Session.name = HOL-Multivariate_Analysis Loading theory "Disjoint_Sets" (required by "Multivariate_Analysis" via "Fashoda" via "Brouwer_Fixpoint" via "Path_Connected" via "Extension" via "Convex_Euclidean_Space" via "Topology_Euclidean_Space" via "Indicator_Function") loading_theory = Disjoint_Sets Loading theory "FuncSet" (required by "Multivariate_Analysis" via "Fashoda" via "Brouwer_Fixpoint" via "Path_Connected" via "Extension" via "Convex_Euclidean_Space" via "Topology_Euclidean_Space") loading_theory = FuncSet Loading theory "Infinite_Set" (required by "Multivariate_Analysis" via "Fashoda" via "Brouwer_Fixpoint" via "Path_Connected" via "Extension" via "Convex_Euclidean_Space" via "Topology_Euclidean_Space" via "Countable_Set") loading_theory = Infinite_Set Loading theory "Multiset" (required by "Multivariate_Analysis" via "Determinants" via "Permutations") loading_theory = Multiset command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=134name=theoryelapsed=0.158 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=421name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=125name=theoryelapsed=0.195 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=213name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=420name=lemmaelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=1014name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=150name=theoryelapsed=0.199 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=1297name=lemmaelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=1226name=lemmaelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=1825name=definitionelapsed=0.025 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=200name=definitionelapsed=0.060 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=2025name=lemmaelapsed=0.023 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=305name=definitionelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=2188name=propositionelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=2441name=propositionelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=2297name=lemmaelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=2665name=lemmaelapsed=0.015 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=416name=definitionelapsed=0.065 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=3505name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=3069name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=3653name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=3208name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=537name=abbreviationelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=3779name=lemmaelapsed=0.010 ML_statistics = :now=1466031486.37tasks_ready=52tasks_pending=46tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=0size_allocation=843382784size_allocation_free=180222736size_heap=843382784size_heap_free_last_full_GC=0size_heap_free_last_GC=0threads_in_ML=4threads_total=11threads_wait_condvar=4threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=3.068time_GC=0user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=3537name=lemmaelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=3971name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=4104name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=4130name=lemmaelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=4418name=lemmaelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=4509name=lemmaelapsed=0.016 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=1067name=definitionelapsed=0.073 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=4677name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=4840name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=1225name=lemmaelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=5406name=lemmaelapsed=0.020 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=1309name=lemmaelapsed=0.014 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=1468name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=5429name=lemmaelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=6250name=definitionelapsed=0.057 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=5674name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=6359name=lemmaelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=5803name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=6573name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=6073name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=6712name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=2052name=lemmaelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=6156name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=2490name=lemmaelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=6306name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=7163name=lemmaelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=6528name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=7450name=definitionelapsed=0.019 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=2554name=lemmaelapsed=0.049 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=338name=theoryelapsed=0.430 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=7565name=lemmaelapsed=0.019 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=3270name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=7805name=lemmaelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=6891name=lemmaelapsed=0.022 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=3389name=lemmaelapsed=0.030 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=7895name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=410name=definitionelapsed=0.051 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=6994name=lemmaelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=8023name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=472name=typedefelapsed=0.020 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=3516name=lemmaelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=8023name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=3575name=lemmaelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=7086name=lemmaelapsed=0.036 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=3894name=lemmaelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=8339name=lemmaelapsed=0.035 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=7216name=lemmaelapsed=0.024 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=3994name=lemmaelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=8339name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=3994name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=4105name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=8749name=lemmaelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=8901name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=4209name=lemmaelapsed=0.011 ML_statistics = :now=1466031486.89tasks_ready=129tasks_pending=46tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=0size_allocation=1349844992size_allocation_free=272846824size_heap=1349844992size_heap_free_last_full_GC=0size_heap_free_last_GC=0threads_in_ML=5threads_total=11threads_wait_condvar=4threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=4.008time_GC=0user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=9053name=lemmaelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=472name=typedefelapsed=0.146 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=4305name=lemmaelapsed=0.037 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=4612name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=7665name=textelapsed=0.086 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=9875name=lemmaelapsed=0.015 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=4733name=lemmaelapsed=0.036 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=10399name=lemmaelapsed=0.026 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=4957name=lemmaelapsed=0.018 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=5054name=lemmaelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=10831name=lemmaelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=11740name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=11740name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=5219name=lemmaelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=11914name=endelapsed=0.024 ### theory "Disjoint_Sets" ### 1.143s elapsed time, 2.524s cpu time, 0.000s GC time Loading theory "Nat_Bijection" (required by "Multivariate_Analysis" via "Fashoda" via "Brouwer_Fixpoint" via "Path_Connected" via "Extension" via "Convex_Euclidean_Space" via "Topology_Euclidean_Space" via "Countable_Set" via "Countable") loading_theory = Nat_Bijection command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=5370name=lemmaelapsed=0.028 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=5481name=lemmaelapsed=0.037 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=5481name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=647name=setup_liftingelapsed=0.249 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=5593name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=5705name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=5769name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=5892name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=1255name=lemmaelapsed=0.022 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=5966name=lemmaelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=1496name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=6080name=lemmaelapsed=0.045 instantiation multiset :: (type) cancel_comm_monoid_add zero_multiset == zero_class.zero :: 'a multiset minus_multiset == minus :: 'a multiset \ 'a multiset \ 'a multiset plus_multiset == plus :: 'a multiset \ 'a multiset \ 'a multiset command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=6227name=lemmaelapsed=0.035 command_timing = :file=~~/src/HOL/Library/Nat_Bijection.thyoffset=270name=theoryelapsed=0.196 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=6227name=lemmaelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Nat_Bijection.thyoffset=399name=definitionelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Nat_Bijection.thyoffset=550name=lemmaelapsed=0.017 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=6471name=lemmaelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=2030name=lift_definitionelapsed=0.089 command_timing = :file=~~/src/HOL/Library/Nat_Bijection.thyoffset=649name=definitionelapsed=0.019 ML_statistics = :now=1466031487.39tasks_ready=166tasks_pending=45tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=0size_allocation=1721040896size_allocation_free=275528160size_heap=1721040896size_heap_free_last_full_GC=0size_heap_free_last_GC=0threads_in_ML=5threads_total=11threads_wait_condvar=4threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=4.796time_GC=0user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=6711name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=7795name=primrecelapsed=0.463 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=2185name=lift_definitionelapsed=0.030 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=6977name=textelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=7984name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=7117name=lemmaelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=8786name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=8939name=lemmaelapsed=0.017 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=7629name=lemmaelapsed=0.021 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=7766name=lemmaelapsed=0.027 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=7766name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=9229name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=7969name=lemmaelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=2185name=lift_definitionelapsed=0.156 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=9977name=lemmaelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=10773name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=11281name=endelapsed=0.032 ### theory "Infinite_Set" ### 1.687s elapsed time, 3.436s cpu time, 0.000s GC time Loading theory "Old_Datatype" (required by "Multivariate_Analysis" via "Fashoda" via "Brouwer_Fixpoint" via "Path_Connected" via "Extension" via "Convex_Euclidean_Space" via "Topology_Euclidean_Space" via "Countable_Set" via "Countable") loading_theory = Old_Datatype command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=2323name=lift_definitionelapsed=0.045 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=8318name=lemmaelapsed=0.051 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=8431name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=8431name=lemmaelapsed=0.028 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=8527name=lemmaelapsed=0.036 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=8719name=lemmaelapsed=0.018 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=8846name=lemmaelapsed=0.015 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=8957name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=2323name=lift_definitionelapsed=0.173 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=9075name=lemmaelapsed=0.018 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=9255name=lemmaelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=2548name=definitionelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=2645name=lift_definitionelapsed=0.017 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=9444name=lemmaelapsed=0.014 Found termination order: "(\p. size (snd p)) <*mlex*> {}" command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=289name=theoryelapsed=0.211 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=2645name=lift_definitionelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Nat_Bijection.thyoffset=828name=funelapsed=0.489 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=9833name=lemmaelapsed=0.012 ML_statistics = :now=1466031487.91tasks_ready=212tasks_pending=45tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=0size_allocation=2077556736size_allocation_free=103647808size_heap=2077556736size_heap_free_last_full_GC=0size_heap_free_last_GC=0threads_in_ML=5threads_total=11threads_wait_condvar=4threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=6.056time_GC=0user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=9833name=lemmaelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Nat_Bijection.thyoffset=1022name=definitionelapsed=0.042 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=9961name=lemmaelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=3158name=definitionelapsed=0.377 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=9961name=lemmaelapsed=0.340 command_timing = :file=~~/src/HOL/Library/Nat_Bijection.thyoffset=2920name=definitionelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Nat_Bijection.thyoffset=3037name=definitionelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Nat_Bijection.thyoffset=4192name=definitionelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Nat_Bijection.thyoffset=4319name=definitionelapsed=0.012 ### ML warning (line 182 of "~~/src/HOL/Tools/datatype_realizer.ML"): ### Pattern is not exhaustive. ### ML warning (line 237 of "~~/src/HOL/Tools/datatype_realizer.ML"): ### Pattern is not exhaustive. signature DATATYPE_REALIZER = sig val add_dt_realizers: Old_Datatype_Aux.config -> string list -> theory -> theory end structure Datatype_Realizer: DATATYPE_REALIZER command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=370name=ML_fileelapsed=0.517 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=13227name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=456name=definitionelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=547name=typedefelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=547name=typedefelapsed=0.034 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=14517name=lemmaelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=841name=definitionelapsed=0.010 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=14915name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=1017name=definitionelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=1244name=definitionelapsed=0.010 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=15534name=lemmaelapsed=0.016 Found termination order: "size_list size <*mlex*> {}" command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=1345name=definitionelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Nat_Bijection.thyoffset=5505name=funelapsed=0.098 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=11590name=definitionelapsed=0.014 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=16258name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=11718name=definitionelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=1926name=definitionelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=2092name=definitionelapsed=0.012 ### theory "FuncSet" ### 2.585s elapsed time, 5.616s cpu time, 0.332s GC time Loading theory "Phantom_Type" (required by "Multivariate_Analysis" via "Fashoda" via "Cartesian_Euclidean_Space" via "Finite_Cartesian_Product" via "Numeral_Type" via "Cardinality") loading_theory = Phantom_Type command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=2203name=definitionelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Nat_Bijection.thyoffset=5636name=functionelapsed=0.072 command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=2355name=definitionelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Nat_Bijection.thyoffset=5636name=functionelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=2492name=definitionelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=2647name=definitionelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=2795name=definitionelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Phantom_Type.thyoffset=119name=theoryelapsed=0.077 command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=3017name=definitionelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=12332name=interpretationelapsed=0.079 command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=3239name=definitionelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Nat_Bijection.thyoffset=8909name=definitionelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=13009name=interpretationelapsed=0.023 ### Rewrite rule not in simpset: ### {#} \# ?n1 \ ?n1 \ {#} ### theory "Nat_Bijection" ### 1.604s elapsed time, 3.912s cpu time, 0.332s GC time ML_statistics = :now=1466031488.72tasks_ready=440tasks_pending=45tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=1size_allocation=2097479680size_allocation_free=792943520size_heap=2159017984size_heap_free_last_full_GC=0size_heap_free_last_GC=2098482416threads_in_ML=5threads_total=11threads_wait_condvar=4threads_wait_IO=0threads_wait_mutex=2threads_wait_signal=1time_CPU=8.276time_GC=0.332user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 Loading theory "Product_plus" (required by "Multivariate_Analysis" via "Fashoda" via "Brouwer_Fixpoint" via "Path_Connected" via "Extension" via "Convex_Euclidean_Space" via "Topology_Euclidean_Space" via "Linear_Algebra" via "Euclidean_Space" via "Product_Vector") loading_theory = Product_plus command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=16525name=definitionelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Product_plus.thyoffset=134name=theoryelapsed=0.078 instantiation prod :: (zero, zero) zero zero_prod == zero_class.zero :: 'a \ 'b command_timing = :file=~~/src/HOL/Library/Product_plus.thyoffset=246name=definitionelapsed=0.011 instantiation prod :: (plus, plus) plus plus_prod == plus :: 'a \ 'b \ 'a \ 'b \ 'a \ 'b ### Partially applied constant "Multiset.inf_subset_mset" on left hand side of equation, in theorem: ### semilattice_inf.Inf_fin op #\ (set (?x # ?xs)) \ ### fold op #\ ?xs ?x command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=16679name=interpretationelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Product_plus.thyoffset=350name=definitionelapsed=0.015 instantiation prod :: (minus, minus) minus minus_prod == minus :: 'a \ 'b \ 'a \ 'b \ 'a \ 'b command_timing = :file=~~/src/HOL/Library/Product_plus.thyoffset=487name=definitionelapsed=0.015 instantiation prod :: (uminus, uminus) uminus uminus_prod == uminus :: 'a \ 'b \ 'a \ 'b command_timing = :file=~~/src/HOL/Library/Product_plus.thyoffset=628name=definitionelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=20507name=definitionelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Product_plus.thyoffset=3042name=lemmaelapsed=0.011 ### theory "Product_plus" ### 0.233s elapsed time, 1.048s cpu time, 0.000s GC time Loading theory "Product_Order" (required by "Multivariate_Analysis" via "Ordered_Euclidean_Space") loading_theory = Product_Order command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=11183name=lemmaelapsed=0.011 ### Partially applied constant "Multiset.sup_subset_mset" on left hand side of equation, in theorem: ### semilattice_sup.Sup_fin op #\ (set (?x # ?xs)) \ ### fold op #\ ?xs ?x command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=11475name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=20670name=interpretationelapsed=0.054 command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=11573name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=22642name=lift_definitionelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=12634name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=12795name=lemmaelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=22642name=lift_definitionelapsed=0.032 command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=13241name=lemmaelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=13489name=lemmaelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=24244name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=13568name=lemmaelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=25006name=definitionelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=13674name=lemmaelapsed=0.013 ML_statistics = :now=1466031489.22tasks_ready=700tasks_pending=45tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=1size_allocation=2523201536size_allocation_free=211940776size_heap=2584739840size_heap_free_last_full_GC=0size_heap_free_last_GC=2098482416threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=9.988time_GC=0.332user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=25192name=definitionelapsed=0.017 instantiation multiset :: (type) size size_multiset == size :: 'a multiset \ nat command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=13850name=lemmaelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=13979name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=25428name=definitionelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=14154name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=14243name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Product_Order.thyoffset=125name=theoryelapsed=0.342 instantiation prod :: (ord, ord) ord less_eq_prod == less_eq :: 'a \ 'b \ 'a \ 'b \ bool less_prod == less :: 'a \ 'b \ 'a \ 'b \ bool command_timing = :file=~~/src/HOL/Library/Product_Order.thyoffset=283name=definitionelapsed=0.023 ### Not an equation, in theorem: ### True command_timing = :file=~~/src/HOL/Library/Product_Order.thyoffset=337name=definitionelapsed=0.021 instantiation prod :: (inf, inf) inf inf_prod == inf :: 'a \ 'b \ 'a \ 'b \ 'a \ 'b command_timing = :file=~~/src/HOL/Library/Product_Order.thyoffset=1201name=definitionelapsed=0.025 instantiation prod :: (sup, sup) sup sup_prod == sup :: 'a \ 'b \ 'a \ 'b \ 'a \ 'b command_timing = :file=~~/src/HOL/Library/Product_Order.thyoffset=1710name=definitionelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=30680name=definitionelapsed=0.020 locale comp_fun_commute = fixes f :: "'a \ 'b \ 'b" assumes "comp_fun_commute f" instantiation prod :: (top, top) top top_prod == top :: 'a \ 'b command_timing = :file=~~/src/HOL/Library/Product_Order.thyoffset=2424name=definitionelapsed=0.018 instantiation prod :: (bot, bot) bot bot_prod == bot :: 'a \ 'b command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=32742name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Product_Order.thyoffset=2831name=definitionelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=32996name=textelapsed=0.012 instantiation prod :: (Inf, Inf) Inf Inf_prod == Inf :: ('a \ 'b) set \ 'a \ 'b command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=33516name=definitionelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Product_Order.thyoffset=3470name=definitionelapsed=0.024 instantiation prod :: (Sup, Sup) Sup Sup_prod == Sup :: ('a \ 'b) set \ 'a \ 'b command_timing = :file=~~/src/HOL/Library/Product_Order.thyoffset=3587name=definitionelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=34701name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=35950name=textelapsed=0.031 ML_statistics = :now=1466031489.72tasks_ready=848tasks_pending=45tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=1size_allocation=3283419136size_allocation_free=410281792size_heap=3344957440size_heap_free_last_full_GC=0size_heap_free_last_GC=2098482416threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=11.432time_GC=0.332user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ### theory "Product_Order" ### 0.799s elapsed time, 2.852s cpu time, 0.000s GC time Loading theory "Set_Algebras" (required by "Multivariate_Analysis" via "Fashoda" via "Brouwer_Fixpoint" via "Path_Connected" via "Extension" via "Convex_Euclidean_Space") loading_theory = Set_Algebras command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=36877name=lemmaelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=37071name=primrecelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Set_Algebras.thyoffset=162name=theoryelapsed=0.099 instantiation set :: (plus) plus plus_set == plus :: 'a set \ 'a set \ 'a set command_timing = :file=~~/src/HOL/Library/Set_Algebras.thyoffset=429name=definitionelapsed=0.023 instantiation set :: (times) times times_set == times :: 'a set \ 'a set \ 'a set command_timing = :file=~~/src/HOL/Library/Set_Algebras.thyoffset=605name=definitionelapsed=0.023 instantiation set :: (zero) zero zero_set == zero_class.zero :: 'a set command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=39967name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Set_Algebras.thyoffset=782name=definitionelapsed=0.017 instantiation set :: (one) one one_set == one_class.one :: 'a set command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=40137name=lemmaelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Set_Algebras.thyoffset=894name=definitionelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=41104name=global_interpretationelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Set_Algebras.thyoffset=966name=definitionelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=41104name=global_interpretationelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Phantom_Type.thyoffset=159name=datatypeelapsed=1.377 command_timing = :file=~~/src/HOL/Library/Set_Algebras.thyoffset=1081name=definitionelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=41270name=lemmaelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Set_Algebras.thyoffset=1198name=abbreviationelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Phantom_Type.thyoffset=612name=typed_print_translationelapsed=0.015 ### theory "Phantom_Type" ### 1.515s elapsed time, 5.812s cpu time, 0.000s GC time Loading theory "Cardinality" (required by "Multivariate_Analysis" via "Fashoda" via "Cartesian_Euclidean_Space" via "Finite_Cartesian_Product" via "Numeral_Type") loading_theory = Cardinality ### ML warning (line 103 of "~~/src/HOL/Tools/Old_Datatype/old_datatype.ML"): ### Pattern is not exhaustive. ### ML warning (line 129 of "~~/src/HOL/Tools/Old_Datatype/old_datatype.ML"): ### Pattern is not exhaustive. ### ML warning (line 239 of "~~/src/HOL/Tools/Old_Datatype/old_datatype.ML"): ### Pattern is not exhaustive. ### ML warning (line 252 of "~~/src/HOL/Tools/Old_Datatype/old_datatype.ML"): ### Pattern is not exhaustive. ### ML warning (line 374 of "~~/src/HOL/Tools/Old_Datatype/old_datatype.ML"): ### Pattern is not exhaustive. ### ML warning (line 663 of "~~/src/HOL/Tools/Old_Datatype/old_datatype.ML"): ### Pattern is not exhaustive. ### ML warning (line 726 of "~~/src/HOL/Tools/Old_Datatype/old_datatype.ML"): ### Pattern is not exhaustive. signature OLD_DATATYPE = sig val add_datatype: config -> spec list -> theory -> string list * theory val add_datatype_cmd: config -> spec_cmd list -> theory -> string list * theory val check_specs: spec list -> theory -> spec list * Proof.context type config = {quiet: bool, strict: bool} val default_config: config type descr = (int * (string * dtyp list * (string * dtyp list) list)) list val distinct_lemma: thm datatype dtyp = DtRec of int | DtTFree of string * sort | DtType of string * dtyp list type info = {case_cong: thm, case_cong_weak: thm, case_name: string, case_rewrites: thm list, descr: descr, distinct: thm list, exhaust: thm, index: int, induct: thm, inducts: thm list, inject: thm list, nchotomy: thm, rec_names: string list, rec_rewrites: thm list, split: thm, split_asm: thm} val read_specs: spec_cmd list -> theory -> spec list * Proof.context type spec = (binding * (string * sort) list * mixfix) * (binding * typ list * mixfix) list val spec_cmd: spec_cmd parser type spec_cmd = (binding * (string * string option) list * mixfix) * (binding * string list * mixfix) list end structure Old_Datatype: OLD_DATATYPE command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=14443name=ML_fileelapsed=0.847 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=131name=theoryelapsed=0.102 ML_statistics = :now=1466031490.22tasks_ready=929tasks_pending=44tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=1size_allocation=3994353664size_allocation_free=516283912size_heap=4055891968size_heap_free_last_full_GC=0size_heap_free_last_GC=2098482416threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=12.848time_GC=0.332user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 class linorder = order + assumes "linear": "\x y. x \ y \ y \ x" command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=43283name=contextelapsed=0.853 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=2274name=lemmaelapsed=0.667 command_timing = :file=~~/src/HOL/Library/Set_Algebras.thyoffset=6338name=lemmaelapsed=0.669 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=43307name=definitionelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=5870name=lemmaelapsed=0.011 ### Additional type variable(s) in locale specification "card2": 'a class card2 = finite + assumes "two_le_card": "2 \ CARD('a)" command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=6120name=classelapsed=0.039 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=45041name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Set_Algebras.thyoffset=10401name=lemmaelapsed=0.014 ### theory "Set_Algebras" ### 1.307s elapsed time, 2.912s cpu time, 0.648s GC time class finite_UNIV = type + fixes finite_UNIV :: "('a, bool) phantom" assumes "finite_UNIV": "finite_UNIV = Phantom('a) (finite UNIV)" command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=6482name=classelapsed=0.047 Loading theory "L2_Norm" (required by "Multivariate_Analysis" via "Fashoda" via "Brouwer_Fixpoint" via "Path_Connected" via "Extension" via "Convex_Euclidean_Space" via "Topology_Euclidean_Space" via "Linear_Algebra" via "Euclidean_Space") loading_theory = L2_Norm locale comm_monoid_mset = fixes f :: "'a \ 'a \ 'a" and z :: "'a" assumes "comm_monoid_mset op \<^bold>* \<^bold>1" command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=47268name=localeelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=6846name=definitionelapsed=0.035 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=47313name=definitionelapsed=0.012 class card_UNIV = finite_UNIV + fixes card_UNIV :: "('a, nat) phantom" assumes "card_UNIV": "card_UNIV_class.card_UNIV = Phantom('a) CARD('a)" command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=7253name=classelapsed=0.033 instantiation nat :: card_UNIV card_UNIV_nat == card_UNIV_class.card_UNIV :: (nat, nat) phantom finite_UNIV_nat == finite_UNIV :: (nat, bool) phantom command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=7460name=definitionelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=7506name=definitionelapsed=0.012 class comm_monoid_add = ab_semigroup_add + monoid_add + assumes "add_0": "\a. (0::'a) + a = a" command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=48168name=contextelapsed=0.042 instantiation int :: card_UNIV card_UNIV_int == card_UNIV_class.card_UNIV :: (int, nat) phantom finite_UNIV_int == finite_UNIV :: (int, bool) phantom command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=7668name=definitionelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=48199name=sublocaleelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/L2_Norm.thyoffset=157name=theoryelapsed=0.133 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=7714name=definitionelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=48199name=sublocaleelapsed=0.010 instantiation natural :: card_UNIV card_UNIV_natural == card_UNIV_class.card_UNIV :: (natural, nat) phantom finite_UNIV_natural == finite_UNIV :: (natural, bool) phantom command_timing = :file=~~/src/HOL/Multivariate_Analysis/L2_Norm.thyoffset=195name=definitionelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=7898name=definitionelapsed=0.012 ### ML warning (line 38 of "~~/src/HOL/Tools/inductive_realizer.ML"): ### Value identifier (P) has not been referenced. ### ML warning (line 45 of "~~/src/HOL/Tools/inductive_realizer.ML"): ### Value identifier (s) has not been referenced. ### ML warning (line 44 of "~~/src/HOL/Tools/inductive_realizer.ML"): ### Matches are not exhaustive. ### ML warning (line 49 of "~~/src/HOL/Tools/inductive_realizer.ML"): ### Value identifier (i) has not been referenced. ### ML warning (line 62 of "~~/src/HOL/Tools/inductive_realizer.ML"): ### Pattern is not exhaustive. ### ML warning (line 102 of "~~/src/HOL/Tools/inductive_realizer.ML"): ### Pattern is not exhaustive. ### ML warning (line 148 of "~~/src/HOL/Tools/inductive_realizer.ML"): ### Value identifier (s) has not been referenced. ### ML warning (line 192 of "~~/src/HOL/Tools/inductive_realizer.ML"): ### Value identifier (used) has not been referenced. ### ML warning (line 159 of "~~/src/HOL/Tools/inductive_realizer.ML"): ### Pattern is not exhaustive. ### ML warning (line 165 of "~~/src/HOL/Tools/inductive_realizer.ML"): ### Pattern is not exhaustive. ### ML warning (line 186 of "~~/src/HOL/Tools/inductive_realizer.ML"): ### Value identifier (U) has not been referenced. ### ML warning (line 186 of "~~/src/HOL/Tools/inductive_realizer.ML"): ### Value identifier (Ts) has not been referenced. ### ML warning (line 204 of "~~/src/HOL/Tools/inductive_realizer.ML"): ### Value identifier (induct) has not been referenced. ### ML warning (line 227 of "~~/src/HOL/Tools/inductive_realizer.ML"): ### Pattern is not exhaustive. ### ML warning (line 228 of "~~/src/HOL/Tools/inductive_realizer.ML"): ### Pattern is not exhaustive. ### ML warning (line 243 of "~~/src/HOL/Tools/inductive_realizer.ML"): ### Value identifier (f) has not been referenced. ### ML warning (line 325 of "~~/src/HOL/Tools/inductive_realizer.ML"): ### Pattern is not exhaustive. ### ML warning (line 340 of "~~/src/HOL/Tools/inductive_realizer.ML"): ### Pattern is not exhaustive. ### ML warning (line 348 of "~~/src/HOL/Tools/inductive_realizer.ML"): ### Matches are not exhaustive. ### ML warning (line 367 of "~~/src/HOL/Tools/inductive_realizer.ML"): ### Matches are not exhaustive. ### ML warning (line 384 of "~~/src/HOL/Tools/inductive_realizer.ML"): ### Pattern is not exhaustive. ### ML warning (line 392 of "~~/src/HOL/Tools/inductive_realizer.ML"): ### Matches are not exhaustive. ### ML warning (line 407 of "~~/src/HOL/Tools/inductive_realizer.ML"): ### Pattern is not exhaustive. ### ML warning (line 431 of "~~/src/HOL/Tools/inductive_realizer.ML"): ### Pattern is not exhaustive. signature INDUCTIVE_REALIZER = sig val add_ind_realizers: string -> string list -> theory -> theory end structure InductiveRealizer: INDUCTIVE_REALIZER command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=14499name=ML_fileelapsed=1.087 ### theory "Old_Datatype" ### 3.585s elapsed time, 10.468s cpu time, 0.980s GC time Loading theory "Countable" (required by "Multivariate_Analysis" via "Fashoda" via "Brouwer_Fixpoint" via "Path_Connected" via "Extension" via "Convex_Euclidean_Space" via "Topology_Euclidean_Space" via "Countable_Set") loading_theory = Countable command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=7948name=definitionelapsed=0.012 instantiation integer :: card_UNIV card_UNIV_integer == card_UNIV_class.card_UNIV :: (integer, nat) phantom finite_UNIV_integer == finite_UNIV :: (integer, bool) phantom command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=8255name=definitionelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=48276name=lemmaelapsed=0.041 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=8305name=definitionelapsed=0.012 instantiation list :: (type) card_UNIV card_UNIV_list == card_UNIV_class.card_UNIV :: ('a list, nat) phantom finite_UNIV_list == finite_UNIV :: ('a list, bool) phantom command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=8619name=definitionelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=48276name=lemmaelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=8669name=definitionelapsed=0.012 instantiation unit :: card_UNIV card_UNIV_unit == card_UNIV_class.card_UNIV :: (unit, nat) phantom finite_UNIV_unit == finite_UNIV :: (unit, bool) phantom command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=8858name=definitionelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=8904name=definitionelapsed=0.012 instantiation bool :: card_UNIV card_UNIV_bool == card_UNIV_class.card_UNIV :: (bool, nat) phantom finite_UNIV_bool == finite_UNIV :: (bool, bool) phantom command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=9070name=definitionelapsed=0.012 ### theory "L2_Norm" ### 0.264s elapsed time, 0.956s cpu time, 0.000s GC time Loading theory "Indicator_Function" (required by "Multivariate_Analysis" via "Fashoda" via "Brouwer_Fixpoint" via "Path_Connected" via "Extension" via "Convex_Euclidean_Space" via "Topology_Euclidean_Space") loading_theory = Indicator_Function command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=9116name=definitionelapsed=0.013 instantiation char :: card_UNIV card_UNIV_char == card_UNIV_class.card_UNIV :: (char, nat) phantom finite_UNIV_char == finite_UNIV :: (char, bool) phantom command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=9282name=definitionelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=49895name=lemmaelapsed=0.017 ML_statistics = :now=1466031491.38tasks_ready=1050tasks_pending=43tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=2size_allocation=4065329152size_allocation_free=3053512304size_heap=4093640704size_heap_free_last_full_GC=0size_heap_free_last_GC=4067324296threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=15.672time_GC=0.98user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=9328name=definitionelapsed=0.013 instantiation prod :: (finite_UNIV, finite_UNIV) finite_UNIV finite_UNIV_prod == finite_UNIV :: ('a \ 'b, bool) phantom command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=9540name=definitionelapsed=0.014 instantiation prod :: (card_UNIV, card_UNIV) card_UNIV card_UNIV_prod == card_UNIV_class.card_UNIV :: ('a \ 'b, nat) phantom command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=9826name=definitionelapsed=0.014 instantiation sum :: (finite_UNIV, finite_UNIV) finite_UNIV finite_UNIV_sum == finite_UNIV :: ('a + 'b, bool) phantom command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=10091name=definitionelapsed=0.015 instantiation sum :: (card_UNIV, card_UNIV) card_UNIV card_UNIV_sum == card_UNIV_class.card_UNIV :: ('a + 'b, nat) phantom class comm_monoid_mult = ab_semigroup_mult + monoid_mult + dvd + assumes "mult_1": "\a. (1::'a) * a = a" command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=50155name=contextelapsed=0.060 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=10410name=definitionelapsed=0.017 instantiation fun :: (finite_UNIV, card_UNIV) finite_UNIV finite_UNIV_fun == finite_UNIV :: ('a \ 'b, bool) phantom command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=50187name=sublocaleelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=50187name=sublocaleelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=10758name=definitionelapsed=0.016 instantiation fun :: (card_UNIV, card_UNIV) card_UNIV card_UNIV_fun == card_UNIV_class.card_UNIV :: ('a \ 'b, nat) phantom command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=11113name=definitionelapsed=0.019 instantiation option :: (finite_UNIV) finite_UNIV finite_UNIV_option == finite_UNIV :: ('a option, bool) phantom command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=11457name=definitionelapsed=0.013 instantiation option :: (card_UNIV) card_UNIV card_UNIV_option == card_UNIV_class.card_UNIV :: ('a option, nat) phantom command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=11678name=definitionelapsed=0.015 instantiation String.literal :: card_UNIV card_UNIV_literal == card_UNIV_class.card_UNIV :: (String.literal, nat) phantom finite_UNIV_literal == finite_UNIV :: (String.literal, bool) phantom command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=11942name=definitionelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=11999name=definitionelapsed=0.012 instantiation set :: (finite_UNIV) finite_UNIV finite_UNIV_set == finite_UNIV :: ('a set, bool) phantom command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=12228name=definitionelapsed=0.013 instantiation set :: (card_UNIV) card_UNIV card_UNIV_set == card_UNIV_class.card_UNIV :: ('a set, nat) phantom command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=51276name=lemmaelapsed=0.069 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=12462name=definitionelapsed=0.017 instantiation Enum.finite_1 :: card_UNIV card_UNIV_finite_1 == card_UNIV_class.card_UNIV :: (Enum.finite_1, nat) phantom finite_UNIV_finite_1 == finite_UNIV :: (Enum.finite_1, bool) phantom command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=13273name=definitionelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=13328name=definitionelapsed=0.012 instantiation Enum.finite_2 :: card_UNIV card_UNIV_finite_2 == card_UNIV_class.card_UNIV :: (Enum.finite_2, nat) phantom finite_UNIV_finite_2 == finite_UNIV :: (Enum.finite_2, bool) phantom command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=13536name=definitionelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=13591name=definitionelapsed=0.014 instantiation Enum.finite_3 :: card_UNIV card_UNIV_finite_3 == card_UNIV_class.card_UNIV :: (Enum.finite_3, nat) phantom finite_UNIV_finite_3 == finite_UNIV :: (Enum.finite_3, bool) phantom command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=51497name=lemmaelapsed=0.084 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=13799name=definitionelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=13854name=definitionelapsed=0.014 instantiation Enum.finite_4 :: card_UNIV card_UNIV_finite_4 == card_UNIV_class.card_UNIV :: (Enum.finite_4, nat) phantom finite_UNIV_finite_4 == finite_UNIV :: (Enum.finite_4, bool) phantom command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=14062name=definitionelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Indicator_Function.thyoffset=132name=theoryelapsed=0.345 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=14117name=definitionelapsed=0.014 instantiation Enum.finite_5 :: card_UNIV card_UNIV_finite_5 == card_UNIV_class.card_UNIV :: (Enum.finite_5, nat) phantom finite_UNIV_finite_5 == finite_UNIV :: (Enum.finite_5, bool) phantom command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=14325name=definitionelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=14380name=definitionelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=51591name=lemmaelapsed=0.095 command_timing = :file=~~/src/HOL/Library/Countable.thyoffset=258name=theoryelapsed=0.557 ### Additional type variable(s) in locale specification "countable": 'a class countable = type + assumes "ex_inj": "\to_nat. inj to_nat" command_timing = :file=~~/src/HOL/Library/Countable.thyoffset=377name=classelapsed=0.031 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=16844name=lemmaelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=51850name=lemmaelapsed=0.095 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=18733name=lemmaelapsed=0.014 ML_statistics = :now=1466031491.89tasks_ready=1128tasks_pending=43tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=2size_allocation=4065329152size_allocation_free=2367399440size_heap=4093640704size_heap_free_last_full_GC=0size_heap_free_last_GC=4067324296threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=17.244time_GC=0.98user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=18917name=lemmaelapsed=0.020 ### theory "Indicator_Function" ### 0.548s elapsed time, 2.164s cpu time, 0.000s GC time Loading theory "Inner_Product" (required by "Multivariate_Analysis" via "Fashoda" via "Brouwer_Fixpoint" via "Path_Connected" via "Extension" via "Convex_Euclidean_Space" via "Topology_Euclidean_Space" via "Linear_Algebra" via "Euclidean_Space") loading_theory = Inner_Product ### Code generator: dropping subsumed code equation ### List.coset [] \ set [] \ False command_timing = :file=~~/src/HOL/Library/Countable.thyoffset=1393name=subclasselapsed=0.041 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=52059name=lemmaelapsed=0.114 command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=141name=theoryelapsed=0.141 class linorder = order + assumes "linear": "\x y. x \ y \ y \ x" command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=52327name=contextelapsed=0.101 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=52689name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=19335name=byelapsed=0.259 ### theory "Cardinality" ### 2.066s elapsed time, 5.980s cpu time, 0.648s GC time Loading theory "Numeral_Type" (required by "Multivariate_Analysis" via "Fashoda" via "Cartesian_Euclidean_Space" via "Finite_Cartesian_Product") loading_theory = Numeral_Type command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=55418name=lemmaelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Countable.thyoffset=1393name=subclasselapsed=0.271 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=57004name=lemmaelapsed=0.011 Proofs for inductive predicate(s) "finite_item" Proving monotonicity ... Proving the introduction rules ... Proving the elimination rules ... Proving the induction rule ... Proving the simplification rules ... command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=57297name=definitionelapsed=0.033 command_timing = :file=~~/src/HOL/Library/Countable.thyoffset=1882name=inductiveelapsed=0.043 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=57472name=lemmaelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=57472name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=116name=theoryelapsed=0.085 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=57785name=lemmaelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=191name=typedefelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=191name=typedefelapsed=0.032 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=59686name=definitionelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=227name=typedefelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=227name=typedefelapsed=0.031 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=265name=typedefelapsed=0.016 ML_statistics = :now=1466031492.39tasks_ready=1185tasks_pending=42tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=2size_allocation=4065329152size_allocation_free=1444478608size_heap=4093640704size_heap_free_last_full_GC=0size_heap_free_last_GC=4067324296threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=18.832time_GC=0.98user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Countable.thyoffset=2232name=functionelapsed=0.169 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=265name=typedefelapsed=0.034 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=66414name=lemmaelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=379name=typedefelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Countable.thyoffset=2232name=functionelapsed=0.026 class real_inner = dist_norm + real_vector + sgn_div_norm + uniformity_dist + open_uniformity + fixes inner :: "'a \ 'a \ real" assumes "inner_commute": "\x y. inner x y = inner y x" and "inner_add_left": "\x y z. inner (x + y) z = inner x z + inner y z" and "inner_scaleR_left": "\r x y. inner (r *\<^sub>R x) y = r * inner x y" and "inner_ge_zero": "\x. 0 \ inner x x" and "inner_eq_zero_iff": "\x. (inner x x = 0) = (x = (0::'a))" and "norm_eq_sqrt_inner": "\x. norm x = sqrt (inner x x)" command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=752name=classelapsed=0.364 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=68706name=definitionelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Countable.thyoffset=2913name=terminationelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=379name=typedefelapsed=0.034 val old_countable_datatype_tac = fn: Proof.context -> int -> tactic command_timing = :file=~~/src/HOL/Library/Countable.thyoffset=4945name=MLelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=70146name=lemmaelapsed=0.030 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=70533name=definitionelapsed=0.015 locale mod_type = fixes n :: "int" and Rep :: "'a \ int" and Abs :: "int \ 'a" assumes "mod_type n Rep Abs" command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=1733name=localeelapsed=0.032 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=70676name=definitionelapsed=0.013 ### ML warning (line 30 of "~~/src/HOL/Tools/BNF/bnf_lfp_countable.ML"): ### Value identifier (ctxt) has not been referenced. ### ML warning (line 93 of "~~/src/HOL/Tools/BNF/bnf_lfp_countable.ML"): ### Pattern is not exhaustive. ### ML warning (line 138 of "~~/src/HOL/Tools/BNF/bnf_lfp_countable.ML"): ### Pattern is not exhaustive. ### ML warning (line 142 of "~~/src/HOL/Tools/BNF/bnf_lfp_countable.ML"): ### Matches are not exhaustive. ### ML warning (line 144 of "~~/src/HOL/Tools/BNF/bnf_lfp_countable.ML"): ### Matches are not exhaustive. ### ML warning (line 155 of "~~/src/HOL/Tools/BNF/bnf_lfp_countable.ML"): ### Pattern is not exhaustive. signature BNF_LFP_COUNTABLE = sig val countable_datatype_tac: Proof.context -> tactic val derive_encode_injectives_thms: Proof.context -> string list -> thm list end structure BNF_LFP_Countable: BNF_LFP_COUNTABLE command_timing = :file=~~/src/HOL/Library/Countable.thyoffset=6432name=ML_fileelapsed=0.079 locale mod_ring = fixes n :: "int" and Rep :: "'a \ int" and Abs :: "int \ 'a" assumes "mod_ring n Rep Abs" command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=3621name=localeelapsed=0.013 val countable_datatype_tac = fn: Proof.context -> thm -> thm Seq.seq val countable_tac = fn: Proof.context -> int -> tactic instantiation num1 :: {comm_monoid_mult,numeral,comm_ring} uminus_num1 == uminus :: num1 \ num1 zero_num1 == zero_class.zero :: num1 minus_num1 == minus :: num1 \ num1 \ num1 plus_num1 == plus :: num1 \ num1 \ num1 one_num1 == one_class.one :: num1 times_num1 == times :: num1 \ num1 \ num1 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=70889name=interpretationelapsed=0.061 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=4955name=instanceelapsed=0.026 instantiation bit0 :: (finite) {minus,one,plus,times,uminus,zero} bit1 :: (finite) {minus,one,plus,times,uminus,zero} zero_bit0 == zero_class.zero :: 'a bit0 uminus_bit0 == uminus :: 'a bit0 \ 'a bit0 times_bit0 == times :: 'a bit0 \ 'a bit0 \ 'a bit0 plus_bit0 == plus :: 'a bit0 \ 'a bit0 \ 'a bit0 one_bit0 == one_class.one :: 'a bit0 minus_bit0 == minus :: 'a bit0 \ 'a bit0 \ 'a bit0 zero_bit1 == zero_class.zero :: 'a bit1 uminus_bit1 == uminus :: 'a bit1 \ 'a bit1 times_bit1 == times :: 'a bit1 \ 'a bit1 \ 'a bit1 plus_bit1 == plus :: 'a bit1 \ 'a bit1 \ 'a bit1 one_bit1 == one_class.one :: 'a bit1 minus_bit1 == minus :: 'a bit1 \ 'a bit1 \ 'a bit1 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=5098name=definitionelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=5198name=definitionelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=5298name=definitionelapsed=0.013 Proofs for inductive predicate(s) "pw_leq" command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=5326name=definitionelapsed=0.013 Proving monotonicity ... Proving the introduction rules ... Proving the elimination rules ... Proving the induction rule ... Proving the simplification rules ... command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=4832name=subclasselapsed=0.068 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=5354name=definitionelapsed=0.539 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=74181name=inductiveelapsed=0.566 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=5411name=definitionelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=5468name=definitionelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=75522name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=5525name=definitionelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=5570name=definitionelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=76893name=setupelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=5598name=definitionelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=5626name=definitionelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=5683name=definitionelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=5740name=definitionelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=80338name=declarationelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=5797name=definitionelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=81465name=code_datatypeelapsed=0.018 ML_statistics = :now=1466031493.4tasks_ready=1311tasks_pending=42tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=3size_allocation=3929014272size_allocation_free=3929014272size_heap=4123000832size_heap_free_last_full_GC=0size_heap_free_last_GC=3929878704threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=20.992time_GC=1.492user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 instantiation bit0 :: (finite) linorder bit1 :: (finite) linorder less_eq_bit0 == less_eq :: 'a bit0 \ 'a bit0 \ bool less_bit0 == less :: 'a bit0 \ 'a bit0 \ bool less_eq_bit1 == less_eq :: 'a bit1 \ 'a bit1 \ bool less_bit1 == less :: 'a bit1 \ 'a bit1 \ bool command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=8087name=definitionelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=8132name=definitionelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Countable.thyoffset=9003name=contextelapsed=0.846 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=8177name=definitionelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=8222name=definitionelapsed=0.013 ### theory "Countable" ### 2.215s elapsed time, 7.216s cpu time, 0.512s GC time Loading theory "Countable_Set" (required by "Multivariate_Analysis" via "Fashoda" via "Brouwer_Fixpoint" via "Path_Connected" via "Extension" via "Convex_Euclidean_Space" via "Topology_Euclidean_Space") loading_theory = Countable_Set command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=8417name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=9175name=code_datatypeelapsed=0.030 instantiation num0 :: equal equal_num0 == equal_class.equal :: num0 \ num0 \ bool command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=9229name=definitionelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=9451name=code_datatypeelapsed=0.032 instantiation num1 :: equal equal_num1 == equal_class.equal :: num1 \ num1 \ bool Found termination order: "(\p. length (fst p)) <*mlex*> {}" command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=9512name=definitionelapsed=0.012 instantiation num1 :: enum enum_num1 == enum_class.enum :: num1 list enum_all_num1 == enum_class.enum_all :: (num1 \ bool) \ bool enum_ex_num1 == enum_class.enum_ex :: (num1 \ bool) \ bool command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=83499name=funelapsed=0.182 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=9771name=definitionelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=4832name=subclasselapsed=0.918 instantiation multiset :: (equal) equal equal_multiset == equal_class.equal :: 'a multiset \ 'a multiset \ bool command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=9814name=definitionelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=85341name=definitionelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=9865name=definitionelapsed=0.011 instantiation num0 :: card_UNIV num1 :: card_UNIV card_UNIV_num0 == card_UNIV_class.card_UNIV :: (num0, nat) phantom finite_UNIV_num0 == finite_UNIV :: (num0, bool) phantom card_UNIV_num1 == card_UNIV_class.card_UNIV :: (num1, nat) phantom finite_UNIV_num1 == finite_UNIV :: (num1, bool) phantom command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=10128name=definitionelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=10175name=definitionelapsed=0.012 instantiation real :: real_inner inner_real == inner :: real \ real \ real command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=10216name=definitionelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=8525name=definitionelapsed=0.015 instantiation complex :: real_inner inner_complex == inner :: complex \ complex \ real command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=10262name=definitionelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=9162name=definitionelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=86107name=definitionelapsed=0.061 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=10513name=declareelapsed=0.021 instantiation multiset :: (random) random random_multiset == random_class.random :: natural \ natural \ natural \ ('a multiset \ (unit \ term)) \ natural \ natural command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=10322name=definitionelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=86441name=definitionelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=10930name=declareelapsed=0.021 instantiation bit0 :: (finite) equal bit1 :: (finite) equal equal_bit0 == equal_class.equal :: 'a bit0 \ 'a bit0 \ bool equal_bit1 == equal_class.equal :: 'a bit1 \ 'a bit1 \ bool command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=11406name=definitionelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=11467name=definitionelapsed=0.013 instantiation bit0 :: (finite) enum enum_bit0 == enum_class.enum :: 'a bit0 list enum_all_bit0 == enum_class.enum_all :: ('a bit0 \ bool) \ bool enum_ex_bit0 == enum_class.enum_ex :: ('a bit0 \ bool) \ bool command_timing = :file=~~/src/HOL/Library/Countable_Set.thyoffset=139name=theoryelapsed=0.288 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=11683name=definitionelapsed=0.016 ### theory "Inner_Product" ### 1.867s elapsed time, 5.880s cpu time, 0.512s GC time Loading theory "Product_Vector" (required by "Multivariate_Analysis" via "Fashoda" via "Brouwer_Fixpoint" via "Path_Connected" via "Extension" via "Convex_Euclidean_Space" via "Topology_Euclidean_Space" via "Linear_Algebra" via "Euclidean_Space") loading_theory = Product_Vector command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=11778name=definitionelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=11858name=definitionelapsed=0.014 instantiation bit1 :: (finite) enum enum_bit1 == enum_class.enum :: 'a bit1 list enum_all_bit1 == enum_class.enum_all :: ('a bit1 \ bool) \ bool enum_ex_bit1 == enum_class.enum_ex :: ('a bit1 \ bool) \ bool command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=12694name=definitionelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=86559name=no_notationelapsed=0.118 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=12789name=definitionelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Countable_Set.thyoffset=2796name=definitionelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=12869name=definitionelapsed=0.014 instantiation bit0 :: (finite) finite_UNIV bit1 :: (finite) finite_UNIV finite_UNIV_bit0 == finite_UNIV :: ('a bit0, bool) phantom finite_UNIV_bit1 == finite_UNIV :: ('a bit1, bool) phantom command_timing = :file=~~/src/HOL/Library/Countable_Set.thyoffset=2941name=definitionelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=13779name=definitionelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=13828name=definitionelapsed=0.012 instantiation bit0 :: ({card_UNIV,finite}) card_UNIV bit1 :: ({card_UNIV,finite}) card_UNIV card_UNIV_bit0 == card_UNIV_class.card_UNIV :: ('a bit0, nat) phantom card_UNIV_bit1 == card_UNIV_class.card_UNIV :: ('a bit1, nat) phantom command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=14036name=definitionelapsed=0.016 ML_statistics = :now=1466031493.9tasks_ready=1398tasks_pending=40tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=3size_allocation=3929014272size_allocation_free=3031991080size_heap=4123000832size_heap_free_last_full_GC=0size_heap_free_last_GC=3929878704threads_in_ML=4threads_total=11threads_wait_condvar=4threads_wait_IO=0threads_wait_mutex=2threads_wait_signal=1time_CPU=22.584time_GC=1.492user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=14123name=definitionelapsed=0.017 ### theory "Numeral_Type" ### 1.759s elapsed time, 5.448s cpu time, 0.512s GC time Loading theory "Liminf_Limsup" (required by "Multivariate_Analysis" via "Fashoda" via "Cartesian_Euclidean_Space" via "Integration" via "Derivative" via "Uniform_Limit" via "Summation" via "Extended_Real") loading_theory = Liminf_Limsup command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=86594name=no_notationelapsed=0.135 instantiation multiset :: (full_exhaustive) full_exhaustive full_exhaustive_multiset == full_exhaustive_class.full_exhaustive :: ('a multiset \ (unit \ term) \ (bool \ term list) option) \ natural \ (bool \ term list) option command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=86697name=definitionelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=87008name=definitionelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=87112name=lemmaelapsed=0.011 Proofs for inductive predicate(s) "pred_mset" Proving monotonicity ... Proving the introduction rules ... Proving the elimination rules ... Proving the induction rule ... Proving the simplification rules ... command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=90444name=inductiveelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=199name=theoryelapsed=0.158 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=90580name=bnfelapsed=0.064 Proofs for inductive predicate(s) "rel_mset'" ### theory "Countable_Set" ### 0.679s elapsed time, 2.696s cpu time, 0.000s GC time Loading theory "Countable_Complete_Lattices" (required by "Multivariate_Analysis" via "Fashoda" via "Cartesian_Euclidean_Space" via "Integration" via "Derivative" via "Uniform_Limit" via "Summation" via "Extended_Real" via "Extended_Nat" via "Order_Continuity") loading_theory = Countable_Complete_Lattices Proving monotonicity ... Proving the introduction rules ... Proving the elimination rules ... Proving the induction rule ... Proving the simplification rules ... command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=92716name=inductiveelapsed=0.040 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=248name=lemmaelapsed=0.105 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=129name=theoryelapsed=0.474 instantiation prod :: (real_vector, real_vector) real_vector scaleR_prod == scaleR :: real \ 'a \ 'b \ 'a \ 'b command_timing = :file=~~/src/HOL/Library/Countable_Complete_Lattices.thyoffset=135name=theoryelapsed=0.104 ### theory "Multiset" ### 8.018s elapsed time, 23.512s cpu time, 1.492s GC time Loading theory "Permutations" (required by "Multivariate_Analysis" via "Determinants") loading_theory = Permutations command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=306name=definitionelapsed=0.021 instantiation prod :: (metric_space, metric_space) dist dist_prod == dist :: 'a \ 'b \ 'a \ 'b \ real command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=1284name=definitionelapsed=0.026 instantiation prod :: (metric_space, metric_space) uniformity_dist uniformity_prod == uniformity :: (('a \ 'b) \ 'a \ 'b) filter command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=606name=lemmaelapsed=0.108 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=1486name=definitionelapsed=0.026 instantiation prod :: (metric_space, metric_space) metric_space ML_statistics = :now=1466031494.4tasks_ready=1539tasks_pending=38tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=3size_allocation=3929014272size_allocation_free=1410301224size_heap=4123000832size_heap_free_last_full_GC=0size_heap_free_last_GC=3929878704threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=25.716time_GC=1.492user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 instantiation prod :: (real_normed_vector, real_normed_vector) real_normed_vector sgn_prod == sgn :: 'a \ 'b \ 'a \ 'b norm_prod == norm :: 'a \ 'b \ real command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=7009name=definitionelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=7102name=definitionelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=1295name=lemmaelapsed=0.107 instantiation prod :: (real_inner, real_inner) real_inner inner_prod == inner :: 'a \ 'b \ 'a \ 'b \ real command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=11121name=definitionelapsed=0.021 ### theory "Product_Vector" ### 0.777s elapsed time, 3.036s cpu time, 0.000s GC time Loading theory "Convex" (required by "Multivariate_Analysis" via "Fashoda" via "Brouwer_Fixpoint" via "Path_Connected" via "Extension" via "Convex_Euclidean_Space") loading_theory = Convex command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=1653name=lemmaelapsed=0.109 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=2754name=definitionelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=2897name=definitionelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=3337name=lemmaelapsed=0.010 class countable_complete_lattice = Inf + Sup + lattice + bot + top + assumes "ccInf_lower": "\A x. \countable A; x \ A\ \ Inf A \ x" assumes "ccInf_greatest": "\A z. \countable A; \x. x \ A \ z \ x\ \ z \ Inf A" assumes "ccSup_upper": "\A x. \countable A; x \ A\ \ x \ Sup A" assumes "ccSup_least": "\A z. \countable A; \x. x \ A \ x \ z\ \ Sup A \ z" assumes "ccInf_empty": "Inf {} = top" assumes "ccSup_empty": "Sup {} = bot" command_timing = :file=~~/src/HOL/Library/Countable_Complete_Lattices.thyoffset=308name=classelapsed=0.441 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=174name=theoryelapsed=0.165 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=175name=theoryelapsed=0.449 command_timing = :file=~~/src/HOL/Library/Countable_Complete_Lattices.thyoffset=733name=subclasselapsed=0.048 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=242name=definitionelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=665name=definitionelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=4397name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=5938name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=4785name=lemmaelapsed=0.010 ML_statistics = :now=1466031494.9tasks_ready=1651tasks_pending=36tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=3size_allocation=3929014272size_allocation_free=519510448size_heap=4123000832size_heap_free_last_full_GC=0size_heap_free_last_GC=3929878704threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=27.316time_GC=1.492user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=7517name=lemmaelapsed=0.010 ### theory "Liminf_Limsup" ### 0.963s elapsed time, 3.784s cpu time, 0.000s GC time Loading theory "Euclidean_Space" (required by "Multivariate_Analysis" via "Fashoda" via "Brouwer_Fixpoint" via "Path_Connected" via "Extension" via "Convex_Euclidean_Space" via "Topology_Euclidean_Space" via "Linear_Algebra") loading_theory = Euclidean_Space command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=9008name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=9295name=definitionelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=9473name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=9975name=lemmaelapsed=0.010 Proofs for inductive predicate(s) "swapidseq" command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=10460name=lemmaelapsed=0.010 Proving monotonicity ... Proving the introduction rules ... Proving the elimination rules ... Proving the induction rule ... Proving the simplification rules ... command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=10036name=inductiveelapsed=0.033 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=13968name=lemmaelapsed=0.623 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=11673name=lemmaelapsed=0.630 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=12999name=lemmaelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Countable_Complete_Lattices.thyoffset=733name=subclasselapsed=0.932 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=16321name=lemmaelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=13274name=lemmaelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=19812name=lemmaelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Countable_Complete_Lattices.thyoffset=1176name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Countable_Complete_Lattices.thyoffset=1283name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=17916name=definitionelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=20815name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Countable_Complete_Lattices.thyoffset=1404name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Countable_Complete_Lattices.thyoffset=1504name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Countable_Complete_Lattices.thyoffset=1618name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Countable_Complete_Lattices.thyoffset=1718name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=23731name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Countable_Complete_Lattices.thyoffset=1832name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=23718name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Countable_Complete_Lattices.thyoffset=1947name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Countable_Complete_Lattices.thyoffset=2064name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=25291name=definitionelapsed=0.010 ### theory "Convex" ### 1.317s elapsed time, 3.348s cpu time, 0.608s GC time Loading theory "Nonpos_Ints" (required by "Multivariate_Analysis" via "Conformal_Mappings" via "Cauchy_Integral_Thm" via "Complex_Transcendental" via "Complex_Analysis_Basics") loading_theory = Nonpos_Ints command_timing = :file=~~/src/HOL/Multivariate_Analysis/Euclidean_Space.thyoffset=218name=theoryelapsed=1.080 ML_statistics = :now=1466031496tasks_ready=1775tasks_pending=36tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=4size_allocation=3889168384size_allocation_free=3889168384size_heap=4109369344size_heap_free_last_full_GC=0size_heap_free_last_GC=3889726480threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=28.244time_GC=2.1user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=36800name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=143name=theoryelapsed=0.145 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=38533name=definitionelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=387name=definitionelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=39049name=definitionelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=5215name=definitionelapsed=0.011 Found termination order: "(\p. size_list size (fst p)) <*mlex*> {}" command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=39328name=funelapsed=0.130 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=7570name=definitionelapsed=0.011 ### theory "Nonpos_Ints" ### 0.383s elapsed time, 1.532s cpu time, 0.000s GC time Loading theory "Operator_Norm" (required by "Multivariate_Analysis" via "Fashoda" via "Cartesian_Euclidean_Space" via "Integration" via "Derivative") loading_theory = Operator_Norm ### theory "Permutations" ### 2.011s elapsed time, 6.120s cpu time, 0.608s GC time Loading theory "Periodic_Fun" (required by "Multivariate_Analysis" via "Gamma") loading_theory = Periodic_Fun class euclidean_space = real_inner + fixes Basis :: "'a set" assumes "nonempty_Basis": "Basis \ {}" assumes "finite_Basis": "finite Basis" assumes "inner_Basis": "\u v. \u \ Basis; v \ Basis\ \ inner u v = (if u = v then 1 else 0)" assumes "euclidean_all_zero_iff": "\x. (\u\Basis. inner x u = 0) = (x = (0::'a))" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Euclidean_Space.thyoffset=386name=classelapsed=0.357 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Euclidean_Space.thyoffset=1069name=lemmaelapsed=0.045 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Operator_Norm.thyoffset=174name=theoryelapsed=0.138 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Operator_Norm.thyoffset=297name=definitionelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Periodic_Fun.thyoffset=117name=theoryelapsed=0.143 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Euclidean_Space.thyoffset=1198name=lemmaelapsed=0.045 command_timing = :file=~~/src/HOL/Library/Periodic_Fun.thyoffset=165name=textelapsed=0.010 locale periodic_fun = fixes f :: "'a \ 'b" and g :: "'a \ 'a \ 'a" and gm :: "'a \ 'a \ 'a" and g1 :: "'a \ 'a" and gn1 :: "'a \ 'a" assumes "periodic_fun f g gm g1 gn1" command_timing = :file=~~/src/HOL/Library/Periodic_Fun.thyoffset=647name=localeelapsed=0.028 ML_statistics = :now=1466031496.5tasks_ready=1913tasks_pending=36tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=4size_allocation=3889168384size_allocation_free=1785416304size_heap=4109369344size_heap_free_last_full_GC=0size_heap_free_last_GC=3889726480threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=31.392time_GC=2.1user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Euclidean_Space.thyoffset=1307name=lemmaelapsed=0.048 ### theory "Operator_Norm" ### 0.249s elapsed time, 0.996s cpu time, 0.000s GC time Loading theory "PolyRoots" loading_theory = PolyRoots locale periodic_fun_simple = fixes f :: "'a \ 'b" and period :: "'a" assumes "periodic_fun_simple f period" command_timing = :file=~~/src/HOL/Library/Periodic_Fun.thyoffset=2533name=localeelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Euclidean_Space.thyoffset=1434name=lemmaelapsed=0.046 locale periodic_fun_simple' = fixes f :: "'a \ 'b" assumes "periodic_fun_simple' f" command_timing = :file=~~/src/HOL/Library/Periodic_Fun.thyoffset=2962name=localeelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Euclidean_Space.thyoffset=1548name=lemmaelapsed=0.045 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Euclidean_Space.thyoffset=1690name=lemmaelapsed=0.046 ### theory "Periodic_Fun" ### 0.350s elapsed time, 1.400s cpu time, 0.000s GC time Loading theory "Sum_of_Squares" (required by "Multivariate_Analysis" via "Fashoda" via "Brouwer_Fixpoint" via "Path_Connected" via "Extension" via "Convex_Euclidean_Space" via "Topology_Euclidean_Space" via "Norm_Arith") loading_theory = Sum_of_Squares command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=188name=theoryelapsed=0.140 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Euclidean_Space.thyoffset=1767name=lemmaelapsed=0.045 class countable_complete_distrib_lattice = countable_complete_lattice + assumes "sup_ccInf": "\B a. countable B \ sup a (Inf B) = (INF b:B. sup a b)" assumes "inf_ccSup": "\B a. countable B \ inf a (Sup B) = (SUP b:B. inf a b)" command_timing = :file=~~/src/HOL/Library/Countable_Complete_Lattices.thyoffset=7335name=classelapsed=0.489 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Euclidean_Space.thyoffset=1885name=lemmaelapsed=0.048 command_timing = :file=~~/src/HOL/Library/Sum_of_Squares.thyoffset=300name=theoryelapsed=0.141 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Euclidean_Space.thyoffset=2094name=lemmaelapsed=0.048 command_timing = :file=~~/src/HOL/Library/Countable_Complete_Lattices.thyoffset=7834name=subclasselapsed=0.045 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Euclidean_Space.thyoffset=2359name=lemmaelapsed=0.048 ### theory "PolyRoots" ### 0.323s elapsed time, 1.288s cpu time, 0.000s GC time command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=501name=byelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Euclidean_Space.thyoffset=2484name=lemmaelapsed=0.049 ### Rule already declared as safe introduction (intro!) ### True ### Ignoring duplicate introduction (intro) ### True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Euclidean_Space.thyoffset=2640name=lemmaelapsed=0.049 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=1125name=byelapsed=0.054 ML_statistics = :now=1466031497tasks_ready=1966tasks_pending=36tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=4size_allocation=3889168384size_allocation_free=753692952size_heap=4109369344size_heap_free_last_full_GC=0size_heap_free_last_GC=3889726480threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=32.996time_GC=2.1user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Euclidean_Space.thyoffset=2827name=lemmaelapsed=0.048 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=739name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=1262name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=895name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Euclidean_Space.thyoffset=2967name=lemmaelapsed=0.050 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=1526name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=1526name=obtainelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Countable_Complete_Lattices.thyoffset=7834name=subclasselapsed=0.288 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=1629name=ultimatelyelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Euclidean_Space.thyoffset=3290name=lemmaelapsed=0.048 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=1640name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Countable_Complete_Lattices.thyoffset=8387name=lemmaelapsed=0.439 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Euclidean_Space.thyoffset=4471name=instanceelapsed=0.061 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=1414name=byelapsed=0.059 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=1612name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=1677name=showelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=1843name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=2029name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Countable_Complete_Lattices.thyoffset=9918name=subclasselapsed=0.107 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=2129name=applyelapsed=0.096 ML_statistics = :now=1466031497.88tasks_ready=1979tasks_pending=36tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=5size_allocation=3791650816size_allocation_free=3791650816size_heap=4137680896size_heap_free_last_full_GC=0size_heap_free_last_GC=3792467072threads_in_ML=3threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=34.22time_GC=2.524user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Euclidean_Space.thyoffset=4471name=instanceelapsed=0.303 instantiation real :: euclidean_space Basis_real == Basis :: real set command_timing = :file=~~/src/HOL/Multivariate_Analysis/Euclidean_Space.thyoffset=5197name=definitionelapsed=0.015 instantiation complex :: euclidean_space Basis_complex == Basis :: complex set command_timing = :file=~~/src/HOL/Multivariate_Analysis/Euclidean_Space.thyoffset=5408name=definitionelapsed=0.014 instantiation prod :: (euclidean_space, euclidean_space) euclidean_space Basis_prod == Basis :: ('a \ 'b) set command_timing = :file=~~/src/HOL/Multivariate_Analysis/Euclidean_Space.thyoffset=5764name=definitionelapsed=0.017 ### theory "Euclidean_Space" ### 3.111s elapsed time, 9.224s cpu time, 1.032s GC time Loading theory "Finite_Cartesian_Product" (required by "Multivariate_Analysis" via "Fashoda" via "Cartesian_Euclidean_Space") loading_theory = Finite_Cartesian_Product command_timing = :file=~~/src/HOL/Library/Countable_Complete_Lattices.thyoffset=9918name=subclasselapsed=0.325 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=2252name=byelapsed=0.286 Loading theory "Linear_Algebra" (required by "Multivariate_Analysis" via "Fashoda" via "Brouwer_Fixpoint" via "Path_Connected" via "Extension" via "Convex_Euclidean_Space" via "Topology_Euclidean_Space") loading_theory = Linear_Algebra command_timing = :file=~~/src/HOL/Library/Countable_Complete_Lattices.thyoffset=10048name=subclasselapsed=0.125 ML_statistics = :now=1466031498.39tasks_ready=1988tasks_pending=34tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=5size_allocation=3791650816size_allocation_free=2119125344size_heap=4137680896size_heap_free_last_full_GC=0size_heap_free_last_GC=3792467072threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=37.412time_GC=2.524user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Countable_Complete_Lattices.thyoffset=10048name=subclasselapsed=0.300 ### theory "Countable_Complete_Lattices" ### 4.374s elapsed time, 14.232s cpu time, 1.032s GC time Loading theory "Order_Continuity" (required by "Multivariate_Analysis" via "Fashoda" via "Cartesian_Euclidean_Space" via "Integration" via "Derivative" via "Uniform_Limit" via "Summation" via "Extended_Real" via "Extended_Nat") loading_theory = Order_Continuity command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=177name=theoryelapsed=0.396 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=351name=definitionelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=187name=theoryelapsed=0.560 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=366name=typedefelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=366name=typedefelapsed=0.052 instantiation vec :: (zero, finite) zero zero_vec == zero_class.zero :: ('a, 'b) vec command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=1643name=definitionelapsed=0.017 instantiation vec :: (plus, finite) plus plus_vec == plus :: ('a, 'b) vec \ ('a, 'b) vec \ ('a, 'b) vec command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=1737name=definitionelapsed=0.020 instantiation vec :: (minus, finite) minus minus_vec == minus :: ('a, 'b) vec \ ('a, 'b) vec \ ('a, 'b) vec command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=1853name=definitionelapsed=0.021 instantiation vec :: (uminus, finite) uminus uminus_vec == uminus :: ('a, 'b) vec \ ('a, 'b) vec command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=1971name=definitionelapsed=0.019 instantiation vec :: (real_vector, finite) real_vector scaleR_vec == scaleR :: real \ ('a, 'b) vec \ ('a, 'b) vec command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=5723name=definitionelapsed=0.059 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=3378name=definitionelapsed=0.020 instantiation vec :: (topological_space, finite) topological_space open_vec == open :: ('a, 'b) vec set \ bool command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=3744name=definitionelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=5867name=definitionelapsed=0.053 ML_statistics = :now=1466031498.89tasks_ready=2057tasks_pending=33tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=5size_allocation=3791650816size_allocation_free=1375360736size_heap=4137680896size_heap_free_last_full_GC=0size_heap_free_last_GC=3792467072threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=39.016time_GC=2.524user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=5924name=definitionelapsed=0.056 instantiation vec :: (metric_space, finite) dist dist_vec == dist :: ('a, 'b) vec \ ('a, 'b) vec \ real command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=7591name=definitionelapsed=0.023 instantiation vec :: (metric_space, finite) uniformity_dist uniformity_vec == uniformity :: (('a, 'b) vec \ ('a, 'b) vec) filter command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=5997name=abbreviationelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=7736name=definitionelapsed=0.029 instantiation vec :: (metric_space, finite) metric_space command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=179name=theoryelapsed=0.456 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=6175name=lemmaelapsed=0.038 instantiation vec :: (real_normed_vector, finite) real_normed_vector sgn_vec == sgn :: ('a, 'b) vec \ ('a, 'b) vec norm_vec == norm :: ('a, 'b) vec \ real command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=12405name=definitionelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=6258name=lemmaelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=12456name=definitionelapsed=0.021 instantiation vec :: (real_inner, finite) real_inner inner_vec == inner :: ('a, 'b) vec \ ('a, 'b) vec \ real command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=6363name=lemmaelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=13587name=definitionelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=14444name=definitionelapsed=0.012 instantiation vec :: (euclidean_space, finite) euclidean_space Basis_vec == Basis :: ('a, 'b) vec set command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=6686name=lemmaelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=15481name=definitionelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=1083name=named_theoremselapsed=0.155 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=1170name=definitionelapsed=0.016 ### theory "Finite_Cartesian_Product" ### 1.146s elapsed time, 4.584s cpu time, 0.000s GC time command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=7058name=lemmaelapsed=0.040 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=2282name=applyelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=1919name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=7596name=lemmaelapsed=0.040 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=5572name=lemmaelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=7685name=definitionelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=7689name=lemmaelapsed=0.048 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=8458name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=2379name=applyelapsed=0.143 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=7874name=lemmaelapsed=0.047 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=2568name=byelapsed=0.026 ML_statistics = :now=1466031499.71tasks_ready=2118tasks_pending=33tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=6size_allocation=3763339264size_allocation_free=3763339264size_heap=4143972352size_heap_free_last_full_GC=0size_heap_free_last_GC=3765080168threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=41.36time_GC=2.864user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=2521name=byelapsed=0.354 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=12163name=lemmaelapsed=0.358 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=8246name=lemmaelapsed=0.354 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=12667name=lemmaelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=8412name=lemmaelapsed=0.039 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=2736name=byelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=8878name=lemmaelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=9064name=lemmaelapsed=0.035 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=15117name=definitionelapsed=0.127 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=9314name=lemmaelapsed=0.038 ### theory "Order_Continuity" ### 1.363s elapsed time, 4.360s cpu time, 0.340s GC time Loading theory "Extended_Nat" (required by "Multivariate_Analysis" via "Fashoda" via "Cartesian_Euclidean_Space" via "Integration" via "Derivative" via "Uniform_Limit" via "Summation" via "Extended_Real") loading_theory = Extended_Nat command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=2791name=byelapsed=0.126 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=9450name=lemmaelapsed=0.038 Proofs for inductive predicate(s) "span_induct_alt_helpp" Proving monotonicity ... Proving the introduction rules ... Proving the elimination rules ... Proving the induction rule ... Proving the simplification rules ... command_timing = :file=~~/src/HOL/Library/Extended_Nat.thyoffset=236name=theoryelapsed=0.160 class infinity = type + fixes infinity :: "'a" command_timing = :file=~~/src/HOL/Library/Extended_Nat.thyoffset=303name=classelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=9591name=inductive_setelapsed=0.198 command_timing = :file=~~/src/HOL/Library/Extended_Nat.thyoffset=829name=typedefelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Extended_Nat.thyoffset=829name=typedefelapsed=0.039 instantiation enat :: infinity infinity_enat == infinity :: enat command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=11905name=lemmaelapsed=0.039 command_timing = :file=~~/src/HOL/Library/Extended_Nat.thyoffset=1064name=definitionelapsed=0.016 Proofs for inductive predicate(s) "rec_set_enat" ML_statistics = :now=1466031500.22tasks_ready=2144tasks_pending=32tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=6size_allocation=3763339264size_allocation_free=2660328480size_heap=4143972352size_heap_free_last_full_GC=0size_heap_free_last_GC=3765080168threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=42.896time_GC=2.864user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 Proving monotonicity ... Proving the introduction rules ... Proving the elimination rules ... Proving the simplification rules ... command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=11994name=lemmaelapsed=0.039 ### ML warning (line 384 of "~~/src/HOL/Library/positivstellensatz.ML"): ### Pattern is not exhaustive. signature FUNC = sig exception DUP of key exception SAME exception UNDEF of key val apply: 'a table -> key -> 'a val applyd: 'a table -> (key -> 'a) -> key -> 'a val choose: 'a table -> key * 'a val combine: ('a -> 'a -> 'a) -> ('a -> bool) -> 'a table -> 'a table -> 'a table val cons_list: key * 'a -> 'a list table -> 'a list table val default: key * 'a -> 'a table -> 'a table val defined: 'a table -> key -> bool val delete: key -> 'a table -> 'a table val delete_safe: key -> 'a table -> 'a table val dest: 'a table -> (key * 'a) list val dest_list: 'a list table -> (key * 'a) list val dom: 'a table -> key list val empty: 'a table val exists: (key * 'a -> bool) -> 'a table -> bool val fold: (key * 'a -> 'b -> 'b) -> 'a table -> 'b -> 'b val fold_rev: (key * 'a -> 'b -> 'b) -> 'a table -> 'b -> 'b val forall: (key * 'a -> bool) -> 'a table -> bool val get_first: (key * 'a -> 'b option) -> 'a table -> 'b option val insert: ('a * 'a -> bool) -> key * 'a -> 'a table -> 'a table val insert_list: ('a * 'a -> bool) -> key * 'a -> 'a list table -> 'a list table val is_empty: 'a table -> bool val join: (key -> 'a * 'a -> 'a) -> 'a table * 'a table -> 'a table type key val keys: 'a table -> key list val lookup: 'a table -> key -> 'a option val lookup_key: 'a table -> key -> (key * 'a) option val lookup_list: 'a list table -> key -> 'a list val make: (key * 'a) list -> 'a table val make_list: (key * 'a) list -> 'a list table val make_set: key list -> set val map: (key -> 'a -> 'b) -> 'a table -> 'b table val map_default: key * 'a -> ('a -> 'a) -> 'a table -> 'a table val map_entry: key -> ('a -> 'a) -> 'a table -> 'a table val max: 'a table -> (key * 'a) option val member: ('a * 'b -> bool) -> 'b table -> key * 'a -> bool val merge: ('a * 'a -> bool) -> 'a table * 'a table -> 'a table val merge_list: ('a * 'a -> bool) -> 'a list table * 'a list table -> 'a list table val min: 'a table -> (key * 'a) option val onefunc: key * 'a -> 'a table val remove: ('a * 'b -> bool) -> key * 'a -> 'b table -> 'b table val remove_list: ('a * 'b -> bool) -> key * 'a -> 'b list table -> 'b list table type set = unit table type 'a table val tryapplyd: 'a table -> key -> 'a -> 'a val update: key * 'a -> 'a table -> 'a table val update_list: ('a * 'a -> bool) -> key * 'a -> 'a list table -> 'a list table val update_new: key * 'a -> 'a table -> 'a table val updatep: (key * 'a -> bool) -> key * 'a -> 'a table -> 'a table end functor FuncFun (Key: KEY): FUNC signature REAL_ARITH = sig type cert_conv = cterm -> thm * pss_tree val cterm_of_rat: Rat.rat -> cterm val dest_ratconst: cterm -> Rat.rat val gen_gen_real_arith: Proof.context -> (Rat.rat -> cterm) * conv * conv * conv * conv * conv * conv * conv * conv * conv * prover -> cert_conv val gen_prover_real_arith: Proof.context -> prover -> cert_conv val gen_real_arith: Proof.context -> (Rat.rat -> cterm) * conv * conv * conv * conv * conv * conv * conv * prover -> cert_conv val is_ratconst: cterm -> bool datatype positivstellensatz = Axiom_eq of int | Axiom_le of int | Axiom_lt of int | Eqmul of FuncUtil.poly * positivstellensatz | Product of positivstellensatz * positivstellensatz | Rational_eq of Rat.rat | Rational_le of Rat.rat | Rational_lt of Rat.rat | Square of FuncUtil.poly | Sum of positivstellensatz * positivstellensatz type prover = tree_choice list -> (thm list * thm list * thm list -> positivstellensatz -> thm) -> thm list * thm list * thm list -> thm * pss_tree datatype pss_tree = Branch of pss_tree * pss_tree | Cert of positivstellensatz | Trivial val real_linear_prover: (thm list * thm list * thm list -> positivstellensatz -> thm) -> thm list * thm list * thm list -> thm * pss_tree datatype tree_choice = Left | Right end structure FuncUtil: sig structure Ctermfunc: FUNC structure Intfunc: FUNC structure Intpairfunc: FUNC structure Monomialfunc: FUNC structure Ratfunc: FUNC structure Symfunc: FUNC structure Termfunc: FUNC val cterm_ord: cterm * cterm -> order val dest_monomial: 'a Ctermfunc.table -> (cterm * 'a) list type monomial = int Ctermfunc.table val monomial_ord: int Ctermfunc.table * int Ctermfunc.table -> order val monomial_order: int Ctermfunc.table * int Ctermfunc.table -> order type poly = Rat.rat Monomialfunc.table end structure RealArith: REAL_ARITH command_timing = :file=~~/src/HOL/Library/Sum_of_Squares.thyoffset=350name=ML_fileelapsed=3.453 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=12336name=lemmaelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=12471name=lemmaelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=12588name=lemmaelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=12880name=lemmaelapsed=0.044 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=17446name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=21793name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Extended_Nat.thyoffset=1275name=old_rep_datatypeelapsed=0.405 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=22549name=lemmaelapsed=0.016 ### No equation for constructor "Extended_Nat.infinity_class.infinity" ### in definition of function "the_enat" command_timing = :file=~~/src/HOL/Library/Extended_Nat.thyoffset=2006name=primrecelapsed=0.013 instantiation enat :: zero_neq_one one_enat == one_class.one :: enat zero_enat == zero_class.zero :: enat command_timing = :file=~~/src/HOL/Library/Extended_Nat.thyoffset=2154name=definitionelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Extended_Nat.thyoffset=2181name=definitionelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Extended_Nat.thyoffset=2274name=definitionelapsed=0.012 ML_statistics = :now=1466031500.72tasks_ready=2218tasks_pending=32tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=6size_allocation=3763339264size_allocation_free=1522552456size_heap=4143972352size_heap_free_last_full_GC=0size_heap_free_last_GC=3765080168threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=44.496time_GC=2.864user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 instantiation enat :: comm_monoid_add plus_enat == plus :: enat \ enat \ enat command_timing = :file=~~/src/HOL/Library/Extended_Nat.thyoffset=3944name=definitionelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=35145name=lemmaelapsed=0.010 instantiation enat :: {comm_semiring_1,semiring_no_zero_divisors} times_enat == times :: enat \ enat \ enat command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=36519name=lemmaelapsed=0.010 ### ML warning (line 304 of "~~/src/HOL/Library/Sum_of_Squares/sum_of_squares.ML"): ### Pattern is not exhaustive. ### ML warning (line 305 of "~~/src/HOL/Library/Sum_of_Squares/sum_of_squares.ML"): ### Pattern is not exhaustive. signature SUM_OF_SQUARES = sig exception Failure of string val debug: bool Config.T val debug_message: Proof.context -> (unit -> string) -> unit datatype proof_method = Certificate of RealArith.pss_tree | Prover of string -> string val sos_tac: (RealArith.pss_tree -> unit) -> proof_method -> Proof.context -> int -> tactic val trace: bool Config.T val trace_message: Proof.context -> (unit -> string) -> unit end structure Sum_of_Squares: SUM_OF_SQUARES command_timing = :file=~~/src/HOL/Library/Sum_of_Squares.thyoffset=382name=ML_fileelapsed=0.561 command_timing = :file=~~/src/HOL/Library/Extended_Nat.thyoffset=4979name=definitionelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=3058name=byelapsed=0.946 instantiation enat :: minus minus_enat == minus :: enat \ enat \ enat command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=3474name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Extended_Nat.thyoffset=7568name=definitionelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=3783name=showelapsed=0.018 instantiation enat :: linordered_ab_semigroup_add less_eq_enat == less_eq :: enat \ enat \ bool less_enat == less :: enat \ enat \ bool command_timing = :file=~~/src/HOL/Library/Extended_Nat.thyoffset=8768name=definitionelapsed=0.019 signature POSITIVSTELLENSATZ_TOOLS = sig val print_cert: RealArith.pss_tree -> string val read_cert: Proof.context -> string -> RealArith.pss_tree end structure Positivstellensatz_Tools: POSITIVSTELLENSATZ_TOOLS command_timing = :file=~~/src/HOL/Library/Sum_of_Squares.thyoffset=425name=ML_fileelapsed=0.137 command_timing = :file=~~/src/HOL/Library/Extended_Nat.thyoffset=8887name=definitionelapsed=0.019 signature SOS_WRAPPER = sig val sos_tac: Proof.context -> string option -> int -> tactic end structure SOS_Wrapper: SOS_WRAPPER command_timing = :file=~~/src/HOL/Library/Sum_of_Squares.thyoffset=478name=ML_fileelapsed=0.018 ### theory "Sum_of_Squares" ### 4.314s elapsed time, 14.848s cpu time, 0.764s GC time Loading theory "Norm_Arith" (required by "Multivariate_Analysis" via "Fashoda" via "Brouwer_Fixpoint" via "Path_Connected" via "Extension" via "Convex_Euclidean_Space" via "Topology_Euclidean_Space") loading_theory = Norm_Arith command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=4320name=byelapsed=0.102 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=4632name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=4714name=showelapsed=0.019 instantiation enat :: {order_bot,order_top} top_enat == top :: enat bot_enat == bot :: enat command_timing = :file=~~/src/HOL/Library/Extended_Nat.thyoffset=13788name=definitionelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=5279name=byelapsed=0.301 class real_inner = real_normed_vector + fixes inner :: "'a \ 'a \ real" assumes "inner_commute": "\x y. x \ y = y \ x" and "inner_add_left": "\x y z. (x + y) \ z = x \ z + y \ z" and "inner_scaleR_left": "\r x y. r *\<^sub>R x \ y = r * (x \ y)" and "inner_ge_zero": "\x. 0 \ x \ x" and "inner_eq_zero_iff": "\x. (x \ x = 0) = (x = (0::'a))" and "norm_eq_sqrt_inner": "\x. norm x = sqrt (x \ x)" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=47396name=contextelapsed=0.376 command_timing = :file=~~/src/HOL/Library/Extended_Nat.thyoffset=13837name=definitionelapsed=0.290 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Norm_Arith.thyoffset=179name=theoryelapsed=0.421 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=47422name=definitionelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=5618name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=5724name=haveelapsed=0.018 structure Cancel_Enat_Common: sig val dest_sum: term -> term list val dest_summing: term * term list -> term list val find_first: term -> term list -> term list val find_first_t: term list -> term -> term list -> term list val mk_eq: term * term -> term val mk_sum: typ -> term list -> term val norm_ss: simpset val norm_tac: Proof.context -> tactic val simplify_meta_eq: Proof.context -> thm -> thm -> thm val trans_tac: Proof.context -> thm option -> tactic end structure Eq_Enat_Cancel: sig val proc: Proof.context -> term -> thm option end structure Le_Enat_Cancel: sig val proc: Proof.context -> term -> thm option end structure Less_Enat_Cancel: sig val proc: Proof.context -> term -> thm option end command_timing = :file=~~/src/HOL/Library/Extended_Nat.thyoffset=14720name=MLelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Norm_Arith.thyoffset=1733name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=6015name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=47544name=lemmaelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Norm_Arith.thyoffset=2112name=lemmaelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=6086name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=47544name=lemmaelapsed=0.017 instantiation enat :: complete_lattice Inf_enat == Inf :: enat set \ enat Sup_enat == Sup :: enat set \ enat sup_enat == sup :: enat \ enat \ enat inf_enat == inf :: enat \ enat \ enat ML_statistics = :now=1466031501.49tasks_ready=2348tasks_pending=31tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=7size_allocation=3719299072size_allocation_free=3719299072size_heap=4153409536size_heap_free_last_full_GC=0size_heap_free_last_GC=3719960952threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=46.88time_GC=3.136user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Norm_Arith.thyoffset=2487name=lemmaelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=6144name=ultimatelyelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Extended_Nat.thyoffset=18006name=definitionelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Extended_Nat.thyoffset=18076name=definitionelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=6155name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Extended_Nat.thyoffset=18146name=definitionelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=49639name=definitionelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Extended_Nat.thyoffset=18252name=definitionelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=6467name=showelapsed=0.018 ### theory "Extended_Nat" ### 1.664s elapsed time, 5.812s cpu time, 0.272s GC time Loading theory "Extended_Real" (required by "Multivariate_Analysis" via "Fashoda" via "Cartesian_Euclidean_Space" via "Integration" via "Derivative" via "Uniform_Limit" via "Summation") loading_theory = Extended_Real command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=6508name=thuselapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=50348name=lemmaelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=51680name=definitionelapsed=0.011 ### ML warning (line 103 of "~~/src/HOL/Multivariate_Analysis/normarith.ML"): ### Matches are not exhaustive. ### ML warning (line 347 of "~~/src/HOL/Multivariate_Analysis/normarith.ML"): ### Value identifier (instantiate_cterm') has not been referenced. signature NORM_ARITH = sig val norm_arith: Proof.context -> conv val norm_arith_tac: Proof.context -> int -> tactic end structure NormArith: NORM_ARITH command_timing = :file=~~/src/HOL/Multivariate_Analysis/Norm_Arith.thyoffset=3457name=ML_fileelapsed=0.221 ### theory "Norm_Arith" ### 0.784s elapsed time, 2.304s cpu time, 0.272s GC time command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=6793name=byelapsed=0.160 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=2147name=applyelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=6898name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=2799name=haveelapsed=0.017 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=2864name=obtainelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=8292name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=65635name=definitionelapsed=0.012 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=2864name=obtainelapsed=0.015 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=3738name=haveelapsed=0.017 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=2931name=obtainelapsed=0.017 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=3793name=haveelapsed=0.016 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=2931name=obtainelapsed=0.015 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=3856name=finallyelapsed=0.016 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=3047name=haveelapsed=0.016 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=3864name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=3220name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=3260name=qedelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=8660name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=4185name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=4281name=byelapsed=0.011 ML_statistics = :now=1466031501.99tasks_ready=2391tasks_pending=30tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=7size_allocation=3719299072size_allocation_free=2625165840size_heap=4153409536size_heap_free_last_full_GC=0size_heap_free_last_GC=3719960952threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=48.484time_GC=3.136user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=9629name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=81722name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=4388name=applyelapsed=0.096 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=4435name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=9999name=haveelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=315name=theoryelapsed=0.449 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=10052name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=89465name=definitionelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=10135name=fixelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=10191name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=9781name=byelapsed=0.161 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=10191name=obtainelapsed=0.016 instantiation enat :: linorder_topology open_enat == open :: enat set \ bool command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=4898name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=10337name=showelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=4358name=definitionelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=10617name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=10700name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=11012name=obtainelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=92572name=lemmaelapsed=0.054 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=11816name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=11012name=obtainelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=11136name=haveelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=11219name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=96781name=definitionelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=11329name=haveelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=1420name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=11395name=obtainelapsed=0.017 ### theory "Linear_Algebra" ### 4.132s elapsed time, 14.584s cpu time, 0.612s GC time Loading theory "Topology_Euclidean_Space" (required by "Multivariate_Analysis" via "Fashoda" via "Brouwer_Fixpoint" via "Path_Connected" via "Extension" via "Convex_Euclidean_Space") loading_theory = Topology_Euclidean_Space command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=1688name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=11395name=obtainelapsed=0.018 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=6160name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=6307name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=11437name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=11565name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=11648name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Nat_Bijection.thyoffset=640name=byelapsed=0.060 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=6681name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=6808name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=8243name=applyelapsed=0.011 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=7358name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=7418name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=7710name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=7490name=ultimatelyelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=9056name=showelapsed=0.015 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=7501name=showelapsed=0.015 ML_statistics = :now=1466031502.49tasks_ready=2486tasks_pending=28tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=7size_allocation=3719299072size_allocation_free=1826394880size_heap=4153409536size_heap_free_last_full_GC=0size_heap_free_last_GC=3719960952threads_in_ML=4threads_total=11threads_wait_condvar=4threads_wait_IO=0threads_wait_mutex=2threads_wait_signal=1time_CPU=50.084time_GC=3.136user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=7916name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=9102name=haveelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=9437name=haveelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=9197name=finallyelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=9205name=showelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=9529name=showelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=9681name=showelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=10127name=showelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=11019name=haveelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=11086name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=11191name=ultimatelyelapsed=0.016 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=8670name=byelapsed=0.051 command_timing = :file=~~/src/HOL/Library/Infinite_Set.thyoffset=11202name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=2471name=byelapsed=0.053 command_timing = :file=~~/src/HOL/Library/Nat_Bijection.thyoffset=1283name=applyelapsed=0.025 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=10351name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=4978name=haveelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=4841name=showelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=5014name=obtainelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Nat_Bijection.thyoffset=3261name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=5014name=obtainelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Nat_Bijection.thyoffset=3352name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=5093name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=11576name=showelapsed=0.016 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=12059name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=12288name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=6441name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=12418name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=6551name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=6691name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=6760name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=7030name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=6804name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=7094name=finallyelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=6804name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=7102name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=6898name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=7201name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=12581name=haveelapsed=0.029 ML_statistics = :now=1466031503tasks_ready=2462tasks_pending=28tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=7size_allocation=3719299072size_allocation_free=458365136size_heap=4153409536size_heap_free_last_full_GC=0size_heap_free_last_GC=3719960952threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=53.236time_GC=3.136user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Nat_Bijection.thyoffset=4546name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=12754name=fixelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Nat_Bijection.thyoffset=4692name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=13355name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=12809name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=7911name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=12969name=ultimatelyelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=8011name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=7619name=datatypeelapsed=0.871 instantiation ereal :: uminus uminus_ereal == uminus :: ereal \ ereal command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=12980name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=8121name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=8235name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=8375name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=13888name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=8430name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=8700name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=9102name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=14110name=haveelapsed=0.026 Found termination order: "{}" command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=7758name=funelapsed=0.119 instantiation ereal :: infinity infinity_ereal == infinity :: ereal command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=14222name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=14749name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=7913name=definitionelapsed=0.018 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=14222name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=8109name=lemmaelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=9532name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=14329name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=14400name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=15147name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=14452name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=15299name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=10175name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=15416name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=9447name=functionelapsed=0.079 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=10758name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=9447name=functionelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=10809name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=9756name=lemmaelapsed=0.583 instantiation ereal :: abs abs_ereal == abs :: ereal \ ereal command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=10855name=showelapsed=0.598 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=11003name=byelapsed=0.632 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=15981name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=10127name=functionelapsed=0.076 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=11284name=obtainelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=10127name=functionelapsed=0.017 ML_statistics = :now=1466031504.07tasks_ready=2493tasks_pending=28tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=8size_allocation=3689938944size_allocation_free=3689938944size_heap=4108320768size_heap_free_last_full_GC=0size_heap_free_last_GC=3690442504threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=54.82time_GC=3.704user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=11284name=obtainelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=11360name=haveelapsed=0.019 instantiation ereal :: {comm_monoid_add,zero_neq_one} one_ereal == one_class.one :: ereal zero_ereal == zero_class.zero :: ereal plus_ereal == plus :: ereal \ ereal \ ereal command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=10863name=definitionelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=11420name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=10888name=definitionelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=11500name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=10914name=functionelapsed=0.106 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=15727name=applyelapsed=0.256 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=16483name=applyelapsed=0.108 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=10914name=functionelapsed=0.037 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=15768name=applyelapsed=0.046 instantiation ereal :: linorder less_eq_ereal == less_eq :: ereal \ ereal \ bool less_ereal == less :: ereal \ ereal \ bool command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=16515name=applyelapsed=0.108 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=13614name=functionelapsed=0.104 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=13614name=functionelapsed=0.057 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=14027name=terminationelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=14064name=definitionelapsed=0.017 ML_statistics = :now=1466031504.58tasks_ready=2557tasks_pending=28tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=8size_allocation=3689938944size_allocation_free=2844045504size_heap=4108320768size_heap_free_last_full_GC=0size_heap_free_last_GC=3690442504threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=56.396time_GC=3.704user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=16637name=applyelapsed=0.274 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=271name=theoryelapsed=2.270 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=588name=definitionelapsed=0.014 instantiation ereal :: {comm_monoid_mult,sgn} sgn_ereal == sgn :: ereal \ ereal times_ereal == times :: ereal \ ereal \ ereal command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=17110name=applyelapsed=0.515 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=17141name=applyelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=23792name=functionelapsed=0.081 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=17170name=applyelapsed=0.048 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=23792name=functionelapsed=0.018 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=17347name=byelapsed=0.013 ### Rule already declared as introduction (intro) ### (\x. ?f x = ?g x) \ ?f = ?g command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=17649name=haveelapsed=0.022 Found termination order: "{}" command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=17744name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=656name=funelapsed=0.180 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=17767name=fixelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=889name=definitionelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=1028name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=17797name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=1245name=lemmaelapsed=0.019 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=18011name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=16718name=applyelapsed=0.380 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=18062name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=2253name=definitionelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=23988name=functionelapsed=0.153 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=2313name=definitionelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=2392name=definitionelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=12424name=byelapsed=0.032 ML_statistics = :now=1466031505.08tasks_ready=2657tasks_pending=28tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=8size_allocation=3701592064size_allocation_free=1891901856size_heap=4108439552size_heap_free_last_full_GC=0size_heap_free_last_GC=3690442504threads_in_ML=4threads_total=11threads_wait_condvar=4threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=57.984time_GC=3.704user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=23988name=functionelapsed=0.066 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=24591name=terminationelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Nat_Bijection.thyoffset=7736name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=2834name=lemmaelapsed=0.056 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=16814name=applyelapsed=0.126 command_timing = :file=~~/src/HOL/Library/Nat_Bijection.thyoffset=7822name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=3597name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/FuncSet.thyoffset=16882name=applyelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Nat_Bijection.thyoffset=7894name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Nat_Bijection.thyoffset=8439name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Nat_Bijection.thyoffset=8622name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=5030name=definitionelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Nat_Bijection.thyoffset=8680name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=5368name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Nat_Bijection.thyoffset=9165name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=6274name=lemmaelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Nat_Bijection.thyoffset=9510name=showelapsed=0.019 class topological_space = open + assumes "open_UNIV": "open UNIV" assumes "open_Int": "\S T. \open S; open T\ \ open (S \ T)" assumes "open_Union": "\K. Ball K open \ open (\K)" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=6544name=contextelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Nat_Bijection.thyoffset=9685name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=6577name=definitionelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=4702name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Nat_Bijection.thyoffset=11331name=thuselapsed=0.018 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=14524name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=5863name=applyelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=8972name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=14574name=haveelapsed=0.019 instantiation ereal :: minus minus_ereal == minus :: ereal \ ereal \ ereal command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=14821name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=14642name=finallyelapsed=0.018 locale countable_basis = fixes B :: "'a set set" assumes "countable_basis B" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=10512name=localeelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=35348name=definitionelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=6209name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=14650name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=15063name=applyelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=11482name=lemmaelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=11791name=lemmaelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=7624name=applyelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=13276name=lemmaelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=7815name=applyelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=7959name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=16844name=showelapsed=0.022 instantiation ereal :: inverse inverse_ereal == inverse :: ereal \ ereal divide_ereal == divide :: ereal \ ereal \ ereal command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=8630name=byelapsed=0.027 ML_statistics = :now=1466031505.58tasks_ready=2696tasks_pending=28tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=8size_allocation=3701592064size_allocation_free=68815896size_heap=4108439552size_heap_free_last_full_GC=0size_heap_free_last_GC=3690442504threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=61.18time_GC=3.704user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 class second_countable_topology = topological_space + assumes "ex_countable_subbasis": "\B. countable B \ open = generate_topology B" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=15218name=classelapsed=0.416 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=40024name=functionelapsed=0.398 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=17140name=sublocaleelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=40024name=functionelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=17153name=byelapsed=0.404 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=40241name=definitionelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=9270name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=17525name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=17843name=instanceelapsed=0.084 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=17795name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=17881name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=17974name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=9447name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=18139name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=18455name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=15532name=applyelapsed=0.756 command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=9613name=byelapsed=0.012 instantiation ereal :: lattice inf_ereal == inf :: ereal \ ereal \ ereal sup_ereal == sup :: ereal \ ereal \ ereal command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=46052name=definitionelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=19004name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=15618name=applyelapsed=0.050 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=46102name=definitionelapsed=0.019 instantiation ereal :: complete_lattice Inf_ereal == Inf :: ereal set \ ereal Sup_ereal == Sup :: ereal set \ ereal bot_ereal == bot :: ereal top_ereal == top :: ereal command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=46235name=definitionelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=19247name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=19436name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=46266name=definitionelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=19501name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=46297name=definitionelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=19976name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=46381name=definitionelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=20436name=byelapsed=0.012 instantiation ereal :: linear_continuum_topology open_ereal == open :: ereal set \ bool command_timing = :file=~~/src/HOL/Library/Product_plus.thyoffset=2776name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=48882name=definitionelapsed=0.020 ML_statistics = :now=1466031506.36tasks_ready=2703tasks_pending=28tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=9size_allocation=3560034304size_allocation_free=2892351432size_heap=4142108672size_heap_free_last_full_GC=0size_heap_free_last_GC=3561017888threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=62.908time_GC=4.004user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Product_plus.thyoffset=2833name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Product_plus.thyoffset=2959name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=17843name=instanceelapsed=0.343 command_timing = :file=~~/src/HOL/Library/Product_plus.thyoffset=3016name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=20835name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Product_plus.thyoffset=3151name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=10678name=applyelapsed=0.150 command_timing = :file=~~/src/HOL/Library/Product_plus.thyoffset=3229name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=11442name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=11541name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=21254name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=21141name=byelapsed=0.047 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=18523name=classelapsed=0.214 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=21731name=byelapsed=0.076 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=18642name=definitionelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=21964name=byelapsed=0.080 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=18736name=typedefelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=65226name=definitionelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=22312name=byelapsed=0.058 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=18736name=typedefelapsed=0.054 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=22410name=byelapsed=0.058 command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=12731name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=12974name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=19652name=definitionelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=13112name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=13211name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=23531name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Old_Datatype.thyoffset=13434name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=20934name=definitionelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=24378name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=24166name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=24166name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=24460name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=24206name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=24460name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=25147name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=24541name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=22893name=definitionelapsed=0.016 ML_statistics = :now=1466031506.86tasks_ready=2765tasks_pending=28tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=9size_allocation=3560034304size_allocation_free=1934936960size_heap=4142108672size_heap_free_last_full_GC=0size_heap_free_last_GC=3561017888threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=64.5time_GC=4.004user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=24572name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=26155name=byelapsed=0.038 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=26368name=applyelapsed=0.036 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=26951name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=27269name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=27567name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=27269name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=27567name=obtainelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=27607name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=27347name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=27391name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Product_Order.thyoffset=890name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Product_Order.thyoffset=1096name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Product_Order.thyoffset=975name=thuselapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=29804name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=27866name=byelapsed=0.034 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=28175name=thuselapsed=0.022 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=28566name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=86814name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=28644name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=28229name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=28229name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=28931name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=32830name=definitionelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=28359name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=32924name=definitionelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=28993name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=33020name=definitionelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Product_Order.thyoffset=1647name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=28993name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=29077name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=30304name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=29122name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Product_Order.thyoffset=2158name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=29172name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=29217name=haveelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=31032name=interpretelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=31128name=interpretelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=29289name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=31128name=interpretelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=29289name=obtainelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=29372name=haveelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=31240name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=101165name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=32257name=showelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=29453name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=102284name=lemmaelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=29501name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=103376name=lemmaelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=32549name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=32900name=interpretelapsed=0.018 ML_statistics = :now=1466031507.36tasks_ready=2897tasks_pending=28tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=9size_allocation=3560034304size_allocation_free=1091990336size_heap=4142108672size_heap_free_last_full_GC=0size_heap_free_last_GC=3561017888threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=66.1time_GC=4.004user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=32592name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=32954name=showelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=32670name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=38119name=definitionelapsed=0.089 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=38230name=definitionelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=33920name=interpretelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=34157name=interpretelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=38289name=definitionelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=34011name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=34248name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=38359name=lemmaelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Product_Order.thyoffset=4010name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=34853name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=112754name=lemmaelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=35113name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=113215name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=35177name=finallyelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=41679name=lemmaelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=35185name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=44563name=lemmaelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=35307name=byelapsed=0.409 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=119732name=lemmaelapsed=0.354 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=45182name=lemmaelapsed=0.383 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=120274name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=36260name=byelapsed=0.012 ### Introduced fixed type variable(s): 'd, 'e, 'f in "f__" or "g__" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=48761name=lemmaelapsed=0.034 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=36513name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=50667name=definitionelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Product_Order.thyoffset=3779name=byelapsed=0.629 command_timing = :file=~~/src/HOL/Library/Product_Order.thyoffset=5790name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=51259name=lemmaelapsed=0.012 ### theory "Extended_Real" ### 6.446s elapsed time, 21.940s cpu time, 1.208s GC time Loading theory "Extended_Nonnegative_Real" (required by "Multivariate_Analysis" via "Extended_Real_Limits") loading_theory = Extended_Nonnegative_Real command_timing = :file=~~/src/HOL/Library/Product_Order.thyoffset=5910name=showelapsed=0.023 Loading theory "Summation" (required by "Multivariate_Analysis" via "Fashoda" via "Cartesian_Euclidean_Space" via "Integration" via "Derivative" via "Uniform_Limit") loading_theory = Summation command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=53223name=lemmaelapsed=0.010 ML_statistics = :now=1466031508.17tasks_ready=2979tasks_pending=26tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=10size_allocation=3557818368size_allocation_free=3557818368size_heap=4148400128size_heap_free_last_full_GC=0size_heap_free_last_GC=3559492224threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=68.152time_GC=4.344user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=54994name=definitionelapsed=0.036 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=36997name=byelapsed=0.175 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=59221name=definitionelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=37332name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=153name=theoryelapsed=0.172 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=37940name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=528name=definitionelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=38357name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=38400name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=64476name=definitionelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=38875name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=38941name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=39072name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=39508name=byelapsed=0.027 Found termination order: "(\p. size (fst p)) <*mlex*> {}" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=3446name=funelapsed=0.123 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=39653name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=39696name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=70239name=definitionelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=8482name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=155name=theoryelapsed=0.415 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=39798name=byelapsed=0.054 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=40114name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=17625name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=40388name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=20707name=lemmaelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=3379name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=40438name=haveelapsed=0.023 ML_statistics = :now=1466031508.67tasks_ready=3115tasks_pending=26tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=10size_allocation=3557818368size_allocation_free=2605887088size_heap=4148400128size_heap_free_last_full_GC=0size_heap_free_last_GC=3559492224threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=69.756time_GC=4.344user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=40506name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=25087name=definitionelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=40631name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=78150name=definitionelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=40663name=ultimatelyelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=40674name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=40791name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=40875name=ultimatelyelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=32374name=lemmaelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=40886name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=32740name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=84489name=definitionelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=41685name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=85954name=definitionelapsed=0.020 ### theory "Summation" ### 0.819s elapsed time, 3.276s cpu time, 0.000s GC time command_timing = :file=~~/src/HOL/Library/Set_Algebras.thyoffset=1345name=byelapsed=0.092 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=6390name=contextelapsed=0.289 command_timing = :file=~~/src/HOL/Library/Set_Algebras.thyoffset=1453name=byelapsed=0.076 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=90070name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=42063name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Set_Algebras.thyoffset=1737name=byelapsed=0.090 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=7605name=lemmaelapsed=0.085 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=92536name=lemmaelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=42299name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Set_Algebras.thyoffset=1849name=byelapsed=0.076 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=42450name=haveelapsed=0.024 ML_statistics = :now=1466031509.17tasks_ready=3219tasks_pending=26tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=10size_allocation=3557818368size_allocation_free=656692632size_heap=4148400128size_heap_free_last_full_GC=0size_heap_free_last_GC=3559492224threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=72.956time_GC=4.344user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=42972name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=42559name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=43109name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=42770name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=7757name=lemmaelapsed=0.080 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=43141name=finallyelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=42812name=finallyelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=43149name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=42820name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=8468name=typedefelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=8468name=typedefelapsed=0.052 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=8552name=definitionelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Set_Algebras.thyoffset=2953name=applyelapsed=0.064 command_timing = :file=~~/src/HOL/Library/Set_Algebras.thyoffset=2526name=applyelapsed=0.099 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=107110name=definitionelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=8993name=setup_liftingelapsed=0.059 instantiation ennreal :: complete_linorder Inf_ennreal == Inf :: ennreal set \ ennreal Sup_ennreal == Sup :: ennreal set \ ennreal bot_ennreal == bot :: ennreal sup_ennreal == sup :: ennreal \ ennreal \ ennreal top_ennreal == top :: ennreal inf_ennreal == inf :: ennreal \ ennreal \ ennreal less_eq_ennreal == less_eq :: ennreal \ ennreal \ bool less_ennreal == less :: ennreal \ ennreal \ bool command_timing = :file=~~/src/HOL/Library/Set_Algebras.thyoffset=2631name=applyelapsed=0.050 command_timing = :file=~~/src/HOL/Library/Set_Algebras.thyoffset=3314name=applyelapsed=0.062 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=9115name=lift_definitionelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=9184name=lift_definitionelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Set_Algebras.thyoffset=2704name=applyelapsed=0.044 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=9249name=lift_definitionelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=116485name=lemmaelapsed=0.423 command_timing = :file=~~/src/HOL/Library/Set_Algebras.thyoffset=5234name=applyelapsed=0.436 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=355name=showelapsed=0.451 command_timing = :file=~~/src/HOL/Library/Set_Algebras.thyoffset=5285name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=9336name=lift_definitionelapsed=0.443 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=9423name=lift_definitionelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=944name=thuselapsed=0.021 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=1752name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=9513name=lift_definitionelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=2078name=thuselapsed=0.021 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=9596name=lift_definitionelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=122902name=definitionelapsed=0.041 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=9670name=lift_definitionelapsed=0.025 instantiation ennreal :: infinity infinity_ennreal == infinity :: ennreal command_timing = :file=~~/src/HOL/Library/Set_Algebras.thyoffset=5991name=applyelapsed=0.089 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=10174name=definitionelapsed=0.016 instantiation ennreal :: {comm_semiring_1,semiring_1_no_zero_divisors} zero_ennreal == zero_class.zero :: ennreal plus_ennreal == plus :: ennreal \ ennreal \ ennreal one_ennreal == one_class.one :: ennreal times_ennreal == times :: ennreal \ ennreal \ ennreal command_timing = :file=~~/src/HOL/Library/Set_Algebras.thyoffset=6422name=applyelapsed=0.066 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=10350name=lift_definitionelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Set_Algebras.thyoffset=6090name=applyelapsed=0.043 ML_statistics = :now=1466031510.08tasks_ready=3289tasks_pending=26tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=11size_allocation=3509583872size_allocation_free=3509583872size_heap=4140011520size_heap_free_last_full_GC=0size_heap_free_last_GC=3510633304threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=74.132time_GC=4.752user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=10402name=lift_definitionelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Set_Algebras.thyoffset=6163name=applyelapsed=0.036 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=10455name=lift_definitionelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Set_Algebras.thyoffset=6789name=applyelapsed=0.064 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=2760name=henceelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=10535name=lift_definitionelapsed=0.026 instantiation ennreal :: minus minus_ennreal == minus :: ennreal \ ennreal \ ennreal command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=2915name=obtainelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=43655name=interpretelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=2915name=obtainelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=3043name=obtainelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=43725name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=10740name=lift_definitionelapsed=0.029 instantiation ennreal :: inverse inverse_ennreal == inverse :: ennreal \ ennreal divide_ennreal == divide :: ennreal \ ennreal \ ennreal command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=3043name=obtainelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=5520name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=3135name=haveelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=10929name=lift_definitionelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=3228name=haveelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=5608name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=11027name=definitionelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=3321name=letelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=5654name=finallyelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=3403name=haveelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=5662name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=3662name=haveelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=4528name=henceelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=4606name=haveelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=43925name=interpretelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=4681name=ultimatelyelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=43995name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=4692name=haveelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=4809name=obtainelapsed=0.017 structure Cancel_Ennreal_Common: sig val dest_sum: term -> term list val dest_summing: term * term list -> term list val find_first: term -> term list -> term list val find_first_t: term list -> term -> term list -> term list val mk_eq: term * term -> term val mk_sum: typ -> term list -> term val norm_ss: simpset val norm_tac: Proof.context -> tactic val simplify_meta_eq: Proof.context -> thm -> thm -> thm val trans_tac: Proof.context -> thm option -> tactic end structure Eq_Ennreal_Cancel: sig val proc: Proof.context -> term -> thm option end structure Le_Ennreal_Cancel: sig val proc: Proof.context -> term -> thm option end structure Less_Ennreal_Cancel: sig val proc: Proof.context -> term -> thm option end command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=15224name=MLelapsed=0.031 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=4809name=obtainelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=146641name=definitionelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=4881name=haveelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=5104name=haveelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=147301name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=5154name=ultimatelyelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Set_Algebras.thyoffset=8420name=byelapsed=0.088 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=5165name=showelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=149254name=definitionelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=44508name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Set_Algebras.thyoffset=8828name=applyelapsed=0.053 command_timing = :file=~~/src/HOL/Library/Set_Algebras.thyoffset=8578name=applyelapsed=0.093 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=44844name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Set_Algebras.thyoffset=9332name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Set_Algebras.thyoffset=9450name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=44981name=byelapsed=0.024 ML_statistics = :now=1466031510.59tasks_ready=3419tasks_pending=26tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=11size_allocation=3509583872size_allocation_free=2682875784size_heap=4140011520size_heap_free_last_full_GC=0size_heap_free_last_GC=3510633304threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=75.692time_GC=4.752user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Set_Algebras.thyoffset=9854name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=45203name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Library/Set_Algebras.thyoffset=9900name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=45438name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Set_Algebras.thyoffset=9984name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=45591name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Set_Algebras.thyoffset=10347name=finallyelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Set_Algebras.thyoffset=10355name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=45650name=finallyelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=45658name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Set_Algebras.thyoffset=10758name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=29543name=lift_definitionelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Set_Algebras.thyoffset=11052name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Set_Algebras.thyoffset=11440name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Set_Algebras.thyoffset=11337name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=46672name=byelapsed=0.024 class heine_borel = metric_space + assumes "bounded_imp_convergent_subsequence": "\f. bounded (range f) \ \l r. subseq r \ (f \ r) \ l" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=162855name=classelapsed=0.199 command_timing = :file=~~/src/HOL/Library/Set_Algebras.thyoffset=11576name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=46965name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=7044name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=47202name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=47498name=interpretelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=47675name=interpretelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=47579name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=165343name=lemmaelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=167868name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=48147name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=47758name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=8003name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=8360name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=168269name=instanceelapsed=0.062 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=48508name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/L2_Norm.thyoffset=2314name=thuselapsed=0.023 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=48724name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=39442name=definitionelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/L2_Norm.thyoffset=2354name=thuselapsed=0.023 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=48894name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/L2_Norm.thyoffset=3231name=applyelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=48940name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/L2_Norm.thyoffset=3450name=applyelapsed=0.010 instantiation ennreal :: linear_continuum_topology open_ennreal == open :: ennreal set \ bool command_timing = :file=~~/src/HOL/Multivariate_Analysis/L2_Norm.thyoffset=3626name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=42617name=definitionelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/L2_Norm.thyoffset=3699name=applyelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/L2_Norm.thyoffset=3894name=haveelapsed=0.026 ML_statistics = :now=1466031511.09tasks_ready=3513tasks_pending=26tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=11size_allocation=3509583872size_allocation_free=1071128016size_heap=4140011520size_heap_free_last_full_GC=0size_heap_free_last_GC=3510633304threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=78.892time_GC=4.752user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/L2_Norm.thyoffset=4300name=applyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/L2_Norm.thyoffset=4009name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/L2_Norm.thyoffset=4080name=finallyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/L2_Norm.thyoffset=4421name=applyelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/L2_Norm.thyoffset=4455name=applyelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/L2_Norm.thyoffset=4088name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/L2_Norm.thyoffset=4486name=applyelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=49874name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/L2_Norm.thyoffset=4525name=applyelapsed=0.043 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=49973name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=50135name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=51453name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=168269name=instanceelapsed=0.316 command_timing = :file=~~/src/HOL/Multivariate_Analysis/L2_Norm.thyoffset=4640name=applyelapsed=0.038 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=10932name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=170980name=lemmaelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=50724name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=10611name=byelapsed=0.042 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=11322name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=171135name=lemmaelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=11812name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=12593name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=51384name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=51430name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=51430name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=13915name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=51471name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=14178name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=177969name=instanceelapsed=0.064 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=14441name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=15492name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=51740name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=51740name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Indicator_Function.thyoffset=1869name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=51824name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Indicator_Function.thyoffset=2026name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Indicator_Function.thyoffset=2257name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Indicator_Function.thyoffset=2423name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Indicator_Function.thyoffset=2573name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Indicator_Function.thyoffset=2686name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Indicator_Function.thyoffset=3104name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=16579name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Indicator_Function.thyoffset=3362name=byelapsed=0.010 ML_statistics = :now=1466031511.59tasks_ready=3554tasks_pending=26tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=11size_allocation=3509583872size_allocation_free=311234184size_heap=4140011520size_heap_free_last_full_GC=0size_heap_free_last_GC=3510633304threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=80.492time_GC=4.752user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Indicator_Function.thyoffset=3517name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Indicator_Function.thyoffset=3799name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Indicator_Function.thyoffset=4421name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Indicator_Function.thyoffset=3799name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Indicator_Function.thyoffset=4470name=finallyelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Indicator_Function.thyoffset=3843name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=71113name=lemmaelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Indicator_Function.thyoffset=4478name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Countable.thyoffset=571name=proofelapsed=0.363 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=72104name=lemmaelapsed=0.370 command_timing = :file=~~/src/HOL/Library/Indicator_Function.thyoffset=4034name=showelapsed=0.383 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=72375name=lemmaelapsed=0.010 ### theory "Extended_Nonnegative_Real" ### 3.923s elapsed time, 13.288s cpu time, 0.764s GC time command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=17419name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Library/Indicator_Function.thyoffset=4690name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=177969name=instanceelapsed=0.671 command_timing = :file=~~/src/HOL/Library/Indicator_Function.thyoffset=5313name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Indicator_Function.thyoffset=4690name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=18144name=ultimatelyelapsed=0.033 command_timing = :file=~~/src/HOL/Library/Indicator_Function.thyoffset=5362name=finallyelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Indicator_Function.thyoffset=4734name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=18155name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Indicator_Function.thyoffset=5370name=showelapsed=0.023 ### Ignoring duplicate rewrite rule: ### {#?a1#} \# ?M1 \ ?a1 \# ?M1 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=18212name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Indicator_Function.thyoffset=4925name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=178564name=instanceelapsed=0.062 command_timing = :file=~~/src/HOL/Library/Indicator_Function.thyoffset=5523name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=18284name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=18907name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Indicator_Function.thyoffset=5976name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Indicator_Function.thyoffset=6199name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=19167name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Indicator_Function.thyoffset=6199name=obtainelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Countable.thyoffset=1538name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Indicator_Function.thyoffset=6243name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Countable.thyoffset=1538name=obtainelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Indicator_Function.thyoffset=6377name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Countable.thyoffset=1617name=haveelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Indicator_Function.thyoffset=6483name=finallyelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Countable.thyoffset=1665name=haveelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Indicator_Function.thyoffset=6491name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Countable.thyoffset=1718name=showelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=52215name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=52426name=byelapsed=0.010 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= :file=~~/src/HOL/Library/Multiset.thyoffset=53941name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=54363name=showelapsed=0.035 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=53280name=haveelapsed=0.031 ML_statistics = :now=1466031512.44tasks_ready=3584tasks_pending=26tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=12size_allocation=3447717888size_allocation_free=3054289064size_heap=4149448704size_heap_free_last_full_GC=0size_heap_free_last_GC=3448948992threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=82.764time_GC=5.108user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=55780name=showelapsed=0.022 command_timing = 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command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=193983name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=65207name=applyelapsed=0.059 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=66771name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=65266name=applyelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=66968name=fixelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=66999name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=196968name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=67814name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=200022name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=67904name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=65296name=applyelapsed=0.094 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=64267name=applyelapsed=0.130 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=68275name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=65350name=applyelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=68383name=ultimatelyelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=68394name=showelapsed=0.022 ML_statistics = 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:file=~~/src/HOL/Library/Multiset.thyoffset=64551name=applyelapsed=0.150 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=69579name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=65808name=applyelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=64629name=applyelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=69579name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=65936name=applyelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=69720name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=66031name=applyelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=69793name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Countable.thyoffset=3230name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=1611name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Countable.thyoffset=3270name=thuselapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=215710name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Countable.thyoffset=4453name=fixelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Countable.thyoffset=3311name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Countable.thyoffset=4469name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Countable.thyoffset=3311name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Countable.thyoffset=4546name=henceelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Countable.thyoffset=3353name=henceelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=222310name=lemmaelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=64709name=applyelapsed=0.169 command_timing = 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:file=~~/src/HOL/Library/Multiset.thyoffset=70459name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=71952name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=70483name=ultimatelyelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=3272name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=3513name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=70494name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=243715name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=3206name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=3343name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=3555name=applyelapsed=0.056 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=3850name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Countable.thyoffset=7104name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Countable.thyoffset=7642name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Countable.thyoffset=7281name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=3580name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Countable.thyoffset=7720name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Countable.thyoffset=7971name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=253399name=definitionelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Countable.thyoffset=8064name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=3746name=thuselapsed=0.025 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=4966name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=3794name=letelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=4493name=thuselapsed=0.028 command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=3829name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=4597name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=3917name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=72390name=applyelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=3992name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=4093name=finallyelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=73683name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=73844name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=4101name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=4154name=henceelapsed=0.030 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=74082name=byelapsed=0.056 ML_statistics = :now=1466031513.94tasks_ready=3732tasks_pending=26tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=12size_allocation=3447717888size_allocation_free=695070152size_heap=4149448704size_heap_free_last_full_GC=0size_heap_free_last_GC=3448948992threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=87.536time_GC=5.108user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=4232name=thuselapsed=0.032 command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=4967name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=74628name=thuselapsed=0.020 command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=5355name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=74688name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=5459name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=268427name=lemmaelapsed=0.236 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=74688name=obtainelapsed=0.251 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=268952name=lemmaelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=75829name=obtainelapsed=0.264 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=74855name=considerelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=269307name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=74932name=thuselapsed=0.018 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=75829name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=270163name=lemmaelapsed=0.010 ### Ignoring duplicate rewrite rule: ### of_nat (?m1 * ?n1) \ of_nat ?m1 * of_nat ?n1 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=76080name=haveelapsed=0.026 ### Ignoring duplicate rewrite rule: ### of_nat (?m1 * ?n1) \ of_nat ?m1 * of_nat ?n1 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=76490name=thuselapsed=0.025 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=82239name=haveelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=76553name=thuselapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=271806name=instanceelapsed=0.065 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=82501name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=76638name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=82661name=haveelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=76693name=thuselapsed=0.022 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=82865name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=83133name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Countable.thyoffset=9149name=byelapsed=0.050 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=8715name=thuselapsed=0.022 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=8925name=thuselapsed=0.022 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=8279name=byelapsed=0.132 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=83993name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=85109name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=84074name=showelapsed=0.023 ML_statistics = :now=1466031514.65tasks_ready=3728tasks_pending=26tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=13size_allocation=3413114880size_allocation_free=2830773536size_heap=4162031616size_heap_free_last_full_GC=0size_heap_free_last_GC=3414097456threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=90.628time_GC=5.332user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=85253name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=6030name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=271806name=instanceelapsed=0.325 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=9926name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=5716name=byelapsed=0.110 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=85553name=byelapsed=0.040 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=85915name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=272923name=instanceelapsed=0.066 command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=8697name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=6813name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=6892name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=8799name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=7003name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=8911name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=8971name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=7115name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=9039name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=9380name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=10725name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=9490name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=10879name=byelapsed=0.033 command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=9596name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=11144name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=9659name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=11302name=byelapsed=0.035 command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=9786name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=12738name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=12130name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=12851name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=12462name=fixelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=272923name=instanceelapsed=0.322 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=12490name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=12901name=haveelapsed=0.027 ML_statistics = :now=1466031515.15tasks_ready=3720tasks_pending=26tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=13size_allocation=3413114880size_allocation_free=2252790424size_heap=4162031616size_heap_free_last_full_GC=0size_heap_free_last_GC=3414097456threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=92.228time_GC=5.332user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=13002name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=13118name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Countable_Set.thyoffset=1327name=byelapsed=0.082 command_timing = :file=~~/src/HOL/Library/Countable_Set.thyoffset=1939name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=282650name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Countable_Set.thyoffset=2739name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Countable_Set.thyoffset=2033name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Countable_Set.thyoffset=2138name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=13199name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=283343name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=13531name=fixelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Countable_Set.thyoffset=2209name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=13559name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Countable_Set.thyoffset=2327name=ultimatelyelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Countable_Set.thyoffset=3226name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Countable_Set.thyoffset=2338name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=288335name=definitionelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Countable_Set.thyoffset=2439name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Countable_Set.thyoffset=3461name=byelapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=288921name=definitionelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Countable_Set.thyoffset=4262name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Countable_Set.thyoffset=4449name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Countable_Set.thyoffset=5267name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=291104name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Countable_Set.thyoffset=5025name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=291799name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Countable_Set.thyoffset=5557name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Countable_Set.thyoffset=6084name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Countable_Set.thyoffset=5884name=byelapsed=0.042 command_timing = :file=~~/src/HOL/Library/Countable_Set.thyoffset=6436name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=16158name=byelapsed=0.039 command_timing = :file=~~/src/HOL/Library/Countable_Set.thyoffset=6693name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Countable_Set.thyoffset=6827name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=296883name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Countable_Set.thyoffset=7196name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=297441name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Countable_Set.thyoffset=7002name=byelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=298009name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Countable_Set.thyoffset=7286name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=298571name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Countable_Set.thyoffset=7401name=ultimatelyelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Countable_Set.thyoffset=7890name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Countable_Set.thyoffset=7412name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=300274name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Countable_Set.thyoffset=8196name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Countable_Set.thyoffset=8006name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=87396name=thuselapsed=0.022 ML_statistics = :now=1466031515.65tasks_ready=3747tasks_pending=26tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=13size_allocation=3413114880size_allocation_free=1455738488size_heap=4162031616size_heap_free_last_full_GC=0size_heap_free_last_GC=3414097456threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=93.828time_GC=5.332user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=88143name=thuselapsed=0.019 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=87450name=thuselapsed=0.023 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=88201name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=89965name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=88201name=obtainelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=89965name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=88399name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=88616name=henceelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=90118name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=310240name=theoremelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=316543name=theoremelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=90240name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=88725name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=90323name=ultimatelyelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=88725name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=90334name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=88919name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Countable_Set.thyoffset=9121name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=89141name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=90401name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=89300name=haveelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Countable_Set.thyoffset=9261name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=89482name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=89670name=ultimatelyelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=89681name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Countable_Set.thyoffset=9506name=byelapsed=0.057 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=329961name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Countable_Set.thyoffset=9807name=showelapsed=0.019 ### Introduced fixed type variable(s): 'd, 'e, 'f in "f__" or "g__" command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=90760name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Countable_Set.thyoffset=10663name=showelapsed=0.017 ### Introduced fixed type variable(s): 'd, 'e in "X__" or "f__" or "g__" command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=90912name=showelapsed=0.024 ### Introduced fixed type variable(s): 'd, 'e in "f__" command_timing = :file=~~/src/HOL/Library/Countable_Set.thyoffset=11577name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=91025name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Countable_Set.thyoffset=11754name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=91096name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=91155name=showelapsed=0.020 ### Introduced fixed type variable(s): 'd in "X__" command_timing = :file=~~/src/HOL/Library/Countable_Set.thyoffset=11924name=guesselapsed=0.036 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=91236name=showelapsed=0.022 ### Introduced fixed type variable(s): 'd, 'e, 'f in "R__" or "S__" command_timing = :file=~~/src/HOL/Library/Countable_Set.thyoffset=11932name=..elapsed=0.019 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=91401name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Countable_Set.thyoffset=11942name=showelapsed=0.017 ### Introduced fixed type variable(s): 'd, 'e in "R__" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=331702name=no_notationelapsed=0.153 ### theory "Topology_Euclidean_Space" ### 13.625s elapsed time, 47.408s cpu time, 2.196s GC time Loading theory "Bounded_Linear_Function" (required by "Multivariate_Analysis" via "Fashoda" via "Cartesian_Euclidean_Space" via "Integration" via "Derivative") loading_theory = Bounded_Linear_Function command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=91717name=showelapsed=0.027 ### Introduced fixed type variable(s): 'd in "z__" command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=92344name=showelapsed=0.022 ### Introduced fixed type variable(s): 'd in "P__" command_timing = :file=~~/src/HOL/Library/Countable_Set.thyoffset=13090name=byelapsed=0.048 Loading theory "Convex_Euclidean_Space" (required by "Multivariate_Analysis" via "Fashoda" via "Brouwer_Fixpoint" via "Path_Connected" via "Extension") loading_theory = Convex_Euclidean_Space ML_statistics = :now=1466031516.15tasks_ready=3793tasks_pending=22tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=13size_allocation=3413114880size_allocation_free=659000448size_heap=4162031616size_heap_free_last_full_GC=0size_heap_free_last_GC=3414097456threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=95.424time_GC=5.332user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=92396name=showelapsed=0.024 Loading theory "Extended_Real_Limits" (required by "Multivariate_Analysis") loading_theory = Extended_Real_Limits command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=64848name=applyelapsed=3.272 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=64882name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=64895name=applyelapsed=0.102 Loading theory "Uniform_Limit" (required by "Multivariate_Analysis" via "Fashoda" via "Cartesian_Euclidean_Space" via "Integration" via "Derivative") loading_theory = Uniform_Limit command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=152name=theoryelapsed=0.701 ML_statistics = :now=1466031516.94tasks_ready=3791tasks_pending=22tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=14size_allocation=3394240512size_allocation_free=2702162432size_heap=4137914368size_heap_free_last_full_GC=0size_heap_free_last_GC=3395392400threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=98.388time_GC=5.62user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=294name=named_theoremselapsed=0.170 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=1529name=attribute_setupelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=2196name=attribute_setupelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=3295name=typedefelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=3295name=typedefelapsed=0.055 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=3809name=setup_liftingelapsed=0.077 instantiation blinfun :: (real_normed_vector, real_normed_vector) real_normed_vector uminus_blinfun == uminus :: 'a \\<^sub>L 'b \ 'a \\<^sub>L 'b zero_blinfun == zero_class.zero :: 'a \\<^sub>L 'b minus_blinfun == minus :: 'a \\<^sub>L 'b \ 'a \\<^sub>L 'b \ 'a \\<^sub>L 'b plus_blinfun == plus :: 'a \\<^sub>L 'b \ 'a \\<^sub>L 'b \ 'a \\<^sub>L 'b sgn_blinfun == sgn :: 'a \\<^sub>L 'b \ 'a \\<^sub>L 'b norm_blinfun == norm :: 'a \\<^sub>L 'b \ real scaleR_blinfun == scaleR :: real \ 'a \\<^sub>L 'b \ 'a \\<^sub>L 'b dist_blinfun == dist :: 'a \\<^sub>L 'b \ 'a \\<^sub>L 'b \ real open_blinfun == open :: ('a \\<^sub>L 'b) set \ bool uniformity_blinfun == uniformity :: ('a \\<^sub>L 'b \ 'a \\<^sub>L 'b) filter command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=309name=theoryelapsed=1.051 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=4196name=lift_definitionelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=4259name=lift_definitionelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=4385name=definitionelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=200name=theoryelapsed=0.650 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=271name=definitionelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=4486name=definitionelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=512name=definitionelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=4617name=definitionelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=627name=definitionelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=4759name=lift_definitionelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=10109name=definitionelapsed=0.053 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=1539name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=4868name=lift_definitionelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=10189name=lemmaelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=1736name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=1981name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=10283name=lemmaelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=2356name=lemmaelapsed=0.011 ML_statistics = :now=1466031517.45tasks_ready=3827tasks_pending=22tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=14size_allocation=3394240512size_allocation_free=2190049736size_heap=4137914368size_heap_free_last_full_GC=0size_heap_free_last_GC=3395392400threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=99.988time_GC=5.62user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=4956name=lift_definitionelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=10372name=lemmaelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=5082name=lift_definitionelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=10457name=lemmaelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=5436name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=5233name=definitionelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=6308name=lemmaelapsed=0.013 locale bounded_bilinear = fixes prod :: "'a \ 'b \ 'c" assumes "bounded_bilinear op **" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=9120name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=11102name=corollaryelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=11647name=corollaryelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=11939name=corollaryelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=10542name=lemmaelapsed=0.142 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=10542name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=217name=theoryelapsed=0.983 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=438name=lemmaelapsed=0.010 ### theory "Extended_Real_Limits" ### 1.556s elapsed time, 5.292s cpu time, 0.288s GC time command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=6918name=named_theoremselapsed=0.178 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=93210name=haveelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=93469name=thuselapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=13146name=lift_definitionelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=6164name=lemmaelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=13146name=lift_definitionelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=12608name=named_theoremselapsed=0.187 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=12949name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=94459name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=15426name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=14658name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=432name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=15182name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=464name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=15788name=lemmaelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=12362name=lemmaelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=17398name=lemmaelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=95154name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=18971name=lemmaelapsed=0.010 ML_statistics = :now=1466031517.95tasks_ready=3926tasks_pending=22tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=14size_allocation=3410010112size_allocation_free=1312536080size_heap=4137955328size_heap_free_last_full_GC=0size_heap_free_last_GC=3395392400threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=101.588time_GC=5.62user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=19343name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=13228name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=95154name=obtainelapsed=0.022 locale bounded_bilinear = fixes prod :: "'a \ 'b \ 'c" assumes "bounded_bilinear op **" command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=95228name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=14004name=definitionelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=95289name=thuselapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=21720name=lift_definitionelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=95458name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=21659name=lemmaelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=95609name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=15347name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=21952name=lift_definitionelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=22358name=lemmaelapsed=0.012 ### theory "Uniform_Limit" ### 1.415s elapsed time, 5.644s cpu time, 0.000s GC time command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=19918name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=95609name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=22213name=lift_definitionelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=95920name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=95681name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=22641name=lift_definitionelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=23249name=lemmaelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=95756name=thuselapsed=0.020 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=96115name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=96115name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=22869name=lift_definitionelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=96698name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=96249name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=96893name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=96249name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=23097name=lift_definitionelapsed=0.031 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=96893name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=96378name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=97027name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=29970name=definitionelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=96436name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=23913name=lift_definitionelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=97027name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=96534name=thuselapsed=0.020 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=97156name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=24213name=lift_definitionelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=97527name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=97214name=haveelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=24541name=lift_definitionelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=97312name=thuselapsed=0.019 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=97592name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=36709name=definitionelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=98596name=subgoalelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=24857name=lift_definitionelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Countable_Complete_Lattices.thyoffset=257name=byelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=25203name=lift_definitionelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=767name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=857name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=25504name=lift_definitionelapsed=0.017 ### theory "Bounded_Linear_Function" ### 2.251s elapsed time, 8.052s cpu time, 0.288s GC time command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=960name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=41214name=definitionelapsed=0.013 ML_statistics = :now=1466031519.06tasks_ready=4039tasks_pending=22tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=15size_allocation=3314589696size_allocation_free=3314589696size_heap=4101222400size_heap_free_last_full_GC=0size_heap_free_last_GC=3315644792threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=104.42time_GC=6.264user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=1041name=showelapsed=0.685 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=41674name=lemmaelapsed=0.670 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=953name=byelapsed=0.725 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=41807name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=5461name=byelapsed=0.031 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=5111name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=5586name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=1227name=byelapsed=0.769 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=5784name=henceelapsed=0.030 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=6421name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=7419name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=6571name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=5831name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=6721name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=7629name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=5831name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=6822name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=7841name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=5940name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=52873name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=57042name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=7913name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=5940name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=1479name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=6049name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=61810name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=1511name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=8797name=interpretelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=65392name=lemmaelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=6189name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=8837name=interpretelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=10046name=letelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=8837name=interpretelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=10087name=letelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=11493name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=8877name=fixelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=10128name=letelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=11605name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=8901name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=11712name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=10199name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=8990name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=10374name=fixelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=11811name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=9082name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=11922name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=10403name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=9082name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=12449name=byelapsed=0.033 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=12549name=byelapsed=0.033 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=9184name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=1813name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=83057name=definitionelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=9184name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=1999name=byelapsed=0.046 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=2462name=byelapsed=0.010 ML_statistics = :now=1466031519.56tasks_ready=4114tasks_pending=22tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=15size_allocation=3314589696size_allocation_free=2650266896size_heap=4101222400size_heap_free_last_full_GC=0size_heap_free_last_GC=3315644792threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=105.952time_GC=6.264user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=2657name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=9286name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=2254name=byelapsed=0.073 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=9551name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=88950name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=3656name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=3826name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=4957name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=4470name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=4031name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=4161name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=5055name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=4600name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=6189name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=7258name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=5540name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=6281name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=7311name=finallyelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=5638name=showelapsed=0.022 ### Introduced fixed type variable(s): 'a in "P__" command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=7319name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=6384name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=7646name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=6473name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=8506name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=8226name=ultimatelyelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=8612name=fixelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=6562name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=8237name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=6626name=finallyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=106312name=lemmaelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=349name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=8681name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=110633name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=6634name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=9240name=ultimatelyelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Countable_Complete_Lattices.thyoffset=855name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=584name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=112093name=definitionelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=531name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=9251name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=9862name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=707name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=11220name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=9971name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=877name=fixelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=11330name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=1005name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=10136name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=863name=byelapsed=0.011 ### Ignoring duplicate rewrite rule: ### interior (ball ?x1 ?e1) \ ball ?x1 ?e1 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=1034name=ultimatelyelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=11497name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=1342name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=1045name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=1120name=applyelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=12577name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=1316name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=1117name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=12614name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=13277name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=122183name=definitionelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=1527name=applyelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=12614name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=1570name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=13726name=showelapsed=0.026 ML_statistics = :now=1466031520.07tasks_ready=4192tasks_pending=22tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=15size_allocation=3314589696size_allocation_free=1996402640size_heap=4101222400size_heap_free_last_full_GC=0size_heap_free_last_GC=3315644792threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=107.548time_GC=6.264user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=12728name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=14198name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=12857name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=1959name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=12894name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=2048name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=12894name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=2148name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=13007name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=2239name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=2293name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=2328name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=14809name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=2392name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=1772name=byelapsed=0.175 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=151284name=definitionelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=15005name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=2512name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=15240name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=2742name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=15459name=finallyelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=15467name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=15819name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=16015name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=156315name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=2702name=applyelapsed=0.048 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=2847name=applyelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=16250name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=16470name=finallyelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=3000name=byelapsed=0.043 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=16478name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=3096name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=17002name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=3374name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=3439name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=17241name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=171740name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=3492name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=17464name=finallyelapsed=0.024 ML_statistics = :now=1466031520.57tasks_ready=4250tasks_pending=22tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=15size_allocation=3314589696size_allocation_free=1214844472size_heap=4101222400size_heap_free_last_full_GC=0size_heap_free_last_GC=3315644792threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=109.148time_GC=6.264user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=3557name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=17472name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=179373name=definitionelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=3611name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=180423name=lemmaelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=3677name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=183261name=lemmaelapsed=0.236 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=3731name=showelapsed=0.263 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=3797name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=3345name=byelapsed=0.356 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=3846name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=17836name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=3904name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=18032name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=3955name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=4014name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=18271name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=193475name=lemmaelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=4065name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=18495name=finallyelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=18503name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=4124name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=4177name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=205558name=definitionelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=4704name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=205667name=definitionelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=4732name=applyelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=205811name=definitionelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=205981name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=4768name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=6273name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=4939name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=6471name=fixelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=4996name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=207850name=definitionelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=6489name=fixelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=207909name=definitionelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=5881name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=6569name=letelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=208541name=lemmaelapsed=0.014 ML_statistics = :now=1466031521.3tasks_ready=4316tasks_pending=22tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=16size_allocation=3185573888size_allocation_free=2096246272size_heap=4133728256size_heap_free_last_full_GC=0size_heap_free_last_GC=3186884128threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=112.324time_GC=6.5user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=19712name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=6624name=letelapsed=0.030 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=19836name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=6675name=haveelapsed=0.029 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=363349name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=21527name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=365402name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=22267name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=22949name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=21575name=letelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=366595name=propositionelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=23646name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=21612name=letelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=22335name=haveelapsed=0.031 ML_statistics = :now=1466031523.44tasks_ready=4664tasks_pending=22tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=17size_allocation=3215982592size_allocation_free=2116970224size_heap=4170428416size_heap_free_last_full_GC=0size_heap_free_last_GC=3216513000threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=119.428time_GC=6.684user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=22323name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=21650name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=22589name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=22381name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=21746name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=371503name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=22440name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=22670name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=21786name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=22890name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=24083name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=21989name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=22981name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=24141name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=22019name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=23022name=finallyelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=22110name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=24197name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=23030name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=24197name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=23075name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=23166name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=24471name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=27652name=byelapsed=0.038 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=23871name=proofelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=23207name=finallyelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=24591name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=23928name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=23215name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=23976name=letelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=24668name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=23293name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=24013name=letelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=24668name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=24051name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=27869name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=24950name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=24152name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=389295name=propositionelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=24950name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=27971name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=24234name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=25232name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=28161name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=393159name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=24277name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=394302name=propositionelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=25318name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=28299name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=24317name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=396419name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=24505name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=25374name=finallyelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=28449name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=25382name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=28650name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=29090name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=400192name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=25463name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=29164name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=30698name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=25512name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=30806name=qedelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=405744name=propositionelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=29218name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=24953name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=25636name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=29303name=haveelapsed=0.025 ML_statistics = :now=1466031523.95tasks_ready=4752tasks_pending=22tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=17size_allocation=3215982592size_allocation_free=1631508376size_heap=4170428416size_heap_free_last_full_GC=0size_heap_free_last_GC=3216513000threads_in_ML=4threads_total=11threads_wait_condvar=4threads_wait_IO=0threads_wait_mutex=2threads_wait_signal=1time_CPU=121.028time_GC=6.684user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=412029name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=31100name=henceelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=25699name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=412567name=propositionelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=29353name=finallyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=413386name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=31159name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=25762name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=29361name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=31247name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=25864name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=29412name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=31305name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=25978name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=29517name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=31365name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=26050name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=29517name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=31474name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=421777name=propositionelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=26107name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=29615name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=31601name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=424081name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=26192name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=31673name=finallyelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=29720name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=424899name=propositionelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=26248name=finallyelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=31681name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=29720name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=26256name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=29806name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=31933name=henceelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=26336name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=29865name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=432917name=propositionelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=31992name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=26384name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=29905name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=436268name=corollaryelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=32080name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=438241name=corollaryelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=26511name=haveelapsed=0.024 ### theory "Convex_Euclidean_Space" ### 7.574s elapsed time, 26.792s cpu time, 1.064s GC time Loading theory "Extension" (required by "Multivariate_Analysis" via "Fashoda" via "Brouwer_Fixpoint" via "Path_Connected") loading_theory = Extension command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=29966name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=32138name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=26571name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=30006name=finallyelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=32198name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=30014name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=26628name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=32317name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=26726name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=30117name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=26840name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=32475name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=30186name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=32547name=finallyelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=30256name=finallyelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=26910name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=32555name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=27030name=fixelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=30264name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=27090name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=30330name=thuselapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=221name=theoryelapsed=0.170 ML_statistics = :now=1466031524.45tasks_ready=4821tasks_pending=21tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=17size_allocation=3215982592size_allocation_free=1155143096size_heap=4170428416size_heap_free_last_full_GC=0size_heap_free_last_GC=3216513000threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=122.616time_GC=6.684user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=26205name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=27191name=fixelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=502name=propositionelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=26614name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=27251name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=5187name=lemmaelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=26715name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=27299name=ultimatelyelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Countable_Complete_Lattices.thyoffset=2371name=byelapsed=0.091 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=7362name=propositionelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=27310name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=26902name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=10334name=lemmaelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=11055name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=27017name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=27913name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=11456name=propositionelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=27148name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=27976name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=12082name=theoremelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=27229name=finallyelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=19657name=corollaryelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=28113name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=27237name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=20055name=corollaryelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=28243name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=20464name=corollaryelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=28562name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=28352name=finallyelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=20877name=corollaryelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=28360name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=28632name=thuselapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=21280name=corollaryelapsed=0.013 ### theory "Extension" ### 0.420s elapsed time, 1.680s cpu time, 0.000s GC time Loading theory "Path_Connected" (required by "Multivariate_Analysis" via "Fashoda" via "Brouwer_Fixpoint") loading_theory = Path_Connected command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=29127name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=32741name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Countable_Complete_Lattices.thyoffset=2656name=byelapsed=0.210 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=29314name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=33024name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=33615name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=33069name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=29422name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=33664name=applyelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=33146name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=29533name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=33190name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=29938name=henceelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=33286name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Countable_Complete_Lattices.thyoffset=3469name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=33327name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=30041name=guesselapsed=0.040 command_timing = :file=~~/src/HOL/Library/Countable_Complete_Lattices.thyoffset=3469name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=34450name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=30049name=..elapsed=0.022 command_timing = :file=~~/src/HOL/Library/Countable_Complete_Lattices.thyoffset=3528name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=34964name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=30136name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Countable_Complete_Lattices.thyoffset=3596name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=35038name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=30463name=henceelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Countable_Complete_Lattices.thyoffset=3785name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=35138name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=30658name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=35455name=haveelapsed=0.020 ML_statistics = :now=1466031524.95tasks_ready=4848tasks_pending=20tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=17size_allocation=3215982592size_allocation_free=113368264size_heap=4170428416size_heap_free_last_full_GC=0size_heap_free_last_GC=3216513000threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=125.812time_GC=6.684user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Countable_Complete_Lattices.thyoffset=3980name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=30754name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=35777name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Countable_Complete_Lattices.thyoffset=3980name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=35900name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=30808name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Countable_Complete_Lattices.thyoffset=4039name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=30908name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=36223name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Countable_Complete_Lattices.thyoffset=4107name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=31037name=finallyelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=36551name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=37151name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=31045name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=36680name=showelapsed=0.449 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=31149name=haveelapsed=0.450 command_timing = :file=~~/src/HOL/Library/Countable_Complete_Lattices.thyoffset=4296name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=31700name=ultimatelyelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=31711name=showelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=38884name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=37215name=haveelapsed=0.486 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=38998name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=37268name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=215name=theoryelapsed=0.727 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=291name=definitionelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=1197name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=393name=definitionelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=1463name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=484name=definitionelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=1225name=henceelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=1463name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Countable_Complete_Lattices.thyoffset=5018name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=577name=definitionelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=683name=definitionelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=1294name=finallyelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=1550name=henceelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=2520name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=796name=definitionelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=1302name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=1601name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=2520name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=977name=definitionelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=1639name=finallyelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=2898name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=1158name=definitionelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=2602name=henceelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=1647name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=2898name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=2650name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=1710name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=3018name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=2711name=finallyelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=3097name=finallyelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=3502name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=2719name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=3105name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=3502name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=3172name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=3572name=henceelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Countable_Complete_Lattices.thyoffset=5204name=byelapsed=0.037 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=3662name=thuselapsed=0.022 command_timing = :file=~~/src/HOL/Library/Countable_Complete_Lattices.thyoffset=5387name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=5079name=henceelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=3747name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Countable_Complete_Lattices.thyoffset=5570name=byelapsed=0.037 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=5142name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=3747name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Countable_Complete_Lattices.thyoffset=5763name=byelapsed=0.010 ML_statistics = :now=1466031525.88tasks_ready=4896tasks_pending=20tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=18size_allocation=3207942144size_allocation_free=2625492152size_heap=4134076416size_heap_free_last_full_GC=0size_heap_free_last_GC=3200769648threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=127.976time_GC=7.104user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Countable_Complete_Lattices.thyoffset=5964name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=3819name=henceelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=6161name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=3910name=thuselapsed=0.023 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=6965name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=7374name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=6512name=byelapsed=0.063 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=39816name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=40304name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=39816name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=15594name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=8123name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=40013name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=7934name=byelapsed=0.073 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=40118name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=22783name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=40730name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=40143name=ultimatelyelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=8521name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=40154name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=8576name=applyelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=8659name=applyelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=26959name=definitionelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=9236name=byelapsed=0.035 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=9409name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=41245name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=29242name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=41323name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=41453name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=41607name=finallyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=33427name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=41615name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=35318name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=35944name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=41729name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=36827name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=37577name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=41930name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=38463name=definitionelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=42024name=finallyelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=42032name=showelapsed=0.023 ML_statistics = :now=1466031526.38tasks_ready=4936tasks_pending=20tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=18size_allocation=3207942144size_allocation_free=1532019680size_heap=4134076416size_heap_free_last_full_GC=0size_heap_free_last_GC=3200769648threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=129.58time_GC=7.104user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=42091name=qedelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=41483name=definitionelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=9553name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=9747name=applyelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=43718name=lemmaelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=46142name=definitionelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=10067name=byelapsed=0.107 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=10398name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=10598name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=48535name=definitionelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=10715name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=42832name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=10832name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=10998name=byelapsed=0.034 command_timing = :file=~~/src/HOL/Library/Countable_Complete_Lattices.thyoffset=6697name=byelapsed=0.646 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=43031name=byelapsed=0.028 ### Ignoring duplicate rewrite rule: ### inverse_permutation_of_list [] ?y \ ?y command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=43435name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=43617name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=44143name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Operator_Norm.thyoffset=1024name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Operator_Norm.thyoffset=1299name=interpretelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Operator_Norm.thyoffset=1024name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Operator_Norm.thyoffset=1339name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Operator_Norm.thyoffset=1063name=haveelapsed=0.025 ML_statistics = :now=1466031527.03tasks_ready=4993tasks_pending=20tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=19size_allocation=3104133120size_allocation_free=3104133120size_heap=4150996992size_heap_free_last_full_GC=0size_heap_free_last_GC=3105104392threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=131.868time_GC=7.28user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Operator_Norm.thyoffset=1339name=obtainelapsed=0.208 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Operator_Norm.thyoffset=1150name=showelapsed=0.205 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Operator_Norm.thyoffset=1438name=haveelapsed=0.028 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:file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=186433name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=6696name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=186816name=lemmaelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=10334name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=10611name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=6840name=henceelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=432name=applyelapsed=0.014 ML_statistics = :now=1466031529.21tasks_ready=5143tasks_pending=20tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=20size_allocation=3117416448size_allocation_free=2118391424size_heap=4171968512size_heap_free_last_full_GC=0size_heap_free_last_GC=3119291464threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=138.976time_GC=7.444user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=189252name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=6233name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=6965name=henceelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=7057name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=10854name=henceelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=702name=applyelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=195121name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=11031name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=196872name=lemmaelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=12006name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=11136name=henceelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=12157name=henceelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=11236name=henceelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=11329name=fixelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=12243name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=199524name=lemmaelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=6338name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=11375name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=200901name=propositionelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=12669name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=11484name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=202461name=propositionelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=11597name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=12853name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=12961name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=11710name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=13032name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=11741name=finallyelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=11749name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=6437name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=11785name=henceelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=13797name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=11845name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=13923name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=214412name=propositionelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=14677name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=14037name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=14845name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=14121name=showelapsed=0.026 locale Retracts = fixes s :: "'a set" and h :: "'a \ 'b" and t :: "'b set" and k :: "'b \ 'a" assumes "Retracts s h t k" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=221483name=localeelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=14233name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=6855name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=16130name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=221694name=lemmaelapsed=0.039 ML_statistics = :now=1466031529.71tasks_ready=5205tasks_pending=20tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=20size_allocation=3117416448size_allocation_free=1172526456size_heap=4171968512size_heap_free_last_full_GC=0size_heap_free_last_GC=3119291464threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=140.576time_GC=7.444user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=16229name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=15769name=thuselapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=223304name=lemmaelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=16486name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=16303name=applyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=7144name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=1623name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=224525name=lemmaelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=7279name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=1728name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=226109name=lemmaelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=1844name=finallyelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=2311name=byelapsed=0.058 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=1852name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=228216name=definitionelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=2570name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=7374name=applyelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=2659name=ultimatelyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=231839name=lemmaelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=2670name=showelapsed=0.190 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=233542name=lemmaelapsed=0.179 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=2948name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=234210name=lemmaelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=235675name=lemmaelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=3355name=haveelapsed=0.031 ### theory "Path_Connected" ### 5.314s elapsed time, 18.256s cpu time, 0.916s GC time Loading theory "Homeomorphism" (required by "Multivariate_Analysis" via "Fashoda" via "Brouwer_Fixpoint") loading_theory = Homeomorphism command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=3531name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=3810name=finallyelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Countable_Complete_Lattices.thyoffset=6522name=byelapsed=4.220 Loading theory "Weierstrass" (required by "Multivariate_Analysis") loading_theory = Weierstrass command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=3818name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=3903name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=7489name=applyelapsed=0.396 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=4392name=byelapsed=0.033 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=4619name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=7658name=byelapsed=0.040 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=4980name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=6056name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=7611name=byelapsed=0.031 ML_statistics = :now=1466031530.36tasks_ready=5224tasks_pending=18tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=21size_allocation=3095396352size_allocation_free=3095396352size_heap=4171968512size_heap_free_last_full_GC=0size_heap_free_last_GC=3096860680threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=142.552time_GC=7.6user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=146name=theoryelapsed=0.187 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=6143name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=7855name=applyelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=275name=propositionelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=6220name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=4618name=corollaryelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=8146name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=6492name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=5245name=propositionelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=8251name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=6590name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=17368name=corollaryelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=8371name=finallyelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=6770name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=8379name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=6894name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=7161name=finallyelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=31095name=theoremelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=8850name=byelapsed=0.050 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=7169name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=9018name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=7199name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=9425name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=10750name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=10856name=ultimatelyelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=9622name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=10867name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=9955name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=10093name=finallyelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=49064name=definitionelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=10101name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=50012name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=50435name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=11203name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=8029name=byelapsed=0.086 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=11567name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=53332name=lemmaelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=12521name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=13123name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=56182name=propositionelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=12591name=ultimatelyelapsed=0.018 ### theory "Homeomorphism" ### 0.581s elapsed time, 2.320s cpu time, 0.000s GC time Loading theory "Brouwer_Fixpoint" (required by "Multivariate_Analysis" via "Fashoda") loading_theory = Brouwer_Fixpoint command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=12602name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=13205name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=98name=theoryelapsed=0.543 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=197name=definitionelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=8564name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=13485name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=8693name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=13721name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=8834name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=14165name=haveelapsed=0.024 ML_statistics = :now=1466031530.86tasks_ready=5270tasks_pending=17tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=21size_allocation=3095396352size_allocation_free=1443302568size_heap=4171968512size_heap_free_last_full_GC=0size_heap_free_last_GC=3096860680threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=145.752time_GC=7.6user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=14252name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=9256name=applyelapsed=0.030 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=14373name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=2406name=lemmaelapsed=0.051 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=15420name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=14760name=finallyelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=15549name=finallyelapsed=0.018 locale function_ring_on = fixes R :: "('a \ real) set" and s :: "'a set" assumes "function_ring_on R s" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=7121name=localeelapsed=0.038 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=14768name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=15557name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=14798name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=9402name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=8054name=definitionelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=16144name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=10035name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=16234name=ultimatelyelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=10230name=fixelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=8513name=lemmaelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=16245name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=10267name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=17574name=lemmaelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=1217name=theoryelapsed=0.224 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=11578name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=21658name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=1794name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=12115name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Extended_Nat.thyoffset=1364name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=22363name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=12549name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=30055name=corollaryelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=4121name=lemmaelapsed=0.026 Proofs for inductive predicate(s) "real_polynomial_function" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=12305name=byelapsed=0.078 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=13079name=byelapsed=0.050 Proving monotonicity ... Proving the introduction rules ... Proving the elimination rules ... Proving the induction rule ... Proving the simplification rules ... command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=13351name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=5181name=lemmaelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=30728name=inductiveelapsed=0.048 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=31195name=definitionelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=13521name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=6780name=lemmaelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=14021name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=14163name=byelapsed=0.014 locale kuhn_simplex = fixes p :: "nat" and n :: "nat" and base :: "nat \ nat" and upd :: "nat \ nat" and s :: "(nat \ nat) set" assumes "kuhn_simplex p n base upd s" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=10346name=localeelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=14399name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=10650name=definitionelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=14545name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=15122name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=13802name=applyelapsed=0.162 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=15202name=ultimatelyelapsed=0.019 ML_statistics = :now=1466031531.36tasks_ready=5342tasks_pending=17tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=21size_allocation=3095396352size_allocation_free=646460896size_heap=4171968512size_heap_free_last_full_GC=0size_heap_free_last_GC=3096860680threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=147.348time_GC=7.6user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=15213name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=15362name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=45588name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=15787name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=13874name=applyelapsed=0.106 locale kuhn_simplex_pair = fixes p :: "nat" and n :: "nat" and b_s :: "nat \ nat" and u_s :: "nat \ nat" and s :: "(nat \ nat) set" and b_t :: "nat \ nat" and u_t :: "nat \ nat" and t :: "(nat \ nat) set" assumes "kuhn_simplex_pair p n b_s u_s s b_t u_t t" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=15260name=localeelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=15970name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=16280name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=13926name=applyelapsed=0.026 Proofs for inductive predicate(s) "ksimplex" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=16280name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=17652name=obtainelapsed=0.022 Proving monotonicity ... Proving the introduction rules ... Proving the elimination rules ... Proving the induction rule ... Proving the simplification rules ... command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=16357name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=19444name=inductiveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=48010name=hide_factelapsed=0.095 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=17652name=obtainelapsed=0.020 ### theory "Weierstrass" ### 1.289s elapsed time, 5.152s cpu time, 0.000s GC time command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=19429name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=17751name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=24759name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=21139name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=19429name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=25513name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=17844name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=21139name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=19603name=letelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=19202name=ultimatelyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=21279name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=19629name=letelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=19213name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=19675name=letelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=21439name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=26399name=lemmaelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=19701name=haveelapsed=0.331 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=21644name=subgoalelapsed=0.334 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=21973name=subgoalelapsed=0.330 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=42999name=lemmaelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=21774name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=22196name=applyelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=44637name=definitionelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=19751name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=22379name=byelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=23809name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=19822name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Nat.thyoffset=1981name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=45915name=lemmaelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=24082name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=20009name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=24798name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=20050name=fixelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=24156name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=47111name=lemmaelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=24798name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=20202name=letelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=51346name=lemmaelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=26511name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=24924name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=20217name=letelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=26511name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=51867name=lemmaelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=20240name=letelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=24966name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=26676name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=20273name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=25347name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=53582name=lemmaelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=54768name=definitionelapsed=0.010 ML_statistics = :now=1466031532.14tasks_ready=5400tasks_pending=17tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=22size_allocation=3074424832size_allocation_free=3074424832size_heap=4144705536size_heap_free_last_full_GC=0size_heap_free_last_GC=3075529576threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=148.812time_GC=7.904user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=25347name=obtainelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=26676name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=20346name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=26737name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=25392name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=20523name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=26854name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=68044name=definitionelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=20608name=finallyelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=25533name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=68133name=definitionelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=27098name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=26903name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=20616name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=68425name=lemmaelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=20670name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=27364name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=26955name=ultimatelyelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=69417name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=26966name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=20925name=ultimatelyelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=27364name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=70194name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=20936name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=27511name=letelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=28181name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=27556name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=28181name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=27694name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=28273name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=27753name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=32514name=byelapsed=0.059 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=28419name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=27800name=fixelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=32658name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=28419name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=27862name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=79178name=lemmaelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=28569name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=79975name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=27927name=ultimatelyelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=29665name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=27938name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=32815name=byelapsed=0.065 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=30174name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=82382name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=33081name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=30478name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=34073name=haveelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=83151name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=33147name=fixelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=34134name=finallyelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=30551name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=86762name=definitionelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=33187name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=34142name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=31156name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=86954name=definitionelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=87215name=definitionelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=33276name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=34386name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=31237name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=87398name=propositionelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=33341name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=34504name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=31781name=ultimatelyelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=90955name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=31792name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=34612name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=33378name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=92279name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=34789name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=33489name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=34846name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=33536name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=93337name=propositionelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=33619name=haveelapsed=0.025 ML_statistics = 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:file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=35421name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=99520name=lemmaelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=33726name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=100323name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=35595name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=33759name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=101583name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=35595name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Extended_Nat.thyoffset=4359name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=35716name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Nat.thyoffset=4424name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=35823name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=36132name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=36684name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=36194name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=36794name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=36275name=ultimatelyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=36960name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=36286name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=121219name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=36960name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=38181name=proofelapsed=0.013 ### theory "Brouwer_Fixpoint" ### 2.060s elapsed time, 7.288s cpu time, 0.304s GC time Loading theory "Derivative" (required by "Multivariate_Analysis" via "Fashoda" via "Cartesian_Euclidean_Space" via "Integration") loading_theory = Derivative command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=37089name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=35036name=byelapsed=0.350 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=38327name=letelapsed=0.028 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:file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=38805name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=37674name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Extended_Nat.thyoffset=6089name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=41802name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=38856name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Extended_Nat.thyoffset=6220name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=38969name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=42244name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Extended_Nat.thyoffset=6762name=showelapsed=0.020 command_timing = 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:file=~~/src/HOL/Library/Extended_Nat.thyoffset=14563name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=4963name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Extended_Nat.thyoffset=14267name=finallyelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Extended_Nat.thyoffset=14691name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=5011name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Extended_Nat.thyoffset=14275name=showelapsed=0.021 ML_statistics = :now=1466031533.64tasks_ready=5468tasks_pending=16tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=22size_allocation=3074424832size_allocation_free=739520536size_heap=4144705536size_heap_free_last_full_GC=0size_heap_free_last_GC=3075529576threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=155.204time_GC=7.904user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=5792name=fixelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=5089name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Extended_Nat.thyoffset=17190name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Disjoint_Sets.thyoffset=5871name=haveelapsed=0.015 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=82597name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=78285name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=80096name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=78348name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=83256name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=80096name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=101171name=lemmaelapsed=0.045 ### theory "Derivative" ### 2.718s elapsed time, 10.008s cpu time, 0.276s GC time Loading theory "Integration" (required by "Multivariate_Analysis" via "Fashoda" via "Cartesian_Euclidean_Space") loading_theory = Integration command_timing = 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:file=~~/src/HOL/Library/Multiset.thyoffset=18375name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=350061name=definitionelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=43673name=byelapsed=0.258 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=44309name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=18495name=fixelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=18515name=haveelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=44394name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=18598name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=44907name=byelapsed=0.099 ML_statistics = :now=1466031541.66tasks_ready=5914tasks_pending=15tasks_running=7tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=27size_allocation=2878341120size_allocation_free=2878341120size_heap=4176285696size_heap_free_last_full_GC=0size_heap_free_last_GC=2879509680threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=181.924time_GC=9.008user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=44005name=byelapsed=0.274 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=398620name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=45129name=byelapsed=0.314 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=403089name=lemmaelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=407650name=lemmaelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=409135name=lemmaelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=45954name=byelapsed=0.059 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=46161name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=410462name=lemmaelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=20023name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=412664name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=46632name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=421994name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=423851name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=46632name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=424709name=lemmaelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=46698name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=45491name=byelapsed=0.415 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=425718name=lemmaelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=46726name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=45654name=byelapsed=0.405 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=426277name=lemmaelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=47552name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=426811name=lemmaelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Product_plus.thyoffset=2789name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=48308name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=427730name=lemmaelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=428241name=lemmaelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=48509name=qedelapsed=0.045 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=49673name=applyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=428783name=lemmaelapsed=0.019 ML_statistics = :now=1466031542.16tasks_ready=5888tasks_pending=15tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=27size_allocation=2878341120size_allocation_free=891600736size_heap=4176285696size_heap_free_last_full_GC=0size_heap_free_last_GC=2879509680threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=185.124time_GC=9.008user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=430872name=lemmaelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=434197name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=50193name=applyelapsed=0.107 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=434637name=lemmaelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=50267name=applyelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=440268name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=50522name=byelapsed=0.149 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=446366name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Product_plus.thyoffset=2972name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=446772name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=447482name=theoremelapsed=0.013 ### theory "Integration" ### 6.468s elapsed time, 23.252s cpu time, 0.828s GC time Loading theory "Bounded_Continuous_Function" (required by "Multivariate_Analysis") loading_theory = Bounded_Continuous_Function command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=50611name=byelapsed=0.236 Loading theory "Cartesian_Euclidean_Space" (required by "Multivariate_Analysis" via "Fashoda") loading_theory = Cartesian_Euclidean_Space command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=50753name=byelapsed=0.228 Loading theory "Integral_Test" (required by "Multivariate_Analysis" via "Gamma" via "Harmonic_Numbers") loading_theory = Integral_Test command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Continuous_Function.thyoffset=41name=theoryelapsed=0.277 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Continuous_Function.thyoffset=128name=definitionelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Continuous_Function.thyoffset=268name=typedefelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integral_Test.thyoffset=145name=theoryelapsed=0.156 locale antimono_fun_sum_integral_diff = fixes f :: "real \ real" assumes "antimono_fun_sum_integral_diff f" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integral_Test.thyoffset=664name=localeelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integral_Test.thyoffset=867name=definitionelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Continuous_Function.thyoffset=268name=typedefelapsed=0.057 ML_statistics = :now=1466031542.78tasks_ready=5913tasks_pending=12tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=28size_allocation=2861563904size_allocation_free=2861563904size_heap=4177334272size_heap_free_last_full_GC=0size_heap_free_last_GC=2863158264threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=186.136time_GC=9.12user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ### theory "Integral_Test" ### 0.215s elapsed time, 0.860s cpu time, 0.000s GC time instantiation bcontfun :: (topological_space, metric_space) metric_space dist_bcontfun == dist :: ('a, 'b) bcontfun \ ('a, 'b) bcontfun \ real uniformity_bcontfun == uniformity :: (('a, 'b) bcontfun \ ('a, 'b) bcontfun) filter open_bcontfun == open :: ('a, 'b) bcontfun set \ bool command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=51013name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Continuous_Function.thyoffset=1415name=definitionelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=51455name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Continuous_Function.thyoffset=1573name=definitionelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=51544name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Continuous_Function.thyoffset=1739name=definitionelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=52057name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=20824name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=52783name=applyelapsed=0.025 instantiation bcontfun :: (topological_space, real_normed_vector) real_vector uminus_bcontfun == uminus :: ('a, 'b) bcontfun \ ('a, 'b) bcontfun zero_bcontfun == zero_class.zero :: ('a, 'b) bcontfun minus_bcontfun == minus :: ('a, 'b) bcontfun \ ('a, 'b) bcontfun \ ('a, 'b) bcontfun plus_bcontfun == plus :: ('a, 'b) bcontfun \ ('a, 'b) bcontfun \ ('a, 'b) bcontfun scaleR_bcontfun == scaleR :: real \ ('a, 'b) bcontfun \ ('a, 'b) bcontfun command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=52895name=applyelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Continuous_Function.thyoffset=8486name=definitionelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=53003name=applyelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Continuous_Function.thyoffset=8544name=definitionelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Continuous_Function.thyoffset=8621name=definitionelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=53259name=applyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Continuous_Function.thyoffset=8698name=definitionelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=53371name=applyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Continuous_Function.thyoffset=8737name=definitionelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=53487name=applyelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=53829name=obtainelapsed=0.023 instantiation bcontfun :: (topological_space, real_normed_vector) real_normed_vector sgn_bcontfun == sgn :: ('a, 'b) bcontfun \ ('a, 'b) bcontfun norm_bcontfun == norm :: ('a, 'b) bcontfun \ real command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=53937name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Continuous_Function.thyoffset=11829name=definitionelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=20886name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Continuous_Function.thyoffset=11922name=definitionelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=54286name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Continuous_Function.thyoffset=14637name=definitionelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=54433name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Continuous_Function.thyoffset=14797name=definitionelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Continuous_Function.thyoffset=14964name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=54541name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=54899name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=54899name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Continuous_Function.thyoffset=18437name=lemmaelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=54987name=haveelapsed=0.026 ### theory "Bounded_Continuous_Function" ### 0.874s elapsed time, 3.148s cpu time, 0.112s GC time ML_statistics = :now=1466031543.28tasks_ready=5944tasks_pending=12tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=28size_allocation=2861563904size_allocation_free=1745890320size_heap=4177334272size_heap_free_last_full_GC=0size_heap_free_last_GC=2863158264threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=187.736time_GC=9.12user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=55263name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=55094name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=47849name=byelapsed=1.254 command_timing = :file=~~/src/HOL/Library/Product_plus.thyoffset=3164name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=56834name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=56443name=byelapsed=0.043 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=56663name=byelapsed=0.046 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=56917name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=57775name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=58554name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=59068name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=58620name=ultimatelyelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=58189name=byelapsed=0.057 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=58631name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=59767name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=60494name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=58725name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=61451name=fixelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=62424name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=62806name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=61500name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=62549name=showelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=61598name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=63319name=haveelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=62870name=ultimatelyelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=61689name=haveelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=63426name=ultimatelyelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=62881name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=63437name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=61858name=finallyelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=62946name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=63588name=showelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=61866name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=63875name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=96name=theoryelapsed=1.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=19308name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=63932name=showelapsed=0.023 instantiation vec :: (times, finite) times times_vec == times :: ('a, 'b) vec \ ('a, 'b) vec \ ('a, 'b) vec command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=66680name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=19409name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=64040name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=66809name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=1285name=definitionelapsed=0.029 instantiation vec :: (one, finite) one one_vec == one_class.one :: ('a, 'b) vec command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=19471name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=64040name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=19537name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=1400name=definitionelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=64165name=haveelapsed=0.025 instantiation vec :: (ord, finite) ord less_eq_vec == less_eq :: ('a, 'b) vec \ ('a, 'b) vec \ bool less_vec == less :: ('a, 'b) vec \ ('a, 'b) vec \ bool command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=20340name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=68642name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=1490name=definitionelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=68642name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=64620name=guesselapsed=0.046 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=69178name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=1527name=definitionelapsed=0.030 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=68738name=showelapsed=0.018 ### Additional type variable(s) in locale specification "cart_one": 'a command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=64628name=..elapsed=0.020 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=69178name=obtainelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=68824name=fixelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=69276name=showelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=64652name=haveelapsed=0.022 ML_statistics = :now=1466031543.78tasks_ready=5927tasks_pending=12tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=28size_allocation=2861563904size_allocation_free=321612960size_heap=4177334272size_heap_free_last_full_GC=0size_heap_free_last_GC=2863158264threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=190.932time_GC=9.12user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=69362name=fixelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=68834name=haveelapsed=0.020 class cart_one = type + assumes "UNIV_one": "CARD('a) = Suc 0" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=1649name=classelapsed=0.048 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=64730name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=69372name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=68917name=ultimatelyelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=64999name=ultimatelyelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=68928name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=69457name=ultimatelyelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=69468name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=65010name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=68972name=qedelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=1725name=subclasselapsed=0.077 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=69512name=qedelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=20699name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=69825name=fixelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=70388name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=20741name=letelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=69835name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=20779name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=70500name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=69972name=fixelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=20839name=haveelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=70564name=finallyelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=69982name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=70572name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=20871name=finallyelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=70103name=ultimatelyelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=70772name=showelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=20879name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=70114name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=24386name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=70138name=qedelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=70870name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=71645name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=70870name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=72305name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=70980name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=73006name=obtainelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=71147name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=72363name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=73163name=showelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=72363name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=73422name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=22480name=showelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=73504name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=72491name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=22784name=showelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=73939name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=74407name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=74748name=fixelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=73939name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=74508name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=73995name=henceelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=74771name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=74853name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=74062name=thuselapsed=0.019 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=75487name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=23106name=fixelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=74128name=thuselapsed=0.019 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=75487name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=76086name=fixelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=23162name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=75590name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=76109name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=23162name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=75644name=ultimatelyelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=76191name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=23270name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=76191name=showelapsed=0.222 ML_statistics = :now=1466031544.49tasks_ready=5941tasks_pending=12tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=29size_allocation=2845835264size_allocation_free=2845835264size_heap=4165799936size_heap_free_last_full_GC=0size_heap_free_last_GC=2847082792threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=193.1time_GC=9.34user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=23270name=haveelapsed=0.222 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=75655name=showelapsed=0.244 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=24612name=fixelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=23357name=haveelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=23407name=fixelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=24635name=haveelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=75844name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=24693name=showelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=23448name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=76665name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=77062name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=23567name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=76665name=obtainelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=76732name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=77062name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=23567name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=1725name=subclasselapsed=0.722 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=77129name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=23655name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=76777name=ultimatelyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=2517name=definitionelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=23713name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=77174name=ultimatelyelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=76788name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=2721name=definitionelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=77185name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=76855name=qedelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=23784name=ultimatelyelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=77252name=qedelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=3063name=hide_factelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=23795name=haveelapsed=0.024 ### Ignoring duplicate rewrite rule: ### vec_lambda ?g1 $ ?i1 \ ?g1 ?i1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=3097name=method_setupelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=77698name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=23825name=ultimatelyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=24355name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=77807name=henceelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=23836name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=24505name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=77964name=henceelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=24759name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=24799name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=78076name=thuselapsed=0.022 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=78406name=byelapsed=0.044 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=25441name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=24920name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=25579name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=25009name=ultimatelyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=25727name=byelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=25020name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=78909name=byelapsed=0.052 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=25883name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=25095name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=79317name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=79754name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=79418name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=79863name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=80362name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=26180name=byelapsed=0.124 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=80362name=obtainelapsed=0.024 ML_statistics = :now=1466031544.99tasks_ready=6038tasks_pending=12tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=29size_allocation=2845835264size_allocation_free=2263498240size_heap=4165799936size_heap_free_last_full_GC=0size_heap_free_last_GC=2847082792threads_in_ML=5threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=194.704time_GC=9.34user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=80422name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=81168name=fixelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=15393name=definitionelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=80491name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=81256name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=15597name=definitionelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=80491name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=81256name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=15779name=definitionelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=15964name=definitionelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=80551name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=81332name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=16042name=definitionelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=80602name=ultimatelyelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=16130name=definitionelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=81832name=ultimatelyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=16198name=definitionelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=80613name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=81843name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=16266name=definitionelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=16336name=definitionelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=80778name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=81976name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=80896name=ultimatelyelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=80907name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=82158name=byelapsed=0.052 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=82370name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=82530name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=20957name=definitionelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=21062name=definitionelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=80101name=byelapsed=0.380 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=21237name=definitionelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=82674name=byelapsed=0.138 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=82842name=byelapsed=0.156 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=32168name=definitionelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=27626name=byelapsed=0.270 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=32211name=definitionelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=28402name=byelapsed=0.010 ML_statistics = :now=1466031545.5tasks_ready=6067tasks_pending=12tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=29size_allocation=2845835264size_allocation_free=1463218464size_heap=4165799936size_heap_free_last_full_GC=0size_heap_free_last_GC=2847082792threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=196.308time_GC=9.34user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=83577name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=83476name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=28701name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=34244name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=36202name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=83006name=byelapsed=0.200 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=38108name=lemmaelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=84137name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=28962name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=38762name=lemmaelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=29108name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=39245name=lemmaelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=29347name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=40350name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=29428name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=83957name=byelapsed=0.254 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=29710name=applyelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=42905name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=84478name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=84549name=fixelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=44532name=declareelapsed=0.167 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=84592name=haveelapsed=0.190 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=45435name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=84669name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=45852name=definitionelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=84669name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=83709name=byelapsed=0.596 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=46404name=lemmaelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=84780name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=84780name=obtainelapsed=0.026 instantiation 1 :: cart_one ML_statistics = :now=1466031546.15tasks_ready=6106tasks_pending=12tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=30size_allocation=2807037952size_allocation_free=2807037952size_heap=4171042816size_heap_free_last_full_GC=0size_heap_free_last_GC=2808022064threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=198.484time_GC=9.5user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=84929name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=85771name=byelapsed=0.063 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=48796name=definitionelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=85975name=fixelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=30047name=applyelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=86018name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=50525name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=86018name=obtainelapsed=0.025 ### theory "Cartesian_Euclidean_Space" ### 3.685s elapsed time, 13.580s cpu time, 0.380s GC time Loading theory "Complex_Analysis_Basics" (required by "Multivariate_Analysis" via "Conformal_Mappings" via "Cauchy_Integral_Thm" via "Complex_Transcendental") loading_theory = Complex_Analysis_Basics command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=30104name=byelapsed=0.070 Loading theory "Determinants" (required by "Multivariate_Analysis") loading_theory = Determinants command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=86226name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=86341name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=86389name=showelapsed=0.024 Loading theory "Fashoda" (required by "Multivariate_Analysis") loading_theory = Fashoda command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=143name=theoryelapsed=0.234 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=275name=definitionelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=465name=lemmaelapsed=0.018 ML_statistics = :now=1466031546.65tasks_ready=6130tasks_pending=7tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=30size_allocation=2807037952size_allocation_free=1969955648size_heap=4171042816size_heap_free_last_full_GC=0size_heap_free_last_GC=2808022064threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=200.084time_GC=9.5user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=2482name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=3212name=lemmaelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=11091name=lemmaelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=13039name=lemmaelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=18335name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=20451name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=22647name=lemmaelapsed=0.025 ### theory "Fashoda" ### 0.491s elapsed time, 1.960s cpu time, 0.000s GC time Loading theory "Ordered_Euclidean_Space" (required by "Multivariate_Analysis") loading_theory = Ordered_Euclidean_Space command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=203name=theoryelapsed=0.566 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Determinants.thyoffset=188name=theoryelapsed=0.648 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Determinants.thyoffset=307name=definitionelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=4106name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Determinants.thyoffset=1085name=definitionelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=5597name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Determinants.thyoffset=3228name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Determinants.thyoffset=4236name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=7066name=lemmaelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Determinants.thyoffset=10075name=lemmaelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=9905name=definitionelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Determinants.thyoffset=12242name=lemmaelapsed=0.010 ML_statistics = :now=1466031547.16tasks_ready=6206tasks_pending=7tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=30size_allocation=2807037952size_allocation_free=1301418232size_heap=4171042816size_heap_free_last_full_GC=0size_heap_free_last_GC=2808022064threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=201.688time_GC=9.5user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Determinants.thyoffset=14222name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Determinants.thyoffset=14732name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Determinants.thyoffset=17399name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Determinants.thyoffset=18629name=lemmaelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=13986name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Determinants.thyoffset=20709name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=15354name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=15662name=definitionelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Determinants.thyoffset=28590name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Determinants.thyoffset=30542name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Determinants.thyoffset=31323name=definitionelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Determinants.thyoffset=31706name=definitionelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Determinants.thyoffset=36337name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=1name=theoryelapsed=0.865 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Determinants.thyoffset=39378name=definitionelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Determinants.thyoffset=39443name=definitionelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=15853name=named_theoremselapsed=0.461 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Determinants.thyoffset=40544name=lemmaelapsed=0.020 ### theory "Determinants" ### 1.502s elapsed time, 5.244s cpu time, 0.244s GC time Loading theory "Polytope" (required by "Multivariate_Analysis") loading_theory = Polytope ML_statistics = :now=1466031547.9tasks_ready=6289tasks_pending=7tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=31size_allocation=2790260736size_allocation_free=2790260736size_heap=4157411328size_heap_free_last_full_GC=0size_heap_free_last_GC=2791515056threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=203.876time_GC=9.744user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=21437name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=23537name=definitionelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=105name=theoryelapsed=0.272 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=31170name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=208name=definitionelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=32990name=lemmaelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=34615name=lemmaelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=36181name=lemmaelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=37852name=lemmaelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=39294name=lemmaelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=39725name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=40289name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=41104name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=41703name=lemmaelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=46218name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=47167name=lemmaelapsed=0.017 ML_statistics = :now=1466031548.41tasks_ready=6385tasks_pending=7tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=31size_allocation=2790260736size_allocation_free=647014096size_heap=4157411328size_heap_free_last_full_GC=0size_heap_free_last_GC=2791515056threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=207.076time_GC=9.744user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ### theory "Complex_Analysis_Basics" ### 2.132s elapsed time, 7.756s cpu time, 0.244s GC time Loading theory "Complex_Transcendental" (required by "Multivariate_Analysis" via "Conformal_Mappings" via "Cauchy_Integral_Thm") loading_theory = Complex_Transcendental class ordered_euclidean_space = Inf + Sup + euclidean_space + abs + inf + sup + ord + assumes "eucl_le": "\x y. (x \ y) = (\i\Basis. x \ i \ y \ i)" assumes "eucl_less_le_not_le": "\x y. (x < y) = (x \ y \ \ y \ x)" assumes "eucl_inf": "\x y. inf x y = (\i\Basis. inf (x \ i) (y \ i) *\<^sub>R i)" assumes "eucl_sup": "\x y. sup x y = (\i\Basis. sup (x \ i) (y \ i) *\<^sub>R i)" assumes "eucl_Inf": "\X. Inf X = (\i\Basis. (INF x:X. x \ i) *\<^sub>R i)" assumes "eucl_Sup": "\X. Sup X = (\i\Basis. (SUP x:X. x \ i) *\<^sub>R i)" assumes "eucl_abs": "\x. \x\ = (\i\Basis. \x \ i\ *\<^sub>R i)" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=201name=classelapsed=0.759 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=24763name=definitionelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=25440name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=28200name=propositionelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=730name=subclasselapsed=0.086 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=30479name=definitionelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=34169name=definitionelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=34701name=lemmaelapsed=0.262 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=35831name=definitionelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=121name=theoryelapsed=0.524 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=266name=definitionelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=4236name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=52239name=definitionelapsed=0.013 ML_statistics = :now=1466031549.16tasks_ready=6479tasks_pending=6tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=32size_allocation=2739929088size_allocation_free=2739929088size_heap=4155314176size_heap_free_last_full_GC=0size_heap_free_last_GC=2740598544threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=208.272time_GC=9.996user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=54866name=definitionelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=58288name=propositionelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=61397name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=63551name=propositionelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=65275name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=65707name=propositionelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=74560name=lemmaelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=730name=subclasselapsed=0.846 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=22178name=definitionelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=76566name=propositionelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=854name=subclasselapsed=0.091 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=30656name=lemmaelapsed=0.023 instantiation complex :: ln ln_complex == ln :: complex \ complex ### theory "Polytope" ### 1.776s elapsed time, 6.324s cpu time, 0.252s GC time command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=32144name=definitionelapsed=0.028 ML_statistics = :now=1466031549.66tasks_ready=6619tasks_pending=6tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=32size_allocation=2739929088size_allocation_free=1689566096size_heap=4155314176size_heap_free_last_full_GC=0size_heap_free_last_GC=2740598544threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=209.88time_GC=9.996user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=30736name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=30910name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=35326name=definitionelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=31004name=ultimatelyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=35436name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=31015name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=35534name=lemmaelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=31110name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=31165name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=31583name=applyelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=42571name=lemmaelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=31642name=byelapsed=0.073 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=31941name=byelapsed=0.034 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=87217name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=87377name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=88192name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=854name=subclasselapsed=0.585 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=88669name=finallyelapsed=0.026 ML_statistics = :now=1466031550.33tasks_ready=6695tasks_pending=6tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=33size_allocation=2700083200size_allocation_free=2700083200size_heap=4165799936size_heap_free_last_full_GC=0size_heap_free_last_GC=2700957712threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=212.92time_GC=10.2user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=88677name=showelapsed=0.243 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=28336name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=956name=subclasselapsed=0.299 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=32240name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=64299name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=88965name=thuselapsed=0.025 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=89052name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=74202name=definitionelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=32779name=byelapsed=0.160 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=80263name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=90525name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=90891name=byelapsed=0.038 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=28370name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=91037name=definitionelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=91691name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=92450name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=92553name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=98221name=definitionelapsed=0.016 ML_statistics = :now=1466031550.83tasks_ready=6767tasks_pending=6tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=33size_allocation=2700083200size_allocation_free=1814256896size_heap=4165799936size_heap_free_last_full_GC=0size_heap_free_last_GC=2700957712threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=214.528time_GC=10.2user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=92812name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=92896name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=92966name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=93660name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=93753name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=956name=subclasselapsed=0.591 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=93826name=finallyelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=93834name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=30340name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=1060name=subclasselapsed=0.090 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=30363name=nextelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=114362name=lemmaelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=30372name=fixelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=30437name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=94534name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=94870name=haveelapsed=0.026 ### theory "Complex_Transcendental" ### 2.680s elapsed time, 9.324s cpu time, 0.456s GC time Loading theory "Generalised_Binomial_Theorem" (required by "Multivariate_Analysis") loading_theory = Generalised_Binomial_Theorem command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=94916name=showelapsed=0.024 Loading theory "Harmonic_Numbers" (required by "Multivariate_Analysis" via "Gamma") loading_theory = Harmonic_Numbers ML_statistics = :now=1466031551.33tasks_ready=6825tasks_pending=4tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=33size_allocation=2700083200size_allocation_free=1027733056size_heap=4165799936size_heap_free_last_full_GC=0size_heap_free_last_GC=2700957712threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=216.128time_GC=10.2user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=402name=theoryelapsed=0.216 ### theory "Generalised_Binomial_Theorem" ### 0.301s elapsed time, 1.200s cpu time, 0.000s GC time command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=95274name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=34418name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=95499name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=95499name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=95635name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=95725name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=95792name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=96051name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=133name=theoryelapsed=0.498 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=1060name=subclasselapsed=0.636 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=96517name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=943name=definitionelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=96517name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=96619name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=4332name=definitionelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=1131name=subclasselapsed=0.088 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=96619name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=5894name=lemmaelapsed=0.194 ML_statistics = :now=1466031551.99tasks_ready=6853tasks_pending=4tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=34size_allocation=2682257408size_allocation_free=2682257408size_heap=4168945664size_heap_free_last_full_GC=0size_heap_free_last_GC=2682751728threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=218.816time_GC=10.388user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=96679name=fixelapsed=0.215 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=96689name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=96784name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=20725name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=96898name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=22482name=lemmaelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=96956name=ultimatelyelapsed=0.024 ### theory "Harmonic_Numbers" ### 0.934s elapsed time, 3.160s cpu time, 0.188s GC time Loading theory "Gamma" (required by "Multivariate_Analysis") loading_theory = Gamma command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=96967name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=35341name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=35390name=finallyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=35398name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=97281name=showelapsed=0.023 ### Ignoring duplicate rewrite rule: ### ?y1 \ ball ?x1 ?e1 \ dist ?x1 ?y1 < ?e1 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=97586name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=97586name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=97666name=fixelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=97676name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=97754name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=97823name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=98002name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=98066name=finallyelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=98074name=showelapsed=0.025 ML_statistics = :now=1466031552.49tasks_ready=6880tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=34size_allocation=2682257408size_allocation_free=2021001768size_heap=4168945664size_heap_free_last_full_GC=0size_heap_free_last_GC=2682751728threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=220.416time_GC=10.388user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=98496name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=35858name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=98872name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=1131name=subclasselapsed=0.785 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=98988name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=99175name=fixelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=99216name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=1241name=subclasselapsed=0.091 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=99270name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=99374name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=124name=theoryelapsed=0.516 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=99454name=finallyelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=99462name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=99520name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=36087name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=36259name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=8503name=textelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=99840name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=9297name=definitionelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=9466name=definitionelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=99972name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=9639name=definitionelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=100057name=ultimatelyelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=100068name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=100543name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=12881name=definitionelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=13055name=definitionelapsed=0.023 ML_statistics = :now=1466031553tasks_ready=6914tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=34size_allocation=2682257408size_allocation_free=1445463112size_heap=4168945664size_heap_free_last_full_GC=0size_heap_free_last_GC=2682751728threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=222.016time_GC=10.388user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=13254name=definitionelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=13718name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=24742name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=36593name=applyelapsed=0.159 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=28028name=definitionelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=36651name=applyelapsed=0.031 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=100652name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=36784name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=100948name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=100948name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=100985name=henceelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=1241name=subclasselapsed=0.619 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=1712name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=101078name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=1712name=lemmaelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=2000name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=101118name=thuselapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=2000name=lemmaelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=2245name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=31310name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=2322name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=31391name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=2427name=lemmaelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=31610name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=2709name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=31677name=nextelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=2822name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=31758name=haveelapsed=0.019 ML_statistics = :now=1466031553.65tasks_ready=6951tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=35size_allocation=2661285888size_allocation_free=2661285888size_heap=4166848512size_heap_free_last_full_GC=0size_heap_free_last_GC=2661730784threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=224.648time_GC=10.576user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=2917name=lemmaelapsed=0.210 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=31828name=haveelapsed=0.219 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=3009name=lemmaelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=3009name=lemmaelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=32019name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=3391name=lemmaelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=3391name=lemmaelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=101457name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=101528name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=5524name=lemmaelapsed=0.024 instantiation prod :: (abs, abs) abs abs_prod == abs :: 'a \ 'b \ 'a \ 'b command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=37971name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=5914name=definitionelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=103350name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=103793name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=104107name=proofelapsed=0.023 instantiation vec :: (ordered_euclidean_space, finite) ordered_euclidean_space abs_vec == abs :: ('a, 'b) vec \ ('a, 'b) vec inf_vec == inf :: ('a, 'b) vec \ ('a, 'b) vec \ ('a, 'b) vec sup_vec == sup :: ('a, 'b) vec \ ('a, 'b) vec \ ('a, 'b) vec Inf_vec == Inf :: ('a, 'b) vec set \ ('a, 'b) vec Sup_vec == Sup :: ('a, 'b) vec set \ ('a, 'b) vec command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=29762name=applyelapsed=8.123 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=104224name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=10009name=definitionelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=105867name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=104932name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=10059name=definitionelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=104984name=qedelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=106096name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=10109name=definitionelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=106616name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=106394name=finallyelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=10154name=definitionelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=106733name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=106402name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=10199name=definitionelapsed=0.025 ### theory "Ordered_Euclidean_Space" ### 7.202s elapsed time, 25.472s cpu time, 1.076s GC time Loading theory "Cauchy_Integral_Thm" (required by "Multivariate_Analysis" via "Conformal_Mappings") loading_theory = Cauchy_Integral_Thm command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=107160name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=106794name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=106954name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=107982name=byelapsed=0.053 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=108168name=haveelapsed=0.036 ML_statistics = :now=1466031554.15tasks_ready=6966tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=35size_allocation=2661285888size_allocation_free=1742227032size_heap=4166848512size_heap_free_last_full_GC=0size_heap_free_last_GC=2661730784threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=226.252time_GC=10.576user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=108205name=henceelapsed=0.035 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=108312name=henceelapsed=0.034 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=108386name=henceelapsed=0.035 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=108479name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=108509name=finallyelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=108517name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=108554name=henceelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=108666name=thuselapsed=0.027 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=109955name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=34261name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=110164name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=38625name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=110941name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=111026name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=109701name=byelapsed=0.364 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=111068name=nextelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=111145name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=111329name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=111402name=showelapsed=0.026 ML_statistics = :now=1466031554.65tasks_ready=6961tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=35size_allocation=2661285888size_allocation_free=606809432size_heap=4166848512size_heap_free_last_full_GC=0size_heap_free_last_GC=2661730784threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=227.852time_GC=10.576user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=39102name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=112702name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=39341name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=39557name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=38744name=byelapsed=0.468 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=113705name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=39800name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=114110name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=39864name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=114225name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=40058name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=40058name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=42521name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=40138name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=115419name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=115669name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=40332name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=115782name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=40332name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=40412name=letelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=115935name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=116139name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=40476name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=116286name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=42829name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=116453name=ultimatelyelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=42923name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=116464name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=42957name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=116820name=henceelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=43049name=letelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=116907name=thuselapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=43090name=fixelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=43136name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=117134name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=43214name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=117256name=haveelapsed=0.022 ML_statistics = :now=1466031555.39tasks_ready=6965tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=36size_allocation=2631925760size_allocation_free=2049970800size_heap=4158459904size_heap_free_last_full_GC=0size_heap_free_last_GC=2633692984threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=230.66time_GC=10.808user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=43333name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=117362name=ultimatelyelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=117373name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=43403name=ultimatelyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=43414name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=117762name=thuselapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=43442name=fixelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=44296name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=44473name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=43523name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=43601name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=118406name=showelapsed=0.024 class Gamma = complete_space + real_normed_field + fixes rGamma :: "'a \ 'a" assumes "rGamma_eq_zero_iff_aux": "\z. (rGamma z = (0::'a)) = (\n. z = - of_nat n)" assumes "differentiable_rGamma_aux1": "\z. (\n. z \ - of_nat n) \ let d = (THE d. (\n. \k d) - euler_mascheroni *\<^sub>R (1::'a) in ((\y. (rGamma y - rGamma z + rGamma z * d * (y - z)) /\<^sub>R norm (y - z)) \ (0::'a)) (at z)" assumes "differentiable_rGamma_aux2": "\n. let z = - of_nat n in ((\y. (rGamma y - rGamma z - (- (1::'a)) ^ n * setprod of_nat {1..n} * (y - z)) /\<^sub>R norm (y - z)) \ (0::'a)) (at z)" assumes "rGamma_series_aux": "\z. (\n. z \ - of_nat n) \ let fact' = \n. setprod of_nat {1..n}; exp = \x. THE e. (\n. \kR fact k) \ e; pochhammer' = \a n. \n = 0..n. a + of_nat n in (\n. pochhammer' z n / (fact' n * exp (z * ln (real n) *\<^sub>R (1::'a)))) \ rGamma z" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=45431name=classelapsed=2.282 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=43635name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=118801name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=43726name=letelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=141name=theoryelapsed=1.348 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=43767name=fixelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=1426name=definitionelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=46515name=subclasselapsed=0.092 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=43812name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=44942name=byelapsed=0.088 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=119635name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=43890name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=120009name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=44009name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=45743name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=44080name=ultimatelyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=45946name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=44091name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=10783name=definitionelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=46007name=fixelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=120626name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=46140name=letelapsed=0.032 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=120757name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=46276name=fixelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=120810name=finallyelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=14086name=definitionelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=46331name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=120818name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=46520name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=120858name=haveelapsed=0.024 ML_statistics = :now=1466031555.89tasks_ready=7010tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=36size_allocation=2642501632size_allocation_free=1396642240size_heap=4158550016size_heap_free_last_full_GC=0size_heap_free_last_GC=2633692984threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=232.26time_GC=10.808user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=46601name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=120967name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=121119name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=46795name=ultimatelyelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=27622name=definitionelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=27762name=definitionelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=121248name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=46806name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=121302name=henceelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=46849name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=28552name=propositionelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=121375name=finallyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=46913name=letelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=31808name=definitionelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=47049name=fixelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=121383name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=32094name=definitionelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=32248name=definitionelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=121447name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=47099name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=47286name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=121599name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=33908name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=47359name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=121728name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=121787name=henceelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=47557name=ultimatelyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=47568name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=121860name=finallyelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=121868name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=47611name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=46515name=subclasselapsed=0.558 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=48752name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=46539name=definitionelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=47654name=ultimatelyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=47669name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=47730name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=48069name=fixelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=122007name=byelapsed=0.104 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=48119name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=122423name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=48198name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=59318name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=122522name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=48291name=showelapsed=0.024 ML_statistics = :now=1466031556.39tasks_ready=7114tasks_pending=2tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=36size_allocation=2642501632size_allocation_free=954632904size_heap=4158550016size_heap_free_last_full_GC=0size_heap_free_last_GC=2633692984threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=233.86time_GC=10.808user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=122622name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=62076name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=62597name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=122748name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=122845name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=62923name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=49334name=haveelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=63459name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=122969name=byelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=49592name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=65311name=lemmaelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=123196name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=49635name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=55612name=hide_factelapsed=0.155 instantiation complex :: Gamma rGamma_complex == rGamma :: complex \ complex command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=50269name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=49678name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=56549name=definitionelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=50388name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=49721name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=36551name=fixelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=50482name=ultimatelyelapsed=0.018 ### Introduced fixed type variable(s): 'h in "A__" command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=36561name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=50493name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=123491name=haveelapsed=0.029 instantiation real :: Gamma rGamma_real == rGamma :: real \ real command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=123552name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=68304name=definitionelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=76610name=lemmaelapsed=0.209 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=71274name=lemmaelapsed=0.208 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=123895name=byelapsed=0.297 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=81676name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=124011name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=78335name=definitionelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=123730name=byelapsed=0.407 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=84494name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=51022name=byelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=85316name=lemmaelapsed=0.017 ML_statistics = :now=1466031557.07tasks_ready=7250tasks_pending=2tasks_running=6tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=37size_allocation=2586927104size_allocation_free=2586927104size_heap=4164771840size_heap_free_last_full_GC=0size_heap_free_last_GC=2588400688threads_in_ML=3threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=235.784time_GC=11.008user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=124157name=byelapsed=0.125 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=84141name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=89509name=lemmaelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=93502name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=124278name=byelapsed=0.086 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=93813name=lemmaelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=124556name=byelapsed=0.026 locale Chain = fixes x0 :: "'a" and At :: "'a \ nat \ bool" and Follows :: "'a \ 'a \ bool" assumes "Chain x0 At Follows" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=97244name=localeelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=124680name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=124405name=byelapsed=0.092 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=97382name=primrecelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Product_Order.thyoffset=5805name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=112601name=definitionelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=124909name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=97836name=lemmaelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=51725name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=124909name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=51971name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=103786name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=115492name=definitionelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=104708name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=124969name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=115709name=definitionelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=52044name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=125038name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=52044name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=117269name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=125038name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=52247name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=122432name=lemmaelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=125098name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=52247name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=127195name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=125149name=ultimatelyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=52403name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=127984name=lemmaelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=125160name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=52555name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=131016name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=125326name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=52728name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=132009name=lemmaelapsed=0.011 ### theory "Gamma" ### 5.241s elapsed time, 19.020s cpu time, 0.620s GC time command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=52989name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=52911name=finallyelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=125444name=ultimatelyelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=132718name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Product_Order.thyoffset=5925name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=133329name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=125455name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=52919name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=53110name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=133847name=lemmaelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=53634name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=54217name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=53676name=fixelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=53706name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=54449name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=53476name=byelapsed=0.069 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=138784name=definitionelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=53744name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=54647name=fixelapsed=0.019 ML_statistics = :now=1466031557.58tasks_ready=7299tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=37size_allocation=2586927104size_allocation_free=1499393008size_heap=4164771840size_heap_free_last_full_GC=0size_heap_free_last_GC=2588400688threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=237.384time_GC=11.008user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=55570name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=54666name=fixelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=53778name=ultimatelyelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=139227name=lemmaelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=55841name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=53789name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=54679name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=56122name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=56255name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=150783name=lemmaelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=54791name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=57213name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=54856name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=56917name=applyelapsed=0.050 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=155741name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=57284name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=54920name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=58061name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=57284name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=159090name=lemmaelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=58726name=byelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=57354name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=58120name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=160379name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=58120name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=58874name=byelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=58190name=letelapsed=0.025 command_timing = 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:file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=2123name=ultimatelyelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=15764name=finallyelapsed=0.023 ML_statistics = :now=1466031559.78tasks_ready=7465tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=39size_allocation=2546991104size_allocation_free=2546991104size_heap=4181549056size_heap_free_last_full_GC=0size_heap_free_last_GC=2547762880threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=245.052time_GC=11.28user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=2134name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=13936name=henceelapsed=0.023 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command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=17396name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=73775name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=18038name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=17505name=finallyelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=305453name=lemmaelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=73864name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=306836name=lemmaelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=17513name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=18104name=henceelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=308241name=lemmaelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=18151name=henceelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=310268name=lemmaelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=311123name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=18299name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=313190name=propositionelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=18396name=ultimatelyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=18407name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=18612name=obtainelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=18612name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=321894name=propositionelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=74827name=applyelapsed=0.182 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=18799name=letelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=323742name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=18851name=haveelapsed=0.028 ML_statistics = :now=1466031560.28tasks_ready=7502tasks_pending=2tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=39size_allocation=2546991104size_allocation_free=1154664328size_heap=4181549056size_heap_free_last_full_GC=0size_heap_free_last_GC=2547762880threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=248.236time_GC=11.28user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=324219name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=324604name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=74526name=applyelapsed=0.266 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=20483name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=325575name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=20617name=ultimatelyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=21178name=obtainelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=20628name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=21178name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=328185name=lemmaelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=21363name=henceelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=3638name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=349862name=theoremelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=3730name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=21492name=haveelapsed=0.027 ### theory "Cauchy_Integral_Thm" ### 6.194s elapsed time, 22.572s cpu time, 0.704s GC time Loading theory "Conformal_Mappings" (required by "Multivariate_Analysis") loading_theory = Conformal_Mappings command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=3843name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=21686name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=4019name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=21857name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=22442name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=22022name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=22105name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=22602name=finallyelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=4486name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=74919name=applyelapsed=0.327 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=22610name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=23181name=finallyelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=75617name=applyelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=75777name=applyelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=23189name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=75857name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=5163name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=76290name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=23758name=haveelapsed=0.208 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=5656name=showelapsed=0.201 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=23884name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=24397name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=23948name=finallyelapsed=0.021 ML_statistics = :now=1466031560.92tasks_ready=7517tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=40size_allocation=2546991104size_allocation_free=2546991104size_heap=4168966144size_heap_free_last_full_GC=0size_heap_free_last_GC=2547643680threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=249.916time_GC=11.452user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=24523name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=23956name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=24587name=finallyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=24595name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=207name=theoryelapsed=0.463 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=77425name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=368name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=77093name=byelapsed=0.061 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=2439name=propositionelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=74973name=applyelapsed=0.473 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=6325name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=77593name=applyelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=25344name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=78086name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=7466name=propositionelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=25459name=finallyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=9744name=propositionelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=25467name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=25977name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=12153name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=26498name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=78526name=applyelapsed=0.056 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=26559name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=78544name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=26649name=finallyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=24522name=lemmaelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=78737name=applyelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=27660name=lemmaelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=26657name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=30674name=lemmaelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=26685name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=32164name=lemmaelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=34518name=lemmaelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=26822name=considerelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=26922name=henceelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=77653name=applyelapsed=0.297 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=44666name=propositionelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=27511name=finallyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=48703name=propositionelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=27519name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=53706name=propositionelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=78907name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=55337name=lemmaelapsed=0.011 ML_statistics = :now=1466031561.42tasks_ready=7540tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=40size_allocation=2552541184size_allocation_free=1226109312size_heap=4168224768size_heap_free_last_full_GC=0size_heap_free_last_GC=2547643680threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=2threads_wait_signal=1time_CPU=251.516time_GC=11.452user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=56827name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=79119name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=28131name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=57651name=propositionelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=61062name=lemmaelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=28192name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=61699name=lemmaelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=28282name=finallyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=28290name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=62876name=lemmaelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=28328name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=68117name=lemmaelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=28390name=haveelapsed=0.098 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=69431name=lemmaelapsed=0.091 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=70108name=propositionelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=28521name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=71502name=propositionelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=29091name=finallyelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=73757name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=29099name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=82174name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=77718name=byelapsed=0.400 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=91256name=corollaryelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=92632name=definitionelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=92812name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=98108name=lemmaelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=78773name=applyelapsed=0.665 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=79410name=applyelapsed=0.143 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=80048name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=79595name=byelapsed=0.059 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=104687name=lemmaelapsed=0.013 ML_statistics = :now=1466031561.95tasks_ready=7564tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=41size_allocation=2508500992size_allocation_free=2508500992size_heap=4174270464size_heap_free_last_full_GC=0size_heap_free_last_GC=2509501064threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=252.748time_GC=11.524user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=30165name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=107475name=lemmaelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=30165name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=123554name=lemmaelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=30413name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=80204name=applyelapsed=0.151 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=30553name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=125569name=lemmaelapsed=0.054 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=127462name=definitionelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=30553name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=80311name=applyelapsed=0.068 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=30676name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=129230name=definitionelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=80514name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=80376name=byelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=129436name=definitionelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=129691name=definitionelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=30988name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=129835name=definitionelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=130014name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=133406name=lemmaelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=40846name=byelapsed=0.095 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=135520name=lemmaelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=81053name=applyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=137125name=lemmaelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=139983name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=81109name=applyelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=80817name=byelapsed=0.128 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=81128name=applyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=31415name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=81373name=applyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=31415name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=81391name=byelapsed=0.010 ML_statistics = :now=1466031562.47tasks_ready=7570tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=42size_allocation=2513436672size_allocation_free=2513436672size_heap=4185804800size_heap_free_last_full_GC=0size_heap_free_last_GC=2514518440threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=255.756time_GC=11.584user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=31614name=haveelapsed=0.094 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=81506name=byelapsed=0.103 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=79907name=byelapsed=0.739 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=31767name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=32227name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=81727name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=81910name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=31767name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=82161name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=31893name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=82548name=applyelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=141998name=theoremelapsed=0.232 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=82584name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=33135name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=82363name=byelapsed=0.053 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=159329name=theoremelapsed=0.024 ### theory "Conformal_Mappings" ### 2.064s elapsed time, 7.276s cpu time, 0.304s GC time Loading theory "Multivariate_Analysis" loading_theory = Multivariate_Analysis command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=83141name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=33265name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=83198name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=33586name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=83270name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=33727name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=83344name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=33831name=henceelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=33958name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=83416name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=82757name=byelapsed=0.131 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=83495name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=34011name=ultimatelyelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=83762name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=34022name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=34345name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=41580name=showelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=83830name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=34345name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=41640name=showelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=83830name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=34466name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=35080name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=83891name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=34555name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=84941name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=85054name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=84030name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=35562name=letelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=84340name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=85288name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=35662name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=85377name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=35822name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=85442name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=35961name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=41722name=byelapsed=0.129 ML_statistics = :now=1466031562.97tasks_ready=7580tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=42size_allocation=2513436672size_allocation_free=1937034320size_heap=4185804800size_heap_free_last_full_GC=0size_heap_free_last_GC=2514518440threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=257.352time_GC=11.584user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=37540name=henceelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=36066name=finallyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=85878name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=36074name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=37618name=henceelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=36128name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=37739name=henceelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=38957name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=36209name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=37811name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=39098name=finallyelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=36415name=letelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=86331name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=39106name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=36515name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=86639name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=39253name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=87236name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=36675name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=39972name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=40304name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=87528name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=36814name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=40052name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=36919name=finallyelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=40707name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=36927name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=40869name=thuselapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=41363name=applyelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=36981name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=88723name=applyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=37062name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=89266name=applyelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=89662name=applyelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=6882name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=7445name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=89770name=applyelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=90004name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=6989name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=91261name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=90322name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=91425name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=90432name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=91643name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=90467name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=91643name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=92930name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=91720name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=92971name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=91720name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=91855name=haveelapsed=0.027 ML_statistics = :now=1466031563.47tasks_ready=7571tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=42size_allocation=2513436672size_allocation_free=1536752264size_heap=4185804800size_heap_free_last_full_GC=0size_heap_free_last_GC=2514518440threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=258.952time_GC=11.584user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=94138name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=91944name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=94230name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=92008name=nextelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=94230name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=92040name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=94401name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=96650name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=94537name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=96650name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=94911name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=96864name=fixelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=96257name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=96886name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=96985name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=98846name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=90864name=byelapsed=0.374 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=97072name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=99013name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=97128name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=99401name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=99855name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=99569name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=97172name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=99895name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=97402name=ultimatelyelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=97413name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=100231name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=100697name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=100775name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=97457name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=8050name=subgoalelapsed=0.019 ### Ignoring duplicate introduction (intro) ### ((\x. x) \ ?a) (at ?a within ?s) ### Ignoring duplicate introduction (intro) ### ((\x. ?k) \ ?k) ?F command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=101244name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=100864name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=97457name=obtainelapsed=0.022 ### Ignoring duplicate introduction (intro) ### ((\x. x) \ ?a) (at ?a within ?s) ### Ignoring duplicate introduction (intro) ### ((\x. ?k) \ ?k) ?F command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=97540name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=100950name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=101474name=byelapsed=0.017 ### Ignoring duplicate introduction (intro) ### ((\x. x) \ ?a) (at ?a within ?s) ### Ignoring duplicate introduction (intro) ### ((\x. ?k) \ ?k) ?F ### Ignoring duplicate introduction (intro) ### ((\x. x) \ ?a) (at ?a within ?s) ### Ignoring duplicate introduction (intro) ### ((\x. ?k) \ ?k) ?F command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=101719name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=102737name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=103018name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=103205name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=104010name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=103385name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=104122name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=103385name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=104482name=byelapsed=0.053 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=103416name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=104177name=ultimatelyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=103648name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=104188name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=104661name=applyelapsed=0.030 ML_statistics = :now=1466031563.98tasks_ready=7573tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=42size_allocation=2513436672size_allocation_free=1100118896size_heap=4185804800size_heap_free_last_full_GC=0size_heap_free_last_GC=2514518440threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=260.552time_GC=11.584user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=8759name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=104262name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=105743name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=105121name=fixelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=104872name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=105163name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=106618name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=105940name=byelapsed=0.045 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=107416name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=105211name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=107523name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=107636name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=105211name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=107902name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=109178name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=105303name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=109694name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=107967name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=105407name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=109694name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=107967name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=109769name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=110322name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=108000name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=108521name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=110546name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=109015name=finallyelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=111849name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=109023name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=111898name=finallyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=111906name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=112074name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=112179name=fixelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=112517name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=112245name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=112701name=applyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=112368name=ultimatelyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=113458name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=112379name=showelapsed=0.025 ### Ignoring duplicate rewrite rule: ### 0 < dist ?x1 ?y1 \ ?x1 \ ?y1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=116670name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=118507name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=116670name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=111470name=applyelapsed=0.222 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=121236name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=118590name=fixelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=116910name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=389name=fixelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=118632name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=405name=haveelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=117007name=haveelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=475name=haveelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=117111name=haveelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=118775name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=510name=ultimatelyelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=117171name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=118812name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=521name=showelapsed=0.015 ML_statistics = :now=1466031564.48tasks_ready=7575tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=42size_allocation=2513436672size_allocation_free=324580696size_heap=4185804800size_heap_free_last_full_GC=0size_heap_free_last_GC=2514518440threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=263.752time_GC=11.584user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=117511name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=121522name=applyelapsed=0.010 ### Ignoring duplicate rewrite rule: ### cball ?x1 ?e1 = {} \ ?e1 < 0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=118880name=ultimatelyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=117554name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=121824name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=118891name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=117644name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=118947name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=121824name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=119030name=fixelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=121914name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=121988name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=119093name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=122628name=applyelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=2095name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=119093name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=123115name=byelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=123250name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=119195name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=123362name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=119195name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=123742name=byelapsed=0.054 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=119301name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=124162name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=119411name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=124338name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=119478name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=124585name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=120843name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=9753name=byelapsed=0.286 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=120902name=ultimatelyelapsed=0.180 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=124585name=obtainelapsed=0.183 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=124672name=fixelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=120913name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=125743name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=125550name=applyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=125870name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=124714name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=126021name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=124714name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=126081name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=124817name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=126398name=applyelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=124880name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=126412name=applyelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=124964name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=126530name=applyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=125148name=showelapsed=0.026 ML_statistics = :now=1466031565.13tasks_ready=7559tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=43size_allocation=2507145216size_allocation_free=2507145216size_heap=4173221888size_heap_free_last_full_GC=0size_heap_free_last_GC=2508323440threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=264.96time_GC=11.74user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ### Ignoring duplicate rewrite rule: ### sup ?x1 (- ?x1) \ top command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=127703name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=127088name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=127703name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=127176name=fixelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=127798name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=127211name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=127798name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=127266name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=127928name=fixelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=127342name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=127962name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=128011name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=128674name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=128178name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=128674name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=128761name=fixelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=129338name=byelapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=128795name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=128888name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=129682name=byelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=129862name=byelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=131811name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=10628name=byelapsed=0.086 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=132202name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=5578name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=132722name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=134327name=obtainelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=132722name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=134327name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=132907name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=132907name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=134545name=fixelapsed=0.021 ML_statistics = :now=1466031565.64tasks_ready=7538tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=43size_allocation=2507145216size_allocation_free=1708363952size_heap=4173221888size_heap_free_last_full_GC=0size_heap_free_last_GC=2508323440threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=266.564time_GC=11.74user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=133107name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=134557name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=133161name=fixelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=134639name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=133217name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=134742name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=133317name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=134805name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=133432name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=133490name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=134878name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=133580name=fixelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=135031name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=133646name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=135103name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=133646name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=133704name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=135622name=ultimatelyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=133704name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=135633name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=133792name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=135906name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=133905name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=133991name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=135969name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Multivariate_Analysis.thyoffset=1name=theoryelapsed=3.355 ### theory "Multivariate_Analysis" ### 3.359s elapsed time, 12.944s cpu time, 0.156s GC time command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=134018name=ultimatelyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=136034name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=136705name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=134029name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=136083name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=137288name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=136223name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=125587name=byelapsed=1.040 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=11338name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=11561name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=12154name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=3457name=fixelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=12508name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=3765name=fixelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=3490name=haveelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=137872name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=12847name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=3582name=thuselapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=137990name=showelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=3990name=haveelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=4103name=haveelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=13333name=showelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=138750name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=138116name=haveelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=4469name=showelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=139860name=haveelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=138165name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=138750name=obtainelapsed=0.020 ML_statistics = :now=1466031566.14tasks_ready=7554tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=43size_allocation=2507145216size_allocation_free=50610288size_heap=4173221888size_heap_free_last_full_GC=0size_heap_free_last_GC=2508323440threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=269.764time_GC=11.74user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=138247name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=138859name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=140332name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=140571name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=140571name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=138978name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=141061name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=13736name=byelapsed=0.030 ### Rule already declared as introduction (intro) ### (\x y. ?A x y \ ?B (?f x) (?g y)) \ ### rel_fun ?A ?B ?f ?g command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=13981name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=140678name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=138978name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=141061name=obtainelapsed=0.102 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=141502name=byelapsed=0.091 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=139058name=haveelapsed=0.101 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=140747name=showelapsed=0.101 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=141207name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=139106name=haveelapsed=0.026 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=165225name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=163581name=showelapsed=0.022 ML_statistics = :now=1466031567.69tasks_ready=7498tasks_pending=0tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=44size_allocation=2473590784size_allocation_free=1147375096size_heap=4183707648size_heap_free_last_full_GC=0size_heap_free_last_GC=2474949032threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=274.844time_GC=11.816user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=34565name=byelapsed=0.011 command_timing = 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:file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=69109name=byelapsed=0.054 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=68749name=byelapsed=0.090 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=70019name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=69795name=byelapsed=0.050 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=69589name=byelapsed=0.096 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=70783name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Indicator_Function.thyoffset=3997name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=70630name=byelapsed=0.082 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=71346name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=71417name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=72280name=applyelapsed=0.042 command_timing = :file=~~/src/HOL/Library/Indicator_Function.thyoffset=4051name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=72581name=proofelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=72354name=applyelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=72791name=ultimatelyelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=73254name=byelapsed=0.034 ML_statistics = :now=1466031569.86tasks_ready=7420tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=46size_allocation=2440036352size_allocation_free=2440036352size_heap=4179513344size_heap_free_last_full_GC=0size_heap_free_last_GC=2440498056threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=282.04time_GC=12.028user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=72802name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=17465name=showelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=17725name=showelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Indicator_Function.thyoffset=4888name=byelapsed=0.017 command_timing = 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:file=~~/src/HOL/Library/Multiset.thyoffset=54608name=haveelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=54693name=haveelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=55726name=byelapsed=0.077 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=54796name=haveelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=178739name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=53196name=byelapsed=0.120 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=54903name=haveelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=54986name=haveelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=179066name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=178794name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=55082name=haveelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=55811name=byelapsed=0.108 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=55203name=finallyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=179530name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=179152name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=53390name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=55211name=showelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=179603name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=179152name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=180196name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=179238name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=179603name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=56084name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=180315name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=179294name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=56222name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=179745name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=58220name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=179819name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=183359name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=182586name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=58243name=nextelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=56301name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=58291name=showelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=182713name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=183359name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=184519name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=182844name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=183456name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=186208name=obtainelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=186307name=fixelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=183538name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=184596name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=56430name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=59091name=showelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=184596name=obtainelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=183538name=obtainelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=186356name=fixelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=184646name=fixelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=59114name=nextelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=183656name=haveelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=186402name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=59151name=showelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=184127name=showelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=184688name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=186481name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=56630name=haveelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=186974name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=184688name=obtainelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=186561name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=184777name=fixelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=56693name=showelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=186974name=obtainelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=186624name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=56760name=nextelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=187066name=fixelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=184832name=haveelapsed=0.021 ML_statistics = :now=1466031570.36tasks_ready=7403tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=46size_allocation=2440036352size_allocation_free=1163217288size_heap=4179513344size_heap_free_last_full_GC=0size_heap_free_last_GC=2440498056threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=285.228time_GC=12.028user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=56785name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=187108name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=189159name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=184930name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=56831name=nextelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=189331name=fixelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=187108name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=56862name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=184997name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=187242name=fixelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=189363name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=185076name=haveelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=56928name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=189537name=ultimatelyelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=187317name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=185132name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=189548name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=60780name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=187555name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=185132name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=187644name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=190292name=applyelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=185235name=fixelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=190458name=applyelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=187688name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=185260name=fixelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=190471name=applyelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=187829name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=185306name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=190751name=applyelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=189855name=applyelapsed=0.132 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=185306name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=187829name=obtainelapsed=0.024 ### Metis: Unused theorems: "Real_Vector_Spaces.metric_space_class.dist_nz" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=189868name=applyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=190914name=applyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=188024name=fixelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=185413name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=189902name=applyelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=190927name=applyelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=61751name=fixelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=185632name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=188066name=obtainelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=191016name=applyelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=61804name=considerelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=185772name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=188066name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=191249name=fixelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=185859name=showelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=61960name=showelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=188207name=fixelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=192233name=showelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=60848name=considerelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=188243name=obtainelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=191291name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=192545name=showelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=60991name=showelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=188243name=obtainelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=191291name=obtainelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=62835name=showelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=188421name=fixelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=191456name=fixelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=62978name=fixelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=191511name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=188466name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=63018name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=193069name=byelapsed=0.062 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=191726name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=188744name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=63363name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=191872name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=188821name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=191916name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=193594name=applyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=193357name=applyelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=195017name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=194159name=byelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=194782name=byelapsed=0.034 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=67105name=obtainelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=195381name=fixelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=67105name=obtainelapsed=0.014 ML_statistics = :now=1466031570.86tasks_ready=7418tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=46size_allocation=2440036352size_allocation_free=819313656size_heap=4179513344size_heap_free_last_full_GC=0size_heap_free_last_GC=2440498056threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=286.828time_GC=12.028user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=196693name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=67195name=showelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=195488name=fixelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=196841name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=197199name=fixelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=195556name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=197332name=fixelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=193928name=applyelapsed=0.146 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=195556name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=200326name=byelapsed=0.046 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=67933name=obtainelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=197378name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=195701name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=67933name=obtainelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=197378name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=195795name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=68015name=showelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=197556name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=195972name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=202099name=fixelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=197556name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=196054name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=197691name=fixelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=202213name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=203142name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=197731name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=202386name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=197960name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=198037name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=205172name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=198162name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=205172name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=68331name=byelapsed=0.190 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=204239name=byelapsed=0.092 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=205280name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=198232name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=205732name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=206112name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=198232name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=205382name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=207216name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=206377name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=207662name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=198377name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=69197name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=198377name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=208655name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=69197name=obtainelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=208803name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=69378name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=208150name=byelapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=198853name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=69452name=nextelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=69677name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=199066name=fixelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=209146name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=69487name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=209558name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=209301name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=199112name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=209705name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=209916name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=210314name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=199112name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=210517name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=210068name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=199261name=fixelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=69759name=byelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=211002name=obtainelapsed=0.029 ML_statistics = :now=1466031571.37tasks_ready=7418tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=46size_allocation=2440036352size_allocation_free=278764048size_heap=4179513344size_heap_free_last_full_GC=0size_heap_free_last_GC=2440498056threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=288.424time_GC=12.028user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=69878name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=199310name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=211002name=obtainelapsed=0.135 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=69963name=showelapsed=0.129 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=199420name=haveelapsed=0.130 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=212340name=byelapsed=0.156 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=69997name=nextelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=211060name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=199457name=finallyelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=70026name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=212587name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=199465name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=211092name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=212699name=ultimatelyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=199518name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=213172name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=211092name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=199615name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=211138name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=212710name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=213617name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=199676name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=211235name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=212829name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=211304name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=199863name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=213741name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=215932name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=199913name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=211401name=ultimatelyelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=214821name=henceelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=211412name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=216043name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=217689name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=214916name=thuselapsed=0.027 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=278523name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=274581name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=280658name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=277482name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=278690name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=274643name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=281039name=obtainelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=278830name=fixelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=277575name=ultimatelyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=281135name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=281743name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=278880name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=277586name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=279079name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=281814name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=277696name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=279079name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=282995name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=279159name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=279277name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=13353name=byelapsed=0.066 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=279351name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=279479name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=283639name=fixelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=279815name=ultimatelyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=283717name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=279826name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=283847name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=282314name=byelapsed=0.222 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=280025name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=283942name=ultimatelyelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=285607name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=283953name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Numeral_Type.thyoffset=13035name=byelapsed=0.207 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=285845name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=286324name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=286802name=thuselapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=284028name=fixelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=285845name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=286324name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=285930name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=286409name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=284114name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=287103name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=287432name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=284282name=fixelapsed=0.019 ML_statistics = :now=1466031574.56tasks_ready=7480tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=48size_allocation=2426404864size_allocation_free=2057632672size_heap=4175319040size_heap_free_last_full_GC=0size_heap_free_last_GC=2427977208threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=300.572time_GC=12.276user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=287432name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=287103name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=284368name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=287136name=henceelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=287465name=henceelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=286843name=qedelapsed=0.096 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=284559name=fixelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=287786name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=287185name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=287514name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=287837name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=287262name=finallyelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=287591name=finallyelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=284677name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=287599name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=287270name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=287933name=finallyelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=284954name=fixelapsed=0.018 ### Ignoring duplicate rewrite rule: ### open {} \ True ### Ignoring duplicate rewrite rule: ### closed {} \ True ### Ignoring duplicate rewrite rule: ### closed UNIV \ True ### Ignoring duplicate rewrite rule: ### closed ?S1 \ closed (insert ?a1 ?S1) \ True ### Ignoring duplicate rewrite rule: ### open {?a1<..} \ True ### Ignoring duplicate rewrite rule: ### open {.. True ### Ignoring duplicate rewrite rule: ### open {?a1<.. True ### Ignoring duplicate rewrite rule: ### closed {..?a1} \ True ### Ignoring duplicate rewrite rule: ### closed {?a1..} \ True ### Ignoring duplicate rewrite rule: ### closed {?a1..?b1} \ True ### Ignoring duplicate rewrite rule: ### continuous bot ?f1 \ True ### Ignoring duplicate rewrite rule: ### continuous (at ?x1 within ?S1) (\x. x) \ True ### Ignoring duplicate rewrite rule: ### continuous ?F1 (\x. ?c1) \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=288130name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=287941name=showelapsed=0.022 ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; ?f1 ?a1 \ (0::?'b1)\ ### \ isCont (\x. inverse (?f1 x)) ?a1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=285064name=haveelapsed=0.025 ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; isCont ?g1 ?a1; ?g1 ?a1 \ (0::?'b1)\ ### \ isCont (\x. ?f1 x / ?g1 x) ?a1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=288181name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=285324name=ultimatelyelapsed=0.022 ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; isCont ?g1 ?a1; 0 < ?f1 ?a1; ?f1 ?a1 \ 1; ### 0 < ?g1 ?a1\ ### \ isCont (\x. log (?f1 x) (?g1 x)) ?a1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=289199name=byelapsed=0.019 ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; isCont ?g1 ?a1; ?f1 ?a1 \ 0\ ### \ isCont (\x. ?f1 x powr ?g1 x) ?a1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=288277name=finallyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=285335name=showelapsed=0.024 ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; cos (?f1 ?a1) \ (0::?'a1)\ ### \ isCont (\x. tan (?f1 x)) ?a1 \ True ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; sin (?f1 ?a1) \ (0::?'a1)\ ### \ isCont (\x. cot (?f1 x)) ?a1 \ True ### Ignoring duplicate rewrite rule: ### continuous ?F1 ?g1 \ ### continuous ?F1 (\x. cnj (?g1 x)) \ True ### Ignoring duplicate rewrite rule: ### continuous_on ?s1 ?g1 \ ### continuous_on ?s1 (\x. cnj (?g1 x)) \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=288285name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=288651name=byelapsed=0.102 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=289725name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=289940name=obtainelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=292024name=byelapsed=0.043 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=289940name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=290161name=fixelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=290193name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=290349name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=290417name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=290548name=fixelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=290580name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=291346name=applyelapsed=0.229 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=290736name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=290800name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=290922name=ultimatelyelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=291419name=applyelapsed=0.070 ML_statistics = :now=1466031575.06tasks_ready=7490tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=48size_allocation=2426404864size_allocation_free=1573002560size_heap=4175319040size_heap_free_last_full_GC=0size_heap_free_last_GC=2427977208threads_in_ML=3threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=302.164time_GC=12.276user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=290933name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=293195name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=293304name=fixelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=291492name=applyelapsed=0.105 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=293338name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=293338name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=293409name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=291599name=applyelapsed=0.069 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=293453name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=293517name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=293572name=fixelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=291647name=applyelapsed=0.049 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=293582name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=291732name=applyelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=291780name=applyelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=293786name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=293786name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=294586name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=294793name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=293838name=obtainelapsed=0.023 ### Ignoring duplicate rewrite rule: ### open {} \ True ### Ignoring duplicate rewrite rule: ### closed {} \ True ### Ignoring duplicate rewrite rule: ### closed UNIV \ True ### Ignoring duplicate rewrite rule: ### closed ?S1 \ closed (insert ?a1 ?S1) \ True ### Ignoring duplicate rewrite rule: ### open {?a1<..} \ True ### Ignoring duplicate rewrite rule: ### open {.. True ### Ignoring duplicate rewrite rule: ### open {?a1<.. True ### Ignoring duplicate rewrite rule: ### closed {..?a1} \ True ### Ignoring duplicate rewrite rule: ### closed {?a1..} \ True ### Ignoring duplicate rewrite rule: ### closed {?a1..?b1} \ True ### Ignoring duplicate rewrite rule: ### continuous bot ?f1 \ True ### Ignoring duplicate rewrite rule: ### continuous (at ?x1 within ?S1) (\x. x) \ True ### Ignoring duplicate rewrite rule: ### continuous ?F1 (\x. ?c1) \ True ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; ?f1 ?a1 \ (0::?'b1)\ ### \ isCont (\x. inverse (?f1 x)) ?a1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=293838name=obtainelapsed=0.021 ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; isCont ?g1 ?a1; ?g1 ?a1 \ (0::?'b1)\ ### \ isCont (\x. ?f1 x / ?g1 x) ?a1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=293917name=haveelapsed=0.022 ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; isCont ?g1 ?a1; 0 < ?f1 ?a1; ?f1 ?a1 \ 1; ### 0 < ?g1 ?a1\ ### \ isCont (\x. log (?f1 x) (?g1 x)) ?a1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=294082name=ultimatelyelapsed=0.021 ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; isCont ?g1 ?a1; ?f1 ?a1 \ 0\ ### \ isCont (\x. ?f1 x powr ?g1 x) ?a1 \ True ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; cos (?f1 ?a1) \ (0::?'a1)\ ### \ isCont (\x. tan (?f1 x)) ?a1 \ True ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; sin (?f1 ?a1) \ (0::?'a1)\ ### \ isCont (\x. cot (?f1 x)) ?a1 \ True ### Ignoring duplicate rewrite rule: ### continuous ?F1 ?g1 \ ### continuous ?F1 (\x. cnj (?g1 x)) \ True ### Ignoring duplicate rewrite rule: ### continuous_on ?s1 ?g1 \ ### continuous_on ?s1 (\x. cnj (?g1 x)) \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=294093name=haveelapsed=0.023 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=37946name=fixelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=37521name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=37590name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=39537name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=37988name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=40793name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=38219name=fixelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=39537name=obtainelapsed=0.022 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=44749name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=40443name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=43970name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=44828name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=40514name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=43970name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=44955name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=44064name=showelapsed=0.021 ML_statistics = :now=1466031581.31tasks_ready=7634tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=51size_allocation=2387607552size_allocation_free=1287385616size_heap=4173221888size_heap_free_last_full_GC=0size_heap_free_last_GC=2389043920threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=326.772time_GC=12.596user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=40606name=ultimatelyelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=5226name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=45056name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=40617name=showelapsed=0.024 ### Ignoring duplicate rewrite rule: ### convex {?a1..} \ True ### Ignoring duplicate rewrite rule: ### convex {..?b1} \ True ### Ignoring duplicate rewrite rule: ### convex {?a1<..} \ True ### Ignoring duplicate rewrite rule: ### convex {.. True ### Ignoring duplicate rewrite rule: ### convex {?a1..?b1} \ True ### Ignoring duplicate rewrite rule: ### convex {?a1<..?b1} \ True ### Ignoring duplicate rewrite rule: ### convex {?a1.. True ### Ignoring duplicate rewrite rule: ### convex {?a1<.. True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=45157name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=46418name=byelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=46906name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=45243name=ultimatelyelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=47963name=proofelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=45254name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=46906name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=48052name=fixelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=46961name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=48582name=fixelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=48111name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=47001name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=48645name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=48329name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=47001name=obtainelapsed=0.018 ### Ignoring duplicate rewrite rule: ### convex (convex hull ?s1) \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=48874name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=30691name=byelapsed=1.302 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=47133name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=48969name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=47358name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=49854name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=50647name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=47449name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=49854name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=47687name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=49927name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=51384name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=53232name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=52515name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=47757name=ultimatelyelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=57392name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=47768name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=53473name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=57568name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=53473name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=58077name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=62069name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=53579name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=62069name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=58077name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=53758name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=62239name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=58231name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=65769name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=62277name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=58231name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=62343name=fixelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=65823name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=58377name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=62384name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=65931name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=58748name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=62634name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=58823name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=65931name=obtainelapsed=0.022 ML_statistics = :now=1466031581.81tasks_ready=7633tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=51size_allocation=2387607552size_allocation_free=895079400size_heap=4173221888size_heap_free_last_full_GC=0size_heap_free_last_GC=2389043920threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=328.368time_GC=12.596user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=62779name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=66077name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=67668name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=67700name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=62976name=ultimatelyelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=66321name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=68244name=fixelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=62991name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=66356name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=63229name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=68252name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=66429name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=63274name=fixelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=68692name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=66429name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=68785name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=63309name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=66541name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=63309name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=69451name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=66874name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=11573name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=63432name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=66874name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=63432name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=67029name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=63587name=fixelapsed=0.023 command_timing = 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command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=131543name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=149992name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=15113name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=131736name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=150243name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=151173name=byelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=151649name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=131852name=fixelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=152499name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=153014name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=131902name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=153536name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=154221name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=153160name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=131902name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=153536name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=154522name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=154784name=applyelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=15480name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=153655name=letelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=132013name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=155103name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=15890name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=132071name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=153692name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=15959name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=155586name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=153774name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=132105name=haveelapsed=0.022 ML_statistics = :now=1466031585.48tasks_ready=7860tasks_pending=0tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=52size_allocation=2359296000size_allocation_free=903684992size_heap=4174270464size_heap_free_last_full_GC=0size_heap_free_last_GC=2360072776threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=341.4time_GC=12.74user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=16123name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=157880name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=132281name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=156560name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=159472name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=156671name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=158054name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=132281name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=159648name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=132515name=henceelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=158054name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=159837name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=160418name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=132561name=fixelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=158169name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=160418name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=162616name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=132636name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=164057name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=160538name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=162781name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=132739name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=164240name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=160538name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=164759name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=132739name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=164240name=obtainelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=160644name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=132812name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=164348name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=164759name=obtainelapsed=0.021 ### Rule already declared as introduction (intro) ### ((\x. x) \ ?a) (at ?a within ?s) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=160706name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=164871name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=132934name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=160706name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=165567name=applyelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=164968name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=133063name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=160880name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=133247name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=165927name=fixelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=165059name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=160941name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=133324name=ultimatelyelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=16491name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=165992name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=160941name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=16904name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=133335name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=160974name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=167905name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=133398name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=16969name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=160974name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=167965name=fixelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=169333name=showelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=133495name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=161228name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=133555name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=169379name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=168029name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=161449name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=17110name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=169475name=fixelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=168163name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=133670name=ultimatelyelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=133681name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=169517name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=168163name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=170418name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=170499name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=168285name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=169637name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=170993name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=169696name=finallyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=168285name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=170993name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=171568name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=171112name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=169704name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=168436name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=172053name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=169779name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=168506name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=172388name=obtainelapsed=0.013 ML_statistics = :now=1466031585.98tasks_ready=7893tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=52size_allocation=2359296000size_allocation_free=403182520size_heap=4174270464size_heap_free_last_full_GC=0size_heap_free_last_GC=2360072776threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=344.6time_GC=12.74user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=172512name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=169917name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=168558name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=175521name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=168706name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=176246name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=172703name=haveelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=175521name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=175640name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=176287name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=173351name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=168839name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=176366name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=175774name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=169032name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=173508name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=175774name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=169110name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=173752name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=175873name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=169153name=ultimatelyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=179309name=applyelapsed=0.051 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=174024name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=169164name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=174189name=ultimatelyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=181494name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=174200name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=181578name=fixelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=180914name=applyelapsed=0.054 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=174604name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=181628name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=174772name=haveelapsed=0.025 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=214613name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=215753name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=216846name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=214856name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=215856name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=217991name=byelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=216935name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=214921name=finallyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=216099name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=214929name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=217040name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=216156name=finallyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=218430name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=216164name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=217133name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=218521name=applyelapsed=0.030 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=7200name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=217206name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=218595name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=219243name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=217289name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=219324name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=219706name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=219364name=showelapsed=0.021 ### Rule already declared as introduction (intro) ### open {} ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=220174name=obtainelapsed=0.028 ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) ML_statistics = :now=1466031588.18tasks_ready=7927tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=53size_allocation=2341470208size_allocation_free=262107176size_heap=4166930432size_heap_free_last_full_GC=0size_heap_free_last_GC=2342021472threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=352.596time_GC=12.94user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### closed UNIV ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=220334name=showelapsed=0.031 ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Rule already declared as introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Rule already declared as introduction (intro) ### closed ?S \ open (- ?S) ### Rule already declared as introduction (intro) ### open ?S \ closed (- ?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=220599name=byelapsed=0.155 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=219889name=byelapsed=0.198 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=7357name=byelapsed=0.111 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=221148name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=7423name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=221621name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=221944name=byelapsed=0.060 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=222538name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=223650name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=224083name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=223186name=byelapsed=0.066 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=224397name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=224179name=finallyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=226082name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=218237name=byelapsed=0.468 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=224460name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=224187name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=226145name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=225833name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=7900name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=227893name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=228146name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=227518name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=227943name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=228435name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=228518name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=8076name=fixelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=228021name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=229141name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=229660name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=229434name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=8088name=fixelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=229911name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=232712name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=8153name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=229950name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=232168name=applyelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=232824name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=5920name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=235039name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=235642name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=232896name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=235739name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=237228name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=239401name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=232996name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=237325name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=239498name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=240598name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=239590name=finallyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=238426name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=240665name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=240290name=applyelapsed=0.062 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=242443name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=239598name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=238426name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=246248name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=238556name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=242952name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=247385name=showelapsed=0.018 ML_statistics = :now=1466031588.76tasks_ready=7916tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=54size_allocation=2307915776size_allocation_free=1618521512size_heap=4180561920size_heap_free_last_full_GC=0size_heap_free_last_GC=2308820264threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=354.56time_GC=13.032user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=238736name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=244321name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=246449name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=238989name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=244321name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=9123name=byelapsed=0.047 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=253452name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=6518name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=255451name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=253516name=fixelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=244377name=letelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=244435name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=258267name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=255516name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=253545name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=244545name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=258267name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=255516name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=253944name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=255632name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=258307name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=244616name=ultimatelyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=258959name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=258405name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=244627name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=255695name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=259016name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=258578name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=255800name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=259758name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=259331name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=261506name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=258661name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=255912name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=259425name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=261714name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=6609name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=6650name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=256017name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=262122name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=262615name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=256153name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=263467name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=265587name=byelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=262722name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=263546name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=256297name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=265787name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=262875name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=263714name=fixelapsed=0.024 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=318959name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=323011name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=325692name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=326890name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=319283name=finallyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=323107name=ultimatelyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=325952name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=326981name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=319291name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=323118name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=327631name=applyelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=326050name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=327644name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=319329name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=323240name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=16219name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=326133name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=319454name=fixelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=323272name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=326511name=ultimatelyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=319491name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=324010name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=326522name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=16856name=byelapsed=0.070 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=319645name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=327964name=applyelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=328447name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=319645name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=319817name=fixelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=319855name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=319965name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=320109name=obtainelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=320109name=obtainelapsed=0.030 ML_statistics = :now=1466031593.03tasks_ready=8171tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=56size_allocation=2287992832size_allocation_free=2287992832size_heap=4175319040size_heap_free_last_full_GC=0size_heap_free_last_GC=2290016536threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=370.636time_GC=13.312user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=329171name=byelapsed=0.367 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=320230name=haveelapsed=0.186 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=328831name=byelapsed=0.381 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=320328name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=17102name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=320513name=fixelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=17164name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=16303name=byelapsed=0.084 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=320550name=obtainelapsed=0.037 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=17263name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=332522name=applyelapsed=0.019 ### Ignoring duplicate rewrite rule: ### affine hull (convex hull ?S1) \ affine hull ?S1 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=17305name=nextelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=320550name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=332752name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=17341name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=320760name=fixelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=333231name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=17389name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=320790name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=333306name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=17457name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=320923name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=333306name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=17556name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=321154name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=333545name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=17606name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=321287name=ultimatelyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=333612name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=17647name=letelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=321298name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=333778name=finallyelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=17682name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=333786name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=17769name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=17840name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=333861name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=17927name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=334343name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=14082name=applyelapsed=0.094 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=17997name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=334702name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=18078name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=334950name=showelapsed=0.032 ML_statistics = :now=1466031593.54tasks_ready=8193tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=56size_allocation=2287992832size_allocation_free=1450614240size_heap=4175319040size_heap_free_last_full_GC=0size_heap_free_last_GC=2290016536threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=372.232time_GC=13.312user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=18124name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=335639name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=328185name=applyelapsed=0.884 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=18256name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=14300name=applyelapsed=0.123 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=335685name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=18370name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=335759name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=18585name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=336140name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=18705name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=336994name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=18926name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=20262name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=19039name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=337205name=byelapsed=0.052 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=19237name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=337694name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=19442name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=338040name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=14563name=byelapsed=0.282 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=20379name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=19606name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=338770name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=339665name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=19690name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=340489name=fixelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=341666name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=19766name=finallyelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=14481name=applyelapsed=0.335 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=15612name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=342051name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=19774name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=340499name=haveelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=343260name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=342366name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=340855name=fixelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=343579name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=17666name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=342739name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=343795name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=344446name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=340867name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=342826name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=343907name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=344496name=obtainelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=341192name=ultimatelyelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=342911name=showelapsed=0.023 ML_statistics = :now=1466031594.04tasks_ready=8203tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=56size_allocation=2287992832size_allocation_free=650413976size_heap=4175319040size_heap_free_last_full_GC=0size_heap_free_last_GC=2290016536threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=373.828time_GC=13.312user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=345443name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=344496name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=341203name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=345981name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=344534name=fixelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=346211name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=344599name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=344939name=fixelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=346443name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=17744name=byelapsed=0.082 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=345632name=byelapsed=0.093 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=346714name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=345011name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=347207name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=345287name=ultimatelyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=347370name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=347536name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=345300name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=347816name=haveelapsed=0.025 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=21658name=byelapsed=0.263 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=34826name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=32690name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=29694name=henceelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=30561name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=34928name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=30286name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=29825name=thuselapsed=0.022 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=35488name=proofelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=30357name=fixelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=35526name=fixelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=36259name=proofelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=30396name=thuselapsed=0.023 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=35627name=haveelapsed=0.022 ML_statistics = :now=1466031599.25tasks_ready=8195tasks_pending=0tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=59size_allocation=2262827008size_allocation_free=247622544size_heap=4182659072size_heap_free_last_full_GC=0size_heap_free_last_GC=2264625728threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=394.444time_GC=13.544user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=36297name=fixelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=35742name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=31234name=fixelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=36398name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=31277name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=37431name=letelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=36516name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=31386name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=37477name=letelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=37518name=fixelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=31480name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=30703name=byelapsed=0.162 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=1762name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=31564name=henceelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=37737name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=2135name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=37829name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=31633name=finallyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=3485name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=37914name=haveelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=2135name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=31641name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=3611name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=3785name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=38093name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=2197name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=4042name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=4225name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=38225name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=2259name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=38326name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=4613name=byelapsed=0.031 command_timing = :file=~~/src/HOL/Library/Nonpos_Ints.thyoffset=3605name=byelapsed=0.134 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=38379name=showelapsed=0.152 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=5221name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=4970name=byelapsed=0.219 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=7094name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=7565name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=8187name=applyelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=7832name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=8606name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=7887name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=8760name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=8965name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=9208name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=11333name=byelapsed=0.047 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=9278name=fixelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=4465name=byelapsed=0.407 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=9332name=haveelapsed=0.025 ML_statistics = :now=1466031599.86tasks_ready=8134tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=60size_allocation=2247098368size_allocation_free=2247098368size_heap=4177416192size_heap_free_last_full_GC=0size_heap_free_last_GC=2248078368threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=395.392time_GC=13.668user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=9443name=fixelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=12851name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=9497name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=9612name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=12946name=byelapsed=0.045 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=13660name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=14084name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=14297name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=11703name=applyelapsed=0.212 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=39899name=byelapsed=0.081 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=14664name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=11812name=applyelapsed=0.098 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=14742name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=14924name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=15131name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=11918name=applyelapsed=0.095 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=15359name=showelapsed=0.032 ### Ignoring duplicate rewrite rule: ### pathfinish ?g1.1 = pathstart ?g2.1 \ ### path (?g1.1 +++ ?g2.1) \ path ?g1.1 \ path ?g2.1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=15916name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=17735name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=15992name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=17811name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=17979name=fixelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=16192name=fixelapsed=0.029 ML_statistics = :now=1466031600.36tasks_ready=8135tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=60size_allocation=2247098368size_allocation_free=1539229368size_heap=4177416192size_heap_free_last_full_GC=0size_heap_free_last_GC=2248078368threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=396.992time_GC=13.668user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=18089name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=16334name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=18244name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=16489name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=18353name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=16702name=fixelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=18861name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=16811name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=40058name=byelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=16962name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=19242name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=17187name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=19308name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=21058name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=40133name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=19379name=obtainelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=21493name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=19379name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=21576name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=19627name=obtainelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=21805name=ultimatelyelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=19627name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=21816name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=19963name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=21872name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=20067name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=21958name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=20184name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=8223name=applyelapsed=1.100 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=22040name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=23017name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=20294name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=22306name=ultimatelyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=23299name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=20427name=haveelapsed=0.028 ML_statistics = :now=1466031600.86tasks_ready=8152tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=60size_allocation=2247098368size_allocation_free=349874272size_heap=4177416192size_heap_free_last_full_GC=0size_heap_free_last_GC=2248078368threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=400.18time_GC=13.668user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=22317name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=23366name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=20525name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=22373name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=23547name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=20741name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=22583name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=20832name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=23764name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=22745name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=23890name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=24341name=byelapsed=0.051 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=24025name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=24792name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=40183name=byelapsed=0.057 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=25688name=fixelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=27541name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=25893name=haveelapsed=0.081 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=28012name=showelapsed=0.083 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=13193name=applyelapsed=1.231 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=25989name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=13301name=applyelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=29040name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=13339name=applyelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=26050name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=13401name=applyelapsed=0.021 ### Metis: Unused theorems: "Real.less_eq_real_def" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=29170name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=13450name=applyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=29529name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=30981name=haveelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=29771name=fixelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=31194name=fixelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=29861name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=30082name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=31284name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=26639name=byelapsed=0.320 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=30182name=ultimatelyelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=31489name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=32538name=byelapsed=0.030 ML_statistics = :now=1466031601.37tasks_ready=8151tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=61size_allocation=2226126848size_allocation_free=2226126848size_heap=4184756224size_heap_free_last_full_GC=0size_heap_free_last_GC=2227851168threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=401.22time_GC=13.72user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=32688name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=30193name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=31589name=ultimatelyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=31600name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=30244name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=30576name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=31676name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=30646name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=31955name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=33094name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=33313name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=33793name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=33185name=applyelapsed=0.057 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=32930name=applyelapsed=0.165 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=34026name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=35565name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=34127name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=36172name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=35800name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=41801name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=36430name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=34234name=obtainelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=37186name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=34234name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=37911name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=37342name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=34436name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=38198name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=34550name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=39607name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=40504name=byelapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=34591name=fixelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=39732name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=34624name=obtainelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=40779name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=42372name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=42502name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=34624name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=41292name=showelapsed=0.028 ### Ignoring duplicate rewrite rule: ### ?a1 \ ?b1 \ arc (linepath ?a1 ?b1) \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=42761name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=32258name=applyelapsed=0.587 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=34809name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=42848name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=34923name=haveelapsed=0.032 ML_statistics = :now=1466031601.87tasks_ready=8148tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=61size_allocation=2226126848size_allocation_free=1506393792size_heap=4184756224size_heap_free_last_full_GC=0size_heap_free_last_GC=2227851168threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=402.82time_GC=13.72user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=43602name=byelapsed=0.053 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=42886name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=44047name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=35049name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=44439name=showelapsed=0.027 ### Ignoring duplicate rewrite rule: ### midpoint ?a1 ?b1 = ?a1 \ ?a1 = ?b1 ### Ignoring duplicate rewrite rule: ### midpoint ?a1 ?b1 = ?b1 \ ?a1 = ?b1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=44697name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=35138name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=45799name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=45278name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=45909name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=45508name=showelapsed=0.029 ### Rule already declared as introduction (intro) ### open {} ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=45969name=ultimatelyelapsed=0.027 ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=46540name=byelapsed=0.072 ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### closed UNIV ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=45980name=showelapsed=0.029 ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Rule already declared as introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Rule already declared as introduction (intro) ### closed ?S \ open (- ?S) ### Rule already declared as introduction (intro) ### open ?S \ closed (- ?S) ### Rule already declared as introduction (intro) ### continuous_on ?s (linepath ?a ?b) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=47858name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=46699name=applyelapsed=0.069 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=49089name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=48391name=byelapsed=0.055 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=48120name=byelapsed=0.095 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=50078name=obtainelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=51392name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=50078name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=51516name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=50148name=obtainelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=51516name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=50148name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=51616name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=50309name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=52385name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=50404name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=52385name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=49739name=byelapsed=0.237 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=50529name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=52486name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=53442name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=55160name=byelapsed=0.014 ML_statistics = :now=1466031602.38tasks_ready=8136tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=61size_allocation=2226126848size_allocation_free=378978464size_heap=4184756224size_heap_free_last_full_GC=0size_heap_free_last_GC=2227851168threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=406.012time_GC=13.72user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=50677name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=54170name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=50867name=ultimatelyelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=54170name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=55823name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=50878name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=54274name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=55823name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=54274name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=56444name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=55869name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=54417name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=56574name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=57052name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=56725name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=58144name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=58246name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=59138name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=58814name=applyelapsed=0.054 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=59347name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=58351name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=58641name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=58974name=byelapsed=0.054 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=59565name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=59784name=showelapsed=0.105 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=60834name=byelapsed=0.099 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=60549name=applyelapsed=0.113 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=44338name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=63207name=applyelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=44338name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=63261name=applyelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=63473name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=44395name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=63551name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=63640name=applyelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=63914name=applyelapsed=0.048 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=64210name=byelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=61029name=proofelapsed=0.151 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=64621name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=65659name=haveelapsed=0.029 ML_statistics = :now=1466031602.92tasks_ready=8132tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=62size_allocation=2230321152size_allocation_free=2230321152size_heap=4185804800size_heap_free_last_full_GC=0size_heap_free_last_GC=2231086440threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=407.32time_GC=13.788user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=61150name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=64818name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=66041name=obtainelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=61150name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=64990name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=66041name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=61327name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=66911name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=66154name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=61327name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=61504name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=66967name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=66154name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=61700name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=67048name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=66264name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=61887name=ultimatelyelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=67131name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=66344name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=61898name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=67436name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=66387name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=66458name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=62017name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=67676name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=66569name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=62190name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=67773name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=66670name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=62294name=finallyelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=68325name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=66701name=finallyelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=62302name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=68407name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=66709name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=68407name=obtainelapsed=0.027 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=102346name=ultimatelyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=103716name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=97365name=fixelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=102357name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=97473name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=104572name=byelapsed=0.050 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=102429name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=97601name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=1036name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=97744name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=105417name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=97920name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=105417name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=104340name=byelapsed=0.169 ML_statistics = 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command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=107834name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=109685name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=107875name=considerelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=109731name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=1161name=byelapsed=0.095 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=107967name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=109731name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=111200name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=112634name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=109783name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=111246name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=110637name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=1598name=byelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=111246name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=112957name=applyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=113279name=applyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=111299name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=1690name=byelapsed=0.022 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=118015name=applyelapsed=0.065 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=114590name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=118059name=applyelapsed=0.107 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=114713name=haveelapsed=0.099 ML_statistics = :now=1466031606.01tasks_ready=8174tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=64size_allocation=2210398208size_allocation_free=2210398208size_heap=4186853376size_heap_free_last_full_GC=0size_heap_free_last_GC=2211332032threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=419.556time_GC=13.928user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=118077name=applyelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=114760name=obtainelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=118847name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=114760name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=118939name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=114845name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=118495name=applyelapsed=0.293 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=118939name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=114845name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=118553name=applyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=115103name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=118973name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=120336name=applyelapsed=0.023 ### Ignoring duplicate introduction (intro) ### open {} ### Ignoring duplicate introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Ignoring duplicate introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=115209name=haveelapsed=0.032 ### Ignoring duplicate introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### closed {} ### Ignoring duplicate introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Ignoring duplicate introduction (intro) ### closed UNIV ### Ignoring duplicate introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=120659name=obtainelapsed=0.030 ### Ignoring duplicate introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Ignoring duplicate introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) ### Ignoring duplicate introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Ignoring duplicate introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Ignoring duplicate introduction (intro) ### closed ?S \ open (- ?S) ### Ignoring duplicate introduction (intro) ### open ?S \ closed (- ?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=115261name=haveelapsed=0.032 ### Ignoring duplicate introduction (intro) ### continuous_on ?s (linepath ?a ?b) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=120459name=byelapsed=0.078 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=120844name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=3068name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=115340name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=120982name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=121122name=byelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=115456name=ultimatelyelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=121608name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=121309name=byelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=115467name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=121849name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=3185name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=115529name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=122059name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=115695name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=122334name=applyelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=115871name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=117449name=applyelapsed=0.589 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=122464name=applyelapsed=0.049 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=117470name=applyelapsed=0.053 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=121674name=applyelapsed=0.189 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=3686name=byelapsed=0.085 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=117509name=applyelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=3313name=byelapsed=0.032 ML_statistics = :now=1466031606.51tasks_ready=8173tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=64size_allocation=2210398208size_allocation_free=1614661712size_heap=4186853376size_heap_free_last_full_GC=0size_heap_free_last_GC=2211332032threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=421.148time_GC=13.928user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=117549name=applyelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=122870name=byelapsed=0.058 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=123061name=applyelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=3801name=byelapsed=0.047 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=4154name=byelapsed=0.049 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=123168name=applyelapsed=0.043 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=123573name=byelapsed=0.043 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=123877name=applyelapsed=0.049 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=4344name=byelapsed=0.058 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=122608name=applyelapsed=0.274 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=124270name=byelapsed=0.060 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=124719name=applyelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=125027name=applyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=123312name=applyelapsed=0.166 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=124810name=applyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=125500name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=125586name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=126054name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=128251name=applyelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=126317name=fixelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=128358name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=126350name=assumeelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=126691name=defineelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=6553name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=6589name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=126848name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=129105name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=126950name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=129288name=byelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=127244name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=129474name=byelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=127326name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=124059name=applyelapsed=0.369 ML_statistics = :now=1466031607.01tasks_ready=8154tasks_pending=0tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=64size_allocation=2210398208size_allocation_free=721870368size_heap=4186853376size_heap_free_last_full_GC=0size_heap_free_last_GC=2211332032threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=422.736time_GC=13.928user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=125157name=applyelapsed=0.266 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=127396name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=5314name=fixelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=127468name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=5398name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=127629name=ultimatelyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=5497name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=127640name=haveelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=127883name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=5713name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=5903name=haveelapsed=0.084 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=6016name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=6105name=finallyelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=130175name=byelapsed=0.308 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=6113name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=6247name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=6996name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=7090name=nextelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=7177name=obtainelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=124139name=applyelapsed=0.453 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=7177name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=131408name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=7310name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=130903name=applyelapsed=0.171 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=131523name=haveelapsed=0.030 ML_statistics = :now=1466031607.52tasks_ready=8157tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=65size_allocation=2205155328size_allocation_free=2205155328size_heap=4186853376size_heap_free_last_full_GC=0size_heap_free_last_GC=2206393240threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=424.38time_GC=13.98user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=133336name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=131596name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=130629name=byelapsed=0.397 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=133463name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=134008name=applyelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=134435name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=131708name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=134607name=applyelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=131808name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=132757name=byelapsed=0.146 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=131957name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=132557name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=8468name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=8468name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=8575name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=8575name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=135181name=applyelapsed=0.095 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=8674name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=135671name=applyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=8784name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=8884name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=135742name=applyelapsed=0.044 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=134175name=applyelapsed=0.290 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=8950name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=136480name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=9080name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=9322name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=9401name=qedelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=136696name=applyelapsed=0.081 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=137624name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=10768name=byelapsed=0.021 ML_statistics = :now=1466031608.03tasks_ready=8159tasks_pending=0tasks_running=6tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=65size_allocation=2205155328size_allocation_free=453692712size_heap=4186853376size_heap_free_last_full_GC=0size_heap_free_last_GC=2206393240threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=427.568time_GC=13.98user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=136028name=byelapsed=0.266 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=138780name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=10482name=byelapsed=0.067 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=139379name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=136841name=applyelapsed=0.281 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=10969name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=140538name=applyelapsed=0.089 ML_statistics = :now=1466031608.56tasks_ready=8143tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=66size_allocation=2197815296size_allocation_free=2197815296size_heap=4187901952size_heap_free_last_full_GC=0size_heap_free_last_GC=2199080656threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=428.12time_GC=14.032user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=141153name=byelapsed=0.246 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=140190name=byelapsed=0.380 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=141477name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=145854name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=141562name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=145938name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=146294name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=141637name=obtainelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=141637name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=146632name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=142018name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=146855name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=147244name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=142229name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=147350name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=142319name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=148044name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=142560name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=142937name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=149095name=ultimatelyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=143055name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=149106name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=149632name=applyelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=143271name=haveelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=143763name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=149891name=applyelapsed=0.144 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=150210name=applyelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=143923name=haveelapsed=0.120 ML_statistics = :now=1466031609.12tasks_ready=8161tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=67size_allocation=2192572416size_allocation_free=2192572416size_heap=4181610496size_heap_free_last_full_GC=0size_heap_free_last_GC=2193515904threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=431.22time_GC=14.112user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=144349name=haveelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=145068name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=145377name=ultimatelyelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=145388name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Euclidean_Space.thyoffset=4589name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=10384name=byelapsed=1.286 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Euclidean_Space.thyoffset=4589name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=150766name=applyelapsed=0.018 ### Rule already declared as introduction (intro) ### open {} command_timing = :file=~~/src/HOL/Multivariate_Analysis/Euclidean_Space.thyoffset=4746name=haveelapsed=0.027 ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### closed UNIV ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Euclidean_Space.thyoffset=4855name=haveelapsed=0.027 ### Rule already declared as introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Rule already declared as introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Rule already declared as introduction (intro) ### closed ?S \ open (- ?S) ### Rule already declared as introduction (intro) ### open ?S \ closed (- ?S) ### Rule already declared as introduction (intro) ### continuous_on ?s (linepath ?a ?b) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Euclidean_Space.thyoffset=4939name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Euclidean_Space.thyoffset=5042name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=151396name=byelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=151753name=byelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=152161name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=150409name=applyelapsed=0.451 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=152317name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Euclidean_Space.thyoffset=6151name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=152872name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=153655name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=153028name=showelapsed=0.028 ML_statistics = :now=1466031609.62tasks_ready=8163tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=67size_allocation=2192572416size_allocation_free=1216176624size_heap=4181610496size_heap_free_last_full_GC=0size_heap_free_last_GC=2193515904threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=432.816time_GC=14.112user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=153854name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=150940name=applyelapsed=0.328 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=153903name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Euclidean_Space.thyoffset=6565name=byelapsed=0.086 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=155978name=haveelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=156260name=haveelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=156802name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=151058name=applyelapsed=0.201 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=157099name=finallyelapsed=0.029 ### Metis: Unused theorems: "Path_Connected.homotopic_join_subpaths2", "Path_Connected.homotopic_join_subpaths3" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=157107name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=157191name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=157743name=applyelapsed=0.014 ### Metis: Unused theorems: "Path_Connected.homotopic_join_subpaths3" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=134853name=applyelapsed=2.355 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=158172name=applyelapsed=0.078 ### Metis: Unused theorems: "Path_Connected.homotopic_join_subpaths2" ### Metis: Unused theorems: "Path_Connected.homotopic_join_subpaths2" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=157547name=byelapsed=0.243 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=155187name=byelapsed=0.450 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=158873name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=160111name=applyelapsed=0.014 ML_statistics = :now=1466031610.16tasks_ready=8157tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=68size_allocation=2174746624size_allocation_free=2174746624size_heap=4185804800size_heap_free_last_full_GC=0size_heap_free_last_GC=2175230160threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=434.88time_GC=14.176user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=160230name=applyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=160626name=applyelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=160893name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=160284name=applyelapsed=0.047 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=161249name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=157995name=applyelapsed=0.273 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=162166name=applyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=161296name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=3658name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=161296name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=161330name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=162821name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=158433name=applyelapsed=0.224 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=162264name=byelapsed=0.080 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=166225name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=163094name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=166642name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=4441name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=164302name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=168069name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=166684name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=168746name=applyelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=168186name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=164366name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=169058name=applyelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=166684name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=166806name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=168310name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=169464name=obtainelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=168443name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=166929name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=169651name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=5179name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=171475name=obtainelapsed=0.028 ### Ignoring duplicate rewrite rule: ### continuous_on {} ?f1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=169651name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=173812name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=171589name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=169838name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=170172name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=173892name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=171865name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=174805name=obtainelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=172326name=byelapsed=0.097 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=176107name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=174805name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=176224name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=175085name=obtainelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=176372name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=175085name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=175365name=showelapsed=0.031 ML_statistics = :now=1466031610.66tasks_ready=8140tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=68size_allocation=2174746624size_allocation_free=1504627832size_heap=4185804800size_heap_free_last_full_GC=0size_heap_free_last_GC=2175230160threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=436.46time_GC=14.176user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=178075name=byelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=178275name=applyelapsed=0.048 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=177815name=byelapsed=0.186 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=6061name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=178939name=applyelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=179084name=applyelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=177509name=byelapsed=0.379 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=179466name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=179466name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=182215name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=179545name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=182318name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=182936name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=179568name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=183263name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=183646name=proofelapsed=0.061 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=179750name=haveelapsed=0.084 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=178617name=applyelapsed=0.354 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=179932name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=183771name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=178652name=applyelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=183838name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=180219name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=183977name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=180219name=obtainelapsed=0.025 ML_statistics = :now=1466031611.18tasks_ready=8131tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=69size_allocation=2171600896size_allocation_free=2171600896size_heap=4187901952size_heap_free_last_full_GC=0size_heap_free_last_GC=2172075208threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=438.7time_GC=14.232user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=185219name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=180411name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=183977name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=185461name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=180453name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=184056name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=7259name=henceelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=184056name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=180531name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=7336name=henceelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=7373name=thuselapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=184268name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=180631name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=180719name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=6830name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=186396name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=8657name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=180825name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=186795name=applyelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=9498name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=187305name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=181002name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=10449name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=187695name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=181216name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=6874name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=181445name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=188410name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=189532name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=189835name=applyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=188541name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=189139name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=190172name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=190439name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=191093name=obtainelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=193219name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=191093name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=193736name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=191282name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=192385name=showelapsed=0.029 ML_statistics = :now=1466031611.68tasks_ready=8142tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=69size_allocation=2171600896size_allocation_free=1495554936size_heap=4187901952size_heap_free_last_full_GC=0size_heap_free_last_GC=2172075208threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=440.244time_GC=14.232user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=192445name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=194700name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=194489name=byelapsed=0.110 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=194965name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=195868name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=197241name=byelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=195975name=obtainelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=195975name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=196166name=obtainelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=196166name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=196366name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=196495name=haveelapsed=0.089 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=196645name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=196794name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=197443name=byelapsed=0.402 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=11313name=byelapsed=0.013 ML_statistics = :now=1466031612.23tasks_ready=8139tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=70size_allocation=2167406592size_allocation_free=2167406592size_heap=4186853376size_heap_free_last_full_GC=0size_heap_free_last_GC=2167899888threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=442.18time_GC=14.292user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=198359name=assumeelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=198537name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=198634name=obtainelapsed=0.043 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=198634name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=187944name=applyelapsed=0.980 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=198835name=obtainelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=199922name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=198835name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=199045name=haveelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=199179name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=199283name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=199446name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=197720name=byelapsed=0.459 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=200831name=byelapsed=0.091 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=201228name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=200258name=byelapsed=0.313 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=201306name=haveelapsed=0.031 ML_statistics = 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:file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=24631name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=35775name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=40120name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=33447name=finallyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=25172name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=35808name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=40120name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=25283name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=40271name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=33455name=obtainelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=35808name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=35893name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=25373name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=40313name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=33455name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=35976name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=25490name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=40363name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=33909name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=36070name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=25621name=finallyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=40955name=finallyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=34315name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=40963name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=25629name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=34482name=finallyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=36141name=finallyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=41003name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=34490name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=25694name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=36149name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=41229name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=41573name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=36209name=obtainelapsed=0.033 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=9734name=fixelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=41759name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=36209name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=9781name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=41759name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=36590name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=36590name=haveelapsed=0.129 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=43823name=byelapsed=0.224 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=44204name=obtainelapsed=0.155 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=41887name=haveelapsed=0.155 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=44368name=letelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=46517name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=36670name=obtainelapsed=0.045 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=41944name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=44405name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=46589name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=36670name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=42103name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=44477name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=46691name=haveelapsed=0.030 ML_statistics = :now=1466031616.96tasks_ready=8328tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=73size_allocation=2139095040size_allocation_free=2139095040size_heap=4177416192size_heap_free_last_full_GC=0size_heap_free_last_GC=2139795920threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=460.444time_GC=14.544user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=37053name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=42279name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=44477name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=47269name=ultimatelyelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=37216name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=42398name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=44692name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=47280name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=37324name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=42507name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=44885name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=47318name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=42650name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=37607name=obtainelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=45099name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=47646name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=42761name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=37607name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=45237name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=47712name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=37722name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=42937name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=45349name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=47712name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=43191name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=37816name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=47801name=letelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=45584name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=43377name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=45615name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=47841name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=37915name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=43538name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=45688name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=48136name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=37998name=finallyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=48401name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=45760name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=38006name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=48910name=byelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=46033name=finallyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=49864name=applyelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=50289name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=38102name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=50335name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=46041name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=49930name=applyelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=38211name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=50761name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=38323name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=50851name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=11253name=fixelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=38480name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=49966name=applyelapsed=0.067 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=51222name=haveelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=11259name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=38710name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=51598name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=11619name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=38798name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=11954name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=51660name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=50377name=byelapsed=0.163 ### Legacy feature! Old 'def' command -- use 'define' instead command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=39163name=finallyelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=12047name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=53305name=showelapsed=0.022 ML_statistics = :now=1466031617.46tasks_ready=8363tasks_pending=0tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=73size_allocation=2139095040size_allocation_free=1912774408size_heap=4177416192size_heap_free_last_full_GC=0size_heap_free_last_GC=2139795920threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=462.04time_GC=14.544user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=53961name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=12125name=finallyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=39171name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=56725name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=54029name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=12133name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=39228name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=13300name=fixelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=54143name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=13551name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=619name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=13306name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=55789name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=8710name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=868name=applyelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=55941name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=13834name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=1395name=applyelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=56071name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=14010name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=1465name=applyelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=1222name=applyelapsed=0.069 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=56137name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=2238name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=14422name=fixelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=1505name=applyelapsed=0.052 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=2747name=obtainelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=2283name=finallyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=7670name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=14428name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=2747name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=7858name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=2291name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=14899name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=15801name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=7995name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=2841name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=8287name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=2871name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=10355name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=17878name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=10016name=obtainelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=10389name=nextelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=2980name=obtainelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=10016name=obtainelapsed=0.028 command_timing = 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command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=95221name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=98731name=thuselapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=102184name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=78803name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=96239name=ultimatelyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=98808name=letelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=102184name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=78865name=nextelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=78927name=haveelapsed=0.019 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=84763name=finallyelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=88347name=applyelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=100041name=ultimatelyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=103107name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=88541name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=84771name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=100052name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=103176name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=88591name=byelapsed=0.012 command_timing = 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command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=24792name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=98052name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=23889name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=98085name=nextelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=24842name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=28000name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=23962name=haveelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=28084name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=24001name=ultimatelyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=98124name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=24888name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=24012name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=28143name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=98124name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=24950name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=98189name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=28434name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=25002name=fixelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=28678name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=29402name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=25056name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=33875name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=30682name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=29458name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=25122name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=33875name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=30828name=fixelapsed=0.023 command_timing = 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= :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=279919name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=277750name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=14835name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=248808name=guesselapsed=0.044 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=280445name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=283291name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=14835name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=248817name=..elapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=283696name=letelapsed=0.022 command_timing = 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command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=15078name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=280989name=letelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=289819name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=281113name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=290461name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=284989name=guesselapsed=0.045 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=291492name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=281295name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=284999name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=294484name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=281499name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=295175name=applyelapsed=0.128 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=295454name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=285075name=guesselapsed=0.168 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=282217name=haveelapsed=0.142 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=282288name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=295798name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=285083name=..elapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=296364name=letelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=285129name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=282451name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=296406name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=282692name=ultimatelyelapsed=0.024 ML_statistics = :now=1466031640.1tasks_ready=8600tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=85size_allocation=1967128576size_allocation_free=1967128576size_heap=4178464768size_heap_free_last_full_GC=0size_heap_free_last_GC=1967799968threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=547.812time_GC=15.796user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=301777name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=282703name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=298276name=guesselapsed=0.050 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=302467name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=298312name=..elapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=308170name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=298402name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=310633name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=18098name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=302538name=guesselapsed=0.050 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=298945name=letelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=311013name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=302552name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=292033name=byelapsed=0.408 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=299026name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=15673name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=311013name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=15772name=fixelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=311160name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=302650name=guesselapsed=0.045 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=299875name=guesselapsed=0.048 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=15811name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=302659name=..elapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=16807name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=299883name=..elapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=299920name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=16914name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=302764name=guesselapsed=0.053 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=18245name=byelapsed=0.080 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=311749name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=313164name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=302773name=..elapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=315177name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=314502name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=312135name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=315552name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=302818name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=316237name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=317428name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=318384name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=327925name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=328269name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=318436name=fixelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=328036name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=327279name=guesselapsed=0.049 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=328306name=letelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=318521name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=329086name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=327287name=..elapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=328326name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=329156name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=327321name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=328384name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=329719name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=329229name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=318685name=guesselapsed=0.051 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=328501name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=330274name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=329318name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=318693name=.elapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=328687name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=329400name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=330418name=haveelapsed=0.028 ML_statistics = :now=1466031640.6tasks_ready=8610tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=85size_allocation=1967128576size_allocation_free=1642382960size_heap=4178464768size_heap_free_last_full_GC=0size_heap_free_last_GC=1967799968threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=549.412time_GC=15.796user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=318778name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=328765name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=329458name=ultimatelyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=330871name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=318832name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=340093name=haveelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=329469name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=346201name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=329497name=ultimatelyelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=318891name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=331141name=guesselapsed=0.053 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=329508name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=346384name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=331149name=..elapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=319835name=guesselapsed=0.047 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=346539name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=348327name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=331166name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=319844name=..elapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=347740name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=348390name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=331596name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=319876name=letelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=348661name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=339617name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=349205name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=319903name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=348749name=ultimatelyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=339696name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=349456name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=348760name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=321391name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=349891name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=355107name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=322305name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=351234name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=44465name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=323332name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=351728name=haveelapsed=0.035 ### Introduced fixed type variable(s): 'b in "cp__" or "cr__" or "i__" or "ip__" or "ir__" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=357072name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=44701name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=323918name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=353253name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=357474name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=358933name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=353300name=fixelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=324258name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=357739name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=359028name=letelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=353338name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=324388name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=359056name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=357944name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=358113name=finallyelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=325920name=finallyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=377132name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=353630name=guesselapsed=0.050 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=325928name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=358121name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=377248name=letelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=353639name=..elapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=377276name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=383587name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=385821name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=385992name=fixelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=377551name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=383710name=showelapsed=0.022 ML_statistics = :now=1466031641.1tasks_ready=8634tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=85size_allocation=1967128576size_allocation_free=1457648256size_heap=4178464768size_heap_free_last_full_GC=0size_heap_free_last_GC=1967799968threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=551.008time_GC=15.796user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=353783name=guesselapsed=0.049 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=386013name=fixelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=383840name=fixelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=353792name=..elapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=386161name=guesselapsed=0.050 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=384035name=guesselapsed=0.050 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=353918name=guesselapsed=0.049 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=386169name=.elapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=384047name=.elapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=353928name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=384076name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=353980name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=386230name=guesselapsed=0.054 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=388057name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=386238name=..elapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=387633name=byelapsed=0.191 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=388274name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=354051name=guesselapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=386270name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=354059name=..elapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=389363name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=390121name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=390403name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=393527name=applyelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=354091name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=393974name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=395814name=applyelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=390706name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=394203name=fixelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=354162name=guesselapsed=0.050 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=391209name=letelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=391286name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=397992name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=397067name=letelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=399163name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=397185name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=400704name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=398053name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=399244name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=400884name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=402648name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=398161name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=399273name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=402648name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=398161name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=403668name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=399456name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=402700name=haveelapsed=0.027 command_timing = 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command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=398354name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=407366name=qedelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=399539name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=408292name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=398354name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=409781name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=399633name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=408591name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=398446name=obtainelapsed=0.026 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=412583name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=424638name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=420960name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=423678name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=420995name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=425299name=interpretelapsed=0.037 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=46806name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=425341name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=46806name=obtainelapsed=0.023 command_timing = 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:file=~~/src/HOL/Library/Extended_Real.thyoffset=48424name=applyelapsed=0.010 ML_statistics = :now=1466031642.11tasks_ready=8692tasks_pending=1tasks_running=7tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=85size_allocation=1967128576size_allocation_free=644036728size_heap=4178464768size_heap_free_last_full_GC=0size_heap_free_last_GC=1967799968threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=555.8time_GC=15.796user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=427452name=henceelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=427675name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=426725name=byelapsed=0.400 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=426179name=byelapsed=0.432 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=431228name=byelapsed=0.143 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=429523name=haveelapsed=0.169 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=432290name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=430023name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=432614name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=430220name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=432688name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=432815name=fixelapsed=0.025 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=448073name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=448598name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=446336name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=448220name=finallyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=448866name=henceelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=448228name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=452682name=fixelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=449032name=haveelapsed=0.026 ### Ignoring duplicate introduction (intro) ### open {} ### Ignoring duplicate introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Ignoring duplicate introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=452699name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=449131name=haveelapsed=0.029 ### Ignoring duplicate introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### closed {} ### Ignoring duplicate introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Ignoring duplicate introduction (intro) ### closed UNIV ### Ignoring duplicate introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Ignoring duplicate introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Ignoring duplicate 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:file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=28659name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=35156name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=36778name=henceelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=38470name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=30663name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=35287name=fixelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=36858name=letelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=30698name=ultimatelyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=36893name=fixelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=35378name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=30709name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=36905name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=29179name=applyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=35527name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=29243name=applyelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=36967name=henceelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=35636name=finallyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=29287name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=37121name=henceelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=35644name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=37194name=ultimatelyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=35690name=ultimatelyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=37205name=showelapsed=0.029 ML_statistics = :now=1466031645.84tasks_ready=8553tasks_pending=1tasks_running=6tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=88size_allocation=1935671296size_allocation_free=1935671296size_heap=4184756224size_heap_free_last_full_GC=0size_heap_free_last_GC=1936666480threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=568.844time_GC=16.068user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=35701name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=37229name=fixelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=35797name=henceelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=37282name=henceelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=35877name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=37360name=henceelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=37390name=henceelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=37470name=letelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=37505name=fixelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=37517name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=37579name=henceelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=37733name=henceelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=37808name=ultimatelyelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=37819name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=39942name=byelapsed=0.336 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=40501name=byelapsed=0.045 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=39734name=byelapsed=0.525 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=42004name=byelapsed=0.016 ML_statistics = :now=1466031646.34tasks_ready=8543tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=88size_allocation=1935671296size_allocation_free=886571560size_heap=4184756224size_heap_free_last_full_GC=0size_heap_free_last_GC=1936666480threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=572.04time_GC=16.068user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=42152name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=29391name=byelapsed=0.164 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=84529name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=42384name=thuselapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=43130name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=39200name=byelapsed=0.731 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=42724name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=43511name=henceelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=44093name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=44257name=byelapsed=0.022 ### Ignoring duplicate rewrite rule: ### convex {?a1..} \ True ### Ignoring duplicate rewrite rule: ### convex {..?b1} \ True ### Ignoring duplicate rewrite rule: ### convex {?a1<..} \ True ### Ignoring duplicate rewrite rule: ### convex {.. True ### Ignoring duplicate rewrite rule: ### convex {?a1..?b1} \ True ### Ignoring duplicate rewrite rule: ### convex {?a1<..?b1} \ True ### Ignoring duplicate rewrite rule: ### convex {?a1.. True ### Ignoring duplicate rewrite rule: ### convex {?a1<.. True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=42782name=thuselapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=44988name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=43563name=henceelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=45349name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=84919name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=43631name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=45606name=obtainelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=43807name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=45606name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=47306name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=47155name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=45772name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=47434name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=47200name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=47599name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=47237name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=47479name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=48059name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=47524name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=84993name=fixelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=49232name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=85075name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=46762name=byelapsed=0.181 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=49684name=applyelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=85120name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=50262name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=85120name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=50012name=applyelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=50040name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=85200name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=85325name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=85477name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=86194name=applyelapsed=0.129 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=86312name=byelapsed=0.068 ### Ignoring duplicate rewrite rule: ### ?r1 *\<^sub>R ?x1 \ ?y1 \ ?r1 * (?x1 \ ?y1) ### Ignoring duplicate rewrite rule: ### ?x1 \ ?r1 *\<^sub>R ?y1 \ ?r1 * (?x1 \ ?y1) ### Rule already declared as introduction (intro) ### open {} command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=86442name=byelapsed=0.015 ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### closed UNIV ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=50849name=byelapsed=0.135 ### Rule already declared as introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=1563name=haveelapsed=0.032 ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Rule already declared as introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Rule already declared as introduction (intro) ### closed ?S \ open (- ?S) ### Rule already declared as introduction (intro) ### open ?S \ closed (- ?S) ### Ignoring duplicate safe introduction (intro!) ### (\i. ### i \ ?I \ continuous ?F (?f i)) \ ### continuous ?F (\x. \i\?I. ?f i x) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=651name=byelapsed=0.068 ### Rule already declared as introduction (intro) ### continuous_on ?s (linepath ?a ?b) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=1617name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=2649name=byelapsed=0.021 ML_statistics = :now=1466031646.84tasks_ready=8512tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=88size_allocation=1935671296size_allocation_free=298807648size_heap=4184756224size_heap_free_last_full_GC=0size_heap_free_last_GC=1936666480threads_in_ML=4threads_total=11threads_wait_condvar=4threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=573.64time_GC=16.068user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=954name=byelapsed=0.093 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=1703name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=2418name=byelapsed=0.085 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=2861name=byelapsed=0.095 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=3203name=byelapsed=0.062 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=1786name=haveelapsed=0.081 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=3837name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=11615name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=1878name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=3949name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=11689name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=1975name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=4203name=letelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=2165name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=12619name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=13466name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=12619name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=4266name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=13584name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=4516name=fixelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=12736name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=13686name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=18696name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=4623name=obtainelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=13820name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=3047name=byelapsed=0.315 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=4623name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=18897name=obtainelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=4774name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=14236name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=18897name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=20814name=showelapsed=0.025 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=19199name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=14409name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=21184name=fixelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=14696name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=19321name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=5882name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=21240name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=19515name=fixelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=14838name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=6856name=obtainelapsed=0.033 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command_timing = :file=~~/src/HOL/Multivariate_Analysis/Determinants.thyoffset=26378name=finallyelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Determinants.thyoffset=38037name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=19508name=byelapsed=0.083 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=20490name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Determinants.thyoffset=26386name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=21128name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=21384name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=21652name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=21868name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Determinants.thyoffset=38261name=haveelapsed=0.063 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=22090name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=23150name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Determinants.thyoffset=39016name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=23742name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=24000name=applyelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=24228name=applyelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Determinants.thyoffset=39096name=ultimatelyelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=24282name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=24054name=byelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Determinants.thyoffset=39107name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=24790name=byelapsed=0.013 ### Ignoring duplicate rewrite rule: ### op * ?c1 holomorphic_on ?s1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=22534name=byelapsed=0.119 ### Ignoring duplicate rewrite rule: ### (\x. x) holomorphic_on ?s1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=25731name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=25475name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Determinants.thyoffset=39185name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=27126name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=26203name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=27266name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=25532name=finallyelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=26203name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=27531name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=25540name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=28310name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=26306name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=27531name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=28310name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=29090name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=26306name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=27634name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=28413name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=29090name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=26431name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=27634name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=29193name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=28413name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=27745name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=26551name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=29193name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=28524name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=26551name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=28005name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=29304name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=28785name=showelapsed=0.032 ML_statistics = :now=1466031650.52tasks_ready=8625tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=90size_allocation=1924136960size_allocation_free=580893832size_heap=4176367616size_heap_free_last_full_GC=0size_heap_free_last_GC=1925873824threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=587.8time_GC=16.244user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=26658name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=29565name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=29884name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=30774name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=26913name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=31079name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=29884name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=31521name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=29987name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=32055name=byelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=32184name=byelapsed=0.044 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=31681name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=30079name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=32331name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=31876name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=32557name=obtainelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=30079name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=882name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=32557name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=31905name=finallyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=30246name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=31913name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=32706name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=33336name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=33458name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=32859name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=30481name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=1129name=byelapsed=0.026 ### Ignoring duplicate rewrite rule: ### deriv (\w. ?c1) \ \z. 0::?'a1 ### Ignoring duplicate rewrite rule: ### deriv (\w. ?c1) \ \z. 0::?'a1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=1656name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=33689name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=1878name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=33921name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=35077name=obtainelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=2119name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=1509name=byelapsed=0.097 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=2248name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=35077name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=2386name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=35163name=fixelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=36622name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=2732name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=36622name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=35202name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=3970name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=36698name=fixelapsed=0.106 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=35202name=obtainelapsed=0.106 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=4339name=byelapsed=0.093 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=5305name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=36737name=obtainelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=35291name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=35793name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=38247name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=36737name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=38247name=obtainelapsed=0.026 ML_statistics = :now=1466031651.09tasks_ready=8622tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=91size_allocation=1893728256size_allocation_free=1893728256size_heap=4183707648size_heap_free_last_full_GC=0size_heap_free_last_GC=1894832192threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=589.56time_GC=16.324user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=36850name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=6507name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=38394name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=37405name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=38452name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=40631name=applyelapsed=0.048 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=6748name=obtainelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=38644name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=6748name=obtainelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=38644name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=38785name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=6819name=obtainelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=38860name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=6819name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=38957name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=6928name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=39126name=thuselapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=41095name=byelapsed=0.051 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=9251name=thuselapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=41491name=byelapsed=0.072 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=8516name=applyelapsed=0.263 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=41683name=byelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=9518name=byelapsed=0.109 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=10140name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=10463name=ultimatelyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=10474name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=10853name=showelapsed=0.027 ML_statistics = :now=1466031651.59tasks_ready=8626tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=91size_allocation=1893728256size_allocation_free=996415856size_heap=4183707648size_heap_free_last_full_GC=0size_heap_free_last_GC=1894832192threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=591.16time_GC=16.324user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=9875name=byelapsed=0.155 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=42141name=fixelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=42192name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=11190name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=42238name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=15511name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=8627name=byelapsed=0.275 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=15595name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=44274name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=46633name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=17064name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=44614name=fixelapsed=0.029 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=23097name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=66516name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=75443name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=23097name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=23184name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=75489name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=66599name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=23317name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=75633name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=66760name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=23483name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=75798name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=66810name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=75885name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=23543name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=72765name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=75930name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=23543name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=77079name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=23729name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=76055name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=77186name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=23914name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=76055name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=24326name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=76146name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=77250name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=81570name=obtainelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=77393name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=76229name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=81570name=obtainelapsed=0.026 ML_statistics = :now=1466031656.17tasks_ready=8720tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=95size_allocation=1873805312size_allocation_free=944600768size_heap=4187901952size_heap_free_last_full_GC=0size_heap_free_last_GC=1874718728threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=608.244time_GC=16.516user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=76308name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=77498name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=81839name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=77498name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=81839name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=21764name=applyelapsed=0.545 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=77547name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=81922name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=24496name=applyelapsed=0.072 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=82417name=obtainelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=77691name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=81922name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=82417name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=77856name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=82077name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=82686name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=82168name=ultimatelyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=77947name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=82179name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=82686name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=77978name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=82769name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=25053name=applyelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=78103name=obtainelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=78103name=obtainelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=83152name=byelapsed=0.051 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=25145name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=78247name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=25261name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=78331name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=83468name=showelapsed=0.104 Assumptions: exp 1 - 47395032961 / 17435658240 < 0 [exp 1 - 47395032961 / 17435658240 < 0] \ False [\ False] - (exp 1 - 47395032961 / 17435658240) \ exp 1 / 87178291200 [- (exp 1 - 47395032961 / 17435658240) \ exp 1 / 87178291200] exp 1 \ 3 [exp 1 \ 3] \ - (exp 1 - 5837465777 / 2147483648) \ 1 / 4294967296 [\ - (exp 1 - 5837465777 / 2147483648) \ 1 / 4294967296] exp 1 - 5837465777 / 2147483648 < 0 [exp 1 - 5837465777 / 2147483648 < 0] \ False [\ False] Proved: 87178291201 + - (374427909625164595200 * exp 1 - 1017800582801685217280) < - (374427909629459562496 * exp 1 - 1017800582766355456354) + 4294967296 * exp 1 [\ - (exp 1 - 5837465777 / 2147483648) \ 1 / 4294967296, - (exp 1 - 47395032961 / 17435658240) \ exp 1 / 87178291200] ### Linear arithmetic should have refuted the assumptions. ### Please inform Tobias Nipkow. command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=25430name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=78786name=haveelapsed=0.113 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=25475name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=78912name=haveelapsed=0.044 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=24758name=applyelapsed=0.320 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=25584name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=80519name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=25701name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=24771name=applyelapsed=0.060 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=80662name=haveelapsed=0.035 ML_statistics = :now=1466031656.74tasks_ready=8738tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=96size_allocation=1879048192size_allocation_free=1879048192size_heap=4184756224size_heap_free_last_full_GC=0size_heap_free_last_GC=1880047392threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=610.856time_GC=16.588user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ### Metis: Unused theorems: "Complex.Im_rcis" ### Introduced fixed type variable(s): 'b in "Fa__" or "P__" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=25812name=finallyelapsed=0.028 ### Metis: Unused theorems: "Complex.Im_rcis" ### Metis: Unused theorems: "Complex.Re_rcis" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=25820name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=80783name=haveelapsed=0.037 ### Metis: Unused theorems: "Complex.Re_rcis" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=24849name=applyelapsed=0.056 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=84353name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=84622name=obtainelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=80888name=haveelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=25941name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=84622name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=25986name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=81078name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=84893name=obtainelapsed=0.031 Assumptions: exp 1 - 47395032961 / 17435658240 < 0 [exp 1 - 47395032961 / 17435658240 < 0] \ False [\ False] - (exp 1 - 47395032961 / 17435658240) \ exp 1 / 87178291200 [- (exp 1 - 47395032961 / 17435658240) \ exp 1 / 87178291200] exp 1 \ 3 [exp 1 \ 3] \ - (exp 1 - 5837465777 / 2147483648) \ 1 / 4294967296 [\ - (exp 1 - 5837465777 / 2147483648) \ 1 / 4294967296] exp 1 - 5837465777 / 2147483648 < 0 [exp 1 - 5837465777 / 2147483648 < 0] \ False [\ False] Proved: 87178291201 + - (374427909625164595200 * exp 1 - 1017800582801685217280) < - (374427909629459562496 * exp 1 - 1017800582766355456354) + 4294967296 * exp 1 [\ - (exp 1 - 5837465777 / 2147483648) \ 1 / 4294967296, - (exp 1 - 47395032961 / 17435658240) \ exp 1 / 87178291200] ### Linear arithmetic should have refuted the assumptions. ### Please inform Tobias Nipkow. command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=26095name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=81231name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=84893name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=85673name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=26214name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=84976name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=26520name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=26397name=finallyelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=26405name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=85086name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=26565name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=85425name=ultimatelyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=26690name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=85436name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=27260name=byelapsed=0.069 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=26813name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=86343name=obtainelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=27090name=finallyelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=86343name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=27098name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=86612name=obtainelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=86612name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=21857name=applyelapsed=0.910 ### Ignoring duplicate rewrite rule: ### of_real (numeral ?w1) \ numeral ?w1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=86695name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=27456name=applyelapsed=0.158 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=86845name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=890name=byelapsed=0.133 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=86979name=haveelapsed=0.034 ML_statistics = :now=1466031657.24tasks_ready=8748tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=96size_allocation=1879048192size_allocation_free=1214589184size_heap=4184756224size_heap_free_last_full_GC=0size_heap_free_last_GC=1880047392threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=612.46time_GC=16.588user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=27552name=applyelapsed=0.061 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=88118name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=87784name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=27984name=applyelapsed=0.132 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=28463name=applyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=87885name=ultimatelyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=88606name=applyelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=28212name=applyelapsed=0.072 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=87896name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=28271name=applyelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=88706name=byelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=89013name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=28748name=applyelapsed=0.085 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=93117name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=29273name=applyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=89145name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=93240name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=29372name=applyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=89225name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=28304name=byelapsed=0.110 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=93718name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=94513name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=93770name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=94694name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=29385name=byelapsed=0.087 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=93857name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=30056name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=30590name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=30310name=applyelapsed=0.015 ### Ignoring duplicate rewrite rule: ### of_real (numeral ?w1) \ numeral ?w1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=95840name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=96848name=considerelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=95886name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=96916name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=95886name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=30815name=byelapsed=0.081 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=30972name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=96047name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=97546name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=99965name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=29658name=applyelapsed=0.253 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=97625name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=101052name=byelapsed=0.044 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=29706name=applyelapsed=0.013 ML_statistics = 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command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=610name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=1896name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=4988name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=2343name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=654name=thuselapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=2020name=finallyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=5053name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=2493name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=2028name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=3168name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=5256name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=2642name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=5352name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=3318name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=3665name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=2785name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=5435name=finallyelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=3318name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=3765name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=2831name=finallyelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=5443name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=3398name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=2839name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=3917name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=3468name=haveelapsed=0.027 ### Rule already declared as introduction (intro) ### open {} command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=5471name=haveelapsed=0.028 ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=4003name=finallyelapsed=0.026 ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### closed UNIV command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=3514name=finallyelapsed=0.027 ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=6316name=obtainelapsed=0.032 ### Rule already declared as introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=4011name=showelapsed=0.028 ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Rule already declared as introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Rule already declared as introduction (intro) ### closed ?S \ open (- ?S) ### Rule already declared as introduction (intro) ### open ?S \ closed (- ?S) ### Rule already declared as introduction (intro) ### continuous_on ?s (linepath ?a ?b) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=3522name=showelapsed=0.093 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=1158name=byelapsed=0.085 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=6316name=obtainelapsed=0.097 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=5707name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=4678name=byelapsed=0.155 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=6413name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=5055name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=6422name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=7140name=thuselapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=6449name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=5353name=henceelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=6568name=thuselapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=6571name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=5475name=ultimatelyelapsed=0.025 ML_statistics = 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:file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=54384name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=52179name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=55386name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=52866name=ultimatelyelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=52877name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=51811name=henceelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=55883name=applyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=51916name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=56267name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=47913name=applyelapsed=0.154 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=52391name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=47928name=applyelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=52559name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=52972name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=52660name=thuselapsed=0.032 ### Ignoring duplicate rewrite rule: ### vector_derivative (linepath ?a1 ?b1) (at ?x1) \ ?b1 - ?a1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=53114name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=56933name=byelapsed=0.010 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=66184name=fixelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=63410name=applyelapsed=0.047 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=49614name=byelapsed=0.234 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=66258name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=67816name=applyelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=68159name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=66365name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=68651name=showelapsed=0.027 ML_statistics = 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:file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=50233name=finallyelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=66735name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=50241name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=66914name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=69360name=applyelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=67042name=haveelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=50328name=byelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=67308name=showelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=70123name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=49657name=byelapsed=0.241 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=70363name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=50472name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=58145name=thuselapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=71189name=applyelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=49700name=byelapsed=0.274 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=59039name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=59258name=henceelapsed=0.035 ML_statistics = 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:now=1466031683.76tasks_ready=9246tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=115size_allocation=1723858944size_allocation_free=837130912size_heap=4186853376size_heap_free_last_full_GC=0size_heap_free_last_GC=1724633888threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=713.224time_GC=17.852user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=216526name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=229438name=byelapsed=0.017 ### Rule already declared as introduction (intro) ### open {} ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=216613name=haveelapsed=0.034 ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### closed UNIV command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=216705name=haveelapsed=0.033 ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Rule already declared as introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=216792name=haveelapsed=0.031 ### Rule already declared as introduction (intro) ### closed ?S \ open (- ?S) ### Rule already declared as introduction (intro) ### open ?S \ closed (- ?S) ### Rule already declared as introduction (intro) ### continuous_on ?s (linepath ?a ?b) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=216925name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=229651name=applyelapsed=0.138 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=216978name=ultimatelyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=230170name=haveelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=227949name=applyelapsed=0.389 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=216989name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=231061name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=230506name=fixelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=217084name=obtainelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=231417name=thuselapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=217084name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=231600name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=217211name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=230548name=haveelapsed=0.077 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=231641name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=217320name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=230851name=ultimatelyelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=231912name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=230862name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=231992name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=5353name=byelapsed=0.088 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=232416name=showelapsed=0.105 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=217450name=haveelapsed=0.154 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=232872name=showelapsed=0.031 ### Ignoring duplicate introduction (intro) ### open {} ### Ignoring duplicate introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ML_statistics = :now=1466031684.29tasks_ready=9253tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=116size_allocation=1717567488size_allocation_free=1717567488size_heap=4183707648size_heap_free_last_full_GC=0size_heap_free_last_GC=1718229680threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=715.66time_GC=17.924user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ### Ignoring duplicate introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=220304name=obtainelapsed=0.039 ### Ignoring duplicate introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) ### Ignoring duplicate introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### closed {} ### Ignoring duplicate introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Ignoring duplicate introduction (intro) ### closed UNIV ### Ignoring duplicate introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Ignoring duplicate introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=236033name=haveelapsed=0.035 ### Ignoring duplicate introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Ignoring duplicate introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=220304name=obtainelapsed=0.032 ### Ignoring duplicate introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Ignoring duplicate introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Ignoring duplicate introduction (intro) ### closed ?S \ open (- ?S) ### Ignoring duplicate introduction (intro) ### open ?S \ closed (- ?S) ### Ignoring duplicate introduction (intro) ### continuous_on ?s (linepath ?a ?b) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=236193name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=235604name=applyelapsed=0.090 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=220569name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=236304name=ultimatelyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=236933name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=220686name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=236315name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=5500name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=237115name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=6974name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=239802name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=237146name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=240477name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=240625name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=237289name=haveelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=241395name=applyelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=237441name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=240800name=haveelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=241466name=applyelapsed=0.053 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=240871name=finallyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=237545name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=241503name=applyelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=240879name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=237883name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=7029name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=5901name=fixelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=241697name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=238239name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=5992name=henceelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=6060name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=7209name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=238507name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=242469name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=6184name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=7209name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=7299name=henceelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=6240name=finallyelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=6248name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=7420name=henceelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=8988name=byelapsed=0.054 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=7535name=henceelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=242822name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=243573name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=7611name=showelapsed=0.021 ML_statistics = :now=1466031684.79tasks_ready=9255tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=116size_allocation=1717567488size_allocation_free=1136742856size_heap=4183707648size_heap_free_last_full_GC=0size_heap_free_last_GC=1718229680threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=717.256time_GC=17.924user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=9125name=byelapsed=0.084 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=244169name=byelapsed=0.090 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=245005name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=245583name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=245412name=applyelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=245683name=applyelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=243860name=byelapsed=0.198 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=245899name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=247038name=haveelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=245989name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=247580name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=246101name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=246149name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=246251name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=248284name=byelapsed=0.085 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=9247name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=246573name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=246642name=finallyelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=247868name=byelapsed=0.232 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=246650name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=9370name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=248692name=byelapsed=0.107 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=8054name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=9704name=byelapsed=0.056 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=249507name=fixelapsed=0.032 ### Ignoring duplicate rewrite rule: ### of_nat (?m1 ^ ?n1) \ of_nat ?m1 ^ ?n1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=9434name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=3321name=applyelapsed=18.165 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=253055name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=249547name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=9483name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=252805name=byelapsed=0.064 ML_statistics = :now=1466031685.3tasks_ready=9242tasks_pending=1tasks_running=6tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=116size_allocation=1717567488size_allocation_free=451797472size_heap=4183707648size_heap_free_last_full_GC=0size_heap_free_last_GC=1718229680threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=718.852time_GC=17.924user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=8254name=byelapsed=0.088 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=249588name=obtainelapsed=0.120 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=253704name=obtainelapsed=0.110 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=263026name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=9853name=byelapsed=0.167 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=249588name=obtainelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=253704name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=263121name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=263875name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=249910name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=253810name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=267774name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=264018name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=250005name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=253904name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=250554name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=264260name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=254378name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=267957name=byelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=250706name=fixelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=264438name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=254528name=obtainelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=250755name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=264773name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=254528name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=265011name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=250848name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=254651name=haveelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=250994name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=259624name=haveelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=268667name=byelapsed=0.055 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=268182name=byelapsed=0.173 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=251069name=haveelapsed=0.043 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=261423name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=9975name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=269079name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=251721name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=261552name=haveelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=269297name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=252273name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=269923name=obtainelapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=261790name=haveelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=10104name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=271413name=obtainelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=269923name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=262266name=showelapsed=0.029 ML_statistics = :now=1466031685.83tasks_ready=9258tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=117size_allocation=1704984576size_allocation_free=1320276760size_heap=4185804800size_heap_free_last_full_GC=0size_heap_free_last_GC=1706238016threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=721.476time_GC=17.996user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ### Ignoring duplicate rewrite rule: ### deriv (\w. ?c1) \ \z. 0::?'a1 ### Ignoring duplicate rewrite rule: ### deriv (op * ?y2) \ \z. ?y2 command_timing = 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command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=283473name=applyelapsed=0.057 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=15346name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=12376name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=279025name=haveelapsed=0.072 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=15426name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=12494name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=15505name=finallyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=283676name=applyelapsed=0.058 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=12614name=henceelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=2060name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=15513name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=12767name=henceelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=279423name=haveelapsed=0.085 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=2185name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=284119name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=12880name=thuselapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=286265name=haveelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=12988name=nextelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=284234name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=286489name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=279771name=finallyelapsed=0.058 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=284302name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=13046name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=286556name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=279779name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=13746name=showelapsed=0.026 ### Ignoring duplicate rewrite rule: ### (\z. ?c1) holomorphic_on ?s1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=284457name=obtainelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=293870name=obtainelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=284457name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=295278name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=293870name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=284679name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=295398name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=287862name=obtainelapsed=0.077 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=294007name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=295615name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=287862name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=284805name=haveelapsed=0.060 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=294212name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=295685name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=288217name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=296011name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=294474name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=288419name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=284961name=haveelapsed=0.059 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=294700name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=296114name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=288620name=obtainelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=296202name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=285077name=haveelapsed=0.029 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=98007name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=100301name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=86072name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=99252name=obtainelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=100454name=ultimatelyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=100988name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=86950name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=99252name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=100465name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=100988name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=99382name=letelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=87050name=haveelapsed=0.032 ### Legacy feature! Old 'def' command -- use 'define' instead command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=100538name=thuselapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=101103name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=99460name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=101959name=thuselapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=87091name=haveelapsed=0.034 ### Legacy feature! Old 'def' command -- use 'define' instead ### Legacy feature! Old 'def' command -- use 'define' instead command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=101341name=haveelapsed=0.033 ML_statistics = :now=1466031691.54tasks_ready=9578tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=119size_allocation=1689255936size_allocation_free=888617600size_heap=4179513344size_heap_free_last_full_GC=0size_heap_free_last_GC=1690369264threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=743.244time_GC=18.196user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=99529name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=102071name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=87196name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=101578name=ultimatelyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=99651name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=87328name=finallyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=102071name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=101589name=haveelapsed=0.031 ### Legacy feature! Old 'def' command -- use 'define' instead command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=102186name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=87336name=haveelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=101717name=thuselapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=104952name=proofelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=102418name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=103964name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=87483name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=102647name=ultimatelyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=105036name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=103964name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=87593name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=102658name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=104079name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=105036name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=87718name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=105292name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=104277name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=102759name=thuselapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=30245name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=87948name=finallyelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=104499name=ultimatelyelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=105474name=ultimatelyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=107905name=proofelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=104510name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=87956name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=105485name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=107987name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=108084name=noteelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=104593name=thuselapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=88043name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=105552name=obtainelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=108521name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=105552name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=30487name=byelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=124236name=haveelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=105776name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=108653name=obtainelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=124344name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=126075name=obtainelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=105892name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=108653name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=125059name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=126075name=obtainelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=109273name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=105892name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=126221name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=125327name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=106189name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=109273name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=125502name=ultimatelyelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=126393name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=106269name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=125513name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=127260name=haveelapsed=0.034 ML_statistics = :now=1466031692.04tasks_ready=9606tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=119size_allocation=1689255936size_allocation_free=656991232size_heap=4179513344size_heap_free_last_full_GC=0size_heap_free_last_GC=1690369264threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=744.844time_GC=18.196user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=106352name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=127377name=finallyelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=128143name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=109732name=haveelapsed=0.089 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=106782name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=127385name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=128322name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=107415name=ultimatelyelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=128409name=henceelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=107426name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=131850name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=133729name=obtainelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=114938name=haveelapsed=0.077 ### Legacy feature! Old 'def' command -- use 'define' instead command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=128531name=henceelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=133365name=ultimatelyelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=133729name=obtainelapsed=0.031 ### Legacy feature! Old 'def' command -- use 'define' instead command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=116593name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=133376name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=128671name=ultimatelyelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=134070name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=120484name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=128682name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=135994name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=134163name=henceelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=121883name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=128812name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=134322name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=136307name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=128952name=henceelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=123287name=ultimatelyelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=136396name=ultimatelyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=134373name=ultimatelyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=123298name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=129088name=ultimatelyelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=136407name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=134384name=showelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=129099name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=137471name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=136485name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=134855name=obtainelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=138468name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=140328name=obtainelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=136535name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=134855name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=138866name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=140328name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=136642name=ultimatelyelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=134976name=obtainelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=139042name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=136653name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=140593name=haveelapsed=0.054 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=134976name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=139081name=ultimatelyelapsed=0.029 ### Legacy feature! Old 'def' command -- use 'define' instead command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=136723name=obtainelapsed=0.036 ML_statistics = :now=1466031692.54tasks_ready=9640tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=119size_allocation=1689255936size_allocation_free=453440376size_heap=4179513344size_heap_free_last_full_GC=0size_heap_free_last_GC=1690369264threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=746.444time_GC=18.196user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=135131name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=140808name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=139092name=obtainelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=136723name=obtainelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=135197name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=139092name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=141273name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=135359name=ultimatelyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=136760name=obtainelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=139363name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=141368name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=135370name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=136760name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=139485name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=31450name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=141663name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=136898name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=31667name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=139609name=haveelapsed=0.036 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:file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=227007name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=218398name=proofelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=215087name=henceelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=214275name=nextelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=227486name=byelapsed=0.029 ML_statistics = 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:file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=214366name=henceelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=215259name=thuselapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=218552name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=215321name=nextelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=218552name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=228104name=byelapsed=0.074 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=214500name=guesselapsed=0.045 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=215371name=obtainelapsed=0.026 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=229727name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=220907name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=223437name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=219362name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=229818name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=223491name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=221046name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=219416name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=229984name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=221046name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=226207name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=219514name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=230025name=nextelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=221150name=showelapsed=0.025 ### Ignoring duplicate rewrite rule: ### 0 < dist ?x1 ?y1 \ ?x1 \ ?y1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=226346name=byelapsed=0.024 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=240111name=fixelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=242480name=fixelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=241649name=byelapsed=0.061 ML_statistics = :now=1466031698.91tasks_ready=9175tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=124size_allocation=1632632832size_allocation_free=429749000size_heap=4187901952size_heap_free_last_full_GC=0size_heap_free_last_GC=1634186712threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=769.62time_GC=18.64user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=250496name=byelapsed=0.170 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=261955name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=262542name=applyelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=262589name=applyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=262036name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=264307name=byelapsed=0.044 command_timing = :file=~~/src/HOL/Library/Inner_Product.thyoffset=5228name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=257377name=byelapsed=0.192 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=271024name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=75443name=byelapsed=0.102 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=270138name=applyelapsed=0.144 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=272347name=fixelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=272387name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=271734name=byelapsed=0.211 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=84992name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=275107name=applyelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=275001name=byelapsed=0.109 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=273868name=byelapsed=0.027 ML_statistics = :now=1466031700tasks_ready=9032tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=126size_allocation=1615855616size_allocation_free=1615855616size_heap=4188950528size_heap_free_last_full_GC=0size_heap_free_last_GC=1617363440threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=774.46time_GC=18.764user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=275186name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=275253name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=274053name=applyelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=271189name=byelapsed=0.319 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=273341name=byelapsed=0.265 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=280675name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=278641name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=280639name=byelapsed=0.044 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=278743name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=274507name=byelapsed=0.050 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=278973name=applyelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=279218name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=279016name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=279797name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=279966name=byelapsed=0.045 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=283977name=byelapsed=0.050 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=284229name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=287455name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=284483name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=287822name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=287252name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=287581name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=288166name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=284820name=applyelapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=285207name=applyelapsed=0.051 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=289930name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=290145name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=285968name=byelapsed=0.246 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=286447name=byelapsed=0.254 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=291079name=applyelapsed=0.015 ### Rule already declared as introduction (intro) ### open {} ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=294366name=applyelapsed=0.022 ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### closed UNIV ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### open {} ### Rule already declared as introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Rule already declared as introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Rule already declared as introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Rule already declared as introduction (intro) ### closed ?S \ open (- ?S) ### Rule already declared as introduction (intro) ### open ?S \ closed (- ?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### closed UNIV ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ML_statistics = :now=1466031700.5tasks_ready=8948tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=126size_allocation=1615855616size_allocation_free=461703504size_heap=4188950528size_heap_free_last_full_GC=0size_heap_free_last_GC=1617363440threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=776.016time_GC=18.764user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ### Rule already declared as introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=296395name=applyelapsed=0.081 ### Rule already declared as introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Rule already declared as introduction (intro) ### closed ?S \ open (- ?S) ### Rule already declared as introduction (intro) ### open ?S \ closed (- ?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=296696name=applyelapsed=0.134 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=297307name=byelapsed=0.049 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=297871name=byelapsed=0.049 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=297225name=byelapsed=0.401 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=297389name=applyelapsed=0.204 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=297789name=byelapsed=0.400 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=298520name=applyelapsed=0.031 ML_statistics = :now=1466031701tasks_ready=8940tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=127size_allocation=1614807040size_allocation_free=529919616size_heap=4191047680size_heap_free_last_full_GC=0size_heap_free_last_GC=1616496000threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=778.172time_GC=18.8user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=298354name=byelapsed=0.244 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=297955name=applyelapsed=0.237 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=299090name=applyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=298922name=byelapsed=0.272 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=299559name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=300090name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=300732name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=302720name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=306219name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=306367name=fixelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=306417name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=306490name=haveelapsed=0.031 ML_statistics = :now=1466031701.53tasks_ready=8907tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=128size_allocation=1613758464size_allocation_free=693367400size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=1615446136threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=780.408time_GC=18.828user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=306583name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=306729name=finallyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=306737name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=299406name=byelapsed=0.615 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=303148name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=307902name=byelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=299937name=byelapsed=0.579 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=87853name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=303314name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=307383name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=303471name=byelapsed=0.053 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=308339name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=303570name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=307254name=byelapsed=0.205 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=308609name=byelapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=303703name=byelapsed=0.095 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=317052name=byelapsed=0.028 ML_statistics = :now=1466031702.03tasks_ready=8872tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=129size_allocation=1612709888size_allocation_free=1612709888size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=1614682928threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=781.656time_GC=18.856user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=285360name=byelapsed=1.757 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=310670name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=317260name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=303882name=byelapsed=0.045 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=310708name=nextelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=317526name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=311010name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=310739name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=311605name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=311057name=nextelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=317615name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=311628name=nextelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=311092name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=317711name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=311658name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=311263name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=317800name=ultimatelyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=311865name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=317940name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=317811name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=311985name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=312545name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=304335name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=312109name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=312693name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=304396name=nextelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=312241name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=312789name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=304429name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=312826name=nextelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=312336name=finallyelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=304541name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=312344name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=312859name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=304628name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=312966name=henceelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=305012name=byelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=304735name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=313045name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=315136name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=313045name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=318249name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=313174name=fixelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=315256name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=318269name=nextelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=318298name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=315256name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=313235name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=318331name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=315386name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=313341name=haveelapsed=0.027 ML_statistics = :now=1466031702.54tasks_ready=8887tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=129size_allocation=1612709888size_allocation_free=1015266528size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=1614682928threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=783.256time_GC=18.856user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=319277name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=315430name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=313452name=henceelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=313551name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=315620name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=319730name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=319750name=nextelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=315807name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=313781name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=319779name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=315865name=finallyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=313947name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=307139name=byelapsed=1.049 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=319812name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=315873name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=314100name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=320711name=applyelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=320632name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=314198name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=319356name=applyelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=314332name=finallyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=314340name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=321103name=byelapsed=0.067 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=314415name=fixelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=314478name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=321733name=byelapsed=0.062 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=320754name=applyelapsed=0.148 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=319398name=applyelapsed=0.134 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=314797name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=321176name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=316403name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=321806name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=322613name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=321304name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=323419name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=321947name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=322726name=nextelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=321370name=nextelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=323534name=nextelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=322053name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=322762name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=321402name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=322119name=nextelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=323570name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=324149name=applyelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=322143name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=324248name=applyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=325812name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=325154name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=326413name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=325280name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=329232name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=327673name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=328658name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=324370name=applyelapsed=0.043 ML_statistics = :now=1466031703.04tasks_ready=8879tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=129size_allocation=1612709888size_allocation_free=720047280size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=1614682928threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=784.856time_GC=18.856user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=326654name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=326709name=haveelapsed=0.106 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=326902name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=328732name=byelapsed=0.161 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=327978name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=324492name=applyelapsed=0.236 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=330386name=byelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=328820name=byelapsed=0.138 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=328927name=byelapsed=0.062 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=329296name=byelapsed=0.373 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=328269name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=328177name=byelapsed=0.043 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=91659name=applyelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=92661name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=1634name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=1241name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=1993name=fixelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=3128name=fixelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=331092name=byelapsed=0.178 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=2043name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=3180name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=2591name=nextelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=4237name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=3733name=nextelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=2600name=fixelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=5379name=byelapsed=0.011 ML_statistics = :now=1466031703.58tasks_ready=8837tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=130size_allocation=1610612736size_allocation_free=719045504size_heap=4185804800size_heap_free_last_full_GC=0size_heap_free_last_GC=1612206376threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=787.992time_GC=18.928user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=3742name=fixelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=2651name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=4628name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=6091name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=3793name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=4734name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=4778name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=6231name=applyelapsed=0.050 ### Ignoring duplicate rewrite rule: ### 0 < dist ?x1 ?y1 \ ?x1 \ ?y1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=7961name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=8088name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=8312name=byelapsed=0.035 ### Ignoring duplicate rewrite rule: ### 0 < dist ?x1 ?y1 \ ?x1 \ ?y1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=8805name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=7572name=byelapsed=0.145 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=327232name=applyelapsed=0.612 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=8934name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=2326name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=9160name=byelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=3748name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=3256name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=3357name=showelapsed=0.066 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=5149name=byelapsed=0.081 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=5274name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=6349name=byelapsed=0.344 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=6241name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=6381name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=7990name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=9729name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=8132name=fixelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=10842name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=10928name=nextelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=8160name=showelapsed=0.030 ML_statistics = :now=1466031704.09tasks_ready=8782tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=131size_allocation=1596981248size_allocation_free=1596981248size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=1598802008threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=789.424time_GC=18.964user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=10956name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=4324name=byelapsed=0.278 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=11351name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=1501name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=844name=byelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=12395name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=1594name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=1719name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=690name=byelapsed=0.145 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=13665name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=1030name=applyelapsed=0.087 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=11524name=applyelapsed=0.260 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=12703name=fixelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=1879name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=13992name=fixelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=12737name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=3667name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=14026name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=12825name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=3151name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=14114name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=12894name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=3276name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=14184name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=12967name=ultimatelyelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=14255name=ultimatelyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=3939name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=12978name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=14266name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=7370name=fixelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=2465name=byelapsed=0.219 ### Bad Simplifier context: renamed bound variable ":000" to ":000a" (line 372 of "~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thy") ### Bad Simplifier context: renamed bound variable ":000" to ":000a" (line 372 of "~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thy") ### Bad Simplifier context: renamed bound variable ":000" to ":000a" (line 372 of "~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thy") ### Bad Simplifier context: renamed bound variable ":000" to ":000a" (line 372 of "~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thy") ### Bad Simplifier context: renamed bound variable ":000" to ":000a" (line 372 of "~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thy") ### Bad Simplifier context: renamed bound variable ":000" to ":000a" (line 372 of "~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thy") ### Bad Simplifier context: renamed bound variable ":000" to ":000a" (line 372 of "~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thy") ### Bad Simplifier context: renamed bound variable ":000" to ":000a" (line 372 of "~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thy") ### Bad Simplifier context: renamed bound variable ":000" to ":000a" (line 372 of "~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thy") ### Bad Simplifier context: renamed bound variable ":000" to ":000a" (line 372 of "~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thy") ### Bad Simplifier context: renamed bound variable ":000" to ":000a" (line 372 of "~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thy") ### Bad Simplifier context: renamed bound variable ":000" to ":000a" (line 372 of "~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thy") ### Bad Simplifier context: renamed bound variable ":000" to ":000a" (line 372 of "~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thy") ### Bad Simplifier context: renamed bound variable ":000" to ":000a" (line 372 of "~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thy") command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=13031name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=6777name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=7449name=obtainelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=6880name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=8902name=fixelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=13797name=byelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=7449name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=7035name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=8973name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=7548name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=9579name=fixelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=8973name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=7081name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=9794name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=9060name=showelapsed=0.029 ML_statistics = :now=1466031704.59tasks_ready=8717tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=131size_allocation=1596981248size_allocation_free=803304328size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=1598802008threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=791.024time_GC=18.964user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=10386name=fixelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=9147name=byelapsed=0.076 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=9905name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=7248name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=94657name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=10450name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=15245name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=94786name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=10558name=obtainelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=11554name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=94927name=byelapsed=0.011 ### Bad Simplifier context: renamed bound variable ":000" to ":000a" (line 425 of "~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thy") ### Bad Simplifier context: renamed bound variable ":000" to ":000a" (line 425 of "~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thy") ### Bad Simplifier context: renamed bound variable ":000" to ":000a" (line 425 of "~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thy") ### Bad Simplifier context: renamed bound variable ":000" to ":000a" (line 425 of "~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thy") ### Bad Simplifier context: renamed bound variable ":000" to ":000a" (line 425 of "~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thy") ### Bad Simplifier context: renamed bound variable ":000" to ":000a" (line 425 of "~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thy") ### Bad Simplifier context: renamed bound variable ":000" to ":000a" (line 425 of "~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thy") ### Bad Simplifier context: renamed bound variable ":000" to ":000a" (line 425 of "~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thy") ### Bad Simplifier context: renamed bound variable ":000" to ":000a" (line 425 of "~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thy") ### Bad Simplifier context: renamed bound variable ":000" to ":000a" (line 425 of "~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thy") ### Bad Simplifier context: renamed bound variable ":000" to ":000a" (line 425 of "~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thy") ### Bad Simplifier context: renamed bound variable ":000" to ":000a" (line 425 of "~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thy") ### Bad Simplifier context: renamed bound variable ":000" to ":000a" (line 425 of "~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thy") ### Bad Simplifier context: renamed bound variable ":000" to ":000a" (line 425 of "~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thy") command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=15349name=byelapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=10558name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=15123name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=11841name=byelapsed=0.044 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=10641name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=19284name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=18939name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=16380name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=16472name=byelapsed=0.063 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=19191name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=21059name=fixelapsed=0.081 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=16956name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=21459name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=19625name=fixelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=21069name=showelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=19665name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=21237name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=20128name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=16254name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=20189name=finallyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=20670name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=15963name=applyelapsed=0.105 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=22679name=applyelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=20197name=showelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=20933name=fixelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=16363name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=21034name=obtainelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=16414name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=21034name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=13446name=byelapsed=0.485 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=16414name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=21156name=fixelapsed=0.026 ML_statistics = :now=1466031705.11tasks_ready=8663tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=132size_allocation=1599078400size_allocation_free=1599078400size_heap=4188950528size_heap_free_last_full_GC=0size_heap_free_last_GC=1600616432threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=792.752time_GC=19.012user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=16489name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=23716name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=21257name=obtainelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=16626name=nextelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=23716name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=21257name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=16664name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=23813name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=21373name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=19725name=nextelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=24179name=nextelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=21435name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=24209name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=19763name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=21506name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=19763name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=24209name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=24304name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=19833name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=25604name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=26184name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=24408name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=26211name=applyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=25727name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=25806name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=25895name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=26292name=applyelapsed=0.043 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=28995name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=26372name=applyelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=28291name=applyelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=26419name=applyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=29141name=byelapsed=0.043 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=32040name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=29638name=applyelapsed=0.051 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=33610name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=35150name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=34084name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=97790name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=34162name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=36634name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=36675name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=35833name=byelapsed=0.077 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=34482name=byelapsed=0.012 ML_statistics = :now=1466031705.62tasks_ready=8586tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=132size_allocation=1599078400size_allocation_free=106452544size_heap=4188950528size_heap_free_last_full_GC=0size_heap_free_last_GC=1600616432threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=795.944time_GC=19.012user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=38172name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=38367name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=41122name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=39905name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=43125name=unfoldingelapsed=0.049 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=38857name=byelapsed=0.052 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=42649name=applyelapsed=0.073 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=43211name=applyelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=2712name=fixelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=3891name=fixelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=40288name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=2739name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=3923name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=43726name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=2739name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=3923name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=2864name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=4099name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=2864name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=4185name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=2996name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=4379name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=2996name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=43814name=applyelapsed=0.100 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=4480name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=3128name=letelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=43924name=applyelapsed=0.023 ### Rule already declared as introduction (intro) ### open {} ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=3153name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=4598name=haveelapsed=0.024 ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### closed UNIV ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=3729name=thuselapsed=0.025 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=5023name=ultimatelyelapsed=0.024 ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Rule already declared as introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Rule already declared as introduction (intro) ### closed ?S \ open (- ?S) ### Rule already declared as introduction (intro) ### open ?S \ closed (- ?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=44785name=byelapsed=0.064 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=44049name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Product_Vector.thyoffset=5034name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=40592name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=44126name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=46946name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=45233name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=48314name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=20517name=byelapsed=1.068 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=47118name=byelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=48857name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=45265name=byelapsed=0.060 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=48982name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=47337name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=50767name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=53412name=applyelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=57501name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=51488name=fixelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=53569name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=47859name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=50841name=showelapsed=0.027 ML_statistics = :now=1466031706.16tasks_ready=8536tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=133size_allocation=1592786944size_allocation_free=965266968size_heap=4188950528size_heap_free_last_full_GC=0size_heap_free_last_GC=1593838216threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=797.748time_GC=19.06user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=57670name=fixelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=51532name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=51600name=nextelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=57804name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=62226name=byelapsed=0.069 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=51609name=fixelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=58213name=byelapsed=0.107 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=51615name=letelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=54026name=obtainelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=51689name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=54026name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=51821name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=54165name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=58367name=byelapsed=0.108 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=51915name=finallyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=54165name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=62512name=applyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=62587name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=51923name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=54293name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=66045name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=51975name=nextelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=54419name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=58813name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=51984name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=56173name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=58707name=applyelapsed=0.180 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=56263name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=59375name=fixelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=56353name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=59416name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=62964name=byelapsed=0.061 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=67717name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=59920name=qedelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=66272name=applyelapsed=0.063 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=56556name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=68234name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=56643name=finallyelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=63243name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=68387name=applyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=56651name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=68437name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=66531name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=68970name=applyelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=63419name=byelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=67834name=applyelapsed=0.137 ML_statistics = :now=1466031706.67tasks_ready=8521tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=133size_allocation=1592786944size_allocation_free=456169384size_heap=4188950528size_heap_free_last_full_GC=0size_heap_free_last_GC=1593838216threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=799.348time_GC=19.06user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=68019name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=66828name=applyelapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=69441name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=66980name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=63566name=byelapsed=0.070 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=69496name=applyelapsed=0.111 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=70869name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=68985name=applyelapsed=0.202 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=63701name=applyelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=69069name=applyelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=63198name=applyelapsed=0.336 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=71124name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=72989name=applyelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=67423name=applyelapsed=0.064 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=73069name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=71737name=applyelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=71506name=applyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=64073name=applyelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=64413name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=63995name=byelapsed=0.084 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=73625name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=60402name=applyelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=72306name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=73796name=applyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=64170name=applyelapsed=0.088 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=65259name=byelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=65322name=byelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=72441name=applyelapsed=0.087 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=76432name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=76617name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=61471name=applyelapsed=0.026 ML_statistics = :now=1466031707.2tasks_ready=8461tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=134size_allocation=1588592640size_allocation_free=712618320size_heap=4188950528size_heap_free_last_full_GC=0size_heap_free_last_GC=1590223000threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=801.892time_GC=19.108user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=74591name=byelapsed=0.043 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=61742name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=76748name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=74787name=applyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=64911name=byelapsed=0.324 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=76064name=byelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=76169name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=77371name=byelapsed=0.052 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=77442name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=78800name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=78077name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=77537name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=79394name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=77604name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=65171name=applyelapsed=0.358 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=82586name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=82889name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=81705name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=82957name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=79621name=byelapsed=0.090 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=80026name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=81343name=byelapsed=0.099 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=83696name=applyelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=80064name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=84562name=byelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=87492name=byelapsed=0.051 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=84651name=haveelapsed=0.079 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=81825name=byelapsed=0.096 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=81969name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=85886name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=84790name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=87573name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=88399name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=84833name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=86188name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=84872name=nextelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=87775name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=84901name=haveelapsed=0.031 ML_statistics = :now=1466031707.71tasks_ready=8378tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=135size_allocation=1583349760size_allocation_free=1583349760size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=1584467016threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=803.152time_GC=19.152user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=86474name=byelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=84981name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=86627name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=85165name=ultimatelyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=90664name=byelapsed=0.043 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=88937name=byelapsed=0.052 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=85176name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=90188name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=85217name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=94120name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=85303name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=86702name=byelapsed=0.066 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=81763name=byelapsed=0.423 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=94215name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=85395name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=93713name=byelapsed=0.010 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=94894name=byelapsed=0.081 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=100151name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=98332name=nextelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=98607name=byelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=99750name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=101968name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=98768name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=98357name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=7994name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=101268name=byelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=102702name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=100968name=byelapsed=0.077 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=101363name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=98815name=byelapsed=0.095 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=103031name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=101484name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=101420name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=99264name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=104763name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=104979name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=105398name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=101632name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=103301name=byelapsed=0.044 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=105106name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=101699name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=103543name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=105906name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=105560name=byelapsed=0.021 ML_statistics = :now=1466031708.21tasks_ready=8270tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=135size_allocation=1583349760size_allocation_free=822100472size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=1584467016threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=804.712time_GC=19.152user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=103792name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=103669name=byelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=110482name=applyelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=106877name=byelapsed=0.046 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=8977name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=111119name=applyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=103951name=byelapsed=0.063 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=111197name=byelapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=111599name=byelapsed=0.047 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=111869name=applyelapsed=0.086 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=107307name=haveelapsed=0.069 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=106968name=applyelapsed=0.194 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=110137name=byelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=107451name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=107180name=byelapsed=0.164 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=112511name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=10418name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=107451name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=11782name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=10558name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=119254name=applyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=107692name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=11891name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=10670name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=120555name=applyelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=12003name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=108108name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=119993name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=108155name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=12117name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=10772name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=10846name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=108318name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=12192name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=119518name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=10925name=ultimatelyelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=12269name=ultimatelyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=108980name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=117697name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=10936name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Liminf_Limsup.thyoffset=12280name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=108980name=obtainelapsed=0.027 ### Ignoring duplicate rewrite rule: ### ?r1 *\<^sub>R ?x1 \ ?y1 \ ?r1 * (?x1 \ ?y1) ### Ignoring duplicate rewrite rule: ### ?x1 \ ?r1 *\<^sub>R ?y1 \ ?r1 * (?x1 \ ?y1) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=118095name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=120300name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=121091name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=109133name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=120891name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=117944name=applyelapsed=0.044 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=121239name=byelapsed=0.010 ### Ignoring duplicate rewrite rule: ### interior (cbox ?a1 ?b1) \ box ?a1 ?b1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=121608name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=121750name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=109181name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=118610name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=118515name=applyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=122112name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=109314name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=124233name=byelapsed=0.015 ML_statistics = :now=1466031708.74tasks_ready=8207tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=136size_allocation=1581252608size_allocation_free=1581252608size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=1583183624threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=806.26time_GC=19.192user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=119000name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=109444name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=124946name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=109693name=ultimatelyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=125052name=nextelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=126361name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=109704name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=129583name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=125081name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=128446name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=109922name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=125158name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=130442name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=129797name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=130579name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=135172name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=126821name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=135336name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=127010name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=130716name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=130791name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=135378name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=128324name=byelapsed=0.179 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=131071name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=135689name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=138488name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=137730name=applyelapsed=0.089 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=138509name=nextelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=135916name=nextelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=127369name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=144587name=applyelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=135925name=fixelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=138540name=letelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=139611name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=138592name=letelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=131353name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=135973name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=139734name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=138638name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=136061name=fixelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=144921name=applyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=139767name=nextelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=138750name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=149140name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=136099name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=139793name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=138822name=ultimatelyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=145658name=fixelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=136238name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=138833name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=131464name=byelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=145728name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=136353name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=138908name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=131524name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=145728name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=136401name=ultimatelyelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=150210name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=139191name=finallyelapsed=0.025 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=173725name=applyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=175936name=applyelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=176918name=obtainelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=174167name=applyelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=176918name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=181562name=byelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=176973name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=174745name=applyelapsed=0.017 ML_statistics = :now=1466031710.33tasks_ready=8089tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=137size_allocation=1577058304size_allocation_free=846494704size_heap=4183707648size_heap_free_last_full_GC=0size_heap_free_last_GC=1578698880threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=813.012time_GC=19.28user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=175103name=applyelapsed=0.061 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=181844name=applyelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=173947name=byelapsed=0.230 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=181960name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=175303name=applyelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=182287name=applyelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=182416name=byelapsed=0.015 ### Ignoring duplicate rewrite rule: ### ?r1 *\<^sub>R ?x1 \ ?y1 \ ?r1 * (?x1 \ ?y1) ### Ignoring duplicate rewrite rule: ### ?x1 \ ?r1 *\<^sub>R ?y1 \ ?r1 * (?x1 \ ?y1) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=184862name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=185005name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=185590name=byelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=182650name=applyelapsed=0.090 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=183989name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=174517name=applyelapsed=0.302 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=184258name=applyelapsed=0.081 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=187001name=byelapsed=0.100 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=188099name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=189516name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=187269name=applyelapsed=0.116 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=190242name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=189979name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=187497name=byelapsed=0.076 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=192292name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=191740name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=193379name=applyelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=193840name=applyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=192434name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=194037name=fixelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=197155name=applyelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=192643name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=194081name=haveelapsed=0.027 ML_statistics = :now=1466031710.83tasks_ready=8042tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=138size_allocation=1561329664size_allocation_free=1561329664size_heap=4187901952size_heap_free_last_full_GC=0size_heap_free_last_GC=1562346176threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=814.632time_GC=19.324user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=196206name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=192904name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=197488name=fixelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=194151name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=197560name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=200888name=qedelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=202884name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=201778name=byelapsed=0.057 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=202959name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=203413name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=207677name=byelapsed=0.061 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=203538name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=205363name=applyelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=203780name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=5536name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=210531name=byelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=203859name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=5830name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=211792name=byelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=212324name=applyelapsed=0.011 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=226979name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=225458name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=8242name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=227143name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=225598name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=8356name=nextelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=227283name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=225721name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=8388name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=225802name=finallyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=227406name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=230009name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=225810name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=227487name=finallyelapsed=0.028 ### Ignoring duplicate rewrite rule: ### ?r1 *\<^sub>R ?x1 \ ?y1 \ ?r1 * (?x1 \ ?y1) ### Ignoring duplicate rewrite rule: ### ?x1 \ ?r1 *\<^sub>R ?y1 \ ?r1 * (?x1 \ ?y1) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=230080name=haveelapsed=0.044 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=227495name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=235170name=applyelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=231448name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=235907name=fixelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=231554name=nextelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=233171name=fixelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=231597name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=235969name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=233247name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=231669name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=236150name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=233368name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=236463name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=231779name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=233526name=nextelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=231872name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=236590name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=233583name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=236723name=finallyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=237416name=showelapsed=0.024 ML_statistics = :now=1466031711.88tasks_ready=7967tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=139size_allocation=1564475392size_allocation_free=1112988648size_heap=4188950528size_heap_free_last_full_GC=0size_heap_free_last_GC=1565806664threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=819.444time_GC=19.372user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=245384name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=251010name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=254277name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=254408name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=251066name=ultimatelyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=245484name=finallyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=251077name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=254522name=finallyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=245492name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=245949name=qedelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=254530name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=251143name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=254571name=nextelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=252843name=ultimatelyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=259110name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=254580name=fixelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=259153name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=252854name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=254625name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=259250name=nextelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=253030name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=255098name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=259282name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=259820name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=258703name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=259820name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=164851name=byelapsed=3.181 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=262860name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=263687name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=256414name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=259913name=fixelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=266101name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=263053name=applyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=266240name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=259995name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=256765name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=263214name=byelapsed=0.010 ML_statistics = :now=1466031712.93tasks_ready=7962tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=140size_allocation=1558183936size_allocation_free=1558183936size_heap=4186853376size_heap_free_last_full_GC=0size_heap_free_last_GC=1559690768threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=823.352time_GC=19.44user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=265285name=byelapsed=0.073 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=263948name=showelapsed=0.098 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=257029name=byelapsed=0.102 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=260155name=fixelapsed=0.099 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=263981name=nextelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=7190name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=260268name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=264009name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=267355name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=7294name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=260432name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=264009name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=257427name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=260594name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=264148name=henceelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=260845name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=257222name=byelapsed=0.119 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=264258name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=257678name=applyelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=260942name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=264350name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=264478name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=261031name=ultimatelyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=261042name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=264590name=ultimatelyelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=269049name=byelapsed=0.087 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=261100name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=264601name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=264786name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=261132name=nextelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=270171name=applyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=264835name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=261160name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=261235name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=264954name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=257827name=applyelapsed=0.189 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=257842name=applyelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=261320name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=264954name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=8134name=byelapsed=0.052 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=265145name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=272689name=applyelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=272749name=applyelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=274702name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=276850name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=274791name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=273285name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=275071name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=276996name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=275175name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=275564name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=281803name=byelapsed=0.013 ML_statistics = :now=1466031713.43tasks_ready=7892tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=140size_allocation=1558183936size_allocation_free=1013886016size_heap=4186853376size_heap_free_last_full_GC=0size_heap_free_last_GC=1559690768threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=824.944time_GC=19.44user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=278689name=applyelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=282552name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=281924name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=278800name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=278991name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=284195name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=279342name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=284778name=byelapsed=0.010 ### Ignoring duplicate rewrite rule: ### aff_dim UNIV \ int DIM(?'n1) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=282146name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=285271name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=283011name=byelapsed=0.054 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=283260name=byelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=286034name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=283530name=applyelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=285406name=applyelapsed=0.056 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=279665name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=285642name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=286163name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=288223name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=283877name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=279996name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=286228name=nextelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=288401name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=289248name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=286260name=fixelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=280332name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=289431name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=290357name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=286332name=fixelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=280800name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=286385name=fixelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=290731name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=290523name=byelapsed=0.047 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=286092name=byelapsed=0.199 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=286434name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=293466name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=293691name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=296024name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=286513name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=291754name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=286687name=obtainelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=292055name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=296298name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=286687name=obtainelapsed=0.087 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=281101name=byelapsed=0.178 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=298875name=byelapsed=0.079 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=286853name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=296695name=byelapsed=0.018 ML_statistics = :now=1466031713.95tasks_ready=7804tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=141size_allocation=1548746752size_allocation_free=1548746752size_heap=4187901952size_heap_free_last_full_GC=0size_heap_free_last_GC=1549854968threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=827.012time_GC=19.492user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=294110name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=286913name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=299730name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=294334name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=286960name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=292523name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=287026name=ultimatelyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=294453name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=287037name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=292784name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=297400name=applyelapsed=0.069 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=297494name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=287127name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=294773name=byelapsed=0.013 ### Ignoring duplicate rewrite rule: ### rel_interior {} \ {} command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=287252name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=300540name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=300686name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=293082name=byelapsed=0.039 ### Ignoring duplicate rewrite rule: ### rel_interior {} \ {} command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=305985name=applyelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=295004name=byelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=298818name=byelapsed=0.360 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=295187name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=300954name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=295422name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=304817name=applyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=301137name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=306267name=byelapsed=0.049 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=301237name=byelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=304995name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=306643name=obtainelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=305147name=byelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=305387name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=306643name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=301540name=byelapsed=0.022 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=330669name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=330669name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=330742name=obtainelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=320364name=applyelapsed=0.084 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=330742name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=320468name=applyelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=330855name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=325839name=byelapsed=1.170 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=333263name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=331330name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=331556name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=17377name=byelapsed=0.144 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=17440name=byelapsed=0.071 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=331899name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=333395name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=332188name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=333459name=nextelapsed=0.026 ML_statistics = :now=1466031716.54tasks_ready=7652tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=143size_allocation=1540358144size_allocation_free=80740920size_heap=4187901952size_heap_free_last_full_GC=0size_heap_free_last_GC=1542064528threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=836.78time_GC=19.604user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=333492name=showelapsed=0.087 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=320900name=byelapsed=0.161 ### Ignoring duplicate rewrite rule: ### convex (convex hull ?s1) \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=321242name=byelapsed=0.042 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=17539name=byelapsed=0.085 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=333703name=applyelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=321311name=byelapsed=0.031 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=17752name=byelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=333823name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=17823name=byelapsed=0.072 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=17905name=byelapsed=0.084 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=334269name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=334805name=applyelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=326872name=byelapsed=1.958 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=335047name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=18107name=byelapsed=0.069 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=335070name=nextelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=335103name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=321051name=applyelapsed=0.514 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=335295name=showelapsed=0.029 ML_statistics = :now=1466031717.05tasks_ready=7634tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=144size_allocation=1533018112size_allocation_free=672178872size_heap=4188950528size_heap_free_last_full_GC=0size_heap_free_last_GC=1534751184threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=838.6time_GC=19.664user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=18244name=byelapsed=0.088 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=333894name=applyelapsed=0.248 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=335776name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=333987name=applyelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=18887name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=336213name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=19425name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=19589name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=336237name=nextelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=337756name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=321104name=applyelapsed=0.113 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=336266name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=338787name=applyelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=337816name=nextelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=336305name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=337845name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=336471name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=337893name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=338054name=byelapsed=0.107 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=336754name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=339746name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=336888name=ultimatelyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=339950name=nextelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=336899name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=19754name=byelapsed=0.077 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=339979name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=340784name=applyelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=342383name=applyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=340031name=showelapsed=0.047 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=340031name=showelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=342468name=byelapsed=0.123 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=343633name=byelapsed=0.149 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=343821name=byelapsed=0.098 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=344522name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=341124name=applyelapsed=0.048 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=343010name=byelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=342853name=byelapsed=0.075 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=346424name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=343940name=applyelapsed=0.077 ML_statistics = :now=1466031717.6tasks_ready=7610tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=145size_allocation=1528823808size_allocation_free=1528823808size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=1530521520threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=840.164time_GC=19.712user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=341236name=applyelapsed=0.076 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=343955name=applyelapsed=0.066 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=344130name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=346695name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=346495name=byelapsed=0.098 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=346819name=applyelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=345204name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=345242name=applyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=345357name=byelapsed=0.069 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=347949name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=348867name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=348049name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=346856name=applyelapsed=0.178 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=349457name=byelapsed=0.047 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=346892name=applyelapsed=0.059 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=354267name=applyelapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=341292name=applyelapsed=0.372 ### Ignoring duplicate rewrite rule: ### open {} \ True ### Ignoring duplicate rewrite rule: ### closed {} \ True ### Ignoring duplicate rewrite rule: ### closed UNIV \ True ### Ignoring duplicate rewrite rule: ### closed ?S1 \ closed (insert ?a1 ?S1) \ True ### Ignoring duplicate rewrite rule: ### open {?a1<..} \ True ### Ignoring duplicate rewrite rule: ### open {.. True ### Ignoring duplicate rewrite rule: ### open {?a1<.. True ### Ignoring duplicate rewrite rule: ### closed {..?a1} \ True ### Ignoring duplicate rewrite rule: ### closed {?a1..} \ True ### Ignoring duplicate rewrite rule: ### closed {?a1..?b1} \ True ### Ignoring duplicate rewrite rule: ### continuous bot ?f1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=356904name=applyelapsed=0.014 ### Ignoring duplicate rewrite rule: ### continuous (at ?x1 within ?S1) (\x. x) \ True ### Ignoring duplicate rewrite rule: ### continuous ?F1 (\x. ?c1) \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=354425name=byelapsed=0.086 ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; ?f1 ?a1 \ (0::?'b1)\ ### \ isCont (\x. inverse (?f1 x)) ?a1 \ True ### Ignoring duplicate rewrite rule: ### closure ?S1 = {} \ ?S1 = {} ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; isCont ?g1 ?a1; ?g1 ?a1 \ (0::?'b1)\ ### \ isCont (\x. ?f1 x / ?g1 x) ?a1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=356951name=applyelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=356302name=applyelapsed=0.031 ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; isCont ?g1 ?a1; 0 < ?f1 ?a1; ?f1 ?a1 \ 1; ### 0 < ?g1 ?a1\ ### \ isCont (\x. log (?f1 x) (?g1 x)) ?a1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=360994name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=361298name=applyelapsed=0.011 ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; isCont ?g1 ?a1; ?f1 ?a1 \ 0\ ### \ isCont (\x. ?f1 x powr ?g1 x) ?a1 \ True ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; cos (?f1 ?a1) \ (0::?'a1)\ ### \ isCont (\x. tan (?f1 x)) ?a1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=361340name=byelapsed=0.019 ML_statistics = :now=1466031718.14tasks_ready=7582tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=146size_allocation=1525678080size_allocation_free=1525678080size_heap=4191047680size_heap_free_last_full_GC=0size_heap_free_last_GC=1526562680threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=842.648time_GC=19.744user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; sin (?f1 ?a1) \ (0::?'a1)\ ### \ isCont (\x. cot (?f1 x)) ?a1 \ True ### Ignoring duplicate rewrite rule: ### continuous ?F1 ?g1 \ ### continuous ?F1 (\x. cnj (?g1 x)) \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=361690name=applyelapsed=0.011 ### Ignoring duplicate rewrite rule: ### continuous_on ?s1 ?g1 \ ### continuous_on ?s1 (\x. cnj (?g1 x)) \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=355913name=byelapsed=0.152 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=361070name=byelapsed=0.088 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=361732name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=20724name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=362472name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=362530name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=362199name=byelapsed=0.076 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=362604name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=364150name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=363836name=applyelapsed=0.074 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=363877name=applyelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=362678name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=364216name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=362876name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=364434name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=364501name=nextelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=366005name=byelapsed=0.050 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=364510name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=364725name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=23080name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=364792name=nextelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=366441name=byelapsed=0.170 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=364801name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=23227name=byelapsed=0.040 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=23349name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=365089name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=367104name=obtainelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=367104name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=23492name=byelapsed=0.079 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=367263name=obtainelapsed=0.035 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=23560name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=370482name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=367263name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=369356name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=367345name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=371078name=byelapsed=0.011 ML_statistics = :now=1466031718.64tasks_ready=7560tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=146size_allocation=1525678080size_allocation_free=835762032size_heap=4191047680size_heap_free_last_full_GC=0size_heap_free_last_GC=1526562680threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=844.228time_GC=19.744user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=367393name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=369460name=byelapsed=0.062 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=367755name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=368936name=byelapsed=0.220 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=367882name=haveelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=369607name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=371885name=byelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=369913name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=369607name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=368418name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=369719name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=373273name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=368669name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=373303name=nextelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=369784name=ultimatelyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=338888name=applyelapsed=1.666 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=368766name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=369795name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=373379name=haveelapsed=0.022 ### Ignoring duplicate rewrite rule: ### aff_dim UNIV \ int DIM(?'n1) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=338999name=applyelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=373460name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=339073name=applyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=376995name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=373523name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=378185name=byelapsed=0.016 ### Ignoring duplicate rewrite rule: ### aff_dim (affine hull ?S1) \ aff_dim ?S1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=378258name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=373590name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=379172name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=373699name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=374267name=applyelapsed=0.138 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=373758name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=379293name=finallyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=379506name=applyelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=373903name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=379301name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=379355name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=374151name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=381837name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=339153name=applyelapsed=0.254 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=380444name=byelapsed=0.109 ML_statistics = :now=1466031719.18tasks_ready=7550tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=147size_allocation=1524629504size_allocation_free=1524629504size_heap=4187901952size_heap_free_last_full_GC=0size_heap_free_last_GC=1526000680threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=846.376time_GC=19.796user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=377168name=byelapsed=0.173 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=381925name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=382422name=byelapsed=0.161 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=380488name=byelapsed=0.067 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=382571name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=380792name=fixelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=384603name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=382849name=nextelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=380806name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=384683name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=382873name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=380806name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=384683name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=381007name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=384824name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=383165name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=339227name=applyelapsed=0.191 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=384979name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=386799name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=381259name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=383797name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=386912name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=385133name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=387197name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=386212name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=385244name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=387002name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=386281name=applyelapsed=0.014 ### Ignoring duplicate rewrite rule: ### (0::?'a1) \ span ?S1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=385426name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=387091name=ultimatelyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=386404name=applyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=387102name=showelapsed=0.028 ### Ignoring duplicate rewrite rule: ### ?a1 \ (0::?'a1) \ ### aff_dim {x. ?a1 \ x = ?r1} \ int (DIM(?'a1) - 1) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=381341name=byelapsed=0.115 ### Ignoring duplicate rewrite rule: ### ?a1 \ (0::?'a1) \ ### aff_dim {x. ?a1 \ x = ?r1} \ int (DIM(?'a1) - 1) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=389633name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=387615name=applyelapsed=0.051 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=386497name=applyelapsed=0.053 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=394858name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=388995name=byelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=391087name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=393548name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=389795name=fixelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=391087name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=394977name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=391194name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=389824name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=395107name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=391194name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=390001name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=395240name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=391283name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=389099name=byelapsed=0.146 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=390077name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=391343name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=393092name=byelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=395413name=obtainelapsed=0.031 ML_statistics = :now=1466031719.68tasks_ready=7541tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=147size_allocation=1524629504size_allocation_free=770050952size_heap=4187901952size_heap_free_last_full_GC=0size_heap_free_last_GC=1526000680threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=847.976time_GC=19.796user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=390168name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=391430name=ultimatelyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=395413name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=397603name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=391441name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=390267name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=395618name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=397782name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=391508name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=395699name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=398014name=ultimatelyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=400601name=byelapsed=0.050 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=399665name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=398025name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=395909name=ultimatelyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=399686name=nextelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=399722name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=398157name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=395920name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=398261name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=395960name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=403404name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=398618name=byelapsed=0.084 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=396037name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=403527name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=398350name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=400179name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=398420name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=396320name=ultimatelyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=400718name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=403792name=byelapsed=0.054 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=396331name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=398545name=ultimatelyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=404659name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=398556name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=406139name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=393963name=byelapsed=0.075 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=401200name=byelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=401354name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=401847name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=402015name=nextelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=401447name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=402039name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=401536name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=402151name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=401634name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=406465name=byelapsed=0.072 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=402363name=haveelapsed=0.091 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=412353name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=402688name=showelapsed=0.027 ML_statistics = :now=1466031720.23tasks_ready=7537tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=148size_allocation=1515192320size_allocation_free=1515192320size_heap=4186853376size_heap_free_last_full_GC=0size_heap_free_last_GC=1516422920threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=850.3time_GC=19.856user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=412517name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=404844name=byelapsed=0.297 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=407944name=byelapsed=0.053 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=412809name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=408036name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=406789name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=405638name=applyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=408460name=applyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=407056name=byelapsed=0.044 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=408560name=applyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=413272name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=408797name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=405688name=byelapsed=0.047 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=408895name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=409127name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=409285name=ultimatelyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=407173name=byelapsed=0.097 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=413156name=byelapsed=0.176 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=409296name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=411217name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=413723name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=409366name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=413898name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=409366name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=414029name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=411464name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=409481name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=411567name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=409667name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=409785name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=414173name=byelapsed=0.144 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=415147name=fixelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=409878name=haveelapsed=0.037 ML_statistics = 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:file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=4350name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=1999name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=4475name=ultimatelyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=1999name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=12746name=byelapsed=0.078 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=4486name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=2106name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=12916name=byelapsed=0.091 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=4568name=nextelapsed=0.094 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=2235name=haveelapsed=0.094 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=13181name=byelapsed=0.120 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=13349name=obtainelapsed=0.102 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=4579name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=2352name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=13920name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=13349name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=4691name=nextelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=14174name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=13474name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=4702name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=14074name=byelapsed=0.055 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=14263name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=13474name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=32451name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=4877name=nextelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=14345name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=13630name=showelapsed=0.029 ML_statistics = :now=1466031722.84tasks_ready=7453tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=151size_allocation=1502609408size_allocation_free=1502609408size_heap=4185804800size_heap_free_last_full_GC=0size_heap_free_last_GC=1503687616threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=859.684time_GC=20.016user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=4888name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=15554name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=14442name=finallyelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=29756name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=34947name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=19457name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=14450name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=19589name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=14492name=haveelapsed=0.032 ### Ignoring duplicate introduction (intro) ### open {} ### Ignoring duplicate introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Ignoring duplicate introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=37805name=byelapsed=0.018 ### Ignoring duplicate introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) ### Ignoring duplicate introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### closed {} command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=14573name=haveelapsed=0.033 ### Ignoring duplicate introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Ignoring duplicate introduction (intro) ### closed UNIV command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=37939name=byelapsed=0.012 ### Ignoring duplicate introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Ignoring duplicate introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Ignoring duplicate introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) ### Ignoring duplicate introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Ignoring duplicate introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Ignoring duplicate introduction (intro) ### closed ?S \ open (- ?S) ### Ignoring duplicate introduction (intro) ### open ?S \ closed (- ?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=2227name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=14740name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=15420name=byelapsed=0.189 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=2317name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=14845name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=1876name=applyelapsed=0.105 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=7083name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Permutations.thyoffset=38441name=byelapsed=0.040 ### Ignoring duplicate rewrite rule: ### path (reversepath ?g1) \ path ?g1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=14933name=finallyelapsed=0.025 ### Rule already declared as introduction (intro) ### open {} ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=8872name=byelapsed=0.017 ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=7904name=applyelapsed=0.023 ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### closed UNIV command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=14941name=showelapsed=0.026 ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=9262name=byelapsed=0.024 ### Rule already declared as introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \S\?K. closed S \ closed (\?K) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=8059name=applyelapsed=0.021 ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Rule already declared as introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Rule already declared as introduction (intro) ### closed ?S \ open (- ?S) ### Rule already declared as introduction (intro) ### open ?S \ closed (- ?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=9543name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=14654name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=15031name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=9814name=applyelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=9050name=byelapsed=0.088 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=15249name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=15891name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=17710name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=15967name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=18162name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=15451name=applyelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=16407name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=17904name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=18179name=applyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=16117name=byelapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=16424name=applyelapsed=0.019 ### Ignoring duplicate rewrite rule: ### pathfinish ?g1.1 = pathstart ?g2.1 \ ### path (?g1.1 +++ ?g2.1) \ path ?g1.1 \ path ?g2.1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=16884name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=18411name=applyelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=16901name=applyelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=16542name=applyelapsed=0.044 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=18297name=byelapsed=0.058 ### Ignoring duplicate rewrite rule: ### pathfinish ?g1.1 = pathstart ?g2.1 \ ### path (?g1.1 +++ ?g2.1) \ path ?g1.1 \ path ?g2.1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=17220name=applyelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=18471name=applyelapsed=0.066 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=18527name=applyelapsed=0.043 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=17025name=applyelapsed=0.105 ML_statistics = :now=1466031723.35tasks_ready=7396tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=151size_allocation=1502609408size_allocation_free=925222328size_heap=4185804800size_heap_free_last_full_GC=0size_heap_free_last_GC=1503687616threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=861.26time_GC=20.016user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=18570name=applyelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=18590name=applyelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=17042name=applyelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=18610name=applyelapsed=0.065 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=19325name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=21460name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=19541name=applyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=19582name=byelapsed=0.093 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=17285name=applyelapsed=0.344 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=21602name=proofelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=16630name=applyelapsed=0.383 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=17116name=applyelapsed=0.246 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=21640name=fixelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=20042name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=19835name=applyelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=21714name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=20149name=byelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=20269name=byelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=22066name=proofelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=19918name=applyelapsed=0.075 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=22104name=fixelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=20500name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=20392name=byelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=17341name=applyelapsed=0.152 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=22178name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=23514name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=20701name=byelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=17384name=applyelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=22655name=byelapsed=0.059 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=23675name=byelapsed=0.071 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=17404name=applyelapsed=0.066 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=22523name=byelapsed=0.092 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=23992name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=27868name=applyelapsed=0.013 ML_statistics = :now=1466031723.89tasks_ready=7363tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=152size_allocation=1490026496size_allocation_free=1490026496size_heap=4185804800size_heap_free_last_full_GC=0size_heap_free_last_GC=1490816016threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=862.98time_GC=20.08user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=24874name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=25049name=nextelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=25120name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=26068name=byelapsed=0.069 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=25278name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=29723name=byelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=25507name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=31143name=byelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=30152name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=17425name=applyelapsed=0.186 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=31559name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=30207name=byelapsed=0.079 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=31639name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=30506name=byelapsed=0.133 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=30633name=byelapsed=0.060 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=31350name=byelapsed=0.327 ML_statistics = :now=1466031724.41tasks_ready=7357tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=153size_allocation=1482686464size_allocation_free=1482686464size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=1484159616threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=865.86time_GC=20.12user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=31874name=byelapsed=0.167 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=27947name=applyelapsed=0.736 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=32027name=byelapsed=0.215 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=33999name=applyelapsed=0.109 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=35905name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=36490name=applyelapsed=0.020 ML_statistics = :now=1466031724.91tasks_ready=7343tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=153size_allocation=1482686464size_allocation_free=601548248size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=1484159616threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=867.452time_GC=20.12user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=34416name=byelapsed=0.216 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=38188name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=36626name=applyelapsed=0.301 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=37420name=applyelapsed=0.103 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=37465name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=29959name=byelapsed=1.095 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=36780name=applyelapsed=0.050 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=37501name=applyelapsed=0.043 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=39597name=byelapsed=0.067 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=38269name=applyelapsed=0.096 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=34509name=byelapsed=0.122 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=34795name=byelapsed=0.099 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=40884name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=40209name=applyelapsed=0.149 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=40224name=applyelapsed=0.024 ML_statistics = :now=1466031725.41tasks_ready=7334tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=154size_allocation=1482686464size_allocation_free=1482686464size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=1484141784threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=868.528time_GC=20.144user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=41094name=nextelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=38284name=applyelapsed=0.187 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=41126name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=34888name=byelapsed=0.022 ### Ignoring duplicate rewrite rule: ### path (linepath ?a1 ?b1) \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=34999name=byelapsed=0.036 ### Ignoring duplicate rewrite rule: ### convex (convex hull ?s1) \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=42936name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=45493name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=45959name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=35188name=applyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=45585name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=50299name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=35288name=applyelapsed=0.053 ### Ignoring duplicate safe introduction (intro!) ### convex {?a..} ### Ignoring duplicate safe introduction (intro!) ### convex {..?b} ### Ignoring duplicate safe introduction (intro!) ### convex {?a<..} ### Ignoring duplicate safe introduction (intro!) ### convex {..R ?x1 \ ?y1 \ ?r1 * (?x1 \ ?y1) ### Ignoring duplicate rewrite rule: ### ?x1 \ ?r1 *\<^sub>R ?y1 \ ?r1 * (?x1 \ ?y1) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=61836name=applyelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=67376name=applyelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=66297name=byelapsed=0.054 ML_statistics = :now=1466031726.43tasks_ready=7277tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=155size_allocation=1484783616size_allocation_free=741397208size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=1486163608threads_in_ML=4threads_total=11threads_wait_condvar=4threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=872.86time_GC=20.176user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=67632name=applyelapsed=0.019 ### Rule already declared as introduction (intro) ### open {} ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### closed UNIV ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=61955name=byelapsed=0.074 ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Rule already declared as introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Rule already declared as introduction (intro) ### closed ?S \ open (- ?S) ### Rule already declared as introduction (intro) ### open ?S \ closed (- ?S) ### Rule already declared as introduction (intro) ### open {} ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Rule already declared as introduction (intro) ### continuous_on ?s (linepath ?a ?b) ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=67730name=byelapsed=0.101 ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=62260name=byelapsed=0.093 ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### closed UNIV ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Rule already declared as introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Rule already declared as introduction (intro) ### closed ?S \ open (- ?S) ### Rule already declared as introduction (intro) ### open ?S \ closed (- ?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=68798name=byelapsed=0.012 ### Rule already declared as introduction (intro) ### continuous_on ?s (linepath ?a ?b) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=67863name=byelapsed=0.101 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=69036name=applyelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=74548name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=74394name=byelapsed=0.072 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=74768name=applyelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=62591name=applyelapsed=0.139 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=74930name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=74847name=applyelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=69932name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=69621name=byelapsed=0.047 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=70144name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=77263name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=70653name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=70541name=applyelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=77826name=byelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=62641name=byelapsed=0.159 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=70978name=applyelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=30715name=byelapsed=2.506 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=78888name=byelapsed=0.101 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=78103name=byelapsed=0.021 ML_statistics = :now=1466031726.93tasks_ready=7218tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=156size_allocation=1481637888size_allocation_free=316074736size_heap=4191047680size_heap_free_last_full_GC=0size_heap_free_last_GC=1482429984threads_in_ML=3threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=875.712time_GC=20.208user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=71563name=byelapsed=0.048 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=79057name=byelapsed=0.104 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=71874name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=79096name=byelapsed=0.061 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=72086name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=78351name=byelapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=72595name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=72847name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=73049name=applyelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=72483name=applyelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=80572name=byelapsed=0.053 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=80671name=applyelapsed=0.052 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=80782name=applyelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=73133name=byelapsed=0.121 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=81940name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=82165name=usingelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=82354name=usingelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=82236name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=82425name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=82626name=applyelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=85600name=byelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=85684name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=82750name=byelapsed=0.045 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=86152name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=80809name=applyelapsed=0.161 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=86178name=nextelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=86926name=applyelapsed=0.059 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=86209name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=89147name=byelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=93260name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=89274name=applyelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=80026name=applyelapsed=0.416 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=93402name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=89381name=applyelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=93467name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=92282name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=89412name=applyelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=89498name=applyelapsed=0.011 ML_statistics = :now=1466031727.43tasks_ready=7180tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=157size_allocation=1478492160size_allocation_free=1478492160size_heap=4191047680size_heap_free_last_full_GC=0size_heap_free_last_GC=1479735336threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=876.188time_GC=20.244user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=92456name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=93536name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=89532name=byelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=93536name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=95310name=applyelapsed=0.062 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=93679name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Operator_Norm.thyoffset=5765name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Operator_Norm.thyoffset=5857name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=95599name=applyelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=92805name=byelapsed=0.118 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=96875name=byelapsed=0.043 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=100559name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=101264name=applyelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=97125name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=100593name=byelapsed=0.047 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=100738name=byelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=94081name=byelapsed=0.335 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=102009name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=101298name=byelapsed=0.061 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=97246name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=101409name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=102155name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=97508name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=103838name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=97677name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=97347name=byelapsed=0.045 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=98220name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=98129name=applyelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=103983name=nextelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=97847name=byelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=104008name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=105536name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=107947name=byelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=108010name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=105560name=nextelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=109929name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=110863name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=108102name=nextelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=110051name=nextelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=105586name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=111447name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=108122name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=110089name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=105678name=fixelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=111569name=nextelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=105692name=assumeelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=108286name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=112386name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=111608name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=105894name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=114531name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=108366name=obtainelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=114652name=byelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=114742name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=114827name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=105965name=haveelapsed=0.032 ML_statistics = :now=1466031727.93tasks_ready=7134tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=157size_allocation=1478492160size_allocation_free=83064360size_heap=4191047680size_heap_free_last_full_GC=0size_heap_free_last_GC=1479735336threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=2threads_wait_signal=1time_CPU=879.38time_GC=20.244user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=108366name=obtainelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=114950name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=115014name=applyelapsed=0.045 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=106026name=ultimatelyelapsed=0.074 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=108461name=haveelapsed=0.077 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=118864name=byelapsed=0.096 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=106037name=obtainelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=108896name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=115071name=applyelapsed=0.067 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=106037name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=109006name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=119062name=obtainelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=106159name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=115149name=byelapsed=0.079 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=109144name=ultimatelyelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=120807name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=106159name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=119062name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=109155name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=119270name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=106325name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=109384name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=119489name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=106449name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=121023name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=119757name=nextelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=106677name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=115615name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=115367name=byelapsed=0.098 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=106888name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=119820name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=126006name=applyelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=126267name=applyelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=106945name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=127009name=applyelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=107097name=ultimatelyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=107108name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=107233name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=116047name=applyelapsed=0.140 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=127286name=byelapsed=0.103 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=127053name=applyelapsed=0.100 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=107370name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=127523name=applyelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=107471name=showelapsed=0.028 ML_statistics = :now=1466031728.44tasks_ready=7132tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=158size_allocation=1475346432size_allocation_free=887381056size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=1476029056threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=881.244time_GC=20.284user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=5582name=applyelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=127192name=applyelapsed=0.085 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=5971name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=127595name=applyelapsed=0.088 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=6328name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=7298name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=7364name=proofelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=127912name=byelapsed=0.118 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=7460name=fixelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=7571name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=131541name=byelapsed=0.073 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=7690name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=7859name=showelapsed=0.092 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=116106name=byelapsed=0.457 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=7015name=byelapsed=0.325 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=133587name=applyelapsed=0.056 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=131630name=byelapsed=0.163 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=131924name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=8519name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=132027name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=131797name=byelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=8658name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=132135name=nextelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=133700name=applyelapsed=0.061 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=8873name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=132574name=byelapsed=0.050 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=132144name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=9180name=applyelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=8745name=byelapsed=0.048 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=9025name=byelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=9257name=applyelapsed=0.010 ### Rule already declared as introduction (intro) ### open {} ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) ### Rule already declared as introduction (intro) ### open {} ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### closed UNIV ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) ### Rule already declared as introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ML_statistics = :now=1466031728.99tasks_ready=7099tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=159size_allocation=1471152128size_allocation_free=1471152128size_heap=4187901952size_heap_free_last_full_GC=0size_heap_free_last_GC=1472040496threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=882.388time_GC=20.344user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ### Rule already declared as introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### closed UNIV command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=137856name=applyelapsed=0.052 ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Rule already declared as introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) command_timing = :file=~~/src/HOL/Multivariate_Analysis/PolyRoots.thyoffset=9367name=byelapsed=0.086 ### Rule already declared as introduction (intro) ### closed ?S \ open (- ?S) ### Rule already declared as introduction (intro) ### open ?S \ closed (- ?S) ### Rule already declared as introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Rule already declared as introduction (intro) ### continuous_on ?s (linepath ?a ?b) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Rule already declared as introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Rule already declared as introduction (intro) ### closed ?S \ open (- ?S) ### Rule already declared as introduction (intro) ### open ?S \ closed (- ?S) ### Rule already declared as introduction (intro) ### continuous_on ?s (linepath ?a ?b) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=146089name=applyelapsed=0.070 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=146200name=applyelapsed=0.017 ### Rule already declared as introduction (intro) ### open {} ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### closed UNIV ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Rule already declared as introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Rule already declared as introduction (intro) ### closed ?S \ open (- ?S) ### Rule already declared as introduction (intro) ### open ?S \ closed (- ?S) ### Rule already declared as introduction (intro) ### continuous_on ?s (linepath ?a ?b) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=146441name=applyelapsed=0.069 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=137468name=applyelapsed=0.186 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=146552name=applyelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=141969name=byelapsed=0.162 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=137543name=applyelapsed=0.041 ### Ignoring duplicate introduction (intro) ### open {} ### Ignoring duplicate introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=137930name=applyelapsed=0.193 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=147043name=applyelapsed=0.017 ### Ignoring duplicate introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=146742name=byelapsed=0.054 ### Ignoring duplicate introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### closed {} ### Ignoring duplicate introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Ignoring duplicate introduction (intro) ### closed UNIV ### Ignoring duplicate introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Ignoring duplicate introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=142285name=byelapsed=0.018 ### Ignoring duplicate introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Ignoring duplicate introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) ### Ignoring duplicate introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Ignoring duplicate introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Ignoring duplicate introduction (intro) ### closed ?S \ open (- ?S) ### Ignoring duplicate introduction (intro) ### open ?S \ closed (- ?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=147335name=byelapsed=0.042 ### Ignoring duplicate introduction (intro) ### continuous_on ?s (linepath ?a ?b) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=147678name=applyelapsed=0.014 ### Ignoring duplicate introduction (intro) ### open {} ### Ignoring duplicate introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=142146name=applyelapsed=0.091 ### Ignoring duplicate introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) ### Ignoring duplicate introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### closed {} ### Ignoring duplicate introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Ignoring duplicate introduction (intro) ### closed UNIV ### Ignoring duplicate introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Ignoring duplicate introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Ignoring duplicate introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=148171name=haveelapsed=0.029 ### Ignoring duplicate introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Ignoring duplicate introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Ignoring duplicate introduction (intro) ### closed ?S \ open (- ?S) ### Ignoring duplicate introduction (intro) ### open ?S \ closed (- ?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=147799name=applyelapsed=0.062 ### Ignoring duplicate introduction (intro) ### continuous_on ?s (linepath ?a ?b) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=148308name=henceelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=147873name=applyelapsed=0.099 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=142459name=applyelapsed=0.197 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=148463name=henceelapsed=0.111 ### Ignoring duplicate introduction (intro) ### open {} ### Ignoring duplicate introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Ignoring duplicate introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=148933name=thuselapsed=0.029 ### Ignoring duplicate introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### closed {} ### Ignoring duplicate introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Ignoring duplicate introduction (intro) ### closed UNIV command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=147994name=applyelapsed=0.069 ### Ignoring duplicate introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Ignoring duplicate introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Ignoring duplicate introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) ### Ignoring duplicate introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Ignoring duplicate introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Ignoring duplicate introduction (intro) ### closed ?S \ open (- ?S) ### Ignoring duplicate introduction (intro) ### open ?S \ closed (- ?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=143157name=haveelapsed=0.030 ### Ignoring duplicate introduction (intro) ### continuous_on ?s (linepath ?a ?b) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=143237name=showelapsed=0.028 ML_statistics = :now=1466031729.56tasks_ready=7089tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=160size_allocation=1462763520size_allocation_free=1462763520size_heap=4184756224size_heap_free_last_full_GC=0size_heap_free_last_GC=1463236560threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=884.74time_GC=20.42user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ### Metis: Unused theorems: "Orderings.linorder_class.not_le" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=143903name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=147079name=byelapsed=0.367 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=142708name=applyelapsed=0.133 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=144566name=applyelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=144627name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=142864name=applyelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=144243name=byelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=144772name=applyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Euclidean_Space.thyoffset=4672name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=152395name=applyelapsed=0.096 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=152306name=byelapsed=0.110 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=144875name=applyelapsed=0.170 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=153017name=byelapsed=0.192 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=153640name=byelapsed=0.053 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=153725name=byelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=153106name=applyelapsed=0.089 ML_statistics = :now=1466031730.12tasks_ready=7074tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=161size_allocation=1451229184size_allocation_free=1451229184size_heap=4187901952size_heap_free_last_full_GC=0size_heap_free_last_GC=1452346408threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=886.512time_GC=20.476user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=152473name=byelapsed=0.440 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=154080name=applyelapsed=0.090 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=154211name=applyelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=154571name=applyelapsed=0.045 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=144955name=applyelapsed=0.689 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=153184name=byelapsed=0.430 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=154589name=applyelapsed=0.221 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=155838name=applyelapsed=0.098 ML_statistics = :now=1466031730.62tasks_ready=7070tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=162size_allocation=1448083456size_allocation_free=1448083456size_heap=4191047680size_heap_free_last_full_GC=0size_heap_free_last_GC=1448753672threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=887.912time_GC=20.508user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=156189name=byelapsed=0.115 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=156497name=applyelapsed=0.114 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=161394name=showelapsed=0.062 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=161505name=nextelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=161540name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=154639name=applyelapsed=0.270 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=164977name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=165072name=ultimatelyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=156602name=applyelapsed=0.199 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=165083name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=154740name=applyelapsed=0.085 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=166242name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=165371name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=163293name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=154787name=applyelapsed=0.045 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=165525name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=163443name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=165620name=ultimatelyelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=163724name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=165631name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=163898name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=165919name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=168146name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=164144name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=164266name=finallyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=164274name=showelapsed=0.028 ML_statistics = :now=1466031731.13tasks_ready=7072tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=163size_allocation=1449132032size_allocation_free=388545104size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=1450449096threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=890.868time_GC=20.532user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=154817name=applyelapsed=0.239 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=154895name=applyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=154945name=applyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=169620name=applyelapsed=0.214 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=166823name=byelapsed=0.191 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=167061name=applyelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=169807name=applyelapsed=0.239 ML_statistics = :now=1466031731.64tasks_ready=7060tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=164size_allocation=1448083456size_allocation_free=1448083456size_heap=4191047680size_heap_free_last_full_GC=0size_heap_free_last_GC=1448707280threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=891.304time_GC=20.568user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=164380name=byelapsed=0.624 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=171766name=applyelapsed=0.117 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=169950name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=171935name=applyelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=169974name=nextelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=172122name=applyelapsed=0.080 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=170009name=haveelapsed=0.091 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=170009name=haveelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=170142name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=175031name=byelapsed=0.062 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=175382name=applyelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=175502name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=175311name=byelapsed=0.057 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=179509name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=182277name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=182372name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=179714name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=179808name=applyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=179881name=applyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=179997name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=180057name=showelapsed=0.029 ML_statistics = :now=1466031732.15tasks_ready=7047tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=165size_allocation=1444937728size_allocation_free=1444937728size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=1445696848threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=892.944time_GC=20.612user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=143632name=byelapsed=2.696 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=180400name=byelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=180521name=byelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=185636name=applyelapsed=0.058 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=184253name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=180621name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=185690name=applyelapsed=0.086 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=185724name=applyelapsed=0.082 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=184489name=applyelapsed=0.133 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=185780name=applyelapsed=0.047 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=186298name=applyelapsed=0.049 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=186368name=byelapsed=0.086 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=186409name=byelapsed=0.022 ML_statistics = :now=1466031732.68tasks_ready=7027tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=166size_allocation=1443889152size_allocation_free=1443889152size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=1444969472threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=895.192time_GC=20.656user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=180898name=applyelapsed=0.138 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=180958name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=8717name=fixelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=8744name=obtainelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=8744name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=8917name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=167322name=applyelapsed=1.461 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=175725name=applyelapsed=0.982 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=9022name=henceelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=187188name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=9556name=fixelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=9149name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=9588name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=9149name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=9588name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=9251name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=9767name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=9389name=thuselapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=187318name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=9844name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=187673name=byelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=9992name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=187261name=byelapsed=0.192 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=187712name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Finite_Cartesian_Product.thyoffset=10094name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=181543name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=181412name=applyelapsed=0.015 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:file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=2569name=byelapsed=0.110 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=2711name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=18584name=byelapsed=0.163 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=6938name=fixelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=2711name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=3793name=fixelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=7059name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=3824name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=7171name=considerelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=2868name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=3983name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=7259name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=3610name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=4127name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=8607name=showelapsed=0.022 ML_statistics = :now=1466031736.42tasks_ready=6909tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=171size_allocation=1410334720size_allocation_free=1410334720size_heap=4183707648size_heap_free_last_full_GC=0size_heap_free_last_GC=1410715752threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=908.956time_GC=20.98user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=8702name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=4202name=finallyelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=8821name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=4210name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=4264name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=19131name=byelapsed=0.101 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=10236name=applyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=20069name=fixelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=20114name=obtainelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=9954name=byelapsed=0.109 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=20114name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=10652name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=20224name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=10748name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=10831name=ultimatelyelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=20848name=byelapsed=0.070 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=10842name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=11268name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=11400name=fixelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=11528name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=11633name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=7024name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=26953name=byelapsed=0.018 ML_statistics = :now=1466031737tasks_ready=6902tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=172size_allocation=1398800384size_allocation_free=1398800384size_heap=4183707648size_heap_free_last_full_GC=0size_heap_free_last_GC=1398962008threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=911.512time_GC=21.068user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=27036name=byelapsed=0.134 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=27334name=byelapsed=0.053 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=11084name=byelapsed=0.496 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=12323name=byelapsed=0.099 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=27534name=applyelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=12395name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=27609name=applyelapsed=0.017 ### Metis: Unused theorems: "local.b" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=27726name=byelapsed=0.013 ### Metis: Unused theorems: "local.a" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=21507name=byelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=27819name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=12646name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=21749name=byelapsed=0.053 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=12937name=nextelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=12966name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=10391name=byelapsed=0.858 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=13686name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=27969name=applyelapsed=0.057 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=28193name=applyelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=13175name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=28304name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=13446name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=13881name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=28060name=applyelapsed=0.073 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=14623name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=13925name=nextelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=28667name=byelapsed=0.015 ML_statistics = :now=1466031737.5tasks_ready=6881tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=172size_allocation=1398800384size_allocation_free=314641544size_heap=4183707648size_heap_free_last_full_GC=0size_heap_free_last_GC=1398962008threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=913.112time_GC=21.068user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=14651name=nextelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=13954name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=28793name=applyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=14060name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=14680name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=28861name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=14101name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=14792name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=16266name=fixelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=14234name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=14872name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=16389name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=14304name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=15015name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=16470name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=15096name=haveelapsed=0.092 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=22545name=byelapsed=0.118 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=15197name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=22684name=byelapsed=0.118 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=29271name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=15310name=ultimatelyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=29461name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=23065name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=15321name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=31700name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=29325name=applyelapsed=0.068 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=15511name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=15665name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=29752name=applyelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=29868name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=15748name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=23292name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=23506name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=32064name=applyelapsed=0.084 ML_statistics = :now=1466031738.01tasks_ready=6870tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=173size_allocation=1389363200size_allocation_free=1389363200size_heap=4187901952size_heap_free_last_full_GC=0size_heap_free_last_GC=1390169096threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=914.124time_GC=21.128user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=23893name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=23982name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=32802name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=30454name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=31889name=byelapsed=0.271 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=30715name=byelapsed=0.058 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=24505name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=33067name=byelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=40255name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=24734name=showelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=35882name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=25340name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=24950name=showelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=25430name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=40068name=byelapsed=0.127 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=33899name=byelapsed=0.069 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=34028name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=34422name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=40410name=showelapsed=0.031 ### Ignoring duplicate rewrite rule: ### open {} \ True ### Ignoring duplicate rewrite rule: ### closed {} \ True ### Ignoring duplicate rewrite rule: ### closed UNIV \ True ### Ignoring duplicate rewrite rule: ### closed ?S1 \ closed (insert ?a1 ?S1) \ True ### Ignoring duplicate rewrite rule: ### open {?a1<..} \ True ### Ignoring duplicate rewrite rule: ### open {.. True ### Ignoring duplicate rewrite rule: ### open {?a1<.. True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=34129name=showelapsed=0.034 ### Ignoring duplicate rewrite rule: ### closed {..?a1} \ True ### Ignoring duplicate rewrite rule: ### closed {?a1..} \ True ### Ignoring duplicate rewrite rule: ### closed {?a1..?b1} \ True ### Ignoring duplicate rewrite rule: ### continuous bot ?f1 \ True ### Ignoring duplicate rewrite rule: ### continuous (at ?x1 within ?S1) (\x. x) \ True ### Ignoring duplicate rewrite rule: ### continuous ?F1 (\x. ?c1) \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=40581name=haveelapsed=0.030 ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; ?f1 ?a1 \ (0::?'b1)\ ### \ isCont (\x. inverse (?f1 x)) ?a1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=34247name=qedelapsed=0.014 ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; isCont ?g1 ?a1; ?g1 ?a1 \ (0::?'b1)\ ### \ isCont (\x. ?f1 x / ?g1 x) ?a1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=40891name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=36472name=applyelapsed=0.019 ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; isCont ?g1 ?a1; 0 < ?f1 ?a1; ?f1 ?a1 \ 1; ### 0 < ?g1 ?a1\ ### \ isCont (\x. log (?f1 x) (?g1 x)) ?a1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=41817name=byelapsed=0.081 ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; isCont ?g1 ?a1; ?f1 ?a1 \ 0\ ### \ isCont (\x. ?f1 x powr ?g1 x) ?a1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=36537name=applyelapsed=0.097 ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; cos (?f1 ?a1) \ (0::?'a1)\ ### \ isCont (\x. tan (?f1 x)) ?a1 \ True ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; sin (?f1 ?a1) \ (0::?'a1)\ ### \ isCont (\x. cot (?f1 x)) ?a1 \ True command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=9853name=byelapsed=0.029 ### Ignoring duplicate rewrite rule: ### continuous ?F1 ?g1 \ ### continuous ?F1 (\x. cnj (?g1 x)) \ True ### Ignoring duplicate rewrite rule: ### continuous_on ?s1 ?g1 \ ### continuous_on ?s1 (\x. cnj (?g1 x)) \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=44357name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=41658name=applyelapsed=0.183 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=44576name=byelapsed=0.015 ### Ignoring duplicate rewrite rule: ### open {} \ True ### Ignoring duplicate rewrite rule: ### closed {} \ True ### Ignoring duplicate rewrite rule: ### closed UNIV \ True ### Ignoring duplicate rewrite rule: ### closed ?S1 \ closed (insert ?a1 ?S1) \ True ### Ignoring duplicate rewrite rule: ### open {?a1<..} \ True ### Ignoring duplicate rewrite rule: ### open {.. True ### Ignoring duplicate rewrite rule: ### open {?a1<.. True ### Ignoring duplicate rewrite rule: ### closed {..?a1} \ True ### Ignoring duplicate rewrite rule: ### closed {?a1..} \ True ### Ignoring duplicate rewrite rule: ### closed {?a1..?b1} \ True ### Ignoring duplicate rewrite rule: ### continuous bot ?f1 \ True ### Ignoring duplicate rewrite rule: ### continuous (at ?x1 within ?S1) (\x. x) \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=46737name=fixelapsed=0.031 ### Ignoring duplicate rewrite rule: ### continuous ?F1 (\x. ?c1) \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=37018name=applyelapsed=0.048 ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; ?f1 ?a1 \ (0::?'b1)\ ### \ isCont (\x. inverse (?f1 x)) ?a1 \ True ML_statistics = :now=1466031738.53tasks_ready=6810tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=174size_allocation=1387266048size_allocation_free=1387266048size_heap=4186853376size_heap_free_last_full_GC=0size_heap_free_last_GC=1387698712threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=916.728time_GC=21.196user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; isCont ?g1 ?a1; ?g1 ?a1 \ (0::?'b1)\ ### \ isCont (\x. ?f1 x / ?g1 x) ?a1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=46792name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=37309name=byelapsed=0.032 ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; isCont ?g1 ?a1; 0 < ?f1 ?a1; ?f1 ?a1 \ 1; ### 0 < ?g1 ?a1\ ### \ isCont (\x. log (?f1 x) (?g1 x)) ?a1 \ True ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; isCont ?g1 ?a1; ?f1 ?a1 \ 0\ ### \ isCont (\x. ?f1 x powr ?g1 x) ?a1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=46868name=haveelapsed=0.029 ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; cos (?f1 ?a1) \ (0::?'a1)\ ### \ isCont (\x. tan (?f1 x)) ?a1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=37446name=applyelapsed=0.016 ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; sin (?f1 ?a1) \ (0::?'a1)\ ### \ isCont (\x. cot (?f1 x)) ?a1 \ True ### Ignoring duplicate rewrite rule: ### continuous ?F1 ?g1 \ ### continuous ?F1 (\x. cnj (?g1 x)) \ True ### Ignoring duplicate rewrite rule: ### continuous_on ?s1 ?g1 \ ### continuous_on ?s1 (\x. cnj (?g1 x)) \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=47007name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=47073name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=47220name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=37487name=byelapsed=0.087 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=42326name=byelapsed=0.184 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=37686name=byelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=42829name=byelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=45339name=byelapsed=0.079 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=45419name=applyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=43005name=applyelapsed=0.067 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=43114name=applyelapsed=0.015 ### Ignoring duplicate introduction (intro) ### open {} ### Ignoring duplicate introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Ignoring duplicate introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) ### Ignoring duplicate introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### closed {} ### Ignoring duplicate introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Ignoring duplicate introduction (intro) ### closed UNIV ### Ignoring duplicate introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Ignoring duplicate introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Ignoring duplicate introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) ### Ignoring duplicate introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=45597name=byelapsed=0.049 ### Ignoring duplicate introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Ignoring duplicate introduction (intro) ### closed ?S \ open (- ?S) ### Ignoring duplicate introduction (intro) ### open ?S \ closed (- ?S) ### Ignoring duplicate introduction (intro) ### continuous_on ?s (linepath ?a ?b) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=43302name=applyelapsed=0.094 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=48076name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=45645name=byelapsed=0.077 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=48348name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=45842name=applyelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=48604name=applyelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=38073name=byelapsed=0.032 ML_statistics = :now=1466031739.1tasks_ready=6780tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=175size_allocation=1379926016size_allocation_free=1379926016size_heap=4186853376size_heap_free_last_full_GC=0size_heap_free_last_GC=1380944064threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=919.084time_GC=21.264user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=38161name=byelapsed=0.121 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=38387name=applyelapsed=0.080 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=37800name=byelapsed=0.402 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=51561name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=51612name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=11333name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=11682name=fixelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=11415name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=11693name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=11889name=thuselapsed=0.022 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=11483name=haveelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=38855name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=11525name=finallyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=38988name=applyelapsed=0.042 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=11533name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=39081name=applyelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=51771name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=53318name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=51820name=obtainelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=39473name=applyelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=39586name=applyelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=38650name=applyelapsed=0.287 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=51820name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=54256name=fixelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=13381name=thuselapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=52133name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=52133name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=54306name=obtainelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=1838name=applyelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=52300name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=54306name=obtainelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=1910name=applyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=52300name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=1991name=applyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=54662name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=180814name=byelapsed=7.052 ### Ignoring duplicate rewrite rule: ### of_nat (Suc ?m1) \ (1::?'a1) + of_nat ?m1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=52349name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=54709name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=52349name=obtainelapsed=0.028 ML_statistics = :now=1466031739.6tasks_ready=6764tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=175size_allocation=1379926016size_allocation_free=834632720size_heap=4186853376size_heap_free_last_full_GC=0size_heap_free_last_GC=1380944064threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=920.596time_GC=21.264user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=52421name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=54790name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=52532name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=54923name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=52620name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=55076name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=2149name=applyelapsed=0.151 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=52962name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=55209name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=53098name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=55362name=showelapsed=0.036 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=14510name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=14601name=nextelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=2217name=byelapsed=0.120 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=14625name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=2860name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Order_Continuity.thyoffset=14717name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=17939name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=2308name=byelapsed=0.114 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=8902name=obtainelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=10155name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=2801name=byelapsed=0.345 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=8902name=obtainelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=9061name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=9135name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=3149name=byelapsed=0.109 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=18357name=byelapsed=0.085 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=9212name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=18139name=byelapsed=0.125 ### Ignoring duplicate rewrite rule: ### of_nat (Suc ?m1) \ (1::?'a1) + of_nat ?m1 ### Ignoring duplicate rewrite rule: ### of_nat (Suc ?m1) \ (1::?'a1) + of_nat ?m1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=3649name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=3546name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=9268name=haveelapsed=0.098 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=11546name=byelapsed=0.069 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=10784name=byelapsed=0.069 ### Ignoring duplicate rewrite rule: ### of_nat (Suc ?m1) \ (1::?'a1) + of_nat ?m1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=3738name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=9319name=haveelapsed=0.035 ML_statistics = :now=1466031740.15tasks_ready=6740tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=176size_allocation=1372585984size_allocation_free=1372585984size_heap=4187901952size_heap_free_last_full_GC=0size_heap_free_last_GC=1372652904threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=922.768time_GC=21.324user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=1596name=byelapsed=0.057 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=9366name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=19068name=byelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=9470name=finallyelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=3928name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=9478name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=4078name=haveelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=9600name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=9680name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=4343name=haveelapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=9742name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=4469name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=9811name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=19269name=byelapsed=0.044 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=11197name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=9923name=ultimatelyelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=22034name=applyelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=4672name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=9934name=showelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=11302name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=22250name=applyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=19403name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=11302name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=11647name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=11368name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=4776name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=11816name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=19510name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=12019name=ultimatelyelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=19722name=haveelapsed=0.030 ML_statistics = :now=1466031740.67tasks_ready=6743tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=177size_allocation=1368391680size_allocation_free=1368391680size_heap=4188950528size_heap_free_last_full_GC=0size_heap_free_last_GC=1368529000threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=924.852time_GC=21.368user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=12030name=showelapsed=0.079 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=19919name=ultimatelyelapsed=0.077 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=19930name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=4908name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=20128name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=5008name=haveelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=12310name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=5094name=finallyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=5102name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=5129name=nextelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=5164name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=10510name=byelapsed=0.928 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=5267name=haveelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=5934name=byelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=20717name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=5364name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=6184name=applyelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=11111name=byelapsed=0.831 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=5459name=haveelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=5682name=haveelapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=5762name=finallyelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=5770name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=12552name=byelapsed=0.142 ML_statistics = :now=1466031741.18tasks_ready=6738tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=177size_allocation=1368391680size_allocation_free=418434576size_heap=4188950528size_heap_free_last_full_GC=0size_heap_free_last_GC=1368529000threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=926.404time_GC=21.368user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=6459name=applyelapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=6561name=applyelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=6628name=applyelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=20836name=byelapsed=0.185 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=12859name=byelapsed=0.108 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=20377name=applyelapsed=0.557 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=20394name=applyelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=12684name=byelapsed=0.384 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=21086name=byelapsed=0.064 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=20454name=applyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=6813name=byelapsed=0.066 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=13187name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=21279name=applyelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=13242name=byelapsed=0.025 ### Ignoring duplicate rewrite rule: ### of_nat (Suc ?m1) \ (1::?'a1) + of_nat ?m1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=22795name=applyelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=21442name=applyelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=28476name=applyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=20541name=byelapsed=0.073 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=22850name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=28492name=applyelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=13437name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=13497name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=23005name=byelapsed=0.081 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=28685name=applyelapsed=0.075 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=3179name=byelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=13723name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=23534name=byelapsed=0.043 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=13961name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=28601name=byelapsed=0.184 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=23949name=byelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=14047name=byelapsed=0.019 ML_statistics = :now=1466031741.69tasks_ready=6696tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=178size_allocation=1364197376size_allocation_free=455724840size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=1364993728threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=928.544time_GC=21.408user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=14195name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=23716name=applyelapsed=0.131 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=24149name=byelapsed=0.015 ### Ignoring duplicate rewrite rule: ### of_nat (Suc ?m1) \ (1::?'a1) + of_nat ?m1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=29361name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=24257name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=29297name=byelapsed=0.050 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=3337name=byelapsed=0.166 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=29454name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=14629name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=3971name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=29650name=applyelapsed=0.060 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=24335name=byelapsed=0.127 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=29860name=applyelapsed=0.115 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=15389name=applyelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=25086name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=4890name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=29964name=applyelapsed=0.081 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=5770name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=15772name=applyelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=4940name=byelapsed=0.114 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=30581name=byelapsed=0.202 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=25259name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=6031name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=31706name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=5068name=byelapsed=0.083 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=25171name=byelapsed=0.209 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=15877name=byelapsed=0.090 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=7428name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=31796name=nextelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=31825name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=6413name=byelapsed=0.060 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=31890name=nextelapsed=0.031 ML_statistics = :now=1466031742.2tasks_ready=6648tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=179size_allocation=1361051648size_allocation_free=1361051648size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=1361763688threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=929.356time_GC=21.456user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=6249name=byelapsed=0.107 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=16249name=byelapsed=0.091 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=25597name=applyelapsed=0.029 ### Ignoring duplicate rewrite rule: ### of_nat (Suc ?m1) \ (1::?'a1) + of_nat ?m1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=31917name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=6581name=byelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=7670name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=32016name=nextelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=7768name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=25635name=applyelapsed=0.057 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=32044name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=25957name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=6688name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=16444name=applyelapsed=0.128 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=7869name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=25800name=applyelapsed=0.072 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=7975name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=26052name=applyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=16878name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=26498name=applyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=17005name=nextelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=26161name=applyelapsed=0.054 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=16669name=applyelapsed=0.173 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=17044name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=17273name=byelapsed=0.066 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=26690name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=26590name=byelapsed=0.057 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=26781name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=8267name=byelapsed=0.049 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=11023name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=11101name=nextelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=8170name=byelapsed=0.145 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=11135name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=8475name=byelapsed=0.075 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=11513name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=17436name=byelapsed=0.259 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=26945name=haveelapsed=0.073 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=11627name=byelapsed=0.072 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=8574name=byelapsed=0.088 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=26993name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=28010name=byelapsed=0.012 ML_statistics = :now=1466031742.73tasks_ready=6619tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=180size_allocation=1356857344size_allocation_free=1356857344size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=1357072632threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=932.084time_GC=21.496user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=12117name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=27019name=nextelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=35905name=byelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=27942name=byelapsed=0.081 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=8980name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=36024name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=36112name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=27051name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=12250name=byelapsed=0.016 ### Ignoring duplicate rewrite rule: ### of_nat (Suc ?m1) \ (1::?'a1) + of_nat ?m1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=36396name=applyelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=9096name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=38423name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=38755name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=27172name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=9163name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=36862name=byelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=27292name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=9163name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=9268name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=27390name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=37314name=byelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=40141name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=9333name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=27643name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=9457name=fixelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=27852name=finallyelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=37110name=applyelapsed=0.113 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=37512name=byelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=27860name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=9504name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=40569name=applyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=9636name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=41532name=byelapsed=0.044 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=9743name=finallyelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=40931name=applyelapsed=0.066 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=37686name=applyelapsed=0.101 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=9751name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=41797name=applyelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=42177name=applyelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=42024name=byelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=9817name=fixelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=42757name=applyelapsed=0.025 ### Ignoring duplicate introduction (intro) ### open {} ### Ignoring duplicate introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Ignoring duplicate introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=43254name=applyelapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=9851name=haveelapsed=0.032 ### Ignoring duplicate introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### closed {} ### Ignoring duplicate introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Ignoring duplicate introduction (intro) ### closed UNIV ### Ignoring duplicate introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Ignoring duplicate introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Ignoring duplicate introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=9958name=ultimatelyelapsed=0.029 ### Ignoring duplicate introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Ignoring duplicate introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Ignoring duplicate introduction (intro) ### closed ?S \ open (- ?S) ### Ignoring duplicate introduction (intro) ### open ?S \ closed (- ?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=14716name=byelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=14842name=byelapsed=0.010 ### Ignoring duplicate introduction (intro) ### continuous_on ?s (linepath ?a ?b) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=9969name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=43940name=applyelapsed=0.121 ML_statistics = 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command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=10199name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=15022name=byelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=10260name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=15118name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=45174name=applyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=46622name=applyelapsed=0.094 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=47297name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=47160name=byelapsed=0.098 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=47339name=nextelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=15783name=byelapsed=0.056 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=47368name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=16992name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=47402name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=17097name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=46412name=applyelapsed=0.304 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=15709name=byelapsed=0.293 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=15886name=byelapsed=0.166 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=18557name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=16097name=byelapsed=0.047 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=47898name=applyelapsed=0.195 ML_statistics = :now=1466031743.82tasks_ready=6569tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=181size_allocation=1353711616size_allocation_free=1353711616size_heap=4182659072size_heap_free_last_full_GC=0size_heap_free_last_GC=1355633288threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=935.636time_GC=21.596user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=17422name=byelapsed=0.142 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=17518name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=17305name=byelapsed=0.324 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=19720name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=18751name=byelapsed=0.192 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=18877name=byelapsed=0.065 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=16298name=byelapsed=0.288 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=17892name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=17722name=byelapsed=0.088 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=20737name=interpretelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=20737name=interpretelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=19124name=byelapsed=0.131 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=20790name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=19918name=byelapsed=0.145 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=20886name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=17982name=byelapsed=0.055 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=21002name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=23049name=interpretelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=19285name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=21161name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=23049name=interpretelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=18020name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=21208name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=19388name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=23205name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=19426name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=21360name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=24654name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=21547name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=24716name=ultimatelyelapsed=0.026 ML_statistics = :now=1466031744.32tasks_ready=6553tasks_pending=1tasks_running=6tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=181size_allocation=1353711616size_allocation_free=687889784size_heap=4182659072size_heap_free_last_full_GC=0size_heap_free_last_GC=1355633288threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=937.228time_GC=21.596user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=21658name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=24727name=showelapsed=0.028 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=38672name=interpretelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=62942name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=63142name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=79649name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=38672name=interpretelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=63417name=byelapsed=0.058 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=38717name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=77533name=byelapsed=0.098 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=63629name=byelapsed=0.067 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=38847name=obtainelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=64172name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=38847name=obtainelapsed=0.030 ML_statistics = :now=1466031748.23tasks_ready=6557tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=185size_allocation=1325400064size_allocation_free=642599328size_heap=4140716032size_heap_free_last_full_GC=0size_heap_free_last_GC=1326463392threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=951.548time_GC=22.072user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=64290name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=79936name=applyelapsed=0.059 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=39044name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=80376name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=64450name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=28818name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=39145name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=64534name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=39235name=haveelapsed=0.030 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=28969name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=65010name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=40306name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=29932name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=30117name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=40306name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=65941name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=29617name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=40438name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=66370name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=66552name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=66835name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=40581name=ultimatelyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=67255name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=66970name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=80490name=byelapsed=0.365 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=82801name=applyelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=40592name=haveelapsed=0.028 command_timing = 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:now=1466031748.8tasks_ready=6536tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=186size_allocation=1225785344size_allocation_free=1225785344size_heap=4149104640size_heap_free_last_full_GC=0size_heap_free_last_GC=1226665552threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=952.528time_GC=22.14user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=67905name=byelapsed=0.043 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=31045name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=41055name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=31416name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=83034name=applyelapsed=0.162 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=41223name=finallyelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=84397name=byelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=87968name=byelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=41231name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=88213name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=89802name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=41427name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=88317name=byelapsed=0.011 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command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=94498name=byelapsed=0.045 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=100786name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=97161name=showelapsed=0.142 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=99075name=showelapsed=0.064 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=97161name=showelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=94700name=haveelapsed=0.031 ML_statistics = :now=1466031749.35tasks_ready=6498tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=187size_allocation=1263534080size_allocation_free=1263534080size_heap=4185804800size_heap_free_last_full_GC=0size_heap_free_last_GC=1264850440threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=955.26time_GC=22.212user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=94779name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=99235name=showelapsed=0.052 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=95054name=byelapsed=0.067 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=97321name=showelapsed=0.047 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=101241name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=99235name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=97423name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=101016name=byelapsed=0.076 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=99336name=showelapsed=0.056 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=101383name=applyelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=95190name=showelapsed=0.056 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=103353name=byelapsed=0.011 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=108931name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=95876name=showelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=107858name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=103815name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=96029name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=107628name=byelapsed=0.138 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=109007name=byelapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=36094name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=103865name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=109337name=obtainelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=104157name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=118997name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=109337name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=104239name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=119103name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=109618name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=104987name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=119392name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=109728name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=105124name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=119681name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=103912name=byelapsed=0.148 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=109784name=ultimatelyelapsed=0.029 ### Ignoring duplicate rewrite rule: ### open {} \ True ### Ignoring duplicate rewrite rule: ### closed {} \ True ### Ignoring duplicate rewrite rule: ### closed UNIV \ True ### Ignoring duplicate rewrite rule: ### closed ?S1 \ closed (insert ?a1 ?S1) \ True ### Ignoring duplicate rewrite rule: ### open {?a1<..} \ True ### Ignoring duplicate rewrite rule: ### open {.. True ### Ignoring duplicate rewrite rule: ### open {?a1<.. True ### Ignoring duplicate rewrite rule: ### closed {..?a1} \ True ### Ignoring duplicate rewrite rule: ### closed {?a1..} \ True ### Ignoring duplicate rewrite rule: ### closed {?a1..?b1} \ True ### Ignoring duplicate rewrite rule: ### continuous bot ?f1 \ True ### Ignoring duplicate rewrite rule: ### continuous (at ?x1 within ?S1) (\x. x) \ True ### Ignoring duplicate rewrite rule: ### continuous ?F1 (\x. ?c1) \ True ### Ignoring duplicate rewrite rule: ### open {} \ True ### Ignoring duplicate rewrite rule: ### closed {} \ True ### Ignoring duplicate rewrite rule: ### closed UNIV \ True ### Ignoring duplicate rewrite rule: ### closed ?S1 \ closed (insert ?a1 ?S1) \ True ### Ignoring duplicate rewrite rule: ### open {?a1<..} \ True ### Ignoring duplicate rewrite rule: ### open {.. True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=120018name=haveelapsed=0.030 ### Ignoring duplicate rewrite rule: ### open {?a1<.. True ### Ignoring duplicate rewrite rule: ### closed {..?a1} \ True ### Ignoring duplicate rewrite rule: ### closed {?a1..} \ True ### Ignoring duplicate rewrite rule: ### closed {?a1..?b1} \ True ### Ignoring duplicate rewrite rule: ### continuous bot ?f1 \ True ### Ignoring duplicate rewrite rule: ### continuous (at ?x1 within ?S1) (\x. x) \ True ### Ignoring duplicate rewrite rule: ### continuous ?F1 (\x. ?c1) \ True ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; ?f1 ?a1 \ (0::?'b1)\ ### \ isCont (\x. inverse (?f1 x)) ?a1 \ True ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; ?f1 ?a1 \ (0::?'b1)\ ### \ isCont (\x. inverse (?f1 x)) ?a1 \ True ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; isCont ?g1 ?a1; ?g1 ?a1 \ (0::?'b1)\ ### \ isCont (\x. ?f1 x / ?g1 x) ?a1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=109795name=obtainelapsed=0.039 ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; isCont ?g1 ?a1; ?g1 ?a1 \ (0::?'b1)\ ### \ isCont (\x. ?f1 x / ?g1 x) ?a1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=120355name=haveelapsed=0.033 ML_statistics = :now=1466031749.86tasks_ready=6485tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=187size_allocation=1263534080size_allocation_free=541938056size_heap=4185804800size_heap_free_last_full_GC=0size_heap_free_last_GC=1264850440threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=956.636time_GC=22.212user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; isCont ?g1 ?a1; 0 < ?f1 ?a1; ?f1 ?a1 \ 1; ### 0 < ?g1 ?a1\ ### \ isCont (\x. log (?f1 x) (?g1 x)) ?a1 \ True ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; isCont ?g1 ?a1; 0 < ?f1 ?a1; ?f1 ?a1 \ 1; ### 0 < ?g1 ?a1\ ### \ isCont (\x. log (?f1 x) (?g1 x)) ?a1 \ True ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; isCont ?g1 ?a1; ?f1 ?a1 \ 0\ ### \ isCont (\x. ?f1 x powr ?g1 x) ?a1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=109795name=obtainelapsed=0.032 ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; cos (?f1 ?a1) \ (0::?'a1)\ ### \ isCont (\x. tan (?f1 x)) ?a1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=120725name=haveelapsed=0.033 ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; isCont ?g1 ?a1; ?f1 ?a1 \ 0\ ### \ isCont (\x. ?f1 x powr ?g1 x) ?a1 \ True ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; sin (?f1 ?a1) \ (0::?'a1)\ ### \ isCont (\x. cot (?f1 x)) ?a1 \ True ### Ignoring duplicate rewrite rule: ### continuous ?F1 ?g1 \ ### continuous ?F1 (\x. cnj (?g1 x)) \ True ### Ignoring duplicate rewrite rule: ### continuous_on ?s1 ?g1 \ ### continuous_on ?s1 (\x. cnj (?g1 x)) \ True ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; cos (?f1 ?a1) \ (0::?'a1)\ ### \ isCont (\x. tan (?f1 x)) ?a1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=115207name=byelapsed=0.099 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=110034name=haveelapsed=0.031 ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; sin (?f1 ?a1) \ (0::?'a1)\ ### \ isCont (\x. cot (?f1 x)) ?a1 \ True ### Ignoring duplicate rewrite rule: ### continuous ?F1 ?g1 \ ### continuous ?F1 (\x. cnj (?g1 x)) \ True ### Ignoring duplicate rewrite rule: ### continuous_on ?s1 ?g1 \ ### continuous_on ?s1 (\x. cnj (?g1 x)) \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=120832name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=115393name=byelapsed=0.115 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=128800name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=110081name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=115494name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=128906name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=115568name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=110182name=obtainelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=115626name=byelapsed=0.066 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=129206name=haveelapsed=0.089 ### Ignoring duplicate rewrite rule: ### open {} \ True ### Ignoring duplicate rewrite rule: ### closed {} \ True ### Ignoring duplicate rewrite rule: ### closed UNIV \ True ### Ignoring duplicate rewrite rule: ### closed ?S1 \ closed (insert ?a1 ?S1) \ True ### Ignoring duplicate rewrite rule: ### open {?a1<..} \ True ### Ignoring duplicate rewrite rule: ### open {.. True ### Ignoring duplicate rewrite rule: ### open {?a1<.. True ### Ignoring duplicate rewrite rule: ### closed {..?a1} \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=110182name=obtainelapsed=0.090 ### Ignoring duplicate rewrite rule: ### closed {?a1..} \ True ### Ignoring duplicate rewrite rule: ### closed {?a1..?b1} \ True ### Ignoring duplicate rewrite rule: ### continuous bot ?f1 \ True ### Ignoring duplicate rewrite rule: ### continuous (at ?x1 within ?S1) (\x. x) \ True ### Ignoring duplicate rewrite rule: ### continuous ?F1 (\x. ?c1) \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=129506name=haveelapsed=0.030 ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; ?f1 ?a1 \ (0::?'b1)\ ### \ isCont (\x. inverse (?f1 x)) ?a1 \ True ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; isCont ?g1 ?a1; ?g1 ?a1 \ (0::?'b1)\ ### \ isCont (\x. ?f1 x / ?g1 x) ?a1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=110466name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=129848name=haveelapsed=0.030 ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; isCont ?g1 ?a1; 0 < ?f1 ?a1; ?f1 ?a1 \ 1; ### 0 < ?g1 ?a1\ ### \ isCont (\x. log (?f1 x) (?g1 x)) ?a1 \ True ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; isCont ?g1 ?a1; ?f1 ?a1 \ 0\ ### \ isCont (\x. ?f1 x powr ?g1 x) ?a1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=110540name=showelapsed=0.031 ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; cos (?f1 ?a1) \ (0::?'a1)\ ### \ isCont (\x. tan (?f1 x)) ?a1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=130190name=haveelapsed=0.033 ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; sin (?f1 ?a1) \ (0::?'a1)\ ### \ isCont (\x. cot (?f1 x)) ?a1 \ True ### Ignoring duplicate rewrite rule: ### continuous ?F1 ?g1 \ ### continuous ?F1 (\x. cnj (?g1 x)) \ True ### Ignoring duplicate rewrite rule: ### continuous_on ?s1 ?g1 \ ### continuous_on ?s1 (\x. cnj (?g1 x)) \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=122121name=byelapsed=0.096 ### Ignoring duplicate rewrite rule: ### open {} \ True ### Ignoring duplicate rewrite rule: ### closed {} \ True ### Ignoring duplicate rewrite rule: ### closed UNIV \ True ### Ignoring duplicate rewrite rule: ### closed ?S1 \ closed (insert ?a1 ?S1) \ True ### Ignoring duplicate rewrite rule: ### open {?a1<..} \ True ### Ignoring duplicate rewrite rule: ### open {.. True ### Ignoring duplicate rewrite rule: ### open {?a1<.. True ### Ignoring duplicate rewrite rule: ### closed {..?a1} \ True ### Ignoring duplicate rewrite rule: ### closed {?a1..} \ True ### Ignoring duplicate rewrite rule: ### closed {?a1..?b1} \ True ### Ignoring duplicate rewrite rule: ### continuous bot ?f1 \ True ### Ignoring duplicate rewrite rule: ### continuous (at ?x1 within ?S1) (\x. x) \ True ### Ignoring duplicate rewrite rule: ### continuous ?F1 (\x. ?c1) \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=130565name=haveelapsed=0.032 ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; ?f1 ?a1 \ (0::?'b1)\ ### \ isCont (\x. inverse (?f1 x)) ?a1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=116070name=byelapsed=0.047 ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; isCont ?g1 ?a1; ?g1 ?a1 \ (0::?'b1)\ ### \ isCont (\x. ?f1 x / ?g1 x) ?a1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=130687name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=122411name=byelapsed=0.020 ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; isCont ?g1 ?a1; 0 < ?f1 ?a1; ?f1 ?a1 \ 1; ### 0 < ?g1 ?a1\ ### \ isCont (\x. log (?f1 x) (?g1 x)) ?a1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=122485name=byelapsed=0.020 ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; isCont ?g1 ?a1; ?f1 ?a1 \ 0\ ### \ isCont (\x. ?f1 x powr ?g1 x) ?a1 \ True ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; cos (?f1 ?a1) \ (0::?'a1)\ ### \ isCont (\x. tan (?f1 x)) ?a1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=116280name=byelapsed=0.013 ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; sin (?f1 ?a1) \ (0::?'a1)\ ### \ isCont (\x. cot (?f1 x)) ?a1 \ True ### Ignoring duplicate rewrite rule: ### continuous ?F1 ?g1 \ ### continuous ?F1 (\x. cnj (?g1 x)) \ True ### Ignoring duplicate rewrite rule: ### continuous_on ?s1 ?g1 \ ### continuous_on ?s1 (\x. cnj (?g1 x)) \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=122310name=byelapsed=0.095 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=121589name=byelapsed=0.349 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=116543name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=122799name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=116693name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=117488name=applyelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=116863name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=117868name=applyelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=116212name=byelapsed=0.136 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=123569name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=117041name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=123503name=byelapsed=0.051 ML_statistics = :now=1466031750.39tasks_ready=6463tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=188size_allocation=1255145472size_allocation_free=1255145472size_heap=4187901952size_heap_free_last_full_GC=0size_heap_free_last_GC=1256127048threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=957.956time_GC=22.264user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=123736name=byelapsed=0.049 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=124048name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=118486name=byelapsed=0.054 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=123844name=byelapsed=0.083 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=124199name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=124761name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=39616name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=125361name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=124398name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=118180name=applyelapsed=0.159 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=39723name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=125919name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=124578name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=126051name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=39982name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=126111name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=4357name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=40342name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=126383name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=5141name=letelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=4641name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=126635name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=5203name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=41309name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=126970name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=60343name=fixelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=5251name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=127305name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=60426name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=59285name=byelapsed=0.042 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=60291name=byelapsed=0.048 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=62968name=fixelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=64829name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=74513name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=73333name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=65019name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=63003name=obtainelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=73362name=obtainelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=76735name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=65253name=nextelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=63003name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=73362name=obtainelapsed=0.028 ML_statistics = :now=1466031756.13tasks_ready=6212tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=193size_allocation=1223688192size_allocation_free=123934560size_heap=4183707648size_heap_free_last_full_GC=0size_heap_free_last_GC=1224441672threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=980.536time_GC=22.62user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=65262name=fixelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=77340name=showelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=63228name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=73584name=obtainelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=63325name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=70435name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=65301name=haveelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=73584name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=63381name=fixelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=65737name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=70494name=fixelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=73806name=obtainelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=81845name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=70552name=obtainelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=63416name=obtainelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=73806name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=70552name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=63416name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=73972name=letelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=63630name=haveelapsed=0.114 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=70640name=haveelapsed=0.116 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=74018name=haveelapsed=0.116 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=70786name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=63692name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=74197name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=63692name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=70872name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=74386name=finallyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=74394name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=63814name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=70970name=ultimatelyelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=63970name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=70981name=showelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=82022name=byelapsed=0.050 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=64045name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=83862name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=85619name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=78624name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=85692name=proofelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=83900name=obtainelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=78624name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=85769name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=78699name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=83900name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=85852name=obtainelapsed=0.038 ML_statistics = :now=1466031756.67tasks_ready=6219tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=194size_allocation=1209008128size_allocation_free=1209008128size_heap=4183707648size_heap_free_last_full_GC=0size_heap_free_last_GC=1210189352threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=981.352time_GC=22.704user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=84102name=obtainelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=78750name=obtainelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=85852name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=78750name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=84102name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=78963name=fixelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=86088name=obtainelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=84304name=showelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=80014name=proofelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=86088name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=79037name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=80059name=fixelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=86281name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=79153name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=80099name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=79317name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=80142name=obtainelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=79439name=finallyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=80142name=obtainelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=79447name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=80365name=showelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=79539name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=79790name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=88217name=byelapsed=0.053 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=88616name=byelapsed=0.033 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=21806name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=22016name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=91034name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=92805name=byelapsed=0.089 ML_statistics = :now=1466031757.17tasks_ready=6204tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=194size_allocation=1209008128size_allocation_free=27274224size_heap=4183707648size_heap_free_last_full_GC=0size_heap_free_last_GC=1210189352threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=984.548time_GC=22.704user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=95918name=applyelapsed=0.102 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=23676name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=88073name=byelapsed=0.602 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=77774name=byelapsed=1.173 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=94545name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=99911name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=101554name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=100846name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=104993name=applyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=105567name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=100878name=guesselapsed=0.065 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=100970name=doneelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=101008name=showelapsed=0.035 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=22765name=byelapsed=0.319 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=102820name=fixelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=102178name=guesselapsed=0.058 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=102860name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=102220name=..elapsed=0.029 ML_statistics = :now=1466031757.71tasks_ready=6167tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=195size_allocation=1198522368size_allocation_free=351772576size_heap=4183707648size_heap_free_last_full_GC=0size_heap_free_last_GC=1199332664threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=986.192time_GC=22.788user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=102239name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=102894name=guesselapsed=0.063 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=102941name=..elapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=102966name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=103012name=guesselapsed=0.108 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=103035name=..elapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=108120name=byelapsed=0.226 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=103055name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=103129name=fixelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=103213name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=103349name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=103721name=ultimatelyelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=105873name=byelapsed=0.597 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=108623name=byelapsed=0.178 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=109290name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=103732name=showelapsed=0.040 ### Ignoring duplicate rewrite rule: ### support ?opp1 ?f1 {} \ {} ### Ignoring duplicate rewrite rule: ### support ?opp1 ?f1 {} \ {} command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=4237name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=111289name=applyelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=4390name=applyelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=111823name=byelapsed=0.015 ML_statistics = :now=1466031758.26tasks_ready=6156tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=196size_allocation=1189085184size_allocation_free=1189085184size_heap=4187901952size_heap_free_last_full_GC=0size_heap_free_last_GC=1189669160threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=986.996time_GC=22.828user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=111628name=applyelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=120489name=applyelapsed=0.090 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=111892name=fixelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=109509name=byelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=112009name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=124438name=fixelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=124480name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=112751name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=113505name=haveelapsed=0.039 ### Introduced fixed type variable(s): 'c, 'd, 'e in "P__" or "fa__" or "s__" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=124562name=guesselapsed=0.061 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=113646name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=124570name=.elapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=113894name=fixelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=121939name=byelapsed=0.240 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=124601name=letelapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=113927name=fixelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=122022name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=124835name=showelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=114045name=obtainelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=128236name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=125555name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=114045name=obtainelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=128418name=nextelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=122162name=obtainelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=114199name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=128442name=haveelapsed=0.102 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=114280name=haveelapsed=0.082 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=122162name=obtainelapsed=0.098 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=128966name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=114391name=haveelapsed=0.044 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=129945name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=122243name=guesselapsed=0.059 ML_statistics = :now=1466031758.78tasks_ready=6158tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=197size_allocation=1192230912size_allocation_free=1192230912size_heap=4188950528size_heap_free_last_full_GC=0size_heap_free_last_GC=1193349008threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=989.788time_GC=22.876user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=114661name=letelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=129995name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=122274name=..elapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=114746name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=122297name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=114859name=haveelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=122370name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=130822name=byelapsed=0.070 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=116267name=letelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=122534name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=131134name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=131194name=fixelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=116350name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=122706name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=131208name=assumeelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=122818name=finallyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=116463name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=122826name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=117847name=ultimatelyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=131504name=guesselapsed=0.043 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=23565name=byelapsed=1.930 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=131520name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=122950name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=117862name=haveelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=132605name=fixelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=132619name=assumeelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=123027name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=131551name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=118020name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=123467name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=131715name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=118117name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=132915name=guesselapsed=0.055 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=136904name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=131818name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=132925name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=136964name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=118241name=haveelapsed=0.045 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=132115name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=132955name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=137074name=applyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=118443name=haveelapsed=0.045 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=133119name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=137352name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=134532name=applyelapsed=0.081 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=133222name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=118847name=haveelapsed=0.044 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=133519name=showelapsed=0.031 ML_statistics = :now=1466031759.28tasks_ready=6167tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=197size_allocation=1192230912size_allocation_free=720847080size_heap=4188950528size_heap_free_last_full_GC=0size_heap_free_last_GC=1193349008threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=991.348time_GC=22.876user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=119490name=finallyelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=135056name=applyelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=134905name=byelapsed=0.080 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=135137name=applyelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=123722name=byelapsed=0.062 ### Ignoring duplicate rewrite rule: ### support ?opp1 ?f1 {} \ {} command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=119498name=haveelapsed=0.056 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=139020name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=119808name=finallyelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=139110name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=110171name=byelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=139948name=proofelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=139171name=nextelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=119816name=showelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=138037name=applyelapsed=0.115 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=140027name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=139237name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=148532name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=135826name=applyelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=139356name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=139451name=ultimatelyelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=135675name=byelapsed=0.079 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=135907name=applyelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=149279name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=139462name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=151048name=applyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=152226name=byelapsed=0.083 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=151356name=applyelapsed=0.102 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=139591name=showelapsed=0.108 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=152489name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=151627name=applyelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=152359name=byelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=156037name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=155503name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=156991name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=157020name=nextelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=156085name=guesselapsed=0.051 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=148710name=byelapsed=0.311 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=157044name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=156144name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=159028name=applyelapsed=0.022 ML_statistics = :now=1466031759.84tasks_ready=6128tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=198size_allocation=1185939456size_allocation_free=1185939456size_heap=4184756224size_heap_free_last_full_GC=0size_heap_free_last_GC=1186454064threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=993.288time_GC=22.952user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=156194name=guesselapsed=0.060 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=168793name=byelapsed=0.054 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=154014name=byelapsed=0.141 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=168307name=byelapsed=0.066 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=156253name=byelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=169132name=applyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=170107name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=170192name=byelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=169175name=applyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=156303name=obtainelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=162370name=fixelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=169209name=applyelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=170280name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=156303name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=169283name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=162410name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=170347name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=172182name=fixelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=156544name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=162506name=obtainelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=156765name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=170849name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=172264name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=178048name=applyelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=162506name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=165140name=fixelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=173504name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=178260name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=162678name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=181499name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=165183name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=178363name=nextelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=182077name=showelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=165218name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=182232name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=178395name=guesselapsed=0.053 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=183005name=guesselapsed=0.056 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=165218name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=165323name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=183023name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=178428name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=183057name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=182370name=qedelapsed=0.089 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=183194name=nextelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=178562name=guesselapsed=0.056 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=165432name=guesselapsed=0.056 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=191518name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=165441name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=178571name=..elapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=183203name=showelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=178608name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=183789name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=165538name=guesselapsed=0.055 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=190312name=applyelapsed=0.056 ML_statistics = :now=1466031760.34tasks_ready=6118tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=198size_allocation=1185939456size_allocation_free=695211480size_heap=4184756224size_heap_free_last_full_GC=0size_heap_free_last_GC=1186454064threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=994.708time_GC=22.952user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=194837name=applyelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=165547name=..elapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=178796name=guesselapsed=0.052 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=165596name=fixelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=184120name=guesselapsed=0.059 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=178806name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=194913name=applyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=193211name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=178838name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=184128name=..elapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=195064name=applyelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=165736name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=193679name=applyelapsed=0.010 ### Rule already declared as 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:file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=347056name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=319517name=guesselapsed=0.058 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=341964name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=347218name=nextelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=319526name=..elapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=347243name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=342191name=haveelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=328473name=applyelapsed=0.358 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=343829name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=319656name=guesselapsed=0.058 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=331573name=applyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=347868name=applyelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=346072name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=348524name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=319665name=.elapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=339723name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=331714name=haveelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=319676name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=320028name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=349838name=applyelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=320234name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=321703name=fixelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=351705name=applyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=332055name=guesselapsed=0.061 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=321159name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=322583name=fixelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=332063name=..elapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=321307name=ultimatelyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=321869name=guesselapsed=0.058 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=332123name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=321318name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=321879name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=322824name=guesselapsed=0.054 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=321910name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=44528name=fixelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=44602name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=322007name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=332514name=guesselapsed=0.053 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=322834name=byelapsed=0.027 ML_statistics = :now=1466031765.09tasks_ready=6083tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=202size_allocation=1158676480size_allocation_free=722490464size_heap=4179513344size_heap_free_last_full_GC=0size_heap_free_last_GC=1159842368threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1012.424time_GC=23.244user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=351968name=fixelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=322118name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=322865name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=332522name=..elapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=322995name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=352010name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=322197name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=332570name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=323205name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=322288name=qedelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=352132name=guesselapsed=0.058 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=323666name=fixelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=333224name=guesselapsed=0.059 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=323302name=qedelapsed=0.045 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=352141name=..elapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=333232name=..elapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=323841name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=324082name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=333334name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=352276name=guesselapsed=0.056 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=358091name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=358967name=byelapsed=0.043 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=324506name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=352285name=..elapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=359244name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=324610name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=377689name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=359284name=obtainelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=324997name=nextelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=377736name=nextelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=352414name=guesselapsed=0.055 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=359284name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=325017name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=377767name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=352422name=.elapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=359460name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=352440name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=325662name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=378038name=obtainelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=325701name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=378038name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=384305name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=359869name=guesselapsed=0.058 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=388221name=byelapsed=0.027 ### Ignoring duplicate rewrite rule: ### ?r1 *\<^sub>R ?x1 \ ?y1 \ ?r1 * (?x1 \ ?y1) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=378258name=obtainelapsed=0.034 ### Ignoring duplicate rewrite rule: ### ?x1 \ ?r1 *\<^sub>R ?y1 \ ?r1 * (?x1 \ ?y1) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=384539name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=359877name=..elapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=378258name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=384865name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=359937name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=378435name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=384938name=finallyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=384946name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=378531name=obtainelapsed=0.032 ML_statistics = :now=1466031765.59tasks_ready=6084tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=202size_allocation=1158676480size_allocation_free=227854480size_heap=4179513344size_heap_free_last_full_GC=0size_heap_free_last_GC=1159842368threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=2threads_wait_signal=1time_CPU=1015.624time_GC=23.244user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ### Ignoring duplicate rewrite rule: ### ?r1 *\<^sub>R ?x1 \ ?y1 \ ?r1 * (?x1 \ ?y1) ### Ignoring duplicate rewrite rule: ### ?x1 \ ?r1 *\<^sub>R ?y1 \ ?r1 * (?x1 \ ?y1) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=360016name=guesselapsed=0.060 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=378531name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=360024name=.elapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=378596name=showelapsed=0.032 ### Ignoring duplicate rewrite rule: ### ?r1 *\<^sub>R ?x1 \ ?y1 \ ?r1 * (?x1 \ ?y1) ### Ignoring duplicate rewrite rule: ### ?x1 \ ?r1 *\<^sub>R ?y1 \ ?r1 * (?x1 \ ?y1) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=389077name=byelapsed=0.067 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=360055name=letelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=388528name=applyelapsed=0.203 \\x. x \ ?s \ ?f x = ?g x; ?f integrable_on ?s\ \ ?g integrable_on ?s command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=386496name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=360093name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=390503name=applyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=387215name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=394175name=applyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=389835name=byelapsed=0.082 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=391064name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=390888name=byelapsed=0.115 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=387321name=finallyelapsed=0.119 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=394456name=applyelapsed=0.101 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=396369name=showelapsed=0.122 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=396486name=nextelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=394539name=haveelapsed=0.049 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=391496name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=387329name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=396515name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=397352name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=398261name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=394831name=haveelapsed=0.064 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=392375name=haveelapsed=0.064 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=397469name=nextelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=400965name=fixelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=395095name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=393145name=finallyelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=397498name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=401063name=haveelapsed=0.028 ### Rule already declared as introduction (intro) ### open {} command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=393153name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=395368name=finallyelapsed=0.026 ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### closed UNIV ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=395376name=showelapsed=0.032 ### Rule already declared as introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=401252name=obtainelapsed=0.039 ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Rule already declared as introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Rule already declared as introduction (intro) ### closed ?S \ open (- ?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=398327name=byelapsed=0.010 ### Rule already declared as introduction (intro) ### open ?S \ closed (- ?S) ### Rule already declared as introduction (intro) ### continuous_on ?s (linepath ?a ?b) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=399310name=byelapsed=0.082 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=401252name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=399528name=byelapsed=0.070 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=403952name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=401446name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=402859name=haveelapsed=0.026 ### Rule already declared as introduction (intro) ### open {} ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=404179name=fixelapsed=0.027 ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) ML_statistics = :now=1466031766.14tasks_ready=6072tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=203size_allocation=1134559232size_allocation_free=1134559232size_heap=4182659072size_heap_free_last_full_GC=0size_heap_free_last_GC=1135307712threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1016.28time_GC=23.332user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### closed UNIV command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=401555name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=402989name=haveelapsed=0.031 ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=404271name=haveelapsed=0.030 ### Rule already declared as introduction (intro) ### open {} ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Rule already declared as introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Rule already declared as introduction (intro) ### closed ?S \ open (- ?S) ### Rule already declared as introduction (intro) ### open ?S \ closed (- ?S) ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) ### Rule already declared as introduction (intro) ### continuous_on ?s (linepath ?a ?b) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=403057name=finallyelapsed=0.032 ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=408418name=byelapsed=0.082 ### Rule already declared as introduction (intro) ### closed UNIV ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=404442name=obtainelapsed=0.040 ### Rule already declared as introduction (intro) ### open {} ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=403065name=showelapsed=0.031 ### Rule already declared as introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Rule already declared as introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Rule already declared as introduction (intro) ### closed ?S \ open (- ?S) ### Rule already declared as introduction (intro) ### open ?S \ closed (- ?S) ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) ### Rule already declared as introduction (intro) ### continuous_on ?s (linepath ?a ?b) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=409905name=byelapsed=0.084 ### Rule already declared as introduction (intro) ### closed UNIV ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=404442name=obtainelapsed=0.035 ### Rule already declared as introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) ### Rule already declared as introduction (intro) ### open {} ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Rule already declared as introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Rule already declared as introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Rule already declared as introduction (intro) ### closed ?S \ open (- ?S) ### Rule already declared as introduction (intro) ### open ?S \ closed (- ?S) ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) ### Rule already declared as introduction (intro) ### continuous_on ?s (linepath ?a ?b) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### closed UNIV command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=404721name=haveelapsed=0.035 ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=408831name=applyelapsed=0.099 ### Rule already declared as introduction (intro) ### (\x. x \ ?A \ ?m \ x) \ ### bdd_below ?A ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Rule already declared as introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Rule already declared as introduction (intro) ### closed ?S \ open (- ?S) ### Rule already declared as introduction (intro) ### open ?S \ closed (- ?S) ### Rule already declared as introduction (intro) ### (\x. x \ ?A \ x \ ?M) \ ### bdd_above ?A ### Rule already declared as introduction (intro) ### continuous_on ?s (linepath ?a ?b) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=404840name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=410314name=applyelapsed=0.099 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=413286name=fixelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=398509name=byelapsed=0.138 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=404935name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=413294name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=399858name=fixelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=405020name=ultimatelyelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=413611name=fixelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=399895name=fixelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=405035name=showelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=413628name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=399923name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=422568name=fixelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=414380name=fixelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=400024name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=422594name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=414397name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=400111name=finallyelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=414696name=fixelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=422668name=nextelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=400119name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=422686name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=414728name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=422717name=nextelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=400154name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=414847name=letelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=422728name=fixelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=400244name=finallyelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=414880name=showelapsed=0.028 ML_statistics = :now=1466031766.64tasks_ready=6074tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=203size_allocation=1134559232size_allocation_free=262196240size_heap=4182659072size_heap_free_last_full_GC=0size_heap_free_last_GC=1135307712threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1019.348time_GC=23.332user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=422747name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=400253name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=415993name=fixelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=423020name=nextelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=400316name=finallyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=416010name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=423041name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=400324name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=416796name=fixelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=416813name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=418310name=showelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=424421name=showelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=417112name=fixelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=418772name=fixelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=424510name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=417142name=showelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=418818name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=411331name=henceelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=411411name=thuselapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=418870name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=417259name=letelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=411434name=nextelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=418987name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=417292name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=411496name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=419755name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=419755name=showelapsed=0.074 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=420224name=fixelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=423742name=byelapsed=0.129 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=46848name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=420241name=fixelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=421142name=guesselapsed=0.136 ### Rule already declared as introduction (intro) ### open {} ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### closed UNIV ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=421151name=..elapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=420274name=showelapsed=0.034 ### Rule already declared as introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Rule already declared as introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Rule already declared as introduction (intro) ### closed ?S \ open (- ?S) ### Rule already declared as introduction (intro) ### open ?S \ closed (- ?S) ### Rule already declared as introduction (intro) ### continuous_on ?s (linepath ?a ?b) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=420387name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=421224name=guesselapsed=0.065 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=46991name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=425478name=byelapsed=0.118 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=421233name=..elapsed=0.031 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=47201name=fixelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=47047name=showelapsed=0.025 ML_statistics = :now=1466031767.19tasks_ready=6075tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=204size_allocation=1127219200size_allocation_free=1127219200size_heap=4184756224size_heap_free_last_full_GC=0size_heap_free_last_GC=1127763816threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1020.452time_GC=23.404user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=47488name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=47249name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=421277name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=432173name=applyelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=47298name=nextelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=430169name=byelapsed=0.042 ### Ignoring duplicate rewrite rule: ### compact (cbox ?a1 ?b1) \ True command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=47309name=fixelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=47373name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=430551name=byelapsed=0.054 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=433342name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=433839name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=430329name=byelapsed=0.142 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=447468name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=440874name=fixelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=440915name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=447173name=applyelapsed=0.119 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=447315name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=440966name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=433678name=applyelapsed=0.181 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=441073name=fixelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=448210name=byelapsed=0.043 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=448956name=byelapsed=0.010 command_timing = 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:file=~~/src/HOL/Library/Extended_Real.thyoffset=67649name=fixelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=64552name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=67692name=obtainelapsed=0.026 ML_statistics = :now=1466031769.78tasks_ready=6052tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=207size_allocation=1109393408size_allocation_free=1109393408size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=1110913736threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1030.5time_GC=23.564user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=67692name=obtainelapsed=0.025 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Bounded_Continuous_Function.thyoffset=15721name=byelapsed=0.555 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=11257name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=10413name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=2265name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=11362name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=11748name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=2314name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=11444name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=12796name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=12528name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=11510name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=13542name=byelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=11593name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=11664name=ultimatelyelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=11675name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=23707name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=37182name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=28763name=showelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=37795name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=28872name=nextelapsed=0.031 ML_statistics = 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:file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=45788name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=47221name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=28965name=obtainelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=47535name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=47508name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=85169name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=28965name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=85103name=byelapsed=0.068 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=85394name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=29067name=obtainelapsed=0.082 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=85527name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=85308name=byelapsed=0.090 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=1863name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=29067name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=1668name=byelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=11679name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=1965name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=29168name=letelapsed=0.034 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=12298name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=13780name=byelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=18857name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=12381name=showelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=14163name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=13014name=applyelapsed=0.079 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=4876name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=20975name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=19286name=applyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=14669name=applyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=15185name=applyelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=5378name=showelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=6025name=obtainelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=21411name=applyelapsed=0.021 ML_statistics = :now=1466031770.81tasks_ready=5894tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=208size_allocation=1108344832size_allocation_free=443183256size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=1110386880threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=1034.824time_GC=23.608user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=6025name=obtainelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=19718name=applyelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=6206name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=21842name=applyelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=6298name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=15679name=applyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=6406name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=20050name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=6507name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=20228name=nextelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=23503name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=20261name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=7704name=fixelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=7726name=fixelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=19904name=byelapsed=0.260 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=7763name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=22175name=showelapsed=0.091 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=7861name=showelapsed=0.089 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=16102name=applyelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=22353name=nextelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=16458name=fixelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=22386name=showelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=8402name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=16534name=obtainelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=22028name=byelapsed=0.313 ### Ignoring duplicate rewrite rule: ### path (linepath ?a1 ?b1) \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=8558name=fixelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=16534name=obtainelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=16657name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=8696name=showelapsed=0.031 ML_statistics = :now=1466031771.34tasks_ready=5883tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=209size_allocation=1104150528size_allocation_free=1104150528size_heap=4187901952size_heap_free_last_full_GC=0size_heap_free_last_GC=1105934360threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1035.956time_GC=23.664user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=25002name=byelapsed=0.062 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=16860name=nextelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=8717name=nextelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=25136name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=18255name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=16869name=fixelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=8756name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Determinants.thyoffset=1967name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=25970name=applyelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=16945name=obtainelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=8817name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=16945name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=26116name=showelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=9009name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=17068name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=9146name=ultimatelyelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=26177name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=17271name=nextelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=9157name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=26587name=showelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=17280name=showelapsed=0.042 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=42446name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=7568name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=42469name=nextelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=11454name=obtainelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=7865name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=44542name=applyelapsed=0.065 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=11454name=obtainelapsed=0.034 ML_statistics = :now=1466031774.47tasks_ready=5666tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=213size_allocation=1083179008size_allocation_free=524159976size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=1084544728threads_in_ML=5threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1046.852time_GC=23.84user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=8146name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=46650name=applyelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=42499name=haveelapsed=0.052 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=8292name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=11725name=obtainelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=42862name=haveelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=11725name=obtainelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=47995name=byelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=44809name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=44236name=finallyelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=12008name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=46846name=applyelapsed=0.106 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=16217name=fixelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=44244name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=12086name=haveelapsed=0.032 ### Metis: Unused theorems: "??.unknown" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=16243name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=44916name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=46917name=applyelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=46966name=applyelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=49943name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=12204name=haveelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=48652name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=47110name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=17499name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=50130name=proofelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=49334name=applyelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=12443name=showelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=49207name=applyelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=20076name=byelapsed=0.084 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=50225name=fixelapsed=0.108 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=45584name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=49267name=applyelapsed=0.135 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=50312name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=17916name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=17946name=nextelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=50406name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=20332name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=20414name=nextelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=17977name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=50496name=haveelapsed=0.040 ### Ignoring duplicate rewrite rule: ### ?a1 \ closed_segment ?a1 ?b1 \ True ### Ignoring duplicate rewrite rule: ### ?b1 \ closed_segment ?a1 ?b1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=45857name=applyelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=20473name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=50632name=haveelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=49482name=applyelapsed=0.262 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=19357name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=18164name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=50797name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=51564name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=18213name=nextelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=51646name=nextelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=50915name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=18239name=haveelapsed=0.031 ML_statistics = :now=1466031775.03tasks_ready=5653tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=214size_allocation=1084227584size_allocation_free=1084227584size_heap=4185804800size_heap_free_last_full_GC=0size_heap_free_last_GC=1085422176threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1048.776time_GC=23.908user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=51034name=finallyelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=18352name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=51675name=obtainelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=18512name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=51042name=showelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=51675name=obtainelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=51873name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=20896name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=18721name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=20919name=nextelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=53123name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=18884name=haveelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=19443name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=20943name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=18978name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=19498name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=20587name=byelapsed=0.264 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=21031name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=19542name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=19089name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=26667name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=21095name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=23690name=byelapsed=0.045 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=19163name=ultimatelyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=21226name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=19178name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=27665name=byelapsed=0.047 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=19248name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=21559name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=25741name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=23873name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=21641name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=25793name=nextelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=21985name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=24238name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=25831name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=24307name=nextelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=26877name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=22068name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=24337name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=27733name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=22295name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=27835name=nextelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=22535name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=28636name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=26964name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=27859name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=23818name=byelapsed=0.266 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=27050name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=28707name=nextelapsed=0.035 ML_statistics = :now=1466031775.53tasks_ready=5660tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=214size_allocation=1084227584size_allocation_free=659580736size_heap=4185804800size_heap_free_last_full_GC=0size_heap_free_last_GC=1085422176threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1050.376time_GC=23.908user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=27941name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=28731name=obtainelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=28139name=ultimatelyelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=28150name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=28731name=obtainelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=36423name=byelapsed=0.090 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=27239name=applyelapsed=0.099 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=37394name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=28795name=obtainelapsed=0.044 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=37486name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=28795name=obtainelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=35439name=byelapsed=0.083 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=37571name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=29008name=ultimatelyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=36608name=byelapsed=0.099 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=36779name=byelapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=38953name=applyelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=37638name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=29019name=obtainelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=36900name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=547name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=36950name=byelapsed=0.067 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=38100name=haveelapsed=0.081 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=29019name=obtainelapsed=0.083 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=626name=byelapsed=0.077 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=38398name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=29126name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=41530name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=38717name=ultimatelyelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=29212name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=41665name=nextelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=41689name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=38728name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=29445name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=37047name=byelapsed=0.114 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=38800name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=41784name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=29688name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=43421name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=41784name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=43995name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=29832name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=43513name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=41836name=obtainelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=43602name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=30245name=ultimatelyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=39765name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=41836name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=39765name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=30256name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=1258name=applyelapsed=0.033 ML_statistics = :now=1466031776.06tasks_ready=5666tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=215size_allocation=1070596096size_allocation_free=1070596096size_heap=4188950528size_heap_free_last_full_GC=0size_heap_free_last_GC=1071839448threads_in_ML=1threads_total=11threads_wait_condvar=4threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=1052.668time_GC=23.96user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 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command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=21451name=byelapsed=0.050 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=20019name=byelapsed=0.076 ML_statistics = :now=1466031778.73tasks_ready=5580tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=220size_allocation=1048576000size_allocation_free=1048576000size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=1050113616threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1062.856time_GC=24.22user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=65141name=byelapsed=0.237 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=47323name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=46452name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=46256name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=46576name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=47727name=applyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=47503name=byelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=48175name=byelapsed=0.053 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=46678name=byelapsed=0.050 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=50495name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=48400name=fixelapsed=0.063 ### Ignoring duplicate rewrite rule: ### dist (0::?'a1) ?x1 \ norm ?x1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=50063name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=98849name=applyelapsed=0.728 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=48447name=henceelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=46818name=byelapsed=0.061 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=50889name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=48568name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=50222name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=50692name=byelapsed=0.054 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=51166name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=53326name=applyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=48694name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=53577name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=48766name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=51683name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=53341name=byelapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=48793name=finallyelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=54137name=proofelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=52861name=applyelapsed=0.084 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=48801name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=54207name=fixelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=52957name=applyelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=48958name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=54251name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=54367name=ultimatelyelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=49093name=ultimatelyelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=53054name=applyelapsed=0.067 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=49104name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=54382name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=52141name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=55610name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=51996name=applyelapsed=0.148 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=49312name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=54382name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=55735name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=55918name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=57342name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=54522name=fixelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=49527name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=87914name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=49613name=henceelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=88437name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=54578name=haveelapsed=0.023 ML_statistics = :now=1466031781.81tasks_ready=5436tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=225size_allocation=1028653056size_allocation_free=423533208size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=1029955496threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1074.624time_GC=24.436user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=58642name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=88519name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=54692name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=49718name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=58771name=byelapsed=0.012 ### Rule already declared as introduction (intro) ### ((\x. x) \ ?a) (at ?a within ?s) ### Rule already declared as introduction (intro) ### ((\x. ?k) \ ?k) ?F ### Rule already declared as introduction (intro) ### (?f \ ?x) ?F \ ### ((\x. ereal (?f x)) \ ereal ?x) ?F command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=54751name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=49775name=finallyelapsed=0.027 ### Rule already declared as introduction (intro) ### (?f \ ?x) ?F \ ### ((\x. - ?f x) \ - ?x) ?F ### Rule already declared as introduction (intro) ### \\?c\ \ \; ### (?f \ ?x) ?F\ ### \ ((\x. ?c * ?f x) \ ?c * ?x) ?F command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=61805name=byelapsed=0.010 ### Rule already declared as introduction (intro) ### \?x \ 0; (?f \ ?x) ?F\ ### \ ((\x. ?c * ?f x) \ ?c * ?x) ?F command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=61733name=byelapsed=0.039 ### Rule already declared as introduction (intro) ### \?y \ - \; ?x \ - \; ### (?f \ ?x) ?F\ ### \ ((\x. ?f x + ?y) \ ?x + ?y) ?F command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=49783name=showelapsed=0.035 ### Rule already declared as introduction (intro) ### \\?y\ \ \; ### (?f \ ?x) ?F\ ### \ ((\x. ?f x + ?y) \ ?x + ?y) ?F command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=60779name=byelapsed=0.067 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=61851name=byelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=61949name=byelapsed=0.043 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=66152name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=64732name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=65479name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=66381name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=64822name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=65558name=nextelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=66250name=byelapsed=0.068 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=65567name=fixelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=64957name=nextelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=66484name=applyelapsed=0.054 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=67946name=byelapsed=0.016 ### Ignoring duplicate rewrite rule: ### nat \?x1\ \ ?a1 \ ?x1 \ real ?a1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=63154name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=65627name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=64993name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=66649name=applyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=66711name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=89405name=fixelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=65793name=showelapsed=0.035 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=89438name=haveelapsed=0.077 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=89508name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=89592name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=70185name=byelapsed=0.146 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=89639name=henceelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=68109name=byelapsed=0.211 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=89698name=finallyelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=89706name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=89905name=byelapsed=0.084 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=89993name=byelapsed=0.068 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=69234name=byelapsed=0.021 ML_statistics = :now=1466031782.32tasks_ready=5399tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=226size_allocation=1029701632size_allocation_free=1029701632size_heap=4188950528size_heap_free_last_full_GC=0size_heap_free_last_GC=1030723160threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1075.712time_GC=24.48user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=70691name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=70914name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=69426name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=71491name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=73699name=applyelapsed=0.024 ### Ignoring duplicate rewrite rule: ### dist ?x1 (0::?'a1) \ norm ?x1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=73624name=byelapsed=0.056 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=68172name=applyelapsed=0.344 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=68273name=applyelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=73791name=applyelapsed=0.047 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=69582name=applyelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=73905name=applyelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=73938name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=75459name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=76019name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=71973name=applyelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=71764name=byelapsed=0.126 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=75586name=byelapsed=0.082 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=77441name=byelapsed=0.114 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=76130name=byelapsed=0.112 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=70549name=applyelapsed=0.364 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=77686name=byelapsed=0.045 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=76492name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=75711name=byelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=76595name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=80698name=haveelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=82793name=fixelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=77904name=byelapsed=0.056 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=84955name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=81763name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=82836name=henceelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=81901name=finallyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=82963name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=76677name=applyelapsed=0.063 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=81909name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=83010name=haveelapsed=0.033 ML_statistics = :now=1466031782.83tasks_ready=5369tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=227size_allocation=1022361600size_allocation_free=1022361600size_heap=4191047680size_heap_free_last_full_GC=0size_heap_free_last_GC=1023476216threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1077.392time_GC=24.52user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=76714name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=82086name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=78226name=applyelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=83076name=henceelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=82154name=ultimatelyelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=83235name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=82165name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=83399name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=82253name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=78267name=applyelapsed=0.099 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=83588name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=82503name=thuselapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=78338name=applyelapsed=0.034 ### Ignoring duplicate rewrite rule: ### dist (0::?'a1) ?x1 \ norm ?x1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=83652name=henceelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=84139name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=83780name=finallyelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=78637name=applyelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=85042name=byelapsed=0.058 ### Ignoring duplicate rewrite rule: ### \n. ?f1 n * (0::?'a1) ^ n \ ?f1 0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=83788name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=78866name=applyelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=76910name=applyelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=78945name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=83917name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=78997name=applyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=87232name=byelapsed=0.064 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=87110name=applyelapsed=0.061 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=92922name=applyelapsed=0.066 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=95227name=byelapsed=0.050 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=94014name=applyelapsed=0.100 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=95541name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=96964name=byelapsed=0.052 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=96704name=applyelapsed=0.080 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=96778name=applyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=96864name=byelapsed=0.018 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=107773name=applyelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=106490name=applyelapsed=0.058 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=107826name=applyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=107637name=applyelapsed=0.063 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=106543name=applyelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=106354name=applyelapsed=0.067 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=110491name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=109349name=byelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=110735name=applyelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=109508name=byelapsed=0.083 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=111198name=byelapsed=0.039 ML_statistics = :now=1466031784.4tasks_ready=5290tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=230size_allocation=1013972992size_allocation_free=1013972992size_heap=4187901952size_heap_free_last_full_GC=0size_heap_free_last_GC=1014927008threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1082.688time_GC=24.652user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=110305name=byelapsed=0.190 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=110136name=byelapsed=0.206 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=112327name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=109620name=byelapsed=0.116 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=109676name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=111357name=byelapsed=0.114 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=111976name=byelapsed=0.231 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=112558name=applyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=111525name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=115699name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=112141name=byelapsed=0.212 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=111469name=byelapsed=0.168 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=116662name=byelapsed=0.010 ### Ignoring duplicate rewrite rule: ### of_real (numeral ?w1) \ numeral ?w1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=113913name=applyelapsed=0.061 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=119795name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=118603name=applyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=910name=fixelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=945name=letelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=995name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=118625name=byelapsed=0.077 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=116006name=byelapsed=0.142 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=116969name=byelapsed=0.146 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=1160name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=119827name=byelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=3137name=byelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=118838name=byelapsed=0.030 ### Ignoring duplicate rewrite rule: ### of_real (numeral ?w1) \ numeral ?w1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=3502name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=1279name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=3597name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=7070name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=119103name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=10090name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=10679name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=1385name=haveelapsed=0.031 ML_statistics = :now=1466031784.92tasks_ready=5232tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=231size_allocation=1005584384size_allocation_free=1005584384size_heap=4191047680size_heap_free_last_full_GC=0size_heap_free_last_GC=1007191552threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=1084.656time_GC=24.68user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=4153name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=10205name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=7600name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=1421name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=10932name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=7438name=byelapsed=0.063 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=4483name=byelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=1576name=haveelapsed=0.035 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=3241name=byelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=3750name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=3873name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=3965name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=3485name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=4055name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=7924name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=5577name=fixelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=6490name=byelapsed=0.015 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:file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=6118name=finallyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=8779name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=8747name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=6126name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=9006name=finallyelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=8860name=finallyelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=9014name=haveelapsed=0.039 ML_statistics = 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:file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=11470name=byelapsed=0.059 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=9234name=finallyelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=9686name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=11656name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=16751name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=14360name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=9242name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=11911name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=14291name=byelapsed=0.058 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=9286name=qedelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=9909name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=12000name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=17010name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=12121name=byelapsed=0.043 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=10047name=byelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=14631name=byelapsed=0.045 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=17197name=fixelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=21026name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=14969name=fixelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=12360name=byelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=17251name=henceelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=17293name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=12710name=fixelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=15015name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=18066name=byelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=17402name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=12757name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=15234name=thuselapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=18231name=byelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=21360name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=21571name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=17515name=henceelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=12817name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=18580name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=18786name=fixelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=17643name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=12980name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=13098name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=17689name=finallyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=18840name=henceelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=23112name=byelapsed=0.057 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=17697name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=13189name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=18882name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=21804name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=23249name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=19002name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=17837name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=13313name=finallyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=21920name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=23357name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=19114name=henceelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=13321name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=20042name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=23461name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=22009name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=19243name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=20207name=byelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=20556name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=23641name=byelapsed=0.043 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=19328name=haveelapsed=0.035 ML_statistics = 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:file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=24033name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=19623name=finallyelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=19631name=showelapsed=0.074 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=1888name=byelapsed=0.086 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=1646name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=19718name=nextelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=1455name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=19763name=showelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=25532name=byelapsed=0.240 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=25667name=byelapsed=0.189 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=3974name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=2782name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=3565name=byelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=3136name=byelapsed=0.054 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=4090name=byelapsed=0.020 ### Ignoring duplicate rewrite rule: ### \n. ?f1 n * (0::?'a1) ^ n \ ?f1 0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=5060name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=6176name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=5235name=fixelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=8050name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=8330name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=8177name=byelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=5245name=showelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=11514name=fixelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=8402name=byelapsed=0.028 ### Rule already declared as introduction (intro) ### open {} ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=16084name=byelapsed=0.015 ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### closed UNIV ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=14544name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=11558name=haveelapsed=0.035 ### Rule already declared as introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Rule already declared as introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Rule already declared as introduction (intro) ### closed ?S \ open (- ?S) ### Rule already declared as introduction (intro) ### open ?S \ closed (- ?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=22712name=byelapsed=0.036 ### Rule already declared as introduction (intro) ### continuous_on ?s (linepath ?a ?b) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=15940name=byelapsed=0.074 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=21204name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=11821name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=21242name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=11881name=finallyelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=22845name=byelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=16283name=byelapsed=0.067 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=11889name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=21309name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=14659name=byelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=23010name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=14769name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=21355name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=23142name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=14929name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=24073name=fixelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=23406name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=21419name=finallyelapsed=0.032 ML_statistics = :now=1466031786.46tasks_ready=5064tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=233size_allocation=1006632960size_allocation_free=356266248size_heap=4191047680size_heap_free_last_full_GC=0size_heap_free_last_GC=1007758176threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1091.904time_GC=24.752user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=24108name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=15063name=byelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=21427name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=15285name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=15185name=byelapsed=0.048 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=24339name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=25320name=byelapsed=0.011 ### Ignoring duplicate rewrite rule: ### ?x1 \ of_int \?x1\ \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=21444name=nextelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=15423name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=25395name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=24505name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=25592name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=21523name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=29555name=fixelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=24611name=finallyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=21592name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=29572name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=24619name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=17314name=byelapsed=0.063 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=21669name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=29626name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=17473name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=30072name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=21755name=finallyelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=29731name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=17770name=fixelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=21763name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=29896name=finallyelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=17851name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=31074name=fixelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=25941name=fixelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=17935name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=31150name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=29904name=showelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=26000name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=31235name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=18041name=finallyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=36308name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=36855name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=26031name=fixelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=18049name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=31360name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=18081name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=31419name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=26102name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=33065name=byelapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=18163name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=31479name=finallyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=37007name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=26157name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=33241name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=18247name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=31487name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=37128name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=26194name=finallyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=31661name=thuselapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=18303name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=26202name=haveelapsed=0.076 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=37305name=byelapsed=0.065 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=18333name=finallyelapsed=0.075 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=26240name=henceelapsed=0.032 ML_statistics = :now=1466031786.98tasks_ready=5045tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=234size_allocation=1002438656size_allocation_free=1002438656size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=1003862120threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1093.604time_GC=24.796user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=18341name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=34184name=byelapsed=0.044 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=26278name=henceelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=18391name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=26364name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=34601name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=18654name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=39429name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=26505name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=18849name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=40553name=byelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=26705name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=18905name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=26843name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=19115name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=35030name=fixelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=26984name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=35062name=henceelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=19318name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=27054name=finallyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=35172name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=19506name=henceelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=27062name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=41432name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=19723name=haveelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=20003name=alsoelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=41642name=fixelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=27232name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=20008name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=27447name=finallyelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=41714name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=41947name=qedelapsed=0.015 ### Rule already declared as introduction (intro) ### open {} command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=20130name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=27455name=showelapsed=0.034 ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### closed UNIV ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=20285name=haveelapsed=0.032 ### Rule already declared as introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=42149name=byelapsed=0.039 ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Rule already declared as introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Rule already declared as introduction (intro) ### closed ?S \ open (- ?S) ### Rule already declared as introduction (intro) ### open ?S \ closed (- ?S) ### Rule already declared as introduction (intro) ### open {} ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Rule already declared as introduction (intro) ### continuous_on ?s (linepath ?a ?b) ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=4069name=byelapsed=0.075 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=20429name=haveelapsed=0.029 ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### closed UNIV ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=20504name=finallyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=40074name=byelapsed=0.031 ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Rule already declared as introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Rule already declared as introduction (intro) ### closed ?S \ open (- ?S) ### Rule already declared as introduction (intro) ### open ?S \ closed (- ?S) ### Rule already declared as introduction (intro) ### continuous_on ?s (linepath ?a ?b) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=4964name=byelapsed=0.075 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=4309name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=20512name=showelapsed=0.030 ML_statistics = :now=1466031787.49tasks_ready=5030tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=234size_allocation=1002438656size_allocation_free=493518568size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=1003862120threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=1095.204time_GC=24.796user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=4349name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=5204name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=5244name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=4452name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Ordered_Euclidean_Space.thyoffset=5310name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=43668name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=102870name=fixelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=42629name=fixelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=102896name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=42690name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=103280name=byelapsed=0.047 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=102997name=nextelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=103008name=fixelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=42731name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=43002name=nextelapsed=0.075 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=44050name=byelapsed=0.114 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=103085name=guesselapsed=0.088 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=103093name=..elapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=43011name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=40021name=byelapsed=0.033 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=103107name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=43240name=thuselapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=43415name=qedelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=42393name=byelapsed=0.050 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=40295name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=40849name=fixelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=729name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=1176name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=40897name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=855name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=1295name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=40983name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=41056name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=41120name=ultimatelyelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=41131name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=41186name=haveelapsed=0.025 ML_statistics = :now=1466031787.99tasks_ready=5008tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=235size_allocation=997195776size_allocation_free=997195776size_heap=4188950528size_heap_free_last_full_GC=0size_heap_free_last_GC=998391328threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1096.42time_GC=24.844user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=41306name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=4459name=byelapsed=0.130 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=42349name=byelapsed=0.271 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=4555name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=41420name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=7143name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=6997name=byelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=4731name=byelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=7293name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=5261name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=6372name=byelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=5712name=nextelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=5731name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=21455name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=17229name=byelapsed=0.232 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=17592name=byelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=5007name=byelapsed=0.360 ML_statistics = 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:file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=47390name=applyelapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=43488name=applyelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=48528name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=47081name=applyelapsed=0.062 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=49219name=byelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=49404name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=49224name=henceelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=47493name=byelapsed=0.093 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=49750name=byelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=49480name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=53304name=byelapsed=0.042 ML_statistics = :now=1466031791.61tasks_ready=4924tasks_pending=1tasks_running=6tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=242size_allocation=980418560size_allocation_free=980418560size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=981853728threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=1110.128time_GC=25.068user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=49607name=finallyelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=53498name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=49615name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=51315name=byelapsed=0.076 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=50077name=applyelapsed=0.154 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=50812name=applyelapsed=0.123 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=51504name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=50246name=applyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=50983name=applyelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=54333name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=51689name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=51097name=applyelapsed=0.091 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=50359name=applyelapsed=0.101 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=52354name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=54577name=applyelapsed=0.103 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=52543name=applyelapsed=0.205 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=52585name=applyelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=52635name=usingelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=52906name=byelapsed=0.164 ML_statistics = :now=1466031792.11tasks_ready=4912tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=243size_allocation=980418560size_allocation_free=980418560size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=981218928threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1112.136time_GC=25.108user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=52736name=applyelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=51929name=byelapsed=0.014 ### Ignoring duplicate rewrite rule: ### dist (0::?'a1) ?x1 \ norm ?x1 ### Ignoring duplicate rewrite rule: ### dist (0::?'a1) ?x1 \ norm ?x1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=52823name=applyelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=54081name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=58490name=applyelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=53886name=applyelapsed=0.538 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=60161name=applyelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=51872name=applyelapsed=0.452 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=60310name=applyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=51914name=applyelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=51964name=usingelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=60358name=applyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=52061name=applyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=60434name=applyelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=60524name=applyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=60852name=applyelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=61163name=applyelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=60989name=applyelapsed=0.155 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=61309name=applyelapsed=0.157 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=64206name=usingelapsed=0.010 ML_statistics = :now=1466031792.62tasks_ready=4891tasks_pending=1tasks_running=6tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=244size_allocation=975175680size_allocation_free=975175680size_heap=4191047680size_heap_free_last_full_GC=0size_heap_free_last_GC=976640416threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1114.04time_GC=25.14user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=64596name=applyelapsed=0.135 ### Ignoring duplicate rewrite rule: ### valid_path (reversepath ?g1) \ valid_path ?g1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=54130name=applyelapsed=0.467 ### Ignoring duplicate rewrite rule: ### contour_integral (subpath ?u1 ?u1 ?g1) ?f1 \ 0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=64843name=applyelapsed=0.013 ### Metis: Unused theorems: "Cauchy_Integral_Thm.contour_integrable_subpath" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=64912name=byelapsed=0.072 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=65840name=byelapsed=0.135 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=66020name=applyelapsed=0.044 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=66315name=byelapsed=0.176 ML_statistics = :now=1466031793.13tasks_ready=4885tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=245size_allocation=973078528size_allocation_free=973078528size_heap=4191047680size_heap_free_last_full_GC=0size_heap_free_last_GC=973779928threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1115.752time_GC=25.176user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=68917name=applyelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=50118name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=66825name=byelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=58563name=applyelapsed=1.187 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=58683name=applyelapsed=0.047 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=56952name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=64160name=byelapsed=0.970 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=64638name=applyelapsed=0.813 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=57728name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=58566name=henceelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=71685name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=57840name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=58822name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=57840name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=57911name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=58949name=finallyelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=58036name=finallyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=58957name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=72066name=applyelapsed=0.093 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=58044name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=61832name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=60036name=haveelapsed=0.034 ML_statistics = :now=1466031793.64tasks_ready=4866tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=246size_allocation=970981376size_allocation_free=970981376size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=972112272threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1117.412time_GC=25.22user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=60775name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=60142name=thuselapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=63692name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=60817name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=64078name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=60416name=showelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=60857name=henceelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=62967name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=60920name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=60994name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=71902name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=64597name=byelapsed=0.105 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=61214name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=72007name=byelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=69108name=byelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=61334name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=69496name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=61449name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=70060name=byelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=69757name=byelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=61577name=finallyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=74185name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=67414name=applyelapsed=0.694 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=61585name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=78815name=applyelapsed=0.083 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=79109name=applyelapsed=0.078 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=78830name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=70688name=byelapsed=0.135 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=75201name=byelapsed=0.084 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=78922name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=75795name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=79197name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=81612name=applyelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=76354name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=79494name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=79735name=applyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=76002name=byelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=79826name=applyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=76561name=byelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=80323name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=79999name=applyelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=79145name=byelapsed=0.116 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=80380name=applyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=80960name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=80536name=applyelapsed=0.032 ML_statistics = :now=1466031794.14tasks_ready=4815tasks_pending=1tasks_running=6tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=247size_allocation=965738496size_allocation_free=965738496size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=967218656threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1119.836time_GC=25.252user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=77365name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=81012name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=82280name=applyelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=77562name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=80643name=applyelapsed=0.055 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=86219name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=80849name=applyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=81047name=applyelapsed=0.088 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=86390name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=85845name=byelapsed=0.089 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=89203name=byelapsed=0.059 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=81693name=fixelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=84972name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=89473name=byelapsed=0.058 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=83312name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=87158name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=85046name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=81730name=letelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=87546name=applyelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=87232name=henceelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=81799name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=85236name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=87599name=applyelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=81889name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=87392name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=85394name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=87910name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=87524name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=85497name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=82130name=haveelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=85581name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=87645name=finallyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=83825name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=82421name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=87653name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=85653name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=83916name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=82516name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=88346name=applyelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=88807name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=85809name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=88446name=applyelapsed=0.021 ### Metis: Unused theorems: "Path_Connected.segments_subset_convex_hull_2", "Path_Connected.segments_subset_convex_hull_3", "Path_Connected.segments_subset_convex_hull_4", "Path_Connected.segments_subset_convex_hull_5", "Path_Connected.segments_subset_convex_hull_6" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=82603name=ultimatelyelapsed=0.032 ### Metis: Unused theorems: "Path_Connected.segments_subset_convex_hull_1", "Path_Connected.segments_subset_convex_hull_2", "Path_Connected.segments_subset_convex_hull_4", "Path_Connected.segments_subset_convex_hull_5", "Path_Connected.segments_subset_convex_hull_6" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=88074name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=86010name=showelapsed=0.029 ### Metis: Unused theorems: "Path_Connected.segments_subset_convex_hull_1", "Path_Connected.segments_subset_convex_hull_2", "Path_Connected.segments_subset_convex_hull_3", "Path_Connected.segments_subset_convex_hull_4", "Path_Connected.segments_subset_convex_hull_6" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=90487name=byelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=88276name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=86098name=nextelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=82614name=haveelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=88875name=byelapsed=0.078 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=86129name=haveelapsed=0.087 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=82876name=haveelapsed=0.088 ML_statistics = :now=1466031794.69tasks_ready=4781tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=248size_allocation=965738496size_allocation_free=965738496size_heap=4187901952size_heap_free_last_full_GC=0size_heap_free_last_GC=966541816threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1122.248time_GC=25.304user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=86219name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=83019name=finallyelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=91226name=applyelapsed=0.062 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=86326name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=83027name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=86416name=showelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=91435name=byelapsed=0.038 ### Ignoring duplicate rewrite rule: ### dist (0::?'a1) ?x1 \ norm ?x1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=91289name=applyelapsed=0.074 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=91937name=applyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=89538name=byelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=92069name=showelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=89761name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=89685name=byelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=92398name=nextelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=94735name=fixelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=92419name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=94756name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=92748name=nextelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=92769name=showelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=93098name=nextelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=89864name=byelapsed=0.174 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=93119name=showelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=90079name=byelapsed=0.062 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=95785name=letelapsed=0.086 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=89975name=byelapsed=0.221 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=98491name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=95960name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=90160name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=98554name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=96074name=henceelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=100805name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=98709name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=96210name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=100911name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=98888name=ultimatelyelapsed=0.028 ML_statistics = :now=1466031795.24tasks_ready=4778tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=249size_allocation=956301312size_allocation_free=956301312size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=957219472threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1123.824time_GC=25.348user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=96241name=henceelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=100963name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=98899name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=96416name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=98923name=nextelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=101054name=henceelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=98947name=henceelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=96479name=henceelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=101243name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=99040name=henceelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=96597name=finallyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=101307name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=96605name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=99128name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=101362name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=99241name=henceelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=96669name=ultimatelyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=101436name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=96680name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=99336name=haveelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=101490name=finallyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=96736name=nextelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=99598name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=101498name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=90704name=applyelapsed=0.930 ### Rule already declared as elimination (elim) ### \?x \ \\<^sub>\\<^sub>0; ### ?x \ \ \ PROP ?W\ ### \ PROP ?W command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=96764name=obtainelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=99801name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=101756name=haveelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=96764name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=99964name=finallyelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=96829name=letelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=101991name=henceelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=99972name=haveelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=96913name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=102233name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=100218name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=98014name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=101620name=byelapsed=0.148 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=102469name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=100404name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=98179name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=90518name=byelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=102571name=ultimatelyelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=100548name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=98259name=finallyelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=90652name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=102582name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=98267name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=100661name=finallyelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=90869name=fixelapsed=0.028 ML_statistics = :now=1466031795.74tasks_ready=4800tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=249size_allocation=956301312size_allocation_free=263547288size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=957219472threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1125.42time_GC=25.348user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=102669name=thuselapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=100669name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=102974name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=90890name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=91389name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=103178name=henceelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=103540name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=91944name=fixelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=103310name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=91570name=henceelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=103827name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=106104name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=91965name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=91669name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=103874name=finallyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=92426name=fixelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=92023name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=103882name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=91740name=ultimatelyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=92246name=thuselapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=91751name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=92551name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=91751name=showelapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=92246name=thuselapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=92551name=haveelapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=103913name=haveelapsed=0.070 ### Ignoring duplicate rewrite rule: ### dist (0::?'a1) ?x1 \ norm ?x1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=92760name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=104256name=ultimatelyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=104267name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=93475name=ultimatelyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=93486name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=104389name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=94547name=byelapsed=0.099 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=104507name=henceelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=93574name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=94711name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=110386name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=106246name=byelapsed=0.148 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=104650name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=93721name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=104752name=haveelapsed=0.029 ### Metis: Unused theorems: "Path_Connected.segments_subset_convex_hull_2", "Path_Connected.segments_subset_convex_hull_3", "Path_Connected.segments_subset_convex_hull_4", "Path_Connected.segments_subset_convex_hull_5", "Path_Connected.segments_subset_convex_hull_6" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=93823name=finallyelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=95807name=applyelapsed=0.047 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=105745name=henceelapsed=0.029 ### Metis: Unused theorems: "Path_Connected.segments_subset_convex_hull_1", "Path_Connected.segments_subset_convex_hull_2", "Path_Connected.segments_subset_convex_hull_4", "Path_Connected.segments_subset_convex_hull_5", "Path_Connected.segments_subset_convex_hull_6" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=93831name=haveelapsed=0.034 ### Metis: Unused theorems: "Path_Connected.segments_subset_convex_hull_1", "Path_Connected.segments_subset_convex_hull_2", "Path_Connected.segments_subset_convex_hull_3", "Path_Connected.segments_subset_convex_hull_4", "Path_Connected.segments_subset_convex_hull_6" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=94955name=byelapsed=0.092 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=105771name=finallyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=93857name=ultimatelyelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=105779name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=111122name=byelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=93868name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=106919name=byelapsed=0.011 ML_statistics = :now=1466031796.24tasks_ready=4797tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=250size_allocation=954204160size_allocation_free=954204160size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=955034736threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1127.032time_GC=25.392user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=95935name=applyelapsed=0.115 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=93983name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=112344name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=96970name=applyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=96124name=applyelapsed=0.095 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=94066name=thuselapsed=0.034 ### Ignoring duplicate rewrite rule: ### dist (0::?'a1) ?x1 \ norm ?x1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=113129name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=113297name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=96621name=applyelapsed=0.098 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=97605name=byelapsed=0.051 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=98337name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=97144name=applyelapsed=0.079 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=98362name=applyelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=107489name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=98466name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=113585name=byelapsed=0.052 ### Metis: Unused theorems: "Path_Connected.segments_subset_convex_hull_2", "Path_Connected.segments_subset_convex_hull_3", "Path_Connected.segments_subset_convex_hull_4", "Path_Connected.segments_subset_convex_hull_5", "Path_Connected.segments_subset_convex_hull_6" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=107539name=nextelapsed=0.030 ### Metis: Unused theorems: "Path_Connected.segments_subset_convex_hull_1", "Path_Connected.segments_subset_convex_hull_2", "Path_Connected.segments_subset_convex_hull_4", "Path_Connected.segments_subset_convex_hull_5", "Path_Connected.segments_subset_convex_hull_6" ### Metis: Unused theorems: "Path_Connected.segments_subset_convex_hull_1", "Path_Connected.segments_subset_convex_hull_2", "Path_Connected.segments_subset_convex_hull_3", "Path_Connected.segments_subset_convex_hull_4", "Path_Connected.segments_subset_convex_hull_6" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=104261name=byelapsed=0.090 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=107567name=obtainelapsed=0.079 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=107567name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=114196name=byelapsed=0.044 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=98514name=applyelapsed=0.155 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=107660name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=104324name=showelapsed=0.031 ### Metis: Unused theorems: "Path_Connected.segments_subset_convex_hull_2", "Path_Connected.segments_subset_convex_hull_3", "Path_Connected.segments_subset_convex_hull_4", "Path_Connected.segments_subset_convex_hull_5", "Path_Connected.segments_subset_convex_hull_6" ### Metis: Unused theorems: "Path_Connected.segments_subset_convex_hull_1", "Path_Connected.segments_subset_convex_hull_2", "Path_Connected.segments_subset_convex_hull_4", "Path_Connected.segments_subset_convex_hull_5", "Path_Connected.segments_subset_convex_hull_6" ### Metis: Unused theorems: "Path_Connected.segments_subset_convex_hull_1", "Path_Connected.segments_subset_convex_hull_2", "Path_Connected.segments_subset_convex_hull_3", "Path_Connected.segments_subset_convex_hull_4", "Path_Connected.segments_subset_convex_hull_6" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=107714name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=105278name=byelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=104444name=nextelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=114495name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=96699name=applyelapsed=0.275 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=104469name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=107805name=ultimatelyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=96824name=applyelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=107816name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=105508name=applyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=114699name=fixelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=99313name=byelapsed=0.063 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=99690name=byelapsed=0.014 ### Metis: Unused theorems: "Path_Connected.segments_subset_convex_hull_2", "Path_Connected.segments_subset_convex_hull_3", "Path_Connected.segments_subset_convex_hull_4", "Path_Connected.segments_subset_convex_hull_5", "Path_Connected.segments_subset_convex_hull_6" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=105617name=applyelapsed=0.037 ### Metis: Unused theorems: "Path_Connected.segments_subset_convex_hull_1", "Path_Connected.segments_subset_convex_hull_2", "Path_Connected.segments_subset_convex_hull_4", "Path_Connected.segments_subset_convex_hull_5", "Path_Connected.segments_subset_convex_hull_6" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=114744name=haveelapsed=0.037 ### Metis: Unused theorems: "Path_Connected.segments_subset_convex_hull_1", "Path_Connected.segments_subset_convex_hull_2", "Path_Connected.segments_subset_convex_hull_3", "Path_Connected.segments_subset_convex_hull_4", "Path_Connected.segments_subset_convex_hull_6" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=106164name=byelapsed=0.042 ML_statistics = :now=1466031796.75tasks_ready=4760tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=251size_allocation=950009856size_allocation_free=950009856size_heap=4188950528size_heap_free_last_full_GC=0size_heap_free_last_GC=951358016threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1129.108time_GC=25.436user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=100038name=applyelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=115035name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=105693name=byelapsed=0.069 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=115288name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=115367name=finallyelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=115375name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=100141name=applyelapsed=0.110 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=100281name=applyelapsed=0.043 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=100321name=applyelapsed=0.049 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=106790name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=106870name=henceelapsed=0.075 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=101065name=applyelapsed=0.251 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=107015name=thuselapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=116961name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=117110name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=107573name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=117420name=byelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=107766name=nextelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=117629name=byelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=107799name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=107929name=haveelapsed=0.032 ML_statistics = :now=1466031797.28tasks_ready=4748tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=252size_allocation=943718400size_allocation_free=943718400size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=944228400threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1131.248time_GC=25.476user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=108079name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=108377name=obtainelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=108377name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=108459name=fixelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=108814name=letelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=106638name=byelapsed=0.691 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=108878name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=102338name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=109024name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=102507name=byelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=109124name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=117715name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=109216name=haveelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=117860name=nextelapsed=0.065 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=109472name=haveelapsed=0.073 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=117889name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=117889name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=109754name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=117994name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=109942name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=119211name=letelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=110271name=haveelapsed=0.033 ML_statistics = :now=1466031797.79tasks_ready=4754tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=253size_allocation=941621248size_allocation_free=941621248size_heap=4191047680size_heap_free_last_full_GC=0size_heap_free_last_GC=942793808threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1133.344time_GC=25.512user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=119269name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=110451name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=119860name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=110597name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=117184name=byelapsed=0.626 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=119956name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=110756name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=102950name=applyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=120055name=finallyelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=110994name=fixelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=120063name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=118614name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=103114name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=111177name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=103440name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=123258name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=103232name=applyelapsed=0.050 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=111409name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=121406name=fixelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=111602name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=121448name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=111801name=fixelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=121557name=thuselapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=111849name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=112160name=haveelapsed=0.052 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=112365name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=103317name=applyelapsed=0.211 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=112709name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=123372name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=122111name=byelapsed=0.048 ML_statistics = :now=1466031798.29tasks_ready=4750tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=254size_allocation=939524096size_allocation_free=939524096size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=941026088threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1135.756time_GC=25.552user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=112967name=haveelapsed=0.078 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=113127name=finallyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=123588name=byelapsed=0.057 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=113135name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=122338name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=113275name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=122451name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=122766name=nextelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=113457name=haveelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=122790name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=114066name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=122866name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=114225name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=123007name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=114347name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=123177name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=115208name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=115380name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=123269name=henceelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=123402name=finallyelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=115552name=haveelapsed=0.032 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=63082name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=174561name=applyelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=146084name=haveelapsed=0.044 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=63178name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=175370name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=146358name=haveelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=175697name=applyelapsed=0.044 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=175489name=byelapsed=0.064 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=175838name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=63698name=byelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=146551name=haveelapsed=0.081 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=176927name=applyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=176728name=byelapsed=0.070 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=177516name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=147043name=haveelapsed=0.062 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=64275name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=177724name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=177920name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=147581name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=182590name=byelapsed=0.074 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=178014name=byelapsed=0.079 ### Rule already declared as introduction (intro) ### open {} ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=147756name=haveelapsed=0.088 ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=182910name=byelapsed=0.029 ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### closed UNIV ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=183025name=byelapsed=0.017 ML_statistics = 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introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Rule already declared as introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Rule already declared as introduction (intro) ### closed ?S \ open (- ?S) ### Rule already declared as introduction (intro) ### open ?S \ closed (- ?S) ### Rule already declared as introduction (intro) ### continuous_on ?s (linepath ?a ?b) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=178410name=byelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=178242name=byelapsed=0.081 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=183484name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=183147name=applyelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=184172name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=148248name=haveelapsed=0.060 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=183308name=applyelapsed=0.044 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=148779name=haveelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=149068name=haveelapsed=0.061 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=178651name=byelapsed=0.110 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=149490name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=179227name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=183397name=applyelapsed=0.131 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=149642name=finallyelapsed=0.031 ### Rule already declared as introduction (intro) ### open {} ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=184729name=applyelapsed=0.025 ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### closed UNIV ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \S\?K. closed S \ closed (\?K) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=185065name=applyelapsed=0.016 ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=149650name=haveelapsed=0.047 ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Rule already declared as introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Rule already declared as introduction (intro) ### closed ?S \ open (- ?S) ### Rule already declared as introduction (intro) ### open ?S \ closed (- ?S) ### Rule already declared as introduction (intro) ### continuous_on ?s (linepath ?a ?b) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=179715name=byelapsed=0.086 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=149849name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=179910name=byelapsed=0.043 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=180253name=byelapsed=0.062 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=187867name=byelapsed=0.043 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=187185name=byelapsed=0.110 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=185872name=applyelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=187968name=byelapsed=0.017 ML_statistics = :now=1466031804.51tasks_ready=4618tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=266size_allocation=902823936size_allocation_free=902823936size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=904051040threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1158.592time_GC=25.992user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=185604name=byelapsed=0.149 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=180521name=byelapsed=0.050 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=186253name=applyelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=186331name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=180982name=applyelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=181159name=applyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=180438name=byelapsed=0.175 ### Rule already declared as introduction (intro) ### open {} command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=188353name=byelapsed=0.075 ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### closed UNIV ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \S\?K. closed S \ closed (\?K) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=188473name=byelapsed=0.037 ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=181327name=applyelapsed=0.074 ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Rule already declared as introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Rule already declared as introduction (intro) ### closed ?S \ open (- ?S) ### Rule already declared as introduction (intro) ### open ?S \ closed (- ?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=181853name=byelapsed=0.015 ### Rule already declared as introduction (intro) ### continuous_on ?s (linepath ?a ?b) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=196027name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=196111name=byelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=196328name=applyelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=181700name=applyelapsed=0.247 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=189637name=applyelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=189480name=byelapsed=0.200 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=197950name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=189918name=byelapsed=0.036 ML_statistics = 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:file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=199023name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=203292name=finallyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=199250name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=203300name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=202150name=byelapsed=0.045 ML_statistics = 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:file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=259844name=haveelapsed=0.049 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=259410name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=266861name=haveelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=261272name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=251280name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=269193name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=267183name=haveelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=251457name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=251881name=applyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=267434name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=251534name=finallyelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=251978name=applyelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=252147name=applyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=267584name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=251542name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=251633name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=262178name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=270267name=byelapsed=0.111 ML_statistics = :now=1466031810.75tasks_ready=4454tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=280size_allocation=870318080size_allocation_free=870318080size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=871868016threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1181.656time_GC=26.484user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=271736name=byelapsed=0.144 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=270815name=applyelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=269417name=byelapsed=0.251 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=72093name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=271828name=byelapsed=0.092 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=272515name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=275078name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=276460name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=278170name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=280086name=byelapsed=0.021 ### Ignoring duplicate rewrite rule: ### (?a1 + ?b1) * ?c1 \ ?a1 * ?c1 + ?b1 * ?c1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=280404name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=272361name=applyelapsed=0.096 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=277052name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=276776name=applyelapsed=0.053 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=277198name=applyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=276885name=applyelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=277309name=applyelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=282732name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=280942name=byelapsed=0.096 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=281428name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=11793name=fixelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=281475name=nextelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=12679name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=12822name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=11812name=haveelapsed=0.030 ### Ignoring duplicate rewrite rule: ### deriv (op * ?y2) \ \z. ?y2 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=281543name=obtainelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=12001name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=284146name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=281543name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=12133name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=284287name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=12271name=finallyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=281628name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=13182name=fixelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=12279name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=281628name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=284362name=byelapsed=0.055 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=286613name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=281742name=haveelapsed=0.076 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=13201name=haveelapsed=0.076 ### Rewrite rule not in simpset: ### numeral ?w1 \ ?b1 / ?c1 \ ### if (0::?'a1) < ?c1 then numeral ?w1 * ?c1 \ ?b1 ### else if ?c1 < (0::?'a1) then ?b1 \ numeral ?w1 * ?c1 ### else numeral ?w1 \ (0::?'a1) ### Rewrite rule not in simpset: ### - numeral ?w1 \ ?b1 / ?c1 \ ### if (0::?'a1) < ?c1 then - numeral ?w1 * ?c1 \ ?b1 ### else if ?c1 < (0::?'a1) then ?b1 \ - numeral ?w1 * ?c1 ### else - numeral ?w1 \ (0::?'a1) ### Rewrite rule not in simpset: ### ?b1 / ?c1 \ numeral ?w1 \ ### if (0::?'a1) < ?c1 then ?b1 \ numeral ?w1 * ?c1 ### else if ?c1 < (0::?'a1) then numeral ?w1 * ?c1 \ ?b1 ### else (0::?'a1) \ numeral ?w1 ML_statistics = :now=1466031811.28tasks_ready=4410tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=281size_allocation=865075200size_allocation_free=865075200size_heap=4188950528size_heap_free_last_full_GC=0size_heap_free_last_GC=866493528threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1183.392time_GC=26.532user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ### Rewrite rule not in simpset: ### ?b1 / ?c1 \ - numeral ?w1 \ ### if (0::?'a1) < ?c1 then ?b1 \ - numeral ?w1 * ?c1 ### else if ?c1 < (0::?'a1) then - numeral ?w1 * ?c1 \ ?b1 ### else (0::?'a1) \ - numeral ?w1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=13365name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=281868name=haveelapsed=0.029 ### Rewrite rule not in simpset: ### numeral ?w1 < ?b1 / ?c1 \ ### if (0::?'a1) < ?c1 then numeral ?w1 * ?c1 < ?b1 ### else if ?c1 < (0::?'a1) then ?b1 < numeral ?w1 * ?c1 ### else numeral ?w1 < (0::?'a1) ### Rewrite rule not in simpset: ### - numeral ?w1 < ?b1 / ?c1 \ ### if (0::?'a1) < ?c1 then - numeral ?w1 * ?c1 < ?b1 ### else if ?c1 < (0::?'a1) then ?b1 < - numeral ?w1 * ?c1 ### else - numeral ?w1 < (0::?'a1) ### Rewrite rule not in simpset: ### ?b1 / ?c1 < numeral ?w1 \ ### if (0::?'a1) < ?c1 then ?b1 < numeral ?w1 * ?c1 ### else if ?c1 < (0::?'a1) then numeral ?w1 * ?c1 < ?b1 ### else (0::?'a1) < numeral ?w1 ### Rewrite rule not in simpset: ### ?b1 / ?c1 < - numeral ?w1 \ ### if (0::?'a1) < ?c1 then ?b1 < - numeral ?w1 * ?c1 ### else if ?c1 < (0::?'a1) then - numeral ?w1 * ?c1 < ?b1 ### else (0::?'a1) < - numeral ?w1 ### Rewrite rule not in simpset: ### numeral ?w1 = ?b1 / ?c1 \ ### if ?c1 \ (0::?'a1) then numeral ?w1 * ?c1 = ?b1 ### else numeral ?w1 = (0::?'a1) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=13501name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=282422name=haveelapsed=0.026 ### Rewrite rule not in simpset: ### - numeral ?w1 = ?b1 / ?c1 \ ### if ?c1 \ (0::?'a1) then - numeral ?w1 * ?c1 = ?b1 ### else - numeral ?w1 = (0::?'a1) ### Rewrite rule not in simpset: ### ?b1 / ?c1 = numeral ?w1 \ ### if ?c1 \ (0::?'a1) then ?b1 = numeral ?w1 * ?c1 ### else numeral ?w1 = (0::?'a1) ### Rewrite rule not in simpset: ### ?b1 / ?c1 = - numeral ?w1 \ ### if ?c1 \ (0::?'a1) then ?b1 = - numeral ?w1 * ?c1 ### else - numeral ?w1 = (0::?'a1) ### Rewrite rule not in simpset: ### (1::?'a1) \ ?b1 / ?a1 \ ### (0::?'a1) < ?a1 \ ?a1 \ ?b1 \ ### ?a1 < (0::?'a1) \ ?b1 \ ?a1 ### Rewrite rule not in simpset: ### ?b1 / ?a1 \ (1::?'a1) \ ### (0::?'a1) < ?a1 \ ?b1 \ ?a1 \ ### ?a1 < (0::?'a1) \ ?a1 \ ?b1 \ ?a1 = (0::?'a1) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=282544name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=13649name=finallyelapsed=0.025 ### Rewrite rule not in simpset: ### (1::?'a1) < ?b1 / ?a1 \ ### (0::?'a1) < ?a1 \ ?a1 < ?b1 \ ?a1 < (0::?'a1) \ ?b1 < ?a1 ### Rewrite rule not in simpset: ### ?b1 / ?a1 < (1::?'a1) \ ### (0::?'a1) < ?a1 \ ?b1 < ?a1 \ ### ?a1 < (0::?'a1) \ ?a1 < ?b1 \ ?a1 = (0::?'a1) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=284630name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=287660name=applyelapsed=0.100 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=293939name=byelapsed=0.017 ### Ignoring duplicate rewrite rule: ### (\z. ?c1) holomorphic_on ?s1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Summation.thyoffset=13657name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=287711name=applyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=295539name=applyelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=288001name=applyelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=284946name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=294050name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=288032name=applyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=288128name=applyelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=294158name=showelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=288347name=applyelapsed=0.056 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=294653name=applyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=288690name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=296337name=applyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=294790name=byelapsed=0.042 ### Ignoring duplicate rewrite rule: ### continuous_on {?x1} ?f1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=300964name=byelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=297110name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=301244name=byelapsed=0.068 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=297618name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=301468name=haveelapsed=0.045 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=297703name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=302350name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=297854name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=288994name=applyelapsed=0.135 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=298109name=haveelapsed=0.079 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=302425name=haveelapsed=0.079 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=298509name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=302737name=haveelapsed=0.035 ML_statistics = :now=1466031811.78tasks_ready=4394tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=282size_allocation=859832320size_allocation_free=859832320size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=860900904threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=1185.2time_GC=26.572user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=298671name=haveelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=302944name=haveelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=303339name=haveelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=298903name=haveelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=299350name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=303593name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=289046name=byelapsed=0.241 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=303786name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=299602name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=289316name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=303984name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=299830name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=289382name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=285613name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=300042name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=289382name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=300179name=byelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=304710name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=289518name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=285743name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=304904name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=291614name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=305222name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=306002name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=307353name=byelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=306196name=haveelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=285814name=byelapsed=0.116 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=306564name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=308812name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=292851name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=293335name=byelapsed=0.063 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=311539name=byelapsed=0.064 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=308955name=obtainelapsed=0.084 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=311712name=applyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=307512name=obtainelapsed=0.033 ML_statistics = :now=1466031812.3tasks_ready=4394tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=283size_allocation=857735168size_allocation_free=857735168size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=858922952threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1187.112time_GC=26.62user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=311871name=applyelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=308955name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=293386name=byelapsed=0.016 command_timing = 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command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=335660name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=5856name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=337058name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=335918name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=6093name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=337367name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=336669name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=6152name=finallyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=337476name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=336777name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=6160name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=337728name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=6230name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=336855name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=337967name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=6359name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=336909name=finallyelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=340829name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=336917name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=6525name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=340981name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=6595name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=341144name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=11566name=byelapsed=0.047 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=341270name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=10492name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=8929name=byelapsed=0.049 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=11698name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=341678name=haveelapsed=0.030 ML_statistics = :now=1466031815.41tasks_ready=4347tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=289size_allocation=837812224size_allocation_free=340027816size_heap=4191047680size_heap_free_last_full_GC=0size_heap_free_last_GC=838953008threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1198.504time_GC=26.864user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=342724name=fixelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=342786name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=10655name=byelapsed=0.094 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=342984name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=9228name=applyelapsed=0.104 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=343241name=haveelapsed=0.090 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=343552name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=12030name=byelapsed=0.050 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=343926name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=349376name=byelapsed=0.262 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=10803name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=344116name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=349682name=byelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=344487name=finallyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=15222name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=18075name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=344495name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=18168name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=344710name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=12572name=byelapsed=0.056 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=346698name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=18250name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=19153name=byelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=9420name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=18327name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=9550name=applyelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=18407name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=9596name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=18518name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=9700name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=19062name=ultimatelyelapsed=0.033 ML_statistics = :now=1466031815.96tasks_ready=4329tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=290size_allocation=835715072size_allocation_free=38917008size_heap=4187901952size_heap_free_last_full_GC=0size_heap_free_last_GC=836468352threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1200.7time_GC=26.92user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=19726name=byelapsed=0.121 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=19922name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=19073name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=20036name=usingelapsed=0.043 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=22253name=usingelapsed=0.043 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=21220name=haveelapsed=0.075 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=22397name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=21498name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=22318name=byelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=13741name=applyelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=20365name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=22463name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=28262name=byelapsed=0.043 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=24047name=byelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=22497name=nextelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=25452name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=27019name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=22517name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=25613name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=28709name=applyelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=22599name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=14199name=applyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=25720name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=22961name=obtainelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=25945name=ultimatelyelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=29029name=applyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=29059name=applyelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=25956name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=22961name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=27215name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=23080name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=26052name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=29161name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=26234name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=23339name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=23429name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=26631name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=27424name=byelapsed=0.058 ### Rule already declared as introduction (intro) ### open {} ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=26760name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=23653name=obtainelapsed=0.032 ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### closed UNIV ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=23653name=obtainelapsed=0.035 ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Rule already declared as introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Rule already declared as introduction (intro) ### closed ?S \ open (- ?S) ### Rule already declared as introduction (intro) ### open ?S \ closed (- ?S) ### Rule already declared as introduction (intro) ### continuous_on ?s (linepath ?a ?b) ML_statistics = :now=1466031816.48tasks_ready=4313tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=291size_allocation=827326464size_allocation_free=207155552size_heap=4191047680size_heap_free_last_full_GC=0size_heap_free_last_GC=828617688threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1202.396time_GC=26.96user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=23750name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=29305name=byelapsed=0.089 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=31566name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=23828name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=14572name=applyelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=23963name=finallyelapsed=0.094 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=23971name=showelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=29746name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=14749name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=31848name=byelapsed=0.062 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=27586name=applyelapsed=0.353 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=35142name=haveelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=35544name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=32764name=byelapsed=0.163 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=35681name=haveelapsed=0.083 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=30324name=applyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=35835name=haveelapsed=0.036 ### Rule already declared as elimination (elim) ### \?f holomorphic_on ?s; ?t \ ?s\ ### \ ?f holomorphic_on ?t command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=14610name=byelapsed=0.502 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=35891name=showelapsed=0.034 ML_statistics = :now=1466031817.03tasks_ready=4304tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=293size_allocation=819986432size_allocation_free=819986432size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=820972472threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1203.984time_GC=27.056user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=43516name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=36299name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=33104name=byelapsed=0.071 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=36528name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=43725name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=37360name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=32089name=applyelapsed=0.153 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=37451name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=43802name=haveelapsed=0.027 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command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=81234name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=88339name=byelapsed=0.141 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=65433name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=81378name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=65629name=fixelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=81962name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=83710name=applyelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=91535name=byelapsed=0.024 command_timing = 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True ### Ignoring duplicate rewrite rule: ### open {?a1<.. True ### Ignoring duplicate rewrite rule: ### closed {..?a1} \ True ### Ignoring duplicate rewrite rule: ### closed {?a1..} \ True ### Ignoring duplicate rewrite rule: ### closed {?a1..?b1} \ True ### Ignoring duplicate rewrite rule: ### continuous bot ?f1 \ True ### Ignoring duplicate rewrite rule: ### continuous (at ?x1 within ?S1) (\x. x) \ True ### Ignoring duplicate rewrite rule: ### continuous ?F1 (\x. ?c1) \ True ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; ?f1 ?a1 \ (0::?'b1)\ ### \ isCont (\x. inverse (?f1 x)) ?a1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=82148name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=65802name=showelapsed=0.031 ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; isCont ?g1 ?a1; ?g1 ?a1 \ (0::?'b1)\ ### \ isCont (\x. ?f1 x / ?g1 x) ?a1 \ True ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; isCont ?g1 ?a1; 0 < ?f1 ?a1; ?f1 ?a1 \ 1; ### 0 < ?g1 ?a1\ ### \ isCont (\x. log (?f1 x) (?g1 x)) ?a1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=91594name=showelapsed=0.037 ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; isCont ?g1 ?a1; ?f1 ?a1 \ 0\ ### \ isCont (\x. ?f1 x powr ?g1 x) ?a1 \ True ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; cos (?f1 ?a1) \ (0::?'a1)\ ### \ isCont (\x. tan (?f1 x)) ?a1 \ True ### Ignoring duplicate rewrite rule: ### \isCont ?f1 ?a1; sin (?f1 ?a1) \ (0::?'a1)\ ### \ isCont (\x. cot (?f1 x)) ?a1 \ True ### Ignoring duplicate rewrite rule: ### continuous ?F1 ?g1 \ ### continuous ?F1 (\x. cnj (?g1 x)) \ True ### Ignoring duplicate rewrite rule: ### continuous_on ?s1 ?g1 \ ### continuous_on ?s1 (\x. cnj (?g1 x)) \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=91671name=nextelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=84503name=byelapsed=0.117 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=91691name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=88829name=applyelapsed=0.010 ML_statistics = :now=1466031819.62tasks_ready=4267tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=297size_allocation=807403520size_allocation_free=119553736size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=809020376threads_in_ML=4threads_total=11threads_wait_condvar=4threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=1214.044time_GC=27.22user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=66159name=applyelapsed=0.043 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=65943name=byelapsed=0.214 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=93417name=haveelapsed=0.077 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=84852name=byelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=93602name=thuselapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=66815name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=66307name=byelapsed=0.156 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=93924name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=66933name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=89241name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=94169name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=67012name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=89651name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=90039name=applyelapsed=0.010 ### Ignoring duplicate rewrite rule: ### ((\x. x) has_derivative (\x. x)) ?F1 \ True ### Ignoring duplicate rewrite rule: ### ((\x. ?c1) has_derivative (\x. 0::?'b1)) ?F1 \ True ### Ignoring duplicate rewrite rule: ### \(?f1 has_derivative ?f'1) ?F1; ### (?g1 has_derivative ?g'1) ?F1\ ### \ ((\x. ?f1 x + ?g1 x) has_derivative ### (\x. ?f'1 x + ?g'1 x)) ### ?F1 \ ### True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=67085name=showelapsed=0.035 ### Ignoring duplicate rewrite rule: ### (\i. ### i \ ?I1 \ ### (?f1 i has_derivative ?f'1 i) ?F1) \ ### ((\x. \i\?I1. ?f1 i x) has_derivative ### (\x. \i\?I1. ?f'1 i x)) ### ?F1 \ ### True ### Ignoring duplicate rewrite rule: ### (?f1 has_derivative ?f'1) ?F1 \ ### ((\x. - ?f1 x) has_derivative (\x. - ?f'1 x)) ?F1 \ ### True ### Ignoring duplicate rewrite rule: ### \(?f1 has_derivative ?f'1) ?F1; ### (?g1 has_derivative ?g'1) ?F1\ ### \ ((\x. ?f1 x - ?g1 x) has_derivative ### (\x. ?f'1 x - ?g'1 x)) ### ?F1 \ ### True ### Ignoring duplicate rewrite rule: ### \(?f1 has_derivative ?f'1) (at ?x1 within ?s1); ### (?g1 has_derivative ?g'1) (at ?x1 within ?s1)\ ### \ ((\x. ?f1 x * ?g1 x) has_derivative ### (\h. ?f1 ?x1 * ?g'1 h + ?f'1 h * ?g1 ?x1)) ### (at ?x1 within ?s1) \ ### True ### Ignoring duplicate rewrite rule: ### \(?f1 has_derivative ?f'1) (at ?x1 within ?s1); ### (?g1 has_derivative ?g'1) (at ?x1 within ?s1)\ ### \ ((\x. ?f1 x *\<^sub>R ?g1 x) has_derivative ### (\h. ### ?f1 ?x1 *\<^sub>R ?g'1 h + ?f'1 h *\<^sub>R ?g1 ?x1)) ### (at ?x1 within ?s1) \ ### True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=94492name=haveelapsed=0.037 ### Ignoring duplicate rewrite rule: ### (\i. ### i \ ?I1 \ ### (?f1 i has_derivative ?f'1 i) (at ?x1 within ?s1)) \ ### ((\x. \i\?I1. ?f1 i x) has_derivative ### (\y. ### \i\?I1. ?f'1 i y * (\j\?I1 - {i}. ?f1 j ?x1))) ### (at ?x1 within ?s1) \ ### True ### Ignoring duplicate rewrite rule: ### (?f1 has_derivative ?f'1) (at ?x1 within ?s1) \ ### ((\x. ?f1 x ^ ?n1) has_derivative ### (\y. of_nat ?n1 * ?f'1 y * ?f1 ?x1 ^ (?n1 - 1))) ### (at ?x1 within ?s1) \ ### True ### Ignoring duplicate rewrite rule: ### \?f1 ?x1 \ (0::?'a1); ### (?f1 has_derivative ?f'1) (at ?x1 within ?s1)\ ### \ ((\x. inverse (?f1 x)) has_derivative ### (\h. ### - (inverse (?f1 ?x1) * ?f'1 h * inverse (?f1 ?x1)))) ### (at ?x1 within ?s1) \ ### True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=94644name=henceelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=67343name=byelapsed=0.169 ### Ignoring duplicate rewrite rule: ### \(?f1 has_derivative ?f'1) (at ?x1 within ?s1); ### (?g1 has_derivative ?g'1) (at ?x1 within ?s1); ### ?g1 ?x1 \ (0::?'a1)\ ### \ ((\x. ?f1 x / ?g1 x) has_derivative ### (\h. ### - ?f1 ?x1 * ### (inverse (?g1 ?x1) * ?g'1 h * inverse (?g1 ?x1)) + ### ?f'1 h / ?g1 ?x1)) ### (at ?x1 within ?s1) \ ### True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=94760name=showelapsed=0.035 ### Ignoring duplicate rewrite rule: ### (\x. x) differentiable ?F1 \ True ### Ignoring duplicate rewrite rule: ### (\z. ?a1) differentiable ?F1 \ True ### Ignoring duplicate rewrite rule: ### \?f1 differentiable ?F1; ?g1 differentiable ?F1\ ### \ (\x. ?f1 x + ?g1 x) differentiable ?F1 \ ### True ### Ignoring duplicate rewrite rule: ### ?f1 differentiable ?F1 \ ### (\x. - ?f1 x) differentiable ?F1 \ True ### Ignoring duplicate rewrite rule: ### \?f1 differentiable ?F1; ?g1 differentiable ?F1\ ### \ (\x. ?f1 x - ?g1 x) differentiable ?F1 \ ### True ### Ignoring duplicate rewrite rule: ### \?f1 differentiable at ?x1 within ?s1; ### ?g1 differentiable at ?x1 within ?s1\ ### \ (\x. ?f1 x * ?g1 x) differentiable at ?x1 ### within ?s1 \ ### True ### Ignoring duplicate rewrite rule: ### \?f1 differentiable at ?x1 within ?s1; ### ?f1 ?x1 \ (0::?'b1)\ ### \ (\x. inverse (?f1 x)) differentiable at ?x1 ### within ?s1 \ ### True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=84961name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=67533name=applyelapsed=0.027 ### Ignoring duplicate rewrite rule: ### \?f1 differentiable at ?x1 within ?s1; ### ?g1 differentiable at ?x1 within ?s1; ?g1 ?x1 \ (0::?'b1)\ ### \ (\x. ?f1 x / ?g1 x) differentiable at ?x1 ### within ?s1 \ ### True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=90360name=byelapsed=0.015 ### Ignoring duplicate rewrite rule: ### ?f1 differentiable at ?x1 within ?s1 \ ### (\x. ?f1 x ^ ?n1) differentiable at ?x1 within ?s1 \ True ### Ignoring duplicate rewrite rule: ### \?f1 differentiable at ?x1 within ?s1; ### ?g1 differentiable at ?x1 within ?s1\ ### \ (\x. ?f1 x *\<^sub>R ?g1 x) differentiable at ?x1 ### within ?s1 \ ### True ### Ignoring duplicate rewrite rule: ### ((\x. ?c1) has_vector_derivative (0::?'a1)) ?net1 \ True ### Ignoring duplicate rewrite rule: ### ((\x. x) has_vector_derivative 1) ?net1 \ True ### Ignoring duplicate rewrite rule: ### ((\x. ?k1) has_field_derivative (0::?'a1)) ?F1 \ True ### Ignoring duplicate rewrite rule: ### ((\x. x) has_field_derivative (1::?'a1)) ?F1 \ True ### Ignoring duplicate rewrite rule: ### (?g1 has_derivative ?g'1) ?F1 \ ### ((\x. cnj (?g1 x)) has_derivative (\x. cnj (?g'1 x))) ### ?F1 \ ### True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=85038name=byelapsed=0.010 ### Ignoring duplicate rewrite rule: ### (?f1 has_derivative ?f'1) ?F1 \ ### ((\x. of_real (?f1 x)) has_derivative ### (\x. of_real (?f'1 x))) ### ?F1 \ ### True ### Ignoring duplicate rewrite rule: ### op * ?c1 field_differentiable ?F1 \ True ### Ignoring duplicate rewrite rule: ### (\z. ?c1) field_differentiable ?F1 \ True ### Ignoring duplicate rewrite rule: ### (\z. z) field_differentiable ?F1 \ True ### Ignoring duplicate rewrite rule: ### id field_differentiable ?F1 \ True ### Ignoring duplicate rewrite rule: ### op + ?c1 field_differentiable ?F1 \ True ### Ignoring duplicate rewrite rule: ### (\x. x) C1_differentiable_on ?s1 \ True ### Ignoring duplicate rewrite rule: ### (\z. ?a1) C1_differentiable_on ?s1 \ True ### Ignoring duplicate rewrite rule: ### \?f1 C1_differentiable_on ?s1; ?g1 C1_differentiable_on ?s1\ ### \ (\x. ?f1 x + ?g1 x) C1_differentiable_on ### ?s1 \ ### True ### Ignoring duplicate rewrite rule: ### ?f1 C1_differentiable_on ?s1 \ ### (\x. - ?f1 x) C1_differentiable_on ?s1 \ True ### Ignoring duplicate rewrite rule: ### \?f1 C1_differentiable_on ?s1; ?g1 C1_differentiable_on ?s1\ ### \ (\x. ?f1 x - ?g1 x) C1_differentiable_on ### ?s1 \ ### True ### Ignoring duplicate rewrite rule: ### \?f1 C1_differentiable_on ?s1; ?g1 C1_differentiable_on ?s1\ ### \ (\x. ?f1 x * ?g1 x) C1_differentiable_on ### ?s1 \ ### True ### Ignoring duplicate rewrite rule: ### \?f1 C1_differentiable_on ?s1; ?g1 C1_differentiable_on ?s1\ ### \ (\x. ?f1 x *\<^sub>R ?g1 x) C1_differentiable_on ### ?s1 \ ### True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=90161name=applyelapsed=0.197 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=95123name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=95174name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=90520name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=67681name=byelapsed=0.081 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=95230name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=90728name=showelapsed=0.031 ML_statistics = :now=1466031820.17tasks_ready=4264tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=299size_allocation=803209216size_allocation_free=803209216size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=803801424threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=1215.94time_GC=27.3user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=90728name=showelapsed=0.044 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=85181name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=95298name=nextelapsed=0.076 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=95309name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=95772name=showelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=91230name=applyelapsed=0.074 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=97825name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=96078name=showelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=85919name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=85397name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=98617name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=85495name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=98931name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=85569name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=85756name=showelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=86062name=byelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=100388name=byelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=86160name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=86987name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=87081name=byelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=86245name=haveelapsed=0.065 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=86369name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=87154name=byelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=86545name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=99519name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=86673name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=99767name=byelapsed=0.011 ML_statistics = :now=1466031820.71tasks_ready=4246tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=300size_allocation=799014912size_allocation_free=799014912size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=800153928threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1217.34time_GC=27.332user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=86919name=finallyelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=68050name=byelapsed=0.612 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=87467name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=86927name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=105273name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=104195name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=104461name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=102812name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=87557name=byelapsed=0.060 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=105735name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=105842name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=108834name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=108942name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=109058name=haveelapsed=0.063 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=109126name=ultimatelyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=107998name=byelapsed=0.244 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=109137name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=126210name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=124509name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=124585name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=124698name=nextelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=124709name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=106107name=byelapsed=0.115 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=108643name=byelapsed=0.385 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=124777name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=125103name=haveelapsed=0.032 ML_statistics = 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:file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=169019name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=93180name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=167755name=ultimatelyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=95136name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=167766name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=95881name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=95159name=nextelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=94718name=applyelapsed=0.015 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=144238name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=144825name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=145379name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=137032name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=137115name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=151505name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=137115name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=137218name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=151579name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=151579name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=156872name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=151725name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=151866name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=157133name=byelapsed=0.077 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=151925name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=157355name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=151925name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=146434name=byelapsed=0.220 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=152067name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=152067name=obtainelapsed=0.062 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=159368name=byelapsed=0.078 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=159247name=byelapsed=0.105 ### Rule already declared as introduction (intro) ### countable ?A \ countable (?f ` ?A) ### Rule already declared as introduction (intro) ### \countable ?I; ### \i. i \ ?I \ countable (?A i)\ ### \ countable (Sigma ?I ?A) ### Rule already declared as introduction (intro) ### \countable ?I; ### \i. i \ ?I \ countable (?A i)\ ### \ countable (\i\?I. ?A i) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=152174name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=159418name=byelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=152305name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=160638name=byelapsed=0.048 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=160795name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=161008name=byelapsed=0.014 ML_statistics = 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:file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=152432name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=166282name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=161455name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=152558name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=36069name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=161578name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=152637name=ultimatelyelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=152648name=showelapsed=0.018 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=167734name=byelapsed=0.036 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=41274name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=57857name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=173626name=fixelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=41353name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=41428name=ultimatelyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=173739name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=41439name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=173890name=fixelapsed=0.025 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:file=~~/src/HOL/Library/Multiset.thyoffset=62527name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=174406name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=62564name=ultimatelyelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=62575name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=174597name=fixelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=174611name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Multiset.thyoffset=62622name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Cardinality.thyoffset=17895name=byelapsed=0.301 ML_statistics = 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command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=175388name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=216386name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=175477name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=216554name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=214154name=byelapsed=0.079 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=175557name=fixelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=216554name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=217195name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=175571name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=216740name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=175678name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=216859name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=176305name=ultimatelyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=217017name=ultimatelyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=214482name=byelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=217028name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=176316name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=218747name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=218874name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=229660name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=219149name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=219276name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=219445name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=223629name=fixelapsed=0.070 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=230015name=byelapsed=0.059 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=219544name=byelapsed=0.067 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=221209name=fixelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=223727name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=221277name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=223727name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=221334name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=223868name=haveelapsed=0.028 ML_statistics = :now=1466031825.38tasks_ready=4104tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=309size_allocation=767557632size_allocation_free=767557632size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=768124552threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1234.632time_GC=27.716user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=230092name=byelapsed=0.084 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=224071name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=221529name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=220049name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=224295name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=221529name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=242685name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=224460name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=221642name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=240289name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=221776name=ultimatelyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=224655name=ultimatelyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=240366name=byelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=220141name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=221793name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=224672name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=220241name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=242841name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=225659name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=242769name=byelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=243301name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=240501name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=243402name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=249177name=fixelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=240576name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=249225name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=249502name=byelapsed=0.051 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=240645name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=249225name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=249562name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=249289name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=253962name=byelapsed=0.015 ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=249867name=byelapsed=0.107 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=272511name=applyelapsed=0.017 ### Ignoring duplicate rewrite rule: ### (0::?'a1) \ span ?S1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=243524name=byelapsed=0.190 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=311244name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=311434name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=312613name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=312066name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=312198name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=312298name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=249749name=byelapsed=0.257 ML_statistics = :now=1466031825.91tasks_ready=4063tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=310size_allocation=764411904size_allocation_free=764411904size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=765689872threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1236.324time_GC=27.76user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=312929name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=304716name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=313150name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=315208name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=313325name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=304907name=byelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=318409name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=315559name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=313436name=byelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=313534name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=318589name=nextelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=313722name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=315853name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=318617name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=314079name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=319890name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=318774name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=314177name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=320070name=nextelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=318882name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=314316name=byelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=320145name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=318987name=finallyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=314571name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=318995name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=320334name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=319101name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=320593name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=314612name=nextelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=314810name=byelapsed=0.045 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=321215name=byelapsed=0.058 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=314653name=showelapsed=0.062 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=321826name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=321986name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=322778name=applyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=321355name=byelapsed=0.076 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=322104name=byelapsed=0.077 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=322885name=applyelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=322983name=applyelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=323586name=applyelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=323695name=applyelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=323793name=applyelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=2159name=obtainelapsed=0.031 ML_statistics = :now=1466031826.48tasks_ready=4034tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=312size_allocation=759169024size_allocation_free=759169024size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=759490184threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1238.844time_GC=27.852user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=2159name=obtainelapsed=0.084 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=2231name=haveelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=326810name=byelapsed=0.220 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=2470name=ultimatelyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=3296name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=2481name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=3296name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=322189name=applyelapsed=0.296 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=2671name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=3368name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=2546name=qedelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=3813name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=3612name=ultimatelyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=3467name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=9761name=fixelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=3623name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=3622name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=9788name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=9905name=henceelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=8213name=fixelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=3688name=qedelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=8254name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=10030name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=10996name=fixelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=8401name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=10133name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=11028name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=10286name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=8548name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=11096name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=10423name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=8548name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=10570name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=8663name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=11167name=nextelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=8789name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=10694name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=11178name=fixelapsed=0.024 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=162046name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=162245name=applyelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=162325name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=161758name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=172911name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=161786name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=172992name=nextelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=176961name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=176887name=applyelapsed=0.064 ### Ignoring duplicate rewrite rule: ### ?r1 *\<^sub>R ?x1 \ ?y1 \ ?r1 * (?x1 \ ?y1) ### Ignoring duplicate rewrite rule: ### ?x1 \ ?r1 *\<^sub>R ?y1 \ ?r1 * (?x1 \ ?y1) ML_statistics = :now=1466031829.11tasks_ready=3981tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=317size_allocation=734003200size_allocation_free=734003200size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=734540408threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1247.536time_GC=28.1user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=173025name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=177045name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=192370name=byelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=173163name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=177045name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=192494name=byelapsed=0.024 ### Ignoring duplicate rewrite rule: ### ?r1 *\<^sub>R ?x1 \ ?y1 \ ?r1 * (?x1 \ ?y1) ### Ignoring duplicate rewrite rule: ### ?x1 \ ?r1 *\<^sub>R ?y1 \ ?r1 * (?x1 \ ?y1) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=192873name=applyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=177144name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=194370name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=177197name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=193096name=applyelapsed=0.051 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=194395name=nextelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=177420name=nextelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=197676name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=194428name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=177452name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=197789name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=177452name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=194527name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=198092name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=177744name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=194824name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=198320name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=177812name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=198460name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=203484name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=177812name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=198536name=finallyelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=203916name=applyelapsed=0.051 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=177926name=haveelapsed=0.068 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=198544name=haveelapsed=0.072 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=177968name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=198696name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=178129name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=198845name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=178261name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=225411name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=227096name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=198990name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=179003name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=8344name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=225669name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=199391name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Convex.thyoffset=8465name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=199621name=haveelapsed=0.031 ML_statistics = :now=1466031829.62tasks_ready=3977tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=318size_allocation=731906048size_allocation_free=731906048size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=732900848threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1249.396time_GC=28.14user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=199763name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=225790name=byelapsed=0.070 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=227475name=byelapsed=0.057 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=199839name=finallyelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=230505name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=199847name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=230561name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=200003name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=230645name=ultimatelyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=200161name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=230656name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=200314name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=230807name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=200574name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=231207name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=200681name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=231324name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=200774name=finallyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=233331name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=200782name=haveelapsed=0.028 ### Ignoring duplicate rewrite rule: ### ?r1 *\<^sub>R ?x1 \ ?y1 \ ?r1 * (?x1 \ ?y1) ### Ignoring duplicate rewrite rule: ### ?x1 \ ?r1 *\<^sub>R ?y1 \ ?r1 * (?x1 \ ?y1) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=231527name=byelapsed=0.300 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=236380name=byelapsed=0.090 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=200825name=ultimatelyelapsed=0.075 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=233492name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=236517name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=231888name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=200836name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=236934name=applyelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=233970name=fixelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=237695name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=234016name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=237695name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=234272name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=237828name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=234605name=finallyelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=237959name=nextelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=234613name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=237992name=haveelapsed=0.027 ML_statistics = :now=1466031830.14tasks_ready=3976tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=319size_allocation=727711744size_allocation_free=727711744size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=728220920threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1251.296time_GC=28.18user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=247520name=byelapsed=0.133 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=234740name=qedelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=238095name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=241143name=byelapsed=0.011 ### Ignoring duplicate rewrite rule: ### ?r1 *\<^sub>R ?x1 \ ?y1 \ ?r1 * (?x1 \ ?y1) ### Ignoring duplicate rewrite rule: ### ?x1 \ ?r1 *\<^sub>R ?y1 \ ?r1 * (?x1 \ ?y1) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=241273name=applyelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=243203name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=238095name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=247734name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=247838name=byelapsed=0.016 ### Ignoring duplicate rewrite rule: ### ?r1 *\<^sub>R ?x1 \ ?y1 \ ?r1 * (?x1 \ ?y1) ### Ignoring duplicate rewrite rule: ### ?x1 \ ?r1 *\<^sub>R ?y1 \ ?r1 * (?x1 \ ?y1) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=241379name=fixelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=238256name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=243557name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=243800name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=241905name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=241425name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=248151name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=248359name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=241590name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=242244name=applyelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=248474name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=241692name=ultimatelyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=248627name=fixelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=250552name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=241703name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=247006name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=248675name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=254220name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=248930name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=249096name=nextelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=245001name=fixelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=250679name=byelapsed=0.112 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=245052name=haveelapsed=0.059 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=249109name=obtainelapsed=0.062 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=250972name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=245333name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=249109name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=245450name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=254486name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=251052name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=249181name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=251128name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=245570name=fixelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=249322name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=245616name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=251483name=fixelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=249477name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=245813name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=251607name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=259238name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=249637name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=253012name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=252143name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=249701name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=252253name=finallyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=254731name=fixelapsed=0.021 ML_statistics = :now=1466031830.64tasks_ready=3950tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=320size_allocation=724566016size_allocation_free=724566016size_heap=4191047680size_heap_free_last_full_GC=0size_heap_free_last_GC=724748744threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1253.084time_GC=28.216user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=252261name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=249842name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=254798name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=250058name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=254877name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=252301name=fixelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=252356name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=250159name=finallyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=255013name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=255196name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=250167name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=264134name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=260792name=applyelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=260404name=byelapsed=0.052 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=264189name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=260575name=byelapsed=0.072 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=264336name=byelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=264767name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=264821name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=286490name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=286656name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=286892name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=286789name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=265100name=byelapsed=0.049 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=287100name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=287229name=byelapsed=0.061 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=306757name=byelapsed=0.065 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=306862name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=287315name=byelapsed=0.090 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=309745name=byelapsed=0.047 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=309840name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=309900name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=309939name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=310244name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=322823name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=309417name=byelapsed=0.144 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=323420name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=323948name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=329754name=byelapsed=0.033 ML_statistics = :now=1466031831.17tasks_ready=3896tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=321size_allocation=723517440size_allocation_free=723517440size_heap=4191047680size_heap_free_last_full_GC=0size_heap_free_last_GC=724098136threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1254.908time_GC=28.252user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=330653name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=330726name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=330818name=byelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=330216name=byelapsed=0.140 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=307039name=applyelapsed=0.343 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=330915name=byelapsed=0.082 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=331309name=byelapsed=0.059 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=331535name=byelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=331599name=applyelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=331176name=byelapsed=0.206 ### Ignoring duplicate rewrite rule: ### affine hull (convex hull ?S1) \ affine hull ?S1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=331963name=applyelapsed=0.071 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=331032name=byelapsed=0.339 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=333442name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=335217name=applyelapsed=0.018 ML_statistics = :now=1466031831.71tasks_ready=3878tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=323size_allocation=719323136size_allocation_free=719323136size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=721139320threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1257.144time_GC=28.328user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=331791name=applyelapsed=0.268 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=337801name=byelapsed=0.049 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=336226name=byelapsed=0.095 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=336400name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=336507name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=337942name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=336604name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=339765name=byelapsed=0.058 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=340071name=applyelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=340157name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=336778name=byelapsed=0.104 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=332030name=applyelapsed=0.373 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=362785name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=362983name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=364912name=byelapsed=0.058 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=365200name=byelapsed=0.112 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=367327name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=367838name=byelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=367216name=byelapsed=0.139 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=368091name=obtainelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=369772name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=368091name=obtainelapsed=0.027 ML_statistics = :now=1466031832.22tasks_ready=3847tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=325size_allocation=714080256size_allocation_free=714080256size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=715557680threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1259.264time_GC=28.388user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=368308name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=368748name=byelapsed=0.047 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=368384name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=368785name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=373429name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=373569name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=368822name=byelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=373653name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=379225name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=373870name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=379374name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=332122name=applyelapsed=0.438 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=374165name=byelapsed=0.055 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=380973name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=384622name=byelapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=384871name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=382960name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=383101name=showelapsed=0.069 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=386874name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=383304name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=381042name=byelapsed=0.126 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=383376name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=385033name=byelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=383463name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=382588name=applyelapsed=0.282 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=383620name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=383762name=finallyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=383770name=showelapsed=0.026 ### Metis: Unused theorems: "local.B_4" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=385174name=byelapsed=0.018 ### Metis: Unused theorems: "local.B_3" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=385336name=byelapsed=0.020 ML_statistics = :now=1466031832.76tasks_ready=3825tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=326size_allocation=711983104size_allocation_free=711983104size_heap=4191047680size_heap_free_last_full_GC=0size_heap_free_last_GC=713668488threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1260.516time_GC=28.424user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=387121name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=395223name=byelapsed=0.067 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=390053name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=383816name=applyelapsed=0.277 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=383966name=applyelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=382753name=applyelapsed=0.253 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=395324name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=395516name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=384027name=applyelapsed=0.048 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=397637name=applyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=390229name=byelapsed=0.059 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=397694name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=397823name=applyelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=390329name=byelapsed=0.052 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=397905name=applyelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=391575name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=398139name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=391608name=nextelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=395754name=byelapsed=0.059 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=399779name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=391636name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=399804name=nextelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=403338name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=391771name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=399852name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=391841name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=399950name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=391975name=ultimatelyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=403593name=byelapsed=0.048 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=400061name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=391986name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=398395name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=398475name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=396344name=byelapsed=0.045 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=391986name=obtainelapsed=0.066 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=401969name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=392184name=haveelapsed=0.026 ML_statistics = :now=1466031833.28tasks_ready=3795tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=328size_allocation=706740224size_allocation_free=706740224size_heap=4191047680size_heap_free_last_full_GC=0size_heap_free_last_GC=707706152threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1263.128time_GC=28.492user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=396179name=byelapsed=0.132 ### Ignoring duplicate rewrite rule: ### aff_dim UNIV \ int DIM(?'n1) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=392269name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=402461name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=401673name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=392347name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=402873name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=402519name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=392438name=ultimatelyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=392449name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=409219name=byelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=414016name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=392520name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=414110name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=392720name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=402912name=applyelapsed=0.133 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=415269name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=415930name=byelapsed=0.107 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=410282name=applyelapsed=0.121 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=410382name=applyelapsed=0.070 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=415445name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=416013name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=416150name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=410756name=haveelapsed=0.029 ML_statistics = :now=1466031833.79tasks_ready=3778tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=329size_allocation=703594496size_allocation_free=703594496size_heap=4191047680size_heap_free_last_full_GC=0size_heap_free_last_GC=704748200threads_in_ML=3threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1264.36time_GC=28.532user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=410815name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=410972name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=409584name=byelapsed=0.413 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=417719name=applyelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=417766name=byelapsed=0.072 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=417841name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=422954name=byelapsed=0.054 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=410534name=byelapsed=0.422 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=430836name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=429137name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=430923name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=433503name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=431081name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=433566name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=431146name=nextelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=432676name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=431179name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=431179name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=426886name=byelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=431261name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=434631name=byelapsed=0.072 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=431440name=showelapsed=0.061 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=426998name=applyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=411108name=byelapsed=0.460 ML_statistics = :now=1466031834.31tasks_ready=3750tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=331size_allocation=697303040size_allocation_free=697303040size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=698227096threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1266.712time_GC=28.604user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=435003name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=435464name=proofelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=434714name=byelapsed=0.059 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=435485name=fixelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=7913name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=435570name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=7998name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=8093name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=435649name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=8180name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=5956name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=8372name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=8464name=nextelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=435123name=byelapsed=0.204 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=8516name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=6037name=byelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=8516name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=9268name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=8577name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=9360name=nextelapsed=0.067 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=8577name=obtainelapsed=0.068 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=8926name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=9412name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=9412name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=437681name=byelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=435980name=byelapsed=0.321 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=6363name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=9473name=obtainelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=6628name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=9473name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=1766name=byelapsed=0.016 ML_statistics = :now=1466031834.81tasks_ready=3744tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=332size_allocation=697303040size_allocation_free=697303040size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=699144704threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1268.192time_GC=28.648user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=9863name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=6747name=byelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=438171name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=2889name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=6820name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=4184name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=7080name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=437808name=byelapsed=0.144 ### Ignoring duplicate rewrite rule: ### 0 \ setdist ?s1 ?t1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=4420name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=2193name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=7213name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=2270name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=2373name=applyelapsed=0.014 ### Ignoring duplicate rewrite rule: ### 0 \ setdist ?s1 ?t1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=7320name=finallyelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=13442name=byelapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=7328name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=2559name=applyelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=15647name=fixelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=13610name=byelapsed=0.056 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=15674name=showelapsed=0.070 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=5006name=byelapsed=0.123 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=14560name=byelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=19507name=byelapsed=0.113 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=14644name=byelapsed=0.047 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=14970name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=21758name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=22244name=byelapsed=0.119 ML_statistics = :now=1466031835.32tasks_ready=3719tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=333size_allocation=691011584size_allocation_free=691011584size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=692400960threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1269.66time_GC=28.692user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=25336name=byelapsed=0.146 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=25548name=byelapsed=0.164 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=41030name=applyelapsed=0.099 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=41225name=applyelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=24917name=byelapsed=0.668 ML_statistics = :now=1466031835.83tasks_ready=3707tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=335size_allocation=686817280size_allocation_free=686817280size_heap=4193144832size_heap_free_last_full_GC=0size_heap_free_last_GC=687821032threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=1271.648time_GC=28.752user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=57675name=applyelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=57362name=applyelapsed=0.103 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=86590name=applyelapsed=0.048 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=86736name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=92421name=applyelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=92574name=byelapsed=0.072 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=93710name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=93793name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=93899name=ultimatelyelapsed=0.066 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=93910name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=93965name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=103959name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=93279name=byelapsed=0.380 ML_statistics = :now=1466031836.33tasks_ready=3689tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=337size_allocation=684720128size_allocation_free=684720128size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=685668888threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1273.528time_GC=28.82user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=104125name=applyelapsed=0.088 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=104171name=byelapsed=0.019 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:file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=4270name=applyelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=9995name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=11693name=applyelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=11408name=applyelapsed=0.070 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=4498name=byelapsed=0.132 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=11862name=applyelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=55693name=applyelapsed=0.232 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=11794name=byelapsed=0.192 ML_statistics = :now=1466031840.04tasks_ready=3473tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=350size_allocation=655360000size_allocation_free=655360000size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=656502464threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1286.456time_GC=29.28user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=12006name=byelapsed=0.146 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=11522name=applyelapsed=0.193 ### Rule already declared as elimination (elim) ### \?A \ ?B; ?c \ ?A \ ?P; ### ?c \ ?B \ ?P\ ### \ ?P command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=19696name=byelapsed=0.156 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=5078name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=5115name=byelapsed=0.050 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=5204name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=4962name=byelapsed=0.149 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=5531name=applyelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=31934name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=5661name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=32061name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=17137name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=16912name=byelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=27006name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=9016name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=11154name=byelapsed=0.071 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=27102name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=11539name=applyelapsed=0.295 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=19902name=byelapsed=0.343 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=9230name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=27335name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=27448name=applyelapsed=0.015 ### Ignoring duplicate rewrite rule: ### of_nat (Suc ?m1) \ (1::?'a1) + of_nat ?m1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=9373name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=27237name=byelapsed=0.052 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=9562name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=9694name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=27710name=applyelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=27574name=applyelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=10139name=byelapsed=0.043 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=27790name=applyelapsed=0.069 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=9900name=byelapsed=0.082 ML_statistics = :now=1466031840.54tasks_ready=3427tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=352size_allocation=650117120size_allocation_free=650117120size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=651674768threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1288.604time_GC=29.336user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=20853name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=20927name=byelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=21062name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=23291name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=21295name=byelapsed=0.062 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=23408name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Weierstrass.thyoffset=47639name=byelapsed=0.125 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=24690name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=24740name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=23491name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=21756name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=21851name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=18489name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=23677name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Linear_Algebra.thyoffset=18601name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=21907name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=23887name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=22036name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=10049name=byelapsed=0.316 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=24041name=fixelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=22141name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=24047name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=27582name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=22339name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=24175name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=27582name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=22551name=fixelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=24289name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=27724name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=22589name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=24368name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=27869name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=22773name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=24588name=finallyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=27966name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=24596name=showelapsed=0.064 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=28110name=fixelapsed=0.057 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=28136name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=28218name=showelapsed=0.030 ML_statistics = :now=1466031841.04tasks_ready=3423tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=353size_allocation=648019968size_allocation_free=648019968size_heap=4191047680size_heap_free_last_full_GC=0size_heap_free_last_GC=649107928threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1290.3time_GC=29.372user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=28885name=byelapsed=0.059 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=28708name=byelapsed=0.149 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=29158name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=48318name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=48787name=byelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=29849name=byelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=28962name=byelapsed=0.252 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=30098name=byelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=46672name=byelapsed=0.091 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=46790name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=30248name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=46911name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=30389name=interpretelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=31626name=applyelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=30389name=interpretelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=31646name=applyelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=30455name=fixelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=49468name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=30516name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=27156name=byelapsed=0.808 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=49602name=fixelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=30630name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=49703name=haveelapsed=0.030 ML_statistics = :now=1466031841.56tasks_ready=3386tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=354size_allocation=644874240size_allocation_free=644874240size_heap=4193144832size_heap_free_last_full_GC=0size_heap_free_last_GC=646055736threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1291.488time_GC=29.396user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=30824name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=49818name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=30851name=nextelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=49894name=ultimatelyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=30917name=interpretelapsed=0.060 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=49905name=showelapsed=0.050 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=49939name=nextelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=30917name=interpretelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=28563name=byelapsed=0.813 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=49950name=fixelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=31011name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=31096name=fixelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=50009name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=32340name=fixelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=31157name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=32366name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=32462name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=31271name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=33054name=byelapsed=0.050 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=32623name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=31492name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=33198name=byelapsed=0.056 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=33891name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=33721name=byelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=33493name=byelapsed=0.061 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=54708name=byelapsed=0.055 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=54749name=byelapsed=0.045 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=34336name=byelapsed=0.056 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=53370name=byelapsed=0.053 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=53164name=byelapsed=0.119 ML_statistics = :now=1466031842.08tasks_ready=3364tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=356size_allocation=643825664size_allocation_free=643825664size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=644993960threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1294.308time_GC=29.456user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = 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:now=1466031846.24tasks_ready=3283tasks_pending=1tasks_running=6tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=368size_allocation=627048448size_allocation_free=627048448size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=627776496threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1308.496time_GC=29.816user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=120666name=applyelapsed=0.044 ### Ignoring duplicate rewrite rule: ### ?r1 *\<^sub>R ?x1 \ ?y1 \ ?r1 * (?x1 \ ?y1) ### Ignoring duplicate rewrite rule: ### ?x1 \ ?r1 *\<^sub>R ?y1 \ ?r1 * (?x1 \ ?y1) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=127429name=applyelapsed=0.323 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=15904name=applyelapsed=0.233 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=128271name=byelapsed=0.082 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=18573name=byelapsed=0.066 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=16207name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=127461name=applyelapsed=0.267 ML_statistics = :now=1466031846.74tasks_ready=3272tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=370size_allocation=622854144size_allocation_free=622854144size_heap=4193144832size_heap_free_last_full_GC=0size_heap_free_last_GC=623798024threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1310.612time_GC=29.868user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=14099name=byelapsed=0.161 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=13261name=applyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=128045name=applyelapsed=0.643 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=21482name=byelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=127537name=byelapsed=0.243 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=16394name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=21676name=byelapsed=0.140 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=16562name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=21824name=byelapsed=0.136 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=14689name=byelapsed=0.010 ### Ignoring duplicate rewrite rule: ### ?r1 *\<^sub>R ?x1 \ ?y1 \ ?r1 * (?x1 \ ?y1) ### Ignoring duplicate rewrite rule: ### ?x1 \ ?r1 *\<^sub>R ?y1 \ ?r1 * (?x1 \ ?y1) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=130435name=applyelapsed=1.874 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=21922name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=21995name=nextelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=130506name=applyelapsed=0.074 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=22066name=haveelapsed=0.059 ML_statistics = :now=1466031847.26tasks_ready=3251tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=372size_allocation=622854144size_allocation_free=622854144size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=624042784threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1312.756time_GC=29.92user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=22129name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=14953name=byelapsed=0.065 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=22209name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=24396name=applyelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=26220name=byelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=16764name=applyelapsed=0.231 ### Ignoring duplicate rewrite rule: ### convex (ball ?x1 ?e1) \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=128096name=applyelapsed=0.469 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=27791name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=41575name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=41733name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=28448name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=45561name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=46254name=fixelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=30199name=byelapsed=0.078 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=46307name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=43673name=fixelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=46408name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=29842name=byelapsed=0.124 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=43726name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=46606name=finallyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=30656name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=43792name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=46614name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=30773name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=56694name=usingelapsed=0.043 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=33549name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=44114name=haveelapsed=0.082 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=30868name=haveelapsed=0.080 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=44199name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=30966name=finallyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=33698name=byelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=44528name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=30984name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=44614name=finallyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=31108name=thuselapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=31343name=byelapsed=0.050 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=33892name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=44622name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=57142name=fixelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=31437name=byelapsed=0.019 ML_statistics = :now=1466031847.77tasks_ready=3215tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=373size_allocation=620756992size_allocation_free=620756992size_heap=4191047680size_heap_free_last_full_GC=0size_heap_free_last_GC=622038744threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1314.172time_GC=29.956user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=28093name=byelapsed=0.434 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=31649name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=57210name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=32616name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=51564name=fixelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=57359name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=31725name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=64422name=fixelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=31793name=fixelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=51642name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=57427name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=64434name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=31889name=henceelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=51740name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=34587name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=64691name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=52512name=applyelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=51850name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=32020name=henceelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=64894name=finallyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=66715name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=51960name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=32137name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=66785name=nextelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=64902name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=52061name=finallyelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=32341name=finallyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=54243name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=66813name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=52069name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=54428name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=54514name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=32349name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=52147name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=53003name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=53151name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=68719name=fixelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=32434name=ultimatelyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=78309name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=32445name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=69982name=fixelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=60839name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=68776name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=69994name=fixelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=60933name=fixelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=70861name=fixelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=68947name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=70035name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=61073name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=70884name=fixelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=69397name=ultimatelyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=53396name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=70987name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=61238name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=69408name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=72516name=fixelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=82818name=proofelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=63150name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=71295name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=72562name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=82927name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=63338name=ultimatelyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=71598name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=82927name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=63349name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=72604name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=71598name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=53483name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=83036name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=72604name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=71728name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=76400name=fixelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=71848name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=72725name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=98276name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=76455name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=71848name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=72725name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=95577name=byelapsed=0.011 ML_statistics = :now=1466031848.27tasks_ready=3206tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=373size_allocation=620756992size_allocation_free=208511552size_heap=4191047680size_heap_free_last_full_GC=0size_heap_free_last_GC=622038744threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1315.744time_GC=29.956user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=98415name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=71920name=fixelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=76629name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=72870name=letelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=95671name=haveelapsed=0.091 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=71934name=haveelapsed=0.087 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=98491name=byelapsed=0.085 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=72897name=haveelapsed=0.090 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=96144name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=95777name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=73102name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=72026name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=99693name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=99551name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=72133name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=73217name=ultimatelyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=96202name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=99766name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=73228name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=72222name=finallyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=104330name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=72230name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=2114name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=99875name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=104526name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=72328name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=2229name=nextelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=104683name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=2262name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=3073name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=3107name=nextelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=2315name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=107004name=byelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=105214name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=2940name=byelapsed=0.129 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=3140name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=107567name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=107884name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=108130name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=3197name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=28784name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=5772name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=26091name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=31129name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=26352name=applyelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=5839name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=108547name=byelapsed=0.064 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=26498name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=31293name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=5839name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=31409name=proofelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=31964name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=5997name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=31476name=fixelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=32120name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=6093name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=32207name=withelapsed=0.055 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=31533name=haveelapsed=0.084 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=32220name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=6211name=haveelapsed=0.080 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=31650name=showelapsed=0.033 ML_statistics = :now=1466031848.85tasks_ready=3164tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=375size_allocation=606076928size_allocation_free=606076928size_heap=4188950528size_heap_free_last_full_GC=0size_heap_free_last_GC=606709232threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=1318.48time_GC=30.064user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=6273name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=37990name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=27109name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=38143name=applyelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=6382name=showelapsed=0.029 ### Ignoring duplicate rewrite rule: ### interior (cbox ?a1 ?b1) \ box ?a1 ?b1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=32478name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=6407name=nextelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=43689name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=37374name=byelapsed=0.261 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=27221name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=6428name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=38477name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=32857name=fixelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=35351name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=38573name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=32929name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=35466name=fixelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=27601name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=33096name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=35502name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=33515name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=33656name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=35893name=showelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=41072name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=36009name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=41224name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=41324name=byelapsed=0.059 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=41373name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=36114name=showelapsed=0.081 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=41434name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=45849name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=27746name=applyelapsed=0.216 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=50891name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=41655name=byelapsed=0.013 ### Metis: Unused theorems: "??.unknown" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=32573name=byelapsed=0.363 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=45961name=haveelapsed=0.031 ### Metis: Unused theorems: "??.unknown" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=51111name=byelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=51242name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=41761name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=46026name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=66630name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=41822name=nextelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=68571name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=67973name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=42013name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=66687name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=68091name=nextelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=42046name=nextelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=66687name=obtainelapsed=0.025 ML_statistics = :now=1466031849.37tasks_ready=3127tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=376size_allocation=602931200size_allocation_free=602931200size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=604131968threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1319.76time_GC=30.112user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=68121name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=66962name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=42099name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=61566name=applyelapsed=0.078 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=42163name=nextelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=68644name=fixelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=61600name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=62358name=fixelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=65006name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=42216name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=68717name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=62397name=obtainelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=65082name=fixelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=42342name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=68825name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=62397name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=65133name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=42342name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=62630name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=69116name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=42426name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=76856name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=69746name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=42526name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=77285name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=69821name=finallyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=42696name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=65490name=fixelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=69829name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=42696name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=65536name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=42784name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=65822name=applyelapsed=0.058 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=65681name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=42883name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=65909name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=70751name=applyelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=74136name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=43004name=ultimatelyelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=74335name=unfoldingelapsed=0.054 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=63797name=byelapsed=0.066 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=43015name=showelapsed=0.081 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=74360name=applyelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=63312name=byelapsed=0.265 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=64140name=fixelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=64198name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=64313name=showelapsed=0.030 ML_statistics = :now=1466031849.9tasks_ready=3112tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=377size_allocation=599785472size_allocation_free=599785472size_heap=4187901952size_heap_free_last_full_GC=0size_heap_free_last_GC=600331472threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1321.852time_GC=30.164user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=78943name=byelapsed=0.276 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=63868name=applyelapsed=0.312 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=84454name=proofelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=84557name=fixelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=84647name=haveelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=84945name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=85023name=haveelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=85248name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=85419name=finallyelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=85427name=showelapsed=0.076 ML_statistics = :now=1466031850.43tasks_ready=3113tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=379size_allocation=592445440size_allocation_free=592445440size_heap=4191047680size_heap_free_last_full_GC=0size_heap_free_last_GC=593053312threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1324.06time_GC=30.24user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=86386name=fixelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=86456name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=86544name=obtainelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=86544name=obtainelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=86706name=obtainelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=86706name=obtainelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=86868name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=87003name=showelapsed=0.080 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=79425name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=79725name=applyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=80602name=obtainelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=80602name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=80767name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=80884name=showelapsed=0.031 ML_statistics = :now=1466031850.96tasks_ready=3113tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=380size_allocation=590348288size_allocation_free=590348288size_heap=4191047680size_heap_free_last_full_GC=0size_heap_free_last_GC=591152064threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1325.204time_GC=30.284user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=79807name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=101023name=proofelapsed=0.064 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=101075name=fixelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=84089name=byelapsed=1.310 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=101219name=showelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=102308name=fixelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=103319name=applyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=102355name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=102403name=showelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=63953name=byelapsed=1.129 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=112097name=fixelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=112839name=fixelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=112176name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=84291name=byelapsed=1.383 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=112918name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=103578name=applyelapsed=0.125 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=124864name=proofelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=113759name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=114185name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=124920name=fixelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=125584name=proofelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=114261name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=113826name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=114330name=unfoldingelapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=125640name=fixelapsed=0.070 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=125098name=showelapsed=0.076 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=128604name=haveelapsed=0.068 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=128997name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=128910name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=125818name=showelapsed=0.032 ### Ignoring duplicate rewrite rule: ### ?r1 *\<^sub>R ?x1 \ ?y1 \ ?r1 * (?x1 \ ?y1) ### Ignoring duplicate rewrite rule: ### ?x1 \ ?r1 *\<^sub>R ?y1 \ ?r1 * (?x1 \ ?y1) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=114617name=byelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=122477name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=114979name=showelapsed=0.032 ML_statistics = :now=1466031851.48tasks_ready=3093tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=382size_allocation=583008256size_allocation_free=583008256size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=583444384threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1327.52time_GC=30.368user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=116583name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=114780name=byelapsed=0.084 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=115038name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=123006name=byelapsed=0.011 ### Ignoring duplicate rewrite rule: ### ?r1 *\<^sub>R ?x1 \ ?y1 \ ?r1 * (?x1 \ ?y1) ### Ignoring duplicate rewrite rule: ### ?x1 \ ?r1 *\<^sub>R ?y1 \ ?r1 * (?x1 \ ?y1) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=116642name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=115142name=fixelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=116384name=byelapsed=0.083 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=116746name=fixelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=132067name=applyelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=115193name=guesselapsed=0.049 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=116797name=guesselapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=115252name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=116856name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=118424name=byelapsed=0.060 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=115292name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=132168name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=116896name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=115453name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=117045name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=115601name=fixelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=117194name=fixelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=117208name=letelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=115615name=letelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=117294name=guesselapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=115701name=guesselapsed=0.052 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=117353name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=136975name=byelapsed=0.269 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=115760name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=115800name=assumeelapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=117428name=showelapsed=0.069 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=115835name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=133471name=applyelapsed=0.082 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=119092name=fixelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=133572name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=119881name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=119155name=guesselapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=140103name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=119165name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=140442name=nextelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=119205name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=118618name=byelapsed=0.355 ML_statistics = :now=1466031852.01tasks_ready=3078tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=383size_allocation=579862528size_allocation_free=579862528size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=580508672threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1329.264time_GC=30.408user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=139407name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=140549name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=157119name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=140627name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=157010name=byelapsed=0.052 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=119790name=byelapsed=0.207 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=170462name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=157259name=guesselapsed=0.054 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=156746name=byelapsed=0.045 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=170548name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=157271name=.elapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=157304name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=170691name=finallyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=170699name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=162634name=byelapsed=0.115 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=157447name=guesselapsed=0.056 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=170986name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=172617name=fixelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=171031name=nextelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=157457name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=172677name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=171064name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=172810name=showelapsed=0.063 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=157537name=guesselapsed=0.090 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=156852name=byelapsed=0.224 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=171348name=showelapsed=0.069 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=157567name=..elapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=165298name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=174103name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=162770name=fixelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=162823name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=174457name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=157604name=guesselapsed=0.049 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=182346name=applyelapsed=0.054 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=177066name=finallyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=157634name=..elapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=162935name=guesselapsed=0.049 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=177074name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=183558name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=157671name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=162944name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=165925name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=178958name=applyelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=157932name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=178997name=applyelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=166045name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=158016name=ultimatelyelapsed=0.028 ML_statistics = :now=1466031852.53tasks_ready=3065tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=384size_allocation=575668224size_allocation_free=575668224size_heap=4191047680size_heap_free_last_full_GC=0size_heap_free_last_GC=576731152threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1331.004time_GC=30.448user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=163009name=guesselapsed=0.053 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=184268name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=179612name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=158027name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=163018name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=184363name=fixelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=180349name=nextelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=184464name=letelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=163142name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=184578name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=163142name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=180424name=guesselapsed=0.053 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=163243name=fixelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=180433name=.elapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=184778name=guesselapsed=0.045 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=198024name=applyelapsed=0.117 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=163362name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=180454name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=184786name=..elapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=166332name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=166451name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=163610name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=184800name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=200021name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=163733name=finallyelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=200170name=fixelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=184946name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=202460name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=163741name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=200327name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=202552name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=163805name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=185137name=guesselapsed=0.044 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=204950name=applyelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=202689name=nextelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=185145name=..elapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=163885name=fixelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=205060name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=202726name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=185194name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=163932name=haveelapsed=0.026 ### Introduced fixed type variable(s): 'c, 'd in "fb__" or "g__" or "sa__" or "ta__" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=202820name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=205191name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=164096name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=203035name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=185471name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=205248name=nextelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=164221name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=166668name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=185862name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=205288name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=166807name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=164294name=finallyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=205419name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=188430name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=198544name=applyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=188792name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=164302name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=203314name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=189098name=finallyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=164528name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=203470name=nextelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=189106name=showelapsed=0.023 ML_statistics = :now=1466031853.1tasks_ready=3076tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=385size_allocation=573571072size_allocation_free=573571072size_heap=4185804800size_heap_free_last_full_GC=0size_heap_free_last_GC=574918504threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1333.78time_GC=30.516user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=164819name=showelapsed=0.102 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=203502name=showelapsed=0.104 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=218952name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=210242name=fixelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=207791name=applyelapsed=0.175 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=219237name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=216459name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=208110name=applyelapsed=0.170 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=219379name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=210351name=guesselapsed=0.052 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=226499name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=219535name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=210361name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=219695name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=226697name=applyelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=210393name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=210452name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=219778name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=210592name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=219849name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=229722name=applyelapsed=0.059 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=220315name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=210956name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=211336name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=220377name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=220554name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=211514name=finallyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=211522name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=220727name=ultimatelyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=220744name=showelapsed=0.031 ### Ignoring duplicate rewrite rule: ### ?r1 *\<^sub>R ?x1 \ ?y1 \ ?r1 * (?x1 \ ?y1) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=229829name=byelapsed=0.035 ### Ignoring duplicate rewrite rule: ### ?x1 \ ?r1 *\<^sub>R ?y1 \ ?r1 * (?x1 \ ?y1) ### Ignoring duplicate rewrite rule: ### ?r1 *\<^sub>R ?x1 \ ?y1 \ ?r1 * (?x1 \ ?y1) ### Ignoring duplicate rewrite rule: ### ?x1 \ ?r1 *\<^sub>R ?y1 \ ?r1 * (?x1 \ ?y1) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=235909name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=236067name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=227085name=applyelapsed=0.201 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=236140name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=227330name=byelapsed=0.091 ML_statistics = :now=1466031853.6tasks_ready=3073tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=386size_allocation=559939584size_allocation_free=559939584size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=560435112threads_in_ML=3threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1335.4time_GC=30.56user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=238846name=applyelapsed=0.037 ### Ignoring duplicate rewrite rule: ### ?r1 *\<^sub>R ?x1 \ ?y1 \ ?r1 * (?x1 \ ?y1) ### Ignoring duplicate rewrite rule: ### ?x1 \ ?r1 *\<^sub>R ?y1 \ ?r1 * (?x1 \ ?y1) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=236441name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=227528name=applyelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=227675name=applyelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=228066name=byelapsed=0.014 ### Ignoring duplicate rewrite rule: ### ?r1 *\<^sub>R ?x1 \ ?y1 \ ?r1 * (?x1 \ ?y1) ### Ignoring duplicate rewrite rule: ### ?x1 \ ?r1 *\<^sub>R ?y1 \ ?r1 * (?x1 \ ?y1) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=236603name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=231695name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=231840name=fixelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=231962name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=227984name=applyelapsed=0.168 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=234257name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=236688name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=234365name=haveelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=264967name=fixelapsed=0.064 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=234800name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=265042name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=234979name=finallyelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=265103name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=234987name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=265180name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=235013name=showelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=263134name=applyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=263510name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=263702name=letelapsed=0.027 ML_statistics = :now=1466031854.1tasks_ready=3066tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=387size_allocation=560988160size_allocation_free=560988160size_heap=4191047680size_heap_free_last_full_GC=0size_heap_free_last_GC=561366680threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1336.612time_GC=30.6user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=263783name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=272328name=applyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=271441name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=271363name=applyelapsed=0.138 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=271645name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=278831name=fixelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=244975name=thuselapsed=0.061 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=278879name=showelapsed=0.065 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=245011name=nextelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=245044name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=278922name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=245426name=fixelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=267407name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=226384name=byelapsed=1.214 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=245597name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=267572name=applyelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=277099name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=245736name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=246392name=finallyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=247204name=thuselapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=246400name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=268115name=fixelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=247240name=nextelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=268173name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=247273name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=268343name=nextelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=268899name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=268354name=fixelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=267759name=byelapsed=0.184 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=268391name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=269046name=haveelapsed=0.028 ML_statistics = :now=1466031854.62tasks_ready=3043tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=388size_allocation=559939584size_allocation_free=559939584size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=560386224threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1337.988time_GC=30.636user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=268514name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=269106name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=247655name=fixelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=227214name=byelapsed=1.172 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=269639name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=269330name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=270378name=applyelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=247820name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=249113name=applyelapsed=0.063 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=269729name=haveelapsed=0.073 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=284005name=byelapsed=0.090 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=291713name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=247959name=haveelapsed=0.082 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=270018name=ultimatelyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=249356name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=273639name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=248658name=finallyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=270029name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=249527name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=273694name=fixelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=248666name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=285344name=fixelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=249868name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=296260name=applyelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=273766name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=285412name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=251779name=nextelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=285798name=qedelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=296717name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=251790name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=286190name=fixelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=286537name=fixelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=286204name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=251896name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=286611name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=297000name=guesselapsed=0.053 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=287055name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=306195name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=297008name=..elapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=297660name=guesselapsed=0.053 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=422974name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=406016name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=418464name=fixelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=418933name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=417223name=byelapsed=0.043 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=406288name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=419102name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=418483name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=417424name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=411541name=fixelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=406554name=haveelapsed=0.026 ML_statistics = :now=1466031857.8tasks_ready=2984tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=396size_allocation=520093696size_allocation_free=520093696size_heap=4188950528size_heap_free_last_full_GC=0size_heap_free_last_GC=520993552threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1349.804time_GC=31.048user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=417529name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=419189name=guesselapsed=0.044 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=411628name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=406680name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=419197name=..elapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=417529name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=406915name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=411661name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=419220name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=417600name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=406992name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=411856name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=420337name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=419916name=fixelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=420512name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=407184name=finallyelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=419935name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=407192name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=421338name=fixelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=47276name=byelapsed=0.044 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=407268name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=420599name=guesselapsed=0.053 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=421380name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=47400name=byelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=420607name=..elapsed=0.031 ### Rule already declared as introduction (intro) ### open {} ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=421485name=showelapsed=0.026 ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=441756name=byelapsed=0.051 ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### closed UNIV command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=442334name=byelapsed=0.019 ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=420628name=showelapsed=0.032 ### Rule already declared as introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \S\?K. closed S \ closed (\?K) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=449823name=byelapsed=0.013 ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Rule already declared as introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Rule already declared as introduction (intro) ### closed ?S \ open (- ?S) ### Rule already declared as introduction (intro) ### open ?S \ closed (- ?S) ### Rule already declared as introduction (intro) ### continuous_on ?s (linepath ?a ?b) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=453550name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=449610name=byelapsed=0.074 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=453441name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=442898name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=443044name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=454189name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=443852name=byelapsed=0.082 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=453164name=byelapsed=0.168 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=442740name=byelapsed=0.167 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=454327name=byelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=443605name=applyelapsed=0.141 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=444653name=applyelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=444281name=applyelapsed=0.061 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=450607name=henceelapsed=0.044 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=451134name=byelapsed=0.044 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integral_Test.thyoffset=1436name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=450742name=haveelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=454500name=haveelapsed=0.046 ML_statistics = 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command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=445418name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=454938name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=454718name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=451009name=finallyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=445872name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=455019name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=454765name=ultimatelyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=451017name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=455257name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integral_Test.thyoffset=2518name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integral_Test.thyoffset=4346name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=454776name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=446015name=applyelapsed=0.049 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=437333name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integral_Test.thyoffset=2613name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integral_Test.thyoffset=4574name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integral_Test.thyoffset=2948name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integral_Test.thyoffset=2850name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=437894name=applyelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=52354name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=438011name=applyelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=437741name=byelapsed=0.107 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=438546name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=438057name=applyelapsed=0.074 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=438830name=applyelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=52489name=byelapsed=0.120 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=438958name=applyelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=439314name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=439590name=applyelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Continuous_Function.thyoffset=5768name=fixelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=439707name=applyelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=446301name=applyelapsed=0.236 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Continuous_Function.thyoffset=6028name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Continuous_Function.thyoffset=5820name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=439753name=applyelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Continuous_Function.thyoffset=7142name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Continuous_Function.thyoffset=9505name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=438135name=applyelapsed=0.148 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Continuous_Function.thyoffset=7582name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Continuous_Function.thyoffset=11229name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Continuous_Function.thyoffset=8097name=fixelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Continuous_Function.thyoffset=8137name=showelapsed=0.062 ML_statistics = :now=1466031858.87tasks_ready=2910tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=399size_allocation=507510784size_allocation_free=507510784size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=508656912threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1353.808time_GC=31.164user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Continuous_Function.thyoffset=13269name=fixelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Continuous_Function.thyoffset=12468name=byelapsed=0.140 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=439831name=applyelapsed=0.185 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Continuous_Function.thyoffset=13281name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=438217name=applyelapsed=0.182 ### Rule already declared as introduction (intro) ### open {} ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Continuous_Function.thyoffset=13729name=byelapsed=0.034 ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### closed UNIV ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=1109name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=67831name=byelapsed=0.016 ### Rule already declared as introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Rule already declared as introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Rule already declared as introduction (intro) ### closed ?S \ open (- ?S) ### Rule already declared as introduction (intro) ### open ?S \ closed (- ?S) ### Rule already declared as introduction (intro) ### continuous_on ?s (linepath ?a ?b) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Continuous_Function.thyoffset=13461name=qedelapsed=0.078 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=11410name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=11344name=byelapsed=0.040 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=67986name=byelapsed=0.060 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=11694name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=11904name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=439913name=applyelapsed=0.186 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=29270name=proofelapsed=0.069 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=5506name=fixelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=29420name=fixelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=2326name=byelapsed=0.125 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=5523name=fixelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=29436name=haveelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=5549name=fixelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=5569name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=20176name=applyelapsed=0.050 command_timing = 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:now=1466031863.17tasks_ready=2718tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=416size_allocation=465567744size_allocation_free=465567744size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=466731640threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1367.576time_GC=31.808user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=62387name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=61296name=applyelapsed=0.080 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=59263name=byelapsed=0.096 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=62566name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=63424name=applyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=63180name=byelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=59478name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=62674name=ultimatelyelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=60000name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=59820name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=60572name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=60750name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=62685name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=60368name=applyelapsed=0.048 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=66947name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=73101name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=67164name=byelapsed=0.060 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=21205name=byelapsed=0.072 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=67107name=byelapsed=0.121 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=19777name=byelapsed=0.043 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=19536name=applyelapsed=0.111 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=67588name=byelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=20964name=applyelapsed=0.213 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=73518name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=19571name=applyelapsed=0.063 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=67697name=haveelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=73678name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=67794name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=68176name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=20999name=applyelapsed=0.116 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=68034name=ultimatelyelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=68389name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=73853name=byelapsed=0.056 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=73727name=byelapsed=0.089 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=68045name=showelapsed=0.089 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=68700name=applyelapsed=0.020 ML_statistics = 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:file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=69085name=nextelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=79234name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=83686name=byelapsed=0.073 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=69096name=showelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=79296name=considerelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=74452name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=79362name=haveelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=79907name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=84011name=byelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=84125name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=87155name=byelapsed=0.055 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=87105name=byelapsed=0.069 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=83854name=byelapsed=0.242 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=87283name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=89731name=byelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=87302name=nextelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=87326name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=87431name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=72696name=applyelapsed=0.320 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=87517name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=89885name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=87588name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=89988name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=97171name=byelapsed=0.010 ML_statistics = :now=1466031864.24tasks_ready=2657tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=419size_allocation=458227712size_allocation_free=458227712size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=459362712threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1370.684time_GC=31.932user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=89988name=obtainelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=90066name=haveelapsed=0.073 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=90095name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=100315name=byelapsed=0.135 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=90274name=obtainelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=90274name=obtainelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=100577name=applyelapsed=0.085 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=90803name=obtainelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=100665name=applyelapsed=0.043 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=90803name=obtainelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=90914name=showelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=92748name=..elapsed=0.081 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=92805name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=97066name=byelapsed=0.600 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=100727name=applyelapsed=0.139 ### Ignoring duplicate rewrite rule: ### dist (0::?'a1) ?x1 \ norm ?x1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=48629name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=48875name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=49020name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=49236name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=49560name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=49386name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=88022name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=54618name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=49653name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=54461name=byelapsed=0.072 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=54724name=byelapsed=0.022 ML_statistics = 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:file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=65988name=applyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=64841name=byelapsed=0.274 ### Ignoring duplicate rewrite rule: ### dist (0::?'a1) ?x1 \ norm ?x1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=80888name=fixelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=82987name=byelapsed=0.052 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=81998name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=83047name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=80900name=haveelapsed=0.087 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=82122name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=54891name=applyelapsed=0.387 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=83162name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=82234name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=83440name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=81261name=haveelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=82281name=byelapsed=0.019 ### Ignoring duplicate rewrite rule: ### dist (0::?'a1) ?x1 \ norm ?x1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=83999name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=89543name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=81420name=haveelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=92620name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=82541name=byelapsed=0.077 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=81574name=finallyelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=99625name=byelapsed=0.015 ML_statistics = :now=1466031865.3tasks_ready=2604tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=423size_allocation=447741952size_allocation_free=447741952size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=448337296threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1374.46time_GC=32.088user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=81582name=showelapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=106977name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=105837name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=92666name=byelapsed=0.093 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=105931name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=107074name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=99671name=byelapsed=0.128 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=107141name=byelapsed=0.071 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=113199name=byelapsed=0.065 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=113387name=byelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=113518name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=1221name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=7832name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=1115name=byelapsed=0.061 ### Ignoring duplicate rewrite rule: ### dist (0::?'a1) ?x1 \ norm ?x1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=5705name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=1404name=byelapsed=0.062 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=8379name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=7883name=byelapsed=0.049 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=5766name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=8080name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=8244name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=5802name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=8395name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=6011name=byelapsed=0.043 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=10811name=byelapsed=0.097 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=8815name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=8944name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=8643name=byelapsed=0.080 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Generalised_Binomial_Theorem.thyoffset=6227name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=12801name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=17481name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=17607name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=12933name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=13172name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=15065name=byelapsed=0.071 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=19088name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=19187name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=19292name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=19387name=byelapsed=0.026 ### Ignoring duplicate rewrite rule: ### \n. ?f1 n * (0::?'a1) ^ n \ ?f1 0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=13243name=byelapsed=0.074 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=5304name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Harmonic_Numbers.thyoffset=19548name=byelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=24184name=byelapsed=0.012 ML_statistics = :now=1466031865.82tasks_ready=2525tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=425size_allocation=445644800size_allocation_free=445644800size_heap=4193144832size_heap_free_last_full_GC=0size_heap_free_last_GC=445797776threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1376.324time_GC=32.148user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=11636name=byelapsed=0.072 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=24531name=byelapsed=0.055 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=24412name=byelapsed=0.060 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=29685name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=29609name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=17882name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=29959name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=31303name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=26178name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=18378name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=18596name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=31578name=byelapsed=0.052 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=26782name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=18805name=byelapsed=0.061 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=26918name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=18883name=byelapsed=0.065 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=19055name=byelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=35080name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=35235name=byelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=19460name=byelapsed=0.052 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=27153name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=19197name=byelapsed=0.123 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=20085name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=19897name=byelapsed=0.077 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=41794name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=20194name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=20338name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=20446name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=102954name=byelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=19641name=byelapsed=0.191 command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=103174name=byelapsed=0.056 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=43370name=byelapsed=0.049 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=40944name=byelapsed=0.012 ML_statistics = :now=1466031866.37tasks_ready=2461tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=428size_allocation=441450496size_allocation_free=441450496size_heap=4191047680size_heap_free_last_full_GC=0size_heap_free_last_GC=442205576threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1378.732time_GC=32.24user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=41167name=byelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=42899name=byelapsed=0.146 ML_statistics = :now=1466031866.91tasks_ready=2460tasks_pending=1tasks_running=7tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=430size_allocation=437256192size_allocation_free=437256192size_heap=4193144832size_heap_free_last_full_GC=0size_heap_free_last_GC=439091576threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1380.2time_GC=32.3user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1466031867.47tasks_ready=2456tasks_pending=1tasks_running=7tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=433size_allocation=436207616size_allocation_free=436207616size_heap=4193144832size_heap_free_last_full_GC=0size_heap_free_last_GC=437817648threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1382.488time_GC=32.388user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=5861name=applyelapsed=1.116 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=5391name=applyelapsed=1.306 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=18233name=byelapsed=1.352 ML_statistics = :now=1466031868.01tasks_ready=2458tasks_pending=1tasks_running=6tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=435size_allocation=435159040size_allocation_free=435159040size_heap=4193144832size_heap_free_last_full_GC=0size_heap_free_last_GC=436350152threads_in_ML=3threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1383.984time_GC=32.444user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=5952name=applyelapsed=0.863 ML_statistics = :now=1466031868.52tasks_ready=2455tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=437size_allocation=433061888size_allocation_free=433061888size_heap=4193144832size_heap_free_last_full_GC=0size_heap_free_last_GC=434069064threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1385.452time_GC=32.504user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=5482name=applyelapsed=1.084 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=5579name=applyelapsed=0.016 ML_statistics = :now=1466031869.05tasks_ready=2455tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=439size_allocation=432013312size_allocation_free=432013312size_heap=4193144832size_heap_free_last_full_GC=0size_heap_free_last_GC=433574088threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1386.928time_GC=32.56user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1466031869.63tasks_ready=2455tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=442size_allocation=429916160size_allocation_free=429916160size_heap=4193144832size_heap_free_last_full_GC=0size_heap_free_last_GC=431318064threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1389.16time_GC=32.648user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=89596name=byelapsed=5.756 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=29119name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=29277name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=29372name=byelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=18440name=byelapsed=2.136 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=30282name=byelapsed=0.044 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=30506name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=31099name=obtainelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=30590name=nextelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=31099name=obtainelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=30605name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=31222name=thuselapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=30696name=obtainelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=30696name=obtainelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=30798name=showelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=6121name=applyelapsed=1.754 ML_statistics = :now=1466031870.13tasks_ready=2444tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=443size_allocation=428867584size_allocation_free=428867584size_heap=4193144832size_heap_free_last_full_GC=0size_heap_free_last_GC=430745088threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1389.936time_GC=32.676user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=49376name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=37013name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=49522name=byelapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=58718name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=58864name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=57094name=guesselapsed=0.097 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=60262name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=57102name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=57203name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=60841name=byelapsed=0.083 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=57297name=thuselapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=60507name=byelapsed=0.048 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=57528name=showelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=61122name=byelapsed=0.012 ### Ignoring duplicate rewrite rule: ### dist (0::?'a1) ?x1 \ norm ?x1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=85017name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=87182name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=85310name=byelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=87348name=byelapsed=0.058 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=85453name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=82042name=byelapsed=0.015 ### Ignoring duplicate rewrite rule: ### dist (0::?'a1) ?x1 \ norm ?x1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=36512name=byelapsed=0.465 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=87605name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=85618name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=82327name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=87447name=byelapsed=0.055 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=85883name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=86048name=byelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=86267name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=86464name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=82827name=byelapsed=0.079 ML_statistics = :now=1466031870.64tasks_ready=2394tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=445size_allocation=425721856size_allocation_free=425721856size_heap=4193144832size_heap_free_last_full_GC=0size_heap_free_last_GC=427592248threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1391.988time_GC=32.736user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=94828name=henceelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=5651name=applyelapsed=1.937 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=94931name=haveelapsed=0.067 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=92212name=applyelapsed=0.149 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=92562name=applyelapsed=0.149 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=95130name=haveelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=95400name=haveelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=92912name=applyelapsed=0.117 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=95539name=finallyelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=95547name=showelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=93263name=applyelapsed=0.155 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=92660name=applyelapsed=0.342 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=92310name=applyelapsed=0.367 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=98512name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=98658name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=98823name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=101037name=byelapsed=0.018 ML_statistics = :now=1466031871.17tasks_ready=2388tasks_pending=1tasks_running=6tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=447size_allocation=425721856size_allocation_free=425721856size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=426748296threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1393.864time_GC=32.788user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=98912name=byelapsed=0.047 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=98980name=usingelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=93010name=applyelapsed=0.403 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=96326name=byelapsed=0.140 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=99008name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=99082name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=96555name=byelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=99290name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=99229name=byelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=99696name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=99513name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=100127name=byelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=99917name=byelapsed=0.052 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=101906name=byelapsed=0.053 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=102375name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=97017name=showelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=98111name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=100490name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=97670name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=93361name=applyelapsed=0.398 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=90969name=henceelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=97847name=thuselapsed=0.076 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=103106name=byelapsed=0.106 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=91460name=byelapsed=0.078 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=92007name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=91040name=henceelapsed=0.076 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=92621name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=92120name=byelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=91173name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=103986name=fixelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=92880name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=104689name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=104016name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=92970name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=104816name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=104084name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=93027name=thuselapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=104865name=thuselapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=104145name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=93075name=nextelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=104891name=nextelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=104199name=finallyelapsed=0.025 ML_statistics = :now=1466031871.68tasks_ready=2342tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=449size_allocation=419430400size_allocation_free=419430400size_heap=4189999104size_heap_free_last_full_GC=0size_heap_free_last_GC=421177064threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1395.592time_GC=32.864user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=93110name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=103857name=byelapsed=0.195 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=104902name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=104207name=showelapsed=0.025 ### Ignoring duplicate rewrite rule: ### cball ?x1 ?e1 = {} \ ?e1 < 0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=93204name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=107502name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=107843name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=93291name=haveelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=115110name=byelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=93391name=ultimatelyelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=106913name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=93402name=showelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=104631name=applyelapsed=0.104 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=108019name=byelapsed=0.045 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=107856name=byelapsed=0.053 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=108273name=applyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=114865name=byelapsed=0.195 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=109089name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=107706name=byelapsed=0.104 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=109181name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=117943name=byelapsed=0.011 ### Ignoring duplicate rewrite rule: ### convex ?s1 \ convex (interior ?s1) \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=108986name=byelapsed=0.083 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=109396name=byelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=110193name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=110368name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=110560name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=118074name=showelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=119431name=fixelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=118304name=nextelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=110710name=byelapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=119461name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=110975name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=118331name=haveelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=119602name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=119752name=finallyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=118462name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=111336name=byelapsed=0.108 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=118810name=haveelapsed=0.074 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=119760name=showelapsed=0.076 ML_statistics = :now=1466031872.24tasks_ready=2306tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=451size_allocation=414187520size_allocation_free=414187520size_heap=4191047680size_heap_free_last_full_GC=0size_heap_free_last_GC=415465032threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1397.988time_GC=32.944user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=118941name=haveelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=119288name=haveelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=119419name=haveelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=119766name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=111761name=byelapsed=0.192 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=112086name=applyelapsed=0.186 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=119975name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=112640name=applyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=120169name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=112860name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=112280name=byelapsed=0.056 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=113021name=usingelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=113250name=byelapsed=0.054 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=120369name=ultimatelyelapsed=0.073 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=122357name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=113077name=byelapsed=0.060 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=120380name=haveelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=113417name=byelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=113692name=applyelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=122525name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=120489name=fixelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=122616name=nextelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=117734name=byelapsed=0.691 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=120637name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=122657name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=123111name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=120789name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=114469name=applyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=115313name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=120971name=haveelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=115485name=byelapsed=0.031 ML_statistics = :now=1466031872.74tasks_ready=2301tasks_pending=1tasks_running=7tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=452size_allocation=412090368size_allocation_free=412090368size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=413587368threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1399.064time_GC=32.98user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=123349name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=114772name=applyelapsed=0.083 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=115657name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=121123name=haveelapsed=0.061 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=114828name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=115070name=applyelapsed=0.051 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=115975name=byelapsed=0.060 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=116063name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=121760name=haveelapsed=0.069 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=116315name=byelapsed=0.016 ### Rule already declared as introduction (intro) ### open {} ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=121917name=showelapsed=0.037 ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### closed UNIV ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Rule already declared as introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=127973name=byelapsed=0.023 ### Rule already declared as introduction (intro) ### closed ?S \ open (- ?S) ### Rule already declared as introduction (intro) ### open ?S \ closed (- ?S) ### Rule already declared as introduction (intro) ### continuous_on ?s (linepath ?a ?b) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=125176name=byelapsed=0.141 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=113896name=applyelapsed=0.413 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=116450name=byelapsed=0.140 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=127362name=byelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=125833name=showelapsed=0.063 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=128605name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=125938name=nextelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=128866name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=125949name=fixelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=129213name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=113970name=applyelapsed=0.162 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=125994name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=129506name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=129752name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=126147name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=129910name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=126287name=nextelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=135600name=byelapsed=0.051 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=126313name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=132194name=byelapsed=0.024 ML_statistics = :now=1466031873.27tasks_ready=2275tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=454size_allocation=409993216size_allocation_free=409993216size_heap=4193144832size_heap_free_last_full_GC=0size_heap_free_last_GC=411131816threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1400.936time_GC=33.04user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=126363name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=135327name=byelapsed=0.106 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=132316name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=132379name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=126415name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=135765name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=132568name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=126575name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=138396name=fixelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=133398name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=133538name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=126909name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=138464name=fixelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=137866name=byelapsed=0.055 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=239418name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=239250name=byelapsed=0.110 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=219224name=byelapsed=0.050 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=219960name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=239674name=applyelapsed=0.101 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=218800name=byelapsed=0.294 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=238421name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=238470name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=242975name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=243223name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=243343name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=219802name=byelapsed=0.196 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=243463name=applyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=265445name=byelapsed=0.048 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=239741name=applyelapsed=0.169 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=265716name=byelapsed=0.013 ### Ignoring duplicate introduction (intro) ### open {} ### Ignoring duplicate introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Ignoring duplicate introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) ### Ignoring duplicate introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### closed {} ### Ignoring duplicate introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Ignoring duplicate introduction (intro) ### closed UNIV command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=243529name=applyelapsed=0.126 ### Ignoring duplicate introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=266015name=byelapsed=0.085 ### Ignoring duplicate introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Ignoring duplicate introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) ### Ignoring duplicate introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Ignoring duplicate introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Ignoring duplicate introduction (intro) ### closed ?S \ open (- ?S) ### Ignoring duplicate introduction (intro) ### open ?S \ closed (- ?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=255169name=defineelapsed=0.026 ### Ignoring duplicate introduction (intro) ### continuous_on ?s (linepath ?a ?b) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=255388name=haveelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=266202name=byelapsed=0.087 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=265904name=byelapsed=0.176 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=266814name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=255535name=haveelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=260291name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=256401name=fixelapsed=0.034 ML_statistics = 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:file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=260359name=haveelapsed=0.079 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=256685name=haveelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=260730name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=256839name=haveelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=260972name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=257856name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=261099name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=261237name=finallyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=261373name=byelapsed=0.207 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=257948name=haveelapsed=0.044 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=261245name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=220126name=applyelapsed=0.731 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=258282name=haveelapsed=0.044 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=251438name=byelapsed=0.056 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=251654name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=267626name=applyelapsed=0.035 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=53273name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=91759name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=91759name=showelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=65825name=byelapsed=0.087 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=79873name=showelapsed=0.074 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=53356name=ultimatelyelapsed=0.068 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=93452name=usingelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=91850name=nextelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=93554name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=53367name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=66868name=byelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=91883name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=94155name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=53619name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=91954name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=94416name=byelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=94581name=byelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=92162name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=90841name=applyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=92209name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=67173name=byelapsed=0.103 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=95377name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=92307name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=90716name=byelapsed=0.072 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=95830name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=95548name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=96158name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=98828name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=96356name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=96028name=ultimatelyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=95628name=ultimatelyelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=85775name=byelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=86190name=byelapsed=0.047 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=96039name=showelapsed=0.068 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=97548name=ultimatelyelapsed=0.067 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=95639name=showelapsed=0.070 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=86274name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=86637name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=97559name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=86803name=applyelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=108898name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=86903name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=124810name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=109030name=byelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=106513name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=106894name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=126745name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=106679name=byelapsed=0.047 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=107159name=byelapsed=0.050 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=126802name=thuselapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=110615name=byelapsed=0.010 ML_statistics = :now=1466031880.12tasks_ready=1961tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=480size_allocation=361758720size_allocation_free=361758720size_heap=4191047680size_heap_free_last_full_GC=0size_heap_free_last_GC=363581576threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1424.384time_GC=33.924user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=126831name=nextelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=130524name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=110843name=byelapsed=0.084 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=126866name=haveelapsed=0.065 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=130659name=showelapsed=0.068 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=127212name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=130782name=nextelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=132049name=haveelapsed=0.032 ### Ignoring duplicate rewrite rule: ### continuous_on {?x1} ?f1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=130902name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=132184name=showelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=132307name=nextelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=130972name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=111644name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=131069name=ultimatelyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=132426name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=111735name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=131080name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=132496name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=131190name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=132593name=ultimatelyelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=131350name=ultimatelyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=132604name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=131361name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=132714name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=132874name=ultimatelyelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=115417name=byelapsed=0.144 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=125010name=byelapsed=0.479 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=115640name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=132885name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=112335name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=112656name=byelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=112335name=haveelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=116886name=byelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=112450name=showelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=112755name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=115785name=byelapsed=0.043 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=117034name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=112891name=haveelapsed=0.035 ML_statistics = :now=1466031880.67tasks_ready=1952tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=482size_allocation=358612992size_allocation_free=358612992size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=359910064threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1426.512time_GC=33.992user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=112968name=haveelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=113231name=ultimatelyelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=115536name=byelapsed=0.278 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=113242name=showelapsed=0.034 ### Legacy feature! Old 'def' command -- use 'define' instead command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=115924name=byelapsed=0.131 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=113658name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=116084name=applyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=117155name=byelapsed=0.173 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=117386name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=116154name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=113767name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=120452name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=117778name=fixelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=117457name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=120823name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=121212name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=113865name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=116527name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=117815name=haveelapsed=0.079 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=136253name=byelapsed=0.066 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=121476name=byelapsed=0.053 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=114309name=ultimatelyelapsed=0.071 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=118685name=haveelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=114320name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=122694name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=122108name=applyelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=122983name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=123146name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=137852name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=119385name=haveelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=138571name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=138759name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=138220name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=138839name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=141636name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=119771name=haveelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=141567name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=138314name=byelapsed=0.024 ### Legacy feature! Old 'def' command -- use 'define' instead ### Legacy feature! Old 'def' command -- use 'define' instead command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=143448name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=120014name=finallyelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=160242name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=143762name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=120022name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=160333name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=160650name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=143942name=obtainelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=160738name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=160382name=ultimatelyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=120143name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=143942name=obtainelapsed=0.032 ML_statistics = :now=1466031881.18tasks_ready=1927tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=483size_allocation=356515840size_allocation_free=356515840size_heap=4191047680size_heap_free_last_full_GC=0size_heap_free_last_GC=357305096threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1427.74time_GC=34.028user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=160393name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=120265name=ultimatelyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=160807name=showelapsed=0.030 ### Legacy feature! Old 'def' command -- use 'define' instead ### Legacy feature! Old 'def' command -- use 'define' instead command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=156776name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=144364name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=120276name=showelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=149617name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=161437name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=144558name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=162227name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=149886name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=161794name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=145783name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=149996name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=162390name=nextelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=161914name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=147430name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=162405name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=150380name=ultimatelyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=161981name=ultimatelyelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=149051name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=162596name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=150391name=obtainelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=161992name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=149157name=ultimatelyelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=162686name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=150391name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=149168name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=163651name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=150776name=haveelapsed=0.087 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=162906name=haveelapsed=0.089 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=155768name=byelapsed=0.081 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=163729name=nextelapsed=0.089 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=157351name=proofelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=163399name=ultimatelyelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=150968name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=157413name=fixelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=163866name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=163410name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=152185name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=157448name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=164024name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=164676name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=153775name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=158172name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=164126name=ultimatelyelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=158301name=proofelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=155353name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=164137name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=158363name=fixelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=155459name=ultimatelyelapsed=0.030 ML_statistics = 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:file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=113793name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=95432name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=95547name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=166599name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=113866name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=113938name=nextelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=95621name=finallyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=166795name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=95629name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=113974name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=113974name=haveelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=167363name=showelapsed=0.067 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=95650name=nextelapsed=0.061 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=114216name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=95683name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=115779name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=114486name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=115779name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=114677name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=115931name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=116148name=nextelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=114790name=finallyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=151560name=byelapsed=0.083 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=116189name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=114798name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=114914name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=152269name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=161483name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=115104name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Extended_Nonnegative_Real.thyoffset=41381name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=115409name=ultimatelyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=174293name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=174035name=byelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=115420name=showelapsed=0.027 ML_statistics = :now=1466031882.21tasks_ready=1913tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=486size_allocation=344981504size_allocation_free=344981504size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=346571792threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=1threads_wait_signal=1time_CPU=1432.332time_GC=34.156user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=115420name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=174496name=byelapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=174652name=byelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=216540name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=175065name=fixelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=216655name=byelapsed=0.028 ### Rule already declared as introduction (intro) ### ?P ?x \ \x. ?P x command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=216832name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=175081name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=217003name=byelapsed=0.016 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:file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=176210name=showelapsed=0.075 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=224202name=byelapsed=0.156 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=221704name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=224589name=byelapsed=0.115 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=221904name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=224784name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=222041name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=225032name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=318543name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=318734name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=222187name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=225322name=finallyelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=318842name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=222236name=finallyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=318941name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=225330name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=222244name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=320187name=applyelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=225429name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=320227name=byelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=320450name=applyelapsed=0.083 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=225597name=finallyelapsed=0.066 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=225605name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=320498name=applyelapsed=0.040 ML_statistics = :now=1466031882.76tasks_ready=1884tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=488size_allocation=342884352size_allocation_free=342884352size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=343618832threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1433.984time_GC=34.224user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=319219name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=319083name=byelapsed=0.121 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=314733name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=2320name=byelapsed=0.065 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=2500name=byelapsed=0.064 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=3457name=byelapsed=0.067 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=3633name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=8648name=byelapsed=0.045 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extended_Real_Limits.thyoffset=3642name=byelapsed=0.093 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=10675name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=11021name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=9270name=byelapsed=0.027 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=11564name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=24145name=applyelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=17295name=haveelapsed=0.031 ML_statistics = :now=1466031883.26tasks_ready=1825tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=490size_allocation=340787200size_allocation_free=340787200size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=341687552threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1435.368time_GC=34.28user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Uniform_Limit.thyoffset=18555name=byelapsed=0.156 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=17392name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=25314name=applyelapsed=0.051 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=17967name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=18219name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=19691name=applyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=59653name=byelapsed=0.055 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=19447name=applyelapsed=0.091 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=18522name=showelapsed=0.065 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=54880name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=18741name=nextelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=54964name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=59783name=byelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=18778name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=55387name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=59877name=byelapsed=0.047 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=18863name=obtainelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=55668name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=18863name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=108041name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=18960name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=108564name=thuselapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=140007name=fixelapsed=0.065 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=108605name=nextelapsed=0.076 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=56084name=applyelapsed=0.166 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=108618name=caseelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=140101name=obtainelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=125600name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=108641name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=125763name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=140101name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=146132name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=108806name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=125907name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=140201name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=141199name=fixelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=144041name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=140590name=nextelapsed=0.029 ML_statistics = :now=1466031883.78tasks_ready=1788tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=492size_allocation=336592896size_allocation_free=336592896size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=338051744threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1437time_GC=34.344user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=141363name=obtainelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=140603name=fixelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=146256name=applyelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=141363name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=140635name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=146439name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=141541name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=146483name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=141818name=ultimatelyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=158813name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=161868name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=146533name=nextelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=141829name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=172980name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=146582name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=173128name=applyelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=142012name=nextelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=142025name=fixelapsed=0.056 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=146626name=showelapsed=0.065 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=177125name=byelapsed=0.070 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=146664name=nextelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=142119name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=146713name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=142119name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=177183name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=146713name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=142219name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=194383name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=146822name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=177392name=applyelapsed=0.047 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=147077name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=197752name=byelapsed=0.050 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=147132name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=177730name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=197978name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=194755name=byelapsed=0.065 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=198497name=byelapsed=0.043 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=194870name=byelapsed=0.065 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=198654name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=198801name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=178562name=fixelapsed=0.027 ML_statistics = :now=1466031884.28tasks_ready=1771tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=494size_allocation=333447168size_allocation_free=333447168size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=334750488threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1439.032time_GC=34.408user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=198946name=byelapsed=0.052 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=178608name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=199274name=byelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=199800name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=178608name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=200117name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=178687name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=178766name=nextelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=200275name=byelapsed=0.055 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=178779name=fixelapsed=0.068 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=178825name=obtainelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=178825name=obtainelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=230709name=byelapsed=0.170 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=178904name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=230896name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=200530name=byelapsed=0.107 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=200635name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=230973name=showelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=231266name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=200734name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=231345name=byelapsed=0.057 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=200849name=byelapsed=0.040 ### Ignoring duplicate rewrite rule: ### ?r1 *\<^sub>R ?x1 \ ?y1 \ ?r1 * (?x1 \ ?y1) ### Ignoring duplicate rewrite rule: ### ?x1 \ ?r1 *\<^sub>R ?y1 \ ?r1 * (?x1 \ ?y1) ### Ignoring duplicate rewrite rule: ### ?r1 *\<^sub>R ?x1 \ ?y1 \ ?r1 * (?x1 \ ?y1) ### Ignoring duplicate rewrite rule: ### ?x1 \ ?r1 *\<^sub>R ?y1 \ ?r1 * (?x1 \ ?y1) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=155864name=byelapsed=3.099 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=234217name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=234539name=applyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=238076name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=238237name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=238381name=applyelapsed=0.012 ### Ignoring duplicate rewrite rule: ### ?r1 *\<^sub>R ?x1 \ ?y1 \ ?r1 * (?x1 \ ?y1) ### Ignoring duplicate rewrite rule: ### ?x1 \ ?r1 *\<^sub>R ?y1 \ ?r1 * (?x1 \ ?y1) ### Ignoring duplicate rewrite rule: ### ?r1 *\<^sub>R ?x1 \ ?y1 \ ?r1 * (?x1 \ ?y1) ### Ignoring duplicate rewrite rule: ### ?x1 \ ?r1 *\<^sub>R ?y1 \ ?r1 * (?x1 \ ?y1) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=249032name=applyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=245251name=applyelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=248859name=applyelapsed=0.057 ### Ignoring duplicate rewrite rule: ### ?r1 *\<^sub>R ?x1 \ ?y1 \ ?r1 * (?x1 \ ?y1) ### Ignoring duplicate rewrite rule: ### ?x1 \ ?r1 *\<^sub>R ?y1 \ ?r1 * (?x1 \ ?y1) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=249306name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=245359name=byelapsed=0.045 ### Ignoring duplicate rewrite rule: ### ?r1 *\<^sub>R ?x1 \ ?y1 \ ?r1 * (?x1 \ ?y1) ### Ignoring duplicate rewrite rule: ### ?x1 \ ?r1 *\<^sub>R ?y1 \ ?r1 * (?x1 \ ?y1) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=249424name=byelapsed=0.027 ML_statistics = :now=1466031884.78tasks_ready=1738tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=496size_allocation=329252864size_allocation_free=329252864size_heap=4193144832size_heap_free_last_full_GC=0size_heap_free_last_GC=330753368threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1440.4time_GC=34.48user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=245911name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=251701name=fixelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=252237name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=249787name=byelapsed=0.054 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=249601name=byelapsed=0.107 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=251749name=haveelapsed=0.064 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=250011name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=250143name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=251799name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=250245name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=252429name=haveelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=252084name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=252665name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=336625name=byelapsed=0.086 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=368350name=byelapsed=0.056 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=383347name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=178983name=qedelapsed=0.564 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=383656name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=383536name=byelapsed=0.182 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=391596name=byelapsed=0.120 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=383001name=byelapsed=0.258 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=400082name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=400042name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=391874name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=392506name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=392205name=byelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=392579name=applyelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=392652name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=402540name=byelapsed=0.067 ML_statistics = :now=1466031885.35tasks_ready=1695tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=499size_allocation=325058560size_allocation_free=325058560size_heap=4193144832size_heap_free_last_full_GC=0size_heap_free_last_GC=326772680threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1442.108time_GC=34.584user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=431514name=applyelapsed=0.045 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=431303name=byelapsed=0.051 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=410880name=byelapsed=0.111 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=8393name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=8558name=byelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=435591name=byelapsed=0.082 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=9454name=byelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=9694name=applyelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=368218name=applyelapsed=0.666 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=9964name=applyelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=9079name=applyelapsed=0.205 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=8892name=applyelapsed=0.234 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=9987name=applyelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=3041name=fixelapsed=0.059 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=10092name=applyelapsed=0.056 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=4298name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=6950name=applyelapsed=0.082 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=3077name=obtainelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=9786name=applyelapsed=0.213 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=7165name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=7291name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=3077name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=15756name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=93986name=byelapsed=0.010 ### Metis: Unused theorems: "Convex_Euclidean_Space.midpoint_eq_endpoint_2" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=9809name=applyelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=3207name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=17603name=nextelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=108767name=byelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=3279name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=17635name=obtainelapsed=0.033 ML_statistics = :now=1466031885.86tasks_ready=1664tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=502size_allocation=322961408size_allocation_free=322961408size_heap=4193144832size_heap_free_last_full_GC=0size_heap_free_last_GC=324505192threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=2threads_wait_signal=1time_CPU=1443.656time_GC=34.672user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=1931name=showelapsed=0.065 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=17635name=obtainelapsed=0.065 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=3727name=showelapsed=0.072 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=2075name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=17784name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=7506name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=3186name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=17894name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=9083name=fixelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=18283name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=3213name=nextelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=9159name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=3252name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=9188name=obtainelapsed=0.063 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=3379name=haveelapsed=0.059 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=7581name=byelapsed=0.101 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Path_Connected.thyoffset=148756name=byelapsed=0.311 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=9188name=obtainelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=3521name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=7821name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=7916name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=8066name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=9424name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=8381name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=8476name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=8141name=byelapsed=0.070 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=16806name=byelapsed=0.078 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=16957name=byelapsed=0.055 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=23378name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=40779name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=23462name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=16681name=byelapsed=0.137 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=23574name=byelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=22006name=byelapsed=0.046 ML_statistics = :now=1466031886.37tasks_ready=1646tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=505size_allocation=317718528size_allocation_free=317718528size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=319054432threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1445.44time_GC=34.76user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=16580name=byelapsed=0.265 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=24105name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=27671name=byelapsed=0.045 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=24334name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=27809name=byelapsed=0.073 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=22089name=byelapsed=0.275 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=24512name=byelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=28031name=byelapsed=0.045 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=22721name=byelapsed=0.122 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=30541name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=30698name=byelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=31000name=..elapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=49926name=byelapsed=0.074 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=22257name=byelapsed=0.514 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=31078name=byelapsed=0.012 ML_statistics = :now=1466031886.88tasks_ready=1621tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=508size_allocation=315621376size_allocation_free=315621376size_heap=4193144832size_heap_free_last_full_GC=0size_heap_free_last_GC=317030664threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1447.1time_GC=34.84user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=23960name=byelapsed=0.559 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=49764name=byelapsed=0.157 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=31182name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=32429name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=50073name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=35658name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=50100name=nextelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=31348name=byelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=32541name=byelapsed=0.055 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=50138name=fixelapsed=0.056 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=35816name=byelapsed=0.060 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=36188name=byelapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=58278name=byelapsed=0.064 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=59635name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=36292name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=50178name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=36459name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=50468name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=60221name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=39772name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=50558name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=39919name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=60385name=showelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=50637name=ultimatelyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=60560name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=50648name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=60746name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=40117name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=40013name=byelapsed=0.089 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=41748name=usingelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=41675name=byelapsed=0.048 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=60878name=finallyelapsed=0.066 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=41859name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=42035name=byelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=60886name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=42237name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=42619name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=42567name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=61036name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=104383name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=104523name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=104899name=applyelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=61212name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=110843name=applyelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=104587name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=61302name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=111224name=applyelapsed=0.014 ML_statistics = :now=1466031887.42tasks_ready=1590tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=511size_allocation=311427072size_allocation_free=311427072size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=312892624threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1449.256time_GC=34.932user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=111249name=applyelapsed=0.044 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=110939name=applyelapsed=0.087 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=61437name=qedelapsed=0.076 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=111734name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=111838name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=111395name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=111468name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=111568name=ultimatelyelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=111579name=showelapsed=0.070 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=21943name=byelapsed=0.198 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=22314name=applyelapsed=0.088 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=46389name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=46568name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=43778name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=30734name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=30932name=byelapsed=0.084 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=60112name=byelapsed=0.912 ML_statistics = :now=1466031887.93tasks_ready=1575tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=514size_allocation=308281344size_allocation_free=308281344size_heap=4193144832size_heap_free_last_full_GC=0size_heap_free_last_GC=309623656threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1450.736time_GC=35.024user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=44493name=applyelapsed=0.051 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=31066name=byelapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=31119name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=31693name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=57408name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=57467name=usingelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=31753name=byelapsed=0.050 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=31949name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=64856name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=32078name=byelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=66888name=fixelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=32392name=byelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=66933name=henceelapsed=0.028 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=67392name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=70453name=nextelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=61448name=fixelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=70498name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=61500name=haveelapsed=0.030 ML_statistics = 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:file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=360746name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=379605name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=338008name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=392684name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=361146name=fixelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=363850name=byelapsed=0.010 ML_statistics = :now=1466031893.23tasks_ready=1399tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=536size_allocation=263192576size_allocation_free=263192576size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=263857264threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1468.716time_GC=35.784user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=363965name=proofelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=380268name=finallyelapsed=0.068 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=361196name=haveelapsed=0.069 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=364032name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=380276name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=380295name=nextelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=364150name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=361296name=guesselapsed=0.059 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=364417name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=380472name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=361306name=byelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=364467name=nextelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=380542name=obtainelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=361356name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=364480name=fixelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=380542name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=361441name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=364530name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=361626name=nextelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=380803name=obtainelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=361639name=fixelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=380803name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=364630name=guesselapsed=0.059 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=361693name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=380988name=obtainelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=364640name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=380988name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=364695name=showelapsed=0.073 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=361796name=guesselapsed=0.096 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=381205name=haveelapsed=0.076 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=361808name=byelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=381341name=showelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=361859name=fixelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=393082name=applyelapsed=0.098 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=361910name=haveelapsed=0.032 ML_statistics = :now=1466031893.73tasks_ready=1411tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=537size_allocation=262144000size_allocation_free=262144000size_heap=4191047680size_heap_free_last_full_GC=0size_heap_free_last_GC=263639808threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1469.972time_GC=35.82user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=362013name=guesselapsed=0.092 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=362025name=byelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=365480name=byelapsed=0.133 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=392334name=applyelapsed=0.165 ### Rule already declared as introduction (intro) ### open {} ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=362118name=haveelapsed=0.033 ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### closed UNIV ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=365720name=showelapsed=0.034 ### Rule already declared as introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Rule already declared as introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Rule already declared as introduction (intro) ### closed ?S \ open (- ?S) ### Rule already declared as introduction (intro) ### open ?S \ closed (- ?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=362312name=showelapsed=0.032 ### Rule already declared as introduction (intro) ### continuous_on ?s (linepath ?a ?b) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=365827name=nextelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=401892name=byelapsed=0.087 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=362392name=nextelapsed=0.031 ### Rule already declared as introduction (intro) ### open {} ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=365855name=haveelapsed=0.073 ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### closed UNIV ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=362405name=haveelapsed=0.064 ### Rule already declared as introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Rule already declared as introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Rule already declared as introduction (intro) ### closed ?S \ open (- ?S) ### Rule already declared as introduction (intro) ### open ?S \ closed (- ?S) ### Rule already declared as introduction (intro) ### continuous_on ?s (linepath ?a ?b) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=365989name=haveelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=362494name=showelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=402063name=byelapsed=0.117 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=402277name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=368507name=haveelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=415050name=byelapsed=0.013 ### Rule already declared as introduction (intro) ### open {} ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=368730name=haveelapsed=0.043 ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### closed UNIV ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=414344name=applyelapsed=0.126 ### Rule already declared as introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Rule already declared as introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Rule already declared as introduction (intro) ### closed ?S \ open (- ?S) ### Rule already declared as introduction (intro) ### open ?S \ closed (- ?S) ### Rule already declared as introduction (intro) ### continuous_on ?s (linepath ?a ?b) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=368865name=haveelapsed=0.075 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=415312name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=370494name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=415414name=showelapsed=0.032 ML_statistics = :now=1466031894.26tasks_ready=1408tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=540size_allocation=257949696size_allocation_free=257949696size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=259445744threads_in_ML=3threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1471.88time_GC=35.912user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=371445name=finallyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=371453name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=371472name=nextelapsed=0.063 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=405568name=byelapsed=0.277 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=405951name=byelapsed=0.120 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=416568name=applyelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=371500name=letelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=418736name=applyelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=371559name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=417461name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=406632name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=371646name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=416760name=applyelapsed=0.078 ### Rule already declared as introduction (intro) ### open {} ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=411801name=byelapsed=0.013 ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### closed UNIV ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=371941name=haveelapsed=0.076 ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Rule already declared as introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Rule already declared as introduction (intro) ### closed ?S \ open (- ?S) ### Rule already declared as introduction (intro) ### open ?S \ closed (- ?S) ### Rule already declared as introduction (intro) ### continuous_on ?s (linepath ?a ?b) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=419491name=applyelapsed=0.094 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=372424name=haveelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=406750name=byelapsed=0.156 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=417723name=haveelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=407076name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=417825name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=373822name=haveelapsed=0.063 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=411950name=haveelapsed=0.048 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=420188name=applyelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=376636name=finallyelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=407287name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=412103name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=376644name=showelapsed=0.067 ML_statistics = :now=1466031894.78tasks_ready=1396tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=543size_allocation=251658240size_allocation_free=251658240size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=252543712threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1473.744time_GC=36.008user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=412232name=haveelapsed=0.068 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=421652name=showelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=421470name=byelapsed=0.089 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=412448name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=421804name=showelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=421954name=qedelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=420885name=applyelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=412525name=finallyelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=450894name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=450705name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=454656name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=412533name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=29653name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Continuous_Function.thyoffset=8319name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=5822name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=30281name=unfoldingelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cartesian_Euclidean_Space.thyoffset=30144name=byelapsed=0.045 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=6816name=applyelapsed=0.228 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=28940name=byelapsed=0.019 ML_statistics = :now=1466031895.33tasks_ready=1374tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=546size_allocation=247463936size_allocation_free=247463936size_heap=4193144832size_heap_free_last_full_GC=0size_heap_free_last_GC=248819824threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1475.232time_GC=36.1user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=29036name=byelapsed=0.345 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=309408name=byelapsed=3.305 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=29523name=byelapsed=0.131 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=29606name=byelapsed=0.026 ML_statistics = :now=1466031895.85tasks_ready=1369tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=550size_allocation=246415360size_allocation_free=246415360size_heap=4193144832size_heap_free_last_full_GC=0size_heap_free_last_GC=247092536threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1476.904time_GC=36.2user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=43410name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=12581name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=12741name=byelapsed=0.051 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=16417name=applyelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=12875name=byelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=16630name=byelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=12952name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=13067name=applyelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=28491name=byelapsed=1.370 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=13274name=byelapsed=0.028 ML_statistics = :now=1466031896.37tasks_ready=1355tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=554size_allocation=244318208size_allocation_free=244318208size_heap=4193144832size_heap_free_last_full_GC=0size_heap_free_last_GC=245098024threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1478.636time_GC=36.304user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=13428name=byelapsed=0.082 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=13582name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=13668name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=13757name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=29330name=byelapsed=1.044 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=52227name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=13896name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=52303name=byelapsed=0.058 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=44131name=byelapsed=0.555 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Fashoda.thyoffset=28836name=byelapsed=1.683 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=52498name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=13979name=haveelapsed=0.091 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=52826name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=13979name=haveelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=52737name=byelapsed=0.043 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=52969name=applyelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=14176name=showelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Analysis_Basics.thyoffset=53042name=applyelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=38080name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=14230name=nextelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=42481name=byelapsed=0.056 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=14267name=haveelapsed=0.068 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=14359name=haveelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=21964name=byelapsed=0.169 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=21538name=byelapsed=0.169 ML_statistics = :now=1466031896.94tasks_ready=1339tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=558size_allocation=240123904size_allocation_free=240123904size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=241086528threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1480.504time_GC=36.416user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=14873name=haveelapsed=0.071 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=62444name=byelapsed=0.165 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=15084name=haveelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=67869name=applyelapsed=0.108 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=68058name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=69003name=applyelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=15431name=ultimatelyelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=69197name=fixelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=15442name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=79921name=byelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=79492name=haveelapsed=0.065 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=62763name=byelapsed=0.230 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=69273name=obtainelapsed=0.069 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=90150name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=87609name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=79628name=showelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=87669name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=90427name=applyelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=69273name=obtainelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=90548name=applyelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=79725name=nextelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=71125name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=79789name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=91015name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=71634name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=91040name=nextelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=71864name=ultimatelyelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=81102name=byelapsed=0.067 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=91077name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=71875name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=81349name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Complex_Transcendental.thyoffset=81508name=byelapsed=0.051 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=91186name=haveelapsed=0.071 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=30535name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=71948name=haveelapsed=0.068 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=30672name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=72039name=ultimatelyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=91269name=obtainelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=95075name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=72050name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=91269name=obtainelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=95311name=byelapsed=0.019 ML_statistics = :now=1466031897.44tasks_ready=1320tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=560size_allocation=238026752size_allocation_free=238026752size_heap=4191047680size_heap_free_last_full_GC=0size_heap_free_last_GC=238502080threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1481.808time_GC=36.48user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=95502name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=72146name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=91512name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=97212name=fixelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=72263name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=91674name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=72378name=showelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=91755name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=97262name=showelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=91026name=byelapsed=0.044 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=87749name=byelapsed=0.456 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=91118name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=91901name=obtainelapsed=0.071 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=91204name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=93009name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=97950name=byelapsed=0.083 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=104851name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=104234name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=91901name=obtainelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=93251name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=104953name=fixelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=93358name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=92075name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=118255name=applyelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=118395name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=119690name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=105015name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=92206name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=118874name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=105099name=haveelapsed=0.069 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=92316name=haveelapsed=0.065 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=92369name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=105171name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=118662name=applyelapsed=0.119 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=119141name=applyelapsed=0.115 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=119352name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=118733name=applyelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=105308name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=119211name=applyelapsed=0.070 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=105385name=haveelapsed=0.072 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=120052name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=119619name=applyelapsed=0.113 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=105446name=henceelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=119689name=applyelapsed=0.030 ML_statistics = :now=1466031898.01tasks_ready=1302tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=564size_allocation=230686720size_allocation_free=230686720size_heap=4193144832size_heap_free_last_full_GC=0size_heap_free_last_GC=231592168threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1484.012time_GC=36.604user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=120473name=byelapsed=0.034 ### Ignoring duplicate rewrite rule: ### ?y gchoose 1 \ ?y command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=105593name=haveelapsed=0.067 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=120852name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=119843name=byelapsed=0.209 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=105636name=finallyelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=121701name=byelapsed=0.043 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=105644name=showelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=120246name=byelapsed=0.182 ### Rule already declared as introduction (intro) ### open {} ### Rule already declared as introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=126202name=byelapsed=0.044 ### Rule already declared as introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### closed {} ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### closed UNIV command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=126512name=byelapsed=0.011 ### Rule already declared as introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Rule already declared as introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Rule already declared as introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=126826name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=126067name=byelapsed=0.083 ### Rule already declared as introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) ### Rule already declared as introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Rule already declared as introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Rule already declared as introduction (intro) ### closed ?S \ open (- ?S) ### Rule already declared as introduction (intro) ### open ?S \ closed (- ?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=126940name=byelapsed=0.011 ### Ignoring duplicate rewrite rule: ### dist (0::?'a1) ?x1 \ norm ?x1 ### Rule already declared as introduction (intro) ### continuous_on ?s (linepath ?a ?b) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=127063name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=125898name=byelapsed=0.131 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=140052name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=138694name=byelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=140982name=showelapsed=0.064 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=140238name=byelapsed=0.058 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=138816name=byelapsed=0.074 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=138939name=byelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=255457name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=121885name=byelapsed=0.318 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=256622name=applyelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=255693name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=256781name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=233810name=applyelapsed=0.061 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=255808name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=256980name=haveelapsed=0.068 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=261130name=byelapsed=0.066 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=260692name=byelapsed=0.104 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=255878name=haveelapsed=0.071 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=257302name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=258174name=usingelapsed=0.048 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=255980name=haveelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=257381name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=258487name=byelapsed=0.070 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=258241name=byelapsed=0.027 ML_statistics = :now=1466031898.56tasks_ready=1263tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=567size_allocation=227540992size_allocation_free=227540992size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=228477272threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1485.396time_GC=36.7user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=256060name=haveelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=257506name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=258884name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=259092name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=258769name=byelapsed=0.045 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=256178name=showelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=257620name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=301815name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=302204name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=259166name=byelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=289864name=byelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=314080name=byelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=289789name=byelapsed=0.056 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=290257name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=314258name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=289925name=byelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=259331name=applyelapsed=0.096 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=315010name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=290898name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=290442name=applyelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=291130name=applyelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=290709name=byelapsed=0.114 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=315179name=applyelapsed=0.086 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=291216name=applyelapsed=0.081 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=291461name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=320866name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=321078name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=290497name=applyelapsed=0.135 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=291534name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=336201name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=336101name=byelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=338401name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=336557name=applyelapsed=0.081 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=342027name=byelapsed=0.052 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=338746name=haveelapsed=0.073 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=342357name=applyelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=327641name=applyelapsed=0.153 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=338983name=haveelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=345097name=byelapsed=0.052 ML_statistics = :now=1466031899.1tasks_ready=1221tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=571size_allocation=221249536size_allocation_free=221249536size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=221909984threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1487.452time_GC=36.82user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=339196name=haveelapsed=0.068 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=15533name=byelapsed=0.100 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=340711name=applyelapsed=0.157 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=15686name=byelapsed=0.056 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=339384name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=345237name=letelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=15851name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=346962name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=345307name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=339568name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=347140name=nextelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=16483name=applyelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=339751name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=345605name=obtainelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=347182name=obtainelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=19042name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=339908name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=345605name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=347182name=obtainelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=345879name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=340343name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=347265name=haveelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=346116name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=340388name=finallyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=348754name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=340396name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=340396name=showelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=16718name=fixelapsed=0.064 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=26490name=byelapsed=0.054 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=16656name=byelapsed=0.165 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=36738name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=16769name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=40481name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=41496name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=36841name=nextelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=40633name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=17215name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=41595name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=36878name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=40712name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=17474name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=40814name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=41744name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=37162name=showelapsed=0.030 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=51299name=byelapsed=0.117 ML_statistics = :now=1466031899.66tasks_ready=1207tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=573size_allocation=216006656size_allocation_free=216006656size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=216969144threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1489.412time_GC=36.888user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=17877name=showelapsed=0.067 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=51839name=byelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=58810name=byelapsed=0.044 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=52267name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=52105name=applyelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=58942name=byelapsed=0.045 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=58657name=byelapsed=0.136 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=59289name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=52532name=byelapsed=0.048 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=59508name=byelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=59346name=byelapsed=0.077 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=74838name=haveelapsed=0.065 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=77493name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=52683name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=76897name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=77611name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=74928name=haveelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=78219name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=75028name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=59228name=byelapsed=0.199 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=78343name=haveelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=77150name=applyelapsed=0.075 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=75152name=haveelapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=53057name=byelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=78497name=haveelapsed=0.074 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=75466name=haveelapsed=0.071 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=78733name=finallyelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=75770name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=78741name=haveelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=75840name=haveelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=76433name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=78896name=showelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=79417name=applyelapsed=0.064 ML_statistics = :now=1466031900.17tasks_ready=1198tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=576size_allocation=214958080size_allocation_free=214958080size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=216395152threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1490.876time_GC=36.98user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=79529name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=53137name=byelapsed=0.102 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=81632name=applyelapsed=0.278 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=53250name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=81872name=applyelapsed=0.074 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=79055name=byelapsed=0.381 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=79964name=applyelapsed=0.065 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=79767name=applyelapsed=0.093 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=53510name=applyelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=81919name=applyelapsed=0.071 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=92185name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=80054name=haveelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=95470name=byelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=92419name=applyelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=95905name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=80266name=showelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=96306name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=95610name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=130574name=usingelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=95700name=byelapsed=0.051 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=96419name=letelapsed=0.076 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=53561name=applyelapsed=0.182 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=130602name=byelapsed=0.065 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=96466name=haveelapsed=0.050 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=127109name=byelapsed=0.056 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=96777name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=132127name=byelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=111767name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=97023name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=131413name=byelapsed=0.060 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=112519name=byelapsed=0.050 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=132937name=byelapsed=0.060 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=97499name=finallyelapsed=0.055 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=113213name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=97507name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=113936name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=118023name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=118882name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=114419name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=118107name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=114072name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=119075name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=119529name=applyelapsed=0.019 ML_statistics = :now=1466031900.7tasks_ready=1153tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=579size_allocation=211812352size_allocation_free=211812352size_heap=4193144832size_heap_free_last_full_GC=0size_heap_free_last_GC=213197016threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1492.152time_GC=37.064user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=119607name=applyelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=118170name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=114156name=ultimatelyelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=119137name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=119890name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=119685name=byelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=118292name=nextelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=114167name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=119941name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=144180name=usingelapsed=0.063 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=118311name=haveelapsed=0.073 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=120247name=byelapsed=0.062 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=118470name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=149686name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=144305name=byelapsed=0.056 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=118551name=nextelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=143919name=byelapsed=0.151 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=149817name=thuselapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=161521name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=118570name=showelapsed=0.033 ### Legacy feature! Old 'def' command -- use 'define' instead command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=144734name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=161698name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=145903name=fixelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=150090name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=144866name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=147545name=fixelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=150199name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=145971name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=147612name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=144962name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=149139name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=146091name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=147691name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=145121name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=150621name=usingelapsed=0.081 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=146214name=haveelapsed=0.090 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=145416name=haveelapsed=0.087 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=148779name=haveelapsed=0.091 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=145602name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=147157name=ultimatelyelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=148936name=ultimatelyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=162074name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=150717name=byelapsed=0.071 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=148947name=showelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=147168name=showelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=163713name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=163920name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=162977name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=151142name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=152305name=fixelapsed=0.027 ML_statistics = :now=1466031901.24tasks_ready=1142tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=581size_allocation=206569472size_allocation_free=206569472size_heap=4191047680size_heap_free_last_full_GC=0size_heap_free_last_GC=207569272threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1493.8time_GC=37.14user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=157574name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=163060name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=151274name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=152373name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=157834name=thuselapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=163170name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=151370name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=152493name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=157867name=nextelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=163304name=ultimatelyelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=151527name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=152616name=haveelapsed=0.045 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=163315name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=157918name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=151818name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=153432name=ultimatelyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=157985name=showelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=152004name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=153443name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=155441name=byelapsed=0.074 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=153890name=fixelapsed=0.086 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=164259name=byelapsed=0.082 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=158526name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=165368name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=153957name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=164103name=byelapsed=0.179 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=158787name=thuselapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=166229name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=154036name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=158820name=nextelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=166314name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=155104name=haveelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=95468name=byelapsed=0.072 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=158871name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=166371name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=166777name=byelapsed=0.051 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=155238name=ultimatelyelapsed=0.067 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=158938name=showelapsed=0.063 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=166543name=ultimatelyelapsed=0.061 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=155249name=showelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=167003name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=167434name=applyelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=166554name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=167061name=haveelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=114432name=byelapsed=0.037 ML_statistics = :now=1466031901.78tasks_ready=1146tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=583size_allocation=197132288size_allocation_free=197132288size_heap=4191047680size_heap_free_last_full_GC=0size_heap_free_last_GC=197625016threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1495.812time_GC=37.22user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=167505name=byelapsed=0.059 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=167276name=showelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=114750name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=116332name=applyelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=114877name=byelapsed=0.044 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=115205name=applyelapsed=0.043 ### Ignoring duplicate rewrite rule: ### of_nat (Suc ?m1) \ (1::?'a1) + of_nat ?m1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=176105name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=115554name=applyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=95704name=byelapsed=0.130 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=221990name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=176260name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=175960name=byelapsed=0.052 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=222255name=byelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=225361name=byelapsed=0.059 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=225117name=byelapsed=0.079 ### Rule already declared as introduction (intro) ### ((\x. x) \ ?a) (at ?a within ?s) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=225616name=byelapsed=0.031 ### Rule already declared as introduction (intro) ### ((\x. ?k) \ ?k) ?F command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=11520name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Topology_Euclidean_Space.thyoffset=224913name=byelapsed=0.108 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=11095name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=17452name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=18384name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=11211name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=18462name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=18939name=byelapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=11300name=haveelapsed=0.063 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=18842name=byelapsed=0.112 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=11395name=finallyelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Bounded_Linear_Function.thyoffset=11403name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=141516name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=19129name=byelapsed=0.078 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=140284name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=146462name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=141784name=applyelapsed=0.062 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=140365name=nextelapsed=0.059 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=141953name=applyelapsed=0.059 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=146605name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=146806name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=140406name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=142429name=haveelapsed=0.027 ML_statistics = :now=1466031902.29tasks_ready=1113tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=587size_allocation=195035136size_allocation_free=195035136size_heap=4193144832size_heap_free_last_full_GC=0size_heap_free_last_GC=195791704threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1497.528time_GC=37.344user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=146889name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=140468name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=142481name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=147010name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=140468name=obtainelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=142679name=nextelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=140538name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=147296name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=142719name=obtainelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=178752name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=178969name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=147499name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=142719name=obtainelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=142856name=showelapsed=0.065 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=147860name=ultimatelyelapsed=0.064 ### Ignoring duplicate rewrite rule: ### ?r1 *\<^sub>R ?x1 \ ?y1 \ ?r1 * (?x1 \ ?y1) ### Ignoring duplicate rewrite rule: ### ?x1 \ ?r1 *\<^sub>R ?y1 \ ?r1 * (?x1 \ ?y1) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=147871name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=251998name=applyelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=147900name=nextelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=252110name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=230996name=byelapsed=0.144 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=252692name=usingelapsed=0.028 ### Ignoring duplicate rewrite rule: ### ?r1 *\<^sub>R ?x1 \ ?y1 \ ?r1 * (?x1 \ ?y1) ### Ignoring duplicate rewrite rule: ### ?x1 \ ?r1 *\<^sub>R ?y1 \ ?r1 * (?x1 \ ?y1) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=147977name=haveelapsed=0.058 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=252621name=byelapsed=0.059 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=252765name=byelapsed=0.043 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=148180name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=15844name=fixelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=148541name=ultimatelyelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=3183name=byelapsed=0.072 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=148552name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=15901name=obtainelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=17768name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=1976name=byelapsed=0.045 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=15901name=obtainelapsed=0.062 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=3819name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=3559name=applyelapsed=0.084 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=16003name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=3633name=applyelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=16127name=obtainelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=18373name=showelapsed=0.031 ML_statistics = :now=1466031902.84tasks_ready=1101tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=590size_allocation=192937984size_allocation_free=192937984size_heap=4193144832size_heap_free_last_full_GC=0size_heap_free_last_GC=193372288threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1499.148time_GC=37.44user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=16127name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=19239name=nextelapsed=0.059 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=16305name=haveelapsed=0.065 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=19254name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=19308name=nextelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=17435name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=3334name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=19323name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=9408name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=18178name=applyelapsed=0.195 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=3431name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=9583name=applyelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=50086name=byelapsed=0.043 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Homeomorphism.thyoffset=3574name=byelapsed=0.052 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=50531name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=50268name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=50382name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=60844name=applyelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=60351name=applyelapsed=0.133 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=50671name=byelapsed=0.117 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=61286name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=18709name=applyelapsed=1.206 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=104643name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=61173name=applyelapsed=0.052 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=61002name=applyelapsed=0.124 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=67375name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=111547name=byelapsed=0.070 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=69347name=byelapsed=0.070 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=61405name=applyelapsed=0.118 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=61534name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=67516name=fixelapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=62125name=applyelapsed=0.024 ML_statistics = :now=1466031903.37tasks_ready=1060tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=594size_allocation=187695104size_allocation_free=187695104size_heap=4193144832size_heap_free_last_full_GC=0size_heap_free_last_GC=188788120threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1500.752time_GC=37.556user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=67580name=haveelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=73876name=byelapsed=0.082 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=62952name=applyelapsed=0.118 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=67777name=haveelapsed=0.074 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=6973name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=74244name=byelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=6812name=applyelapsed=0.112 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=67932name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=46241name=showelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=7147name=applyelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=7260name=letelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=68126name=finallyelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=69063name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=46353name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=7330name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=68134name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=10943name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=69373name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=10862name=byelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=7993name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=69425name=nextelapsed=0.066 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=8788name=ultimatelyelapsed=0.066 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=69463name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=8799name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=8938name=nextelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=69589name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=64673name=byelapsed=0.125 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=112381name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=8953name=letelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=69692name=finallyelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=113134name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=64493name=byelapsed=0.175 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=9023name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=69700name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=125499name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=9712name=haveelapsed=0.067 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=112697name=byelapsed=0.066 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=10526name=ultimatelyelapsed=0.028 ML_statistics = :now=1466031903.89tasks_ready=1050tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=597size_allocation=180355072size_allocation_free=180355072size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=181341824threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1502.472time_GC=37.664user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=113450name=byelapsed=0.044 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=10537name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=113338name=byelapsed=0.126 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=112585name=byelapsed=0.155 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=126219name=byelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=140891name=byelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=117817name=byelapsed=0.053 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=116224name=byelapsed=0.053 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=140336name=byelapsed=0.074 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=142104name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=173356name=byelapsed=0.032 ### Ignoring duplicate rewrite rule: ### ?r1 *\<^sub>R ?x1 \ ?y1 \ ?r1 * (?x1 \ ?y1) ### Ignoring duplicate rewrite rule: ### ?x1 \ ?r1 *\<^sub>R ?y1 \ ?r1 * (?x1 \ ?y1) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=141610name=applyelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=142192name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=175284name=fixelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=175306name=assumeelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=141658name=byelapsed=0.094 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=176333name=fixelapsed=0.086 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=175388name=guesselapsed=0.059 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=176355name=assumeelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=142503name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=175420name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=176544name=haveelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=142876name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=175458name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=176787name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=142928name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=143170name=fixelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=176901name=showelapsed=0.065 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=143232name=haveelapsed=0.058 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=186395name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=143307name=guesselapsed=0.051 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=144014name=applyelapsed=0.118 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=143317name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=143360name=haveelapsed=0.062 ML_statistics = :now=1466031904.45tasks_ready=1022tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=601size_allocation=175112192size_allocation_free=175112192size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=176129000threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1504.148time_GC=37.792user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=143437name=obtainelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=143437name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=143570name=haveelapsed=0.062 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=188721name=applyelapsed=0.265 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=187121name=byelapsed=0.013 ### Ignoring duplicate rewrite rule: ### ?r1 *\<^sub>R ?x1 \ ?y1 \ ?r1 * (?x1 \ ?y1) ### Ignoring duplicate rewrite rule: ### ?x1 \ ?r1 *\<^sub>R ?y1 \ ?r1 * (?x1 \ ?y1) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=143652name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=143761name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=187512name=showelapsed=0.062 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=187564name=nextelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=187599name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=187714name=haveelapsed=0.063 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=220144name=byelapsed=0.269 ### Ignoring duplicate rewrite rule: ### ?r1 *\<^sub>R ?x1 \ ?y1 \ ?r1 * (?x1 \ ?y1) ### Ignoring duplicate rewrite rule: ### ?x1 \ ?r1 *\<^sub>R ?y1 \ ?r1 * (?x1 \ ?y1) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=187880name=ultimatelyelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=220261name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=188365name=applyelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=187901name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=232291name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=232500name=byelapsed=0.055 ML_statistics = :now=1466031905tasks_ready=1019tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=605size_allocation=173015040size_allocation_free=173015040size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=173884856threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1505.824time_GC=37.916user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=145803name=byelapsed=0.115 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=147108name=applyelapsed=0.048 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=233151name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=146311name=byelapsed=0.150 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=233322name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=147605name=applyelapsed=0.141 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=245938name=applyelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=246073name=applyelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=269245name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=245858name=byelapsed=0.195 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=141892name=byelapsed=1.429 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=248081name=byelapsed=0.132 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=248296name=applyelapsed=0.117 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=246326name=applyelapsed=0.211 ML_statistics = :now=1466031905.55tasks_ready=1002tasks_pending=1tasks_running=6tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=610size_allocation=166723584size_allocation_free=166723584size_heap=4193144832size_heap_free_last_full_GC=0size_heap_free_last_GC=167385568threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1507.436time_GC=38.056user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=250441name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=234181name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=296934name=byelapsed=0.109 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=248592name=applyelapsed=0.166 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=250658name=byelapsed=0.068 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=252496name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=252583name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=252736name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=251523name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=252869name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=253126name=fixelapsed=0.062 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=287621name=byelapsed=0.109 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=253249name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=253337name=guesselapsed=0.092 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=287996name=byelapsed=0.108 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=251368name=applyelapsed=0.267 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=253347name=byelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=308052name=applyelapsed=0.043 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=253384name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=301177name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=344638name=applyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=332476name=byelapsed=0.050 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=253454name=haveelapsed=0.062 ML_statistics = :now=1466031906.06tasks_ready=981tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=614size_allocation=163577856size_allocation_free=163577856size_heap=4193144832size_heap_free_last_full_GC=0size_heap_free_last_GC=164390568threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1508.844time_GC=38.168user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=253577name=showelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=344819name=applyelapsed=0.073 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=253691name=nextelapsed=0.059 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=345529name=haveelapsed=0.059 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=345706name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=253706name=haveelapsed=0.043 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=344991name=byelapsed=0.170 ### Introduced fixed type variable(s): 'b, 'c in "fa__" or "s__" command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=345745name=nextelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=253892name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=334116name=byelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=345777name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=334425name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=254457name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=335497name=applyelapsed=0.045 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=262103name=qedelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=334911name=fixelapsed=0.060 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=337992name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=335878name=showelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=360773name=applyelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=334968name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=379703name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=379928name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=338405name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=335060name=guesselapsed=0.059 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=364183name=unfoldingelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=338493name=showelapsed=0.063 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=364378name=applyelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=335070name=byelapsed=0.062 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=338585name=fixelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=335107name=showelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=380749name=byelapsed=0.080 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=338657name=guesselapsed=0.058 ML_statistics = :now=1466031906.59tasks_ready=969tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=618size_allocation=158334976size_allocation_free=158334976size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=159061984threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1510.672time_GC=38.288user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=338667name=byelapsed=0.062 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=145211name=applyelapsed=2.195 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=381514name=showelapsed=0.068 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=338704name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=381841name=showelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=362291name=byelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=339064name=fixelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=381324name=byelapsed=0.135 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=365741name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=382043name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=365973name=byelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=382043name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=339110name=haveelapsed=0.057 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=362478name=byelapsed=0.049 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=382427name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=339184name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=368691name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=362739name=fixelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=366171name=guesselapsed=0.053 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=339363name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=369339name=fixelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=366181name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=362795name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=369365name=assumeelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=415397name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=366350name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=369577name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=370866name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=366580name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=362887name=guesselapsed=0.058 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=371047name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=369680name=guesselapsed=0.051 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=362897name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=366930name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=371086name=nextelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=369698name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=362954name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=367578name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=371131name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=369735name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=368461name=finallyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=415520name=applyelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=369804name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=368469name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=363049name=guesselapsed=0.058 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=415647name=applyelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=371745name=applyelapsed=0.051 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=372228name=applyelapsed=0.049 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=370150name=haveelapsed=0.078 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=372385name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=371845name=applyelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=363057name=..elapsed=0.078 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=370239name=ultimatelyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=417808name=byelapsed=0.025 ML_statistics = :now=1466031907.09tasks_ready=970tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=620size_allocation=156237824size_allocation_free=156237824size_heap=4188950528size_heap_free_last_full_GC=0size_heap_free_last_GC=156696832threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1512.18time_GC=38.36user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=372751name=fixelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=363099name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=370250name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=417914name=applyelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=363253name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=370315name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=418034name=applyelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=372967name=guesselapsed=0.054 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=374162name=fixelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=412326name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=372985name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=13714name=byelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=13614name=byelapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=373030name=haveelapsed=0.063 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=14020name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=374264name=guesselapsed=0.093 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=13799name=byelapsed=0.045 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=14310name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=373090name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=14422name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=374274name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=14952name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=15169name=applyelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=14535name=applyelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=373469name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=374311name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=15318name=applyelapsed=0.052 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=373555name=ultimatelyelapsed=0.061 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=14556name=applyelapsed=0.067 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=374672name=haveelapsed=0.065 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=373566name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=375514name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=79585name=byelapsed=0.057 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=373632name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=376277name=finallyelapsed=0.061 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=69445name=showelapsed=0.060 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=14674name=applyelapsed=0.111 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=79651name=byelapsed=0.050 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=69509name=nextelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=376285name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=71237name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=69550name=obtainelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=71382name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=69550name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=71412name=nextelapsed=0.060 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=69603name=defineelapsed=0.040 ML_statistics = :now=1466031907.63tasks_ready=962tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=624size_allocation=146800640size_allocation_free=146800640size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=147185280threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1513.964time_GC=38.488user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=14773name=byelapsed=0.146 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=91026name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=69786name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=71460name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=79812name=byelapsed=0.141 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=71584name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=70078name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=71908name=byelapsed=0.047 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=97365name=assumeelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=70993name=ultimatelyelapsed=0.064 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=72436name=byelapsed=0.050 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=91427name=byelapsed=0.099 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=97401name=haveelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=92004name=applyelapsed=0.010 ### Ignoring duplicate rewrite rule: ### dist (0::?'a1) ?x1 \ norm ?x1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=71004name=showelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=97516name=haveelapsed=0.068 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=92292name=byelapsed=0.059 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=91804name=byelapsed=0.118 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=97581name=showelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=92446name=byelapsed=0.111 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=105669name=byelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=140995name=byelapsed=0.025 ### Rewrite rule not in simpset: ### numeral ?w1 \ ?b1 / ?c1 \ ### if (0::?'a1) < ?c1 then numeral ?w1 * ?c1 \ ?b1 ### else if ?c1 < (0::?'a1) then ?b1 \ numeral ?w1 * ?c1 ### else numeral ?w1 \ (0::?'a1) ### Rewrite rule not in simpset: ### - numeral ?w1 \ ?b1 / ?c1 \ ### if (0::?'a1) < ?c1 then - numeral ?w1 * ?c1 \ ?b1 ### else if ?c1 < (0::?'a1) then ?b1 \ - numeral ?w1 * ?c1 ### else - numeral ?w1 \ (0::?'a1) ### Rewrite rule not in simpset: ### ?b1 / ?c1 \ numeral ?w1 \ ### if (0::?'a1) < ?c1 then ?b1 \ numeral ?w1 * ?c1 ### else if ?c1 < (0::?'a1) then numeral ?w1 * ?c1 \ ?b1 ### else (0::?'a1) \ numeral ?w1 ### Rewrite rule not in simpset: ### ?b1 / ?c1 \ - numeral ?w1 \ ### if (0::?'a1) < ?c1 then ?b1 \ - numeral ?w1 * ?c1 ### else if ?c1 < (0::?'a1) then - numeral ?w1 * ?c1 \ ?b1 ### else (0::?'a1) \ - numeral ?w1 ### Rewrite rule not in simpset: ### numeral ?w1 < ?b1 / ?c1 \ ### if (0::?'a1) < ?c1 then numeral ?w1 * ?c1 < ?b1 ### else if ?c1 < (0::?'a1) then ?b1 < numeral ?w1 * ?c1 ### else numeral ?w1 < (0::?'a1) ### Rewrite rule not in simpset: ### - numeral ?w1 < ?b1 / ?c1 \ ### if (0::?'a1) < ?c1 then - numeral ?w1 * ?c1 < ?b1 ### else if ?c1 < (0::?'a1) then ?b1 < - numeral ?w1 * ?c1 ### else - numeral ?w1 < (0::?'a1) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=105526name=byelapsed=0.165 ### Rewrite rule not in simpset: ### ?b1 / ?c1 < numeral ?w1 \ ### if (0::?'a1) < ?c1 then ?b1 < numeral ?w1 * ?c1 ### else if ?c1 < (0::?'a1) then numeral ?w1 * ?c1 < ?b1 ### else (0::?'a1) < numeral ?w1 ### Rewrite rule not in simpset: ### ?b1 / ?c1 < - numeral ?w1 \ ### if (0::?'a1) < ?c1 then ?b1 < - numeral ?w1 * ?c1 ### else if ?c1 < (0::?'a1) then - numeral ?w1 * ?c1 < ?b1 ### else (0::?'a1) < - numeral ?w1 ### Rewrite rule not in simpset: ### numeral ?w1 = ?b1 / ?c1 \ ### if ?c1 \ (0::?'a1) then numeral ?w1 * ?c1 = ?b1 ### else numeral ?w1 = (0::?'a1) ### Rewrite rule not in simpset: ### - numeral ?w1 = ?b1 / ?c1 \ ### if ?c1 \ (0::?'a1) then - numeral ?w1 * ?c1 = ?b1 ### else - numeral ?w1 = (0::?'a1) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=257489name=byelapsed=0.011 ### Rewrite rule not in simpset: ### ?b1 / ?c1 = numeral ?w1 \ ### if ?c1 \ (0::?'a1) then ?b1 = numeral ?w1 * ?c1 ### else numeral ?w1 = (0::?'a1) ### Rewrite rule not in simpset: ### ?b1 / ?c1 = - numeral ?w1 \ ### if ?c1 \ (0::?'a1) then ?b1 = - numeral ?w1 * ?c1 ### else - numeral ?w1 = (0::?'a1) ### Rewrite rule not in simpset: ### (1::?'a1) \ ?b1 / ?a1 \ ### (0::?'a1) < ?a1 \ ?a1 \ ?b1 \ ### ?a1 < (0::?'a1) \ ?b1 \ ?a1 ### Rewrite rule not in simpset: ### ?b1 / ?a1 \ (1::?'a1) \ ### (0::?'a1) < ?a1 \ ?b1 \ ?a1 \ ### ?a1 < (0::?'a1) \ ?a1 \ ?b1 \ ?a1 = (0::?'a1) ### Rewrite rule not in simpset: ### (1::?'a1) < ?b1 / ?a1 \ ### (0::?'a1) < ?a1 \ ?a1 < ?b1 \ ?a1 < (0::?'a1) \ ?b1 < ?a1 ### Rewrite rule not in simpset: ### ?b1 / ?a1 < (1::?'a1) \ ### (0::?'a1) < ?a1 \ ?b1 < ?a1 \ ### ?a1 < (0::?'a1) \ ?a1 < ?b1 \ ?a1 = (0::?'a1) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=257594name=byelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=257031name=applyelapsed=0.172 ML_statistics = :now=1466031908.21tasks_ready=931tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=630size_allocation=140509184size_allocation_free=140509184size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=141639544threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1515.584time_GC=38.672user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=256215name=applyelapsed=0.053 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=256284name=applyelapsed=0.217 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=257663name=applyelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=257766name=applyelapsed=0.050 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=257211name=applyelapsed=0.376 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=338894name=byelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=339085name=byelapsed=0.045 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=339287name=byelapsed=0.049 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=345499name=applyelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=347087name=byelapsed=0.083 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=345863name=byelapsed=0.087 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=340263name=applyelapsed=0.066 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=340372name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=105430name=byelapsed=0.902 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=346058name=byelapsed=0.064 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=347489name=haveelapsed=0.038 ML_statistics = :now=1466031908.82tasks_ready=912tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=637size_allocation=132120576size_allocation_free=132120576size_heap=4193144832size_heap_free_last_full_GC=0size_heap_free_last_GC=133235120threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1516.916time_GC=38.876user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=16865name=haveelapsed=0.065 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=347732name=haveelapsed=0.062 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=17107name=showelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=347896name=haveelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=105362name=byelapsed=1.063 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=346293name=applyelapsed=0.149 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=17572name=applyelapsed=0.015 ### Ignoring duplicate rewrite rule: ### ((\x. x) has_derivative (\x. x)) ?F1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=41875name=applyelapsed=0.039 ### Ignoring duplicate rewrite rule: ### ((\x. ?c1) has_derivative (\x. 0::?'b1)) ?F1 \ True ### Ignoring duplicate rewrite rule: ### \(?f1 has_derivative ?f'1) ?F1; ### (?g1 has_derivative ?g'1) ?F1\ ### \ ((\x. ?f1 x + ?g1 x) has_derivative ### (\x. ?f'1 x + ?g'1 x)) ### ?F1 \ ### True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=348188name=haveelapsed=0.071 ### Ignoring duplicate rewrite rule: ### (\i. ### i \ ?I1 \ ### (?f1 i has_derivative ?f'1 i) ?F1) \ ### ((\x. \i\?I1. ?f1 i x) has_derivative ### (\x. \i\?I1. ?f'1 i x)) ### ?F1 \ ### True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=37050name=byelapsed=0.064 ### Ignoring duplicate rewrite rule: ### (?f1 has_derivative ?f'1) ?F1 \ ### ((\x. - ?f1 x) has_derivative (\x. - ?f'1 x)) ?F1 \ ### True ### Ignoring duplicate rewrite rule: ### \(?f1 has_derivative ?f'1) ?F1; ### (?g1 has_derivative ?g'1) ?F1\ ### \ ((\x. ?f1 x - ?g1 x) has_derivative ### (\x. ?f'1 x - ?g'1 x)) ### ?F1 \ ### True ### Ignoring duplicate rewrite rule: ### \(?f1 has_derivative ?f'1) (at ?x1 within ?s1); ### (?g1 has_derivative ?g'1) (at ?x1 within ?s1)\ ### \ ((\x. ?f1 x * ?g1 x) has_derivative ### (\h. ?f1 ?x1 * ?g'1 h + ?f'1 h * ?g1 ?x1)) ### (at ?x1 within ?s1) \ ### True ### Ignoring duplicate rewrite rule: ### \(?f1 has_derivative ?f'1) (at ?x1 within ?s1); ### (?g1 has_derivative ?g'1) (at ?x1 within ?s1)\ ### \ ((\x. ?f1 x *\<^sub>R ?g1 x) has_derivative ### (\h. ### ?f1 ?x1 *\<^sub>R ?g'1 h + ?f'1 h *\<^sub>R ?g1 ?x1)) ### (at ?x1 within ?s1) \ ### True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=42571name=applyelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=348620name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=74869name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=17926name=byelapsed=0.042 ### Ignoring duplicate rewrite rule: ### (\i. ### i \ ?I1 \ ### (?f1 i has_derivative ?f'1 i) (at ?x1 within ?s1)) \ ### ((\x. \i\?I1. ?f1 i x) has_derivative ### (\y. ### \i\?I1. ?f'1 i y * (\j\?I1 - {i}. ?f1 j ?x1))) ### (at ?x1 within ?s1) \ ### True ### Ignoring duplicate rewrite rule: ### (?f1 has_derivative ?f'1) (at ?x1 within ?s1) \ ### ((\x. ?f1 x ^ ?n1) has_derivative ### (\y. of_nat ?n1 * ?f'1 y * ?f1 ?x1 ^ (?n1 - 1))) ### (at ?x1 within ?s1) \ ### True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=78269name=byelapsed=0.010 ### Ignoring duplicate rewrite rule: ### \?f1 ?x1 \ (0::?'a1); ### (?f1 has_derivative ?f'1) (at ?x1 within ?s1)\ ### \ ((\x. inverse (?f1 x)) has_derivative ### (\h. ### - (inverse (?f1 ?x1) * ?f'1 h * inverse (?f1 ?x1)))) ### (at ?x1 within ?s1) \ ### True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=75136name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=78582name=applyelapsed=0.050 ### Ignoring duplicate rewrite rule: ### \(?f1 has_derivative ?f'1) (at ?x1 within ?s1); ### (?g1 has_derivative ?g'1) (at ?x1 within ?s1); ### ?g1 ?x1 \ (0::?'a1)\ ### \ ((\x. ?f1 x / ?g1 x) has_derivative ### (\h. ### - ?f1 ?x1 * ### (inverse (?g1 ?x1) * ?g'1 h * inverse (?g1 ?x1)) + ### ?f'1 h / ?g1 ?x1)) ### (at ?x1 within ?s1) \ ### True ### Ignoring duplicate rewrite rule: ### (\x. x) differentiable ?F1 \ True ### Ignoring duplicate rewrite rule: ### (\z. ?a1) differentiable ?F1 \ True ### Ignoring duplicate rewrite rule: ### \?f1 differentiable ?F1; ?g1 differentiable ?F1\ ### \ (\x. ?f1 x + ?g1 x) differentiable ?F1 \ ### True ### Ignoring duplicate rewrite rule: ### ?f1 differentiable ?F1 \ ### (\x. - ?f1 x) differentiable ?F1 \ True ### Ignoring duplicate rewrite rule: ### \?f1 differentiable ?F1; ?g1 differentiable ?F1\ ### \ (\x. ?f1 x - ?g1 x) differentiable ?F1 \ ### True ### Ignoring duplicate rewrite rule: ### \?f1 differentiable at ?x1 within ?s1; ### ?g1 differentiable at ?x1 within ?s1\ ### \ (\x. ?f1 x * ?g1 x) differentiable at ?x1 ### within ?s1 \ ### True ### Ignoring duplicate rewrite rule: ### \?f1 differentiable at ?x1 within ?s1; ### ?f1 ?x1 \ (0::?'b1)\ ### \ (\x. inverse (?f1 x)) differentiable at ?x1 ### within ?s1 \ ### True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=78623name=byelapsed=0.025 ### Ignoring duplicate rewrite rule: ### \?f1 differentiable at ?x1 within ?s1; ### ?g1 differentiable at ?x1 within ?s1; ?g1 ?x1 \ (0::?'b1)\ ### \ (\x. ?f1 x / ?g1 x) differentiable at ?x1 ### within ?s1 \ ### True ### Ignoring duplicate rewrite rule: ### ?f1 differentiable at ?x1 within ?s1 \ ### (\x. ?f1 x ^ ?n1) differentiable at ?x1 within ?s1 \ True ### Ignoring duplicate rewrite rule: ### \?f1 differentiable at ?x1 within ?s1; ### ?g1 differentiable at ?x1 within ?s1\ ### \ (\x. ?f1 x *\<^sub>R ?g1 x) differentiable at ?x1 ### within ?s1 \ ### True ### Ignoring duplicate rewrite rule: ### ((\x. ?c1) has_vector_derivative (0::?'a1)) ?net1 \ True ### Ignoring duplicate rewrite rule: ### ((\x. x) has_vector_derivative 1) ?net1 \ True ### Ignoring duplicate rewrite rule: ### ((\x. ?k1) has_field_derivative (0::?'a1)) ?F1 \ True ### Ignoring duplicate rewrite rule: ### ((\x. x) has_field_derivative (1::?'a1)) ?F1 \ True ### Ignoring duplicate rewrite rule: ### (?g1 has_derivative ?g'1) ?F1 \ ### ((\x. cnj (?g1 x)) has_derivative (\x. cnj (?g'1 x))) ### ?F1 \ ### True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=75733name=byelapsed=0.051 ### Ignoring duplicate rewrite rule: ### (?f1 has_derivative ?f'1) ?F1 \ ### ((\x. of_real (?f1 x)) has_derivative ### (\x. of_real (?f'1 x))) ### ?F1 \ ### True ### Ignoring duplicate rewrite rule: ### op * ?c1 field_differentiable ?F1 \ True ### Ignoring duplicate rewrite rule: ### (\z. ?c1) field_differentiable ?F1 \ True ### Ignoring duplicate rewrite rule: ### (\z. z) field_differentiable ?F1 \ True ### Ignoring duplicate rewrite rule: ### id field_differentiable ?F1 \ True ### Ignoring duplicate rewrite rule: ### op + ?c1 field_differentiable ?F1 \ True ### Ignoring duplicate rewrite rule: ### (\x. x) C1_differentiable_on ?s1 \ True ### Ignoring duplicate rewrite rule: ### (\z. ?a1) C1_differentiable_on ?s1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=42013name=applyelapsed=0.237 ### Ignoring duplicate rewrite rule: ### \?f1 C1_differentiable_on ?s1; ?g1 C1_differentiable_on ?s1\ ### \ (\x. ?f1 x + ?g1 x) C1_differentiable_on ### ?s1 \ ### True ### Ignoring duplicate rewrite rule: ### ?f1 C1_differentiable_on ?s1 \ ### (\x. - ?f1 x) C1_differentiable_on ?s1 \ True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=75415name=byelapsed=0.141 ### Ignoring duplicate rewrite rule: ### \?f1 C1_differentiable_on ?s1; ?g1 C1_differentiable_on ?s1\ ### \ (\x. ?f1 x - ?g1 x) C1_differentiable_on ### ?s1 \ ### True ### Ignoring duplicate rewrite rule: ### \?f1 C1_differentiable_on ?s1; ?g1 C1_differentiable_on ?s1\ ### \ (\x. ?f1 x * ?g1 x) C1_differentiable_on ### ?s1 \ ### True ### Ignoring duplicate rewrite rule: ### \?f1 C1_differentiable_on ?s1; ?g1 C1_differentiable_on ?s1\ ### \ (\x. ?f1 x *\<^sub>R ?g1 x) C1_differentiable_on ### ?s1 \ ### True command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=37185name=byelapsed=0.288 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=42110name=applyelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=76011name=haveelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=78909name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=76188name=showelapsed=0.057 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=80198name=byelapsed=0.059 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=76604name=applyelapsed=0.091 ML_statistics = :now=1466031909.35tasks_ready=897tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=643size_allocation=127926272size_allocation_free=127926272size_heap=4193144832size_heap_free_last_full_GC=0size_heap_free_last_GC=128611624threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1518.456time_GC=39.028user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=80426name=byelapsed=0.060 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=96956name=byelapsed=0.047 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=42239name=applyelapsed=0.188 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=147669name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=146182name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=146356name=defineelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=145371name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=147837name=showelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=146450name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=147981name=nextelapsed=0.062 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=146522name=haveelapsed=0.063 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=148020name=haveelapsed=0.037 ML_statistics = :now=1466031909.87tasks_ready=868tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=648size_allocation=124780544size_allocation_free=124780544size_heap=4193144832size_heap_free_last_full_GC=0size_heap_free_last_GC=125255176threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1519.86time_GC=39.16user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=146794name=showelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=145546name=byelapsed=0.137 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=154905name=nextelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=18825name=nextelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=154928name=fixelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=18842name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=16447name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=16578name=showelapsed=0.057 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=154985name=showelapsed=0.057 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=18906name=nextelapsed=0.064 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=16641name=nextelapsed=0.026 command_timing = 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:file=~~/src/HOL/Multivariate_Analysis/Brouwer_Fixpoint.thyoffset=50362name=byelapsed=0.074 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=46335name=byelapsed=0.065 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Derivative.thyoffset=67909name=byelapsed=0.073 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=46407name=byelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=17114name=haveelapsed=0.092 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=7440name=fixelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=8138name=fixelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=8902name=applyelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=17352name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=7520name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=8199name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=7568name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=69650name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=69566name=byelapsed=0.056 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=8462name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=9133name=fixelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=7694name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=8654name=finallyelapsed=0.025 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=7826name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=9213name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=9857name=fixelapsed=0.052 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=8662name=showelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=9875name=assumeelapsed=0.041 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=8662name=showelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=9275name=haveelapsed=0.063 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=7922name=showelapsed=0.063 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=9917name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=142609name=fixelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=9415name=haveelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=176878name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=10175name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=142732name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=9545name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=10175name=haveelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=143629name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=143547name=byelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=9641name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=187984name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=10392name=finallyelapsed=0.051 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=187842name=applyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=253299name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=187865name=doneelapsed=0.053 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=253662name=unfoldingelapsed=0.043 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=345663name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=10400name=showelapsed=0.072 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=254150name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=346005name=applyelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=301272name=byelapsed=0.107 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=254763name=letelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=254181name=nextelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=380220name=applyelapsed=0.012 ML_statistics = :now=1466031911.45tasks_ready=796tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=660size_allocation=108003328size_allocation_free=108003328size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=109039304threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1524.484time_GC=39.524user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=336151name=showelapsed=0.064 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=338567name=byelapsed=0.037 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=254831name=haveelapsed=0.064 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=254226name=obtainelapsed=0.063 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=335380name=applyelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=336562name=fixelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=255755name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=254226name=obtainelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=381803name=applyelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=336612name=showelapsed=0.038 ### Ignoring duplicate rewrite rule: ### content (cbox ?a1 ?b1) = 0 \ ### integral (cbox ?a1 ?b1) ?f1 \ 0::?'b1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=256679name=showelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=254288name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=382629name=applyelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=339325name=applyelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=257968name=showelapsed=0.065 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=254359name=showelapsed=0.065 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=371004name=applyelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=369622name=byelapsed=0.068 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=259298name=letelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=382734name=applyelapsed=0.095 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=367870name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=367281name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=369781name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=259391name=showelapsed=0.038 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=259391name=showelapsed=0.040 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=368115name=haveelapsed=0.064 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=260704name=showelapsed=0.035 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=367392name=guesselapsed=0.091 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=367400name=..elapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=370103name=applyelapsed=0.128 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=368250name=guesselapsed=0.062 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=262044name=qedelapsed=0.051 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=370461name=byelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=363407name=applyelapsed=0.043 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=367432name=haveelapsed=0.062 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=368268name=byelapsed=0.063 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=373067name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=374629name=applyelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=367508name=showelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=368307name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=69470name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=376588name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=374989name=guesselapsed=0.053 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=375919name=guesselapsed=0.062 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=375007name=byelapsed=0.031 ML_statistics = :now=1466031912tasks_ready=772tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=664size_allocation=104857600size_allocation_free=104857600size_heap=4191047680size_heap_free_last_full_GC=0size_heap_free_last_GC=105851512threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1526.108time_GC=39.652user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=71395name=byelapsed=0.093 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=375046name=haveelapsed=0.071 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=375929name=byelapsed=0.071 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=71524name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=375968name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=375231name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=70260name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=70009name=applyelapsed=0.137 ### Ignoring duplicate rewrite rule: ### dist (0::?'a1) ?x1 \ norm ?x1 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=376136name=showelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=375311name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=375311name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=376136name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=70531name=showelapsed=0.059 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=97594name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=375399name=finallyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=97431name=byelapsed=0.075 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=70708name=nextelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=347666name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=375407name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=70764name=haveelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=70764name=haveelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=17132name=byelapsed=0.067 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=70862name=haveelapsed=0.033 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=17047name=byelapsed=0.104 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=348645name=byelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=70940name=finallyelapsed=0.059 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=70948name=showelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=97365name=byelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=147928name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=76255name=applyelapsed=0.113 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=146676name=byelapsed=0.040 ML_statistics = :now=1466031912.61tasks_ready=760tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=671size_allocation=97517568size_allocation_free=97517568size_heap=4193144832size_heap_free_last_full_GC=0size_heap_free_last_GC=97731968threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1527.78time_GC=39.836user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=148139name=byelapsed=0.312 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=76360name=applyelapsed=0.427 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=148278name=byelapsed=0.039 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=153065name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=347872name=byelapsed=0.823 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=148728name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=153338name=byelapsed=0.067 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=146924name=applyelapsed=0.227 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=154273name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=143011name=unfoldingelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=147092name=byelapsed=0.046 ### Ignoring duplicate introduction (intro) ### open {} ### Ignoring duplicate introduction (intro) ### \open ?S; open ?T\ \ open (?S \ ?T) ### Ignoring duplicate introduction (intro) ### \x\?A. open (?B x) \ ### open (\x\?A. ?B x) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=143230name=applyelapsed=0.065 ### Ignoring duplicate introduction (intro) ### \finite ?S; \T\?S. open T\ ### \ open (\?S) ### Ignoring duplicate introduction (intro) ### \finite ?A; \x\?A. open (?B x)\ ### \ open (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### closed {} ### Ignoring duplicate introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Ignoring duplicate introduction (intro) ### closed UNIV command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=143534name=byelapsed=0.012 ### Ignoring duplicate introduction (intro) ### \closed ?S; closed ?T\ ### \ closed (?S \ ?T) ### Ignoring duplicate introduction (intro) ### \x\?A. closed (?B x) \ ### closed (\x\?A. ?B x) ### Ignoring duplicate introduction (intro) ### \S\?K. closed S \ closed (\?K) ### Ignoring duplicate introduction (intro) ### \finite ?S; \T\?S. closed T\ ### \ closed (\?S) ### Ignoring duplicate introduction (intro) ### \finite ?A; \x\?A. closed (?B x)\ ### \ closed (\x\?A. ?B x) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=143589name=byelapsed=0.036 ### Ignoring duplicate introduction (intro) ### \open ?S; closed ?T\ \ open (?S - ?T) ### Ignoring duplicate introduction (intro) ### \closed ?S; open ?T\ \ closed (?S - ?T) ### Ignoring duplicate introduction (intro) ### closed ?S \ open (- ?S) ### Ignoring duplicate introduction (intro) ### open ?S \ closed (- ?S) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Convex_Euclidean_Space.thyoffset=143870name=applyelapsed=0.023 ML_statistics = :now=1466031913.26tasks_ready=737tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=680size_allocation=92274688size_allocation_free=92274688size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=92553728threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1529.296time_GC=40.084user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=18642name=byelapsed=0.185 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=155053name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=16489name=byelapsed=0.060 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=16779name=haveelapsed=0.057 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=19107name=byelapsed=0.078 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=16861name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=17309name=byelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Conformal_Mappings.thyoffset=154464name=byelapsed=0.360 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=7610name=usingelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=8274name=applyelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Cauchy_Integral_Thm.thyoffset=348520name=applyelapsed=1.152 ### Ignoring duplicate rewrite rule: ### ?r1 *\<^sub>R ?x1 \ ?y1 \ ?r1 * (?x1 \ ?y1) ### Ignoring duplicate rewrite rule: ### ?x1 \ ?r1 *\<^sub>R ?y1 \ ?r1 * (?x1 \ ?y1) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=8578name=applyelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=7669name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=17017name=showelapsed=0.059 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=7874name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=8733name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=7749name=byelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=142787name=usingelapsed=0.033 ### Ignoring duplicate rewrite rule: ### ?r1 *\<^sub>R ?x1 \ ?y1 \ ?r1 * (?x1 \ ?y1) ### Ignoring duplicate rewrite rule: ### ?x1 \ ?r1 *\<^sub>R ?y1 \ ?r1 * (?x1 \ ?y1) ### Ignoring duplicate rewrite rule: ### ?r1 *\<^sub>R ?x1 \ ?y1 \ ?r1 * (?x1 \ ?y1) ### Ignoring duplicate rewrite rule: ### ?x1 \ ?r1 *\<^sub>R ?y1 \ ?r1 * (?x1 \ ?y1) command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=9390name=byelapsed=0.053 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=10326name=applyelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=9593name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=10471name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=336520name=applyelapsed=0.013 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=142819name=byelapsed=0.082 Assumptions: e + b \ k * 2 - y \ k * 2 < 0 [e + b \ k * 2 - y \ k * 2 < 0] - (e + b \ k * 2 - y \ k * 2) < e [- (e + b \ k * 2 - y \ k * 2) < e] \ b \ k < y \ k [\ b \ k < y \ k] \ False [\ False] Proved: 2 * (b \ k) + (- (2 * (y \ k)) + - (b \ k * 2 - y \ k * 2)) < 0 [\ b \ k < y \ k, - (e + b \ k * 2 - y \ k * 2) < e, e + b \ k * 2 - y \ k * 2 < 0] ### Linear arithmetic should have refuted the assumptions. ### Please inform Tobias Nipkow. command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=336753name=applyelapsed=0.022 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=9470name=byelapsed=0.153 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=254923name=guesselapsed=0.102 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=255847name=guesselapsed=0.062 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=256897name=fixelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=258246name=fixelapsed=0.026 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=254953name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=255877name=byelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=258271name=assumeelapsed=0.034 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=254994name=haveelapsed=0.056 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=255918name=haveelapsed=0.056 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=257006name=guesselapsed=0.087 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=255081name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=256005name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=258355name=guesselapsed=0.052 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=257032name=..elapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=256493name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=255569name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=258381name=..elapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=367337name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=257078name=guesselapsed=0.059 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=258427name=guesselapsed=0.054 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=259737name=guesselapsed=0.059 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=261050name=guesselapsed=0.056 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=258454name=..elapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=257105name=..elapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=259767name=..elapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=258501name=letelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=257138name=letelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=261080name=..elapsed=0.030 ML_statistics = :now=1466031913.88tasks_ready=707tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=685size_allocation=85983232size_allocation_free=85983232size_heap=4193144832size_heap_free_last_full_GC=0size_heap_free_last_GC=86863424threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1530.384time_GC=40.224user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=259813name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=261126name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=257172name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=258535name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=259887name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=261201name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=258704name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=257343name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=261308name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=257509name=ultimatelyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=259994name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=258837name=ultimatelyelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=258848name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=260379name=ultimatelyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=261695name=ultimatelyelapsed=0.028 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=257520name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=258976name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=261706name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=257645name=haveelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=260390name=showelapsed=0.029 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=368429name=byelapsed=0.056 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=367483name=byelapsed=0.072 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=257844name=showelapsed=0.076 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=259175name=showelapsed=0.076 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=70452name=applyelapsed=0.017 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=259242name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=257911name=showelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=17046name=usingelapsed=0.036 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=70961name=byelapsed=0.045 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Extension.thyoffset=16957name=byelapsed=0.043 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=256619name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=255695name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=255147name=haveelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=256071name=haveelapsed=0.030 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=257228name=byelapsed=0.044 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=256171name=haveelapsed=0.060 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=255247name=haveelapsed=0.060 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=258591name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=259963name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=261277name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=255394name=ultimatelyelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=256318name=ultimatelyelapsed=0.031 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=258799name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=255405name=haveelapsed=0.057 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=256329name=haveelapsed=0.057 ML_statistics = :now=1466031914.38tasks_ready=702tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=689size_allocation=78643200size_allocation_free=78643200size_heap=4193144832size_heap_free_last_full_GC=0size_heap_free_last_GC=78990000threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1532.608time_GC=40.352user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=255447name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=256371name=showelapsed=0.027 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=257467name=byelapsed=0.072 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Polytope.thyoffset=70626name=byelapsed=0.334 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=261612name=applyelapsed=0.042 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=260296name=applyelapsed=0.046 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=258949name=byelapsed=0.074 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=257776name=applyelapsed=0.032 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=260644name=applyelapsed=0.064 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=257618name=byelapsed=0.087 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=255223name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=256147name=byelapsed=0.020 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=261986name=applyelapsed=0.124 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=255326name=byelapsed=0.049 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=256250name=byelapsed=0.051 command_timing = :file=~~/src/HOL/Multivariate_Analysis/Integration.thyoffset=255418name=byelapsed=0.046 ML_statistics = :now=1466031915tasks_ready=157tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=699size_allocation=67108864size_allocation_free=67108864size_heap=4193144832size_heap_free_last_full_GC=0size_heap_free_last_GC=67444352threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1533.892time_GC=40.648user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1466031915.59tasks_ready=2tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=709size_allocation=56623104size_allocation_free=56623104size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=56925088threads_in_ML=3threads_total=11threads_wait_condvar=4threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1534.856time_GC=40.956user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 "- \" :: "ereal" command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=125614name=valueelapsed=0.673 "True" :: "bool" command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=125694name=valueelapsed=0.718 "True" :: "bool" command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=125714name=valueelapsed=0.348 ML_statistics = :now=1466031916.1tasks_ready=0tasks_pending=0tasks_running=3tasks_passive=0tasks_urgent=0workers_total=8workers_active=3workers_waiting=0full_GCs=0partial_GCs=719size_allocation=40894464size_allocation_free=40894464size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=41427512threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1535.572time_GC=41.264user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 "\" :: "ereal" command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=125635name=valueelapsed=1.372 find_theorems name: "deriv" "\" found nothing command_timing = :file=~~/src/HOL/Multivariate_Analysis/Gamma.thyoffset=106591name=find_theoremselapsed=0.887 ML_statistics = :now=1466031916.81tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=0tasks_urgent=0workers_total=8workers_active=1workers_waiting=0full_GCs=0partial_GCs=736size_allocation=17825792size_allocation_free=17825792size_heap=4192096256size_heap_free_last_full_GC=0size_heap_free_last_GC=19504984threads_in_ML=1threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1536.276time_GC=41.768user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1466031917.46tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=0tasks_urgent=0workers_total=8workers_active=1workers_waiting=0full_GCs=0partial_GCs=756size_allocation=6291456size_allocation_free=6291456size_heap=4193144832size_heap_free_last_full_GC=0size_heap_free_last_GC=7782848threads_in_ML=1threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1536.512time_GC=42.288user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1466031918.02tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=0tasks_urgent=0workers_total=8workers_active=1workers_waiting=0full_GCs=0partial_GCs=776size_allocation=3145728size_allocation_free=3145728size_heap=4193144832size_heap_free_last_full_GC=0size_heap_free_last_GC=4565952threads_in_ML=2threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1536.644time_GC=42.772user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 "ereal (13 / 4)" :: "ereal" command_timing = :file=~~/src/HOL/Library/Extended_Real.thyoffset=125657name=valueelapsed=16.152 ML_statistics = :now=1466031931.28tasks_ready=0tasks_pending=0tasks_running=0tasks_passive=0tasks_urgent=0workers_total=8workers_active=0workers_waiting=0full_GCs=1partial_GCs=781size_allocation=391118848size_allocation_free=391118848size_heap=3179171840size_heap_free_last_full_GC=1735968size_heap_free_last_GC=1735968threads_in_ML=1threads_total=11threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1536.664time_GC=55.664user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1466031931.8tasks_ready=0tasks_pending=0tasks_running=0tasks_passive=0tasks_urgent=0workers_total=8workers_active=0workers_waiting=0full_GCs=1partial_GCs=782size_allocation=456130560size_allocation_free=136364128size_heap=3244183552size_heap_free_last_full_GC=1735968size_heap_free_last_GC=457073720threads_in_ML=1threads_total=11threads_wait_condvar=8threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=1537.804time_GC=55.684user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = 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$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 x$\OML/cmm/m/it/10 ;$ *** \OT1/cmr/m/it/10 x$ [] $$\OT1/cmr/m/n/10 )$$:$\OT1/cmr/m/it/10 r$\OML/cmm/m/it/ *** 10 :$ $\OMS/cmsy/m/n/10 f$$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 In0$\OT1/cmr/m/n/ *** 10 ($\OT1/cmr/m/it/10 x$\OT1/cmr/m/n/10 )$$\OML/cmm/m/it/10 ;$\OT1/cmr/m/it/10 *** In0$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 x$ [] $$\OT1/cmr/m/n/10 )$$)$$\OMS/cmsy/ *** m/n/10 g$$\OT1/cmr/m/n/10 )$ \OT1/cmr/m/it/10 Un $\OT1/cmr/m/n/10 ($\OT1/cmr/m/ *** it/10 UN $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 y$\OML/cmm/m/it/10 ;$\OT1/cmr/m/it *** /10 y$ [] $$\OT1/cmr/m/n/10 )$$:$\OT1/cmr/m/it/10 s$\OML/cmm/m/it/10 :$ $\OMS/c *** msy/m/n/10 f$$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 In1$\OT1/cmr/m/n/10 ($\OT1/cmr *** /m/it/10 y$\OT1/cmr/m/n/10 )$$\OML/cmm/m/it/10 ;$\OT1/cmr/m/it/10 In1$\OT1/cmr/ *** m/n/10 ($\OT1/cmr/m/it/10 y$ [] $$\OT1/cmr/m/n/10 )$$)$$\OMS/cmsy/m/n/10 g$$\OT *** 1/cmr/m/n/10 )$[] *** [12] [13] [14] [15] [16] [17] [18] [19]) (./Nat_Bijection.tex *** *** Package 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range[]from[]nat[]into$\OT1/cmr/m/n *** /10 [$\OT1/cmr/m/it/10 simp$\OT1/cmr/m/n/10 ]$$:$ \OT1/cmr/m/it/10 A $\OMS/cmsy *** /m/n/10 6\OT1/cmr/m/n/10 =$ $\OMS/cmsy/m/n/10 f$$g$ $\OT1/cmr/m/n/10 =[]\OMS/cm *** sy/m/n/10 )$ \OT1/cmr/m/it/10 count-able A $\OT1/cmr/m/n/10 =[]\OMS/cmsy/m/n/10 *** )$ \OT1/cmr/m/it/10 range $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 from[]nat[]into *** *** Overfull \hbox (31.2941pt too wide) in paragraph at lines 606--608 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 to[]nat[]on[]from[]nat[]into$\OT1/c *** mr/m/n/10 [$\OT1/cmr/m/it/10 simp$\OT1/cmr/m/n/10 ]$$:$ \OT1/cmr/m/it/10 n $\OM *** S/cmsy/m/n/10 2$ \OT1/cmr/m/it/10 to[]nat[]on A ` A $\OT1/cmr/m/n/10 =[]\OMS/cm *** sy/m/n/10 )$ \OT1/cmr/m/it/10 to[]nat[]on A $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 *** from[]nat[]into *** [36] [37] [38] *** Overfull \hbox (0.23308pt too wide) in paragraph at lines 1248--1250 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 countable[]Collect[]finite$\OT1/cmr *** /m/n/10 :$ \OT1/cmr/m/it/10 count-able $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 Coll *** ect $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 finite$\OT1/cmr/m/n/10 :$$:$$ [] $\OT1/ *** cmr/m/it/10 a$\OT1/cmr/m/n/10 :$$:$\OT1/cmr/m/it/10 countable set$\OMS/cmsy/m/n *** /10 )$\OT1/cmr/m/it/10 bool$\OT1/cmr/m/n/10 )$$)$[] *** [39]) (./FuncSet.tex [40] *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 59. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 59. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 59. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 59. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing 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[51] [52] *** Overfull \hbox (73.7422pt too wide) in paragraph at lines 707--709 *** [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 bounded[]linear[]inner[]left[]comp *** $\OT1/cmr/m/n/10 =$ \OT1/cmr/m/it/10 bounded[]linear[]inner[]left$\OT1/cmr/m/n *** /10 [$\OT1/cmr/m/it/10 THEN bounded[]linear[]compose$\OT1/cmr/m/n/10 ]$[] *** *** Overfull \hbox (87.28654pt too wide) in paragraph at lines 710--712 *** [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 bounded[]linear[]inner[]right[]com *** p $\OT1/cmr/m/n/10 =$ \OT1/cmr/m/it/10 bounded[]linear[]inner[]right$\OT1/cmr/m *** /n/10 [$\OT1/cmr/m/it/10 THEN bounded[]linear[]compose$\OT1/cmr/m/n/10 ]$[] *** [53] [54] [55]) (./Product_plus.tex [56] [57] *** Overfull \hbox (8.61708pt too wide) in paragraph at lines 417--419 *** [][]\OT1/cmr/bx/n/10 instance \OT1/cmr/m/it/10 prod $\OT1/cmr/m/n/10 :$$:$ $($\ *** OT1/cmr/m/it/10 cancel[]semigroup[]add$\OML/cmm/m/it/10 ;$ \OT1/cmr/m/it/10 can *** cel[]semigroup[]add$\OT1/cmr/m/n/10 )$ \OT1/cmr/m/it/10 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/m/it/10 a$\OT1/cmr/m/n/10 :$$:$\OT1/cmr/m/it/10 real[]normed[]vector$\OMS/cmsy *** /m/n/10 ^^C$$ [] $\OT1/cmr/m/it/10 b$\OT1/cmr/m/n/10 :$$:$\OT1/cmr/m/it/10 real *** []normed[]vector$\OT1/cmr/m/n/10 )$ $\OMS/cmsy/m/n/10 )$ \OT1/cmr/m/it/10 real$ *** \OT1/cmr/m/n/10 ]$$]$[] *** *** Overfull \hbox (14.1982pt too wide) in paragraph at lines 750--752 *** [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 bounded[]linear[]fst[]comp $\OT1/c *** mr/m/n/10 =$ \OT1/cmr/m/it/10 bounded[]linear[]fst$\OT1/cmr/m/n/10 [$\OT1/cmr/m *** /it/10 THEN bounded[]linear[]compose$\OT1/cmr/m/n/10 ]$[] *** *** Overfull \hbox (22.9718pt too wide) in paragraph at lines 753--755 *** [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 bounded[]linear[]snd[]comp $\OT1/c *** mr/m/n/10 =$ \OT1/cmr/m/it/10 bounded[]linear[]snd$\OT1/cmr/m/n/10 [$\OT1/cmr/m *** /it/10 THEN bounded[]linear[]compose$\OT1/cmr/m/n/10 ]$[] *** [60] [61]) (./Euclidean_Space.tex [62] [63] *** *** Package hyperref Warning: Token not allowed in a PDF 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Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `math shift' on input line 646. *** *** ) (./Linear_Algebra.tex [65] [66] [67] [68] [69] [70] [71] [72] [73] [74] *** [75] [76] *** *** LaTeX Font Warning: Font shape `U/stmry/b/n' undefined *** (Font) using `U/stmry/m/n' instead on input line 4243. *** *** [77] *** Overfull \hbox (1.07124pt too wide) in paragraph at lines 4539--4540 *** []\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 inner[]simps $\OT1/cmr/m/n/10 =$ \OT *** 1/cmr/m/it/10 inner[]add[]left inner[]add[]right inner[]diff[]right inner[]diff *** []left[] *** [78] [79] [80] [81] [82] [83] [84] *** Overfull \hbox (2.1441pt too wide) in paragraph at lines 6650--6651 *** [][] \OT1/cmr/bx/n/10 shows \OT1/cmr/m/it/10 independent[]imp[]finite$\OT1/cmr *** /m/n/10 :$ \OT1/cmr/m/it/10 fi-nite S \OT1/cmr/bx/n/10 and \OT1/cmr/m/it/10 ind *** ependent[]card[]le$\OT1/cmr/m/n/10 :$\OT1/cmr/m/it/10 card S $\OMS/cmsy/m/n/10 *** ^^T$ \OT1/cmr/m/it/10 DIM$\OT1/cmr/m/n/10 ($$ [] $\OT1/cmr/m/it/10 a$\OT1/cmr/m *** /n/10 )$[] *** [85] [86] [87] [88] [89] [90] [91] [92]) (./Sum_of_Squares.tex [93]) *** (./Norm_Arith.tex [94] [95]) (./Topology_Euclidean_Space.tex [96] [97] [98] *** [99] [100] *** Overfull \hbox (29.78625pt too wide) in paragraph at lines 1202--1204 *** [][]\OT1/cmr/bx/n/10 instance \OT1/cmr/m/it/10 prod $\OT1/cmr/m/n/10 :$$:$ $($\ *** OT1/cmr/m/it/10 first[]countable[]topology$\OML/cmm/m/it/10 ;$ \OT1/cmr/m/it/10 *** first[]countable[]topology$\OT1/cmr/m/n/10 )$ \OT1/cmr/m/it/10 first[]countabl *** e[]topology[] *** [101] *** Overfull \hbox (62.36932pt too wide) in paragraph at lines 1431--1433 *** [][]\OT1/cmr/bx/n/10 instance \OT1/cmr/m/it/10 prod $\OT1/cmr/m/n/10 :$$:$ $($\ *** OT1/cmr/m/it/10 second[]countable[]topology$\OML/cmm/m/it/10 ;$ \OT1/cmr/m/it/1 *** 0 second[]countable[]topology$\OT1/cmr/m/n/10 )$ \OT1/cmr/m/it/10 second[]count *** able[]topology[] *** [102] [103] *** Overfull \hbox (0.58205pt too wide) in paragraph at lines 2016--2018 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 openin[]closedin$\OT1/cmr/m/n/10 :$ *** \OT1/cmr/m/it/10 S $\OMS/cmsy/m/n/10 ^^R$ \OT1/cmr/m/it/10 topspace U $\OT1/cm *** r/m/n/10 =[]\OMS/cmsy/m/n/10 )$ $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 openin U S *** $\OMS/cmsy/m/n/10 []!$ \OT1/cmr/m/it/10 closedin U $\OT1/cmr/m/n/10 ($\OT1/cmr *** /m/it/10 topspace *** [104] [105] [106] [107] [108] [109] [110] [111] [112] [113] [114] [115] *** [116] [117] [118] [119] [120] *** Overfull \hbox (20.39934pt too wide) in paragraph at lines 7189--7191 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 connected[]component[]sym$\OT1/cmr/ *** m/n/10 :$ \OT1/cmr/m/it/10 connected[]component s x y $\OT1/cmr/m/n/10 =[]\OMS/ *** cmsy/m/n/10 )$ \OT1/cmr/m/it/10 connected[]component *** *** Overfull \hbox (3.08388pt too wide) in paragraph at lines 7209--7210 *** [][] $[]$\OT1/cmr/m/it/10 connected[]component s x y$\OT1/cmr/m/n/10 ;$ \OT1 *** /cmr/m/it/10 connected[]component s y z$[]$ $\OT1/cmr/m/n/10 =[]\OMS/cmsy/m/n/1 *** 0 )$ \OT1/cmr/m/it/10 connected[]component *** [121] *** Overfull \hbox (78.03043pt too wide) in paragraph at lines 7282--7284 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 connected[]iff[]eq[]connected[]comp *** onent[]set$\OT1/cmr/m/n/10 :$ \OT1/cmr/m/it/10 con-nected s $\OMS/cmsy/m/n/10 *** []!$ $\OT1/cmr/m/n/10 ($$\OMS/cmsy/m/n/10 8 $\OT1/cmr/m/it/10 x $\OMS/cmsy/m/n/ *** 10 2$ \OT1/cmr/m/it/10 s$\OML/cmm/m/it/10 :$ \OT1/cmr/m/it/10 connected[]compon *** ent[]set *** *** Overfull \hbox (17.93521pt too wide) in paragraph at lines 7356--7358 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 connected[]component[]eq[]self$\OT1 *** /cmr/m/n/10 :$ $[]$\OT1/cmr/m/it/10 connected s$\OT1/cmr/m/n/10 ;$ \OT1/cmr/m/i *** t/10 x $\OMS/cmsy/m/n/10 2$ \OT1/cmr/m/it/10 s$[]$ $\OT1/cmr/m/n/10 =[]\OMS/cms *** y/m/n/10 )$ \OT1/cmr/m/it/10 connected[]component[]set *** [122] *** Overfull \hbox (35.00568pt too wide) in paragraph at lines 7620--7622 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 connected[]component[]sym[]eq$\OT1/ *** cmr/m/n/10 :$ \OT1/cmr/m/it/10 connected[]component s x y $\OMS/cmsy/m/n/10 [] *** !$ \OT1/cmr/m/it/10 connected[]component *** *** Overfull \hbox (19.06541pt too wide) in paragraph at lines 7694--7695 *** [][] \OT1/cmr/m/it/10 connected[]component[]set $\OT1/cmr/m/n/10 ($\OT1/cmr/ *** m/it/10 connected[]component[]set s x$\OT1/cmr/m/n/10 )$ \OT1/cmr/m/it/10 x $\O *** T1/cmr/m/n/10 =$ \OT1/cmr/m/it/10 connected[]component[]set *** [123] *** Overfull \hbox (28.21281pt too wide) in paragraph at lines 7848--7850 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 components[]iff$\OT1/cmr/m/n/10 :$ *** \OT1/cmr/m/it/10 s $\OMS/cmsy/m/n/10 2$ \OT1/cmr/m/it/10 com-po-nents u $\OMS/c *** msy/m/n/10 []!$ $\OT1/cmr/m/n/10 ($$\OMS/cmsy/m/n/10 9 $\OT1/cmr/m/it/10 x$\OM *** L/cmm/m/it/10 :$ \OT1/cmr/m/it/10 x $\OMS/cmsy/m/n/10 2$ \OT1/cmr/m/it/10 u $\O *** MS/cmsy/m/n/10 ^$ \OT1/cmr/m/it/10 s $\OT1/cmr/m/n/10 =$ \OT1/cmr/m/it/10 conne *** cted[]component[]set *** [124] [125] *** Overfull \hbox (28.12991pt too wide) in paragraph at lines 8301--8303 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 in[]components[]unions[]complement$ *** \OT1/cmr/m/n/10 :$ \OT1/cmr/m/it/10 c $\OMS/cmsy/m/n/10 2$ \OT1/cmr/m/it/10 com *** -po-nents s $\OT1/cmr/m/n/10 =[]\OMS/cmsy/m/n/10 )$ \OT1/cmr/m/it/10 s $\OMS/cm *** sy/m/n/10 ^^@$ \OT1/cmr/m/it/10 c $\OT1/cmr/m/n/10 =$ $[] $$($\OT1/cmr/m/it/10 *** components *** *** Overfull \hbox (69.18922pt too wide) in paragraph at lines 8378--8380 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 closedin[]connected[]component$\OT1 *** /cmr/m/n/10 :$ \OT1/cmr/m/it/10 closedin $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 su *** btopology eu-clidean s$\OT1/cmr/m/n/10 )$ $($\OT1/cmr/m/it/10 connected[]compon *** ent[]set *** [126] [127] [128] [129] [130] [131] [132] [133] [134] [135] [136] [137] *** [138] [139] [140] [141] [142] [143] [144] [145] [146] [147] [148] *** Overfull \hbox (5.275pt too wide) in paragraph at lines 17225--17225 *** []\OT1/cmr/bx/n/12 Relations among con-ver-gence and ab-so-lute con-ver-gence *** [149] [150] [151] [152] [153] [154] [155] [156] [157] [158] [159] [160] *** [161] [162] [163] [164] [165] [166] [167] [168] [169] [170] [171] [172] *** [173] [174] [175] [176] [177] [178] [179] [180] [181] [182] [183] [184] *** [185]) (./Convex.tex [186] [187] [188] [189] [190] [191]) (./Set_Algebras.tex *** [192] [193] [194] [195] [196] [197]) (./Convex_Euclidean_Space.tex [198] *** [199] [200] [201] [202] [203] [204] [205] [206] [207] [208] [209] [210] *** [211] [212] *** Overfull \hbox (5.15286pt too wide) in paragraph at lines 5995--5995 *** []\OT1/cmr/bx/n/12 Relations among clo-sure no-tions and cor-re-spond-ing hulls *** *** [213] [214] [215] [216] [217] [218] *** Overfull \hbox (23.04463pt too wide) in paragraph at lines 8467--8469 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 aff[]dim[]UNIV $\OT1/cmr/m/n/10 [$\ *** OT1/cmr/m/it/10 simp$\OT1/cmr/m/n/10 ]$$:$ \OT1/cmr/m/it/10 aff[]dim $\OT1/cmr/ *** m/n/10 ($\OT1/cmr/m/it/10 UNIV $\OT1/cmr/m/n/10 :$$:$ $ [] $\OT1/cmr/m/it/10 n$ *** \OT1/cmr/m/n/10 :$$:$\OT1/cmr/m/it/10 euclidean[]space set$\OT1/cmr/m/n/10 )$ $ *** =$ \OT1/cmr/m/it/10 int$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 DIM$\OT1/cmr/m/n/10 *** ($$ [] $\OT1/cmr/m/it/10 n$\OT1/cmr/m/n/10 )$$)$[] *** [219] [220] [221] [222] [223] *** Overfull \hbox (10.64449pt too wide) in paragraph at lines 10588--10590 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 openin[]rel[]interior$\OT1/cmr/m/n/ *** 10 :$ \OT1/cmr/m/it/10 openin $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 subtopology e *** u-clidean $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 affine hull S$\OT1/cmr/m/n/10 )$$ *** )$ $($\OT1/cmr/m/it/10 rel[]interior *** [224] [225] [226] [227] [228] [229] [230] [231] [232] [233] *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 15187. *** *** *** Package hyperref Warning: Token not 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Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 15187. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 15187. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 15187. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 15187. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 15187. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 15187. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 15187. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 15187. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 15187. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 15187. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 15187. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 15187. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 15187. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 15187. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 15187. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 15187. *** *** [234] [235] [236] [237] [238] [239] [240] [241] *** Overfull \hbox (5.2129pt too wide) in paragraph at lines 18079--18081 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 csegment[]midpoint[]subset$\OT1/cmr *** /m/n/10 :$ \OT1/cmr/m/it/10 closed[]segment $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 *** midpoint a b$\OT1/cmr/m/n/10 )$ \OT1/cmr/m/it/10 b $\OMS/cmsy/m/n/10 ^^R$ \OT1 *** /cmr/m/it/10 closed[]segment *** *** Overfull \hbox (50.34995pt too wide) in paragraph at lines 18246--18248 *** [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 segment[]image[]interval $\OT1/cmr *** /m/n/10 =$ \OT1/cmr/m/it/10 closed[]segment[]image[]interval open[]segment[]ima *** ge[]interval[] *** [242] [243] [244] *** Overfull \hbox (10.52654pt too wide) in paragraph at lines 19221--19225 *** [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 subset[]segment $\OT1/cmr/m/n/10 = *** $ \OT1/cmr/m/it/10 subset[]closed[]segment subset[]co[]segment subset[]oc[]segm *** ent *** [245] [246] [247] [248] *** Overfull \hbox (6.5654pt too wide) in paragraph at lines 21737--21739 *** [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 rel[]interior[]segment $\OT1/cmr/m *** /n/10 =$ \OT1/cmr/m/it/10 rel[]interior[]closed[]segment rel[]interior[]open[]s *** egment[] *** [249] [250] [251] [252] [253] [254] [255] [256] [257] [258] [259] [260] *** [261] [262] [263] [264] [265] *** Overfull \hbox (0.49521pt too wide) in paragraph at lines 28614--28616 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 continuous[]on[]setdist $\OT1/cmr/m *** /n/10 [$\OT1/cmr/m/it/10 continuous[]intros$\OT1/cmr/m/n/10 ]$$:$ \OT1/cmr/m/it *** /10 continuous[]on t $\OT1/cmr/m/n/10 ($$\OML/cmm/m/it/10 ^^U$\OT1/cmr/m/it/10 *** y$\OML/cmm/m/it/10 :$ $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 setdist $\OMS/cmsy/m/ *** n/10 f$\OT1/cmr/m/it/10 y$\OMS/cmsy/m/n/10 g$ *** [266] [267] [268] [269] [270] [271] [272] [273] [274] [275] [276] [277] *** [278] [279] [280] [281]) (./Extension.tex *** ! Missing $ inserted. *** *** $ *** l.244 } *** *** ! Missing $ inserted. *** *** $ *** l.244 } *** *** *** Overfull \hbox (35.7964pt too wide) in paragraph at lines 244--244 *** []\OT1/cmr/bx/n/12 Urysohn's lemma (for real$[]\OML/cmm/m/it/12 ; wheretheproof *** iseasyusingdistances\OT1/cmr/m/n/12 )$ *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `superscript' on input line 244. *** *** [282] [283] [284]) (./Path_Connected.tex [285] [286] [287] [288] *** Overfull \hbox (6.59167pt too wide) in paragraph at lines 955--956 *** [][] \OT1/cmr/m/it/10 path[]reversepath path[]image[]reversepath pathstart[]re *** versepath pathfinish[]reversepath[] *** [289] *** Overfull \hbox (21.20909pt too wide) in paragraph at lines 1237--1239 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 path[]image[]join[]subset$\OT1/cmr/ *** m/n/10 :$ \OT1/cmr/m/it/10 path[]image $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 g1 $ *** \OT1/cmr/m/n/10 +$$+$$+$ \OT1/cmr/m/it/10 g2$\OT1/cmr/m/n/10 )$ $\OMS/cmsy/m/n/ *** 10 ^^R$ \OT1/cmr/m/it/10 path[]image g1 $\OMS/cmsy/m/n/10 [$ \OT1/cmr/m/it/10 p *** ath[]image *** [290] [291] [292] [293] [294] [295] [296] [297] [298] *** Overfull \hbox (37.87097pt too wide) in paragraph at lines 4103--4105 *** [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 path[]defs $\OT1/cmr/m/n/10 =$ \OT *** 1/cmr/m/it/10 path[]def pathstart[]def pathfinish[]def path[]image[]def path[]c *** omponent[]def[] *** *** Overfull \hbox (14.03961pt too wide) in paragraph at lines 4232--4234 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 path[]component[]of[]subset$\OT1/cm *** r/m/n/10 :$ \OT1/cmr/m/it/10 s $\OMS/cmsy/m/n/10 ^^R$ \OT1/cmr/m/it/10 t $\OT1/ *** cmr/m/n/10 =[]\OMS/cmsy/m/n/10 )$ \OT1/cmr/m/it/10 path[]component s x y $\OT1/ *** cmr/m/n/10 =[]\OMS/cmsy/m/n/10 )$ \OT1/cmr/m/it/10 path[]component *** [299] *** *** Package hyperref Warning: Difference (2) between bookmark levels is greater *** (hyperref) than one, level fixed on input line 4276. *** *** *** Overfull \hbox (21.27pt too wide) in paragraph at lines 4379--4381 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 path[]connected[]component$\OT1/cmr *** /m/n/10 :$ \OT1/cmr/m/it/10 path[]connected s $\OMS/cmsy/m/n/10 []!$ $\OT1/cmr *** /m/n/10 ($$\OMS/cmsy/m/n/10 8 $\OT1/cmr/m/it/10 x$\OMS/cmsy/m/n/10 2$\OT1/cmr/m *** /it/10 s$\OML/cmm/m/it/10 :$ $\OMS/cmsy/m/n/10 8 $\OT1/cmr/m/it/10 y$\OMS/cmsy/ *** m/n/10 2$\OT1/cmr/m/it/10 s$\OML/cmm/m/it/10 :$ \OT1/cmr/m/it/10 path[]componen *** t *** *** Overfull \hbox (22.5754pt too wide) in paragraph at lines 4398--4400 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 path[]connected[]component[]set$\OT *** 1/cmr/m/n/10 :$ \OT1/cmr/m/it/10 path[]connected s $\OMS/cmsy/m/n/10 []!$ $\OT *** 1/cmr/m/n/10 ($$\OMS/cmsy/m/n/10 8 $\OT1/cmr/m/it/10 x$\OMS/cmsy/m/n/10 2$\OT1/ *** cmr/m/it/10 s$\OML/cmm/m/it/10 :$ \OT1/cmr/m/it/10 path[]component[]set *** [300] *** Overfull \hbox (0.12315pt too wide) in paragraph at lines 4473--4475 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 path[]connected[]UNIV $\OT1/cmr/m/n *** /10 [$\OT1/cmr/m/it/10 iff$\OT1/cmr/m/n/10 ]$$:$ \OT1/cmr/m/it/10 path[]connect *** ed $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 UNIV $\OT1/cmr/m/n/10 :$$:$ $ [] $\OT1/c *** mr/m/it/10 a$\OT1/cmr/m/n/10 :$$:$\OT1/cmr/m/it/10 real[]normed[]vector *** *** Overfull \hbox (51.89098pt too wide) in paragraph at lines 4491--4493 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 path[]component[]UNIV$\OT1/cmr/m/n/ *** 10 :$ \OT1/cmr/m/it/10 path[]component[]set UNIV x $\OT1/cmr/m/n/10 =$ $($\OT1/ *** cmr/m/it/10 UNIV $\OT1/cmr/m/n/10 :$$:$ $ [] $\OT1/cmr/m/it/10 a$\OT1/cmr/m/n/1 *** 0 :$$:$\OT1/cmr/m/it/10 real[]normed[]vector *** [301] [302] [303] [304] *** Overfull \hbox (8.31168pt too wide) in paragraph at lines 6485--6486 *** [][] \OT1/cmr/bx/n/10 shows \OT1/cmr/m/it/10 x $\OMS/cmsy/m/n/10 2$ \OT1/cmr/m *** /it/10 clo-sure $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 connected[]component[]set s *** y$\OT1/cmr/m/n/10 )$ $\OMS/cmsy/m/n/10 []!$ \OT1/cmr/m/it/10 x $\OMS/cmsy/m/ *** n/10 2$ \OT1/cmr/m/it/10 connected[]component[]set *** [305] [306] [307] [308] *** Overfull \hbox (6.33363pt too wide) in paragraph at lines 7507--7508 *** [][] \OT1/cmr/bx/n/10 shows \OT1/cmr/m/it/10 in-side s $\OT1/cmr/m/n/10 =$ *** $\OMS/cmsy/m/n/10 f$\OT1/cmr/m/it/10 x$\OML/cmm/m/it/10 :$ $\OT1/cmr/m/n/10 ($ *** \OT1/cmr/m/it/10 x $[]$ s$\OT1/cmr/m/n/10 )$ $\OMS/cmsy/m/n/10 ^$ $\OT1/cmr/m/n *** /10 ($$\OMS/cmsy/m/n/10 8 $\OT1/cmr/m/it/10 B$\OML/cmm/m/it/10 :$ $\OMS/cmsy/m/ *** n/10 9 $\OT1/cmr/m/it/10 y$\OML/cmm/m/it/10 :$ \OT1/cmr/m/it/10 B $\OML/cmm/m/i *** t/10 <$ \OT1/cmr/m/it/10 norm$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 y$\OT1/cmr/m/n *** /10 )$ $\OMS/cmsy/m/n/10 ^$ $[][]$$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 connected *** []component *** *** Overfull \hbox (6.33363pt too wide) in paragraph at lines 7528--7529 *** [][] \OT1/cmr/bx/n/10 shows \OT1/cmr/m/it/10 in-side s $\OT1/cmr/m/n/10 =$ *** $\OMS/cmsy/m/n/10 f$\OT1/cmr/m/it/10 x$\OML/cmm/m/it/10 :$ $\OT1/cmr/m/n/10 ($ *** \OT1/cmr/m/it/10 x $[]$ s$\OT1/cmr/m/n/10 )$ $\OMS/cmsy/m/n/10 ^$ $\OT1/cmr/m/n *** /10 ($$\OMS/cmsy/m/n/10 8 $\OT1/cmr/m/it/10 B$\OML/cmm/m/it/10 :$ $\OMS/cmsy/m/ *** n/10 9 $\OT1/cmr/m/it/10 y$\OML/cmm/m/it/10 :$ \OT1/cmr/m/it/10 B $\OMS/cmsy/m/ *** n/10 ^^T$ \OT1/cmr/m/it/10 norm$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 y$\OT1/cmr/m *** /n/10 )$ $\OMS/cmsy/m/n/10 ^$ $[][]$$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 connect *** ed[]component *** [309] *** Overfull \hbox (16.51146pt too wide) in paragraph at lines 7894--7896 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 components[]univ $\OT1/cmr/m/n/10 [ *** $\OT1/cmr/m/it/10 simp$\OT1/cmr/m/n/10 ]$$:$ \OT1/cmr/m/it/10 com-po-nents UNIV *** $\OT1/cmr/m/n/10 =$ $\OMS/cmsy/m/n/10 f$\OT1/cmr/m/it/10 UNIV $\OT1/cmr/m/n/10 *** :$$:$ $ [] $\OT1/cmr/m/it/10 a$\OT1/cmr/m/n/10 :$$:$\OT1/cmr/m/it/10 real[]nor *** med[]vector *** *** Overfull \hbox (14.64363pt too wide) in paragraph at lines 7970--7972 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 inside[]empty $\OT1/cmr/m/n/10 [$\O *** T1/cmr/m/it/10 simp$\OT1/cmr/m/n/10 ]$$:$ \OT1/cmr/m/it/10 in-side $\OMS/cmsy/m *** /n/10 f$$g$ $\OT1/cmr/m/n/10 =$ $($$\OMS/cmsy/m/n/10 f$$g$ $\OT1/cmr/m/n/10 :$$ *** :$ $ [] $\OT1/cmr/m/it/10 a $\OT1/cmr/m/n/10 :$$:$ $\OMS/cmsy/m/n/10 f$\OT1/cmr *** /m/it/10 real[]normed[]vector$\OML/cmm/m/it/10 ;$ \OT1/cmr/m/it/10 perfect[]spa *** ce$\OMS/cmsy/m/n/10 g$ *** [310] [311] [312] [313] [314] *** Overfull \hbox (5.65479pt too wide) in paragraph at lines 9661--9663 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 continuous[]on[]o[]Pair$\OT1/cmr/m/ *** n/10 :$ $[]$\OT1/cmr/m/it/10 continuous[]on $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 *** T $\OMS/cmsy/m/n/10 ^^B$ \OT1/cmr/m/it/10 X$\OT1/cmr/m/n/10 )$ \OT1/cmr/m/it/1 *** 0 h$\OT1/cmr/m/n/10 ;$ \OT1/cmr/m/it/10 t $\OMS/cmsy/m/n/10 2$ \OT1/cmr/m/it/10 *** T$[]$ $\OT1/cmr/m/n/10 =[]\OMS/cmsy/m/n/10 )$ \OT1/cmr/m/it/10 continuous[]on *** [315] [316] [317] *** Overfull \hbox (2.0565pt too wide) in paragraph at lines 10552--10554 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 homotopic[]paths[]subset$\OT1/cmr/m *** /n/10 :$ $[]$\OT1/cmr/m/it/10 homotopic[]paths s p q$\OT1/cmr/m/n/10 ;$ \OT1/cm *** r/m/it/10 s $\OMS/cmsy/m/n/10 ^^R$ \OT1/cmr/m/it/10 t$[]$ $\OT1/cmr/m/n/10 =[]\ *** OMS/cmsy/m/n/10 )$ \OT1/cmr/m/it/10 homotopic[]paths *** [318] *** Overfull \hbox (2.5007pt too wide) in paragraph at lines 10766--10767 *** [][] $[]$\OT1/cmr/m/it/10 path p$\OT1/cmr/m/n/10 ;$ \OT1/cmr/m/it/10 path[]im *** age p $\OMS/cmsy/m/n/10 ^^R$ \OT1/cmr/m/it/10 s$[]$ $\OT1/cmr/m/n/10 =[]\OMS/cm *** sy/m/n/10 )$ \OT1/cmr/m/it/10 homotopic[]paths s $\OT1/cmr/m/n/10 ($\OT1/cmr/m/ *** it/10 linepath $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 pathstart p$\OT1/cmr/m/n/10 *** )$ $($\OT1/cmr/m/it/10 pathstart *** [319] *** Overfull \hbox (4.03244pt too wide) in paragraph at lines 10825--10826 *** [][] \OT1/cmr/bx/n/10 shows \OT1/cmr/m/it/10 homotopic[]paths s $\OT1/cmr/m/ *** n/10 ($\OT1/cmr/m/it/10 p $\OT1/cmr/m/n/10 +$$+$$+$ \OT1/cmr/m/it/10 re-versepa *** th p$\OT1/cmr/m/n/10 )$ $($\OT1/cmr/m/it/10 linepath $\OT1/cmr/m/n/10 ($\OT1/cm *** r/m/it/10 pathstart p$\OT1/cmr/m/n/10 )$ $($\OT1/cmr/m/it/10 pathstart *** [320] [321] [322] [323] [324] [325] [326] [327] [328] [329] [330] [331] *** [332] [333] [334] *** Overfull \hbox (40.4922pt too wide) in paragraph at lines 15223--15225 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 locally[]path[]connected[]UNIV$\OT1 *** /cmr/m/n/10 :$ \OT1/cmr/m/it/10 lo-cally path[]connected $\OT1/cmr/m/n/10 ($\OT *** 1/cmr/m/it/10 UNIV$\OT1/cmr/m/n/10 :$$:$$ [] $\OT1/cmr/m/it/10 a $\OT1/cmr/m/n/ *** 10 :$$:$ \OT1/cmr/m/it/10 real[]normed[]vector *** [335] [336] [337] [338] [339] [340] [341] [342]) (./Homeomorphism.tex *** Overfull \hbox (19.93336pt too wide) in paragraph at lines 26--26 *** []\OT1/cmr/bx/n/12 Homeomorphism of all con-vex com-pact sets with nonempty *** [343] *** Overfull \hbox (3.17503pt too wide) in paragraph at lines 1363--1363 *** []\OT1/cmr/bx/n/12 Homeomorphisms be-tween punc-tured spheres and affine *** [344] [345] [346] *** Overfull \hbox (18.0449pt too wide) in paragraph at lines 2665--2667 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 homeomorphism[]imp[]covering[]space *** $\OT1/cmr/m/n/10 :$ \OT1/cmr/m/it/10 home-o-mor-phism s t f g $\OT1/cmr/m/n/10 *** =[]\OMS/cmsy/m/n/10 )$ \OT1/cmr/m/it/10 covering[]space *** [347]) (./Brouwer_Fixpoint.tex [348] [349] [350] [351] [352] [353] [354] *** [355] [356] [357] [358] [359] [360] *** ! Missing $ inserted. *** *** $ *** l.6169 R^ *** n can be embedded as a closed subset of a convex subset of R^{n+1}) to *** *** ! Missing $ inserted. *** *** $ *** l.6173 \end{isamarkuptext} *** \isamarkuptrue% *** *** Overfull \hbox (1033.49123pt too wide) in paragraph at lines 6165--6173 *** \OT1/cmr/m/n/10.95 di-men-sion. This turns out to be suf-fi-cient (since any se *** t in R$[]\OML/cmm/m/it/10.95 canbeembeddedasaclosedsubsetofaconvexsubsetofR[]\O *** T1/cmr/m/n/10.95 )\OML/cmm/m/it/10.95 toderivetheusualdefinitions; butweneedtos *** plitthemintotwoimplicationsbecauseofthelackoftypequantifiers:ThenENRturnsouttob *** eequivalenttoANRpluslocalcompactness:$ *** [361] [362] [363] [364] [365] [366] [367]) (./Phantom_Type.tex [368]) *** (./Cardinality.tex [369] *** Overfull \hbox (13.17264pt too wide) in paragraph at lines 264--266 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 card[]UNIV[]set$\OT1/cmr/m/n/10 :$ *** \OT1/cmr/m/it/10 CARD$\OT1/cmr/m/n/10 ($$ [] $\OT1/cmr/m/it/10 a set$\OT1/cmr/m *** /n/10 )$ $=$ $($\OT1/cmr/m/it/10 if CARD$\OT1/cmr/m/n/10 ($$ [] $\OT1/cmr/m/it/ *** 10 a$\OT1/cmr/m/n/10 )$ $=$ \OT1/cmr/m/it/10 0 then 0 else 2 ^ CARD$\OT1/cmr/m/ *** n/10 ($$ [] $\OT1/cmr/m/it/10 a$\OT1/cmr/m/n/10 )$$)$[] *** [370] *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 687. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 687. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 687. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 687. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 687. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 687. *** *** [371] *** Overfull \hbox (23.95438pt too wide) in paragraph at lines 924--925 *** [][] $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 of[]phantom $\OT1/cmr/m/n/10 ($\OT1/c *** mr/m/it/10 card[]UNIV $\OT1/cmr/m/n/10 :$$:$ $ [] $\OT1/cmr/m/it/10 a card[]UNI *** V$\OT1/cmr/m/n/10 )$ $\OMS/cmsy/m/n/10 ^^C$ \OT1/cmr/m/it/10 of[]phantom $\OT1/ *** cmr/m/n/10 ($\OT1/cmr/m/it/10 card[]UNIV $\OT1/cmr/m/n/10 :$$:$ $ [] $\OT1/cmr/ *** m/it/10 b card[]UNIV$\OT1/cmr/m/n/10 )$$)$[] *** [372] *** Overfull \hbox (27.39897pt too wide) in paragraph at lines 1122--1124 *** [][]\OT1/cmr/bx/n/10 definition \OT1/cmr/m/it/10 finite[]UNIV $\OT1/cmr/m/n/10 *** =$ \OT1/cmr/m/it/10 Phan-tom$\OT1/cmr/m/n/10 ($$ [] $\OT1/cmr/m/it/10 a set$\OT *** 1/cmr/m/n/10 )$ $($\OT1/cmr/m/it/10 of[]phantom $\OT1/cmr/m/n/10 ($\OT1/cmr/m/i *** t/10 finite[]UNIV $\OT1/cmr/m/n/10 :$$:$ $ [] $\OT1/cmr/m/it/10 a finite[]UNIV$ *** \OT1/cmr/m/n/10 )$$)$[] *** [373] *** Overfull \hbox (2.75156pt too wide) in paragraph at lines 1221--1223 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 UNIV[]finite[]4$\OT1/cmr/m/n/10 :$ *** \OT1/cmr/m/it/10 UNIV $\OT1/cmr/m/n/10 =$ \OT1/cmr/m/it/10 set $\OT1/cmr/m/n/10 *** [$\OT1/cmr/m/it/10 finite[]4$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 a$[][]$$\OML/ *** cmm/m/it/10 ;$ \OT1/cmr/m/it/10 finite[]4$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 a *** $[][]$$\OML/cmm/m/it/10 ;$ \OT1/cmr/m/it/10 finite[]4$\OML/cmm/m/it/10 :$\OT1/c *** mr/m/it/10 a$[][]$$\OML/cmm/m/it/10 ;$ \OT1/cmr/m/it/10 finite[]4$\OML/cmm/m/it *** /10 :$\OT1/cmr/m/it/10 a$[][]$$\OT1/cmr/m/n/10 ]$[] *** [374] [375] *** Overfull \hbox (6.78505pt too wide) in paragraph at lines 1510--1511 *** [][] \OT1/cmr/m/it/10 card$ [] $ $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 List$\OML *** /cmm/m/it/10 :$\OT1/cmr/m/it/10 coset xs$\OT1/cmr/m/n/10 )$ $=$ \OT1/cmr/m/it/1 *** 0 of[]phantom $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 card[]UNIV $\OT1/cmr/m/n/10 : *** $$:$ $ [] $\OT1/cmr/m/it/10 a card[]UNIV$\OT1/cmr/m/n/10 )$ $\OMS/cmsy/m/n/10 ^ *** ^@$ \OT1/cmr/m/it/10 length $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 remdups *** [376] *** Overfull \hbox (10.047pt too wide) in paragraph at lines 1684--1685 *** [][] $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 STR $ [] $$ [] $subset[]eq $\OT1/c *** mr/m/n/10 ($\OT1/cmr/m/it/10 List$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 coset []$ *** \OT1/cmr/m/n/10 )$ $($\OT1/cmr/m/it/10 List$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 *** set []$\OT1/cmr/m/n/10 )$ \OT1/cmr/m/it/10 re-quires type class in-stance card *** []UNIV$ [] $$ [] $$\OT1/cmr/m/n/10 )$[] *** ) (./Numeral_Type.tex [377] [378] [379] [380] [381] [382] *** Overfull \hbox (10.38689pt too wide) in paragraph at lines 1368--1370 *** [][]\OT1/cmr/bx/n/10 definition $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 enum[]class *** $\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 enum $\OT1/cmr/m/n/10 :$$:$ $ [] $\OT1/cmr *** /m/it/10 a bit0 list$\OT1/cmr/m/n/10 )$ $=$ \OT1/cmr/m/it/10 map $\OT1/cmr/m/n/ *** 10 ($\OT1/cmr/m/it/10 Abs[]bit0$ [] $ $\OMS/cmsy/m/n/10 ^^N$ \OT1/cmr/m/it/10 i *** nt$\OT1/cmr/m/n/10 )$ $($\OT1/cmr/m/it/10 upt 0 $\OT1/cmr/m/n/10 ($\OT1/cmr/m/i *** t/10 CARD$\OT1/cmr/m/n/10 ($$ [] $\OT1/cmr/m/it/10 a *** [383] *** Overfull \hbox (10.38689pt too wide) in paragraph at lines 1420--1422 *** [][]\OT1/cmr/bx/n/10 definition $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 enum[]class *** $\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 enum $\OT1/cmr/m/n/10 :$$:$ $ [] $\OT1/cmr *** /m/it/10 a bit1 list$\OT1/cmr/m/n/10 )$ $=$ \OT1/cmr/m/it/10 map $\OT1/cmr/m/n/ *** 10 ($\OT1/cmr/m/it/10 Abs[]bit1$ [] $ $\OMS/cmsy/m/n/10 ^^N$ \OT1/cmr/m/it/10 i *** nt$\OT1/cmr/m/n/10 )$ $($\OT1/cmr/m/it/10 upt 0 $\OT1/cmr/m/n/10 ($\OT1/cmr/m/i *** t/10 CARD$\OT1/cmr/m/n/10 ($$ [] $\OT1/cmr/m/it/10 a *** ) (./Finite_Cartesian_Product.tex [384] [385] *** Overfull \hbox (2.57007pt too wide) in paragraph at lines 442--458 *** [][]\OT1/cmr/bx/n/10 instance \OT1/cmr/m/it/10 vec $\OT1/cmr/m/n/10 :$$:$ $($\O *** T1/cmr/m/it/10 cancel[]comm[]monoid[]add$\OML/cmm/m/it/10 ;$ \OT1/cmr/m/it/10 f *** i-nite$\OT1/cmr/m/n/10 )$ \OT1/cmr/m/it/10 cancel[]comm[]monoid[]add $\OMS/cmsy *** /m/n/10 h[]i$[] *** [386] [387] [388] [389]) (./Operator_Norm.tex [390] [391] [392]) *** (./Countable_Complete_Lattices.tex [393] [394] [395] [396] [397] *** *** Package hyperref Warning: Difference (2) between bookmark levels is greater *** (hyperref) than one, level fixed on input line 1235. *** *** ) (./Order_Continuity.tex *** Overfull \hbox (22.3349pt too wide) in paragraph at lines 86--89 *** []\OT1/cmr/m/n/10.95 The name \OT1/cmr/m/it/10.95 con-tin-u-ous \OT1/cmr/m/n/10 *** .95 is al-ready taken in \OT1/cmr/m/it/10.95 Complex[]Main\OT1/cmr/m/n/10.95 , *** so we use \OT1/cmr/m/it/10.95 sup[]continuous *** [398] *** Overfull \hbox (12.76334pt too wide) in paragraph at lines 162--163 *** [][] \OT1/cmr/bx/n/10 and \OT1/cmr/m/it/10 sup[]continuous[]If$\OT1/cmr/m/n/ *** 10 :$ \OT1/cmr/m/it/10 sup[]continuous F $\OT1/cmr/m/n/10 =[]\OMS/cmsy/m/n/10 ) *** $ \OT1/cmr/m/it/10 sup[]continuous G $\OT1/cmr/m/n/10 =[]\OMS/cmsy/m/n/10 )$ \O *** T1/cmr/m/it/10 sup[]continuous *** *** Overfull \hbox (5.84189pt too wide) in paragraph at lines 239--240 *** [][] \OT1/cmr/bx/n/10 fixes \OT1/cmr/m/it/10 P Q $\OT1/cmr/m/n/10 :$$:$ $ [] $ *** \OT1/cmr/m/it/10 a $\OT1/cmr/m/n/10 :$$:$ \OT1/cmr/m/it/10 countable[]complete[ *** ]lattice $\OMS/cmsy/m/n/10 )$ $ [] $\OT1/cmr/m/it/10 b $\OT1/cmr/m/n/10 :$$:$ \ *** OT1/cmr/m/it/10 countable[]complete[]distrib[]lattice[] *** [399] *** Overfull \hbox (1.51895pt too wide) in paragraph at lines 644--645 *** [][] \OT1/cmr/bx/n/10 and \OT1/cmr/m/it/10 inf[]continuous[]If$\OT1/cmr/m/n/ *** 10 :$ \OT1/cmr/m/it/10 inf[]continuous F $\OT1/cmr/m/n/10 =[]\OMS/cmsy/m/n/10 ) *** $ \OT1/cmr/m/it/10 inf[]continuous G $\OT1/cmr/m/n/10 =[]\OMS/cmsy/m/n/10 )$ \O *** T1/cmr/m/it/10 inf[]continuous *** [400] *** Overfull \hbox (5.84189pt too wide) in paragraph at lines 682--683 *** [][] \OT1/cmr/bx/n/10 fixes \OT1/cmr/m/it/10 P Q $\OT1/cmr/m/n/10 :$$:$ $ [] $ *** \OT1/cmr/m/it/10 a $\OT1/cmr/m/n/10 :$$:$ \OT1/cmr/m/it/10 countable[]complete[ *** ]lattice $\OMS/cmsy/m/n/10 )$ $ [] $\OT1/cmr/m/it/10 b $\OT1/cmr/m/n/10 :$$:$ \ *** OT1/cmr/m/it/10 countable[]complete[]distrib[]lattice[] *** [401]) (./Extended_Nat.tex *** Overfull \hbox (39.25368pt too wide) in paragraph at lines 31--32 *** [][] \OT1/cmr/bx/n/10 fixes \OT1/cmr/m/it/10 f $\OT1/cmr/m/n/10 :$$:$ \OT1/cmr *** /m/it/10 nat $\OMS/cmsy/m/n/10 )$ $ [] $\OT1/cmr/m/it/10 a$\OT1/cmr/m/n/10 :$$: *** $$\OMS/cmsy/m/n/10 f$\OT1/cmr/m/it/10 canonically[]ordered[]monoid[]add$\OML/cm *** m/m/it/10 ;$ \OT1/cmr/m/it/10 linorder[]topology$\OML/cmm/m/it/10 ;$ \OT1/cmr/m *** /it/10 complete[]linorder$\OMS/cmsy/m/n/10 g$[] *** [402] [403] [404] [405] [406] [407] [408] [409] [410] [411]) *** (./Liminf_Limsup.tex [412] *** *** Package hyperref Warning: Difference (2) between bookmark levels is greater *** (hyperref) than one, level fixed on input line 262. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 262. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 262. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 262. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 262. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 262. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 262. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 262. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 262. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 262. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 262. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 262. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 262. *** *** [413] [414] [415] [416] *** Overfull \hbox (53.11404pt too wide) in paragraph at lines 1415--1416 *** [][] \OT1/cmr/bx/n/10 fixes \OT1/cmr/m/it/10 f $\OT1/cmr/m/n/10 :$$:$ $ [] $\O *** T1/cmr/m/it/10 a$\OT1/cmr/m/n/10 :$$:$$\OMS/cmsy/m/n/10 f$\OT1/cmr/m/it/10 comp *** lete[]linorder$\OML/cmm/m/it/10 ;$\OT1/cmr/m/it/10 linorder[]topology$\OMS/cmsy *** /m/n/10 g$ $)$ $ [] $\OT1/cmr/m/it/10 b$\OT1/cmr/m/n/10 :$$:$$\OMS/cmsy/m/n/10 *** f$\OT1/cmr/m/it/10 complete[]linorder$\OML/cmm/m/it/10 ;$\OT1/cmr/m/it/10 linor *** der[]topology$\OMS/cmsy/m/n/10 g$[] *** [417]) (./Extended_Real.tex *** Overfull \hbox (11.55113pt too wide) in paragraph at lines 26--28 *** \OT1/cmr/m/n/10.95 entry \OT1/cmr/m/it/10.95 Jinja[]Thread \OT1/cmr/m/n/10.95 f *** ails, as it does over-load cer-tain named from \OT1/cmr/m/it/10.95 Complex[]Mai *** n\OT1/cmr/m/n/10.95 . *** [418] [419] [420] [421] [422] [423] *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 1516. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 1516. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 1516. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 1516. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 1516. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 1516. *** *** [424] [425] [426] [427] [428] [429] [430] [431] [432] [433] [434] [435] *** [436] [437] *** Overfull \hbox (1.62889pt too wide) in paragraph at lines 4834--4836 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 real[]of[]ereal[]minus$ [] $$\OT1/c *** mr/m/n/10 :$ $\OMS/cmsy/m/n/10 j$\OT1/cmr/m/it/10 x$\OMS/cmsy/m/n/10 j$ $\OT1/c *** mr/m/n/10 =$ $\OMS/cmsy/m/n/10 1$ $ []!$ $j$\OT1/cmr/m/it/10 y$\OMS/cmsy/m/n/10 *** j$ $\OT1/cmr/m/n/10 =$ $\OMS/cmsy/m/n/10 1$ $\OT1/cmr/m/n/10 =[]\OMS/cmsy/m/n/ *** 10 )$ \OT1/cmr/m/it/10 real[]of[]ereal x $\OMS/cmsy/m/n/10 ^^@$ \OT1/cmr/m/it/1 *** 0 real[]of[]ereal *** [438] [439] [440] [441] [442] [443] [444] [445] [446] [447] [448] *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 7636. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 7636. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 7636. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 7636. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 7636. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 7636. *** *** [449] *** Overfull \hbox (6.76736pt too wide) in paragraph at lines 7867--7869 *** [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 ereal[]of[]enat[]pushin $\OT1/cmr/ *** m/n/10 =$ \OT1/cmr/m/it/10 ereal[]of[]enat[]add ereal[]of[]enat[]sub ereal[]of[ *** ]enat[]mult[] *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 7991. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 7991. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 7991. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 7991. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 7991. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 7991. *** *** [450] *** Overfull \hbox (29.40167pt too wide) in paragraph at lines 8349--8351 *** [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 ereal[]open[]greaterThanLessThan $ *** \OT1/cmr/m/n/10 =$ \OT1/cmr/m/it/10 open[]greaterThanLessThan$\OT1/cmr/m/n/10 [ *** $\OT1/cmr/bx/n/10 where $ [] $\OT1/cmr/m/it/10 a$\OT1/cmr/m/n/10 =$\OT1/cmr/m/i *** t/10 ereal$\OT1/cmr/m/n/10 ]$[] *** [451] [452] [453] [454] [455] [456] [457] [458] [459] [460] [461] [462] *** [463] [464] *** Overfull \hbox (2.01228pt too wide) in paragraph at lines 12612--12614 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 continuous[]inverse[]ereal[]nonpos$ *** \OT1/cmr/m/n/10 :$ \OT1/cmr/m/it/10 continuous[]on $\OT1/cmr/m/n/10 ($$\OMS/cms *** y/m/n/10 f$$\OML/cmm/m/it/10 :$$:$$<$\OT1/cmr/m/it/10 0$\OMS/cmsy/m/n/10 g$ $\O *** T1/cmr/m/n/10 :$$:$ \OT1/cmr/m/it/10 ereal set$\OT1/cmr/m/n/10 )$ \OT1/cmr/m/it *** /10 inverse[] *** [465] [466] [467]) (./Summation.tex [468] [469] [470] *** Overfull \hbox (14.73738pt too wide) in paragraph at lines 1147--1148 *** [][] \OT1/cmr/bx/n/10 shows \OT1/cmr/m/it/10 summable $\OT1/cmr/m/n/10 ($$\OML *** /cmm/m/it/10 ^^U$\OT1/cmr/m/it/10 n$\OML/cmm/m/it/10 :$ \OT1/cmr/m/it/10 in-ver *** se $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 of[]nat n ^ s $\OT1/cmr/m/n/10 :$$:$ $ [ *** ] $\OT1/cmr/m/it/10 a $\OT1/cmr/m/n/10 :$$:$ $\OMS/cmsy/m/n/10 f$\OT1/cmr/m/it/ *** 10 real[]normed[]div[]algebra$\OML/cmm/m/it/10 ;$\OT1/cmr/m/it/10 banach$\OMS/c *** msy/m/n/10 g$$\OT1/cmr/m/n/10 )$$)$[] *** *** Overfull \hbox (45.08401pt too wide) in paragraph at lines 1172--1174 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 not[]summable[]harmonic$\OT1/cmr/m/ *** n/10 :$ $\OMS/cmsy/m/n/10 :$\OT1/cmr/m/it/10 summable $\OT1/cmr/m/n/10 ($$\OML/ *** cmm/m/it/10 ^^U$\OT1/cmr/m/it/10 n$\OML/cmm/m/it/10 :$ \OT1/cmr/m/it/10 in-vers *** e $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 of[]nat n$\OT1/cmr/m/n/10 )$ $:$$:$ $ [] *** $\OT1/cmr/m/it/10 a $\OT1/cmr/m/n/10 :$$:$ \OT1/cmr/m/it/10 real[]normed[]field *** $\OT1/cmr/m/n/10 )$[] *** [471] [472] *** Overfull \hbox (21.25558pt too wide) in paragraph at lines 1953--1954 *** [][] \OT1/cmr/bx/n/10 as-sumes $\OMS/cmsy/m/n/10 :$\OT1/cmr/m/it/10 summable $ *** \OT1/cmr/m/n/10 ($$\OML/cmm/m/it/10 ^^U$\OT1/cmr/m/it/10 n$\OML/cmm/m/it/10 :$ *** \OT1/cmr/m/it/10 norm $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 f n $\OMS/cmsy/m/n/10 *** ^^C$ \OT1/cmr/m/it/10 z ^ n $\OT1/cmr/m/n/10 :$$:$ $ [] $\OT1/cmr/m/it/10 a $\ *** OT1/cmr/m/n/10 :$$:$ $\OMS/cmsy/m/n/10 f$\OT1/cmr/m/it/10 banach$\OML/cmm/m/it/ *** 10 ;$ \OT1/cmr/m/it/10 real[]normed[]div[]algebra$\OMS/cmsy/m/n/10 g$$\OT1/cmr/ *** m/n/10 )$$)$[] *** [473] [474] [475] *** Overfull \hbox (2.13492pt too wide) in paragraph at lines 2678--2679 *** [][] \OT1/cmr/bx/n/10 shows \OT1/cmr/m/it/10 conv[]radius $\OT1/cmr/m/n/10 ($$ *** \OML/cmm/m/it/10 ^^U$\OT1/cmr/m/it/10 x$\OML/cmm/m/it/10 :$ $[] $\OT1/cmr/m/it/ *** 10 i$\OMS/cmsy/m/n/10 ^^T$\OT1/cmr/m/it/10 x$\OML/cmm/m/it/10 :$ \OT1/cmr/m/it/ *** 10 f i $\OMS/cmsy/m/n/10 ^^C$ \OT1/cmr/m/it/10 g $\OT1/cmr/m/n/10 ($\OT1/cmr/m/ *** it/10 x $\OMS/cmsy/m/n/10 ^^@$ \OT1/cmr/m/it/10 i$\OT1/cmr/m/n/10 )$$)$ $\OMS/c *** msy/m/n/10 ^^U$ \OT1/cmr/m/it/10 min $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 conv[] *** radius f$\OT1/cmr/m/n/10 )$ $($\OT1/cmr/m/it/10 conv[]radius *** ) (./Uniform_Limit.tex [476] [477] *** Overfull \hbox (10.55191pt too wide) in paragraph at lines 535--536 *** [][] \OT1/cmr/m/it/10 uniformly[]convergent[]on X f $\OMS/cmsy/m/n/10 []!$ \O *** T1/cmr/m/it/10 uniform[]limit X f $\OT1/cmr/m/n/10 ($$\OML/cmm/m/it/10 ^^U$\OT1 *** /cmr/m/it/10 x$\OML/cmm/m/it/10 :$ \OT1/cmr/m/it/10 lim $\OT1/cmr/m/n/10 ($$\OM *** L/cmm/m/it/10 ^^U$\OT1/cmr/m/it/10 n$\OML/cmm/m/it/10 :$ \OT1/cmr/m/it/10 f n x *** $\OT1/cmr/m/n/10 )$$)$ \OT1/cmr/m/it/10 sequentially[] *** *** Overfull \hbox (37.95726pt too wide) in paragraph at lines 575--577 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 uniformly[]convergentI$\OT1/cmr/m/n *** /10 :$ \OT1/cmr/m/it/10 uniform[]limit X f l se-quen-tially $\OT1/cmr/m/n/10 =[ *** ]\OMS/cmsy/m/n/10 )$ \OT1/cmr/m/it/10 uniformly[]convergent[]on *** [478] [479] [480] *** Overfull \hbox (1.992pt too wide) in paragraph at lines 1305--1306 *** [][] \OT1/cmr/m/it/10 bounded[]bilinear$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 bo *** unded[]uniform[]limit$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Inner[]Product$\OML *** /cmm/m/it/10 :$\OT1/cmr/m/it/10 bounded[]bilinear[]inner$\OT1/cmr/m/n/10 ]$[] *** *** Overfull \hbox (18.8585pt too wide) in paragraph at lines 1306--1307 *** [][] \OT1/cmr/m/it/10 bounded[]bilinear$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 bo *** unded[]uniform[]limit$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Real[]Vector[]Space *** s$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 bounded[]bilinear[]mult$\OT1/cmr/m/n/10 ] *** $[] *** *** Overfull \hbox (26.6133pt too wide) in paragraph at lines 1307--1308 *** [][] \OT1/cmr/m/it/10 bounded[]bilinear$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 bo *** unded[]uniform[]limit$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Real[]Vector[]Space *** s$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 bounded[]bilinear[]scaleR$\OT1/cmr/m/n/10 *** ]$[] *** [481]) (./Bounded_Linear_Function.tex *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 28. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 28. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 28. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 28. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 28. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 28. *** *** [482] [483] *** Overfull \hbox (7.67009pt too wide) in paragraph at lines 247--248 *** \OT1/cmr/bx/n/10 instantiation \OT1/cmr/m/it/10 blin-fun $\OT1/cmr/m/n/10 :$$:$ *** $($\OT1/cmr/m/it/10 real[]normed[]vector$\OML/cmm/m/it/10 ;$ \OT1/cmr/m/it/10 *** real[]normed[]vector$\OT1/cmr/m/n/10 )$ \OT1/cmr/m/it/10 real[]normed[]vector[] *** *** [484] *** Overfull \hbox (45.60216pt too wide) in paragraph at lines 402--404 *** [][]\OT1/cmr/bx/n/10 declare \OT1/cmr/m/it/10 uniformity[]Abort$\OT1/cmr/m/n/10 *** [$\OT1/cmr/bx/n/10 where $ [] $\OT1/cmr/m/it/10 a$\OT1/cmr/m/n/10 =$$($$ [] $\ *** OT1/cmr/m/it/10 a $\OT1/cmr/m/n/10 :$$:$ \OT1/cmr/m/it/10 real[]normed[]vector$ *** \OT1/cmr/m/n/10 )$ $\OMS/cmsy/m/n/10 )$$[][]$ $\OT1/cmr/m/n/10 ($$ [] $\OT1/cmr *** /m/it/10 b $\OT1/cmr/m/n/10 :$$:$ \OT1/cmr/m/it/10 real[]normed[]vector$\OT1/cm *** r/m/n/10 )$$\OML/cmm/m/it/10 ;$ *** *** Overfull \hbox (18.41974pt too wide) in paragraph at lines 465--467 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 bounded[]bilinear[]blinfun[]apply$\ *** OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 bounded[]bilinear$\OT1/cmr/m/n/10 ]$$:$ \OT1/ *** cmr/m/it/10 bounded[]bilinear blinfun[]apply[] *** [485] *** Overfull \hbox (49.36848pt too wide) in paragraph at lines 1031--1033 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 blinfun[]of[]matrix[]minus$\OT1/cmr *** /m/n/10 :$ \OT1/cmr/m/it/10 blinfun[]of[]matrix x $\OMS/cmsy/m/n/10 ^^@$ \OT1/c *** mr/m/it/10 blinfun[]of[]matrix y $\OT1/cmr/m/n/10 =$ \OT1/cmr/m/it/10 blinfun[] *** of[]matrix *** [486] [487] *** Overfull \hbox (11.42897pt too wide) in paragraph at lines 1552--1553 *** [][] $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 rel[]fun $\OT1/cmr/m/n/10 ($\OT1/cmr/ *** m/it/10 rel[]fun op $\OT1/cmr/m/n/10 =$ $($\OT1/cmr/m/it/10 pcr[]blinfun op $\O *** T1/cmr/m/n/10 =$ \OT1/cmr/m/it/10 op $\OT1/cmr/m/n/10 =$$)$$)$ \OT1/cmr/m/it/10 *** op $\OT1/cmr/m/n/10 =$$)$ \OT1/cmr/m/it/10 bounded[]bilinear bounded[]linear[] *** *** [488] [489] *** Overfull \hbox (44.03894pt too wide) in paragraph at lines 1908--1910 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 bounded[]linear[]blinfun[]inner[]ri *** ght$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 bounded[]linear$\OT1/cmr/m/n/10 ]$$:$ \O *** T1/cmr/m/it/10 bounded[]linear blinfun[]inner[]right[] *** *** Overfull \hbox (30.4946pt too wide) in paragraph at lines 1947--1949 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 bounded[]linear[]blinfun[]inner[]le *** ft$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 bounded[]linear$\OT1/cmr/m/n/10 ]$$:$ \OT *** 1/cmr/m/it/10 bounded[]linear blinfun[]inner[]left[] *** *** Overfull \hbox (53.26108pt too wide) in paragraph at lines 1986--1988 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 bounded[]linear[]blinfun[]scaleR[]r *** ight$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 bounded[]linear$\OT1/cmr/m/n/10 ]$$:$ \ *** OT1/cmr/m/it/10 bounded[]linear blinfun[]scaleR[]right[] *** *** Overfull \hbox (39.71674pt too wide) in paragraph at lines 2025--2027 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 bounded[]linear[]blinfun[]scaleR[]l *** eft$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 bounded[]linear$\OT1/cmr/m/n/10 ]$$:$ \O *** T1/cmr/m/it/10 bounded[]linear blinfun[]scaleR[]left[] *** *** Overfull \hbox (36.6279pt too wide) in paragraph at lines 2064--2066 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 bounded[]linear[]blinfun[]mult[]rig *** ht$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 bounded[]linear$\OT1/cmr/m/n/10 ]$$:$ \OT *** 1/cmr/m/it/10 bounded[]linear blinfun[]mult[]right[] *** *** Overfull \hbox (23.08356pt too wide) in paragraph at lines 2103--2105 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 bounded[]linear[]blinfun[]mult[]lef *** t$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 bounded[]linear$\OT1/cmr/m/n/10 ]$$:$ \OT1 *** /cmr/m/it/10 bounded[]linear blinfun[]mult[]left[] *** [490]) (./Derivative.tex *** Overfull \hbox (7.90033pt too wide) in paragraph at lines 15--16 *** [][]\OT1/cmr/bx/n/10 imports \OT1/cmr/m/it/10 Brouwer[]Fixpoint Operator[]Norm *** Uniform[]Limit Bounded[]Linear[]Function[] *** [491] [492] [493] [494] [495] [496] [497] [498] [499] [500] [501] [502] *** [503] [504] [505] [506] *** Overfull \hbox (9.14139pt too wide) in paragraph at lines 5832--5833 *** [][] \OT1/cmr/bx/n/10 as-sumes \OT1/cmr/m/it/10 D$\OT1/cmr/m/n/10 :$ $($\OT1/c *** mr/m/it/10 f has[]vector[]derivative f$ [] $$\OT1/cmr/m/n/10 )$ $($\OT1/cmr/m/i *** t/10 at x within cbox a b$\OT1/cmr/m/n/10 )$ $($\OT1/cmr/m/it/10 f has[]vector[ *** ]derivative *** [507] [508] *** Overfull \hbox (11.1738pt too wide) in paragraph at lines 6490--6492 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 exp[]scaleR[]has[]vector[]derivativ *** e[]left$\OT1/cmr/m/n/10 :$ $($$($$\OML/cmm/m/it/10 ^^U$\OT1/cmr/m/it/10 t$\OML/ *** cmm/m/it/10 :$ \OT1/cmr/m/it/10 exp $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 t $\OMS *** /cmsy/m/n/10 ^^C$$[][]$ \OT1/cmr/m/it/10 A$\OT1/cmr/m/n/10 )$$)$ \OT1/cmr/m/it/ *** 10 has[]vector[]derivative *** [509]) (./Integration.tex *** Overfull \hbox (64.6788pt too wide) in paragraph at lines 31--34 *** [][] \OT1/cmr/m/it/10 scaleR[]cancel[]left scaleR[]cancel[]right scaleR[]add[] *** right scaleR[]add[]left real[]vector[]class$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 *** scaleR[]one *** [510] [511] [512] *** Overfull \hbox (6.31519pt too wide) in paragraph at lines 1028--1029 *** [][] \OT1/cmr/bx/n/10 shows \OT1/cmr/m/it/10 interval[]upperbound $\OT1/cmr/m/ *** n/10 ($\OT1/cmr/m/it/10 A $\OMS/cmsy/m/n/10 ^^B$ \OT1/cmr/m/it/10 B$\OT1/cmr/m/ *** n/10 )$ $=$ $($\OT1/cmr/m/it/10 interval[]upperbound A$\OML/cmm/m/it/10 ;$ \OT1 *** /cmr/m/it/10 interval[]upperbound *** *** Overfull \hbox (4.01524pt too wide) in paragraph at lines 1073--1074 *** [][] \OT1/cmr/bx/n/10 shows \OT1/cmr/m/it/10 interval[]lowerbound $\OT1/cmr/m/ *** n/10 ($\OT1/cmr/m/it/10 A $\OMS/cmsy/m/n/10 ^^B$ \OT1/cmr/m/it/10 B$\OT1/cmr/m/ *** n/10 )$ $=$ $($\OT1/cmr/m/it/10 interval[]lowerbound A$\OML/cmm/m/it/10 ;$ \OT1 *** /cmr/m/it/10 interval[]lowerbound *** *** Overfull \hbox (1.63889pt too wide) in paragraph at lines 1119--1120 *** [][] $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 if s $\OT1/cmr/m/n/10 =$ $\OMS/cmsy/m *** /n/10 f$$g$ \OT1/cmr/m/it/10 then 0 else $\OT1/cmr/m/n/10 ($$[] $\OT1/cmr/m/it/ *** 10 i$\OMS/cmsy/m/n/10 2$\OT1/cmr/m/it/10 Basis$\OML/cmm/m/it/10 :$ $\OT1/cmr/m/ *** n/10 ($\OT1/cmr/m/it/10 interval[]upperbound s$\OT1/cmr/m/n/10 )$$[]$\OT1/cmr/m *** /it/10 i $\OMS/cmsy/m/n/10 ^^@$ $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 interval[]l *** owerbound *** [513] [514] [515] [516] [517] [518] [519] [520] *** Overfull \hbox (24.27pt too wide) in paragraph at lines 4403--4405 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 tagged[]division[]of[]self[]real$\O *** T1/cmr/m/n/10 :$ \OT1/cmr/m/it/10 x $\OMS/cmsy/m/n/10 2$ $f$\OT1/cmr/m/it/10 a *** $\OML/cmm/m/it/10 :$$:$ \OT1/cmr/m/it/10 b$\OT1/cmr/m/n/10 :$$:$\OT1/cmr/m/it/1 *** 0 real$\OMS/cmsy/m/n/10 g$ $\OT1/cmr/m/n/10 =[]\OMS/cmsy/m/n/10 )$ $f$$\OT1/cmr *** /m/n/10 ($\OT1/cmr/m/it/10 x$\OML/cmm/m/it/10 ;$$\OMS/cmsy/m/n/10 f$\OT1/cmr/m/ *** it/10 a $\OML/cmm/m/it/10 :$$:$ \OT1/cmr/m/it/10 b$\OMS/cmsy/m/n/10 g$$\OT1/cmr *** /m/n/10 )$$\OMS/cmsy/m/n/10 g$ \OT1/cmr/m/it/10 tagged[]division[]of *** [521] *** Overfull \hbox (6.48795pt too wide) in paragraph at lines 4785--4786 *** \OT1/cmr/bx/n/10 definition \OT1/cmr/m/it/10 has[]integral[]compact[]interval $ *** \OT1/cmr/m/n/10 ($\OT1/cmr/bx/n/10 infixr \OT1/cmr/m/it/10 has$ [] $[]integral$ *** [] $[]compact$ [] $[]interval 46$\OT1/cmr/m/n/10 )$[] *** [522] [523] [524] [525] [526] [527] [528] [529] [530] [531] [532] [533] *** [534] [535] [536] [537] [538] [539] [540] [541] [542] [543] [544] [545] *** Overfull \hbox (1.46878pt too wide) in paragraph at lines 14605--14606 *** [][] \OT1/cmr/bx/n/10 shows \OT1/cmr/m/it/10 op-er-a-tive op $\OMS/cmsy/m/n/10 *** ^$ $\OT1/cmr/m/n/10 ($$\OML/cmm/m/it/10 ^^U$\OT1/cmr/m/it/10 i$\OML/cmm/m/it/1 *** 0 :$ $\OMS/cmsy/m/n/10 9 $\OT1/cmr/m/it/10 g$\OML/cmm/m/it/10 :$ $\OT1/cmr/m/n/ *** 10 ($$\OMS/cmsy/m/n/10 8 $\OT1/cmr/m/it/10 x$\OMS/cmsy/m/n/10 2$\OT1/cmr/m/it/1 *** 0 i$\OML/cmm/m/it/10 :$ \OT1/cmr/m/it/10 norm $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/ *** 10 f x $\OMS/cmsy/m/n/10 ^^@$ \OT1/cmr/m/it/10 g $\OT1/cmr/m/n/10 ($\OT1/cmr/m/ *** it/10 x$\OT1/cmr/m/n/10 :$$:$$ [] $\OT1/cmr/m/it/10 b$\OT1/cmr/m/n/10 )$$)$ $\O *** MS/cmsy/m/n/10 ^^T$ \OT1/cmr/m/it/10 e$\OT1/cmr/m/n/10 )$ $\OMS/cmsy/m/n/10 ^$ *** \OT1/cmr/m/it/10 g integrable[]on *** [546] [547] [548] [549] [550] [551] [552] [553] *** Overfull \hbox (2.49168pt too wide) in paragraph at lines 19094--19094 *** []\OT1/cmr/bx/n/12 Stronger form with fi-nite num-ber of ex-cep-tional points. *** *** [554] *** Overfull \hbox (1.56528pt too wide) in paragraph at lines 20009--20009 *** []\OT1/cmr/bx/n/12 This doesn't di-rectly in-volve in-te-gra-tion, but that giv *** es *** [555] [556] [557] [558] [559] [560] [561] [562] [563] [564] [565] [566] *** [567] [568] [569] [570] [571] [572] [573] [574]) *** (./Cartesian_Euclidean_Space.tex [575] [576] [577] *** Overfull \hbox (2.57007pt too wide) in paragraph at lines 816--832 *** [][]\OT1/cmr/bx/n/10 instance \OT1/cmr/m/it/10 vec $\OT1/cmr/m/n/10 :$$:$ $($\O *** T1/cmr/m/it/10 cancel[]comm[]monoid[]add$\OML/cmm/m/it/10 ;$ \OT1/cmr/m/it/10 f *** i-nite$\OT1/cmr/m/n/10 )$ \OT1/cmr/m/it/10 cancel[]comm[]monoid[]add $\OMS/cmsy *** /m/n/10 h[]i$[] *** [578] [579] [580] [581] [582] [583] [584] [585] [586] *** Overfull \hbox (5.08203pt too wide) in paragraph at lines 3542--3543 *** [][] $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 x$\OT1/cmr/m/n/10 :$$:$\OT1/cmr/m/it/ *** 10 real^$ [] $n$\OT1/cmr/m/n/10 )$ $[]$ \OT1/cmr/m/it/10 y $\OT1/cmr/m/n/10 =$ *** $($$($$($\OT1/cmr/m/it/10 rowvector x $\OT1/cmr/m/n/10 :$$:$\OT1/cmr/m/it/10 re *** al^$ [] $n^1$\OT1/cmr/m/n/10 )$ $\OMS/cmsy/m/n/10 ^^C$$^^C$ $\OT1/cmr/m/n/10 ($ *** \OT1/cmr/m/it/10 columnvector y $\OT1/cmr/m/n/10 :$$:$ \OT1/cmr/m/it/10 real^1^ *** $ [] $n$\OT1/cmr/m/n/10 )$$)$$$$\OT1/cmr/m/it/10 1$\OT1/cmr/m/n/10 )$$$$\OT1/cm *** r/m/it/10 1[] *** [587] [588] [589] [590] *** Overfull \hbox (3.76495pt too wide) in paragraph at lines 4593--4595 *** [][]\OT1/cmr/bx/n/10 declare \OT1/cmr/m/it/10 vector[]add[]ldistrib$\OT1/cmr/m/ *** n/10 [$\OT1/cmr/m/it/10 simp$\OT1/cmr/m/n/10 ]$ \OT1/cmr/m/it/10 vector[]ssub[] *** ldistrib$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 simp$\OT1/cmr/m/n/10 ]$ \OT1/cmr/m/ *** it/10 vector[]smult[]assoc$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 simp$\OT1/cmr/m/n *** /10 ]$ *** *** Overfull \hbox (8.99329pt too wide) in paragraph at lines 4598--4600 *** [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 vector[]component[]simps $\OT1/cmr *** /m/n/10 =$ \OT1/cmr/m/it/10 vector[]minus[]component vector[]smult[]component *** [591] *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 4765. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 4765. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 4765. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 4765. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 4765. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 4765. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `math shift' on input line 4765. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `math shift' on input line 4765. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `math shift' on input line 4765. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\mathord' on input line 4765. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `math shift' on input line 4765. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `math shift' on input line 4765. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `math shift' on input line 4765. *** *** [592] [593]) (./Fashoda.tex [594] [595] [596]) (./Extended_Nonnegative_Real.tex *** *** Overfull \hbox (87.9338pt too wide) in paragraph at lines 47--48 *** [][] \OT1/cmr/bx/n/10 fixes \OT1/cmr/m/it/10 c $\OT1/cmr/m/n/10 :$$:$ $ [] $\O *** T1/cmr/m/it/10 a$\OT1/cmr/m/n/10 :$$:$$\OMS/cmsy/m/n/10 f$\OT1/cmr/m/it/10 comp *** lete[]linorder$\OML/cmm/m/it/10 ;$ \OT1/cmr/m/it/10 linorder[]topology$\OML/cmm *** /m/it/10 ;$ \OT1/cmr/m/it/10 topological[]monoid[]add$\OML/cmm/m/it/10 ;$ \OT1/ *** cmr/m/it/10 ordered[]ab[]semigroup[]add$\OMS/cmsy/m/n/10 g$[] *** *** Overfull \hbox (87.9338pt too wide) in paragraph at lines 68--69 *** [][] \OT1/cmr/bx/n/10 fixes \OT1/cmr/m/it/10 c $\OT1/cmr/m/n/10 :$$:$ $ [] $\O *** T1/cmr/m/it/10 a$\OT1/cmr/m/n/10 :$$:$$\OMS/cmsy/m/n/10 f$\OT1/cmr/m/it/10 comp *** lete[]linorder$\OML/cmm/m/it/10 ;$ \OT1/cmr/m/it/10 linorder[]topology$\OML/cmm *** /m/it/10 ;$ \OT1/cmr/m/it/10 topological[]monoid[]add$\OML/cmm/m/it/10 ;$ \OT1/ *** cmr/m/it/10 ordered[]ab[]semigroup[]add$\OMS/cmsy/m/n/10 g$[] *** *** Overfull \hbox (87.9338pt too wide) in paragraph at lines 89--90 *** [][] \OT1/cmr/bx/n/10 fixes \OT1/cmr/m/it/10 c $\OT1/cmr/m/n/10 :$$:$ $ [] $\O *** T1/cmr/m/it/10 a$\OT1/cmr/m/n/10 :$$:$$\OMS/cmsy/m/n/10 f$\OT1/cmr/m/it/10 comp *** lete[]linorder$\OML/cmm/m/it/10 ;$ \OT1/cmr/m/it/10 linorder[]topology$\OML/cmm *** /m/it/10 ;$ \OT1/cmr/m/it/10 topological[]monoid[]add$\OML/cmm/m/it/10 ;$ \OT1/ *** cmr/m/it/10 ordered[]ab[]semigroup[]add$\OMS/cmsy/m/n/10 g$[] *** [597] [598] *** Overfull \hbox (1.06487pt too wide) in paragraph at lines 637--638 *** [][] \OT1/cmr/m/it/10 i $\OML/cmm/m/it/10 <$ \OT1/cmr/m/it/10 j $\OT1/cmr/m/n/ *** 10 =[]\OMS/cmsy/m/n/10 )$ \OT1/cmr/m/it/10 of[]nat i $\OML/cmm/m/it/10 <$ $\OT1 *** /cmr/m/n/10 ($\OT1/cmr/m/it/10 of[]nat j$\OT1/cmr/m/n/10 :$$:$$ [] $\OT1/cmr/m/ *** it/10 a$\OT1/cmr/m/n/10 :$$:$$\OMS/cmsy/m/n/10 f$\OT1/cmr/m/it/10 linordered[]n *** onzero[]semiring$\OML/cmm/m/it/10 ;$ \OT1/cmr/m/it/10 semiring[]char[]0$\OMS/cm *** sy/m/n/10 g$$\OT1/cmr/m/n/10 )$[] *** [599] [600] [601] [602] [603] [604] [605] [606] [607] [608] *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 3407. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing 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removing `\sfcode' on input line 3407. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 3407. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 3407. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 3407. *** *** [609] [610] [611] *** Overfull \hbox (1.13765pt too wide) in paragraph at lines 4175--4177 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 numeral[]mult[]ennreal$\OT1/cmr/m/n *** /10 :$ \OT1/cmr/m/it/10 0 $\OMS/cmsy/m/n/10 ^^T$ \OT1/cmr/m/it/10 x $\OT1/cmr/m *** /n/10 =[]\OMS/cmsy/m/n/10 )$ \OT1/cmr/m/it/10 nu-meral b $\OMS/cmsy/m/n/10 ^^C$ *** \OT1/cmr/m/it/10 en-nreal x $\OT1/cmr/m/n/10 =$ \OT1/cmr/m/it/10 en-nreal $\OT *** 1/cmr/m/n/10 ($\OT1/cmr/m/it/10 numeral *** [612] *** *** Package hyperref Warning: Token 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*** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 4721. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 4721. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 4721. *** *** [614] *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 4988. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 4988. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 4988. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 4988. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 4988. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 4988. *** *** [615] *** Overfull \hbox (10.95374pt too wide) in paragraph at lines 5316--5317 *** [][] \OT1/cmr/m/it/10 rel[]fun $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 op $\OT1/cm *** r/m/n/10 =$$)$ $($\OT1/cmr/m/it/10 rel[]fun $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 *** rel[]fun op $\OT1/cmr/m/n/10 =$ \OT1/cmr/m/it/10 pcr[]ennreal$\OT1/cmr/m/n/10 *** )$ \OT1/cmr/m/it/10 op $\OT1/cmr/m/n/10 =$$)$ \OT1/cmr/m/it/10 continuous[]on c *** ontinuous[]on[] *** [616] *** Overfull \hbox (1.1558pt too wide) in paragraph at lines 5691--5693 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 transfer[]e2ennreal[]suminf $\OT1/c *** mr/m/n/10 [$\OT1/cmr/m/it/10 transfer[]rule$\OT1/cmr/m/n/10 ]$$:$ \OT1/cmr/m/it *** /10 rel[]fun $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 rel[]fun op $\OT1/cmr/m/n/10 = *** $ \OT1/cmr/m/it/10 pcr[]ennreal$\OT1/cmr/m/n/10 )$ *** [617] [618] [619] [620] [621] *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 6994. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 6994. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 6994. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 6994. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 6994. *** *** *** Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): *** (hyperref) removing `\sfcode' on input line 6994. *** *** [622] [623] [624]) (./Extended_Real_Limits.tex [625] *** Overfull \hbox (16.66754pt too wide) in paragraph at lines 31--32 *** [][] \OT1/cmr/m/it/10 com-pact $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 UNIV $\OT1/ *** cmr/m/n/10 :$$:$ $ [] $\OT1/cmr/m/it/10 a$\OT1/cmr/m/n/10 :$$:$$\OMS/cmsy/m/n/1 *** 0 f$\OT1/cmr/m/it/10 complete[]linorder$\OML/cmm/m/it/10 ;$\OT1/cmr/m/it/10 lin *** order[]topology$\OML/cmm/m/it/10 ;$\OT1/cmr/m/it/10 second[]countable[]topology *** $\OMS/cmsy/m/n/10 g$ *** [626] [627] [628]) (./Multiset.tex [629] [630] [631] [632] [633] [634] [635] *** [636] [637] [638] [639] [640] [641] [642] *** Overfull \hbox (7.00906pt too wide) in paragraph at lines 3133--3135 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 filter[]diff[]mset $\OT1/cmr/m/n/10 *** [$\OT1/cmr/m/it/10 simp$\OT1/cmr/m/n/10 ]$$:$ \OT1/cmr/m/it/10 filter[]mset P *** $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 M $\OMS/cmsy/m/n/10 ^^@$ \OT1/cmr/m/it/10 N *** $\OT1/cmr/m/n/10 )$ $=$ \OT1/cmr/m/it/10 filter[]mset P M $\OMS/cmsy/m/n/10 ^^@ *** $ \OT1/cmr/m/it/10 filter[]mset *** [643] [644] [645] [646] [647] [648] [649] [650] [651] [652] *** Overfull \hbox (9.91783pt too wide) in paragraph at lines 5995--5997 *** [][]\OT1/cmr/bx/n/10 declare \OT1/cmr/m/it/10 comp[]fun[]commute$\OML/cmm/m/it/ *** 10 :$\OT1/cmr/m/it/10 fold[]mset[]insert$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF *** comp[]fun[]commute[]plus[]mset$\OML/cmm/m/it/10 ;$ \OT1/cmr/m/it/10 simp$\OT1/c *** mr/m/n/10 ]$[] *** [653] [654] [655] [656] [657] [658] [659] [660] *** Overfull \hbox (14.2642pt too wide) in paragraph at lines 8181--8183 *** [][]\OT1/cmr/bx/n/10 interpretation \OT1/cmr/m/it/10 multiset[]order$\OT1/cmr/m *** /n/10 :$ \OT1/cmr/m/it/10 ordered[]ab[]semigroup[]add plus le[]multiset less[]m *** ultiset[] *** [661] [662] [663] [664] *** Overfull \hbox (5.43213pt too wide) in paragraph at lines 9425--9426 *** [][] \OT1/cmr/m/it/10 full[]exhaustive[]multiset f i $\OT1/cmr/m/n/10 =$ \OT1/ *** cmr/m/it/10 Quickcheck[]Exhaustive$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 full[]ex *** haustive $\OT1/cmr/m/n/10 ($$\OML/cmm/m/it/10 ^^U$\OT1/cmr/m/it/10 xs$\OML/cmm/ *** m/it/10 :$ \OT1/cmr/m/it/10 f $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 msetify *** [665] [666] [667]) (./Permutations.tex [668] [669] [670] [671] [672] [673] *** [674] *** Overfull \hbox (2.11256pt too wide) in paragraph at lines 2380--2380 *** []\OT1/cmr/bx/n/12 Hence a sort of in-duc-tion prin-ci-ple com-pos-ing by swaps *** *** [675] [676] [677] [678] [679] *** Overfull \hbox (2.42465pt too wide) in paragraph at lines 3937--3938 *** [][] \OT1/cmr/m/it/10 x $\OMS/cmsy/m/n/10 6\OT1/cmr/m/n/10 =$ \OT1/cmr/m/it/10 *** x$ [] $ $\OT1/cmr/m/n/10 =[]\OMS/cmsy/m/n/10 )$ \OT1/cmr/m/it/10 inverse[]perm *** utation[]of[]list $\OT1/cmr/m/n/10 ($$($\OT1/cmr/m/it/10 y$ [] $$\OML/cmm/m/it/ *** 10 ;$\OT1/cmr/m/it/10 x$ [] $$\OT1/cmr/m/n/10 )$$#$\OT1/cmr/m/it/10 xs$\OT1/cmr *** /m/n/10 )$ \OT1/cmr/m/it/10 x $\OT1/cmr/m/n/10 =$ \OT1/cmr/m/it/10 inverse[]per *** mutation[]of[]list *** ) (./Determinants.tex [680] *** Overfull \hbox (10.46631pt too wide) in paragraph at lines 105--107 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 trace[]mul[]sym$\OT1/cmr/m/n/10 :$ *** \OT1/cmr/m/it/10 trace $\OT1/cmr/m/n/10 ($$($\OT1/cmr/m/it/10 A$\OT1/cmr/m/n/10 *** :$$:$$ [] $\OT1/cmr/m/it/10 a$\OT1/cmr/m/n/10 :$$:$\OT1/cmr/m/it/10 comm[]semi *** ring[]1^$ [] $n^$ [] $m$\OT1/cmr/m/n/10 )$ $\OMS/cmsy/m/n/10 ^^C$$^^C$ \OT1/cmr *** /m/it/10 B$\OT1/cmr/m/n/10 )$ $=$ \OT1/cmr/m/it/10 trace $\OT1/cmr/m/n/10 ($\OT *** 1/cmr/m/it/10 B$\OMS/cmsy/m/n/10 ^^C$$^^C$\OT1/cmr/m/it/10 A$\OT1/cmr/m/n/10 )$ *** [] *** [681] [682] [683] [684] [685] [686]) (./Product_Order.tex [687] [688] [689] *** [690] [691] *** Overfull \hbox (25.68623pt too wide) in paragraph at lines 1009--1010 *** \OT1/cmr/bx/n/10 instance \OT1/cmr/m/it/10 prod $\OT1/cmr/m/n/10 :$$:$ $($\OT1/ *** cmr/m/it/10 complete[]distrib[]lattice$\OML/cmm/m/it/10 ;$ \OT1/cmr/m/it/10 com *** plete[]distrib[]lattice$\OT1/cmr/m/n/10 )$ \OT1/cmr/m/it/10 complete[]distrib[] *** lattice[] *** ) (./Ordered_Euclidean_Space.tex *** Overfull \hbox (13.93407pt too wide) in paragraph at lines 26--27 *** \OT1/cmr/bx/n/10 class \OT1/cmr/m/it/10 ordered[]euclidean[]space $\OT1/cmr/m/n *** /10 =$ \OT1/cmr/m/it/10 ord $\OT1/cmr/m/n/10 +$ \OT1/cmr/m/it/10 inf $\OT1/cmr/ *** m/n/10 +$ \OT1/cmr/m/it/10 sup $\OT1/cmr/m/n/10 +$ \OT1/cmr/m/it/10 abs $\OT1/c *** mr/m/n/10 +$ \OT1/cmr/m/it/10 Inf $\OT1/cmr/m/n/10 +$ \OT1/cmr/m/it/10 Sup $\OT *** 1/cmr/m/n/10 +$ \OT1/cmr/m/it/10 euclidean[]space *** [692] [693] *** Overfull \hbox (34.50276pt too wide) in paragraph at lines 564--566 *** [][]\OT1/cmr/bx/n/10 instance \OT1/cmr/m/it/10 prod $\OT1/cmr/m/n/10 :$$:$ $($\ *** OT1/cmr/m/it/10 ordered[]euclidean[]space$\OML/cmm/m/it/10 ;$ \OT1/cmr/m/it/10 *** ordered[]euclidean[]space$\OT1/cmr/m/n/10 )$ \OT1/cmr/m/it/10 ordered[]euclidea *** n[]space[] *** [694] [695] [696]) (./Bounded_Continuous_Function.tex [697] [698] [699] *** Overfull \hbox (3.63957pt too wide) in paragraph at lines 935--937 *** [][]\OT1/cmr/bx/n/10 instantiation \OT1/cmr/m/it/10 bcon-t-fun $\OT1/cmr/m/n/10 *** :$$:$ $($\OT1/cmr/m/it/10 topological[]space$\OML/cmm/m/it/10 ;$ \OT1/cmr/m/it *** /10 real[]normed[]vector$\OT1/cmr/m/n/10 )$ \OT1/cmr/m/it/10 real[]normed[]vect *** or[] *** [700] [701]) (./Weierstrass.tex *** Overfull \hbox (17.92143pt too wide) in paragraph at lines 6--6 *** []\OT1/cmr/bx/n/14.4 The Bernstein-Weierstrass and Stone-Weierstrass *** [702] [703] [704] *** Overfull \hbox (5.91832pt too wide) in paragraph at lines 2011--2012 *** \OT1/cmr/bx/n/10 inductive \OT1/cmr/m/it/10 real[]polynomial[]function $\OT1/cm *** r/m/n/10 :$$:$ $($$ [] $\OT1/cmr/m/it/10 a$\OT1/cmr/m/n/10 :$$:$\OT1/cmr/m/it/1 *** 0 real[]normed[]vector $\OMS/cmsy/m/n/10 )$ \OT1/cmr/m/it/10 real$\OT1/cmr/m/n/ *** 10 )$ $\OMS/cmsy/m/n/10 )$ \OT1/cmr/m/it/10 bool \OT1/cmr/bx/n/10 where[] *** *** Overfull \hbox (42.85197pt too wide) in paragraph at lines 2014--2015 *** [][] $\OMS/cmsy/m/n/10 j$ \OT1/cmr/m/it/10 add$\OT1/cmr/m/n/10 :$ $[]$\OT1/c *** mr/m/it/10 real[]polynomial[]function f$\OT1/cmr/m/n/10 ;$ \OT1/cmr/m/it/10 rea *** l[]polynomial[]function g$[]$ $\OT1/cmr/m/n/10 =[]\OMS/cmsy/m/n/10 )$ \OT1/cmr/ *** m/it/10 real[]polynomial[]function *** *** Overfull \hbox (44.30055pt too wide) in paragraph at lines 2015--2016 *** [][] $\OMS/cmsy/m/n/10 j$ \OT1/cmr/m/it/10 mult$\OT1/cmr/m/n/10 :$ $[]$\OT1/c *** mr/m/it/10 real[]polynomial[]function f$\OT1/cmr/m/n/10 ;$ \OT1/cmr/m/it/10 rea *** l[]polynomial[]function g$[]$ $\OT1/cmr/m/n/10 =[]\OMS/cmsy/m/n/10 )$ \OT1/cmr/ *** m/it/10 real[]polynomial[]function *** *** Overfull \hbox (2.18694pt too wide) in paragraph at lines 2020--2022 *** [][]\OT1/cmr/bx/n/10 definition \OT1/cmr/m/it/10 polynomial[]function $\OT1/cmr *** /m/n/10 :$$:$ $($$ [] $\OT1/cmr/m/it/10 a$\OT1/cmr/m/n/10 :$$:$\OT1/cmr/m/it/10 *** real[]normed[]vector $\OMS/cmsy/m/n/10 )$ $ [] $\OT1/cmr/m/it/10 b$\OT1/cmr/m/ *** n/10 :$$:$\OT1/cmr/m/it/10 real[]normed[]vector$\OT1/cmr/m/n/10 )$ *** *** Overfull \hbox (11.89139pt too wide) in paragraph at lines 2025--2027 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 real[]polynomial[]function[]eq$\OT1 *** /cmr/m/n/10 :$ \OT1/cmr/m/it/10 real[]polynomial[]function p $\OT1/cmr/m/n/10 = *** $ \OT1/cmr/m/it/10 polynomial[]function *** [705] *** Overfull \hbox (15.81873pt too wide) in paragraph at lines 2303--2304 *** [][] $[]$\OT1/cmr/m/it/10 real[]polynomial[]function f$\OT1/cmr/m/n/10 ;$ \O *** T1/cmr/m/it/10 real[]polynomial[]function g$[]$ $\OT1/cmr/m/n/10 =[]\OMS/cmsy/m *** /n/10 )$ \OT1/cmr/m/it/10 real[]polynomial[]function *** *** Overfull \hbox (30.3877pt too wide) in paragraph at lines 2324--2325 *** [][] $[]$\OT1/cmr/m/it/10 finite I$\OT1/cmr/m/n/10 ;$ $[]$\OT1/cmr/m/it/10 i *** $\OML/cmm/m/it/10 :$ \OT1/cmr/m/it/10 i $\OMS/cmsy/m/n/10 2$ \OT1/cmr/m/it/10 I *** $\OT1/cmr/m/n/10 =[]\OMS/cmsy/m/n/10 )$ \OT1/cmr/m/it/10 real[]polynomial[]fun *** ction $\OT1/cmr/m/n/10 ($$\OML/cmm/m/it/10 ^^U$\OT1/cmr/m/it/10 x$\OML/cmm/m/it *** /10 :$ \OT1/cmr/m/it/10 f x i$\OT1/cmr/m/n/10 )$$[]$ $=[]\OMS/cmsy/m/n/10 )$ \O *** T1/cmr/m/it/10 real[]polynomial[]function *** [706] [707] [708]) (./Polytope.tex [709] [710] [711] [712] [713] [714] [715] *** [716] [717] [718] [719] [720] [721] *** Overfull \hbox (16.09448pt too wide) in paragraph at lines 4520--4520 *** []\OT1/cmr/bx/n/12 Canonical poly-he-dron rep-re-sen-ta-tion mak-ing fa-cial st *** ruc- *** [722] [723] [724] [725] [726] [727]) (./Nonpos_Ints.tex [728] [729] [730] *** [731] [732]) (./Complex_Analysis_Basics.tex [733] [734] [735] [736] [737] *** Overfull \hbox (5.58376pt too wide) in paragraph at lines 1052--1054 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 field[]differentiable[]linear $\OT1 *** /cmr/m/n/10 [$\OT1/cmr/m/it/10 simp$\OML/cmm/m/it/10 ;$\OT1/cmr/m/it/10 derivat *** ive[]intros$\OT1/cmr/m/n/10 ]$$:$ $($\OT1/cmr/m/it/10 op $\OMS/cmsy/m/n/10 ^^C$ *** \OT1/cmr/m/it/10 c$\OT1/cmr/m/n/10 )$ \OT1/cmr/m/it/10 field[]differentiable *** [738] [739] *** Overfull \hbox (15.16153pt too wide) in paragraph at lines 1484--1486 *** [][]\OT1/cmr/bx/n/10 named[]theorems \OT1/cmr/m/it/10 holomorphic[]intros struc *** -tural in-tro-duc-tion rules for holomorphic[]on[] *** *** Overfull \hbox (9.49261pt too wide) in paragraph at lines 1505--1507 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 holomorphic[]onD $\OT1/cmr/m/n/10 [ *** $\OT1/cmr/m/it/10 dest?$\OT1/cmr/m/n/10 ]$$:$ $[]$\OT1/cmr/m/it/10 f holomorphi *** c[]on s$\OT1/cmr/m/n/10 ;$ \OT1/cmr/m/it/10 x $\OMS/cmsy/m/n/10 2$ \OT1/cmr/m/i *** t/10 s$[]$ $\OT1/cmr/m/n/10 =[]\OMS/cmsy/m/n/10 )$ \OT1/cmr/m/it/10 f field[]di *** fferentiable *** [740] *** Overfull \hbox (11.62375pt too wide) in paragraph at lines 1638--1640 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 holomorphic[]cong$\OT1/cmr/m/n/10 : *** $ \OT1/cmr/m/it/10 s $\OT1/cmr/m/n/10 =$ \OT1/cmr/m/it/10 t $\OT1/cmr/m/n/10 =$ *** $=$$\OML/cmm/m/it/10 >$ $\OT1/cmr/m/n/10 ($$[]$\OT1/cmr/m/it/10 x$\OML/cmm/m/it *** /10 :$ \OT1/cmr/m/it/10 x $\OMS/cmsy/m/n/10 2$ \OT1/cmr/m/it/10 s $\OT1/cmr/m/n *** /10 =[]\OMS/cmsy/m/n/10 )$ \OT1/cmr/m/it/10 f x $\OT1/cmr/m/n/10 =$ \OT1/cmr/m/ *** it/10 g x$\OT1/cmr/m/n/10 )$ $=[]\OMS/cmsy/m/n/10 )$ \OT1/cmr/m/it/10 f holomor *** phic[]on *** *** Overfull \hbox (2.2846pt too wide) in paragraph at lines 1755--1756 *** [][] \OT1/cmr/m/it/10 f holomorphic[]on s $\OT1/cmr/m/n/10 =[]\OMS/cmsy/m/n/10 *** )$ \OT1/cmr/m/it/10 g holomorphic[]on t $\OT1/cmr/m/n/10 =[]\OMS/cmsy/m/n/10 ) *** $ \OT1/cmr/m/it/10 f ` s $\OMS/cmsy/m/n/10 ^^R$ \OT1/cmr/m/it/10 t $\OT1/cmr/m/ *** n/10 =[]\OMS/cmsy/m/n/10 )$ $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 g o f$\OT1/cmr/ *** m/n/10 )$ \OT1/cmr/m/it/10 holomorphic[]on *** [741] *** Overfull \hbox (5.49875pt too wide) in paragraph at lines 1912--1913 *** [][] $\OT1/cmr/m/n/10 ($$[]$\OT1/cmr/m/it/10 i$\OML/cmm/m/it/10 :$ \OT1/cmr/m/ *** it/10 i $\OMS/cmsy/m/n/10 2$ \OT1/cmr/m/it/10 I $\OT1/cmr/m/n/10 =[]\OMS/cmsy/m *** /n/10 )$ $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 f i$\OT1/cmr/m/n/10 )$ \OT1/cmr/m/ *** it/10 holomorphic[]on s$\OT1/cmr/m/n/10 )$ $=[]\OMS/cmsy/m/n/10 )$ $\OT1/cmr/m/ *** n/10 ($$\OML/cmm/m/it/10 ^^U$\OT1/cmr/m/it/10 x$\OML/cmm/m/it/10 :$ \OT1/cmr/m/ *** it/10 set-sum $\OT1/cmr/m/n/10 ($$\OML/cmm/m/it/10 ^^U$\OT1/cmr/m/it/10 i$\OML/ *** cmm/m/it/10 :$ \OT1/cmr/m/it/10 f i x$\OT1/cmr/m/n/10 )$ \OT1/cmr/m/it/10 I$\OT *** 1/cmr/m/n/10 )$ \OT1/cmr/m/it/10 holomorphic[]on *** [742] [743] [744] [745] [746] [747] [748] *** Overfull \hbox (4.44296pt too wide) in paragraph at lines 3989--3989 *** []\OT1/cmr/bx/n/12 Polynomal func-tion ex-tremal the-o-rem, from HOL Light *** [749]) (./Complex_Transcendental.tex [750] [751] [752] [753] [754] [755] *** Overfull \hbox (4.89769pt too wide) in paragraph at lines 1976--1977 *** []\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 e[]approx[]32$\OT1/cmr/m/n/10 :$ $\OM *** S/cmsy/m/n/10 j$\OT1/cmr/m/it/10 exp$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 1$\OT1/ *** cmr/m/n/10 )$ $\OMS/cmsy/m/n/10 ^^@$ \OT1/cmr/m/it/10 5837465777 $\OML/cmm/m/it *** /10 =$ \OT1/cmr/m/it/10 2147483648$\OMS/cmsy/m/n/10 j$ $^^T$ $\OT1/cmr/m/n/10 ( *** $\OT1/cmr/m/it/10 inverse$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 2 ^ 32$\OT1/cmr/m/ *** n/10 )$$:$$:$\OT1/cmr/m/it/10 real$\OT1/cmr/m/n/10 )$[] *** [756] [757] [758] [759] [760] [761] [762] [763] [764] [765] [766] [767] *** [768] [769] [770] [771] [772] [773] [774] [775] [776] [777] [778] [779]) *** (./Cauchy_Integral_Thm.tex [780] [781] *** Overfull \hbox (19.42682pt too wide) in paragraph at lines 550--551 *** [][] $[]$\OT1/cmr/m/it/10 continuous[]on $\OMS/cmsy/m/n/10 f$\OT1/cmr/m/it/1 *** 0 0$\OML/cmm/m/it/10 :$$:$\OT1/cmr/m/it/10 1$\OMS/cmsy/m/n/10 g$ $\OT1/cmr/m/n/ *** 10 ($\OT1/cmr/m/it/10 g1 $\OT1/cmr/m/n/10 +$$+$$+$ \OT1/cmr/m/it/10 g2$\OT1/cmr *** /m/n/10 )$$;$ \OT1/cmr/m/it/10 pathfin-ish g1 $\OT1/cmr/m/n/10 =$ \OT1/cmr/m/it *** /10 path-start g2$[]$ $\OT1/cmr/m/n/10 =[]\OMS/cmsy/m/n/10 )$ \OT1/cmr/m/it/10 *** continuous[]on *** *** Overfull \hbox (3.10973pt too wide) in paragraph at lines 575--576 *** [][] $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 g1 $\OT1/cmr/m/n/10 +$$+$$+$ \OT1/c *** mr/m/it/10 g2$\OT1/cmr/m/n/10 )$ \OT1/cmr/m/it/10 piecewise[]differentiable[]on *** $\OMS/cmsy/m/n/10 f$\OT1/cmr/m/it/10 0$\OML/cmm/m/it/10 :$$:$\OT1/cmr/m/it/10 *** 1$\OMS/cmsy/m/n/10 g$ $\OT1/cmr/m/n/10 =[]\OMS/cmsy/m/n/10 )$ \OT1/cmr/m/it/10 *** g1 piecewise[]differentiable[]on *** [782] *** Overfull \hbox (19.17336pt too wide) in paragraph at lines 784--786 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 C1[]differentiable[]on[]ident $\OT1 *** /cmr/m/n/10 [$\OT1/cmr/m/it/10 simp$\OML/cmm/m/it/10 ;$ \OT1/cmr/m/it/10 deriva *** tive[]intros$\OT1/cmr/m/n/10 ]$$:$ $($$\OML/cmm/m/it/10 ^^U$\OT1/cmr/m/it/10 x$ *** \OML/cmm/m/it/10 :$ \OT1/cmr/m/it/10 x$\OT1/cmr/m/n/10 )$ \OT1/cmr/m/it/10 C1[] *** differentiable[]on *** *** Overfull \hbox (19.19464pt too wide) in paragraph at lines 802--804 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 C1[]differentiable[]on[]const $\OT1 *** /cmr/m/n/10 [$\OT1/cmr/m/it/10 simp$\OML/cmm/m/it/10 ;$ \OT1/cmr/m/it/10 deriva *** tive[]intros$\OT1/cmr/m/n/10 ]$$:$ $($$\OML/cmm/m/it/10 ^^U$\OT1/cmr/m/it/10 z$ *** \OML/cmm/m/it/10 :$ \OT1/cmr/m/it/10 a$\OT1/cmr/m/n/10 )$ \OT1/cmr/m/it/10 C1[] *** differentiable[]on *** [783] *** Overfull \hbox (38.70761pt too wide) in paragraph at lines 822--823 *** [][] \OT1/cmr/m/it/10 f C1[]differentiable[]on s $\OT1/cmr/m/n/10 =[]\OMS/cmsy *** /m/n/10 )$ \OT1/cmr/m/it/10 g C1[]differentiable[]on s $\OT1/cmr/m/n/10 =[]\OMS *** /cmsy/m/n/10 )$ $\OT1/cmr/m/n/10 ($$\OML/cmm/m/it/10 ^^U$\OT1/cmr/m/it/10 x$\OM *** L/cmm/m/it/10 :$ \OT1/cmr/m/it/10 f x $\OT1/cmr/m/n/10 +$ \OT1/cmr/m/it/10 g x$ *** \OT1/cmr/m/n/10 )$ \OT1/cmr/m/it/10 C1[]differentiable[]on *** *** Overfull \hbox (38.70761pt too wide) in paragraph at lines 862--863 *** [][] \OT1/cmr/m/it/10 f C1[]differentiable[]on s $\OT1/cmr/m/n/10 =[]\OMS/cmsy *** /m/n/10 )$ \OT1/cmr/m/it/10 g C1[]differentiable[]on s $\OT1/cmr/m/n/10 =[]\OMS *** /cmsy/m/n/10 )$ $\OT1/cmr/m/n/10 ($$\OML/cmm/m/it/10 ^^U$\OT1/cmr/m/it/10 x$\OM *** L/cmm/m/it/10 :$ \OT1/cmr/m/it/10 f x $\OMS/cmsy/m/n/10 ^^@$ \OT1/cmr/m/it/10 g *** x$\OT1/cmr/m/n/10 )$ \OT1/cmr/m/it/10 C1[]differentiable[]on *** *** Overfull \hbox (42.48991pt too wide) in paragraph at lines 904--905 *** [][] \OT1/cmr/m/it/10 f C1[]differentiable[]on s $\OT1/cmr/m/n/10 =[]\OMS/cmsy *** /m/n/10 )$ \OT1/cmr/m/it/10 g C1[]differentiable[]on s $\OT1/cmr/m/n/10 =[]\OMS *** /cmsy/m/n/10 )$ $\OT1/cmr/m/n/10 ($$\OML/cmm/m/it/10 ^^U$\OT1/cmr/m/it/10 x$\OM *** L/cmm/m/it/10 :$ \OT1/cmr/m/it/10 f x $\OMS/cmsy/m/n/10 ^^C$$[][]$ \OT1/cmr/m/i *** t/10 g x$\OT1/cmr/m/n/10 )$ \OT1/cmr/m/it/10 C1[]differentiable[]on *** [784] [785] [786] *** Overfull \hbox (24.27315pt too wide) in paragraph at lines 1894--1895 *** [][] \OT1/cmr/bx/n/10 where \OT1/cmr/m/it/10 contour[]integral g f $\OMS/cmsy/ *** m/n/10 ^^Q$ $\OT1/cmr/m/n/10 @$\OT1/cmr/m/it/10 i$\OML/cmm/m/it/10 :$ $\OT1/cmr *** /m/n/10 ($\OT1/cmr/m/it/10 f has[]contour[]integral i$\OT1/cmr/m/n/10 )$ \OT1/c *** mr/m/it/10 g $\OMS/cmsy/m/n/10 _$ $[][]$ \OT1/cmr/m/it/10 f contour[]integrable *** []on *** *** Overfull \hbox (17.79333pt too wide) in paragraph at lines 1896--1898 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 not[]integrable[]contour[]integral$ *** \OT1/cmr/m/n/10 :$ $[][]$ \OT1/cmr/m/it/10 f contour[]integrable[]on g $\OT1/cm *** r/m/n/10 =[]\OMS/cmsy/m/n/10 )$ \OT1/cmr/m/it/10 contour[]integral *** *** Overfull \hbox (46.39131pt too wide) in paragraph at lines 1998--2000 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 has[]contour[]integral[]integrable$ *** \OT1/cmr/m/n/10 :$ $($\OT1/cmr/m/it/10 f has[]contour[]integral i$\OT1/cmr/m/n/ *** 10 )$ \OT1/cmr/m/it/10 g $\OT1/cmr/m/n/10 =[]\OMS/cmsy/m/n/10 )$ \OT1/cmr/m/it/ *** 10 f contour[]integrable[]on *** [787] *** Overfull \hbox (1.92326pt too wide) in paragraph at lines 2295--2296 *** [][] \OT1/cmr/m/it/10 valid[]path g $\OT1/cmr/m/n/10 =[]\OMS/cmsy/m/n/10 )$ *** \OT1/cmr/m/it/10 f contour[]integrable[]on g $\OT1/cmr/m/n/10 =[]\OMS/cmsy/m/n/ *** 10 )$ \OT1/cmr/m/it/10 f contour[]integrable[]on $\OT1/cmr/m/n/10 ($\OT1/cmr/m/ *** it/10 reversepath *** *** Overfull \hbox (11.92328pt too wide) in paragraph at lines 2315--2316 *** [][] \OT1/cmr/m/it/10 valid[]path g $\OT1/cmr/m/n/10 =[]\OMS/cmsy/m/n/10 )$ *** $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 f contour[]integrable[]on $\OT1/cmr/m/n/10 *** ($\OT1/cmr/m/it/10 reversepath g$\OT1/cmr/m/n/10 )$ $\OMS/cmsy/m/n/10 []!$ \OT *** 1/cmr/m/it/10 f contour[]integrable[]on *** [788] [789] [790] [791] [792] [793] [794] *** Overfull \hbox (1.04257pt too wide) in paragraph at lines 4466--4467 *** [][] \OT1/cmr/m/it/10 f contour[]integrable[]on g $\OT1/cmr/m/n/10 =[]\OMS/c *** msy/m/n/10 )$ \OT1/cmr/m/it/10 contour[]integral g $\OT1/cmr/m/n/10 ($$\OML/cmm *** /m/it/10 ^^U$\OT1/cmr/m/it/10 x$\OML/cmm/m/it/10 :$ $\OMS/cmsy/m/n/10 ^^@$$\OT1 *** /cmr/m/n/10 ($\OT1/cmr/m/it/10 f x$\OT1/cmr/m/n/10 )$$)$ $=$ $\OMS/cmsy/m/n/10 *** ^^@$$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 contour[]integral *** [795] [796] [797] [798] *** Overfull \hbox (25.35931pt too wide) in paragraph at lines 5564--5565 *** [][] \OT1/cmr/m/it/10 e $\OMS/cmsy/m/n/10 ^^C$ $\OT1/cmr/m/n/10 ($\OT *** 1/cmr/m/it/10 K$\OML/cmm/m/it/10 =$\OT1/cmr/m/it/10 2$\OT1/cmr/m/n/10 )$\OT1/cm *** r/m/it/10 ^2 $\OMS/cmsy/m/n/10 ^^T$ \OT1/cmr/m/it/10 norm$\OT1/cmr/m/n/10 ($\OT *** 1/cmr/m/it/10 contour[]integral$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 linepath a$ *** [] $ b$ [] $$\OT1/cmr/m/n/10 )$ \OT1/cmr/m/it/10 f $\OT1/cmr/m/n/10 +$ \OT1/cmr *** /m/it/10 contour[]integral$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 linepath *** [799] [800] [801] [802] [803] [804] [805] [806] [807] [808] *** Overfull \hbox (7.53897pt too wide) in paragraph at lines 9383--9385 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 winding[]number[]subpath[]trivial $ *** \OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 simp$\OT1/cmr/m/n/10 ]$$:$ \OT1/cmr/m/it/10 *** z $\OMS/cmsy/m/n/10 6\OT1/cmr/m/n/10 =$ \OT1/cmr/m/it/10 g x $\OT1/cmr/m/n/10 = *** []\OMS/cmsy/m/n/10 )$ \OT1/cmr/m/it/10 winding[]number $\OT1/cmr/m/n/10 ($\OT1/ *** cmr/m/it/10 subpath *** *** Overfull \hbox (3.34676pt too wide) in paragraph at lines 9406--9407 *** [][] \OT1/cmr/bx/n/10 shows \OT1/cmr/m/it/10 winding[]number$\OT1/cmr/m/n/10 *** ($\OT1/cmr/m/it/10 g1 $\OT1/cmr/m/n/10 +$$+$$+$ \OT1/cmr/m/it/10 g2$\OT1/cmr/m *** /n/10 )$ \OT1/cmr/m/it/10 z $\OT1/cmr/m/n/10 =$ \OT1/cmr/m/it/10 winding[]numbe *** r g1 z $\OT1/cmr/m/n/10 +$ \OT1/cmr/m/it/10 winding[]number *** [809] *** Overfull \hbox (47.42738pt too wide) in paragraph at lines 9606--9607 *** [][] $\OT1/cmr/m/n/10 =[]\OMS/cmsy/m/n/10 )$ \OT1/cmr/m/it/10 valid[]path$ *** \OT1/cmr/m/n/10 ($$\OML/cmm/m/it/10 ^^M$\OT1/cmr/m/it/10 1 $\OT1/cmr/m/n/10 +$$ *** +$$+$ $\OML/cmm/m/it/10 ^^M$\OT1/cmr/m/it/10 2$\OT1/cmr/m/n/10 )$ $\OMS/cmsy/m/ *** n/10 ^$ \OT1/cmr/m/it/10 z $[]$ path[]image$\OT1/cmr/m/n/10 ($$\OML/cmm/m/it/10 *** ^^M$\OT1/cmr/m/it/10 1 $\OT1/cmr/m/n/10 +$$+$$+$ $\OML/cmm/m/it/10 ^^M$\OT1/cm *** r/m/it/10 2$\OT1/cmr/m/n/10 )$ $\OMS/cmsy/m/n/10 ^$ \OT1/cmr/m/it/10 0 $\OML/cm *** m/m/it/10 <$ \OT1/cmr/m/it/10 Re$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 winding[]nu *** mber$\OT1/cmr/m/n/10 ($$\OML/cmm/m/it/10 ^^M$\OT1/cmr/m/it/10 1 *** [810] [811] [812] [813] *** Overfull \hbox (21.10118pt too wide) in paragraph at lines 11281--11282 *** [][] \OT1/cmr/bx/n/10 as-sumes $\OML/cmm/m/it/10 ^^M$$\OT1/cmr/m/n/10 :$ \OT *** 1/cmr/m/it/10 valid[]path $\OML/cmm/m/it/10 ^^M$ \OT1/cmr/bx/n/10 and \OT1/cmr/ *** m/it/10 z$\OT1/cmr/m/n/10 :$ \OT1/cmr/m/it/10 z $[]$ path[]image $\OML/cmm/m/it *** /10 ^^M$ \OT1/cmr/bx/n/10 and \OT1/cmr/m/it/10 0 $\OMS/cmsy/m/n/10 ^^T$ \OT1/cm *** r/m/it/10 w w $\OMS/cmsy/m/n/10 ^^T$ \OT1/cmr/m/it/10 Re$\OT1/cmr/m/n/10 ($\OT1 *** /cmr/m/it/10 winding[]number *** *** Overfull \hbox (23.87897pt too wide) in paragraph at lines 11341--11342 *** [][] \OT1/cmr/bx/n/10 as-sumes $\OML/cmm/m/it/10 ^^M$$\OT1/cmr/m/n/10 :$ \OT *** 1/cmr/m/it/10 valid[]path $\OML/cmm/m/it/10 ^^M$ \OT1/cmr/bx/n/10 and \OT1/cmr/ *** m/it/10 z$\OT1/cmr/m/n/10 :$ \OT1/cmr/m/it/10 z $[]$ path[]image $\OML/cmm/m/it *** /10 ^^M$ \OT1/cmr/bx/n/10 and \OT1/cmr/m/it/10 0 $\OMS/cmsy/m/n/10 ^^T$ \OT1/cm *** r/m/it/10 w w $\OMS/cmsy/m/n/10 ^^T$ $j$\OT1/cmr/m/it/10 Re$\OT1/cmr/m/n/10 ($\ *** OT1/cmr/m/it/10 winding[]number *** *** Overfull \hbox (25.84892pt too wide) in paragraph at lines 11574--11576 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 winding[]number[]lt[]half[]linepath *** $\OT1/cmr/m/n/10 :$ \OT1/cmr/m/it/10 z $[]$ closed[]segment a b $\OT1/cmr/m/n/1 *** 0 =[]\OMS/cmsy/m/n/10 )$ $j$\OT1/cmr/m/it/10 Re $\OT1/cmr/m/n/10 ($\OT1/cmr/m/i *** t/10 winding[]number *** [814] [815] [816] [817] [818] [819] [820] *** Overfull \hbox (12.97742pt too wide) in paragraph at lines 14006--14007 *** [][] \OT1/cmr/bx/n/10 shows \OT1/cmr/m/it/10 l contour[]integrable[]on $\OML/c *** mm/m/it/10 ^^M$ $\OT1/cmr/m/n/10 ($$($$\OML/cmm/m/it/10 ^^U$\OT1/cmr/m/it/10 n$ *** \OML/cmm/m/it/10 :$ \OT1/cmr/m/it/10 contour[]integral $\OML/cmm/m/it/10 ^^M$ $ *** \OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 f n$\OT1/cmr/m/n/10 )$$)$ $[]$ \OT1/cmr/m/it *** /10 contour[]integral *** [821] *** Overfull \hbox (20.77435pt too wide) in paragraph at lines 14199--14200 *** [][] \OT1/cmr/bx/n/10 and \OT1/cmr/m/it/10 int$\OT1/cmr/m/n/10 :$ $[]$\OT1 *** /cmr/m/it/10 w$\OML/cmm/m/it/10 :$ \OT1/cmr/m/it/10 w $\OMS/cmsy/m/n/10 2$ \OT1 *** /cmr/m/it/10 s $\OMS/cmsy/m/n/10 ^^@$ \OT1/cmr/m/it/10 path[]image $\OML/cmm/m/ *** it/10 ^^M$ $\OT1/cmr/m/n/10 =[]\OMS/cmsy/m/n/10 )$ $\OT1/cmr/m/n/10 ($$($$\OML/ *** cmm/m/it/10 ^^U$\OT1/cmr/m/it/10 u$\OML/cmm/m/it/10 :$ \OT1/cmr/m/it/10 f$ [] $ *** u $\OML/cmm/m/it/10 =$ $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 u $\OMS/cmsy/m/n/10 *** ^^@$ \OT1/cmr/m/it/10 w$\OT1/cmr/m/n/10 )$\OT1/cmr/m/it/10 ^k$\OT1/cmr/m/n/10 *** )$ \OT1/cmr/m/it/10 has[]contour[]integral *** [822] [823] [824] [825] [826] *** Overfull \hbox (0.9402pt too wide) in paragraph at lines 16033--16033 *** []\OT1/cmr/bx/n/12 A holo-mor-phic func-tion is an-a-lytic, i.e. has lo-cal pow *** er *** *** Overfull \hbox (11.27356pt too wide) in paragraph at lines 16502--16503 *** [][] \OT1/cmr/bx/n/10 as-sumes \OT1/cmr/m/it/10 cont$\OT1/cmr/m/n/10 :$ \OT1/c *** mr/m/it/10 even-tu-ally $\OT1/cmr/m/n/10 ($$\OML/cmm/m/it/10 ^^U$\OT1/cmr/m/it/ *** 10 n$\OML/cmm/m/it/10 :$ \OT1/cmr/m/it/10 continuous[]on $\OT1/cmr/m/n/10 ($\OT *** 1/cmr/m/it/10 cball z r$\OT1/cmr/m/n/10 )$ $($\OT1/cmr/m/it/10 f n$\OT1/cmr/m/n *** /10 )$ $\OMS/cmsy/m/n/10 ^$ $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 f n$\OT1/cmr/m/ *** n/10 )$ \OT1/cmr/m/it/10 holomorphic[]on *** [827] *** Overfull \hbox (5.05003pt too wide) in paragraph at lines 16809--16809 *** []\OT1/cmr/bx/n/12 Some more sim-ple/convenient ver-sions for ap-pli-ca-tions. *** *** [828] [829] [830] [831] [832]) (./Conformal_Mappings.tex *** Overfull \hbox (11.74294pt too wide) in paragraph at lines 6--6 *** []\OT1/cmr/bx/n/14.4 Conformal Map-pings. Con-se-quences of Cauchy's *** [833] [834] [835] [836] [837] [838] [839] [840] [841] [842] [843] [844] *** [845]) (./Generalised_Binomial_Theorem.tex [846] [847]) (./Integral_Test.tex *** [848] *** Overfull \hbox (1.2478pt too wide) in paragraph at lines 41--43 *** [][]\OT1/cmr/bx/n/10 definition \OT1/cmr/m/it/10 sum[]integral[]diff[]series n *** $\OT1/cmr/m/n/10 =$ $($$[] $\OT1/cmr/m/it/10 k$\OMS/cmsy/m/n/10 ^^T$\OT1/cmr/m/ *** it/10 n$\OML/cmm/m/it/10 :$ \OT1/cmr/m/it/10 f $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it *** /10 of[]nat k$\OT1/cmr/m/n/10 )$$)$ $\OMS/cmsy/m/n/10 ^^@$ $\OT1/cmr/m/n/10 ($\ *** OT1/cmr/m/it/10 integral $\OMS/cmsy/m/n/10 f$\OT1/cmr/m/it/10 0$\OML/cmm/m/it/1 *** 0 :$$:$\OT1/cmr/m/it/10 of[]nat *** ) (./Harmonic_Numbers.tex [849] *** Overfull \hbox (9.42612pt too wide) in paragraph at lines 151--153 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 harm[]pos$\OT1/cmr/m/n/10 :$ \OT1/c *** mr/m/it/10 n $\OML/cmm/m/it/10 >$ \OT1/cmr/m/it/10 0 $\OT1/cmr/m/n/10 =[]\OMS/c *** msy/m/n/10 )$ \OT1/cmr/m/it/10 harm n $\OML/cmm/m/it/10 >$ $\OT1/cmr/m/n/10 ($\ *** OT1/cmr/m/it/10 0 $\OT1/cmr/m/n/10 :$$:$ $ [] $\OT1/cmr/m/it/10 a $\OT1/cmr/m/n *** /10 :$$:$ $\OMS/cmsy/m/n/10 f$\OT1/cmr/m/it/10 real[]normed[]field$\OML/cmm/m/i *** t/10 ;$\OT1/cmr/m/it/10 linordered[]field$\OMS/cmsy/m/n/10 g$$\OT1/cmr/m/n/10 ) *** $[] *** *** Overfull \hbox (5.72197pt too wide) in paragraph at lines 290--292 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 harm[]pos[]iff $\OT1/cmr/m/n/10 [$\ *** OT1/cmr/m/it/10 simp$\OT1/cmr/m/n/10 ]$$:$ \OT1/cmr/m/it/10 harm n $\OML/cmm/m/ *** it/10 >$ $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 0 $\OT1/cmr/m/n/10 :$$:$ $ [] $\OT *** 1/cmr/m/it/10 a $\OT1/cmr/m/n/10 :$$:$ $\OMS/cmsy/m/n/10 f$\OT1/cmr/m/it/10 rea *** l[]normed[]field$\OML/cmm/m/it/10 ;$\OT1/cmr/m/it/10 linordered[]field$\OMS/cms *** y/m/n/10 g$$\OT1/cmr/m/n/10 )$ *** [850] *** Overfull \hbox (8.12233pt too wide) in paragraph at lines 405--407 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 of[]real[]euler[]mascheroni $\OT1/c *** mr/m/n/10 [$\OT1/cmr/m/it/10 simp$\OT1/cmr/m/n/10 ]$$:$ \OT1/cmr/m/it/10 of[]re *** al euler[]mascheroni $\OT1/cmr/m/n/10 =$ \OT1/cmr/m/it/10 euler[]mascheroni[] *** [851] *** Overfull \hbox (13.10413pt too wide) in paragraph at lines 1275--1276 *** [][] \OT1/cmr/bx/n/10 shows \OT1/cmr/m/it/10 in-verse $\OT1/cmr/m/n/10 ($\OT1/ *** cmr/m/it/10 2$\OMS/cmsy/m/n/10 ^^C$\OT1/cmr/m/it/10 y^$\OT1/cmr/m/n/10 ($\OT1/c *** mr/m/it/10 2$\OMS/cmsy/m/n/10 ^^C$\OT1/cmr/m/it/10 n$\OT1/cmr/m/n/10 +$\OT1/cmr *** /m/it/10 1$\OT1/cmr/m/n/10 )$$)$ $\OMS/cmsy/m/n/10 ^^C$ $\OT1/cmr/m/n/10 ($\OT1 *** /cmr/m/it/10 ln x $\OMS/cmsy/m/n/10 ^^@$ $\OT1/cmr/m/n/10 ($$[] $\OT1/cmr/m/it/ *** 10 k$\OML/cmm/m/it/10 <$\OT1/cmr/m/it/10 n$\OML/cmm/m/it/10 :$ \OT1/cmr/m/it/10 *** 2$\OMS/cmsy/m/n/10 ^^C$\OT1/cmr/m/it/10 y^$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 *** 2$\OMS/cmsy/m/n/10 ^^C$\OT1/cmr/m/it/10 k$\OT1/cmr/m/n/10 +$\OT1/cmr/m/it/10 1$ *** \OT1/cmr/m/n/10 )$ $\OML/cmm/m/it/10 =$ \OT1/cmr/m/it/10 of[]nat $\OT1/cmr/m/n/ *** 10 ($\OT1/cmr/m/it/10 2$\OMS/cmsy/m/n/10 ^^C$\OT1/cmr/m/it/10 k$\OT1/cmr/m/n/10 *** +$\OT1/cmr/m/it/10 1$\OT1/cmr/m/n/10 )$$)$$)$ *** [852]) (./Periodic_Fun.tex [853] [854] *** Overfull \hbox (34.6196pt too wide) in paragraph at lines 434--436 *** [][]\OT1/cmr/bx/n/10 interpretation \OT1/cmr/m/it/10 sin$\OT1/cmr/m/n/10 :$ \OT *** 1/cmr/m/it/10 periodic[]fun[]simple sin 2 $\OMS/cmsy/m/n/10 ^^C$ \OT1/cmr/m/it/ *** 10 of[]real pi $\OT1/cmr/m/n/10 :$$:$ $ [] $\OT1/cmr/m/it/10 a $\OT1/cmr/m/n/10 *** :$$:$ $\OMS/cmsy/m/n/10 f$\OT1/cmr/m/it/10 real[]normed[]field$\OML/cmm/m/it/1 *** 0 ;$\OT1/cmr/m/it/10 banach$\OMS/cmsy/m/n/10 g$[] *** *** Overfull \hbox (35.69543pt too wide) in paragraph at lines 467--469 *** [][]\OT1/cmr/bx/n/10 interpretation \OT1/cmr/m/it/10 cos$\OT1/cmr/m/n/10 :$ \OT *** 1/cmr/m/it/10 periodic[]fun[]simple cos 2 $\OMS/cmsy/m/n/10 ^^C$ \OT1/cmr/m/it/ *** 10 of[]real pi $\OT1/cmr/m/n/10 :$$:$ $ [] $\OT1/cmr/m/it/10 a $\OT1/cmr/m/n/10 *** :$$:$ $\OMS/cmsy/m/n/10 f$\OT1/cmr/m/it/10 real[]normed[]field$\OML/cmm/m/it/1 *** 0 ;$\OT1/cmr/m/it/10 banach$\OMS/cmsy/m/n/10 g$[] *** *** Overfull \hbox (37.17511pt too wide) in paragraph at lines 500--502 *** [][]\OT1/cmr/bx/n/10 interpretation \OT1/cmr/m/it/10 tan$\OT1/cmr/m/n/10 :$ \OT *** 1/cmr/m/it/10 periodic[]fun[]simple tan 2 $\OMS/cmsy/m/n/10 ^^C$ \OT1/cmr/m/it/ *** 10 of[]real pi $\OT1/cmr/m/n/10 :$$:$ $ [] $\OT1/cmr/m/it/10 a $\OT1/cmr/m/n/10 *** :$$:$ $\OMS/cmsy/m/n/10 f$\OT1/cmr/m/it/10 real[]normed[]field$\OML/cmm/m/it/1 *** 0 ;$\OT1/cmr/m/it/10 banach$\OMS/cmsy/m/n/10 g$[] *** *** Overfull \hbox (34.28987pt too wide) in paragraph at lines 518--520 *** [][]\OT1/cmr/bx/n/10 interpretation \OT1/cmr/m/it/10 cot$\OT1/cmr/m/n/10 :$ \OT *** 1/cmr/m/it/10 periodic[]fun[]simple cot 2 $\OMS/cmsy/m/n/10 ^^C$ \OT1/cmr/m/it/ *** 10 of[]real pi $\OT1/cmr/m/n/10 :$$:$ $ [] $\OT1/cmr/m/it/10 a $\OT1/cmr/m/n/10 *** :$$:$ $\OMS/cmsy/m/n/10 f$\OT1/cmr/m/it/10 real[]normed[]field$\OML/cmm/m/it/1 *** 0 ;$\OT1/cmr/m/it/10 banach$\OMS/cmsy/m/n/10 g$[] *** ) (./Gamma.tex [855] [856] [857] *** Overfull \hbox (11.00113pt too wide) in paragraph at lines 838--840 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 rGamma[]series[]nonpos[]Ints[]LIMSE *** Q$\OT1/cmr/m/n/10 :$ \OT1/cmr/m/it/10 z $\OMS/cmsy/m/n/10 2$ $\OT1/cmss/m/n/10 *** ZZ$$[][]$$[][]$ $\OT1/cmr/m/n/10 =[]\OMS/cmsy/m/n/10 )$ \OT1/cmr/m/it/10 rGamma *** []series z $[]$ *** [858] *** Overfull \hbox (2.56787pt too wide) in paragraph at lines 856--858 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 Gamma[]series[]nonpos[]Ints[]LIMSEQ *** $\OT1/cmr/m/n/10 :$ \OT1/cmr/m/it/10 z $\OMS/cmsy/m/n/10 2$ $\OT1/cmss/m/n/10 Z *** Z$$[][]$$[][]$ $\OT1/cmr/m/n/10 =[]\OMS/cmsy/m/n/10 )$ \OT1/cmr/m/it/10 Gamma[] *** series z $[]$ *** *** Overfull \hbox (9.82062pt too wide) in paragraph at lines 874--876 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 Gamma[]series$ [] $[]nonpos[]Ints[] *** LIMSEQ$\OT1/cmr/m/n/10 :$ \OT1/cmr/m/it/10 z $\OMS/cmsy/m/n/10 2$ $\OT1/cmss/m/ *** n/10 ZZ$$[][]$$[][]$ $\OT1/cmr/m/n/10 =[]\OMS/cmsy/m/n/10 )$ \OT1/cmr/m/it/10 G *** amma[]series$ [] $ z $[]$ *** *** Overfull \hbox (192.88437pt too wide) in paragraph at lines 980--984 *** \OT1/cmr/m/n/10.95 that the se-ries is lo-cally Cauchy, adapt-ing this proof: h *** ttp://math.stackexchange.com/questions/887158/convergence- *** [859] [860] [861] *** Overfull \hbox (28.81004pt too wide) in paragraph at lines 2159--2161 *** [][]\OT1/cmr/bx/n/10 declare \OT1/cmr/m/it/10 has[]field[]derivative[]ln[]Gamma *** []complex$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 THEN DERIV[]chain2$\OML/cmm/m/it/1 *** 0 ;$ \OT1/cmr/m/it/10 derivative[]intros$\OT1/cmr/m/n/10 ]$[] *** *** Overfull \hbox (38.1545pt too wide) in paragraph at lines 2284--2285 *** [][] \OT1/cmr/m/it/10 Digamma $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 of[]nat $\OT *** 1/cmr/m/n/10 ($\OT1/cmr/m/it/10 Suc n$\OT1/cmr/m/n/10 )$ $:$$:$ $ [] $\OT1/cmr/ *** m/it/10 a $\OT1/cmr/m/n/10 :$$:$ $\OMS/cmsy/m/n/10 f$\OT1/cmr/m/it/10 real[]nor *** med[]field$\OML/cmm/m/it/10 ;$\OT1/cmr/m/it/10 banach$\OMS/cmsy/m/n/10 g$$\OT1/ *** cmr/m/n/10 )$ $=$ \OT1/cmr/m/it/10 harm n $\OMS/cmsy/m/n/10 ^^@$ \OT1/cmr/m/it/ *** 10 euler[]mascheroni[] *** *** Overfull \hbox (13.28471pt too wide) in paragraph at lines 2344--2346 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 Polygamma[]of[]real$\OT1/cmr/m/n/10 *** :$ \OT1/cmr/m/it/10 x $\OMS/cmsy/m/n/10 6\OT1/cmr/m/n/10 =$ \OT1/cmr/m/it/10 0 *** $\OT1/cmr/m/n/10 =[]\OMS/cmsy/m/n/10 )$ \OT1/cmr/m/it/10 Polygamma n $\OT1/cmr *** /m/n/10 ($\OT1/cmr/m/it/10 of[]real x$\OT1/cmr/m/n/10 )$ $=$ \OT1/cmr/m/it/10 o *** f[]real $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 Polygamma *** [862] *** Overfull \hbox (70.84229pt too wide) in paragraph at lines 2694--2695 *** [][] \OT1/cmr/m/it/10 A $\OMS/cmsy/m/n/10 \$ $\OT1/cmss/m/n/10 ZZ$$[][]$$[][]$ *** $\OT1/cmr/m/n/10 =$ $\OMS/cmsy/m/n/10 f$$g$ $\OT1/cmr/m/n/10 =[]\OMS/cmsy/m/n/ *** 10 )$ \OT1/cmr/m/it/10 continuous[]on A $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 Pol *** ygamma n $\OT1/cmr/m/n/10 :$$:$ [] $\OMS/cmsy/m/n/10 )$ $ [] $\OT1/cmr/m/it/10 *** a $\OT1/cmr/m/n/10 :$$:$ $\OMS/cmsy/m/n/10 f$\OT1/cmr/m/it/10 real[]normed[]fie *** ld$\OML/cmm/m/it/10 ;$\OT1/cmr/m/it/10 euclidean[]space$\OMS/cmsy/m/n/10 g$$\OT *** 1/cmr/m/n/10 )$[] *** [863] [864] [865] *** Overfull \hbox (49.34325pt too wide) in paragraph at lines 3462--3464 *** [][]\OT1/cmr/bx/n/10 declare \OT1/cmr/m/it/10 has[]field[]derivative[]rGamma[]n *** o[]nonpos[]int $\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 THEN DERIV[]chain2$\OML/cmm/ *** m/it/10 ;$ \OT1/cmr/m/it/10 derivative[]intros$\OT1/cmr/m/n/10 ]$[] *** *** Overfull \hbox (38.79736pt too wide) in paragraph at lines 3499--3501 *** [][]\OT1/cmr/bx/n/10 hide[]fact \OT1/cmr/m/it/10 rGamma[]eq[]zero[]iff[]aux dif *** ferentiable[]rGamma[]aux1 differentiable[]rGamma[]aux2[] *** *** Overfull \hbox (43.4238pt too wide) in paragraph at lines 3501--3504 *** [][] \OT1/cmr/m/it/10 differentiable[]rGamma[]aux2 rGamma[]series[]aux *** Gamma[]class$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 rGamma[]eq[]zero[]iff[]aux *** *** Overfull \hbox (8.73087pt too wide) in paragraph at lines 3523--3525 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 continuous[]on[]Gamma $\OT1/cmr/m/n *** /10 [$\OT1/cmr/m/it/10 continuous[]intros$\OT1/cmr/m/n/10 ]$$:$ \OT1/cmr/m/it/1 *** 0 A $\OMS/cmsy/m/n/10 \$ $\OT1/cmss/m/n/10 ZZ$$[][]$$[][]$ $\OT1/cmr/m/n/10 =$ *** $\OMS/cmsy/m/n/10 f$$g$ $\OT1/cmr/m/n/10 =[]\OMS/cmsy/m/n/10 )$ \OT1/cmr/m/it/1 *** 0 continuous[]on *** [866] [867] *** Overfull \hbox (24.07675pt too wide) in paragraph at lines 4244--4246 *** [][]\OT1/cmr/bx/n/10 declare \OT1/cmr/m/it/10 has[]field[]derivative[]rGamma[]c *** omplex$ [] $$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 THEN DERIV[]chain2$\OML/cmm/m/i *** t/10 ;$ \OT1/cmr/m/it/10 derivative[]intros$\OT1/cmr/m/n/10 ]$[] *** *** Overfull \hbox (14.95726pt too wide) in paragraph at lines 4271--4273 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 holomorphic[]on[]Polygamma$\OT1/cmr *** /m/n/10 :$ \OT1/cmr/m/it/10 A $\OMS/cmsy/m/n/10 \$ $\OT1/cmss/m/n/10 ZZ$$[][]$$ *** [][]$ $\OT1/cmr/m/n/10 =$ $\OMS/cmsy/m/n/10 f$$g$ $\OT1/cmr/m/n/10 =[]\OMS/cmsy *** /m/n/10 )$ \OT1/cmr/m/it/10 Polygamma n holomorphic[]on *** *** Overfull \hbox (11.2327pt too wide) in paragraph at lines 4313--4314 *** [][] \OT1/cmr/m/it/10 even-tu-ally $\OT1/cmr/m/n/10 ($$\OML/cmm/m/it/10 ^^U$\O *** T1/cmr/m/it/10 n$\OML/cmm/m/it/10 :$ \OT1/cmr/m/it/10 rGamma[]series x n $\OT1/ *** cmr/m/n/10 =$ \OT1/cmr/m/it/10 Re $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 rGamma[]s *** eries $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 of[]real x$\OT1/cmr/m/n/10 )$ \OT1/cm *** r/m/it/10 n$\OT1/cmr/m/n/10 )$$)$ \OT1/cmr/m/it/10 sequentially[] *** [868] *** Overfull \hbox (23.76073pt too wide) in paragraph at lines 4496--4498 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 Gamma[]complex[]of[]real$\OT1/cmr/m *** /n/10 :$ \OT1/cmr/m/it/10 Gamma $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 complex[]of *** []real x$\OT1/cmr/m/n/10 )$ $=$ \OT1/cmr/m/it/10 complex[]of[]real $\OT1/cmr/m/ *** n/10 ($\OT1/cmr/m/it/10 Gamma *** *** Overfull \hbox (28.2728pt too wide) in paragraph at lines 4574--4575 *** [][] \OT1/cmr/m/it/10 x $\OML/cmm/m/it/10 >$ \OT1/cmr/m/it/10 0 $\OT1/cmr/m/n/ *** 10 =[]\OMS/cmsy/m/n/10 )$ \OT1/cmr/m/it/10 n $\OML/cmm/m/it/10 >$ \OT1/cmr/m/it *** /10 0 $\OT1/cmr/m/n/10 =[]\OMS/cmsy/m/n/10 )$ \OT1/cmr/m/it/10 ln[]Gamma[]serie *** s $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 complex[]of[]real x$\OT1/cmr/m/n/10 )$ \O *** T1/cmr/m/it/10 n $\OT1/cmr/m/n/10 =$ \OT1/cmr/m/it/10 of[]real $\OT1/cmr/m/n/10 *** ($\OT1/cmr/m/it/10 ln[]Gamma[]series *** [869] *** Overfull \hbox (9.81708pt too wide) in paragraph at lines 4787--4789 *** [][]\OT1/cmr/bx/n/10 declare \OT1/cmr/m/it/10 has[]field[]derivative[]ln[]Gamma *** []real$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 THEN DERIV[]chain2$\OML/cmm/m/it/10 ; *** $ \OT1/cmr/m/it/10 derivative[]intros$\OT1/cmr/m/n/10 ]$[] *** *** Overfull \hbox (5.08379pt too wide) in paragraph at lines 4812--4814 *** [][]\OT1/cmr/bx/n/10 declare \OT1/cmr/m/it/10 has[]field[]derivative[]rGamma[]r *** eal$ [] $$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 THEN DERIV[]chain2$\OML/cmm/m/it/1 *** 0 ;$ \OT1/cmr/m/it/10 derivative[]intros$\OT1/cmr/m/n/10 ]$[] *** [870] [871] [872] [873] *** Overfull \hbox (9.64084pt too wide) in paragraph at lines 7308--7310 *** [][]\OT1/cmr/bx/n/10 lemma \OT1/cmr/m/it/10 rGamma[]weierstrass[]complex$\OT1/c *** mr/m/n/10 :$ \OT1/cmr/m/it/10 rGamma[]series[]weierstrass z $[]$ rGamma *** [874] [875]) (./Multivariate_Analysis.tex) (./PolyRoots.tex [876] [877] *** [878])) [879] (./root.aux) *** *** Package rerunfilecheck Warning: File `root.out' has changed. *** (rerunfilecheck) Rerun to get outlines right *** (rerunfilecheck) or use package `bookmark'. *** *** *** LaTeX Font Warning: Some font shapes were not available, defaults substituted. *** *** ) *** (see the transcript file for additional information) *** Output written on root.pdf (879 pages, 1880076 bytes). *** Transcript written on root.log. *** Document preparation failure in directory '/media/data/jenkins/workspace/afp-repo-afp/browser_info/HOL/HOL-Multivariate_Analysis/outline' *** *** Failed to build document "/media/data/jenkins/workspace/afp-repo-afp/browser_info/HOL/HOL-Multivariate_Analysis/outline.pdf"