7L6<5Π@%primeBA@&PrologB@'ProgramB@%TautoB@#InvB@(EqualityB@&ProPreB@0Logic_TypeSyntaxB@*Logic_TypeB@'PreludeB@"WfB@%PeanoB@,SpecifSyntaxB@&SpecifB@+LogicSyntaxB@%LogicB@/DatatypesSyntaxB@)DatatypesB@$CoreB@"IOB@S@%primeBB*primediv1pB ,primepropdivB 5nonprime_primewitnessB3nonprime_sqrwitnessB0nonprime_witnessB(primedecB)bprimedecB!+primebprimeB%&bPrimeB)%PrimeB@@.!_@B%Arith@%ArithBA8 AB&Wf_nat@&Wf_natBAABB&lemmas@&lemmasBAJCB#dec@#decBAS%DB'divides@'dividesBA\.EB#mod@#modBA<(CONSTANT@@@@C)Datatypes@#nat@@!nD%Logic@#and@@D%Peano@"gt@AD!@B$@AB'!qBDJ@'Divides@B@D+@"or@@D3@"eq@@F(DHCBK@A$univ@)prop_univBA@@@@@@BD@@ BA@@@A EA @@@FA @@@AGA@@@@@@ACE@@@@C@@@!nD~@}@@D|@{@AD@B@AB!!qBD@"lt@DB@BD@@ C@D@@@D@@@J2DLDBOJA$univ@)prop_univBA@@@@@@-鰠@@@@C@@@!nDУ@@@ABD@D@@AD!@B$@AB'nBD1@@B@D@@@D@@@B$DDC@D4D2,BK$BD!@@7D6@BD-(D@D(D#`BD%bEBDRPBg@BDNDM;@BDD?-@D>D9v2@De1BzSBDQa:@DKFDFQ)Cr!HD࣓e@'and_ind@HJCI @CBoBDm}@@DgbDbm=ADDLBBD\DK@BDF@DWDzsGCC7BC;CDjCaAD>~QC8CB̥BDDx@BDt@D{D*@B CBDODZD@@:D@@hB~[AA@@@@@j@@@@Ci@h@@!n @C BDf@e@AD@B@A@BD@@D[@@B@D@"ex@@;CDD*BDZD\GD8tD'K D<xD>C~DCDED@pCD7$EDDJzAD@CD|D~IDZ D\DWN  CFCDRDDJGDУp@ADmDvDqDDKDlD qDCBǥB@DTtD}D DBԥBDg@D9@@@D@@ @@УDCCB@DDb߲CDyDC*DlDV@$mult@D.D) D+C*CD0DУ$Core@#LET@z@%False@@DIDD( C DʣDQ#DL0vD𣓰@&eq_ind@8C9"ee4A*$CC@@$True@@@A/55CNAHCTOBDå@D~Dy]DD{_GCD ID@ADjQQDlSףD@AqXCrBCD#D@BDgDۣD𣓰@&or_ind@DC  CD.DDyD{ ܣDDDS DI D @<_n_S@D(@@$|C."D1@+le_lt_or_eq@D>@&div_leA@DO@+decDeMorgan@5CȥٲCʥ@DУ]@@Dd@%ltdec@ģDc@@ˠBA@@@@@\@@@@C[@Z@@!nCDQ@P@AD@B@A CDn@@DH@@B@D࣓@&ex_ind@8C9!dD@@@D@@9:DD >DD@@FD@@@^C_&D#D%D@"le@@D@$mult@cc%$CuC?DDDژMD8DУ @AD >DDD$D&D𣓰@(eq_ind_r@`mCa\DD TsD)D$w8Dy:DDDrDtDDB@BDTDtDXBKDC{DUDdB@BDܣD4 D6 @D)C#@CGDx DD5VD8B@BDDTWD@D-,C iC1LDD6XD9B@BDD %YD(@DG CCKMD/aCbͣDe[DWB@BD.D)& D( @D.b!CuAC7C CD@D;Z]D3tN\ww9w9wD?84D2CGD,*&D@$B/@B@DFqвCGC Dl B@B@DR^C(CDB@B@D^DzCڲCӣD̲B@Bĥ@DjCإCDBƥ@B@CǥCDB@B@CCD$B@B@D[CfCDB@Bz@D\CuCC|CskDAD^DCOCD_PI0ICΣDMDD @-lt_n_nm_m_gt_A@WDCDDgDiB@B@DYCХCD'B@B@D{C.CFDB@Br@DPCcCj\DZUBs@BM@D| CaCF>DK!dD @ @@D @ @4?DD @@@D @@OODDD @ @Y D=[Cm!NCBs!mBD/iF@BDgJb@BDZDUC@DPCKDHCDJD<7EDOD0+"IHC C @D࣓ @&ex_ind@ClDidDk!)C!xC  AD࣓ @'and_ind@DwDDrDmFDfDͲCΥDDD|GDDupC BCDDDaaDc CD2DDHDDCDDDIDDC DCDy  ED𣓰 S@&or_ind@DNDDCݣDգDܣDɘKDDC FDУ@A0C1DDDߘLDD,hDУ@AD(oDDDuu(DDy,D!{D ΣD CC?-DXCYDDD pDDStD.f6Cg@C QGDD.D wD2DD{KDBzC{=D:5DD_@@Df@ @ˠB B@B@ŐAA@@@@@ @@@@C @ @@!pC !nCD@@B eCD @ @ C q@D࣓ @'and_ind@D @ @DD9@B<@AB? BD(AE@D @ @@D @ @@V@ DXBFDD ];'D_=*C2 ACBe&BDL$@D"DnXG BD/.R^BvqBxnBk@Ba@$AA@@@@@F@@@@D @@DN@M@@BD@ADE@@@AC@<@C !nBD9@@A@BD@O@B8@Dp@o@Dw@@CHCD#A *CDGQ 0@D࣓@'and_ind@D#TVBIGBD16Y@D@y@@D@x@@\;jD^=jD;D6nnxC XAD@)False_ind@B'@D @ @`VCxAvC~sBDpDm@BDlDi@DhDcD`zCD_CD|]D[DxBBD@DUPPDD}CGDEB@ D )@ @CBCBDDA@BDDAߥ@DDDACDCDD@BDDC⥐CCD֣D)CDңD)D"Gt@>_n_S@DDDK@$plus@գDDD DݣD$D&D(DDD.L(D) (D+@'gt_Sn_O@&TAA@@@@@@