SQLite format 3@  .  B p--tableisabelle_exportsisabelle_exportsCREATE TABLE "isabelle_exports" ("session_name" TEXT NOT NULL, "theory_name" TEXT NOT NULL, "name" TEXT NOT NULL, "compressed" INTEGER, "body" BLOB, PRIMARY KEY (session_name, theory_name, name))?S-indexsqlite_autoindex_isabelle_exports_1isabelle_exportsh77otableisabelle_session_infoisabelle_session_infoCREATE TABLE "isabelle_session_info" ("session_name" TEXT NOT NULL, "session_timing" BLOB, "command_timings" BLOB, "theory_timings" BLOB, "ml_statistics" BLOB, "task_statistics" BLOB, "errors" BLOB, "sources" TEXT, "input_heaps" TEXT, "output_heap" TEXT, "return_code" INTEGER, PRIMARY KEY (session_name))I]7indexsqlite_autoindex_isabelle_session_info_1isabelle_session_info  ^5 4 ] Lower_Semicontinuous:threads=2elapsed=7.343cpu=12.388gc=0.320factor=1.697zXZִF! ]ŗXf1-/6vRZ;tZ6B%UbmVҼP@ѹI2B jD 0p0{Ё& +.r.a.s}WTπ u:;JlkﻠQP5aH r.(=Z -gYZ7zXZִF! ]K]ŗXiɟ$imC?Rvqb([~-G@!q^Z7FfPu^g^4}YZ7zXZִF! 79]ŗXi%; Gjc -*q/|6Ӆ @(~بTV<uLHFh=Jlw&7L]Y0,j&$-eNzc!K^p*} p`z6ipێ9G_sSń98[F2WK1&Oӗ|j-KKZPc}],Η hu<!J܇$|"n%AKQıLTy7 2tpD`~ǵcjfwWQ{eyxf1.էDY/qL{!m%B f <빢4C%@kG-2Tar{)~]@x~u?}?Rz0/-wͪ?)4d/Q妹_(^H&^_'}wW^¿V+ن+S" :H3z=vA?K[-W.xr<|6)v8LmnN% dlt0cbÃyšߔnS{W|\VDRE­B! S&ٰۣ]ӖtW O̫]WM*OKTmp:uy½zCTnvFl M`Jː.kZeT>.PO(Grj/n)BqgYZ46d79f3e04a76945570107c3680dccaea28d27810a2434114e0f5ff2a700b4a6f5d894a41f7c1240 80050be4066a2dc41dde228522a53110fc50a122 baca57aba4a2608ff9db48236e40910e56e61fe9 5 Lower_Semicontinuous  5_% lLower_SemicontinuousLower_Semicontinuous.Lower_Semicontinuousdocument.tex7zXZִF! Pto]A-MՋhvG"uIBm5&1ԙ_ Xb4O*215[G앺̩v8@k/17t-MH@)Hٝ˭LDAoW/Nm`!_c&VGL~,$uE<%lDTIqkaA:(4MgQiH^L(gWp0 ;z6SWA0Ձ1om\lYHGC +Bq߃i⥣q }ՆI~GIq#Yiso4r 0\D_~۪?\ Bb?0o#V<}mA /V"ҩC>z0n[Th~|-jZ65|frd)r.oo,UZ_d;G<9" Nޯ&/M_ٮݒE%y9yx T+جf"2FB[SByGN%K>+OϭG~:TJ[lDOhci"?N'*nfFq%4EC[+(f$ƙWU)`+'Mp6D#MX MJ $'yZsBLf/Bd*1m @“t"j*U] '*PgE߯]ߺe͍^`|ЎpYʚ(V ! ΫLީ2эM rq.\yr>fl\1A؈kigydsmUY؅%߂lw}3==4 ~J)ipT2YyM8MWKi"e: (z?ĿdSc hJ1WNhlFEI ]#=QgܑCR&ZY5V k"MIȝ}[؏K-Jא0# W6`|5|_)w{<@Wd{#PF QXb <7p5bBy! 8oD ]t3C3eT`–K @.LkP@J6dwu7?jS/QDfs͘u>5 N5_% Lower_SemicontinuousLower_Semicontinuous.Lower_Semicontinuousdocument.texQ=݁FKѓsa3Q=4=nkR $)6 9vk砕D]X/.̝` $_u(ꢴ"JQ so6npNo&GceFbϪᠵ7ҞIX4@(QR :G@ 5'Z'o>BY$h`Y)V /sʣbF qs4_'!e oke:eKb ~y>/NJ&lh6a6SHLA\&tn0Lx՝~:D$$jZ^z2Cʧ f[(G&Wa` ^ X=澈"cv$BQI-Hjo+v1u3}=Ol&JhilbA&MǼdM t8~Hy}IJk? ɰexvMbsOQV(ٚF)jͱjk] ^9pD r߹Q bWQechlۼ?Lg o? @egl!WT“#BK)f:ޗ,SS$j#5ezY-]cn1-cOf30=Lnpvu⣙迴TI%d4{w݅)J@k,nzw?.sJ6);Zy>D53/V{IAv*d:Wfޟ/`Y]ɧW+{,HV Jj dO%wlZ 5ƢF𳿝7)NCqL*sx >ȁ S 0p'z%jhSo- K% N,4îg/]q-;fl өnW*~,I hpؓVu(F XE/% >L5(>MEx-iR bLWζ Ps<Im&0r.z3$V=&&L 6,7?mHRQd%Óp!R JcxlvSej''(ː[֌8bhqwde+rv\P\/@,8LnMUJD"%[)]h/gzd#z/:bn,"2{җ(yEVN8N0 ?gFzzyG]\'⏸nfu&E㠷z?>}Z8ݡb8^af܄mupqV4u33:@:r!ӝ^^GSx(ҽ"s+n㶘-{?ww]"gLP?J#бvW6dwvViOB,b 3EF+-'V )E4BhsYF6TPo^N Jݷ ED5Uqr5Y,9yݹt4J~n4^UOWN9C݂>s#\xdtGj (-t™w 8+ZL)ZrC!0s_=&&JZ贕~ӊ+qbbJ֢)L P!'X2[߸s-@KCU7!?QuPZ d9v-yՆk-Hz1I0Ӣp2tf^FV&['Oɼ҇!<>~Ͷ4:΁L'kOa<5DEgʷ#uUSʌ}VޘNlRԺڈvף T1|ggF0hUȖQs`<иb B]ITc!!Ƴscݝ$/ё?e\Kvh/c%?d9'1=bl*3g1Δf`1D'~\;dk.AOSJ88aܪNk?:.e~G|$f7sT2 $&Dako}rUgLWQ$HfRI@z8ꀵmP!d{ӕ#]y(ǧ@nIaCkTN$:6jooiIw}< ❚ 7q3^[,vސD*RW9x8Y= 'xg:NN!|`8DQ6 $Z_!yh" |ܟvM2QN;^-weqIr KN3,K}MnB@cl`1Q:r-,"\l?1K#/KW3&u& H 3ҲΪHr=W('P[DfT(T(RE2$囅|ZBwfh>r<#} |M8t6+?#|PT,FnޕFnk+ (~5WhG<27~w {@A2SP`LY5ufߺVB6dE3GXāREյz1$7ߦ zY~g>U=rT2d=IeImhT`& B;=vO.`XY\N5rb͟aHR 7l x׎W\WcxOֺM D\ꇷG܍3'ܛK6+rF`Ϧ$DJJuӮeCـN[{\M9̈́v&?GA[9B0ϡ_2Ox8(p0lظ| WrBز7 bY;P eq28}e蓨/o`h5ZUSpNEvQԬ]xj1j" Ė4Dl"rԻ-ۏ`4PV)k`>lKL?IƍA^,ӹiJ0(c!OL aTp2K5IJ>WD#b&9g1⚎b^*2t5G XB)* ]\FQ6E,tTe8*s3O6C 4Eo(va,Qrˬ:r I{7x*ɖ4gVnQJip/տ2.O"!~]}Una~_ 〺=9W|1di4]!1{%ncwxQU Vkki˳OJaB^ДN5/Z,*iXuld9Q֥Ԏ MZQtd .B2e3j@I6d}m&2ZnUMںȐ,KF޴qhz tU!1livv> $1xSRPC P' b|*A!;b1+y}]0a(lP& &m 6U cwhOQqKdѰ/![+ = xQp!鵬K"FfW *j̉8j0 7{~0|8acMPԒ`Vi1=C1WhXh!Nec#WZ:u%eD2S;+p0-VAFuJUp{b} tԍfN ?)`pΥ6՛( -wWhrπL8ctRF~$jBQϸ=|fRm-~*} 3- ->"#Kny,W;Nx4QbGz"=WvH*,Unh.T6^1Ҿ\/mkdm)J>O@;zIKp+c5?1^9 }$fI.HE:?^,/ N7&d` ڐa(zT [MfVwyՎC"uZ=סNali @Y7<3.-;;'XZoYg{Vf&zȰΤNg?69s"$<ߜwA%tWYXA]hen_!eKFZM9iTMv<0P N kԖ6;i8 9έlk~PVeXuu~7CH\j 1\?jxt~mh1|dk2H2 ֋[ͅ|g~q5%խnl6 pycMrd3@ /Q#O}Y:a+= 6޿i/fY @ aBRPz֤ *'ULɶI;T٘04CJR=3̢У־rωq@%Cu8gGHh`@Vf .j#qz^B"ge ,hFU]_ex#JWWI ˄q2lrytpŭ겾Ԥi@6\>Z:)G%>kD;wa_ 1L WdVW-5ôVFJ ,ӫ4AТ UP D|gz<R| ?ng\8*k9_lquSPDdV&$1}ȩjUP= \{,e& KCq*22 oNu.Fd;t61R$e-X4zgpa2kS{(uLϓ8"陒4sqdRn <d]m^Y2ȔRMvK5 hJf #}4YUEdhP |VW[p?0N8"p%'m0U#DAfKB4v{lztU-k+ʹZe1\%5x5*6-YA+Тg{K4":lx˃M$CӕlOCWۨjjZM:T"o4-F_l,K{/h+\[ +}~&k/6*o1](߫?^JCb F3A8uKWꋇ컋rNLLId0(E%QHDg'gPǶ0"j[>T;",d܅Pru#JmLB+܂6!G|!~eץ+8jld@DB3ܩExo,[07>5q0A=[E˱9VU|a z"Ѻq,VN,pb=eF숀@F5|T t]s)f`Yý=MG*Uja;e 5!0a̲!ƴoy.~|B]jΎR5lp"fq6PT+F=>7MzYhsH C |RTv:~.5u<P0>"H'JgW9`'k}F4ˇ[,BMwfI#iQ-hE+|k:˾t6Z|\tSlb Cz$~1:G)r>"] 2V7LlWdCnV4[&$6>eUk/jhr`&Yrx˙CEIR_ށ5Z x>Їz*jY :0!`v(VE Uˀ-9l2i+@C&[ 菂&EҍL#c;qhB I3y0(˸H8&g+iSB7y22>>I8dt(k✈3(8|5a^@м iqζ 3 ē|fؼ`̳VLJwE ܋#,Xx ڗԑ%9!GOyƙT\BR"\&D(|뎏8Q )zb>Y%Ϛ6!(Кc[.1+᥮w>_` T@.menDOm~; he]0'T.7Ciun.yKQ!t>Q!^QLͨUi~l@G!yy8L ߄Jnad(&8g$n0:U1ؒ3W ͤݍ/ޗuFamxu^'0O,nOY8=FZt5Hu?ly,,|J;Qc{%+omFxp6䣼Z9ːW?g B41MD,VV.Ei~!khD S^ V}KiY"-ޖstOJ=ӾĜz)3ĐBKIS+0YBp}FԌ|BA­= UR,ZSIk׏4R!; O'9e׆^. ѩza1D+]t}ހjf5lhRaUm h.o]`5~$T\G"⁴Budd໺qVZ?CAp&WTg\:v fuB X*cˍX -&~GsPR@8cFIESL:'D\tIK*u~\ߥ`sZ$cpL 뫼E꛵i2LS;8gExs/ K 6~LXrKS;0n/qze ݗ+}5SWZ4+vv2&S,>d`fig6S"g_'{#O`к@ăRG~r'XA`6M5NwElHN6]iq i %]:P_@R,hmp: S,YF/<7rOO o /iH{p+&%qgTz}}3R>n)+Ny-O;2׌D-v*54db0q%38K[Fi9d耙V<ઑDm/::O& P߽(Kю͞pq*Kv3^j ,2PƘ չ~ j 7Y V&ɰco joi=Ss 1 "Wp5gk?kTpp2 WLy8 *A!AYkle2Q.bobھ#|^!O=iZ&' 6h5%I.kb\KڒNEg1E*3/z> 2;/¢WBˮ_ڽ!4yP[p-}}_i4w_0f; -Q}If0GZZy 騡Q{: 7%aQUĕu|dmWŃR[Gw\־+WC'(C՛TZjZo*>C0." oiqH4 yʆDxuM?kBae =j&GԊa.Yc%NP+{20qHAH5; ҵO69HhQK R1EYOyyN4/2 i?%olゅ?KGꩃ_*ِclX'h.dyL>g;rx'eWLͻCs~ 2mJdPD`vN#J| {5}b e8L@av}'S. HфqIXP v˶9ѨHI/-٘O߯iUcS38.ZƱ#!k,#/3;\+-{; mbby/l b)  42'S<ܹX\3GIx)$ 4ף|7WA|k'}}5wm:0#Fx#Iey2YЯlK?s唳!- ϪIQBStv+tH=V퉘8JIR&%ZibbH~'ƐWwb )wX~əZ#d;uִDd{zo&R;y6|1AS?<\{$Z=k94]T>_.qW?nuz\r;)sCl]CG{ȹb֤e-'^KbQS6pQ܂C/DȵeWlBp :u^*˳g+䁚4(٭`r媳t+6EOQPDʨOюƘi]ur e(f̴onr-Fs??H4_ɗhxKtȼ`KTQOI" A*)r6 j7^ձ*E$&Qa y/NJ(M)]UkB[jp# 3NDZxfI;t ȵESS*>2i˙i MX)(:\7$zT,*H.13{ҺՙȽ5e%B/FN4-th#]@ф:UڦgrM>W[R .yeCL((2D X2lS [&訍("Nu fW1[+sQt @nޟCn1Ǹ6iQ֙Lq S>"aD9"v-ֱ0иYhQU%(NqG/d0.pVVyJi**<:®>Fwr ٩ ,S=(UXM&"Z8Ye,ҙ=)3> }tPLg0R~?#/z)$]`+M`@kh_Y۷5O١$KXUec5p趌ey:]Oe*[yKH# gZrLAg{91 HV]lF1|!_^o:P) z\1hBB>" ~K b1KշMSBMy>_87uQ`Ge.EPutehM,{Maʭ R 蔾U~߳+ks=<лRȀg=pˣy09Xhf4\$=^/@KD;?Ѻ7Vۤ=GD{+k!W-f[ 9uxKK Ao1xYN+BEy ju+*mUiw y&o8;X@ô_ Ӈ,'f uu0 qϤW>Z7 F~S8ĉ{t{8I+DڥrC 9(;o^ osf$rgZ] y?Vݨ"IE<&*|7[83 h?5~$$0hx&tK 4R~kyVzkP ;&ɌO֐QC?NcE\M qNU<)rFKY1ݜ!8<#R`Ҵ#t:`Ye@Y\z|T=;Qo) d)nP,ŋ0:@xo bWGۻ >&a:&>ZVvqXxy%4iz= )@{ SPǙ Jg)&%}drh 4JKTQKݾT-\Ysvc_q)mCSUV@uWT0| 1͗ż$Ka=@qVJX J5BN+v˜L8_+C$!X2_@cCt<ٖ-5'/5}WbldM{lJ z? @<=KnC!2]T1)nwwa c_Ĉ4]%}J=߈zY4ܲ*ѬL (Jĝ'j$:xn 9IVguX-} . #+L<-S뒊2be%j;/Zire3zO_dqHA>I Q̈[p*ڜVEI !/s_Пp踵t]D_ acԄ<ء\zg# b̮ P ֣~D.U@]1+"HKՇ"JQfG6Q<$Jy|۱QpkG ̼irpֻJXwo~# %Wg3IͶK%H"jaIQ,=qp rϺCqy;(7?y#0Om&4D@\=o9 u0ѕJŎ?RO*!"˃G7zxJءbscۊDe;E݃n؞3CpVbPCkDPg gru@W^(URt+<S'MdO@Yki / _wYc s9d9Ts)}9bBPLgfhB=∤|Zz}E٥+RoeҼL6총0I~;(lrT^*)2־PA{AID$(Ih,=(8?EQ.i:ŬTR@ņmZdJPR?mgf0T-D(@u̯.#Du7ot*nșNc4ֿ(8/ޕé`j rE9KC\/5S2%n}B: 9c?]KK"-dr#S D2fvӾZ V DtC%kSt6ﺃCE C#BxCskf sytN+3̍]c+\3HlMg$f3 }n`I`JuluH4jM7uz0v!sR{FC=+₹EyI+d K&8Ir4lo 'oB#,y"w#y$]RgUPE &{nv,lSLiٙj{V=+T,A ,]p#jZ2޹0D slv _l9I ;BzormU(=!+v\g;*D& u\>wq @Ŏ6H҉ E (UtZ wKGmq h=_b%p-K!<=P 1peox$k&. i|=4hoRhuI^k nSETiH,` :]sZQ)v@OQ/SǯB 3jO-YΑH|#RV~n(3F^iJD.`[/T\V- m_1&y_蕩\)ȊfA ƍ g6?*#Z@<.S\) gCΐWOVMlȮplCxj$N$@!) ?cc?w&{>QTk& X"_wbLZ#k$fDžmܰ)D20@x[.aT"c?W4p+Z_+wt4Y iT[%ۇphXrw<6< &i՝c PƹwKq8m! I1.ܭ+j ٖ}xiIڊY,wDw{9噉:DtDШ\O>|y:렉Z1} =% Zp'eo`;6rr b-!& (A9T#ѻbO `-BuwM pG*!( 9*Ρ8ipmИ[0C\_xmcBPLQl!rE%u o%YCT !ݲ4J$Gxo9bmĪ-k5+`̙O{cj:#Oe'* E/k[)_D (D' ce?򞚜,(?L) #LcwqC'|ЪM+FYl8mBBmI|o͞@P!&QA|gd],Hzpȳ2>L= J}:iN]%`}tZF;> GGF1;wNn_ gdFr2G+S $c! w/Sb-uo.`-`. GnIyMId;H̵9?%i!!ȰZ4xysX32%xM003$x޼j@\9% >pn4cMՇ9P:]`ش qR6jz:m, N<$or?م9Fu Њ rt_cQag: *t/|ߏJ<;mK"`x=aHei>~N9E$(J0[TOfof5?oR*uq=C1By#{vcj];(]D+XX!Ao fPQ'¥5Zt^s ǂB-Ce`s=n|9_l۔ٚ!v;"\gT[ [D,-xt c]jRӠ CgK?[(7]ٞ!:1nrF ҢGࡃzg)oº1PR9}vߴrhшYMD~6)Zy&f!sD6ʧ䊤ωUPO{ݗff>}l[ƫuzPo}M"梀i<> Rd7ߔ61ow>oݱތ4z;^ @n,\-9^Kv%YB9t+V_0i~eomA3J@F0Xv __z* "ɜ1_v_4gY8˓WjC!KUުs_u$F[$|X"_QAeZ;^Nvhn0wn ػ-RJF}ֽ+*;G_AnRphѐW<3 2Npb),֤[-uK픗\z>!*Bt&=:ztѫ!徬-@ǔҘًU:SB%{h K]ؗvj؇ ]ݏhqFӪU6VpӬƮPVȔ!̤g(Ykdr{*1"![@eaw~e>soj.rmt"9b-UB^D$botOuWu<1)Q+z))Vg!qKOn=),%A*ޗx0.ۘb3B:`\&"٥R }=l%p'W90y{[_ic/X!uv;Ql$'ކOB5^9-=Q4WM ڱcϴ$t7].0`9ꐏӨ/r* ri3m!J\A U<۵C8#MU6hd ֆO6$؟LrxKpڇB1JV 4tEUrtH]L6߅?YL&W^*up۵;|C^(A+ HKl,3>睆ZGCE1&"i+Zc w5/)+JrZMTzz6%VeS\ȉ zC3r6_+_ؽM0;q́XܕI {mKGqC_=0Sj*XXQaGKƭ?H )p|Sl 5$ԂT@~ͥcDvZD[z bb=˕Оf(y{uルն: |Bh` [ f^9 ե%-mJ[$dr 0\zs ؗ̊ՏzY 8XRbPʦ܍alD񩙗jpt`{f-!/)pc2ږXXԳSж~J!ͤbpދh(8 g /O1êҵ} ~{8Ey{L sZ~J;=8'#,n!St|5YM~aeluΔiNdĬe>2'+·o} ޯ"!a\ˁGq e$LwPgaupNqOXrҷ$?i%?CΒy*FB >$X$;{/RU{DŽ=ӆO:ܰrKғ{Y@*٢ZuXy z~Pl_e,Js< g!Dj OV44 S0%{GVO~tzLL`TW^h`.5).ƭ ל+~VGF=_'!,xSW@q^0#<9)+MFo.c_G RH>i,E2crxBRyh5SL0rO#DM`26G]2q ].$O:tNcE^NsѧZGisc.D\nH1.}1 ?$Wx~I$TE_;$>"1Z!ҝa ǹ+ /; ] xU}K<;;$A7߲2eq_At6;mlzϑ&+O鏩J,<#2"v e ɉfQ/Lp~O`n<l:!z#(/X|hMK'S5oPL_Mr[,㗯 )'9Ӯr/i, mwuw6;;xb(*B U_' ʝ+CPqON*=o]It4 ֜*GY∈ѻ|NtÏ,i)Tq2!:R8# _2c4ZLrSg4Pciu*WDG&IZ;=~ Jfz,wC|0H9)ڧiX {ҋoe$tftW؟1$.}o[OTyOĂb ew7B<(i %+Kn젣8ߧwS> )m_o LH ԙ'+׋%|Wȉm&ʭ)3-f'`vQ~ pk' WƚjM0+^0f3y S(RdGIO‹wp" !.ٟގv'Nu:cנ2IR8`L*Gqkxu͋Sqx# xV 4{p>?w@n:TAm LomiC1>?,10H3/Dxk-9V,5ͥ;PRD뎀hwYjdLgI;Q'(^u+6VGވ ֢'*O%5en)ҡqre68w;s6[&St85/E gPUJe  7g_XR|cӈF"f nkYldܟ6p9 U.I'LqRp> N37@G, T !1F*;.ߔNHք#`9  g@4_T`e靟WˆvLtDW[ZUa~N k*sJpN`cږ@>x[vսq*pj/'hDLwr?W ̢D 7dI/IZ]w[?W~IqRW}Po`^\cV'%[Rƿ@A?S\r]3P=j(4FV/ݸxk=kS(m4VmSOAs )CN䙄[h:$S˺MY\NQĆ߯w ;hD]ED6sCBڶI =jww۲@)1 {`,%:=zuw#lJx Qgz(1+No! {DJ$o̍)p]xi f})ņLLjMaUھ硷!8?B`6ZdŒ:~ =_ۧ2O\;]5!윋(W͊ |jR`[yu9S4ʮVo'^$%Z `Fwޒ]:]KbȭZ,W`ZhR%IG=]^z?iIϙ}sՌZCykHNu-3dy,ި7%c&ɓj]9/ͣb>\QyZPJr𥉉pGwt_q0uէO ݞ΁x}Kyl#SaMiQbL4ibv\ɑ ]F s-!eM'݋whah-E|W^'01X+0Ͽ47ZpYo$]Pq7 aYr+?`U=!ST&Mtr@B![$<(|r2<.w3riN6R 5ycZ#|:| *o8M7кyU?.-7#&u6p>ک_:#ø1oQS WS _g1ʨ'"<|8U Q}oOq2|*#`igZq>oPFЋQ[O6GRE\[;^wQh@^t, <?XZ(±5cR4Wil*bNOs8hXKv&OdSy6 Uf,`>NV8#'BߝD**#Y3)wǢ?b c~/ kբOGGm}N;_g?k?CV[ޥRZB[XR9)ج`Ncl; QtV\n`QAxwWC1!:}I]n4++R}q|.6P3rh7i=43v'`3#bX\