e\Р,Transitivity'Russell&Lambda@B,Transitivity 1depth_prod_prod_l@"n0)Datatypes$Init#Coq@@#nat@"n1"n2"n3%Logic@@(eq_ind_r#Max%Arith@@#max+@BAD!n5%Peano54@@"lt @$plusBC ,Ȑ!l1@(le_max_l+% @"le@1<Ȑ"l0?@(le_max_r9 ;EK Ȑ"l1? ATCȐ"l2F&^)Decidablel}@@+dec_not_notSK&cOrGu1lH+Compare_decz@@&dec_lt!H@#not"&BinInt&ZArith@@!Z@ @%Zsucc@(Z_of_natH!x@@#Zle>J@%False@#gIA9/,)>@'2Ҡ]ɐK"1.VNN@%ZplusDkF"CX@Y@#ZgeݩO䐩РA5쐐LEmc`ߠ@P2av@+&@U}/p@m@* {a/<%@&ex_ind!y.@#and@4@"eq@e@AW@%Zmult+@B&BinPos&NArith_@@(positive@C%Zvar0'Omega16.[@'and_indЩ-ɩ4+(:%/&Omega0 52C/9OݷLީJFӐOdE%Zvar1跐'Omega15 )ЩSP['̷&Omega1 !jgeaSTcݷ%Zvar2'Omega14GЩq U{G췐&Omega2 AVY%Zvar3*'Omega13kЩ1" WZp&Omega3jABF7\#%Zvar4L'Omega12 ЩSD]0&Omega5 \]ɠŰaRa>%Zvar5g'Omega11 ЩҰn_bK&Omega8 xdy@bک.~@$Zoppy_Xt@r>MCm+OmegaLemmas%omega@@@4fast_Zopp_plus_distr@T#~@7fast_Zopp_eq_mult_neg_1"@ _!a03 @1fast_Zred_factor0N@n=p@C'Omega10*~'f$+MߩnאQٶ@ :]`ѐd|Է@ϠGRnmȩJ߷@ڠR uЩC!@Z}W>کm@1fast_Zred_factor6^E@if$c鷐&Omega7rƠoAlʠx% @Ӡՠe ޠ f$ĠWg>*?@([!I^5J@3 Ӑ$1YNF[@D␩e@@8fast_Zplus_assoc_reverseWl@Uͩ!"K%ɷav@_ש+,Uװi~@gߩ3459c2߷w@uABCo>@MNO y @2fast_Zplus_permuteЩVlZS@/@%P~@n+pAŶ@&z7| ~MӶ@4E52_&Omega4ˠCA?DAHE/Y@A@*comparison@@C@#ZgtWa+auxiliary_1 v@,fast_OMEGA10$Lbj k^iǠ,UɠrYyooo@1fast_Zred_factor5Ҡ{x}zz@,fast_OMEGA11@i .@㠩4u.$ww%:@# _ +'Omega177C`@,fast_OMEGA13Z  @,fast_OMEGA14%sqѰvrr@)False_indLȐ"H0 "H1@fީ24ݠ+8)b@&OMEGA2AE`֩JکN  @UY]-@&OMEGA7 fj'l[npt$/. FXOcRfaҩŐ O@7 _Րc)auxiliary@@(Zge_left␩(@ޠV |(֩|@(Zle_left#3$Znat@@&inj_le+;v@tȠ  %@'intro_Z$ȠP: Щ<@(inj_plus5ʐשE@%inj_Sܩ>gi@ 0֐U@&inj_geˠ*:t@¬_ltUCC@QNE됩j*,`@)@\IPuY[  @&max_SS42'3%4#5 @@A@1depth_prod_prod_r@"n0LKJ@@I@"n1 "n2 "n3H[Z@@GFEb@@D"@B-.!n*Aut@@@@?>Q""DZȐ!l'@<#@;@(0Ȑ"l03@:*/l;0Ȑ"l1-a/D1eȐ"l2~ M!5@@4E?Y-SC_._a[P]93@@2!Hz@10/@@.@@- @,Z!x@@+Ʃ c@)@w=3,%#+!1@)E(&G@@@"9;S9I@J@!C͠QϠ ɐC;\US۠M.Ue@(<_UMn.e>cs@*o'Y/;t@&ex_ind!@ @ @@H={@AS@H@Bz@@@C%Zvar6'Omega34(-@'and_indЩ(IL%u"R )'Omega18 /,[*3FŷCƩB?ʩ {>%Zvar7Ϸ'Omega33 &ЩK֩ːQr&'Omega19  `߷]\Yِ_UR\˷%Zvar8'Omega32DЩi鐩oVSG۷'Omega20 A~}zzW}X%Zvar9'Omega31iЩYm'Omega21 g&'+ ]&Zvar101'Omega30 Щ8-^'Omega24 ABF;_*&Zvar11L'Omega29 ЩȰSH`7'Omega27 d]#N^@Lѩ!c@`^dMnT`p@^37(ZT@@r@pE)6h@|@zO3QB0v@_@ ]N_ @C 'Omega26mwqG7@,|m[cDƶ@9h|Fж@C@ض@ƠKHZ=g@OC@ՠZWUϷ'Omega23ޠc`^i{@p fˠge%@ ᠩ㠐[(?)@젩 %͐$8)9@'ېK%@_9I@7  /g)CS@AƩ*9ѰqK[@IΩ2 $G?ϷYi@Wܩ,@.۠y!SKeu@c8L: ]@ Щ@D_y@w;m@}$sN@X*ZM @d6f hYj @"rDtv#!zk'Omega221A?2064*שF@Ad@ @@C@ DM+auxiliary_1 쩚j@ $DNgVT(L\PcZZkz@dbfdu@^hy$j`sjj@wǠtvjtթϠ|&z~|8~t~'Omega35ܠ1(@*㠩q@75_\\@)False_indȐ"H0l "H1ِ@0R( &.@Ġ\ˠ@Pթ%Ҡ)֠uԩؠ/R !@ 7pة; =9ZAzEA " !  9%zV ө~(@ Y[ :a SԠ @@ﰩmFTb-@)y X m@3 @@ 9 F@ B޶@F uӐ yՐ[V !@  e_  k B 5@Ʃo=@e N  P @  L@簩r ũ'@ ũ @   А_ :& s@  ېj   ˩@  ϐʶ˶̶ͩ  ة  @@A@4depth_prod_conv_prod@"n0 0$Init#Coq@@ /@"n1 "n2"n3 .@@ - , +@@ *$@B ) (!n, ',+@@ &@ % $ %$ + ?Ȑ!l)@ $% @ #@*2Ȑ"l05@ "1 A3 !?Ȑ"l1 _ * aH c .Ȑ"l2 3 " "Q 7 $  l@@ IC CW 2YIe 8 _i0c   @@ !H@ !  @@ @@  @  _!x@@    T @ @{I 5.'% )#3@! ѩ+N *(IBB@ ; z=!;K@L@  Eɐՠ O -ϐ٠3Ӑ ?`YW KUe@& Klecՠ [ k>gw@,8N ]~<uwu@: %kX@DRB 3yMYW=]!(@&ex_ind 10@ 0@5@ /@ M@Au@ . X@B - ,[@@ +@C&Zvar12ͷ'Omega52(W@'and_indЩ(ש̐  ^Ơ'$ d"+'Omega36 Р1. m,5HEDA * @ӷ&Zvar13'Omega51 (ЩM ) %߷'Omega37 a^]Z ST ]&Zvar14'Omega50EЩjU E'Omega38 ?$~%}z)VY &Zvar156'Omega49iЩ=2WZ n('Omega39hMNRG\ 6&Zvar16X'Omega48 Щ_T] C'Omega41 himba Q&Zvar17s'Omega47 Щ˰zob ^'Omega44   6u@sԩF %@ (qX@U 'Y 8~ & %5@@ $@g 9 F@ #@q Cs R-@ " o@  ^ @C 'Omega46 GaܐQ޶@̠- ~Yڐdɩoͷ@٠:Rg ԩHط@E  ܩB!@M J>橚h@ !PD @[͠X#V 'Omega43d֠a@_ڠj(!۷"@q㠩 ĩ" e)) f20Zg%F7G@5 [Ő!8YiJZ@H ِ#% Jk .\l@Z-琩13jX@ -9 @n~@lͩ?$d  Hȷv@tթG,K *pO V֐@Bط@\A ;@dIf E j  s@rWt U @ ~c  a<5+@ EЩ  Cٶ@Ǡ( w ߶@͠.,ék@Ӡ423 &' ϩw3@ߠ@>  ۩A@LJ  ĠũAG@&PminuszMV@aӠ_ՠ-נb`۠ 'Omega40pVT栩qo꠩us(:@A@ [@@C<@ ZK+auxiliary_1 O@,fast_OMEGA12 > ^2@ o$p Qa@O"%K@ k~,#$# %6"68'Omega53nϩAC]@ NIJՠBܩNw@ KHebb"@)False_indȐ"H0r *"H1.EF@lnq(ru(T@ L|0 rxQ@q:@ D $"(_001 /'11sr%Q䐩pjcm 퐩y ' l@M "}ɠ  H,@@ Gנ6*8 W@ n *@ FG4 EG@@ DM:`*2@) ;%=ɠÐҩŐ#멚$@ D נѐ?ӐߠrU 'M䩚:@ :2>@ Gc ,]kݠQS@1 `U@ Enj5@ D9#p'@}{s.h\^2@x~9s"@=$@ CDAFD;E9F7GM)5=</@@A@5depth_prod_conv_prod2@"n0`_@@@"n1 "n2 "n3po@@w@@"@B!n*@@@b$Ȑ!l)@% @@*2Ȑ"l05@1=!Ȑ"l1FȐ"l2| ~O{@@zGAsUpWGc{]gK y@@x!H|@wvu@@t@@s @r!x@@q  p@o@wթn70)'%5@#--Zm,*KDD@l=;K@L@iEEŐѠːՠ1ϐj?`YWUe@$_KlecѠũ<gw@,6usua>y{y@>oZ@HTF}Q[oA_!(@&ex_ind0@@5@@8@Aw@@B@@@C&Zvar18ѷ'Omega70(W@'and_indЩ(۩Аʠ'$"+ķ'Omega54 Ԡ1.,5HEDA鐐QAط&Zvar19'Omega69 )ЩNR'巐'Omega55 !c ` _\ST _&Zvar20'Omega68GЩlUG'Omega56 A*+|/$VY.&Zvar21<'Omega67kЩC8WZ,p.'Omega57jSTXM[P<&Zvar22^'Omega66 ЩeZ\GI'Omega60 noàsh^kW&Zvar23y'Omega65 ЩͰu_bd'Omega63  {@y֩J@ez@[_@@@m@@wy/@ѷƶ@@C'Omega62Ġ!"e@Ӡ0ߩZVͩo@ݠ:dשC@Dߩ= @LI9驚c@~O?@ZΠWU 'Omega59cנ`)^۠i+$ط%@p䠩!%#g,,f53d(I:J@8   :[XL\@J Ր#%`Lm^n@\-㐩13fZ@z9p@n˩?$f Ʒx@vөG,K~rOԐ@Bַ@\A@dIfjB @rWt ۷@ ~c 85%@Щ  C۶@ɠ& @Ϡ,,ũk@ՠ221!ѩw1@>> ݩ;@JJ Ġ;E@\yJOݷ@^Ҡ^Ԡ,֠_]ڠ'Omega58mUS堩nl頩rp';@A@@@C=@L+auxiliary_1 P@$|  ,}@&@ub$Xh@V'\fR/"-'Omega71iƩ:+@rAʠ/Eo@5]ZZ@)False_indzȐ"H0j }"H1@ce(i& @quVy{\O@  Ȑ/@ !^(%,+h)a))hbce鐩q`}dX@Fl tĠ! @@Ҡ  ѩ-@ iݠ  @7 @@=0(a@( :+$9<ĠbE%@]J LԠΐ:АeTܠ`PXZᩚ<@1@@d -lڠ?A@2 avW@,6@:~q'@~|tj[]Ap2E@yuL!@A?8@6A4B!&2,@@A@2depth_sum_conv_sum@"n0@@@"n1 "n2 "n3@@@@㠩"@B᷐!n*@@ߠ @ީ$Ȑ!l)@ݠ% @@*2Ȑ"l05@۠13ک?Ȑ"l1HȐ"l2٩"۩QݩؠCT@@װIUCYGeة_i0c٩ؠQn@@נ!H@֐!ՠԠ@@@@Ґ @ѐ!x@@Рk  ϛ@@{470)'%5@#-P,*KD=;5;K@L@ȠEɐՠϐ٠1Ӑ?``@砩YQ[Yi@eOpigנ(@k{@0w Pc ${}{@@"oZ@H8F}QAC,@&ex_ind4@@9@@ @A[@@BG@@@C&Zvar24ѷ'Omega88([@'and_indЩ(۩Аkʠ'$!"+ķ'Omega72 Ԡ1.*,5HEDAJ@׷&Zvar25'Omega87 (ЩM@%㷐'Omega73 a^ ]Z STg]&Zvar26'Omega86EЩjU`E'Omega74 ?(~)}z-"VY&Zvar27:'Omega85iЩA6 WZn,'Omega75hQRVK\:&Zvar28\'Omega84 ЩcX]G'Omega77 lmqfaU&Zvar29w'Omega83 Щ˰~sbb'Omega80  y@wԩ,⩚@吩uX@;?!@@@M@@WY-@߰,¶@ eg @C 'Omega82uDyGeQ@Р-;Yސdͩsͷ@ݠ:RgKةHط@E SB!@M[J>꩚h@ްPD@[X#Vk'Omega79da@_j,%۷&@qɠˠ͠$eqԠ֠- fݠ4Zg)J;K@9[#6@&JZ@H-@amRb@P $ݐ 4Rsdt@b됩n`*!·t@rϩ'"j4ʷ|@zש/*3v7ؐ@Bڷ@D?@LGN"R2@ZU\>ö@fah j >5-@Щrt xXC߶@͠*6é @Ӡ0,ɩ@٠625)Hթ5@B> ߩA@LH^ũAG@ wLU@`\*a_v'Omega76oǠSɠQˠpnϠtr'=@A@@@C?@N+auxiliary_1 R@$y^)|@+@t[k@YaU+$,gw@e© _Ġd);%ʠ'Omega89y֩.0A@7ܠЩ;@#ŷoll/@)False_indȐ"H0| "H1  @[]*a($@i m`r v @Ƞ%}""&&ȩ<H@ 2&5X,<:@4G>>=<T{c~t"$ y@Z  / u@@#̠E'Р+'#)2M)@&۠ 2 @\<@@bB|BΠȐ@A ʐS=ΩUᠩېݐ7#@©SʩiΩЩ9@ H=@{ F y.JL@I x쐩T@AQO@S)Y@itv4@ tĩ2<>@^\U]S^Q_5A/" E3QK@@A@3depth_sum_conv_sum2@"n0e54@@b@"n1 "n2 "n3aED@@`_^L@@]"@BF[!n*Z_^@@Y@XWX$_rwȐ!l+@Y'"@X@,4Ȑ"l07@W3T?#Ȑ"l1~]HaȐ"l2S UQWR@@QICvWeYIe~R_i cSRˠ@@Q!H@P!ON@@M@@L @Ky!x@@J /G@F@wE5.'%\#3@!+D*(IBB@C;=!;K@L@BEɐՠr`ϐ٠AӐCA`YW~Ue@&8Mlecՠ>gw@,8NJ_~<uwu@:XmX@DRBf{MYW=]!(@&ex_indd0@c@5@b@@Au@a@B`_@@^@C&Zvar30ͷ(Omega106(W@'and_indЩ(ש̐Ơ'$"+·'Omega90 Р1.,5HEDA]@շ&Zvar31(Omega105 (ЩM\%᷐'Omega91 a^]Z RT]&Zvar32(Omega104EЩjSUF'Omega92 @%&~{*WY&Zvar337(Omega103jЩ>3XZo+'Omega93iNOSH\$9&Zvar34Y(Omega102 Щ`U]F'Omega95 ij nca?T&Zvar35t(Omega101 Щ̰{pb6a'Omega98  jv@tթGY@\cw@X]\n\[k@@Z@jo|@Y@tyv/@X@@C (Omega100 !dߐQ@Ϡ0[W˩o@٠:eթD@Dݩ>@LЩI:穚d@SO@ @Z̠WU'Omega97cՠ`<^٠i' ٷ!@p⠩!e((df20g'FV8H@6  [Ő#;ZMK[@I 4ِ$&8Mlb]m@[.琩24[[@ao:to@mΩ@$g |ɷw@u֩H,Ls^sPא@Bٷ@]Ao@eIgy k@sWu @ c <5)@yЩ   Cڶ@Ƞ) @Π/,Ʃk@Ԡ524Z%ҩw4@A> ީ?@MJàթŠ٩?H@4yMS˷@aӠ^ՠ,נb`۠'Omega94pUS栩qo꠩us':@A@@@C<@K+auxiliary_1 O@o{ ^)GW@$PN^@L55J@^)#+#"$.fv@dũ79Ġ_ǠPe=B!(Omega107vשIԠIũMC@fTߠXũ@#ɷqnn.@)False_indȐ"H0~ i"H1m@xz*~ *&@`    E@ɠ*'W'ǩF@ *5T(;9?00==dɩ|vʩxtexŶ@Xʠ̠   Ԡ鐩j@@@y @4@@:m24Fo@3 E1éGӠ͐&!@*,ߠِ"2 K6`8꩚5@s89@i  2qWY@7 hTP@~r;@}?\x'@{gcbdw2 @rn*(@zexHF?G=H;I--9s3@@A@/depth_conv_prod@"n0ǠƠ@@@"n1 "n2 "n3à֠@@@@"@B!n*@@ @&Ȑ!l+@'"@@,4Ȑ"l07@3ة5AȐ"l1JȐ"l2"S ! 2@@KWEɩ[]Kik0e / L@@!H@! ^@@@@ @!x@@ I @@{ 70)'·%5@# j-P,*KD=; 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