Session.name = MFMC_Countable Loading theory "Bourbaki_Witt_Fixpoint" loading_theory = Bourbaki_Witt_Fixpoint Loading theory "Transitive_Closure_Table" loading_theory = Transitive_Closure_Table command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=293name=theoryelapsed=0.083 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=139name=theoryelapsed=0.084 Proofs for inductive predicate(s) "rtrancl_path" Proving monotonicity ... Proving the introduction rules ... Proving the elimination rules ... Proving the induction rule ... Proving the simplification rules ... command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=535name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=191name=inductiveelapsed=0.059 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=1301name=lemmaelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=483name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=613name=haveelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=679name=showelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=922name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=1723name=lemmaelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=2778name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=1503name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=762name=obtainelapsed=0.020 locale bourbaki_witt_fixpoint = fixes lub :: "'a set \ 'a" and leq :: "('a \ 'a) set" and f :: "'a \ 'a" assumes "bourbaki_witt_fixpoint lub leq f" command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=1028name=localeelapsed=0.090 Proofs for inductive predicate(s) "rtrancl_tab" command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=762name=obtainelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=1555name=haveelapsed=0.018 Proving monotonicity ... Proving the introduction rules ... Proving the elimination rules ... Proving the induction rule ... Proving the simplification rules ... Proofs for inductive predicate(s) "iterates_abovep" command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=822name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=1618name=haveelapsed=0.019 Proving monotonicity ... command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=4479name=inductiveelapsed=0.058 Proving the introduction rules ... Proving the elimination rules ... Proving the induction rule ... command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=900name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=1699name=showelapsed=0.013 Proving the simplification rules ... command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=4697name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=995name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=1930name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=995name=obtainelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=6452name=code_predelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=1980name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=1047name=showelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=1980name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=3024name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=2059name=haveelapsed=0.020 ML_statistics = :now=1462972144.59tasks_ready=28tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=0size_allocation=615514112size_allocation_free=57561616size_heap=615514112size_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=6.204time_GC=0user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=2153name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=2205name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=4939name=showelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=2271name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=5016name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=1771name=inductive_setelapsed=0.200 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=5058name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=2332name=obtainelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=2016name=definitionelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=5116name=haveelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=2332name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=2414name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=5172name=ultimatelyelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=2986name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=5183name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=5490name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=5264name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=5539name=showelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=4934name=lemmaelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=6520name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=6110name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=6355name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=1103name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=3118name=showelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=1158name=nextelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=3153name=nextelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=8739name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=1221name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=3182name=haveelapsed=0.019 ### theory "Bourbaki_Witt_Fixpoint" ### 0.642s elapsed time, 2.476s cpu time, 0.000s GC time command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=3281name=obtainelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=5038name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=2317name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=3281name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=5087name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=2545name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=3367name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=5162name=byelapsed=0.035 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=2889name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=2549name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=3222name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=3773name=thuselapsed=0.020 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=2635name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=3281name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=2701name=showelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=3813name=thuselapsed=0.017 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=3340name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=3854name=showelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=5747name=obtainelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=3399name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=5747name=obtainelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=5259name=obtainelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=3573name=finallyelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=5847name=obtainelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=5259name=obtainelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=5326name=haveelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=3581name=showelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=5847name=obtainelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=5393name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=5971name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=6177name=obtainelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=6044name=showelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=5992name=thuselapsed=0.014 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=6177name=obtainelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=6543name=proofelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=6271name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=6028name=haveelapsed=0.017 ML_statistics = :now=1462972145.09tasks_ready=44tasks_pending=0tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=0size_allocation=1401946112size_allocation_free=176940528size_heap=1401946112size_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=7.956time_GC=0user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=6590name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=6334name=thuselapsed=0.016 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=7733name=henceelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=6630name=thuselapsed=0.019 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=7853name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=8533name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=6452name=code_predelapsed=0.615 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=6746name=henceelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=7931name=haveelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=8653name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=7984name=ultimatelyelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=6823name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=7995name=showelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=9006name=showelapsed=0.016 ### theory "Transitive_Closure_Table" ### 0.992s elapsed time, 4.080s cpu time, 0.000s GC time command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=3431name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=3926name=obtainelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=5477name=fixelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=3530name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=3926name=obtainelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=5525name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=3966name=haveelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=3640name=haveelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=3688name=showelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=4166name=showelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=6093name=fixelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=3782name=nextelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=4189name=nextelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=6149name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=4227name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=3825name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=6215name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=4902name=thuselapsed=0.017 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=3917name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=6263name=ultimatelyelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=6653name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=3917name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=3438name=byelapsed=0.148 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=6274name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=6613name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=4070name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=6739name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=6976name=thuselapsed=0.019 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=7094name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=4150name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=6867name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=9112name=haveelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=4249name=haveelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=7264name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=9152name=showelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=6898name=nextelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=4314name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=3589name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=9194name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=6921name=thuselapsed=0.018 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=4377name=showelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=5689name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=3989name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=7016name=nextelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=5715name=nextelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=4304name=fixelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=7046name=henceelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=5767name=henceelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=4361name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=7099name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=6987name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=5862name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Transitive_Closure_Table.thyoffset=4358name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=9254name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=7241name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=5938name=finallyelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=6946name=byelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=5946name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=7374name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=4470name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=4470name=obtainelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=7497name=ultimatelyelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=4513name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=4601name=showelapsed=0.017 ML_statistics = :now=1462972145.59tasks_ready=0tasks_pending=0tasks_running=3tasks_passive=0tasks_urgent=0workers_total=8workers_active=3workers_waiting=0full_GCs=0partial_GCs=0size_allocation=2087714816size_allocation_free=312034712size_heap=2087714816size_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=9.828time_GC=0user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=7508name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=4614name=byelapsed=0.126 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=4662name=nextelapsed=0.132 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=7519name=byelapsed=0.134 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=4748name=haveelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=4839name=ultimatelyelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Bourbaki_Witt_Fixpoint.thyoffset=4850name=showelapsed=0.017 Loading theory "Lattice_Syntax" (required by "Rel_PMF_Characterisation" via "Max_Flow_Min_Cut_Countable" via "MFMC_Misc" via "Complete_Partial_Order2") loading_theory = Lattice_Syntax ### theory "Lattice_Syntax" ### 0.010s elapsed time, 0.020s cpu time, 0.000s GC time Loading theory "Complete_Partial_Order2" (required by "Rel_PMF_Characterisation" via "Max_Flow_Min_Cut_Countable" via "MFMC_Misc") loading_theory = Complete_Partial_Order2 ML_statistics = :now=1462972146.16tasks_ready=0tasks_pending=3tasks_running=1tasks_passive=0tasks_urgent=0workers_total=8workers_active=1workers_waiting=0full_GCs=0partial_GCs=1size_allocation=2097152000size_allocation_free=1559858632size_heap=2117074944size_heap_free_last_full_GC=0size_heap_free_last_GC=2098950128threads_in_ML=2threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=11.632time_GC=0.112user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=196name=theoryelapsed=0.240 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=1017name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=1345name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=1507name=byelapsed=0.019 class ccpo = Sup + order + assumes "ccpo_Sup_upper": "\A x. \Complete_Partial_Order.chain op \ A; x \ A\ \ x \ \A" assumes "ccpo_Sup_least": "\A z. \Complete_Partial_Order.chain op \ A; \x. x \ A \ x \ z\ \ \A \ z" command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=1542name=contextelapsed=0.055 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=2304name=lemmaelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=1647name=byelapsed=0.054 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=2557name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=3136name=contextelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=2695name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=3530name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=2793name=fixelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=3669name=fixelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=4210name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=5781name=lemmaelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=2841name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=4342name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=3707name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=2841name=obtainelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=6420name=lemmaelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=4501name=showelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=3707name=obtainelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=2934name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=3802name=haveelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=5378name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=2991name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=3846name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=10664name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=6171name=fixelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=3086name=finallyelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=3939name=finallyelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=11840name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=3947name=showelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=3094name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=6205name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=12192name=definitionelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=6205name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=6745name=showelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=4566name=fixelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=12422name=definitionelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=6271name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=6843name=haveelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=4621name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=6971name=haveelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=6341name=henceelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=4621name=obtainelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=7569name=haveelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=6392name=finallyelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=4696name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=6400name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=7697name=haveelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=5342name=finallyelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=8301name=haveelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=5350name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=9890name=thuselapsed=0.020 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=8929name=haveelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=5443name=fixelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=12674name=named_theoremselapsed=0.109 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=9583name=ultimatelyelapsed=0.016 val cont_intro_tac = fn: Proof.context -> int -> tactic val cont_intro_simproc = fn: Proof.context -> cterm -> thm option command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=12743name=MLelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=9594name=showelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=11078name=letelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=5491name=obtainelapsed=0.021 ML_statistics = :now=1462972146.66tasks_ready=17tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=1size_allocation=2097152000size_allocation_free=772079120size_heap=2117074944size_heap_free_last_full_GC=0size_heap_free_last_GC=2098950128threads_in_ML=5threads_total=11threads_wait_condvar=4threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=13.076time_GC=0.112user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=11139name=haveelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=5491name=obtainelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=14164name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=7080name=fixelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=11305name=fixelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=5585name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=7172name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=5665name=haveelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=11332name=showelapsed=0.018 class preorder = ord + assumes "less_le_not_le": "\x y. (x < y) = (x \ y \ \ y \ x)" and "order_refl": "\x. x \ x" and "order_trans": "\x y z. \x \ y; y \ z\ \ x \ z" command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=14739name=contextelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=7818name=fixelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=4775name=fixelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=5739name=finallyelapsed=0.017 locale partial_function_definitions = fixes leq :: "'a \ 'a \ bool" and lub :: "'a set \ 'a" assumes "partial_function_definitions leq lub" command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=5747name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=4820name=obtainelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=7851name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=8353name=fixelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=4820name=obtainelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=9979name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=4964name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=10047name=haveelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=8404name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=10129name=haveelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=5009name=henceelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=8404name=obtainelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=8473name=haveelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=10208name=finallyelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=5160name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=10216name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=8884name=finallyelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=5215name=haveelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=17513name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=8994name=fixelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=8892name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=5290name=finallyelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=5298name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=9053name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=14382name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=9053name=obtainelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=7236name=fixelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=11457name=fixelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=9130name=haveelapsed=0.017 class ccpo = Sup + order + assumes "ccpo_Sup_upper": "\A x. \Complete_Partial_Order.chain op \ A; x \ A\ \ x \ \A" assumes "ccpo_Sup_least": "\A z. \Complete_Partial_Order.chain op \ A; \x. x \ A \ x \ z\ \ \A \ z" command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=18115name=contextelapsed=0.054 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=7278name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=9549name=finallyelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=11509name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=7278name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=9557name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=11509name=obtainelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=7344name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=11578name=haveelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=18381name=lemmaelapsed=0.036 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=7960name=fixelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=7421name=haveelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=11692name=haveelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=11795name=finallyelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=7523name=finallyelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=8012name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=19216name=lemmaelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=7531name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=11803name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=8012name=obtainelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=19490name=lemmaelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=8079name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=19669name=contextelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=8157name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=19776name=lemmaelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=8245name=finallyelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=20267name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=8253name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=20477name=lemmaelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=8551name=fixelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=8595name=obtainelapsed=0.025 ML_statistics = :now=1462972147.16tasks_ready=35tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=1size_allocation=2371878912size_allocation_free=306066096size_heap=2391801856size_heap_free_last_full_GC=0size_heap_free_last_GC=2098950128threads_in_ML=5threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=15.076time_GC=0.112user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=16876name=byelapsed=0.120 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=20809name=lemmaelapsed=0.029 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=8595name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=17052name=byelapsed=0.129 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=8662name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=22641name=contextelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=22916name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=8767name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=8845name=finallyelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=23131name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=8853name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=23462name=lemmaselapsed=0.011 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=17844name=byelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=23598name=lemmaselapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=23766name=lemmaselapsed=0.024 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=23955name=lemmaselapsed=0.010 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=24045name=lemmaselapsed=0.012 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=24183name=lemmaselapsed=0.019 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=24353name=lemmaselapsed=0.023 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=17460name=byelapsed=0.221 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=24549name=lemmaelapsed=0.036 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=9196name=fixelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=9248name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=9248name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=9315name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=9424name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=24850name=lemmaelapsed=0.090 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=18043name=byelapsed=0.248 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=9510name=finallyelapsed=0.018 locale partial_function_definitions = fixes leq :: "'a \ 'a \ bool" and lub :: "'a set \ 'a" assumes "partial_function_definitions leq lub" command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=9518name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=28147name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=18847name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=18957name=ultimatelyelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=28903name=lemmaselapsed=0.011 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=20134name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=18968name=showelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=29397name=lemmaselapsed=0.012 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=29522name=lemmaelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=21273name=letelapsed=0.024 ML_statistics = :now=1462972147.67tasks_ready=18tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=1size_allocation=3071279104size_allocation_free=496482344size_heap=3091202048size_heap_free_last_full_GC=0size_heap_free_last_GC=2098950128threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=16.6time_GC=0.112user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=21334name=haveelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=29852name=lemmaelapsed=0.031 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=21506name=fixelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=30431name=lemmaelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=30862name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=21537name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=31075name=lemmaelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=22049name=nextelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=22058name=fixelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=31680name=lemmaelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=22148name=fixelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=31943name=corollaryelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=22185name=henceelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=32167name=lemmaelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=17688name=byelapsed=0.639 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=22294name=haveelapsed=0.028 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=22495name=ultimatelyelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=24789name=byelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=22506name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=25311name=interpretelapsed=0.022 class ccpo = Sup + order + assumes "ccpo_Sup_upper": "\A x. \Complete_Partial_Order.chain op \ A; x \ A\ \ x \ \A" assumes "ccpo_Sup_least": "\A z. \Complete_Partial_Order.chain op \ A; \x. x \ A \ x \ z\ \ \A \ z" command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=32392name=contextelapsed=0.092 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=32412name=lemmaelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=19028name=byelapsed=0.037 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=20426name=byelapsed=0.324 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=20187name=byelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=30669name=applyelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=21668name=fixelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=33478name=lemmaelapsed=0.044 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=31454name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=21724name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=21724name=obtainelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=25311name=interpretelapsed=0.145 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=21810name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=25359name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=21908name=haveelapsed=0.020 class ccpo = Sup + order + assumes "ccpo_Sup_upper": "\A x. \Complete_Partial_Order.chain op \ A; x \ A\ \ x \ \A" assumes "ccpo_Sup_least": "\A z. \Complete_Partial_Order.chain op \ A; \x. x \ A \ x \ z\ \ \A \ z" command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=33826name=contextelapsed=0.090 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=25440name=fixelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=22015name=finallyelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=33980name=lemmaelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=22023name=showelapsed=0.019 locale partial_function_definitions = fixes leq :: "'a \ 'a \ bool" and lub :: "'a set \ 'a" assumes "partial_function_definitions leq lub" command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=25518name=showelapsed=0.021 Proofs for inductive predicate(s) "compact" command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=22582name=byelapsed=0.026 Proving monotonicity ... Proving the introduction rules ... Proving the elimination rules ... command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=32729name=haveelapsed=0.021 Proving the induction rule ... Proving the simplification rules ... command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=34412name=inductiveelapsed=0.044 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=32809name=haveelapsed=0.022 ML_statistics = :now=1462972148.17tasks_ready=10tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=1size_allocation=3692036096size_allocation_free=76409696size_heap=3711959040size_heap_free_last_full_GC=0size_heap_free_last_GC=2098950128threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=19.54time_GC=0.112user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=34625name=hide_factelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=33359name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=25599name=henceelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=33427name=finallyelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=33435name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=25674name=haveelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=25730name=ultimatelyelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=32873name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=25741name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=32983name=fixelapsed=0.016 class ccpo = Sup + order + assumes "ccpo_Sup_upper": "\A x. \Complete_Partial_Order.chain op \ A; x \ A\ \ x \ \A" assumes "ccpo_Sup_least": "\A z. \Complete_Partial_Order.chain op \ A; \x. x \ A \ x \ z\ \ \A \ z" command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=34651name=contextelapsed=0.098 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=25843name=nextelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=34671name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=33021name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=25867name=letelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=33021name=obtainelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=33085name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=25903name=haveelapsed=0.021 locale partial_function_definitions = fixes leq :: "'a \ 'a \ bool" and lub :: "'a set \ 'a" assumes "partial_function_definitions leq lub" command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=33136name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=26016name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=33253name=henceelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=26016name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=26081name=henceelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=33323name=finallyelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=33331name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=26150name=henceelapsed=0.020 class ccpo = Sup + order + assumes "ccpo_Sup_upper": "\A x. \Complete_Partial_Order.chain op \ A; x \ A\ \ x \ \A" assumes "ccpo_Sup_least": "\A z. \Complete_Partial_Order.chain op \ A; \x. x \ A \ x \ z\ \ \A \ z" command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=35787name=contextelapsed=0.090 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=26192name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=25773name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=35807name=lemmaelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=26618name=henceelapsed=0.021 locale partial_function_definitions = fixes leq :: "'a \ 'a \ bool" and lub :: "'a set \ 'a" assumes "partial_function_definitions leq lub" command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=34869name=showelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=26721name=henceelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=36576name=lemmaelapsed=0.033 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=26763name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=26102name=byelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=37284name=definitionelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=26849name=haveelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=37382name=definitionelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=26257name=fixelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=27787name=finallyelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=26293name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=27795name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=37571name=lemmaelapsed=0.045 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=36155name=showelapsed=0.023 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=37091name=applyelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=26803name=byelapsed=0.290 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=36392name=thuselapsed=0.304 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=38766name=definitionelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=26943name=henceelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=26391name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=26981name=thuselapsed=0.014 ML_statistics = :now=1462972148.94tasks_ready=22tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=2size_allocation=4156555264size_allocation_free=4156555264size_heap=4152360960size_heap_free_last_full_GC=0size_heap_free_last_GC=4157808184threads_in_ML=1threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=21.448time_GC=0.384user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=26453name=thuselapsed=0.020 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=27016name=nextelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=40207name=lemmaelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=27044name=haveelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=27195name=henceelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=41408name=lemmaelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=27290name=haveelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=38088name=interpretelapsed=0.038 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=27403name=henceelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=38135name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=27545name=haveelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=27690name=haveelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=38402name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=27752name=finallyelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=38402name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=27760name=showelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=32116name=byelapsed=1.079 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=38458name=thuselapsed=0.021 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=44097name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=38687name=byelapsed=0.053 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=44857name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=39419name=interpretelapsed=0.041 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=45638name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=45893name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=39900name=interpretelapsed=0.057 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=39471name=interpretelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=40538name=interpretelapsed=0.036 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=39952name=interpretelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=39471name=interpretelapsed=0.036 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=40593name=interpretelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=39523name=showelapsed=0.016 class ccpo = Sup + order + assumes "ccpo_Sup_upper": "\A x. \Complete_Partial_Order.chain op \ A; x \ A\ \ x \ \A" assumes "ccpo_Sup_least": "\A z. \Complete_Partial_Order.chain op \ A; \x. x \ A \ x \ z\ \ \A \ z" command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=46154name=contextelapsed=0.059 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=40593name=interpretelapsed=0.041 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=46174name=lemmaelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=39952name=interpretelapsed=0.059 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=40004name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=40648name=interpretelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=40989name=interpretelapsed=0.038 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=47495name=lemmaelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=40083name=fixelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=41048name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=47883name=lemmaelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=40124name=thuselapsed=0.018 locale partial_function_definitions = fixes leq :: "'a \ 'a \ bool" and lub :: "'a set \ 'a" assumes "partial_function_definitions leq lub" command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=40648name=interpretelapsed=0.044 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=48376name=lemmaelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=41677name=byelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=40703name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=41293name=interpretelapsed=0.034 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=48822name=lemmaelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=41352name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=49254name=lemmaelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=49694name=lemmaelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=44340name=interpretelapsed=0.039 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=45100name=interpretelapsed=0.039 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=45150name=fixelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=44390name=fixelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=45217name=letelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=44410name=letelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=44487name=henceelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=45238name=haveelapsed=0.018 ML_statistics = :now=1462972149.44tasks_ready=32tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=2size_allocation=4156555264size_allocation_free=3339494784size_heap=4152360960size_heap_free_last_full_GC=0size_heap_free_last_GC=4157808184threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=23.056time_GC=0.384user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=45363name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=44603name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=44678name=haveelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=45477name=haveelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=45548name=haveelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=44723name=ultimatelyelapsed=0.017 class complete_lattice = Inf + ccpo + bounded_lattice + assumes "Inf_lower": "\x A. x \ A \ \A \ x" and "Inf_greatest": "\A z. (\x. x \ A \ z \ x) \ z \ \A" assumes "Sup_upper": "\x A. x \ A \ x \ \A" and "Sup_least": "\A z. (\x. x \ A \ x \ z) \ \A \ z" assumes "Inf_empty": "\{} = \" assumes "Sup_empty": "\{} = \" command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=50341name=contextelapsed=0.129 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=44734name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=45593name=finallyelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=44018name=byelapsed=0.182 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=39536name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=45601name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=48253name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=46538name=interpretelapsed=0.040 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=48645name=henceelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=49620name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=48764name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=46591name=interpretelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=44563name=byelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=50037name=byelapsed=0.045 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=46591name=interpretelapsed=0.043 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=45437name=byelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=46646name=fixelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=51260name=byelapsed=0.010 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=51614name=byelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=46741name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=51858name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=46859name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=51858name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=51921name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=47032name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=51963name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=47167name=henceelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=52529name=byelapsed=0.089 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=52086name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=47256name=haveelapsed=0.019 class complete_distrib_lattice = complete_lattice + distrib_lattice + assumes "sup_Inf": "\a B. a \ \B = (\b\B. a \ b)" assumes "inf_Sup": "\a B. a \ \B = (\b\B. a \ b)" command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=53108name=contextelapsed=0.142 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=47431name=finallyelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=47241name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=52164name=fixelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=47439name=showelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=47403name=byelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=52213name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=52213name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=53695name=interpretationelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=52251name=letelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=53840name=declarationelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=52298name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=53983name=interpretationelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=52365name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=54133name=declarationelapsed=0.025 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=52439name=finallyelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=52447name=showelapsed=0.019 ML_statistics = :now=1462972149.95tasks_ready=17tasks_pending=3tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=2size_allocation=4156555264size_allocation_free=2522170992size_heap=4152360960size_heap_free_last_full_GC=0size_heap_free_last_GC=4157808184threads_in_ML=4threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=24.66time_GC=0.384user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=53204name=byelapsed=0.170 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=54407name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=53330name=byelapsed=0.182 class complete_lattice = Inf + ccpo + bounded_lattice + assumes "Inf_lower": "\x A. x \ A \ \A \ x" and "Inf_greatest": "\A z. (\x. x \ A \ z \ x) \ z \ \A" assumes "Sup_upper": "\x A. x \ A \ x \ \A" and "Sup_least": "\A z. (\x. x \ A \ x \ z) \ \A \ z" assumes "Inf_empty": "\{} = \" assumes "Sup_empty": "\{} = \" command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=55190name=contextelapsed=0.129 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=55528name=applyelapsed=0.041 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=56146name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=58455name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=56407name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=58686name=lemmaelapsed=0.011 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=56056name=byelapsed=0.061 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=56512name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=57728name=nextelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=56563name=fixelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=57737name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=56679name=obtainelapsed=0.024 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=57788name=fixelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=56679name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=59365name=interpretationelapsed=0.064 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=57847name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=56768name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=57847name=obtainelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=56754name=byelapsed=0.012 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=57910name=showelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=56832name=fixelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=57974name=fixelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=56888name=obtainelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=59424name=interpretationelapsed=0.073 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=58024name=obtainelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=56888name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=58024name=obtainelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=59922name=interpretationelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=56970name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=58107name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=57021name=thuselapsed=0.020 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=58204name=haveelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=58280name=haveelapsed=0.020 ML_statistics = :now=1462972150.45tasks_ready=7tasks_pending=5tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=2size_allocation=4156555264size_allocation_free=1800286920size_heap=4152360960size_heap_free_last_full_GC=0size_heap_free_last_GC=4157808184threads_in_ML=2threads_total=11threads_wait_condvar=5threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=25.964time_GC=0.384user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=55859name=byelapsed=0.339 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=58400name=finallyelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=58408name=showelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=57129name=haveelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=59922name=interpretationelapsed=0.101 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=57203name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=60228name=lemmaelapsed=0.014 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=57275name=haveelapsed=0.021 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=60675name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=59755name=qedelapsed=0.122 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=57342name=finallyelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=60743name=henceelapsed=0.020 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=62529name=lemmaelapsed=0.045 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=57350name=showelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=63779name=lemmaselapsed=0.010 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=57373name=nextelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=60887name=haveelapsed=0.026 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=62490name=finallyelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=61081name=haveelapsed=0.019 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=57456name=haveelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=62498name=showelapsed=0.019 locale partial_function_definitions = fixes leq :: "'a \ 'a \ bool" and lub :: "'a set \ 'a" assumes "partial_function_definitions leq lub" command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=57514name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=61279name=thuselapsed=0.018 ### theory "Complete_Partial_Order2" ### 4.704s elapsed time, 17.044s cpu time, 0.272s GC time Loading theory "MFMC_Misc" (required by "Rel_PMF_Characterisation" via "Max_Flow_Min_Cut_Countable") loading_theory = MFMC_Misc command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=61520name=nextelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=57607name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=64407name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=61529name=haveelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=57673name=finallyelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=61678name=henceelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=57681name=showelapsed=0.017 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=61968name=haveelapsed=0.022 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=61317name=byelapsed=0.016 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=64918name=byelapsed=0.030 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=62117name=henceelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=61752name=fixelapsed=0.013 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=62191name=fixelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=62394name=ultimatelyelapsed=0.015 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=61797name=thuselapsed=0.014 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=62405name=showelapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=62236name=thuselapsed=0.018 command_timing = :file=~~/src/HOL/Library/Complete_Partial_Order2.thyoffset=62443name=byelapsed=0.010 ML_statistics = :now=1462972150.95tasks_ready=0tasks_pending=2tasks_running=1tasks_passive=0tasks_urgent=0workers_total=8workers_active=1workers_waiting=0full_GCs=0partial_GCs=2size_allocation=4156555264size_allocation_free=517655120size_heap=4152360960size_heap_free_last_full_GC=0size_heap_free_last_GC=4157808184threads_in_ML=2threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=28.812time_GC=0.384user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1462972151.75tasks_ready=0tasks_pending=2tasks_running=1tasks_passive=0tasks_urgent=0workers_total=8workers_active=1workers_waiting=0full_GCs=0partial_GCs=3size_allocation=4092592128size_allocation_free=4092592128size_heap=4151312384size_heap_free_last_full_GC=0size_heap_free_last_GC=4094174136threads_in_ML=1threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=29.78time_GC=0.692user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1462972152.25tasks_ready=0tasks_pending=2tasks_running=1tasks_passive=1tasks_urgent=0workers_total=8workers_active=1workers_waiting=0full_GCs=0partial_GCs=3size_allocation=4092592128size_allocation_free=3671484264size_heap=4151312384size_heap_free_last_full_GC=0size_heap_free_last_GC=4094174136threads_in_ML=2threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=30.584time_GC=0.692user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=72name=theoryelapsed=1.800 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=953name=byelapsed=0.010 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=1193name=byelapsed=0.080 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=1530name=byelapsed=0.011 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=1609name=byelapsed=0.041 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=1808name=byelapsed=0.038 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=1708name=byelapsed=0.054 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=1934name=byelapsed=0.027 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=2031name=byelapsed=0.033 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=7667name=lemmaelapsed=0.010 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=2382name=byelapsed=0.051 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=2678name=haveelapsed=0.043 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=9325name=inductive_simpselapsed=0.015 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=2155name=byelapsed=0.079 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=9420name=definitionelapsed=0.018 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=2739name=showelapsed=0.038 ML_statistics = :now=1462972152.75tasks_ready=42tasks_pending=2tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=3size_allocation=4092592128size_allocation_free=3196844440size_heap=4151312384size_heap_free_last_full_GC=0size_heap_free_last_GC=4094174136threads_in_ML=5threads_total=11threads_wait_condvar=4threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=31.432time_GC=0.692user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=2917name=byelapsed=0.067 *** Undefined fact: "split_if_asm" (line 96 of "~~/afp/thys/MFMC_Countable/MFMC_Misc.thy") *** At command "by" (line 96 of "~~/afp/thys/MFMC_Countable/MFMC_Misc.thy") command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=3198name=byelapsed=0.028 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=10726name=lemmaelapsed=0.039 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=3082name=byelapsed=0.133 ### theory "MFMC_Misc" ### 2.215s elapsed time, 5.444s cpu time, 0.308s GC time Loading theory "Max_Flow_Min_Cut_Countable" (required by "Rel_PMF_Characterisation") loading_theory = Max_Flow_Min_Cut_Countable command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=3465name=byelapsed=0.126 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=3743name=byelapsed=0.045 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=3344name=byelapsed=0.212 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=3867name=byelapsed=0.037 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=3592name=byelapsed=0.140 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=6664name=byelapsed=0.019 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=6793name=byelapsed=0.024 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=4109name=showelapsed=0.044 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=6883name=applyelapsed=0.045 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=7081name=byelapsed=0.039 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=6939name=applyelapsed=0.014 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=6352name=haveelapsed=0.044 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=7558name=byelapsed=0.012 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=6383name=haveelapsed=0.043 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=7853name=obtainelapsed=0.043 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=6506name=showelapsed=0.042 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=7853name=obtainelapsed=0.039 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=8606name=showelapsed=0.042 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=7913name=haveelapsed=0.039 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=7308name=byelapsed=0.179 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=7982name=obtainelapsed=0.039 ML_statistics = :now=1462972153.25tasks_ready=23tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=3size_allocation=4092592128size_allocation_free=2046275864size_heap=4151312384size_heap_free_last_full_GC=0size_heap_free_last_GC=4094174136threads_in_ML=5threads_total=11threads_wait_condvar=4threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=33.432time_GC=0.692user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=2775name=byelapsed=0.015 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=7982name=obtainelapsed=0.038 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=9986name=byelapsed=0.017 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=10159name=byelapsed=0.026 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=8042name=haveelapsed=0.040 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=10337name=haveelapsed=0.042 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=8093name=ultimatelyelapsed=0.037 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=8785name=byelapsed=0.170 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=10675name=byelapsed=0.014 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=10426name=showelapsed=0.043 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=8104name=haveelapsed=0.044 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=13221name=byelapsed=0.010 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=13364name=byelapsed=0.011 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=11301name=haveelapsed=0.043 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=8270name=haveelapsed=0.045 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=13532name=subgoalelapsed=0.040 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=11356name=fixelapsed=0.039 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=8388name=ultimatelyelapsed=0.039 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=4155name=fixelapsed=0.039 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=11439name=henceelapsed=0.040 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=8399name=showelapsed=0.040 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=6373name=byelapsed=0.012 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=4216name=haveelapsed=0.040 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=11473name=haveelapsed=0.040 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=6474name=showelapsed=0.041 command_timing = :file=~~/afp/thys/MFMC_Countable/Max_Flow_Min_Cut_Countable.thyoffset=47name=theoryelapsed=0.453 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=7886name=byelapsed=0.013 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=4258name=haveelapsed=0.040 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=11528name=haveelapsed=0.041 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=8015name=byelapsed=0.013 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=11593name=haveelapsed=0.043 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=4319name=obtainelapsed=0.047 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=11651name=henceelapsed=0.040 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=4319name=obtainelapsed=0.041 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=4408name=henceelapsed=0.044 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=11708name=showelapsed=0.043 ML_statistics = :now=1462972153.75tasks_ready=19tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=3size_allocation=4109938688size_allocation_free=427083960size_heap=4150833152size_heap_free_last_full_GC=0size_heap_free_last_GC=4094174136threads_in_ML=5threads_total=11threads_wait_condvar=4threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=37.428time_GC=0.692user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=4501name=henceelapsed=0.042 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=11823name=haveelapsed=0.041 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=4635name=fixelapsed=0.040 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=11894name=showelapsed=0.043 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=11949name=fixelapsed=0.040 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=4690name=haveelapsed=0.047 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=6069name=haveelapsed=0.043 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=12036name=haveelapsed=0.043 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=6162name=haveelapsed=0.380 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=12148name=haveelapsed=0.389 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=6191name=finallyelapsed=0.040 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=12220name=haveelapsed=0.042 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=6199name=haveelapsed=0.042 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=12294name=ultimatelyelapsed=0.039 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=6230name=thuselapsed=0.042 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=12305name=showelapsed=0.041 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=4239name=byelapsed=0.014 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=12395name=fixelapsed=0.042 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=4570name=byelapsed=0.034 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=12449name=henceelapsed=0.044 command_timing = :file=~~/afp/thys/MFMC_Countable/Max_Flow_Min_Cut_Countable.thyoffset=160name=recordelapsed=0.962 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=4827name=thuselapsed=0.040 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=12554name=showelapsed=0.039 command_timing = :file=~~/afp/thys/MFMC_Countable/Max_Flow_Min_Cut_Countable.thyoffset=316name=definitionelapsed=0.019 ML_statistics = :now=1462972154.59tasks_ready=27tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=4size_allocation=4048072704size_allocation_free=4048072704size_heap=4138004480size_heap_free_last_full_GC=0size_heap_free_last_GC=4049116056threads_in_ML=2threads_total=11threads_wait_condvar=4threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=38.652time_GC=1.024user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=4900name=nextelapsed=0.038 command_timing = :file=~~/afp/thys/MFMC_Countable/Max_Flow_Min_Cut_Countable.thyoffset=435name=definitionelapsed=0.019 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=12603name=showelapsed=0.043 command_timing = :file=~~/afp/thys/MFMC_Countable/Max_Flow_Min_Cut_Countable.thyoffset=1050name=definitionelapsed=0.018 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=4940name=showelapsed=0.042 Proofs for inductive predicate(s) "cycle" Proving monotonicity ... Proving the introduction rules ... Proving the elimination rules ... Proving the induction rule ... Proving the simplification rules ... command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=6120name=byelapsed=0.072 command_timing = :file=~~/afp/thys/MFMC_Countable/Max_Flow_Min_Cut_Countable.thyoffset=1677name=inductiveelapsed=0.040 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=4838name=byelapsed=0.030 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=12697name=byelapsed=0.011 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=4959name=proofelapsed=0.010 command_timing = :file=~~/afp/thys/MFMC_Countable/Max_Flow_Min_Cut_Countable.thyoffset=2478name=definitionelapsed=0.015 command_timing = :file=~~/afp/thys/MFMC_Countable/Max_Flow_Min_Cut_Countable.thyoffset=2855name=lemmaelapsed=0.010 command_timing = :file=~~/afp/thys/MFMC_Countable/Max_Flow_Min_Cut_Countable.thyoffset=1460name=byelapsed=0.053 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=5018name=thuselapsed=0.044 command_timing = :file=~~/afp/thys/MFMC_Countable/Max_Flow_Min_Cut_Countable.thyoffset=2417name=thuselapsed=0.038 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=5095name=nextelapsed=0.039 command_timing = :file=~~/afp/thys/MFMC_Countable/Max_Flow_Min_Cut_Countable.thyoffset=2632name=byelapsed=0.023 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=5154name=obtainelapsed=0.045 command_timing = :file=~~/afp/thys/MFMC_Countable/Max_Flow_Min_Cut_Countable.thyoffset=3110name=haveelapsed=0.045 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=5154name=obtainelapsed=0.041 command_timing = :file=~~/afp/thys/MFMC_Countable/Max_Flow_Min_Cut_Countable.thyoffset=3243name=haveelapsed=0.043 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=5244name=haveelapsed=0.043 command_timing = :file=~~/afp/thys/MFMC_Countable/Max_Flow_Min_Cut_Countable.thyoffset=3439name=haveelapsed=0.044 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=5310name=henceelapsed=0.046 command_timing = :file=~~/afp/thys/MFMC_Countable/Max_Flow_Min_Cut_Countable.thyoffset=3795name=haveelapsed=0.042 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=5416name=haveelapsed=0.044 command_timing = :file=~~/afp/thys/MFMC_Countable/Max_Flow_Min_Cut_Countable.thyoffset=3916name=finallyelapsed=0.040 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=5553name=haveelapsed=0.043 command_timing = :file=~~/afp/thys/MFMC_Countable/Max_Flow_Min_Cut_Countable.thyoffset=3924name=showelapsed=0.041 ML_statistics = :now=1462972155.09tasks_ready=55tasks_pending=1tasks_running=4tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=4size_allocation=4048072704size_allocation_free=2310025896size_heap=4138004480size_heap_free_last_full_GC=0size_heap_free_last_GC=4049116056threads_in_ML=5threads_total=11threads_wait_condvar=4threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=42.64time_GC=1.024user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=5614name=ultimatelyelapsed=0.040 command_timing = :file=~~/afp/thys/MFMC_Countable/Max_Flow_Min_Cut_Countable.thyoffset=4084name=byelapsed=0.055 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=5625name=haveelapsed=0.035 *** Undefined fact: "split_if_asm" (line 108 of "~~/afp/thys/MFMC_Countable/Max_Flow_Min_Cut_Countable.thy") *** At command "by" (line 108 of "~~/afp/thys/MFMC_Countable/Max_Flow_Min_Cut_Countable.thy") command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=5736name=haveelapsed=0.045 command_timing = :file=~~/afp/thys/MFMC_Countable/Max_Flow_Min_Cut_Countable.thyoffset=4350name=obtainelapsed=0.043 command_timing = :file=~~/afp/thys/MFMC_Countable/Max_Flow_Min_Cut_Countable.thyoffset=4350name=obtainelapsed=0.041 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=5844name=haveelapsed=0.044 command_timing = :file=~~/afp/thys/MFMC_Countable/Max_Flow_Min_Cut_Countable.thyoffset=4479name=obtainelapsed=0.045 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=5978name=ultimatelyelapsed=0.039 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=5989name=showelapsed=0.041 command_timing = :file=~~/afp/thys/MFMC_Countable/Max_Flow_Min_Cut_Countable.thyoffset=4479name=obtainelapsed=0.041 command_timing = :file=~~/afp/thys/MFMC_Countable/Max_Flow_Min_Cut_Countable.thyoffset=4553name=letelapsed=0.045 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=5046name=byelapsed=0.048 command_timing = :file=~~/afp/thys/MFMC_Countable/Max_Flow_Min_Cut_Countable.thyoffset=2318name=byelapsed=0.017 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=5186name=byelapsed=0.010 command_timing = :file=~~/afp/thys/MFMC_Countable/Max_Flow_Min_Cut_Countable.thyoffset=4585name=haveelapsed=0.044 command_timing = :file=~~/afp/thys/MFMC_Countable/Max_Flow_Min_Cut_Countable.thyoffset=3174name=byelapsed=0.021 command_timing = :file=~~/afp/thys/MFMC_Countable/Max_Flow_Min_Cut_Countable.thyoffset=4672name=haveelapsed=0.045 command_timing = :file=~~/afp/thys/MFMC_Countable/Max_Flow_Min_Cut_Countable.thyoffset=3299name=byelapsed=0.044 command_timing = :file=~~/afp/thys/MFMC_Countable/Max_Flow_Min_Cut_Countable.thyoffset=5022name=haveelapsed=0.045 command_timing = :file=~~/afp/thys/MFMC_Countable/Max_Flow_Min_Cut_Countable.thyoffset=5163name=recordelapsed=0.782 command_timing = :file=~~/afp/thys/MFMC_Countable/Max_Flow_Min_Cut_Countable.thyoffset=5088name=finallyelapsed=0.043 Proofs for inductive predicate(s) "support_flowp" Proving monotonicity ... Proving the introduction rules ... Proving the elimination rules ... Proving the induction rule ... Proving the simplification rules ... command_timing = :file=~~/afp/thys/MFMC_Countable/Max_Flow_Min_Cut_Countable.thyoffset=5096name=showelapsed=0.045 ML_statistics = :now=1462972155.59tasks_ready=64tasks_pending=1tasks_running=5tasks_passive=0tasks_urgent=0workers_total=8workers_active=4workers_waiting=0full_GCs=0partial_GCs=4size_allocation=4048072704size_allocation_free=1392630352size_heap=4138004480size_heap_free_last_full_GC=0size_heap_free_last_GC=4049116056threads_in_ML=5threads_total=11threads_wait_condvar=4threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=44.648time_GC=1.024user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/afp/thys/MFMC_Countable/Max_Flow_Min_Cut_Countable.thyoffset=5303name=inductive_setelapsed=0.081 ### theory "Max_Flow_Min_Cut_Countable" ### 2.493s elapsed time, 11.096s cpu time, 0.332s GC time command_timing = :file=~~/afp/thys/MFMC_Countable/Max_Flow_Min_Cut_Countable.thyoffset=3511name=applyelapsed=0.046 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=5288name=byelapsed=0.184 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=5713name=byelapsed=0.071 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=5803name=byelapsed=0.123 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=6014name=byelapsed=0.108 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=5960name=byelapsed=0.244 ML_statistics = :now=1462972156.13tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=0tasks_urgent=0workers_total=8workers_active=1workers_waiting=0full_GCs=0partial_GCs=4size_allocation=4048072704size_allocation_free=367787832size_heap=4138004480size_heap_free_last_full_GC=0size_heap_free_last_GC=4049116056threads_in_ML=3threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=46.46time_GC=1.024user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 ML_statistics = :now=1462972156.73tasks_ready=0tasks_pending=0tasks_running=1tasks_passive=0tasks_urgent=0workers_total=8workers_active=1workers_waiting=0full_GCs=0partial_GCs=5size_allocation=3980394496size_allocation_free=3476537344size_heap=4157927424size_heap_free_last_full_GC=0size_heap_free_last_GC=3982033536threads_in_ML=2threads_total=11threads_wait_condvar=7threads_wait_IO=0threads_wait_mutex=0threads_wait_signal=1time_CPU=47.832time_GC=1.128user_counter0=0user_counter1=0user_counter2=0user_counter3=0user_counter4=0user_counter5=0user_counter6=0user_counter7=0 command_timing = :file=~~/afp/thys/MFMC_Countable/MFMC_Misc.thyoffset=10443name=byelapsed=3.120 isabelle document -c -o 'pdf' -n 'outline' -t '/proof,/ML' /media/data/jenkins/workspace/afp-repo-afp/browser_info/AFP/MFMC_Countable/outline 2>&1 isabelle document -c -o 'pdf' -n 'document' -t '' /media/data/jenkins/workspace/afp-repo-afp/browser_info/AFP/MFMC_Countable/document 2>&1 This is pdfTeX, Version 3.14159265-2.6-1.40.15 (TeX Live 2015/dev/Debian) (preloaded format=pdflatex) restricted \write18 enabled. entering extended mode LaTeX2e <2014/05/01> Babel <3.9l> and hyphenation patterns for 79 languages loaded. 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[5] [6] [7] [8] Overfull \hbox (15.65846pt too wide) in paragraph at lines 2016--2017 [][] \OT1/cmr/m/it/10 fixp[]preserves[]mono[]uc$\OT1/cmr/m/n/10 [$\OT1/cmr/m/i t/10 of case[]prod [] curry$\OML/cmm/m/it/10 ;$ \OT1/cmr/m/it/10 un-folded case []prod[]curry curry[]case[]prod$\OML/cmm/m/it/10 ;$ [9] Overfull \hbox (17.9584pt too wide) in paragraph at lines 2028--2029 [][] \OT1/cmr/m/it/10 fixp[]preserves[]mcont[]uc$\OT1/cmr/m/n/10 [$\OT1/cmr/m/ it/10 of case[]prod [] curry$\OML/cmm/m/it/10 ;$ \OT1/cmr/m/it/10 un-folded cas e[]prod[]curry curry[]case[]prod$\OML/cmm/m/it/10 ;$ Overfull \hbox (1.96896pt too wide) in paragraph at lines 2260--2261 [][] \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 cont[]const$\OT 1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m/it/10 :$\OT1/cm r/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF partial[]function[]definit ions[]axioms$\OT1/cmr/m/n/10 ]$$]$[] [10] Overfull \hbox (128.17523pt too wide) in paragraph at lines 2283--2285 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 mcont2mcont$ [] $ $\OT1/cmr/m/n/10 =$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 mcont2mcont$ [] $ $\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m/it/10 :$\OT 1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF partial[]function[]def initions[]axioms$\OT1/cmr/m/n/10 ]$$]$[] Overfull \hbox (122.56412pt too wide) in paragraph at lines 2285--2287 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 mcont2mcont $\OT1/cmr/m/n/10 =$ \O T1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 mcont2mcont$\OT1/cmr/m/ n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/1 0 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF partial[]function[]definitions[]ax ioms$\OT1/cmr/m/n/10 ]$$]$[] Overfull \hbox (31.55771pt too wide) in paragraph at lines 2288--2290 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 fixp[]preserves[]mono1 $\OT1/cmr/m /n/10 =$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 fixp[]preser ves[]mono1$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m/i t/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Overfull \hbox (31.55771pt too wide) in paragraph at lines 2290--2292 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 fixp[]preserves[]mono2 $\OT1/cmr/m /n/10 =$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 fixp[]preser ves[]mono2$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m/i t/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Overfull \hbox (31.55771pt too wide) in paragraph at lines 2292--2294 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 fixp[]preserves[]mono3 $\OT1/cmr/m /n/10 =$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 fixp[]preser ves[]mono3$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m/i t/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Overfull \hbox (31.55771pt too wide) in paragraph at lines 2294--2296 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 fixp[]preserves[]mono4 $\OT1/cmr/m /n/10 =$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 fixp[]preser ves[]mono4$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m/i t/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Overfull \hbox (36.1576pt too wide) in paragraph at lines 2296--2298 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 fixp[]preserves[]mcont1 $\OT1/cmr/ m/n/10 =$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 fixp[]prese rves[]mcont1$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m /it/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Overfull \hbox (36.1576pt too wide) in paragraph at lines 2298--2300 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 fixp[]preserves[]mcont2 $\OT1/cmr/ m/n/10 =$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 fixp[]prese rves[]mcont2$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF 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[$\OT1/cmr/m/it/10 cont[]intro$\OM L/cmm/m/it/10 ;$ \OT1/cmr/m/it/10 simp$\OT1/cmr/m/n/10 ]$ $=$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 compact[]bot$\OT1/cmr/m/n/10 [$\OT1/cm r/m/it/10 OF Partial[]Function$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cm r/m/n/10 [$\OT1/cmr/m/it/10 OF partial[]function[]definitions[]axioms$\OT1/cmr/ m/n/10 ]$$]$[] [14] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `\sfcode' on input line 2931. 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Overfull \hbox (8.39821pt too wide) in paragraph at lines 2976--2978 [][]\OT1/cmr/bx/n/10 lemma $\OT1/cmr/m/n/10 ($\OT1/cmr/bx/n/10 in \OT1/cmr/m/it /10 partial[]function[]definitions$\OT1/cmr/m/n/10 )$ \OT1/cmr/m/it/10 lub[]sin gleton $\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 cont[]intro$\OML/cmm/m/it/10 ;$ \OT1 /cmr/m/it/10 simp$\OT1/cmr/m/n/10 ]$$:$ \OT1/cmr/m/it/10 lub[]singleton [15] [16] [17] [18] [19] [20] [21] [22] [23] Overfull \hbox (3.33423pt too wide) in paragraph at lines 5085--5086 [][] \OT1/cmr/bx/n/10 and \OT1/cmr/m/it/10 adm$\OT1/cmr/m/n/10 :$ \OT1/cmr/m/i t/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 admissible $\OT1/cmr/m/n/10 ($\OT 1/cmr/m/it/10 prod[]lub $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 fun[]lub luba$\OT1/ cmr/m/n/10 )$ $($\OT1/cmr/m/it/10 fun[]lub lubb$\OT1/cmr/m/n/10 )$$)$ $($\OT1/c mr/m/it/10 rel[]prod $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 fun[]ord [24] Overfull \hbox (9.0053pt too wide) in paragraph at lines 5250--5251 []\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 mcont[]call[]fst $\OT1/cmr/m/n/10 [$ \OT1/cmr/m/it/10 cont[]intro$\OT1/cmr/m/n/10 ]$ $=$ \OT1/cmr/m/it/10 mcont[]cal l$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 THEN mcont2mcont$\OML/cmm/m/it/10 ;$ \OT1/ cmr/m/it/10 OF mcont[]fst$\OT1/cmr/m/n/10 ]$[] Overfull \hbox (17.86363pt too wide) in paragraph at lines 5251--5253 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 mcont[]call[]snd $\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 cont[]intro$\OT1/cmr/m/n/10 ]$ $=$ \OT1/cmr/m/it/10 mcont[]c all$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 THEN mcont2mcont$\OML/cmm/m/it/10 ;$ \OT 1/cmr/m/it/10 OF mcont[]snd$\OT1/cmr/m/n/10 ]$[] ) (./MFMC_Misc.tex) (./Max_Flow_Min_Cut_Countable.tex)) No file root.bbl. [25] (./root.aux) Package rerunfilecheck Warning: File `root.out' has changed. (rerunfilecheck) Rerun to get outlines right (rerunfilecheck) or use package `bookmark'. LaTeX Warning: There were undefined references. ) (see the transcript file for additional information) Output written on root.pdf (25 pages, 180482 bytes). Transcript written on root.log. This is BibTeX, Version 0.99d (TeX Live 2015/dev/Debian) The top-level auxiliary file: root.aux The style file: abbrv.bst Database file #1: root.bib This is pdfTeX, Version 3.14159265-2.6-1.40.15 (TeX Live 2015/dev/Debian) (preloaded format=pdflatex) restricted \write18 enabled. entering extended mode LaTeX2e <2014/05/01> Babel <3.9l> and hyphenation patterns for 79 languages loaded. (./root.tex (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2014/09/29 v1.4h Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size11.clo)) (./isabelle.sty (./comment.sty Excluding comment 'comment') Including comment 'isadelimtheory' Including comment 'isatagtheory' Including comment 'isadelimproof' Including comment 'isatagproof' Including comment 'isadelimML' Including comment 'isatagML' Including comment 'isadelimvisible' Including comment 'isatagvisible' Excluding comment 'isadeliminvisible' Excluding comment 'isataginvisible') (./isabelletags.sty Including comment 'isadelimproof' Excluding comment 'isatagproof' Including comment 'isadelimML' Excluding comment 'isatagML') (./isabellesym.sty ) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. 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(./root.toc) (./session.tex (./Transitive_Closure_Table.tex) (./Bourbaki_Witt_Fixpoint.tex) (./Lattice_Syntax.tex [1{/var/lib/texmf/fonts/ma p/pdftex/updmap/pdftex.map}]) (./Complete_Partial_Order2.tex Overfull \hbox (32.40999pt too wide) in paragraph at lines 46--47 [][] $\OT1/cmr/m/n/10 ($$($\OT1/cmr/m/it/10 A $\OT1/cmr/m/n/10 =$$=$$=$$\OML/c mm/m/it/10 >$ \OT1/cmr/m/it/10 A $\OT1/cmr/m/n/10 =$$=$$=$$\OML/cmm/m/it/10 >$ \OT1/cmr/m/it/10 op $\OT1/cmr/m/n/10 =$$)$ $=$$=$$=$$\OML/cmm/m/it/10 >$ \OT1/c mr/m/it/10 rel[]set A $\OT1/cmr/m/n/10 =$$=$$=$$\OML/cmm/m/it/10 >$ \OT1/cmr/m/ it/10 op $\OT1/cmr/m/n/10 =$$)$ \OT1/cmr/m/it/10 Complete[]Partial[]Order$\OML/ cmm/m/it/10 :$\OT1/cmr/m/it/10 chain [2] [3] [4] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `\sfcode' on input line 1023. Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `\sfcode' on input line 1023. 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[5] [6] [7] [8] [9] Overfull \hbox (15.65846pt too wide) in paragraph at lines 2016--2017 [][] \OT1/cmr/m/it/10 fixp[]preserves[]mono[]uc$\OT1/cmr/m/n/10 [$\OT1/cmr/m/i t/10 of case[]prod [] curry$\OML/cmm/m/it/10 ;$ \OT1/cmr/m/it/10 un-folded case []prod[]curry curry[]case[]prod$\OML/cmm/m/it/10 ;$ Overfull \hbox (17.9584pt too wide) in paragraph at lines 2028--2029 [][] \OT1/cmr/m/it/10 fixp[]preserves[]mcont[]uc$\OT1/cmr/m/n/10 [$\OT1/cmr/m/ it/10 of case[]prod [] curry$\OML/cmm/m/it/10 ;$ \OT1/cmr/m/it/10 un-folded cas e[]prod[]curry curry[]case[]prod$\OML/cmm/m/it/10 ;$ [10] Overfull \hbox (1.96896pt too wide) in paragraph at lines 2260--2261 [][] \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 cont[]const$\OT 1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m/it/10 :$\OT1/cm r/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF partial[]function[]definit ions[]axioms$\OT1/cmr/m/n/10 ]$$]$[] Overfull \hbox (128.17523pt too wide) in paragraph at lines 2283--2285 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 mcont2mcont$ [] $ $\OT1/cmr/m/n/10 =$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 mcont2mcont$ [] $ $\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m/it/10 :$\OT 1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF partial[]function[]def initions[]axioms$\OT1/cmr/m/n/10 ]$$]$[] Overfull \hbox (122.56412pt too wide) in paragraph at lines 2285--2287 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 mcont2mcont $\OT1/cmr/m/n/10 =$ \O T1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 mcont2mcont$\OT1/cmr/m/ n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/1 0 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF partial[]function[]definitions[]ax ioms$\OT1/cmr/m/n/10 ]$$]$[] Overfull \hbox (31.55771pt too wide) in paragraph at lines 2288--2290 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 fixp[]preserves[]mono1 $\OT1/cmr/m /n/10 =$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 fixp[]preser ves[]mono1$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m/i t/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Overfull \hbox (31.55771pt too wide) in paragraph at lines 2290--2292 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 fixp[]preserves[]mono2 $\OT1/cmr/m /n/10 =$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 fixp[]preser ves[]mono2$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m/i t/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Overfull \hbox (31.55771pt too wide) in paragraph at lines 2292--2294 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 fixp[]preserves[]mono3 $\OT1/cmr/m /n/10 =$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 fixp[]preser ves[]mono3$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m/i t/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Overfull \hbox (31.55771pt too wide) in paragraph at lines 2294--2296 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 fixp[]preserves[]mono4 $\OT1/cmr/m /n/10 =$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 fixp[]preser ves[]mono4$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m/i t/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Overfull \hbox (36.1576pt too wide) in paragraph at lines 2296--2298 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 fixp[]preserves[]mcont1 $\OT1/cmr/ m/n/10 =$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 fixp[]prese rves[]mcont1$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m /it/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Overfull \hbox (36.1576pt too wide) in paragraph at lines 2298--2300 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 fixp[]preserves[]mcont2 $\OT1/cmr/ m/n/10 =$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 fixp[]prese rves[]mcont2$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF 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[$\OT1/cmr/m/it/10 cont[]intro$\OM L/cmm/m/it/10 ;$ \OT1/cmr/m/it/10 simp$\OT1/cmr/m/n/10 ]$ $=$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 compact[]bot$\OT1/cmr/m/n/10 [$\OT1/cm r/m/it/10 OF Partial[]Function$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cm r/m/n/10 [$\OT1/cmr/m/it/10 OF partial[]function[]definitions[]axioms$\OT1/cmr/ m/n/10 ]$$]$[] [14] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `\sfcode' on input line 2931. 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Overfull \hbox (8.39821pt too wide) in paragraph at lines 2976--2978 [][]\OT1/cmr/bx/n/10 lemma $\OT1/cmr/m/n/10 ($\OT1/cmr/bx/n/10 in \OT1/cmr/m/it /10 partial[]function[]definitions$\OT1/cmr/m/n/10 )$ \OT1/cmr/m/it/10 lub[]sin gleton $\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 cont[]intro$\OML/cmm/m/it/10 ;$ \OT1 /cmr/m/it/10 simp$\OT1/cmr/m/n/10 ]$$:$ \OT1/cmr/m/it/10 lub[]singleton [15] [16] [17] [18] [19] [20] [21] [22] [23] [24] Overfull \hbox (3.33423pt too wide) in paragraph at lines 5085--5086 [][] \OT1/cmr/bx/n/10 and \OT1/cmr/m/it/10 adm$\OT1/cmr/m/n/10 :$ \OT1/cmr/m/i t/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 admissible $\OT1/cmr/m/n/10 ($\OT 1/cmr/m/it/10 prod[]lub $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 fun[]lub luba$\OT1/ cmr/m/n/10 )$ $($\OT1/cmr/m/it/10 fun[]lub lubb$\OT1/cmr/m/n/10 )$$)$ $($\OT1/c mr/m/it/10 rel[]prod $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 fun[]ord Overfull \hbox (9.0053pt too wide) in paragraph at lines 5250--5251 []\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 mcont[]call[]fst $\OT1/cmr/m/n/10 [$ \OT1/cmr/m/it/10 cont[]intro$\OT1/cmr/m/n/10 ]$ $=$ \OT1/cmr/m/it/10 mcont[]cal l$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 THEN mcont2mcont$\OML/cmm/m/it/10 ;$ \OT1/ cmr/m/it/10 OF mcont[]fst$\OT1/cmr/m/n/10 ]$[] [25] Overfull \hbox (17.86363pt too wide) in paragraph at lines 5251--5253 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 mcont[]call[]snd $\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 cont[]intro$\OT1/cmr/m/n/10 ]$ $=$ \OT1/cmr/m/it/10 mcont[]c all$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 THEN mcont2mcont$\OML/cmm/m/it/10 ;$ \OT 1/cmr/m/it/10 OF mcont[]snd$\OT1/cmr/m/n/10 ]$[] ) (./MFMC_Misc.tex) (./Max_Flow_Min_Cut_Countable.tex)) (./root.bbl) [26] (./root.aux) LaTeX Warning: There were undefined references. LaTeX Warning: Label(s) may have changed. Rerun to get cross-references right. ) (see the transcript file for additional information) Output written on root.pdf (26 pages, 184683 bytes). Transcript written on root.log. This is pdfTeX, Version 3.14159265-2.6-1.40.15 (TeX Live 2015/dev/Debian) (preloaded format=pdflatex) restricted \write18 enabled. entering extended mode LaTeX2e <2014/05/01> Babel <3.9l> and hyphenation patterns for 79 languages loaded. (./root.tex (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2014/09/29 v1.4h Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size11.clo)) (./isabelle.sty (./comment.sty Excluding comment 'comment') Including comment 'isadelimtheory' Including comment 'isatagtheory' Including comment 'isadelimproof' Including comment 'isatagproof' Including comment 'isadelimML' Including comment 'isatagML' Including comment 'isadelimvisible' Including comment 'isatagvisible' Excluding comment 'isadeliminvisible' Excluding comment 'isataginvisible') (./isabelletags.sty Including comment 'isadelimproof' Excluding comment 'isatagproof' Including comment 'isadelimML' Excluding comment 'isatagML') (./isabellesym.sty ) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. 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(/usr/share/texlive/texmf-dist/tex/latex/hyperref/hpdftex.def (/usr/share/texlive/texmf-dist/tex/latex/oberdiek/rerunfilecheck.sty)) (./root.aux) (/usr/share/texlive/texmf-dist/tex/context/base/supp-pdf.mkii [Loading MPS to PDF converter (version 2006.09.02).] ) (/usr/share/texlive/texmf-dist/tex/latex/hyperref/nameref.sty (/usr/share/texlive/texmf-dist/tex/generic/oberdiek/gettitlestring.sty)) (./root.out) (./root.out) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsa.fd) (/usr/share/texlive/texmf-dist/tex/latex/amsfonts/umsb.fd) (/usr/share/texlive/texmf-dist/tex/latex/stmaryrd/Ustmry.fd) (./root.toc) (./session.tex (./Transitive_Closure_Table.tex) (./Bourbaki_Witt_Fixpoint.tex) (./Lattice_Syntax.tex [1{/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map}]) (./Complete_Partial_Order2.tex Overfull \hbox (32.40999pt too wide) in paragraph at lines 46--47 [][] $\OT1/cmr/m/n/10 ($$($\OT1/cmr/m/it/10 A $\OT1/cmr/m/n/10 =$$=$$=$$\OML/c mm/m/it/10 >$ \OT1/cmr/m/it/10 A $\OT1/cmr/m/n/10 =$$=$$=$$\OML/cmm/m/it/10 >$ \OT1/cmr/m/it/10 op $\OT1/cmr/m/n/10 =$$)$ $=$$=$$=$$\OML/cmm/m/it/10 >$ \OT1/c mr/m/it/10 rel[]set A $\OT1/cmr/m/n/10 =$$=$$=$$\OML/cmm/m/it/10 >$ \OT1/cmr/m/ it/10 op $\OT1/cmr/m/n/10 =$$)$ \OT1/cmr/m/it/10 Complete[]Partial[]Order$\OML/ cmm/m/it/10 :$\OT1/cmr/m/it/10 chain [2] [3] [4] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `\sfcode' on input line 1023. 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[5] [6] [7] [8] [9] Overfull \hbox (15.65846pt too wide) in paragraph at lines 2016--2017 [][] \OT1/cmr/m/it/10 fixp[]preserves[]mono[]uc$\OT1/cmr/m/n/10 [$\OT1/cmr/m/i t/10 of case[]prod [] curry$\OML/cmm/m/it/10 ;$ \OT1/cmr/m/it/10 un-folded case []prod[]curry curry[]case[]prod$\OML/cmm/m/it/10 ;$ Overfull \hbox (17.9584pt too wide) in paragraph at lines 2028--2029 [][] \OT1/cmr/m/it/10 fixp[]preserves[]mcont[]uc$\OT1/cmr/m/n/10 [$\OT1/cmr/m/ it/10 of case[]prod [] curry$\OML/cmm/m/it/10 ;$ \OT1/cmr/m/it/10 un-folded cas e[]prod[]curry curry[]case[]prod$\OML/cmm/m/it/10 ;$ [10] Overfull \hbox (1.96896pt too wide) in paragraph at lines 2260--2261 [][] \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 cont[]const$\OT 1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m/it/10 :$\OT1/cm r/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF partial[]function[]definit ions[]axioms$\OT1/cmr/m/n/10 ]$$]$[] Overfull \hbox (128.17523pt too wide) in paragraph at lines 2283--2285 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 mcont2mcont$ [] $ $\OT1/cmr/m/n/10 =$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 mcont2mcont$ [] $ $\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m/it/10 :$\OT 1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF partial[]function[]def initions[]axioms$\OT1/cmr/m/n/10 ]$$]$[] Overfull \hbox (122.56412pt too wide) in paragraph at lines 2285--2287 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 mcont2mcont $\OT1/cmr/m/n/10 =$ \O T1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 mcont2mcont$\OT1/cmr/m/ n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/1 0 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF partial[]function[]definitions[]ax ioms$\OT1/cmr/m/n/10 ]$$]$[] Overfull \hbox (31.55771pt too wide) in paragraph at lines 2288--2290 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 fixp[]preserves[]mono1 $\OT1/cmr/m /n/10 =$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 fixp[]preser ves[]mono1$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m/i t/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Overfull \hbox (31.55771pt too wide) in paragraph at lines 2290--2292 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 fixp[]preserves[]mono2 $\OT1/cmr/m /n/10 =$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 fixp[]preser ves[]mono2$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m/i t/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Overfull \hbox (31.55771pt too wide) in paragraph at lines 2292--2294 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 fixp[]preserves[]mono3 $\OT1/cmr/m /n/10 =$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 fixp[]preser ves[]mono3$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m/i t/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Overfull \hbox (31.55771pt too wide) in paragraph at lines 2294--2296 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 fixp[]preserves[]mono4 $\OT1/cmr/m /n/10 =$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 fixp[]preser ves[]mono4$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m/i t/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Overfull \hbox (36.1576pt too wide) in paragraph at lines 2296--2298 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 fixp[]preserves[]mcont1 $\OT1/cmr/ m/n/10 =$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 fixp[]prese rves[]mcont1$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m /it/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Overfull \hbox (36.1576pt too wide) in paragraph at lines 2298--2300 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 fixp[]preserves[]mcont2 $\OT1/cmr/ m/n/10 =$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 fixp[]prese rves[]mcont2$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m /it/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Overfull \hbox (36.1576pt too wide) in paragraph at lines 2300--2302 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 fixp[]preserves[]mcont3 $\OT1/cmr/ m/n/10 =$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 fixp[]prese rves[]mcont3$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m /it/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Overfull \hbox (36.1576pt too wide) in paragraph at lines 2302--2304 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 fixp[]preserves[]mcont4 $\OT1/cmr/ m/n/10 =$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 fixp[]prese rves[]mcont4$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m /it/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF [11] [12] [13] Overfull \hbox (132.36125pt too wide) in paragraph at lines 2827--2829 [][]\OT1/cmr/bx/n/10 lemmas $\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 cont[]intro$\OM L/cmm/m/it/10 ;$ \OT1/cmr/m/it/10 simp$\OT1/cmr/m/n/10 ]$ $=$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 compact[]bot$\OT1/cmr/m/n/10 [$\OT1/cm r/m/it/10 OF Partial[]Function$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cm r/m/n/10 [$\OT1/cmr/m/it/10 OF partial[]function[]definitions[]axioms$\OT1/cmr/ m/n/10 ]$$]$[] [14] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `\sfcode' on input line 2931. 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Overfull \hbox (8.39821pt too wide) in paragraph at lines 2976--2978 [][]\OT1/cmr/bx/n/10 lemma $\OT1/cmr/m/n/10 ($\OT1/cmr/bx/n/10 in \OT1/cmr/m/it /10 partial[]function[]definitions$\OT1/cmr/m/n/10 )$ \OT1/cmr/m/it/10 lub[]sin gleton $\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 cont[]intro$\OML/cmm/m/it/10 ;$ \OT1 /cmr/m/it/10 simp$\OT1/cmr/m/n/10 ]$$:$ \OT1/cmr/m/it/10 lub[]singleton [15] [16] [17] [18] [19] [20] [21] [22] [23] [24] Overfull \hbox (3.33423pt too wide) in paragraph at lines 5085--5086 [][] \OT1/cmr/bx/n/10 and \OT1/cmr/m/it/10 adm$\OT1/cmr/m/n/10 :$ \OT1/cmr/m/i t/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 admissible $\OT1/cmr/m/n/10 ($\OT 1/cmr/m/it/10 prod[]lub $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 fun[]lub luba$\OT1/ cmr/m/n/10 )$ $($\OT1/cmr/m/it/10 fun[]lub lubb$\OT1/cmr/m/n/10 )$$)$ $($\OT1/c mr/m/it/10 rel[]prod $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 fun[]ord Overfull \hbox (9.0053pt too wide) in paragraph at lines 5250--5251 []\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 mcont[]call[]fst $\OT1/cmr/m/n/10 [$ \OT1/cmr/m/it/10 cont[]intro$\OT1/cmr/m/n/10 ]$ $=$ \OT1/cmr/m/it/10 mcont[]cal l$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 THEN mcont2mcont$\OML/cmm/m/it/10 ;$ \OT1/ cmr/m/it/10 OF mcont[]fst$\OT1/cmr/m/n/10 ]$[] [25] Overfull \hbox (17.86363pt too wide) in paragraph at lines 5251--5253 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 mcont[]call[]snd $\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 cont[]intro$\OT1/cmr/m/n/10 ]$ $=$ \OT1/cmr/m/it/10 mcont[]c all$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 THEN mcont2mcont$\OML/cmm/m/it/10 ;$ \OT 1/cmr/m/it/10 OF mcont[]snd$\OT1/cmr/m/n/10 ]$[] ) (./MFMC_Misc.tex) (./Max_Flow_Min_Cut_Countable.tex)) (./root.bbl) [26] (./root.aux) ) (see the transcript file for additional information) Output written on root.pdf (26 pages, 184568 bytes). Transcript written on root.log. This is pdfTeX, Version 3.14159265-2.6-1.40.15 (TeX Live 2015/dev/Debian) (preloaded format=pdflatex) restricted \write18 enabled. entering extended mode LaTeX2e <2014/05/01> Babel <3.9l> and hyphenation patterns for 79 languages loaded. 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(./session.tex (./Transitive_Closure_Table.tex) (./Bourbaki_Witt_Fixpoint.tex) (./Lattice_Syntax.tex [1{/var/lib/texmf/fonts/map/pdftex/updmap/pdftex.map}]) (./Complete_Partial_Order2.tex Overfull \hbox (32.40999pt too wide) in paragraph at lines 46--47 [][] $\OT1/cmr/m/n/10 ($$($\OT1/cmr/m/it/10 A $\OT1/cmr/m/n/10 =$$=$$=$$\OML/c mm/m/it/10 >$ \OT1/cmr/m/it/10 A $\OT1/cmr/m/n/10 =$$=$$=$$\OML/cmm/m/it/10 >$ \OT1/cmr/m/it/10 op $\OT1/cmr/m/n/10 =$$)$ $=$$=$$=$$\OML/cmm/m/it/10 >$ \OT1/c mr/m/it/10 rel[]set A $\OT1/cmr/m/n/10 =$$=$$=$$\OML/cmm/m/it/10 >$ \OT1/cmr/m/ it/10 op $\OT1/cmr/m/n/10 =$$)$ \OT1/cmr/m/it/10 Complete[]Partial[]Order$\OML/ cmm/m/it/10 :$\OT1/cmr/m/it/10 chain [2] Overfull \hbox (17.44052pt too wide) in paragraph at lines 262--269 [][]\OT1/cmr/bx/n/10 by$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 blast in-tro$\OT1/cm r/m/n/10 :$ \OT1/cmr/m/it/10 ccpo[]Sup[]least chain[]empty ccpo[]Sup[]upper$\OT 1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF chain[]Diff$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/ 10 OF chain$\OT1/cmr/m/n/10 ]$$]$$)$$+$[] [3] [4] [5] [6] [7] [8] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `\sfcode' on input line 1023. 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Overfull \hbox (34.60019pt too wide) in paragraph at lines 1037--1038 [][] \OT1/cmr/m/it/10 REPEAT[]ALL[]NEW $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 res olve[]tac ctxt $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 rev $\OT1/cmr/m/n/10 ($\OT1/ cmr/m/it/10 Named[]Theorems$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 get ctxt $\OT1/ cmr/m/n/10 @$$\OMS/cmsy/m/n/10 f$\OT1/cmr/m/it/10 named[]theorems [9] [10] Overfull \hbox (19.68684pt too wide) in paragraph at lines 1374--1387 [][]\OT1/cmr/bx/n/10 by$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 rule contI$\OT1/cmr/ m/n/10 )$$($\OT1/cmr/m/it/10 drule chain[]fun[]ordD$\OT1/cmr/m/n/10 [$\OT1/cmr/ bx/n/10 where \OT1/cmr/m/it/10 x$\OT1/cmr/m/n/10 =$\OT1/cmr/m/it/10 x$\OT1/cmr/ m/n/10 ]$$\OML/cmm/m/it/10 ;$ \OT1/cmr/m/it/10 simp add$\OT1/cmr/m/n/10 :$ \OT1 /cmr/m/it/10 fun[]lub[]apply image[]image [11] [12] [13] (/usr/share/texlive/texmf-dist/tex/latex/base/omscmr.fd) [14] [15] Overfull \hbox (15.65846pt too wide) in paragraph at lines 2016--2017 [][] \OT1/cmr/m/it/10 fixp[]preserves[]mono[]uc$\OT1/cmr/m/n/10 [$\OT1/cmr/m/i t/10 of case[]prod [] curry$\OML/cmm/m/it/10 ;$ \OT1/cmr/m/it/10 un-folded case []prod[]curry curry[]case[]prod$\OML/cmm/m/it/10 ;$ Overfull \hbox (17.9584pt too wide) in paragraph at lines 2028--2029 [][] \OT1/cmr/m/it/10 fixp[]preserves[]mcont[]uc$\OT1/cmr/m/n/10 [$\OT1/cmr/m/ it/10 of case[]prod [] curry$\OML/cmm/m/it/10 ;$ \OT1/cmr/m/it/10 un-folded cas e[]prod[]curry curry[]case[]prod$\OML/cmm/m/it/10 ;$ [16] Overfull \hbox (10.79999pt too wide) in paragraph at lines 2192--2195 [][] \OT1/cmr/bx/n/10 hence \OT1/cmr/m/it/10 chain$ [] $$ [] $$ [] $$\OT1/ cmr/m/n/10 :$ \OT1/cmr/m/it/10 Complete[]Partial[]Order$\OML/cmm/m/it/10 :$\OT1 /cmr/m/it/10 chain op $\OMS/cmsy/m/n/10 v$ $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 f ` ?Y$\OT1/cmr/m/n/10 )$ \OT1/cmr/bx/n/10 by$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/1 0 rule chain[]subset$\OT1/cmr/m/n/10 )$ Overfull \hbox (14.49388pt too wide) in paragraph at lines 2207--2209 [][] \OT1/cmr/bx/n/10 by$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 rule c$\OML/ cmm/m/it/10 :$\OT1/cmr/m/it/10 antisym$\OT1/cmr/m/n/10 )$$($\OT1/cmr/m/it/10 bl ast in-tro$\OT1/cmr/m/n/10 :$ \OT1/cmr/m/it/10 c$\OML/cmm/m/it/10 :$\OT1/cmr/m/ it/10 ccpo[]Sup[]least$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF chain$ [] $$ [] $$ [] $$\OT1/cmr/m/n/10 ]$ \OT1/cmr/m/it/10 c$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 ccpo[]Sup[]upper$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF [17] Overfull \hbox (49.17293pt too wide) in paragraph at lines 2242--2255 [][]\OT1/cmr/bx/n/10 by$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 rule ccpo$\OML/cmm/m /it/10 :$\OT1/cmr/m/it/10 mcont[]const$\OT1/cmr/m/n/10 )$$($\OT1/cmr/m/it/10 ru le Partial[]Function$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [ $\OT1/cmr/m/it/10 OF partial[]function[]definitions[]axioms$\OT1/cmr/m/n/10 ]$$ )$[] Overfull \hbox (1.96896pt too wide) in paragraph at lines 2260--2261 [][] \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 cont[]const$\OT 1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m/it/10 :$\OT1/cm r/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF partial[]function[]definit ions[]axioms$\OT1/cmr/m/n/10 ]$$]$[] Overfull \hbox (128.17523pt too wide) in paragraph at lines 2283--2285 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 mcont2mcont$ [] $ $\OT1/cmr/m/n/10 =$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 mcont2mcont$ [] $ $\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m/it/10 :$\OT 1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF partial[]function[]def initions[]axioms$\OT1/cmr/m/n/10 ]$$]$[] Overfull \hbox (122.56412pt too wide) in paragraph at lines 2285--2287 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 mcont2mcont $\OT1/cmr/m/n/10 =$ \O T1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 mcont2mcont$\OT1/cmr/m/ n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/1 0 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF 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ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 fixp[]preser ves[]mono3$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m/i t/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Overfull \hbox (31.55771pt too wide) in paragraph at lines 2294--2296 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 fixp[]preserves[]mono4 $\OT1/cmr/m /n/10 =$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 fixp[]preser ves[]mono4$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m/i t/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Overfull \hbox (36.1576pt too wide) in paragraph at lines 2296--2298 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 fixp[]preserves[]mcont1 $\OT1/cmr/ m/n/10 =$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 fixp[]prese rves[]mcont1$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m /it/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Overfull \hbox (36.1576pt too wide) in 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\OT1/cmr/m/it/10 mono tone[]rel[]prodI dest$\OT1/cmr/m/n/10 :$ \OT1/cmr/m/it/10 monotone[]rel[]prodD1 monotone[]rel[]prodD2$\OT1/cmr/m/n/10 )$[] [26] [27] [28] [29] Overfull \hbox (63.24362pt too wide) in paragraph at lines 3900--3913 [][]\OT1/cmr/bx/n/10 by$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 rule ccpo$\OML/cmm/m /it/10 :$\OT1/cmr/m/it/10 cont[]case[]prodI$\OT1/cmr/m/n/10 )$$($\OT1/cmr/m/it/ 10 rule Partial[]Function$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cmr/m/n /10 [$\OT1/cmr/m/it/10 OF partial[]function[]definitions[]axioms$\OT1/cmr/m/n/1 0 ]$$)$[] [30] [31] Overfull \hbox (1.34406pt too wide) in paragraph at lines 4244--4257 [][]\OT1/cmr/bx/n/10 by$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 best in-tro$\OT1/cmr /m/n/10 :$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 mcont2mcon t$ [] $$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF complete[]lattice[]ccpo$\OT1/cmr/ m/n/10 ]$ \OT1/cmr/m/it/10 mcont[]sup1 mcont[]sup2 Overfull \hbox (1.5956pt too wide) in paragraph at lines 4349--4355 [][]\OT1/cmr/bx/n/10 declaration []\OT1/cmr/m/it/10 Partial[]Function$\OML/cmm/ m/it/10 :$\OT1/cmr/m/it/10 init lfp $\OT1/cmr/m/n/10 @$$\OMS/cmsy/m/n/10 f$\OT1 /cmr/m/it/10 term lfp$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 fixp[]fun$\OMS/cmsy/m /n/10 g$ $\OT1/cmr/m/n/10 @$$\OMS/cmsy/m/n/10 f$\OT1/cmr/m/it/10 term lfp$\OML/ cmm/m/it/10 :$\OT1/cmr/m/it/10 mono[]body$\OMS/cmsy/m/n/10 g$[] [32] Overfull \hbox (7.72885pt too wide) in paragraph at lines 4384--4390 [][]\OT1/cmr/bx/n/10 declaration []\OT1/cmr/m/it/10 Partial[]Function$\OML/cmm/ m/it/10 :$\OT1/cmr/m/it/10 init gfp $\OT1/cmr/m/n/10 @$$\OMS/cmsy/m/n/10 f$\OT1 /cmr/m/it/10 term gfp$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 fixp[]fun$\OMS/cmsy/m /n/10 g$ $\OT1/cmr/m/n/10 @$$\OMS/cmsy/m/n/10 f$\OT1/cmr/m/it/10 term gfp$\OML/ cmm/m/it/10 :$\OT1/cmr/m/it/10 mono[]body$\OMS/cmsy/m/n/10 g$[] [33] [34] [35] Overfull \hbox (45.8011pt too wide) in paragraph at lines 4919--4926 [][]\OT1/cmr/bx/n/10 qed$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 auto 4 4 simp add$\ OT1/cmr/m/n/10 :$ \OT1/cmr/m/it/10 prod[]lub[]def in-tro$\OT1/cmr/m/n/10 :$ \OT 1/cmr/m/it/10 a$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 ccpo[]Sup[]upper b$\OML/cmm /m/it/10 :$\OT1/cmr/m/it/10 ccpo[]Sup[]upper a$\OML/cmm/m/it/10 :$\OT1/cmr/m/it /10 ccpo[]Sup[]least Overfull \hbox (14.7741pt too wide) in paragraph at lines 5003--5005 [][] \OT1/cmr/bx/n/10 by$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 rule admissibl e[]leI$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF ccpo[]rel[]prodI$\OT1/cmr/m/n/10 ] $$)$$($\OT1/cmr/m/it/10 auto simp add$\OT1/cmr/m/n/10 :$ \OT1/cmr/m/it/10 prod[ ]lub[]def chain[]empty [36] Overfull \hbox (10.33287pt too wide) in paragraph at lines 5013--5015 [][] \OT1/cmr/bx/n/10 by$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 rule admissibl e[]leI$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF a$\OT1/cmr/m/n/10 ]$$)$$($\OT1/cmr /m/it/10 auto in-tro$\OT1/cmr/m/n/10 :$ \OT1/cmr/m/it/10 a$\OML/cmm/m/it/10 :$\ OT1/cmr/m/it/10 ccpo[]Sup[]least simp add$\OT1/cmr/m/n/10 :$ \OT1/cmr/m/it/10 c hain[]empty$\OT1/cmr/m/n/10 )$[] Overfull \hbox (9.0388pt too wide) in paragraph at lines 5034--5036 [][] \OT1/cmr/bx/n/10 by$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 rule admissibl e[]leI$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF b$\OT1/cmr/m/n/10 ]$$)$$($\OT1/cmr /m/it/10 auto in-tro$\OT1/cmr/m/n/10 :$ \OT1/cmr/m/it/10 b$\OML/cmm/m/it/10 :$\ OT1/cmr/m/it/10 ccpo[]Sup[]least simp add$\OT1/cmr/m/n/10 :$ \OT1/cmr/m/it/10 c hain[]empty$\OT1/cmr/m/n/10 )$[] Overfull \hbox (3.33423pt too wide) in paragraph at lines 5085--5086 [][] \OT1/cmr/bx/n/10 and \OT1/cmr/m/it/10 adm$\OT1/cmr/m/n/10 :$ \OT1/cmr/m/i t/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 admissible $\OT1/cmr/m/n/10 ($\OT 1/cmr/m/it/10 prod[]lub $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 fun[]lub luba$\OT1/ cmr/m/n/10 )$ $($\OT1/cmr/m/it/10 fun[]lub lubb$\OT1/cmr/m/n/10 )$$)$ $($\OT1/c mr/m/it/10 rel[]prod $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 fun[]ord Overfull \hbox (117.64188pt too wide) in paragraph at lines 5097--5099 [][]\OT1/cmr/bx/n/10 apply$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 rule parallel[]fi xp[]induct$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF partial[]function[]definitions $\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF a$\OT1/cmr/m/n/10 ]$ \OT1/cmr/m/it/10 partial[]function[]definitions$\OML/cmm/ m/it/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF [37] Overfull \hbox (9.0053pt too wide) in paragraph at lines 5250--5251 []\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 mcont[]call[]fst $\OT1/cmr/m/n/10 [$ \OT1/cmr/m/it/10 cont[]intro$\OT1/cmr/m/n/10 ]$ $=$ \OT1/cmr/m/it/10 mcont[]cal l$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 THEN mcont2mcont$\OML/cmm/m/it/10 ;$ \OT1/ cmr/m/it/10 OF mcont[]fst$\OT1/cmr/m/n/10 ]$[] Overfull \hbox (17.86363pt too wide) in paragraph at lines 5251--5253 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 mcont[]call[]snd $\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 cont[]intro$\OT1/cmr/m/n/10 ]$ $=$ \OT1/cmr/m/it/10 mcont[]c all$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 THEN mcont2mcont$\OML/cmm/m/it/10 ;$ \OT 1/cmr/m/it/10 OF mcont[]snd$\OT1/cmr/m/n/10 ]$[] ) (./MFMC_Misc.tex) (./Max_Flow_Min_Cut_Countable.tex)) No file root.bbl. [38] (./root.aux) Package rerunfilecheck Warning: File `root.out' has changed. (rerunfilecheck) Rerun to get outlines right (rerunfilecheck) or use package `bookmark'. LaTeX Warning: There were undefined references. ) (see the transcript file for additional information) Output written on root.pdf (38 pages, 239214 bytes). Transcript written on root.log. This is BibTeX, Version 0.99d (TeX Live 2015/dev/Debian) The top-level auxiliary file: root.aux The style file: abbrv.bst Database file #1: root.bib This is pdfTeX, Version 3.14159265-2.6-1.40.15 (TeX Live 2015/dev/Debian) (preloaded format=pdflatex) restricted \write18 enabled. entering extended mode LaTeX2e <2014/05/01> Babel <3.9l> and hyphenation patterns for 79 languages loaded. (./root.tex (/usr/share/texlive/texmf-dist/tex/latex/base/article.cls Document Class: article 2014/09/29 v1.4h Standard LaTeX document class (/usr/share/texlive/texmf-dist/tex/latex/base/size11.clo)) (./isabelle.sty (./comment.sty Excluding comment 'comment') Including comment 'isadelimtheory' Including comment 'isatagtheory' Including comment 'isadelimproof' Including comment 'isatagproof' Including comment 'isadelimML' Including comment 'isatagML' Including comment 'isadelimvisible' Including comment 'isatagvisible' Excluding comment 'isadeliminvisible' Excluding comment 'isataginvisible') (./isabelletags.sty) (./isabellesym.sty) (/usr/share/texlive/texmf-dist/tex/latex/amsmath/amsmath.sty For additional information on amsmath, use the `?' option. 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(./root.toc) (./session.tex (./Transitive_Closure_Table.tex) (./Bourbaki_Witt_Fixpoint.tex) (./Lattice_Syntax.tex [1{/var/lib/texmf/fonts/ma p/pdftex/updmap/pdftex.map}]) (./Complete_Partial_Order2.tex Overfull \hbox (32.40999pt too wide) in paragraph at lines 46--47 [][] $\OT1/cmr/m/n/10 ($$($\OT1/cmr/m/it/10 A $\OT1/cmr/m/n/10 =$$=$$=$$\OML/c mm/m/it/10 >$ \OT1/cmr/m/it/10 A $\OT1/cmr/m/n/10 =$$=$$=$$\OML/cmm/m/it/10 >$ \OT1/cmr/m/it/10 op $\OT1/cmr/m/n/10 =$$)$ $=$$=$$=$$\OML/cmm/m/it/10 >$ \OT1/c mr/m/it/10 rel[]set A $\OT1/cmr/m/n/10 =$$=$$=$$\OML/cmm/m/it/10 >$ \OT1/cmr/m/ it/10 op $\OT1/cmr/m/n/10 =$$)$ \OT1/cmr/m/it/10 Complete[]Partial[]Order$\OML/ cmm/m/it/10 :$\OT1/cmr/m/it/10 chain [2] Overfull \hbox (17.44052pt too wide) in paragraph at lines 262--269 [][]\OT1/cmr/bx/n/10 by$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 blast in-tro$\OT1/cm r/m/n/10 :$ \OT1/cmr/m/it/10 ccpo[]Sup[]least chain[]empty ccpo[]Sup[]upper$\OT 1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF chain[]Diff$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/ 10 OF chain$\OT1/cmr/m/n/10 ]$$]$$)$$+$[] [3] [4] [5] [6] [7] [8] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `\sfcode' on input line 1023. 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Overfull \hbox (34.60019pt too wide) in paragraph at lines 1037--1038 [][] \OT1/cmr/m/it/10 REPEAT[]ALL[]NEW $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 res olve[]tac ctxt $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 rev $\OT1/cmr/m/n/10 ($\OT1/ cmr/m/it/10 Named[]Theorems$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 get ctxt $\OT1/ cmr/m/n/10 @$$\OMS/cmsy/m/n/10 f$\OT1/cmr/m/it/10 named[]theorems [9] [10] [11] Overfull \hbox (19.68684pt too wide) in paragraph at lines 1374--1387 [][]\OT1/cmr/bx/n/10 by$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 rule contI$\OT1/cmr/ m/n/10 )$$($\OT1/cmr/m/it/10 drule chain[]fun[]ordD$\OT1/cmr/m/n/10 [$\OT1/cmr/ bx/n/10 where \OT1/cmr/m/it/10 x$\OT1/cmr/m/n/10 =$\OT1/cmr/m/it/10 x$\OT1/cmr/ m/n/10 ]$$\OML/cmm/m/it/10 ;$ \OT1/cmr/m/it/10 simp add$\OT1/cmr/m/n/10 :$ \OT1 /cmr/m/it/10 fun[]lub[]apply image[]image [12] [13] [14] (/usr/share/texlive/texmf-dist/tex/latex/base/omscmr.fd) [15] Overfull \hbox (15.65846pt too wide) in paragraph at lines 2016--2017 [][] \OT1/cmr/m/it/10 fixp[]preserves[]mono[]uc$\OT1/cmr/m/n/10 [$\OT1/cmr/m/i t/10 of case[]prod [] curry$\OML/cmm/m/it/10 ;$ \OT1/cmr/m/it/10 un-folded case []prod[]curry curry[]case[]prod$\OML/cmm/m/it/10 ;$ Overfull \hbox (17.9584pt too wide) in paragraph at lines 2028--2029 [][] \OT1/cmr/m/it/10 fixp[]preserves[]mcont[]uc$\OT1/cmr/m/n/10 [$\OT1/cmr/m/ it/10 of case[]prod [] curry$\OML/cmm/m/it/10 ;$ \OT1/cmr/m/it/10 un-folded cas e[]prod[]curry curry[]case[]prod$\OML/cmm/m/it/10 ;$ [16] [17] Overfull \hbox (10.79999pt too wide) in paragraph at lines 2192--2195 [][] \OT1/cmr/bx/n/10 hence \OT1/cmr/m/it/10 chain$ [] $$ [] $$ [] $$\OT1/ cmr/m/n/10 :$ \OT1/cmr/m/it/10 Complete[]Partial[]Order$\OML/cmm/m/it/10 :$\OT1 /cmr/m/it/10 chain op $\OMS/cmsy/m/n/10 v$ $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 f ` ?Y$\OT1/cmr/m/n/10 )$ \OT1/cmr/bx/n/10 by$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/1 0 rule chain[]subset$\OT1/cmr/m/n/10 )$ Overfull \hbox (14.49388pt too wide) in paragraph at lines 2207--2209 [][] \OT1/cmr/bx/n/10 by$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 rule c$\OML/ cmm/m/it/10 :$\OT1/cmr/m/it/10 antisym$\OT1/cmr/m/n/10 )$$($\OT1/cmr/m/it/10 bl ast in-tro$\OT1/cmr/m/n/10 :$ \OT1/cmr/m/it/10 c$\OML/cmm/m/it/10 :$\OT1/cmr/m/ it/10 ccpo[]Sup[]least$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF chain$ [] $$ [] $$ [] $$\OT1/cmr/m/n/10 ]$ \OT1/cmr/m/it/10 c$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 ccpo[]Sup[]upper$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Overfull \hbox (49.17293pt too wide) in paragraph at lines 2242--2255 [][]\OT1/cmr/bx/n/10 by$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 rule ccpo$\OML/cmm/m /it/10 :$\OT1/cmr/m/it/10 mcont[]const$\OT1/cmr/m/n/10 )$$($\OT1/cmr/m/it/10 ru le Partial[]Function$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [ $\OT1/cmr/m/it/10 OF partial[]function[]definitions[]axioms$\OT1/cmr/m/n/10 ]$$ )$[] Overfull \hbox (1.96896pt too wide) in paragraph at lines 2260--2261 [][] \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 cont[]const$\OT 1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m/it/10 :$\OT1/cm r/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF partial[]function[]definit ions[]axioms$\OT1/cmr/m/n/10 ]$$]$[] Overfull \hbox (128.17523pt too wide) in paragraph at lines 2283--2285 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 mcont2mcont$ [] $ $\OT1/cmr/m/n/10 =$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 mcont2mcont$ [] $ $\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m/it/10 :$\OT 1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF partial[]function[]def initions[]axioms$\OT1/cmr/m/n/10 ]$$]$[] Overfull \hbox (122.56412pt too wide) in paragraph at lines 2285--2287 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 mcont2mcont $\OT1/cmr/m/n/10 =$ \O T1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 mcont2mcont$\OT1/cmr/m/ n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/1 0 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF partial[]function[]definitions[]ax ioms$\OT1/cmr/m/n/10 ]$$]$[] Overfull \hbox (31.55771pt too wide) in paragraph at lines 2288--2290 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 fixp[]preserves[]mono1 $\OT1/cmr/m /n/10 =$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 fixp[]preser ves[]mono1$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m/i t/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Overfull \hbox (31.55771pt too wide) in paragraph at lines 2290--2292 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 fixp[]preserves[]mono2 $\OT1/cmr/m /n/10 =$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 fixp[]preser ves[]mono2$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m/i t/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Overfull \hbox (31.55771pt too wide) in paragraph at lines 2292--2294 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 fixp[]preserves[]mono3 $\OT1/cmr/m /n/10 =$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 fixp[]preser ves[]mono3$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m/i t/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Overfull \hbox (31.55771pt too wide) in paragraph at lines 2294--2296 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 fixp[]preserves[]mono4 $\OT1/cmr/m /n/10 =$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 fixp[]preser ves[]mono4$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m/i t/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Overfull \hbox (36.1576pt too wide) in paragraph at lines 2296--2298 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 fixp[]preserves[]mcont1 $\OT1/cmr/ m/n/10 =$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 fixp[]prese rves[]mcont1$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m /it/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Overfull \hbox (36.1576pt too wide) in paragraph at lines 2298--2300 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 fixp[]preserves[]mcont2 $\OT1/cmr/ m/n/10 =$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 fixp[]prese rves[]mcont2$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m /it/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF [18] Overfull \hbox (36.1576pt too wide) in paragraph at lines 2300--2302 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 fixp[]preserves[]mcont3 $\OT1/cmr/ m/n/10 =$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 fixp[]prese rves[]mcont3$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m /it/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Overfull \hbox (36.1576pt too wide) in paragraph at lines 2302--2304 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 fixp[]preserves[]mcont4 $\OT1/cmr/ m/n/10 =$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 fixp[]prese rves[]mcont4$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m 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[21] Overfull \hbox (132.36125pt too wide) in paragraph at lines 2827--2829 [][]\OT1/cmr/bx/n/10 lemmas $\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 cont[]intro$\OM L/cmm/m/it/10 ;$ \OT1/cmr/m/it/10 simp$\OT1/cmr/m/n/10 ]$ $=$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 compact[]bot$\OT1/cmr/m/n/10 [$\OT1/cm r/m/it/10 OF Partial[]Function$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cm r/m/n/10 [$\OT1/cmr/m/it/10 OF partial[]function[]definitions[]axioms$\OT1/cmr/ m/n/10 ]$$]$[] [22] Package hyperref Warning: Token not allowed in a PDF string (PDFDocEncoding): (hyperref) removing `\sfcode' on input line 2931. 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[23] Overfull \hbox (8.39821pt too wide) in paragraph at lines 2976--2978 [][]\OT1/cmr/bx/n/10 lemma $\OT1/cmr/m/n/10 ($\OT1/cmr/bx/n/10 in \OT1/cmr/m/it /10 partial[]function[]definitions$\OT1/cmr/m/n/10 )$ \OT1/cmr/m/it/10 lub[]sin gleton $\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 cont[]intro$\OML/cmm/m/it/10 ;$ \OT1 /cmr/m/it/10 simp$\OT1/cmr/m/n/10 ]$$:$ \OT1/cmr/m/it/10 lub[]singleton Overfull \hbox (51.54703pt too wide) in paragraph at lines 2978--2991 [][]\OT1/cmr/bx/n/10 by$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 rule ccpo$\OML/cmm/m /it/10 :$\OT1/cmr/m/it/10 lub[]singleton$\OT1/cmr/m/n/10 )$$($\OT1/cmr/m/it/10 rule Partial[]Function$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF partial[]function[]definitions[]axioms$\OT1/cmr/m/n/10 ] $$)$[] [24] [25] Overfull \hbox (57.17155pt too wide) in paragraph at lines 3392--3406 [][]\OT1/cmr/bx/n/10 using \OT1/cmr/m/it/10 a b c \OT1/cmr/bx/n/10 by$\OT1/cmr/ m/n/10 ($\OT1/cmr/m/it/10 blast in-tro$\OT1/cmr/m/n/10 :$ \OT1/cmr/m/it/10 mono tone[]rel[]prodI dest$\OT1/cmr/m/n/10 :$ \OT1/cmr/m/it/10 monotone[]rel[]prodD1 monotone[]rel[]prodD2$\OT1/cmr/m/n/10 )$[] [26] [27] [28] [29] Overfull \hbox (63.24362pt too wide) in paragraph at lines 3900--3913 [][]\OT1/cmr/bx/n/10 by$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 rule ccpo$\OML/cmm/m /it/10 :$\OT1/cmr/m/it/10 cont[]case[]prodI$\OT1/cmr/m/n/10 )$$($\OT1/cmr/m/it/ 10 rule Partial[]Function$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cmr/m/n /10 [$\OT1/cmr/m/it/10 OF partial[]function[]definitions[]axioms$\OT1/cmr/m/n/1 0 ]$$)$[] [30] [31] Overfull \hbox (1.34406pt too wide) in paragraph at lines 4244--4257 [][]\OT1/cmr/bx/n/10 by$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 best in-tro$\OT1/cmr /m/n/10 :$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 mcont2mcon t$ [] $$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF complete[]lattice[]ccpo$\OT1/cmr/ m/n/10 ]$ \OT1/cmr/m/it/10 mcont[]sup1 mcont[]sup2 [32] Overfull \hbox (1.5956pt too wide) in paragraph at lines 4349--4355 [][]\OT1/cmr/bx/n/10 declaration []\OT1/cmr/m/it/10 Partial[]Function$\OML/cmm/ m/it/10 :$\OT1/cmr/m/it/10 init lfp $\OT1/cmr/m/n/10 @$$\OMS/cmsy/m/n/10 f$\OT1 /cmr/m/it/10 term lfp$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 fixp[]fun$\OMS/cmsy/m /n/10 g$ $\OT1/cmr/m/n/10 @$$\OMS/cmsy/m/n/10 f$\OT1/cmr/m/it/10 term lfp$\OML/ cmm/m/it/10 :$\OT1/cmr/m/it/10 mono[]body$\OMS/cmsy/m/n/10 g$[] Overfull \hbox (7.72885pt too wide) in paragraph at lines 4384--4390 [][]\OT1/cmr/bx/n/10 declaration []\OT1/cmr/m/it/10 Partial[]Function$\OML/cmm/ m/it/10 :$\OT1/cmr/m/it/10 init gfp $\OT1/cmr/m/n/10 @$$\OMS/cmsy/m/n/10 f$\OT1 /cmr/m/it/10 term gfp$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 fixp[]fun$\OMS/cmsy/m /n/10 g$ $\OT1/cmr/m/n/10 @$$\OMS/cmsy/m/n/10 f$\OT1/cmr/m/it/10 term gfp$\OML/ cmm/m/it/10 :$\OT1/cmr/m/it/10 mono[]body$\OMS/cmsy/m/n/10 g$[] [33] [34] [35] Overfull \hbox (45.8011pt too wide) in paragraph at lines 4919--4926 [][]\OT1/cmr/bx/n/10 qed$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 auto 4 4 simp add$\ OT1/cmr/m/n/10 :$ \OT1/cmr/m/it/10 prod[]lub[]def in-tro$\OT1/cmr/m/n/10 :$ \OT 1/cmr/m/it/10 a$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 ccpo[]Sup[]upper b$\OML/cmm /m/it/10 :$\OT1/cmr/m/it/10 ccpo[]Sup[]upper a$\OML/cmm/m/it/10 :$\OT1/cmr/m/it /10 ccpo[]Sup[]least [36] Overfull \hbox (14.7741pt too wide) in paragraph at lines 5003--5005 [][] \OT1/cmr/bx/n/10 by$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 rule admissibl e[]leI$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF ccpo[]rel[]prodI$\OT1/cmr/m/n/10 ] $$)$$($\OT1/cmr/m/it/10 auto simp add$\OT1/cmr/m/n/10 :$ \OT1/cmr/m/it/10 prod[ ]lub[]def chain[]empty Overfull \hbox (10.33287pt too wide) in paragraph at lines 5013--5015 [][] \OT1/cmr/bx/n/10 by$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 rule admissibl e[]leI$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF a$\OT1/cmr/m/n/10 ]$$)$$($\OT1/cmr /m/it/10 auto in-tro$\OT1/cmr/m/n/10 :$ \OT1/cmr/m/it/10 a$\OML/cmm/m/it/10 :$\ OT1/cmr/m/it/10 ccpo[]Sup[]least simp add$\OT1/cmr/m/n/10 :$ \OT1/cmr/m/it/10 c hain[]empty$\OT1/cmr/m/n/10 )$[] Overfull \hbox (9.0388pt too wide) in paragraph at lines 5034--5036 [][] \OT1/cmr/bx/n/10 by$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 rule admissibl e[]leI$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF b$\OT1/cmr/m/n/10 ]$$)$$($\OT1/cmr /m/it/10 auto in-tro$\OT1/cmr/m/n/10 :$ \OT1/cmr/m/it/10 b$\OML/cmm/m/it/10 :$\ OT1/cmr/m/it/10 ccpo[]Sup[]least simp add$\OT1/cmr/m/n/10 :$ \OT1/cmr/m/it/10 c hain[]empty$\OT1/cmr/m/n/10 )$[] [37] Overfull \hbox (3.33423pt too wide) in paragraph at lines 5085--5086 [][] \OT1/cmr/bx/n/10 and \OT1/cmr/m/it/10 adm$\OT1/cmr/m/n/10 :$ \OT1/cmr/m/i t/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 admissible $\OT1/cmr/m/n/10 ($\OT 1/cmr/m/it/10 prod[]lub $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 fun[]lub luba$\OT1/ cmr/m/n/10 )$ $($\OT1/cmr/m/it/10 fun[]lub lubb$\OT1/cmr/m/n/10 )$$)$ $($\OT1/c mr/m/it/10 rel[]prod $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 fun[]ord Overfull \hbox (117.64188pt too wide) in paragraph at lines 5097--5099 [][]\OT1/cmr/bx/n/10 apply$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 rule parallel[]fi xp[]induct$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF partial[]function[]definitions $\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF a$\OT1/cmr/m/n/10 ]$ \OT1/cmr/m/it/10 partial[]function[]definitions$\OML/cmm/ m/it/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF [38] Overfull \hbox (9.0053pt too wide) in paragraph at lines 5250--5251 []\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 mcont[]call[]fst $\OT1/cmr/m/n/10 [$ \OT1/cmr/m/it/10 cont[]intro$\OT1/cmr/m/n/10 ]$ $=$ \OT1/cmr/m/it/10 mcont[]cal l$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 THEN mcont2mcont$\OML/cmm/m/it/10 ;$ \OT1/ cmr/m/it/10 OF mcont[]fst$\OT1/cmr/m/n/10 ]$[] Overfull \hbox (17.86363pt too wide) in paragraph at lines 5251--5253 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 mcont[]call[]snd $\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 cont[]intro$\OT1/cmr/m/n/10 ]$ $=$ \OT1/cmr/m/it/10 mcont[]c all$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 THEN mcont2mcont$\OML/cmm/m/it/10 ;$ \OT 1/cmr/m/it/10 OF mcont[]snd$\OT1/cmr/m/n/10 ]$[] ) (./MFMC_Misc.tex) (./Max_Flow_Min_Cut_Countable.tex)) (./root.bbl) [39] (./root.aux) LaTeX Warning: There were undefined references. LaTeX Warning: Label(s) may have changed. Rerun to get cross-references right. ) (see the transcript file for additional information) Output written on root.pdf (39 pages, 242592 bytes). Transcript written on root.log. This is pdfTeX, Version 3.14159265-2.6-1.40.15 (TeX Live 2015/dev/Debian) (preloaded format=pdflatex) restricted \write18 enabled. entering extended mode LaTeX2e <2014/05/01> Babel <3.9l> and hyphenation patterns for 79 languages loaded. 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Overfull \hbox (34.60019pt too wide) in paragraph at lines 1037--1038 [][] \OT1/cmr/m/it/10 REPEAT[]ALL[]NEW $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 res olve[]tac ctxt $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 rev $\OT1/cmr/m/n/10 ($\OT1/ cmr/m/it/10 Named[]Theorems$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 get ctxt $\OT1/ cmr/m/n/10 @$$\OMS/cmsy/m/n/10 f$\OT1/cmr/m/it/10 named[]theorems [9] [10] [11] Overfull \hbox (19.68684pt too wide) in paragraph at lines 1374--1387 [][]\OT1/cmr/bx/n/10 by$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 rule contI$\OT1/cmr/ m/n/10 )$$($\OT1/cmr/m/it/10 drule chain[]fun[]ordD$\OT1/cmr/m/n/10 [$\OT1/cmr/ bx/n/10 where \OT1/cmr/m/it/10 x$\OT1/cmr/m/n/10 =$\OT1/cmr/m/it/10 x$\OT1/cmr/ m/n/10 ]$$\OML/cmm/m/it/10 ;$ \OT1/cmr/m/it/10 simp add$\OT1/cmr/m/n/10 :$ \OT1 /cmr/m/it/10 fun[]lub[]apply image[]image [12] [13] [14] (/usr/share/texlive/texmf-dist/tex/latex/base/omscmr.fd) [15] Overfull \hbox (15.65846pt too wide) in paragraph at lines 2016--2017 [][] \OT1/cmr/m/it/10 fixp[]preserves[]mono[]uc$\OT1/cmr/m/n/10 [$\OT1/cmr/m/i t/10 of case[]prod [] curry$\OML/cmm/m/it/10 ;$ \OT1/cmr/m/it/10 un-folded case []prod[]curry curry[]case[]prod$\OML/cmm/m/it/10 ;$ Overfull \hbox (17.9584pt too wide) in paragraph at lines 2028--2029 [][] \OT1/cmr/m/it/10 fixp[]preserves[]mcont[]uc$\OT1/cmr/m/n/10 [$\OT1/cmr/m/ it/10 of case[]prod [] curry$\OML/cmm/m/it/10 ;$ \OT1/cmr/m/it/10 un-folded cas e[]prod[]curry curry[]case[]prod$\OML/cmm/m/it/10 ;$ [16] [17] Overfull \hbox (10.79999pt too wide) in paragraph at lines 2192--2195 [][] \OT1/cmr/bx/n/10 hence \OT1/cmr/m/it/10 chain$ [] $$ [] $$ [] $$\OT1/ cmr/m/n/10 :$ \OT1/cmr/m/it/10 Complete[]Partial[]Order$\OML/cmm/m/it/10 :$\OT1 /cmr/m/it/10 chain op $\OMS/cmsy/m/n/10 v$ $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 f ` ?Y$\OT1/cmr/m/n/10 )$ \OT1/cmr/bx/n/10 by$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/1 0 rule chain[]subset$\OT1/cmr/m/n/10 )$ Overfull \hbox (14.49388pt too wide) in paragraph at lines 2207--2209 [][] \OT1/cmr/bx/n/10 by$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 rule c$\OML/ cmm/m/it/10 :$\OT1/cmr/m/it/10 antisym$\OT1/cmr/m/n/10 )$$($\OT1/cmr/m/it/10 bl ast in-tro$\OT1/cmr/m/n/10 :$ \OT1/cmr/m/it/10 c$\OML/cmm/m/it/10 :$\OT1/cmr/m/ it/10 ccpo[]Sup[]least$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF chain$ [] $$ [] $$ [] $$\OT1/cmr/m/n/10 ]$ \OT1/cmr/m/it/10 c$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 ccpo[]Sup[]upper$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Overfull \hbox (49.17293pt too wide) in paragraph at lines 2242--2255 [][]\OT1/cmr/bx/n/10 by$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 rule ccpo$\OML/cmm/m /it/10 :$\OT1/cmr/m/it/10 mcont[]const$\OT1/cmr/m/n/10 )$$($\OT1/cmr/m/it/10 ru le Partial[]Function$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [ $\OT1/cmr/m/it/10 OF partial[]function[]definitions[]axioms$\OT1/cmr/m/n/10 ]$$ )$[] Overfull \hbox (1.96896pt too wide) in paragraph at lines 2260--2261 [][] \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 cont[]const$\OT 1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m/it/10 :$\OT1/cm r/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF partial[]function[]definit ions[]axioms$\OT1/cmr/m/n/10 ]$$]$[] Overfull \hbox (128.17523pt too wide) in paragraph at lines 2283--2285 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 mcont2mcont$ [] $ $\OT1/cmr/m/n/10 =$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 mcont2mcont$ [] $ $\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m/it/10 :$\OT 1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF partial[]function[]def initions[]axioms$\OT1/cmr/m/n/10 ]$$]$[] Overfull \hbox (122.56412pt too wide) in paragraph at lines 2285--2287 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 mcont2mcont $\OT1/cmr/m/n/10 =$ \O T1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 mcont2mcont$\OT1/cmr/m/ n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/1 0 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF partial[]function[]definitions[]ax 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fixp[]preser ves[]mono3$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m/i t/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Overfull \hbox (31.55771pt too wide) in paragraph at lines 2294--2296 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 fixp[]preserves[]mono4 $\OT1/cmr/m /n/10 =$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 fixp[]preser ves[]mono4$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m/i t/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Overfull \hbox (36.1576pt too wide) in paragraph at lines 2296--2298 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 fixp[]preserves[]mcont1 $\OT1/cmr/ m/n/10 =$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 fixp[]prese rves[]mcont1$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Partial[]Function$\OML/cmm/m /it/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF Overfull \hbox (36.1576pt too wide) in paragraph at lines 2298--2300 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\OT1/cmr/m/it/10 mono tone[]rel[]prodI dest$\OT1/cmr/m/n/10 :$ \OT1/cmr/m/it/10 monotone[]rel[]prodD1 monotone[]rel[]prodD2$\OT1/cmr/m/n/10 )$[] [26] [27] [28] [29] Overfull \hbox (63.24362pt too wide) in paragraph at lines 3900--3913 [][]\OT1/cmr/bx/n/10 by$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 rule ccpo$\OML/cmm/m /it/10 :$\OT1/cmr/m/it/10 cont[]case[]prodI$\OT1/cmr/m/n/10 )$$($\OT1/cmr/m/it/ 10 rule Partial[]Function$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cmr/m/n /10 [$\OT1/cmr/m/it/10 OF partial[]function[]definitions[]axioms$\OT1/cmr/m/n/1 0 ]$$)$[] [30] [31] Overfull \hbox (1.34406pt too wide) in paragraph at lines 4244--4257 [][]\OT1/cmr/bx/n/10 by$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 best in-tro$\OT1/cmr /m/n/10 :$ \OT1/cmr/m/it/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 mcont2mcon t$ [] $$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF complete[]lattice[]ccpo$\OT1/cmr/ m/n/10 ]$ \OT1/cmr/m/it/10 mcont[]sup1 mcont[]sup2 [32] Overfull \hbox (1.5956pt too wide) in paragraph at lines 4349--4355 [][]\OT1/cmr/bx/n/10 declaration []\OT1/cmr/m/it/10 Partial[]Function$\OML/cmm/ m/it/10 :$\OT1/cmr/m/it/10 init lfp $\OT1/cmr/m/n/10 @$$\OMS/cmsy/m/n/10 f$\OT1 /cmr/m/it/10 term lfp$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 fixp[]fun$\OMS/cmsy/m /n/10 g$ $\OT1/cmr/m/n/10 @$$\OMS/cmsy/m/n/10 f$\OT1/cmr/m/it/10 term lfp$\OML/ cmm/m/it/10 :$\OT1/cmr/m/it/10 mono[]body$\OMS/cmsy/m/n/10 g$[] Overfull \hbox (7.72885pt too wide) in paragraph at lines 4384--4390 [][]\OT1/cmr/bx/n/10 declaration []\OT1/cmr/m/it/10 Partial[]Function$\OML/cmm/ m/it/10 :$\OT1/cmr/m/it/10 init gfp $\OT1/cmr/m/n/10 @$$\OMS/cmsy/m/n/10 f$\OT1 /cmr/m/it/10 term gfp$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 fixp[]fun$\OMS/cmsy/m /n/10 g$ $\OT1/cmr/m/n/10 @$$\OMS/cmsy/m/n/10 f$\OT1/cmr/m/it/10 term gfp$\OML/ cmm/m/it/10 :$\OT1/cmr/m/it/10 mono[]body$\OMS/cmsy/m/n/10 g$[] [33] [34] [35] Overfull \hbox (45.8011pt too wide) in paragraph at lines 4919--4926 [][]\OT1/cmr/bx/n/10 qed$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 auto 4 4 simp add$\ OT1/cmr/m/n/10 :$ \OT1/cmr/m/it/10 prod[]lub[]def in-tro$\OT1/cmr/m/n/10 :$ \OT 1/cmr/m/it/10 a$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 ccpo[]Sup[]upper b$\OML/cmm /m/it/10 :$\OT1/cmr/m/it/10 ccpo[]Sup[]upper a$\OML/cmm/m/it/10 :$\OT1/cmr/m/it /10 ccpo[]Sup[]least [36] Overfull \hbox (14.7741pt too wide) in paragraph at lines 5003--5005 [][] \OT1/cmr/bx/n/10 by$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 rule admissibl e[]leI$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF ccpo[]rel[]prodI$\OT1/cmr/m/n/10 ] $$)$$($\OT1/cmr/m/it/10 auto simp add$\OT1/cmr/m/n/10 :$ \OT1/cmr/m/it/10 prod[ ]lub[]def chain[]empty Overfull \hbox (10.33287pt too wide) in paragraph at lines 5013--5015 [][] \OT1/cmr/bx/n/10 by$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 rule admissibl e[]leI$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF a$\OT1/cmr/m/n/10 ]$$)$$($\OT1/cmr /m/it/10 auto in-tro$\OT1/cmr/m/n/10 :$ \OT1/cmr/m/it/10 a$\OML/cmm/m/it/10 :$\ OT1/cmr/m/it/10 ccpo[]Sup[]least simp add$\OT1/cmr/m/n/10 :$ \OT1/cmr/m/it/10 c hain[]empty$\OT1/cmr/m/n/10 )$[] Overfull \hbox (9.0388pt too wide) in paragraph at lines 5034--5036 [][] \OT1/cmr/bx/n/10 by$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 rule admissibl e[]leI$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF b$\OT1/cmr/m/n/10 ]$$)$$($\OT1/cmr /m/it/10 auto in-tro$\OT1/cmr/m/n/10 :$ \OT1/cmr/m/it/10 b$\OML/cmm/m/it/10 :$\ OT1/cmr/m/it/10 ccpo[]Sup[]least simp add$\OT1/cmr/m/n/10 :$ \OT1/cmr/m/it/10 c hain[]empty$\OT1/cmr/m/n/10 )$[] [37] Overfull \hbox (3.33423pt too wide) in paragraph at lines 5085--5086 [][] \OT1/cmr/bx/n/10 and \OT1/cmr/m/it/10 adm$\OT1/cmr/m/n/10 :$ \OT1/cmr/m/i t/10 ccpo$\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 admissible $\OT1/cmr/m/n/10 ($\OT 1/cmr/m/it/10 prod[]lub $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 fun[]lub luba$\OT1/ cmr/m/n/10 )$ $($\OT1/cmr/m/it/10 fun[]lub lubb$\OT1/cmr/m/n/10 )$$)$ $($\OT1/c mr/m/it/10 rel[]prod $\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 fun[]ord Overfull \hbox (117.64188pt too wide) in paragraph at lines 5097--5099 [][]\OT1/cmr/bx/n/10 apply$\OT1/cmr/m/n/10 ($\OT1/cmr/m/it/10 rule parallel[]fi xp[]induct$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF partial[]function[]definitions $\OML/cmm/m/it/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF a$\OT1/cmr/m/n/10 ]$ \OT1/cmr/m/it/10 partial[]function[]definitions$\OML/cmm/ m/it/10 :$\OT1/cmr/m/it/10 ccpo$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 OF [38] Overfull \hbox (9.0053pt too wide) in paragraph at lines 5250--5251 []\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 mcont[]call[]fst $\OT1/cmr/m/n/10 [$ \OT1/cmr/m/it/10 cont[]intro$\OT1/cmr/m/n/10 ]$ $=$ \OT1/cmr/m/it/10 mcont[]cal l$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 THEN mcont2mcont$\OML/cmm/m/it/10 ;$ \OT1/ cmr/m/it/10 OF mcont[]fst$\OT1/cmr/m/n/10 ]$[] Overfull \hbox (17.86363pt too wide) in paragraph at lines 5251--5253 [][]\OT1/cmr/bx/n/10 lemmas \OT1/cmr/m/it/10 mcont[]call[]snd $\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 cont[]intro$\OT1/cmr/m/n/10 ]$ $=$ \OT1/cmr/m/it/10 mcont[]c all$\OT1/cmr/m/n/10 [$\OT1/cmr/m/it/10 THEN mcont2mcont$\OML/cmm/m/it/10 ;$ \OT 1/cmr/m/it/10 OF mcont[]snd$\OT1/cmr/m/n/10 ]$[] ) (./MFMC_Misc.tex) (./Max_Flow_Min_Cut_Countable.tex)) (./root.bbl) [39] (./root.aux) ) (see the transcript file for additional information) Output written on root.pdf (39 pages, 242477 bytes). Transcript written on root.log. *** Failed to load theory "Rel_PMF_Characterisation" (unresolved "Max_Flow_Min_Cut_Countable") *** Type unification failed: Clash of types "ennreal" and "ereal" *** *** Type error in application: incompatible operand type *** *** Operator: op = (d_OUT g x) :: ereal \ bool *** Operand: \\<^sup>+ y. g (x, y) :: ennreal *** *** Coercion Inference: *** *** Local coercion insertion on the operand failed: *** "ennreal" is not a subtype of "ereal" *** *** Now trying to infer coercions globally. *** *** Coercion inference failed: *** uncomparable types in type list *** *** Cannot fulfil subtype constraints: *** ('v \ 'v \ ereal) \ 'v \ ??'a *** <: *** ('v \ 'v \ ereal) *** \ 'v \ ereal *** from function application *** d_OUT::('v \ 'v \ ereal) *** \ 'v \ ereal *** ennreal <: ennreal from function application *** d_OUT g x = (\\<^sup>+ y. g (x, y)) *** ereal <: ennreal from function application op = (d_OUT g x) *** ('v \ 'v \ ereal) \ 'v \ ereal *** <: *** ('v \ 'v \ ??'a) \ 'v \ ereal *** from function application *** d_OUT::('v \ 'v \ ??'a) *** \ 'v \ ereal *** ('v \ 'v \ ereal) \ 'v \ ??'a *** <: *** ('v \ 'v \ ereal) *** \ 'v \ ereal *** from function application *** d_OUT::('v \ 'v \ ereal) *** \ 'v \ ereal *** ('v \ 'v \ ereal) \ 'v \ ereal *** <: *** ('v \ 'v \ ??'a) \ 'v \ ereal *** from function application *** d_OUT::('v \ 'v \ ??'a) *** \ 'v \ ereal *** 'v \ 'v \ ??'a <: 'v \ 'v \ ??'b *** from function application d_OUT g *** 'v \ 'v \ ??'a <: 'v \ 'v \ ??'b *** from function application g::'v \ 'v \ ??'b *** 'v \ ennreal <: 'v \ ennreal *** from function application \\<^sup>+ y. g (x, y) *** 'v \ ennreal <: 'v \ ennreal *** from function application *** (\y. g (x, y))::'v \ ennreal *** 'v \ 'v \ ??'a <: *** 'v \ 'v \ ennreal from function application *** g::'v \ 'v \ ennreal *** At command "definition" (line 155 of "~~/afp/thys/MFMC_Countable/Max_Flow_Min_Cut_Countable.thy") *** Undefined fact: "split_if_asm" (line 108 of "~~/afp/thys/MFMC_Countable/Max_Flow_Min_Cut_Countable.thy") *** At command "by" (line 108 of "~~/afp/thys/MFMC_Countable/Max_Flow_Min_Cut_Countable.thy") *** Undefined fact: "split_if_asm" (line 96 of "~~/afp/thys/MFMC_Countable/MFMC_Misc.thy") *** At command "by" (line 96 of "~~/afp/thys/MFMC_Countable/MFMC_Misc.thy")