w`j]Р,Substitution%CCSum&Lambda@B,Substitution ,wf_sort_lift@!n)Datatypes$Init#Coq@@#nat@ @'nat_ind!e%Types%CCSum&Lambda@@#env!t%Terms @@$term@@@"wf@B@@)item_liftCD%Logic:9@@"ex@#@$sort@!s!AE1@AAEC$List%Lists#Coq@@$list@A@B@D!lg@@@PSQ@I@BF?w@A@$\Z!HT@Ad"H0VZ P@'ex2_indn!uqY@"eq@w`w@$lift@B,M&MyList@@$item@X-7tkgle2zb!x"H1&"H2=GȐ"H3&Lambda@@@BADBDec̷@*z@>jR@A_ZLwu Lxy@Be"H4Vtt@&eq_indҐF"e0$List%Lists#Coq@@$list@A@DA@%False@@@@$True@@A @)False_ind53FƐǷ"n0 !yf3AI "H50wIϩWFECA٠@D962,6)CR϶'KHG  АP4IcېN &@Ͱ@z) !@ApRP  "t0TLYCJIM^GH `ac/e7MD@E>S;kթo`qHX@(eq_ind_rvb'yaXTYRJMrRBݠBDA?@ܶ@Dṵf @ܩvming԰[Mdid"l0U,Xmy۩ߩ@'f_equalbbcAj@Diggzlj}&@l3pqAx@Dwuzx R 2ȶ@X6ӐQ]Zf FŠkh N&Lambda@@@@@DAD@@'׷ةѰ>SRJmH On@:AΠ@D.ݠ%@@-#U /"^L!N/!T%9m.1?뷐"e1BA@Dgz;$ |=T? ͰAQDRA@DwKyMU?ݰP"RVVT@/.&K+3D;7<5cZY8Щ#A%(&֩Dznz@&sym_eq`UsթWuv~di?<f@Jw|.!0.ʷ.ȷ[ u5.A@D+*F>7ݷ A@D&%#Ωsݩ@y|sUptܠӷԩͰ̷_3ѷf)n@.:/)Datatypes$Init#Coq@@#nat@@@A@D@>97@@2.8+$$0T(V   @°v7@q Ơm q4GeUUSIG?8<5ϐOP߰R;۠ؐڐ/$Y['-C\ `QXb렩wPigOFBG@8]=BɠBD-+@ȶ@Ķ@brĩe\X]VH  YYTECƩFe;kMķPN%C 4xtyro.L%ߩQ@@Dv@4xũJ:8:vt"n1߷P|"H6ULp ^K nʐc`bpg!B   @Ѡ@Dŷi~©& 0s>ö;|۷ܩհBJڷE 9pPݩ;@4AD42@3@6( "<5le?ӷ_@A@DSJ%Fx9REhI=4|ϰOD ;UVA @D{OFް #HHbU#c A@D%\"-M^0$`Wca@<dZ \*]#A%l(&cD< fGsD@&typ_wfyDP3RzF|sHIsөuQȶ@z^R?R r@&ex_indmingکf}tpun#  m"x0|Ȑ"H7@AD@@8^ߩ;8=:U{I])Ȑ"H8dA@DԠuXUZWq׷8i,=:A@D76&vJGA@D6 53!#+@\ܷݩְCa[ݷlҩDķ˶ru^`֩_ɩ  a5c5}>>ǠĩɠƐ]@հU0'#(!֠өؠՐS$  dY2}!'D@#ex2@Abceҩ`3hj60"lVY۩)LiftSubst|@@*simpl_liftbPRGlGJtEg^Z_XU   [O@Fdd@.a}tpuns# &uokX[zZwqq@@A@*sub_in_env(4@@@@@@@ڠ$Init#Coq@@@!T@Ơ@@@!t@ @@@!@&A%sub_O%sub_S!e$List%Lists#Coq@@$list@*䜠)Datatypes$Init#Coq@@#nat@A@B>Ѷ86CA!eX!f\!nY!uP@H JeB !]%a@$@e@)subst_rec!C@@TAE@@@@@@@BAABE@AA@BB~@|v@t@@@.sub_in_env_ind@NY@@M@!P@{t@@x@@om@@l@A`@@@*j!@A@B4lNN"#v-t;@BƠ@@@kj|}@lho@@B Qͩ"SS@v%wC@!F)UBNCO!s*4`MYNZ 3@@BCD@lYeZf@?6a`dpgqNzM$LC©[@@@}|{జvtuu@u@۰ްo<éqj   @ t+g(),K'(*()=#> 3#' >$'Q''+g() &'+7Sg +7S' +7S'+  7S'&'jA 蠠<@@@@+nth_sub_sup@!tCN@@B@!T !np@@m@!efd@@c!f !HBr@@@@WX_:@.sub_in_env_ind$E'%!v*@%Peanoà@@"le@nQ!uE@&MyList@@$item@P_eF@BWl"e0ǠƠ@@@c0X"H00^@A{*m"H1*r@Bw'Ȑ"H24&Lambda@@4@BBD!l,}{@B@@@"eq@;©#E@ ǩJVaF)I13"H3C\$@OZZ"e1]$A@D7aaʠ:dͩL+5hݩlƷm4Aʠ@DGqڠͷJt\A^GEݩH@Lٶ@OM5Rvm<YeB RwFc{A+@!@DA q@S@@u@]@@A({@)False_ind"}@,*,L!"#"n0 \2JQvƩ"VNR"H4אUِ: ~ַ|A4@DzCOyð7cŰ9MUm_é=AA@DwPvаDY^ҰFQtI^uK_NL@°^X-ŰF)]ݩWsYbmϰw g=c& AٰZ̩__`@@Dfdd4hfI h}jmk2z44|67-BsuDu)wBD@7V@ FR @AG L"f0fEoٷ?z@xm@kcmA@@D@̶{@yЩOs}Sǩ@߰ڠU9f"u0ҷ+cHp$Init#Coq@@@A@BAD۷@@` ! }*S~ !өk^Ȑ"H5'ԷI)Datatypes$Init#Coq@@#nat@@3@D  @    =L)$1 $!m 1!̐ RLҷn%@N@D- 5&# 6& ܐ Z0J2kU> DY e:Ȱ<uT[֩ O n@8۩F sݩ V>᷐"n1A֩ aSV e6BBDTR@׶@հ dm@ڰ[ ϩ#kmVyG Pҩw n*Щ&&'A @D  # - 12A @D ©    D@ @ T4MY Ω/ܰY`zO Qe(Rg%IbN@@D ʠ   /f 1z کp ѐ Ґ ӷAk"n2ɷҩ@s="H6E'% GA ݠ@D# "l H20 RA @D  Zw% ` ' @f &iͩ 6] x 1ɷ;=s`^H@>@D %! &  (ǩEːW! *W 1$^&_^ِ .@B3 < G6H I"Le%Arith@@&le_S_n  Tz I O 46 ' Q Q6 S S 8F  Z U V W&K ZٰMX d qĶ@ưU p q@˰L\ m l ĠV     qfd^e\ZSQKR@G6^@4  |+n@)q  !+s   @@A@*nth_sub_eq@!t à @@ @!T !n @@ @!e   @@ 㷐!f !HB  ! @@B@     @.sub_in_env_ind$ ! ŷ'%m @@l@;   跐"e0H@@@G@AL = ۷7"f0:"n0GU"H06     "H1*_   -@Bd  U       hf`g^\USMT@I8m   @@A@+nth_sub_inf@!t = H@@ <@!T !n j+*@@ g@!e ` _ ^@@ ]!f !HB  m l@@@ : Q R Y 4@.sub_in_env_ind$  ?'%!v*@VU@@"gt f I!uC@/@ p Q W oJ@\  | b ] t"e0p@@@Z'O"H0'U@A l#d"H1# r@Bn w  Ȑ"H2@0@AADnl@C@7@t@B  @ @@@ -IE  1   $ 7Ȑ"H3@  "e1@Ơ@DA #@ @@'@ @@AR  -@)False_indso c [  & ķOE';C cV+I +@@D) ֠&#n &bXU    y   ka^    M    @a o  V  j@Aݷ"f0ැ"n0   + # $@ɶ@   + < 6   .@ .@D@נ } @а  ,  ?԰аQ K (!װ 8 ,  I ,Ƿ"u0* 6İ/  8ϩ@'ex2_ind457 ^7@  F>  @@ @F OݰH ] ^ Z zyN ^ d e Y R"H4 "H5Z \ e @ (`)' ;cT q l"   Ȑ"H6 B BD!l&nl@;{   @-  ( @w #?;XQO   #D   t0 A$D,  .  "H7@ 7QQR A @D2VV  η5Y A  . ک(]  ab A @DBf  ͷEi Q  S  :  é& ö@@u 1S.[mO fѩRmt;Q =eAH_@@Ae Z 9@@1commut_lift_subst &@A8 iy@  m<    8   "n1 H  z 6 =v B :X"H8|˷~ A @Dz ) 5y# I % 3_ Sa) A '@Dw 6 vŰ0 ? Dǰ2 Y4 C6c97@ CV'2!޶ЩA D W _  |ʐWM ̰ gUBZ ]  FװQTCU @ @D m n*j m ') s sl u2 u שnn  w x y3s |  /+@> 6}  @1 A ,@A=7RP   5$E?  9 1 D   (` tY ةpa ˩m(* hk Q-g]\ Zr 0V}8 ߷uqk 20O \B VBDMq@K@Av  @D L YUm Wn٩  s 䠷hoZKw f I_ȩMIK QA @DG FD2jԩXTV \A @DB A? /("w  1c @} nj İ\֠ G:Ͱ S+Vζܰذ` ̷! \@ R@D9@&,;= 6 ? K88 M FABC귐"n224?31J/:'ک AI@DX d/ ~OT AR@Da +[ װ]l_b`@ݰ lOZI(#`5  t* ,( ?*1+h&juxxy @ @D}} Gn q"S OKaa Ω5V 4e ҩvg$`u ީwpsLL"x0azh|9udF~Hӷ˩֩dϩŐ]vԩZ۩Wݩd+**Vc)r$.(à~&% @ Ǡ)*ˠ13.@B 2ѩAIԠӠ-@@ҰJDL M7rp!*U U4# , % R..'00))c234谩d. ge.@@.gg%Q<ٰD  I z)P[j]@y[zUrszUPNHOFD=;5<@1 H@f`X@dt@@A@,typ_sub_weak@!g@@!d@@$term@!t !H@A!e!u!U"H0(@'typ_indD-% &!f2!n % $@@@@B@@ C@6@1@޶@l@@%trunc@L ?ҩN@ հ  4﷐"e0`"H1ڷ6f42"H2-"H3("H4&k㩜_AAzL|JH8kAB(&$!vU"t0&@&$,ca_(X 1(Q"H5O0/Q&Specif  @@)sumor_indਜ਼ @'sumbool@%Peano  @@"ltJ9%Logic  @@"eq@UDFW!s+@%sumor@& &Specif$Init#Coq@@@BAA@D84_Y,a[8]c]!C @'sumbool@BAA@D.LH!@#o!l@BU@$pred@$liftT*;R&Hlt_eqp_@'ex2_indf@BP @K@$VCkQ(7Q52`T/S)@+sumbool_ind^\+aY:@=o=&@#D=7xci"kN頷][X̷B UW VT)Datatypes$Init#Coq@@#nat@@ @D?=!aǠN6o@rr[@Xy"l1*#Hlt \@AR"H6߰©y "H7x<Ȑ"H8A)ADvt@@ @$@}L"ȩ(aY[M61Ȑ"H9 @"e13@\@DAF@@@@@@ALQ #@)False_ind˰/XUh[7F?(2ʐ^M,u*[@@D(k%"gl%WPڐL[frxaZyVZ!@X`_@A"n0qm%Ω ©w@h++ͷ2%-?\é:: ط5=08 3AC @ @AJ5KMM61Qѷ>T5VO6IX#@ (ਗ਼ T@@; #@@+simpl_subst ?@B#Heq>w=7R{{~q +2+XYx292s&d +=O@(fun_itemU5Bd@CFϩs!tlKH %-,=  @Ln6ϩ8+̠lk@@*thinning_n A?_\@Q4h^V8TbX::@A?\d?J?`B@E(4LScFFRQ+Compare_dec @@,lt_eq_lt_decm\~ܷ!Tַ"s1@$sort@Ѱ|@Ac@i@@ruv}~!M"U0"s2%򰩜~} @@{@B +@}E@ֶ@ ˰( R+@!%(!E˶@@,թ˩dͷ < 2ڷ;_Ȑ#H102@Bǩicũ HKϩ?AD$0թ4s'Q)ЩY\ <-)@BVAߩ@BfFc 9 rj!VmaIyGE@@5@g("u0{"Ur~r $@F  a_]@V /@O@K,+D/H#3J#utrp i *Bb z@%substZE\6@Df\:h^0<6AEAo'ZE\]d?s+A^I`ahCw/$Sdc@+distr_subst6Xizطзzt[ԷqȰU[q@`[[@@}|԰gnr}Zݰ aö@̶@@ȩxxcxWcӶ@@Ŷ@ iX7ַ#H11  AF,а'԰+ߩְ-Щ'* 3)'ȩ#0\:Ωx5>2Է2:-{wI;ݷLpDnlhaOHMp=KN.n)Y'%@6@@ȩIe2b0.Hĩ Y"ad詜XAGIK>ЩnqQBSuU!w!{3/XVTDn&$xAHi 55+2@C6omk@@[@  :& @BA~@w0V+9-R@r@ҩ7&,+y#*{?mX,<CZ[b=GAIz2NéPgho~6LXЩϰ v<LXoRsZ|yVطٷoڷΰxy@G`@Z@@V۰nXj\z^{ͷȷoui𩜠AJ4C  0)ҷpǰ @IN!@JְAK+)'hݰ"ʩf&̷;3;45ީ)۷ڶC@@@1VRݩ)Reduction@@$conv@s@o*Z(&@@@@H۩ f3c1/Щ(-SW!ƩbVAL f+@/conv_conv_substk 2@A|zs{@ojh~f@sZXV@Oe(@H@D%$|=(?*@@A@,substitution@!ekji@@h@Wb@@V@!t !u !U!Hxwv@@dA%@B a`hC!d#"H0KQB@@4^xS2`[rs`)Datatypes$Init@@#nat@A@@Aq0@'uj@@@AP~][LSJTHU@D6W@2FZ@%subst@@A@@@頠栠}|    /.@@@@>%CCSum&Lambda@0Įt&{O)Inversion%CCSum&Lambda@0]gD}-T͠0kk@1;ZNp9'0 F1t"P$Conv&Lambda@0*}Q;<&Lambda@0WUlod&Lambda@03eiV^o5%Omega%omega#Coq@0mJ%,y'(PreOmega%omega#Coq@0wR51|5&NArith&NArith#Coq@0\[nTZS*NArithRing+setoid_ring#Coq@0Z4xj+OmegaLemmas%omega#Coq@0-ww'7XU>Eb0KH!8DmSD)Relations)Relations#Coq@0cҨv>s =)נ4Operators_Properties)Relations#Coq@0 . bkB}2Relation_Operators)Relations#Coq@0~ ɀL?7fy(%Arith%Arith#Coq@0)f^joqU#r[L)ArithRing+setoid_ring#Coq@0^⺯d-1$Ring+setoid_ring#Coq@042 $'])Ring_base+setoid_ring#Coq@0K W)(Ring_tac+setoid_ring#Coq@0%& Š+InitialRing+setoid_ring#Coq@03bm|ҵZXQ!)ZOdiv_def&ZArith#Coq@0 kiomO|(Zpow_def&ZArith#Coq@0e%`E Tk'ƕ+ZArith_base&ZArith#Coq@0p+;Ftx&Zhints&ZArith#Coq@0yLt Ŝ>$Wf_Z&ZArith#Coq@0Usw. &Wf_nat%Arith#Coq@0ClG]Wd/%%Zmisc&ZArith#Coq@0@YM-pȠ%Zbool&ZArith#Coq@0q W{`)auxiliary&ZArith#Coq@0ckk*a Ӡ$Zabs&ZArith#Coq@0;ƘGMb *ZArith_dec&ZArith#Coq@0Eo#'Zminmax&ZArith#Coq@0 3A?qWl%Zeven&ZArith#Coq@0Ip?n,Ring_polynom+setoid_ring#Coq@035<'BinList+setoid_ring#Coq@0!M:GD+cv*+ListTactics%Lists#Coq@0hVEq EA.+Ring_theory+setoid_ring#Coq@0Jٸ`pN!~R$Nnat&NArith#Coq@0] N3]EP?0$Znat&ZArith#Coq@0h#yeT+$Xx$Zmin&ZArith#Coq@0( k 1^} $Zmax&ZArith#Coq@0yt-?2ad&Zorder&ZArith#Coq@0jy:E0۠(Zcompare&ZArith#Coq@0x1+C2B6&BinInt&ZArith#Coq@0WmIM$Pnat&NArith#Coq@0ٯL j㾠#Max%Arith#Coq@0mAà2adUU$Div2%Arith#Coq@0d&ulg}k宖$Even%Arith#Coq@0^w2&x-n#u'Sumbool$Bool#Coq@016Iu#m&BinNat&NArith#Coq@0[lu,Bp(NBinDefs&Binary'Natural'Numbers#Coq@0 KP/JP<(E&NMinus(Abstract'Natural'Numbers#Coq@0KHH@bӦؠ+NTimesOrder(Abstract'Natural'Numbers#Coq@0|A3Խ*NPlusOrder(Abstract'Natural'Numbers#Coq@0Y~z:sf.B*&NOrder(Abstract'Natural'Numbers#Coq@0X>XP j&NTimes(Abstract'Natural'Numbers#Coq@0-Hx/pG.u$W%NPlus(Abstract'Natural'Numbers#Coq@0X*nV=N˖%NBase(Abstract'Natural'Numbers#Coq@0' CqOeI*6O,NZTimesOrder&NatInt'Numbers#Coq@0TԘ޴3к?#Ǡ+NZPlusOrder&NatInt'Numbers#Coq@0 xZx) *'NZOrder&NatInt'Numbers#Coq@0=8 ;{ث'NZTimes&NatInt'Numbers#Coq@0Sp,˘ o kP&NZPlus&NatInt'Numbers#Coq@0Yqi"9"3&NZBase&NatInt'Numbers#Coq@0 PӂΟ'NAxioms(Abstract'Natural'Numbers#Coq@0I`oQdåAJ(NZAxioms&NatInt'Numbers#Coq@0{Vmޗ, 蠠*NumPrelude'Numbers#Coq@0EqDOL,oa;8堠(QRewrite'Numbers#Coq@0`rBNJԖz0ف.Z|\z5-ޠ$Bool$Bool#Coq@0yVb҆X@#Min%Arith#Coq@0&εj/i!t&Setoid'Setoids#Coq@0q6X@ny+Setoid_Prop'Setoids#Coq@0߮m, "Lt%Arith#Coq@0]2V#Coq@0{U5R|:g*Logic_Type$Init#Coq@0W RDNJ^'Prelude$Init#Coq@0002[:8(( mͨ'Tactics$Init#Coq@0-88YZP61"Wf$Init#Coq@0"U.ю@!0KO-!hϲ/>C&Specif$Init#Coq@0|GU-lȮm07^kO(>=5nm@0֠ǿ/`U)Notations$Init#Coq@0JH.+UI(~@@(CONSTANT@@A#_32/ARGUMENTS-SCOPE@@)nat_scope@@@@@Ϡ)INDUCTIVE@@A@@@@#_33@@@@@@@#_34&@@A@@*list_scope@#_353@@B@@@@7@@@hLK@@#_36H@@r@@@@@L@@@@#_37(AUTOHINT@#coc @@К#312#313椐ܰ#313#314#314+@A @@@@@@@@@@@A@@Р@@@@@@8)(@@965@@:@@ABC89:@8@9@:@ABC@В89 :@8@9@:@ABCW@AК#315#316 #319-j#320#3179#315#320#319#318dBc^@@@@;@@A<@@=SR@@AB>QP@@?PO@@@ON@@A@QВ;<?=>@;@A<@=@>@AB?@CD@ABCD(;<=>?@A@;@A<@=@AB>@?@@@A@ABCDlji@ ihd'%#@;@A<@=@>@AB?@@@ACD@_76@A#_383@@i@@4@@@9@@@@ON@A#_39K@@@@L@@@@ba@A#_40^@ @@@_@@@d@@@@ <zy@A#_41v@#@ F@@@@@@@@@~@@@@@@#_42@=@g@@@@@@@@#_18-RESERVED-TYPE!i @@[#_19 !k #_20!m#_21!n#_22!p#_23%!s$o@@#_240!A/z#_259!B #_26?!M#_27E!N#_28K!T#_29Q!t!#_30W!u'#_31]!v-@"-'S2=7HBSM^Xgcrl}wĠΠ٠䠠 !,&71B<GRL]Wjbyo~̠۠ꠠ!0&?5JDUO`Zkevp{ȠӠޠ頠 & 1+<6GARL]Whbsm~xŠР۠栠S ("0-85A=mFFKVP`[@ޠz @0;I *]y1T