"`Մٰ,DecimalFacts'Numbers#Coq@()Notations$Init#Coq@%Logic$Init#Coq@*Logic_Type$Init#Coq@)Datatypes$Init#Coq@&Specif$Init#Coq@%Peano$Init#Coq@"Wf$Init#Coq@'Tactics$Init#Coq@%Tauto$Init#Coq@'Prelude$Init#Coq@0)Notations$Init#Coq@0&v!D]hwnv %Logic$Init#Coq@0\͉!Ig)Datatypes$Init#Coq@0.i bYN Z*Logic_Type$Init#Coq@0 1jc6&Specif$Init#Coq@0;RWMi\N'Decimal$Init#Coq@0C涳N*ua#Nat$Init#Coq@0eʤģPSR蠠%Peano$Init#Coq@0 jha|ؠ"Wf$Init#Coq@0q+W,J+'Tactics$Init#Coq@0/9m+ a%Tauto$Init#Coq@0̂"&/rk0JqTttֱK+;A7^  ,WC;z: 86b1 #CjOhDLK IGsB- *4)C{Ʃ`yE]\ ZXS> ;E:CשqFnm kidO LVKCŰG~ |zu` ]g\CְHϐ q nxmC I  ~CΩ!J * C,ư 0ߩ2Ké ;  C=''?A'EؐD,尩(O␐C  Ȑ"H1[\",,ͷ@_.C "u0bG@+sumbool_rec=_Dk$:9!sV XOv EߩG!a' Z@(eq_ind_r!2#W=c;*[%diseq$)&absurd!fr@'f_equal=fWq,GZt[H:F[y[5 i?C7`@RLqAd@Gb& ,!C^X} MpLSn28-CjʩdY|X_z>D9Cv֩pedkJPEC|qpwV\QC˰}|bh]Cװ̐ntiC ؐzuCĩC "&~,İ.ީݩ67,C :԰>ѩ ECG޷ک0'N U% V1X*Z)0dde+5,©:7C iFmG;t/>CCuRySG';JOC!^_S3GV[C-'jk_?SbgC93vwk(K'_n sCE?w4W3kzCQK@c?w%+ C]WLoK17,C~ɷTͩѩ,o٩ ed_],STTTTTTTTTMSHC °|ts7zZW`UCϰ%NĐ fJlaC砩ްAӐ ܷ V6M|,{yyzyyyyyyyewFusCo $SZҩ+;JVC,ư 0_Uީ7GVQC8Ұ<kP CSbLCDް!HwKO_nGCP갩-TF"[kzB*C\9`A.gw=6ChEl<:s8BC)t^^v<-x^U|7LKN,]54S3 S],1>^C 0*m'bB%k C=7z%o,O+ w CIC1{8[7(#CUSNLJH!CVhAyĩBfP<^c:W8ҷP3,20001000000 .R,*C&wשq_feGVKQFC}krqSbW]RC̰w~}_nci^Cذ͐kzoujC ِw{vCũC  !# 'L,Ű/Tߩީ78, C ;հ?ҩ FkCHⰩ%L%S "CT1X1&_(.C`=d=2k%4:C l ULs-A zJ0{V}NNUPZ,^\Cݷ.(kk`@SbhC:4wwl)L(_nt CF@x5X4kz CRLAd@w&,!C^XMpL28-CʷUΩҩ,pکfe`^,TUUUUUUUUUNTIC ð}ut{[XaVCа%OŐ gKmbCܰ1Jѐ (sFynC =Eݐ%4AzCI@ɩ"1@<C# *93ĩְ12 4HZԠ6?̩Ѱ ũ@@A,WjCE߰"IwLP_nHCQ방.UG#\kzC+C]:aB/hw>7C iFm=;t9CC*u__w=.y_V}8MLO,^65T4 T ^,2?_C 1+n(c C&l C>8{%p-P, x CJD1|9\8($CVP=EhD%4*0%Cb©\IQtP1@6<1CnΩhU]\=LBH=CzکxsqomàE٩h{fİfua_Ð|]uX,WUUUUUUVUUUSvQOCKٰΐkzpvkC ڐw|wCƩC   "$ (,ư 0"ߩ89 , C <ְ@өG9CI㰩&M%T #CUﰩ2Y1'`(/Ca>e=3l%4;C mJqI?x1@GCyV}UK+=LSC%baW7IX_C1/*(&$zqQf2DoU{rB,s:?z3,u,           CSMBeAw'-"C_YNqM39.C˷Vϩө,q۩gfa_,UVVVVVVVVVOUJC İ~vu|\YbWCѰ%PƐ hLncCݰ1KҐ (tGzoC =Fސ%4B{CIAʩ#1@=C$(U<֩/=L8C0ʰ 4a7;IX3 C<ְ@m2GUd.CH߷۩1(O]%V& W2Y:~[1*1eef,6,éI8C jGn><u:DC+v``x>/z`W~N9NMP,_V76U5 U _,3@`C 2,o)d!D m'm C?9|%q.Q- yCKE1}:]9(%CWQ=FiE%4+1&Ccé]IRuQ1@7=2CoϩiU^]=LCI>C{۩uajiIXOUJCİmݩvuUd[aVCаyةŐapgmbC蠩߰i˩Ԑ ݷ},|zzzzzzzzz{xvtCp@#'Decimal$Init#Coq@@$uint):U@#&Specif$Init#Coq@@'sumbool7̂K@%Logic$Init#Coq@@"eq @/BA@#notШ +9'> +9'> +y9'> +9'> +_9'> +9'> +E9'> +9'> ++9'> + + +.77"7 77"7# '+19''9L +9 7777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +9 7777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +9 7777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +9 7777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +9 7777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +9 7777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +9 7777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +9 7777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9 L +9 7777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6' +9'9 9 +777$'= E "',16;@R='>'>'>'>'>'>'>'>'>'>'''+k6'L+ 779'9 9 77&'9 9 77"7 9 9 77"7%'LL +9 7777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'+k9 77"7 9 77"7%'()= )4?JU`kRE'> +9'> +9'> +y9'> +9'> +_9'> +9'> +E9'> +9'> +( + +77"7 77"7# '> +9'+19''9L +9 7777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +9 7777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +9 7777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +9 7777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +9 7777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +9 7777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +9 7777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +9 7777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6' +9'9 9 +777$'= E "',16;@R='>'>'>'>'>'>'>'>'>'>'''+k6'L+ 779'9 9 77&'9 9 77"7 9 9 77"7%'9 L +9 7777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'LL +9 7777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'+k9 77"7 9 77"7%'()= )4?JU`RE'> +9'> +9'> +y9'> +9'> +_9'> +9'> +E9'> + ++ +H77"7 77"7# '> +H9'> +9'+19''9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6' +9'99+777$'= E "',16;@R='>'>'>'>'>'>'>'>'>'>'''+k6'L+ 779'9 977&'9977"7 9977"7%'9 L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9 L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'LL +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'+k977"7 977"7%'()= )4?JURE'> +9'> +9'> +y9'> +9'> +_9'> +9'> +B + +77"7 77"7# '> +9'> +H9'> +9'+19''9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6' +9'99+777$'= E "',16;@R='>'>'>'>'>'>'>'>'>'>'''+k6'L+ 779'9 977&'9977"7 9977"7%'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9 L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9 L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'LL +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'+k977"7 977"7%'()= )4?JvRE'> +9'> +9'> +y9'> +9'> +_9'> + +E +b77"7 77"7# '> +b9'> +9'> +H9'> +9'+19''9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6' +9'99+777$'= E "',16;@R='>'>'>'>'>'>'>'>'>'>'''+k6'L+ 779'9 977&'9977"7 9977"7%'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9 L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9 L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'LL +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'+k977"7 977"7%'()= )4?kvRE'> +9'> +9'> +y9'> +9'> +\ + +77"7 77"7# '> +9'> +b9'> +9'> +H9'> +9'+19''9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6' +9'99+777$'= E "',16;@R='>'>'>'>'>'>'>'>'>'>'''+k6'L+ 779'9 977&'9977"7 9977"7%'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9 L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9 L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'LL +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'+k977"7 977"7%'()= )4`kvRE'> +9'> +9'> +y9'> + +_ +|77"7 77"7# '> +|9'> +9'> +b9'> +9'> +H9'> +9'+19''9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6' +9'99+777$'= E "',16;@R='>'>'>'>'>'>'>'>'>'>'''+k6'L+ 779'9 977&'9977"7 9977"7%'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9 L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9 L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'LL +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'+k977"7 977"7%'()= )U`kvRE'> +9'> +9'> +v + + 77"7 77"7# '> + 9'> +|9'> +9'> +b9'> +9'> +H9'> +9'+19''9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6' +9'99+777$'= E "',16;@R='>'>'>'>'>'>'>'>'>'>'''+k6'L+ 779'9 977&'9977"7 9977"7%'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9 L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9 L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'LL +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'+k977"7 977"7%'()= JU`kvRE'> +9'> + +y +77"7 77"7# '> +9'> + 9'> +|9'> +9'> +b9'> +9'> +H9'> +9'+19''9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6' +9'99+777$'= E "',16;@R='>'>'>'>'>'>'>'>'>'>'''+k6'L+ 779'9 977&'9977"7 9977"7%'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9 L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9 L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'LL +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'+k977"7 977"7%'()= ?JU`kvRE'> + + +#77"7 77"7# '> +#9'> +9'> + 9'> +|9'> +9'> +b9'> +9'> +H9'> +9'+19'' +9'99+777$'= E "',16;@R='>'>'>'>'>'>'>'>'>'>'''+k6'L+ 779'9 977&'9977"7 9977"7%'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9 L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9 L +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'LL +97777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'+k977"7 977"7%'= w '1;EOYcmRH'>+e9'>+9'>+I9'>+9'>+-9'>+9'>+9'>+9'>+9'>+g9'6''9L +L7777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +L7777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +L7777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +L7777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +L7777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +L7777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +L7777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9L +L7777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9 L +L7777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'9 L +L7777%'= O %+17=CIRH'>6'>6'>6'>6'>6'>6'>6'>6'>6'>6'6''+k6'+kL77"7 L77"7%'+7T'77"7 77"7%'<$ |dL4t\D,lT<$ |dL4 t\D,  l T < $      ,  | d L 4      <   t \ D , LlT<$ \L<$ |\L4dT<$ l\D,tdL4 |lT<$ t\D,|dL4$lT<$ ,t\D,4dT<$ |tdL4 |lT<$ t\D,|dL4$ߔ߄lT<$ ެ,ݜ݌t\D,ܴ4ۤ۔|dL4ڼ<٬ٜلlT<$ DԴԜԄlT<$ \|lT<$ άΔ͌|dL4̼̤$˔˄lT<$ ʬ,ɜɌt\D,ȴ4Ǥǔ|dL4Ƽ<ŬŜńlT<$ DôäÌt\D,L|dL4T|dL4llT< tlT<$ ,|dL4<lT<$Dt\D,L|dL4TlT< \t\Ddt\,||d4l<$ lT< D|dLTlT$ \t\,d|d4ll<$ tT<$ \D,dL4 lT<$l<$ \|L4~~l}}}}}}T}<}$} ||t{{{{{{\{D{,{zz|yyyyyydyLy4yyxuttttt|tdtLt4tss rrrrrrlrTr<r$qqqppppptp\pDp,ooo nnnnn|ndnLn4mm$mllllllllTl<kggggglgTg<g$g ffteeeee|edeLe4eedcccccclcTc<c$c baaaaaata\aDa,a`]]\\\\\t\\\D\,[[[ ZZZZZ|ZdZLZ4YY$YXXXXXXlXTX<WW,WWVVVVVtV\VDUU4U$U TTTTT|TdTLSS<S,SRRRRRRlRTQMMMMMMlMTM<M$M LLKKKKK|KdKLK4KJJ IIIIIIlITI<I$HE$EDDDDDDlDTD<CC,CCBBBBBtB\BDAA4A$A @@@@@|@d@L??<?,?>>>>>>l>T==D=4=<<<<<8<@:H8P5$31.H,0*8(@&H$P"X `h< X@HPX ` hpxT( 0@Pw`_pG/(`pu]E-!($h4jxP7D$ 4 DTd $,4<$,4<DLd,4<DLT\t|4DLT\dlL\dlt|d~t||zxsqomkf|db`[YWUSQLJHCA?=;9720+)'%#!     $dt   |Ϭͼ $ $,4<~ |zu4s<qDoLmTh fd$b,]D[LYTW\UdSlN$L4J<ETC\Ad?l=t;|94<2L-d+l)t'|%#!Tt|      ,<L $ $,4L$,4<D\d,4<DLTlt|4DLT\d|L~\|dzlxtsqomkfddtb|`[YWUSQL|JHCA?=;9720+)'%#!    wXP,D\ txh`,NH<40L\p(DPט`\4 px8P (h8xwwjljDhhP` __PPNNhH0GG66440@0/8P|TA@4DTdt   dt|$ $,DLT$4<DLTlt|Td}l{ty|trpnlgeca\ZXVTRMKIDB@>=; 931- +)'$%,#4!<D4<DL T \ dlt<  $4D HXP $,אXh`DT, $,4<h(xpT\p0$,4<DLx8dltH,<DLT\Ht| `0D~T|\zdxlxwwwXw uusqomkjdj<hxhHf\dlbt`|`___h_0]][YWUSQPPNN`LtJHH(GGGxG@EECA?=;976644x20080///P--+)'%#!0H`   tLt(פ@, DwjPh\_PNtH640$`@@@@@AA@@A@*rev_revapp @@@'Decimal$Init#Coq@@):U@@#rev).V@&revapp:֞BA AB@@@@@9'rev_rev @@A6,&*AA@@@@@S&nztail @@@      ׷   ,÷  ۷  g,Ƿ  v h "Z %L (> +0 ." 1Đ 4ǐ 9 7 < : > <r @ >c B @T  D BE  F D6  H F' J H@ L)+@ 8,k*(= R'>3 = m %.7@IR[dR'>99'>99'>99'>99'>99'>99'>99'>99'>9 9'>9 9'G''>3 9'>3 9'>3 9'>3 9'>3 9'>3 9'>3 9'>3 9 '>3 9 'G''+k6'+k6'+7Tk6' AAp \,؀@@@@@%lnorm @ k i /T   h@q oO ,  $ + v  , wϷ - x . y / z 0 { 1 | 2 }o 3 ~_ 4 O@ 6@ +k7 = Y !(/6=DKRRR'>9'>9'>9'>9'>9'>9'>9'>9'>9 '>9 '6''+k6' X V AAdA@ @@@@@/nzhead_revapp_0 @@ B \ @ha @ oOBAv@&nzhead:g?x   @@@@@$-nzhead_revapp @@ C  @6BA42! ȩ%N А@@@@@W*nzhead_rev @@ D @πȩgAAۀecY ] @@@@@.rev_nztail_rev @@ NE >{u}AA@@@@@.revapp_nil_inv @@ pF ` S@ BAKA-@#andЖw@5 *ZA< RaA@@@@@ܠ+rev_nil_inv @@ G ٶ@PЩʀAzA\ rA@@@@@-rev_lnorm_rev @@ H o署逐 @[<ߪ󀐐A@%unorm*"HA@@@@@#.nzhead_nonzero @@ I  ̛@)'BBA@@@@@G'unorm_0 @@ J @@#iffС)O@FAYB éҀ\ZAA@@@@@w,unorm_nonnil @@ =K -pـ-pAA@@@@@,nzhead_invol @@ YL IAA@@@@@+unorm_invol @@ wM g$cAA@@@@@Ϡ*norm_invol @@ N @#int).J@H @o@$norm)9փA A@@@@@@@@ ӳ2@ ӳ2[)Datatypes$Init#Coq@@A@ Գq@ Գq\ @A@AB@@@@0  @0.i bYN Z0C涳N*uax0\͉!Ig*Logic_Type$Init#Coq@0 1jc6#Nat$Init#Coq@0eʤģPSR蠠)Notations$Init#Coq@0&v!D]hwnv %Peano$Init#Coq@0 jha|ؠ'Prelude$Init#Coq@0JqTttֱ0;RWMi\N'Tactics$Init#Coq@0/9m+ a%Tauto$Init#Coq@0̂"&/r"Wf$Init#Coq@0q+W,J+A"_39.z"<-"_49.z"-> #2 Q@@A@"_6 2@ . r@A@@@@@@@@"_72M접BAAA"_8'`o@B*uint_scope@ @2 Q@@A@"_9 ]@@A@@@@+@#_102M접 #_11'`o@B*,@@2 Q@@A@#_12 @ @A@@@@T@#_132M접 #_14'`o@AS@@2 Q@@E@#_15#v@#_162M접 AA@A#_17'`o@At@@Q2 Q@@@@#_18D@#_192M접 AA@A#_20'`o@A@@52 Q@@A@#_21 @@@A@@@@@#_222M접 #_23'`o@C@@֠C@02 Q@@A@#_24 @;O8@A@@@@@#_252M접 #_26'`o@C栐@@p@*2 Q@@A@#_27 F@50|F@A@@@@@#_282M접 #_29'`o@B@@.@!2 Q@@A@#_30 n@,DZ@A@@@@<@#_312M접 #_32'`o@A;@@#2 Q@@A@#_33 @.?K@A@@@@`@#_342M접 #_35'`o@C_a@@栐預a@2 Q@@A@#_36 @).@A@@@@@#_372M접 #_38'`o@B@@@&2 Q@@A@#_39 @1-$R@A@@@@@#_402M접 #_41'`o@A@8@#2 Q@@A@#_42 @.oH@A@@@@@#_432M접 #_44'`o@Bؠ@^?@(2 Q@@A@#_454@3oH(@A@@@@@#_462M접 #_47'`o@A@@2 Q@@A@#_48X@'(Ul@A@@@@&@#_492M접 #_50'`o@A%@@$2 Q@@A@#_51|@/uGY@A@@@@J@#_522M접 #_53'`o@AI@@*2 Q@@A@#_54@5A.@A@@@@n@#_552M접 #_56'`o@Am@@02 Q@@A@#_57@;*}@A@@@@@#_582M접 #_59'`o@A)int_scope@J@@@d6|9ID7@ 0|pqgC CV5J>@2%Auƨ]ǂ g@ ,[:?%_&ddh<!d'Decimal$Init#Coq@@$uint):U@"d'@(uint_ind:ll8 %Logic@"eq @$$@#rev).V+@&revapp:֞BA *8 A= @AC5C*E!  LJ#IHd5AO5@(eq_ind_r!2#V+ZB*C!uaHc083 D0j?9JEACgu\wSNH~|2eq0VC+*)oW_Z 'Ud^%ni9eCwrlVTzDONM{~ KyI]CķzǩxɩEsrqЩ oשmCȰѵ F۰éˠƩ РʩڐՠѐC㐩ޠ 栩G C)+20%35 9H޷<#>  ۩ C٩"C?M4O+& VT =IWY.]I`Gb/72 -g<6FA=CcqXsOJDzx.am{,}RJ'&%kS[V #Q`Z!je5aC|snhRPvKKJIwz Gu~EYC©,DecimalFacts'Numbers@*rev_revappԀзѩ8Զն@ة@&nztail oOưᩚ@&nzhead:g?  췐!Hְ CݰϠ**Ȑ"H0@'f_equal=!eީ9@,@AAAAAAAAAA,@AAAAAAAAAA@,@@@@@@@@@@@@@@@@@@@@@D!x((P,+-/u1S31579˷;=;'B-kEpFK7NBP@8S!:Ut,J(pVB]H9,5E`7  H5,]k@Sn//UpGICq 'x"G~eMHZ VV+@~@t7Q=x;VF5;i*f9@o>B@@@@@D!y@X~@a\lvʩa{ϩȐ"H1@&eq_ind JȩproΔA,@%Falsee@@؛@$Truey@@A@)False_induُ7@~Ѱ@۰s߰ge`͠^X@|ն@ ِ!ө'XVQ=K:¶@!5"ض$@ 'Jշ$+Ӑ/ϩE4@7ߐ@!< R&AX,GJ n|k@7RfS GU@=X{UA\`/ve@Mh7@Rm%/;Wr5]x9{#:?KM$@hD%:x@nK7r5P@1`/@~Ah@KV`lKfjTkp|ީ͠~U@FuȷVk@|hfq+)$b`"Ƿ@ʩr@|ϩԩ|ݩ@wʰ@а԰\ZU  SM@ʶ@ΐȩ MKF2@/@*Ͷ @?ʷ Ȑ$ĩ:~)@,Ԑ@ީ1G6ސM!<~|?琩wcq`@٩,G[H<J@2MpJ6QU$kZ@B],@Gb$0xLg*~Rm.p/4@B@ ]x9y/m{@c~@,{g*E5&U$@s6]@@xKUa}@[_I`eqө sJ@;j`xCːIKUh߷ȩy,ݠé␩j[ɷ˷ߩΩ˩ҩ,ک߷ ɰ r%,  հǠw-" ߰"W;&e4,1$$$$+$$$$$#1 %ݠ\C׷  8 !8< Q<JJ,G:::::A::::9G6;AY#!N#7 &N!#g*R/,`,]PPPPPPWPPPO]L2Q &o97d+9M!<d9}@h3B-v,sfffffffmffesb-Hg OMzAOc7RzOV~IXC&,|||||||||{'xC^}5/ecWeyMh*el޷_nY<,1=YtKEFE}{n|l8r@g@#notШo_ [{dC}mhQCzȐ!EmtfvM 5}f@2ZxdTϩ;dc_`,%̶@Lca׷\vթs°ec\@/nzhead_revapp_0rlEϰ;@lְذȠ÷ uAϠ̩Ԡ9ɠؠUԠKga @[ܶ@?ݐSJթWdȐ"H2XP<J9L@M2C6! $uڶ&@+-ةC$4 ҷ79"ǩ=9ߩݵ>$F@.I>:2M2F9Rt 86gCҐ6V>YM[@ېE`!Gb 72x(i> lSn;C&8rG=Cs(ַ{@c~BKoKg6CJn IUm,kC:,s÷D@zV|Blg,Ms<Bpx*1m|ACIxG, @F:xNB~aC<>aԷyŶ@EwN0өqw֩.fܩEx~|0$@:@ͰJ+Ѱ>/Rة.w!CqBSݰI@z֠ѷ4ݠ  ک2נI4Yuo@Nꐷ`!B⩷dV c&HV  ;CF*-~!/@46 L8=۷@'B6Щ FM海G8O@7RRC;VFZB[$1})A?pCېJ_GbVd@䐩Ni*Pk@ ;<!rGu\wDL:A{PQL|<߷@lVTxTʩpJL^w5PR^v5tCN5|M@_Kup"@V|!EKy>:vULRP@@ZNbũFKojCERjɷ')ζ@N"+WDܩ2zߩưBoYD-IC@ְ^4ڰR8f7W*CzVCנҷU jhfnda&4,{VT3 $3'F׷*,0Q W۷9RPO%@>C,F-HM 86HP/-fҐ<WG Z/C]D_,4F)c N2L$f|萩Rm,/pEYsZuBJ+-?y dHb|3hE5[o*pX`CU z^x3ҷIз~[Kq@nvYk tǷI_*,qaVo _uԩ@ũBwȩl˩ uԷ2usV۩Xީ|ǷȰ ҩjHVTlְnɠnݷްƩΠà ̠K ^75 oɩ ߠ`  ܩnǩ٠  ,C 6`    2U #} '{x=Ω  ,K ש̩  ,mkJ  ;J >] A ( C     G  ©h Ʃn Pi gfҐ < WU   Z /, ] D _ , 4ũ * d 8 36_  gF D}鐩 S n^ 0  q FC  t [ v C K] @ z N IL;  }' 4% i C F 6  \Y +  q  Y aB- V  d _b 4  J  ( \ L  ro A    o w'C l  z ux J  `+     r b   W      Y    ޷ ` ʷ vȷթA  Ʃ   x ɩ  m ̩    o     v շ3 W  ܩ 5   ߩ    ɰ         I m װ  K    ʠǷ   ߰  ǩ Ϡ Ġ  ҩ ͠  _m k   a ʩ   ݷ     ݩ  ڠ   b  uN L-   w   ! w  $  &  ǩ  *  C/C  .MΩ `  5 3  ' 5IV  :'  > T ( Cb  |   , a͐ 7 R a   Ut  X ? Z ' /  $ ^ 3 ! 7   g ~}鐩 S n l 0  q F ,  t [ v C K ܩ A { 8 J6v  ~] 5[ j  u G 7  ] C ,  r  Z bt W  N `LR 5 > K<   Z ] M  s Y B    p xY- m  d vb3 K  a,   ? s c   o X     >C   z x a  w֩B  ǩ $  y ʩ   n ͩ    #Y     w ַ4 ߷X ° ݩ          ʰ   o    ַ  J·  n ذ  (    ˠ      ȩ Р Š   Π  `     > ˩    Ƿ     ީ  ۠  ҩ   v  .   T   "  ݷ  %  '    +  y  .e c D  5 j   8    ; " =  ǩ  A  ZFC * E d a  L J ̷ > L `̐W  ) Q >  U  k ? Z y 1  o 4  /,  x䐩 N i z x +  l }  o V q > F 4 ; u J 8  N     ~ 5  j    G 7  ] %, ,  r  Z bũ  X  8 a6 6 t Lr     ^ N  t C C    q y n  N wLi L  U bS -   q t d   Y Y     p-   d bJ b 6 x4 שC  ȩ V  z ˩  o o Ω    UC   z x+ x ׷5  Y ð ީ ;        ˰   :Y       K  o ٰ       ̠      ɩ Ѡo Ơ   Ϡ  aٷ ׷     ̩         ߩ  ܠ   η  w  /   1   #  Ƿ  &  (    , ҩ   /  E  6 G   9  ݷ  < # >    B    E| z [ǐ 1 L ]   O $   R 9 T ! )ǩ  X  'q]C A \ { 3b . c a  U c wX  @ h© U  l # t V q  H  b  K  F, 0  e  m  B 2  _ '  m  U ] K R  a Oh  e l n 7 6  L      ^ N  t <, C    q y ܩ   o  8 x6 M   c ©.     u e   ,C Z         N L c · l yj ةD  ɩ    { ̩  Y p ϩ     -   d ba y ط6M K Z İ ߩ  m     o   ̰    lC   z xB  L. , p ڰ   R    ͠      ʩ Ҡ QY Ǡ   Р#  b       7 ͩ           6o ݠ     x  0  !     $    '  )     -    0ѷ Ϸ F  7 $    :  Ƿ  = $ ?     C ҩ Ʒ  F  \Ȑ 2 M :   P % ݷ  S : U " *  Y  (  \  rސ H c P %  f ;   i P k 8 @ǩ 5 o  >tC X s t Jc E z x . l z Y  W ٩ l $ ׶ :Զ V m   _ 3 U ( b ( ],ɷ GǷ  |  `  Y I  A >    l t b i  x fJ Đ | 5Nʰ 7P N M  ŷ c÷ ©.   |  u e   S, Z        !   8 6 d ÷! z ٩E  ʩ    | ͩ  CC q Щ        N L z ٷ7  [ Ű        5Y   Ͱ    -   d bx  Md b q ۰       Π 'o     ˩ Ӡ C Ƞ z ѠxY cE C     i Ω        hY ޠ  : y& $ 1"  N  %   (*   Mo .   1  G8  3  ;  >%@  2 D  G  ]ɐ3N  Q& Ƿ T;V#+  Z ҩ)ݷ ]ɷǷ sߐId - &g< ݷ jQl9A 6p ?s* _z C <,}R !gOW ǩL UCo Va d\E    Z7 n ;Q 8 v J H ?y?t, ^޷  ) S p` А#Uy}, ې L0 N2ed÷ !ܷzڷ ٩ Eʩ o |ͩj,qЩ  y 8 86ҷ{ڷ 8  \ư  ZCΰ  NL N  rܰ  ϠLY̩Ԡ -ɠ dҠb d{y     ϩ>o Cߠ zxp z\Z 2 #  &0)+ Y/ Q2 =; H 9  e<"?&A do E 2H  ^ ʐ4O  JR'U<W$, I![ *^  t Je  /'h=Ƿ kRm:B .7q ҩ@t +޷  `{  =-~S ݷ"hPX M Vշ+ A  v6 SCi 8~fn ǩc lC 8x es\ (  ( [N     R  h   Ր a; VV,  u  ԩ @ũF wȩ l˩ѩ  c  e|{ڷ 8    \ưb ,ΰ !l O 86  O з η sݰy РqCͩՠ ʠ NӠL ŷ e    ЩcY - db  {  3  $ 'Uo*, C0 zx 3  s qI : =G@'B Y F  hI  T R_ ː5P |S(9V=X%- {o"\ + I_  5 3u ᐩKf a(i>+ lSn;C `8r A *u  ,  a| F>.TǷ#iQY EN ҩW , B w +TDjݷ9go *d mB طXַ #) jZO} ǩz Cא  fs ?ө ? \e "  iȶ &  ͩ쐩x.mm, 3   Wܩ9ߩɰ z | O   sݰUР,ͩՠ8_fˠ 8Ԡ6  f   l ѩC  NL ܷ | ȷ Ʒ4  % (zY+- -1 db 4   J  ; >loA(C C G zx J   ` ̐6Q T)^W>Y&. Y#] , `  k iv ␩Lg )j?PmTo<D o9s B `v  L- J b} x?/UB$jRZ wO X A-  -C + x ]UEk4Ƿ:hp \e ҩn "C  Y  $ Bk[&ݷP~ A{  Y  o Ω : 'q©fũ &ǩ   Cϩ  g֩@-nzhead_revappO8Ȑ!s @(uint_dec r뀠&Specif@'sumbool7̂K@ް xBAAAA@@@@@D$0-̩ 됩9 Mᠷ)ٷ0 k\#!#Bȩ @&eq_sym X+J Nҩm@'rev_rev C7  rC ;J u+ P2|?@'B DE,G$ I *:@*nzhead_rev0|F=USFTD8YWJX@@[0B@#andЖw@ WeyMh5)A:C`n@Vq*2"vt*iw_z ;J"fB%BBB@@@@D@/sIO 3]@ @G=DE_:am   ԩàtK@<MHmdoC@9sWck_̩'|ϩ`cA?@g8 iG< '!̷@ @}sҩO65    ~@oİ 3C@ȰFѰ4rp@i xĐ m<XR@ @\gfѐG I  8' @ d$C@Sթŷ .A1 Š@ɠ ˠ=&m.@ ~@ߩՠ4ix z # iX  @ѩ⠩&AUC4B@*E`JH=K_3NNbҷ@ &nϷW_@ z@Jev'3 ~ T | :@Wr3Ces@[vm7'{y/#n|d[@$O'@+ - W@ v@A7{Xd z  x˩ kB@3D.dC@zhLX`ThqĩUX64@\- ^<1@ r@rhǩ+*  v   t s@duH(Cն@}۷޷ưuge@^ mb1MG@ n@ݰ\[Ɛ< r>  p- @bYC@ ʩ #&@ ꐷ2b~x#@ j@ԩʠ)m no l^M ն@Ʃנ6|JC)7@:ߠ?=絷2@T(CWǷ@ {cķLT@ f@?Z( jI h~ /@Lg({CZh@Pk,;:rptres@@@.revapp_nil_inv?Kꐀ KJ@ʷ@Nt@*ΩQSFg/ul}n,<7>89:η;<=e>B?@{m BDu,rCvSȐ"u0D'_2,$ɩ( @+rev_nil_inv.m0*շ@ɶ@Eɩ+  @u .@ʰ$X4Fа*h:Lְ0J̷@Rܰ6,FX<ŠvL^BˠKRd HҩѠ  X jNנ^pTݠʷdvZxCi j!o$ '-+. (m,3#jK:@ePR6;ob`TA)D_E-H]I1L[M5P"YQ9T&eWU=X*EUYA\.%S]E`2QaId6OeéMh:M COjGUFHط lJo˩WrNG@_vԩ^yUBGH,٩c~Z=@ݩO2@ SP/t7x|"&*.p2P 60:WCGH#Xabĩ\,$ɩW(L+%з@ jz#׷5'۷9ð[+߷=ǰ;/A˰"3Eϰ&7IӰ*;Mװ.?Q۰2CU߰6{GY:[CGHnPca{֩ jvN,oqsK f,vp@6F鐷1432PCA5n" %@r&)>v*-<z.1"f:~25&F869*&6:"=.4>&A22B*E60F.I:.C0KG6'HM+)P8S/!@W?Z6(),D_;!G0wf@L4|J~gHm˩UpqϩYtuө]xyשa|"}۩e&ߩi*qm.Qq21}u6{y:y8C{GrH9vPzlCst,l n{ @b`^[˷cַ<Է ҷķ""зȷ&&η̷**̷з..ʷ Է22|ȷ$ط66\Ʒ(ܷ:İ:<CưGHO1wDBΰַKհ/,PڰT, WQ@x'ʐvt1$"Oa!Se W ig[m"G_q&'cu*gy.k}"2o# &6s'*:C,GH.| 14!8 ; z ,%@wXG@r]_H|omaN6QlR:UjV>YhZB]"f^Fa&rdbJe*RbfĩNi.2`jȩRm2^n̩Vq6\rЩZu:ZC\wGbSHyǩW|ةd[Ml$kbTU,pgM \@`<D"& *.}2]6= :dCGH0@.rev_nztail_revDZmC˩ @%lnorm<ߪ驚@%unorm*"H}ܷݩ4_ɰUͰGA@԰@װ!۰g߰<:2,(""""""""""!/@tt2ѐ͠C#  +ط -"0pj@7@hK鐷 ? % [ge(GmJuXͶ@,[0fC#53TI8W 5<@$?^ ' =)Dc੷B.I Lkzn|2$!C̐RPqf:UtRY@A\{*D*ZFa_Kf i7OA>Com#Wroѷv@^yGaGwc~|h ũTl+^[C@t$@{d~d7 qH{xC#]ȵA @T  eC@ķz嵷کɩ^("ͷ@ЩΩթqө ݩ* C]˰{E?@Ұ װܰ -97G*Cz"b\@ )|ؐ.w  JVT6v9dGC萑@# &<@)+B .0@$26޶@9u,N.<%@<(CUDX8FŐ/JF2MGPPBQ<SS ,U"V#Ȑ!n/@@D@Hc$0dxXf吩OjtfRmwp=S?sgu^yR!ua|UL1N#vm00p3ͩ[]2|?ܩ j̩lA!Ny۩ʠ{Pö0]$v'٠_Ҷ?l3 a6nͷϩN{ϩBLEe}ܷީ]ǰdީʰgQ'%7{ TC)@.nzhead_nonzerooH˩ܰXcM C@#iffС)-lِ l,!| nh@㐷  \ZR>L1C 5 $ |'@*')?pn1fR`EC4I84;@#> / ;L=Eft*(YCĐH]1L HO@7RCO/QYz&><mCؐ\qE`!\c@Kf3W3cem.:RPCpYt5pҷw@_z}GkGwyBNf%dC%muI@sm[[ةԩyVbz9xC9e]@]ooti~jvMC(MUq@MSY|~aC<aթE"Ƿ@=2IzuCPuԵ560۷@ð-d$"9xCdCfа4ذҩƷ àǠɷˠϠ   Ӡ ~נe"۠L&ߠ3*ꐑ" "~ %;(+{- Mll,4m58Ȑ!fP  l@n&A,a1D,G\H0KZL4OXP8SdVT<WDTX@[$R\D_P`HcNd©LgL CNipn@#int).J@@AAAA@@@@@D!ig RA!wh  k,2%B"79޷; = ? xAVC4EG"#t@+unorm_involA.TIũᐩ@(eq_trans!yP7퐩V<YYgEE GcIut 1/x׶5leXONW,;rQ?@̰y[ZWH\MaǷRfW ko\ǠpCa̠ufѠz k֠p۠C@$norm)9փ 8lF