%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SWW211+1 : TPTP v8.1.2. Released v5.2.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n010.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Fri Sep 1 00:49:26 EDT 2023 % Result : Theorem 74.43s 10.66s % Output : Proof 237.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.10 % Problem : SWW211+1 : TPTP v8.1.2. Released v5.2.0. % 0.00/0.11 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.11/0.32 % Computer : n010.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 300 % 0.11/0.32 % DateTime : Sun Aug 27 17:46:34 EDT 2023 % 0.11/0.33 % CPUTime : % 0.18/0.60 ________ _____ % 0.18/0.60 ___ __ \_________(_)________________________________ % 0.18/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.18/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.18/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.18/0.60 % 0.18/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.18/0.60 (2023-06-19) % 0.18/0.60 % 0.18/0.60 (c) Philipp Rümmer, 2009-2023 % 0.18/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.18/0.60 Amanda Stjerna. % 0.18/0.60 Free software under BSD-3-Clause. % 0.18/0.60 % 0.18/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.18/0.60 % 0.18/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.18/0.61 Running up to 7 provers in parallel. % 0.18/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.18/0.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.18/0.62 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.18/0.62 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.18/0.62 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.18/0.62 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 0.18/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 17.92/3.20 Prover 3: Preprocessing ... % 17.92/3.21 Prover 0: Preprocessing ... % 18.29/3.25 Prover 5: Preprocessing ... % 18.81/3.31 Prover 2: Preprocessing ... % 19.17/3.41 Prover 6: Preprocessing ... % 20.11/3.56 Prover 1: Preprocessing ... % 20.11/3.56 Prover 4: Preprocessing ... % 50.90/7.59 Prover 1: Warning: ignoring some quantifiers % 53.16/7.87 Prover 3: Warning: ignoring some quantifiers % 53.16/7.92 Prover 1: Constructing countermodel ... % 54.03/8.00 Prover 3: Constructing countermodel ... % 54.03/8.03 Prover 6: Proving ... % 61.34/8.95 Prover 4: Warning: ignoring some quantifiers % 63.76/9.29 Prover 4: Constructing countermodel ... % 69.98/10.10 Prover 0: Proving ... % 70.81/10.28 Prover 5: Proving ... % 73.62/10.57 Prover 2: Proving ... % 74.26/10.65 Prover 3: proved (10026ms) % 74.26/10.65 % 74.43/10.66 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 74.43/10.66 % 74.43/10.67 Prover 6: stopped % 74.43/10.67 Prover 5: stopped % 74.43/10.67 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 74.43/10.67 Prover 0: stopped % 74.43/10.67 Prover 2: stopped % 74.43/10.68 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 74.43/10.68 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 74.43/10.68 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 74.43/10.68 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 83.32/11.89 Prover 8: Preprocessing ... % 83.32/11.90 Prover 10: Preprocessing ... % 83.93/11.95 Prover 7: Preprocessing ... % 83.93/11.98 Prover 13: Preprocessing ... % 85.20/12.10 Prover 11: Preprocessing ... % 96.81/13.64 Prover 10: Warning: ignoring some quantifiers % 96.81/13.69 Prover 7: Warning: ignoring some quantifiers % 97.49/13.78 Prover 10: Constructing countermodel ... % 98.04/13.83 Prover 7: Constructing countermodel ... % 98.98/13.93 Prover 8: Warning: ignoring some quantifiers % 99.82/14.06 Prover 8: Constructing countermodel ... % 100.31/14.28 Prover 13: Warning: ignoring some quantifiers % 104.69/14.69 Prover 13: Constructing countermodel ... % 105.48/14.88 Prover 13: stopped % 105.48/14.89 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 107.31/15.05 Prover 11: Warning: ignoring some quantifiers % 109.12/15.26 Prover 11: Constructing countermodel ... % 112.03/15.65 Prover 16: Preprocessing ... % 114.28/15.96 Prover 1: stopped % 114.28/15.96 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 124.19/17.29 Prover 19: Preprocessing ... % 126.77/17.63 Prover 16: Warning: ignoring some quantifiers % 127.55/17.71 Prover 16: Constructing countermodel ... % 135.91/18.97 Prover 19: Warning: ignoring some quantifiers % 138.29/19.11 Prover 19: Constructing countermodel ... % 145.26/20.02 Prover 16: stopped % 160.89/22.31 Prover 19: stopped % 200.25/27.97 Prover 4: stopped % 214.86/30.53 Prover 7: stopped % 229.64/33.88 Prover 10: Found proof (size 2359) % 229.64/33.88 Prover 10: proved (23203ms) % 229.64/33.88 Prover 8: stopped % 229.64/33.88 Prover 11: stopped % 229.64/33.88 % 229.64/33.89 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 229.64/33.89 % 234.42/37.74 % SZS output start Proof for theBenchmark % 234.42/37.76 Assumptions after simplification: % 234.42/37.76 --------------------------------- % 234.42/37.77 % 234.42/37.77 (arity_Complex__Ocomplex__RealVector_Oreal__normed__vector) % 234.42/37.77 $i(tc_Complex_Ocomplex) & % 234.42/37.77 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) % 234.42/37.77 % 234.42/37.77 (arity_Int__Oint__Groups_Oone) % 234.42/37.77 $i(tc_Int_Oint) & class_Groups_Oone(tc_Int_Oint) % 234.42/37.77 % 234.42/37.77 (arity_Int__Oint__Int_Onumber__ring) % 234.42/37.77 $i(tc_Int_Oint) & class_Int_Onumber__ring(tc_Int_Oint) % 234.42/37.77 % 234.42/37.77 (arity_Int__Oint__Rings_Olinordered__idom) % 234.42/37.77 $i(tc_Int_Oint) & class_Rings_Olinordered__idom(tc_Int_Oint) % 234.42/37.77 % 234.42/37.77 (arity_Int__Oint__Rings_Olinordered__semidom) % 234.42/37.77 $i(tc_Int_Oint) & class_Rings_Olinordered__semidom(tc_Int_Oint) % 234.42/37.77 % 234.42/37.77 (arity_RealDef__Oreal__Orderings_Opreorder) % 234.42/37.77 $i(tc_RealDef_Oreal) & class_Orderings_Opreorder(tc_RealDef_Oreal) % 234.42/37.77 % 234.42/37.77 (arity_RealDef__Oreal__RealVector_Oreal__normed__field) % 234.42/37.77 $i(tc_RealDef_Oreal) & class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) % 234.42/37.77 % 234.42/37.77 (arity_RealDef__Oreal__Rings_Ocomm__semiring__1) % 234.42/37.77 $i(tc_RealDef_Oreal) & class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal) % 234.42/37.77 % 234.42/37.77 (conj_0) % 234.60/37.80 $i(v_y____) & $i(v_x____) & $i(v_n____) & $i(tc_Complex_Ocomplex) & % 234.60/37.80 $i(tc_Nat_Onat) & $i(v_e____) & $i(tc_RealDef_Oreal) & $i(v_ga____) & % 234.60/37.80 $i(v_f____) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: % 234.60/37.80 $i] : ? [v5: $i] : (c_Complex_Ocomplex_OComplex(v_x____, v_y____) = v3 & % 234.60/37.80 c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v2, v3) = v4 & v_s(v1) = % 234.60/37.80 v2 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5 & % 234.60/37.80 c_Fun_Ocomp(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat, v_f____, v_ga____) = v0 & % 234.60/37.80 hAPP(v0, v_n____) = v1 & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) % 234.60/37.80 & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v_e____)) % 234.60/37.80 % 234.60/37.80 (fact_Bit1__def) % 234.60/37.80 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & % 234.60/37.80 $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 234.60/37.80 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v3) | ~ % 234.60/37.80 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v1) = v2) | ~ $i(v1) | % 234.60/37.80 (c_Int_OBit1(v1) = v3 & $i(v3)))) % 234.60/37.80 % 234.60/37.80 (fact_Divides_Otransfer__nat__int__function__closures_I1_J) % 234.60/37.80 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 % 234.60/37.80 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 234.60/37.80 (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v2, v1) = v3) | ~ $i(v2) | ~ % 234.60/37.80 $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) | ~ % 234.60/37.80 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) | % 234.60/37.80 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3))) % 234.60/37.80 % 234.60/37.80 (fact_Im) % 234.60/37.80 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (c_Complex_Ocomplex_OComplex(v1, % 234.60/37.80 v0) = v2) | ~ $i(v1) | ~ $i(v0) | c_Complex_OIm(v2) = v0) % 234.60/37.80 % 234.60/37.80 (fact_Im_Odiff) % 234.60/37.80 $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ! [v0: $i] : ! [v1: $i] : % 234.60/37.80 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (c_Complex_OIm(v1) = v2) | ~ % 234.60/37.80 (c_Complex_OIm(v0) = v3) | ~ % 234.60/37.80 (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v2, v3) = v4) | ~ $i(v1) | % 234.60/37.80 ~ $i(v0) | ? [v5: $i] : (c_Complex_OIm(v5) = v4 & % 234.60/37.80 c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v1, v0) = v5 & $i(v5) & % 234.60/37.80 $i(v4))) % 234.60/37.80 % 234.60/37.80 (fact_N1) % 234.60/37.81 $i(c_Int_OPls) & $i(v_x____) & $i(v_N1____) & $i(tc_Nat_Onat) & $i(v_e____) & % 234.60/37.81 $i(tc_RealDef_Oreal) & $i(v_f____) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 234.60/37.81 ? [v3: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 & % 234.60/37.81 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & % 234.60/37.81 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, v2) = v3 & $i(v3) % 234.60/37.81 & $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v_f____, % 234.60/37.81 v4) = v5) | ~ $i(v4) | ~ % 234.60/37.81 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v_N1____, v4) | ? [v6: $i] % 234.60/37.81 : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : (c_Complex_ORe(v6) = v7 & % 234.60/37.81 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v8) = v9 & % 234.60/37.81 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v7, v_x____) = v8 & % 234.60/37.81 v_s(v5) = v6 & $i(v9) & $i(v8) & $i(v7) & $i(v6) & % 234.60/37.81 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9, v3)))) % 234.60/37.81 % 234.60/37.81 (fact_N2) % 234.60/37.81 $i(c_Int_OPls) & $i(v_y____) & $i(v_N2____) & $i(tc_Nat_Onat) & $i(v_e____) & % 234.60/37.81 $i(tc_RealDef_Oreal) & $i(v_ga____) & $i(v_f____) & ? [v0: $i] : ? [v1: $i] % 234.60/37.81 : ? [v2: $i] : ? [v3: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) % 234.60/37.81 = v1 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & % 234.60/37.81 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, v2) = v3 & $i(v3) % 234.60/37.81 & $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v_ga____, % 234.60/37.81 v4) = v5) | ~ $i(v4) | ~ % 234.60/37.81 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v_N2____, v4) | ? [v6: $i] % 234.60/37.81 : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : % 234.60/37.81 (c_Complex_OIm(v7) = v8 & c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v9) % 234.60/37.81 = v10 & c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v8, v_y____) = % 234.60/37.81 v9 & v_s(v6) = v7 & hAPP(v_f____, v5) = v6 & $i(v10) & $i(v9) & $i(v8) & % 234.60/37.81 $i(v7) & $i(v6) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10, % 234.60/37.81 v3)))) % 234.60/37.81 % 234.60/37.81 (fact_Nat_Oadd__0__right) % 234.60/37.81 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 % 234.60/37.81 & $i(v0) & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~ % 234.60/37.81 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ~ $i(v1))) % 234.60/37.81 % 234.60/37.81 (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J) % 234.60/37.82 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 % 234.60/37.82 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 234.60/37.82 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v3) | ~ $i(v2) | ~ % 234.60/37.82 $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) | ~ % 234.60/37.82 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) | % 234.60/37.82 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3))) % 234.60/37.82 % 234.60/37.82 (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J) % 234.60/37.82 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 % 234.60/37.82 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 234.60/37.82 (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v2, v1) = v3) | ~ $i(v2) | ~ % 234.60/37.82 $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) | ~ % 234.60/37.82 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) | % 234.60/37.82 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3))) % 234.60/37.82 % 234.60/37.82 (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J) % 234.60/37.82 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 % 234.60/37.82 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 234.60/37.82 (c_Nat__Transfer_Otsub(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ % 234.60/37.82 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) | ~ % 234.60/37.82 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) | % 234.60/37.82 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3))) % 234.60/37.82 % 234.60/37.82 (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J) % 234.60/37.82 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 % 234.60/37.82 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 234.60/37.82 (c_Power_Opower__class_Opower(tc_Int_Oint, v2, v1) = v3) | ~ $i(v2) | ~ % 234.60/37.82 $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) | % 234.60/37.82 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3))) % 234.60/37.82 % 234.60/37.82 (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J) % 234.60/37.82 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 % 234.60/37.82 & $i(v0) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v0)) % 234.60/37.82 % 234.60/37.82 (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J) % 234.60/37.82 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] : % 234.60/37.82 (c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 & % 234.60/37.82 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0) & % 234.60/37.82 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1)) % 234.60/37.82 % 234.60/37.82 (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J) % 234.60/37.82 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 234.60/37.82 ? [v3: $i] : (c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 & % 234.60/37.82 c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3 & % 234.60/37.82 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v3) & $i(v2) & $i(v1) & % 234.60/37.82 $i(v0) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3)) % 234.60/37.82 % 234.60/37.82 (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J) % 234.60/37.83 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 234.60/37.83 ? [v3: $i] : (c_Int_OBit1(v1) = v2 & c_Int_OBit1(c_Int_OPls) = v1 & % 234.60/37.83 c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3 & % 234.60/37.83 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v3) & $i(v2) & $i(v1) & % 234.60/37.83 $i(v0) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3)) % 234.60/37.83 % 234.60/37.83 (fact_Numeral1__eq1__nat) % 234.60/37.83 $i(c_Int_OPls) & $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : % 234.60/37.83 (c_Int_OBit1(c_Int_OPls) = v1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 234.60/37.83 v1) = v0 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v1) & $i(v0)) % 234.60/37.83 % 234.60/37.83 (fact_Pls__def) % 234.60/37.83 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Int_OPls & $i(tc_Int_Oint) & % 234.60/37.83 $i(c_Int_OPls) % 234.60/37.83 % 234.60/37.83 (fact_Re) % 234.60/37.83 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (c_Complex_Ocomplex_OComplex(v1, % 234.60/37.83 v0) = v2) | ~ $i(v1) | ~ $i(v0) | c_Complex_ORe(v2) = v1) % 234.60/37.83 % 234.60/37.83 (fact_Re_Odiff) % 234.60/37.83 $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ! [v0: $i] : ! [v1: $i] : % 234.60/37.83 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (c_Complex_ORe(v1) = v2) | ~ % 234.60/37.83 (c_Complex_ORe(v0) = v3) | ~ % 234.60/37.83 (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v2, v3) = v4) | ~ $i(v1) | % 234.60/37.83 ~ $i(v0) | ? [v5: $i] : (c_Complex_ORe(v5) = v4 & % 234.60/37.83 c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v1, v0) = v5 & $i(v5) & % 234.60/37.83 $i(v4))) % 234.60/37.83 % 234.60/37.83 (fact_Suc__n__div__2__gt__zero) % 234.60/37.83 $i(c_Int_OPls) & $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 234.60/37.83 ? [v3: $i] : ? [v4: $i] : (c_Int_OBit1(c_Int_OPls) = v2 & c_Int_OBit0(v2) = % 234.60/37.83 v3 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v3) = v4 & % 234.60/37.83 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & % 234.60/37.83 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v4) & $i(v3) & $i(v2) & % 234.60/37.83 $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : ( ~ % 234.60/37.83 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v5, v1) = v6) | ~ $i(v5) | ~ % 234.60/37.83 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v5) | ? [v7: $i] : % 234.60/37.83 (c_Divides_Odiv__class_Odiv(tc_Nat_Onat, v6, v4) = v7 & $i(v7) & % 234.60/37.83 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v7)))) % 234.60/37.83 % 234.60/37.83 (fact__096EX_An0_O_AALL_An_062_061n0_O_Aabs_A_IIm_A_Is_A_If_A_Ig_An_J_J_J_A_N_Ay_J_A_060_Ae_A_P_A2_096) % 234.60/37.84 $i(c_Int_OPls) & $i(v_y____) & $i(tc_Nat_Onat) & $i(v_e____) & % 234.60/37.84 $i(tc_RealDef_Oreal) & $i(v_ga____) & $i(v_f____) & ? [v0: $i] : ? [v1: $i] % 234.60/37.84 : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & % 234.60/37.84 c_Int_OBit0(v0) = v1 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, % 234.60/37.84 v1) = v2 & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, v2) % 234.60/37.84 = v3 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: % 234.60/37.84 $i] : ( ~ (hAPP(v_ga____, v5) = v6) | ~ $i(v5) | ~ % 234.60/37.84 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5) | ? [v7: $i] : ? % 234.60/37.84 [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : (c_Complex_OIm(v8) % 234.60/37.84 = v9 & c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v10) = v11 & % 234.60/37.84 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v9, v_y____) = v10 & % 234.60/37.84 v_s(v7) = v8 & hAPP(v_f____, v6) = v7 & $i(v11) & $i(v10) & $i(v9) & % 234.60/37.84 $i(v8) & $i(v7) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11, % 234.60/37.84 v3)))) % 234.60/37.84 % 234.60/37.84 (fact__096EX_An0_O_AALL_An_062_061n0_O_Aabs_A_IRe_A_Is_A_If_An_J_J_A_N_Ax_J_A_060_Ae_A_P_A2_096) % 234.60/37.84 $i(c_Int_OPls) & $i(v_x____) & $i(tc_Nat_Onat) & $i(v_e____) & % 234.60/37.84 $i(tc_RealDef_Oreal) & $i(v_f____) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 234.60/37.84 ? [v3: $i] : ? [v4: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = % 234.60/37.84 v1 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & % 234.60/37.84 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, v2) = v3 & $i(v4) % 234.60/37.84 & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : ( ~ % 234.60/37.84 (hAPP(v_f____, v5) = v6) | ~ $i(v5) | ~ % 234.60/37.84 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5) | ? [v7: $i] : ? % 234.60/37.84 [v8: $i] : ? [v9: $i] : ? [v10: $i] : (c_Complex_ORe(v7) = v8 & % 234.60/37.84 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v9) = v10 & % 234.60/37.84 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v8, v_x____) = v9 & % 234.60/37.84 v_s(v6) = v7 & $i(v10) & $i(v9) & $i(v8) & $i(v7) & % 234.60/37.84 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10, v3)))) % 234.60/37.84 % 234.60/37.84 (fact__096_B_Bthesis_O_A_I_B_BN1_AN2_O_A_091_124_AALL_An_062_061N1_O_Aabs_A_IRe_A_Is_A_If_An_J_J_A_N_Ax_J_A_060_Ae_A_P_A2_059_AALL_An_062_061N2_O_Aabs_A_IIm_A_Is_A_If_A_Ig_An_J_J_J_A_N_Ay_J_A_060_Ae_A_P_A2_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096) % 234.89/37.85 $i(c_Int_OPls) & $i(v_y____) & $i(v_x____) & $i(tc_Nat_Onat) & $i(v_e____) & % 234.89/37.85 $i(tc_RealDef_Oreal) & $i(v_ga____) & $i(v_f____) & ? [v0: $i] : ? [v1: $i] % 234.89/37.85 : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : % 234.89/37.85 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 & % 234.89/37.85 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & % 234.89/37.85 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, v2) = v3 & $i(v5) % 234.89/37.85 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v6: $i] : ! [v7: $i] : ( % 234.89/37.85 ~ (hAPP(v_ga____, v6) = v7) | ~ $i(v6) | ~ % 234.89/37.85 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v6) | ? [v8: $i] : ? % 234.89/37.85 [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : (c_Complex_OIm(v9) % 234.89/37.85 = v10 & c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v11) = v12 & % 234.89/37.85 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v10, v_y____) = v11 & % 234.89/37.85 v_s(v8) = v9 & hAPP(v_f____, v7) = v8 & $i(v12) & $i(v11) & $i(v10) & % 234.89/37.85 $i(v9) & $i(v8) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12, % 234.89/37.85 v3))) & ! [v6: $i] : ! [v7: $i] : ( ~ (hAPP(v_f____, v6) = v7) | ~ % 234.89/37.85 $i(v6) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v6) | ? % 234.89/37.85 [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : (c_Complex_ORe(v8) % 234.89/37.85 = v9 & c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v10) = v11 & % 234.89/37.85 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v9, v_x____) = v10 & % 234.89/37.85 v_s(v7) = v8 & $i(v11) & $i(v10) & $i(v9) & $i(v8) & % 234.89/37.85 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11, v3)))) % 234.89/37.85 % 234.89/37.85 (fact__096abs_A_IRe_A_Is_A_If_A_Ig_An_J_J_J_A_N_Ax_J_A_L_Aabs_A_IIm_A_Is_A_If_A_Ig_An_J_J_J_A_N_Ay_J_A_060_Ae_A_P_A2_A_L_Ae_A_P_A2_096) % 234.89/37.85 $i(c_Int_OPls) & $i(v_y____) & $i(v_x____) & $i(v_n____) & $i(v_e____) & % 234.89/37.85 $i(tc_RealDef_Oreal) & $i(v_ga____) & $i(v_f____) & ? [v0: $i] : ? [v1: $i] % 234.89/37.85 : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? % 234.89/37.85 [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: % 234.89/37.85 $i] : ? [v13: $i] : ? [v14: $i] : (c_Int_OBit1(c_Int_OPls) = v10 & % 234.89/37.85 c_Int_OBit0(v10) = v11 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, % 234.89/37.85 v11) = v12 & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, % 234.89/37.85 v12) = v13 & c_Complex_ORe(v2) = v3 & c_Complex_OIm(v2) = v6 & % 234.89/37.85 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v7) = v8 & % 234.89/37.85 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v4) = v5 & % 234.89/37.85 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v13, v13) = v14 & % 234.89/37.85 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v8) = v9 & % 234.89/37.85 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v6, v_y____) = v7 & % 234.89/37.85 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v3, v_x____) = v4 & v_s(v1) % 234.89/37.85 = v2 & hAPP(v_ga____, v_n____) = v0 & hAPP(v_f____, v0) = v1 & $i(v14) & % 234.89/37.85 $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & % 234.89/37.85 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & % 234.89/37.85 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9, v14)) % 234.89/37.85 % 234.89/37.85 (fact__096cmod_A_Is_A0_J_A_060_061_Ar_096) % 234.89/37.85 $i(v_r) & $i(tc_Complex_Ocomplex) & $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & % 234.89/37.85 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (v_s(v0) = v1 & % 234.89/37.85 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v2 & % 234.89/37.85 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v2) & $i(v1) & $i(v0) & % 234.89/37.85 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v_r)) % 234.89/37.85 % 234.89/37.85 (fact__096cmod_A_Is_A_If_A_Ig_An_J_J_A_N_AComplex_Ax_Ay_J_060_061_Aabs_A_IRe_A_Is_A_If_A_Ig_An_J_J_J_A_N_ARe_A_IComplex_Ax_Ay_J_J_A_L_Aabs_A_IIm_A_Is_A_If_A_Ig_An_J_J_J_A_N_AIm_A_IComplex_Ax_Ay_J_J_096) % 234.95/37.86 $i(v_y____) & $i(v_x____) & $i(v_n____) & $i(tc_Complex_Ocomplex) & % 234.95/37.86 $i(tc_RealDef_Oreal) & $i(v_ga____) & $i(v_f____) & ? [v0: $i] : ? [v1: $i] % 234.95/37.86 : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? % 234.95/37.86 [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: % 234.95/37.86 $i] : ? [v13: $i] : ? [v14: $i] : (c_Complex_ORe(v3) = v7 & % 234.95/37.86 c_Complex_ORe(v2) = v6 & c_Complex_OIm(v3) = v11 & c_Complex_OIm(v2) = v10 & % 234.95/37.86 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v12) = v13 & % 234.95/37.86 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v8) = v9 & % 234.95/37.86 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v9, v13) = v14 & % 234.95/37.86 c_Complex_Ocomplex_OComplex(v_x____, v_y____) = v3 & % 234.95/37.86 c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v2, v3) = v4 & % 234.95/37.86 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v10, v11) = v12 & % 234.95/37.86 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v6, v7) = v8 & v_s(v1) = v2 % 234.95/37.86 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5 & % 234.95/37.86 hAPP(v_ga____, v_n____) = v0 & hAPP(v_f____, v0) = v1 & $i(v14) & $i(v13) & % 234.95/37.86 $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & % 234.95/37.86 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & % 234.95/37.86 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v14)) % 234.95/37.86 % 234.95/37.86 (fact_abs__Im__le__cmod) % 234.95/37.86 $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ! [v0: $i] : ! [v1: $i] : ( % 234.95/37.86 ~ (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v0) = v1) | ~ % 234.95/37.86 $i(v0) | ? [v2: $i] : ? [v3: $i] : (c_Complex_OIm(v0) = v2 & % 234.95/37.86 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v2) = v3 & $i(v3) & $i(v2) & % 234.95/37.86 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v1))) % 234.95/37.86 % 234.95/37.86 (fact_abs__Re__le__cmod) % 234.95/37.86 $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ! [v0: $i] : ! [v1: $i] : ( % 234.95/37.86 ~ (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v0) = v1) | ~ % 234.95/37.86 $i(v0) | ? [v2: $i] : ? [v3: $i] : (c_Complex_ORe(v0) = v2 & % 234.95/37.86 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v2) = v3 & $i(v3) & $i(v2) & % 234.95/37.86 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v1))) % 234.95/37.86 % 234.95/37.86 (fact_abs__power2) % 234.95/37.86 $i(c_Int_OPls) & $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 234.95/37.86 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 & % 234.95/37.86 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) & % 234.95/37.86 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v6 = v5 | % 234.95/37.86 ~ (c_Power_Opower__class_Opower(v4, v3, v2) = v5) | ~ % 234.95/37.86 (c_Groups_Oabs__class_Oabs(v4, v5) = v6) | ~ $i(v4) | ~ $i(v3) | ~ % 234.95/37.86 class_Rings_Olinordered__idom(v4))) % 234.95/37.86 % 234.95/37.86 (fact_abs__zmult__eq__1) % 234.95/37.86 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & % 234.95/37.86 $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 234.95/37.86 (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v2, v1) = v3) | ~ $i(v2) | ~ % 234.95/37.86 $i(v1) | ? [v4: $i] : ? [v5: $i] : ((v5 = v0 & % 234.95/37.86 c_Groups_Oabs__class_Oabs(tc_Int_Oint, v2) = v0) | ( ~ (v4 = v0) & % 234.95/37.86 c_Groups_Oabs__class_Oabs(tc_Int_Oint, v3) = v4 & $i(v4))))) % 234.95/37.86 % 234.95/37.86 (fact_add1__zle__eq) % 234.95/37.87 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & % 234.95/37.87 $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 234.95/37.87 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v0) = v3) | ~ $i(v2) | ~ % 234.95/37.87 $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, v1) | % 234.95/37.87 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1)) & ! [v1: $i] : ! % 234.95/37.87 [v2: $i] : ! [v3: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, % 234.95/37.87 v0) = v3) | ~ $i(v2) | ~ $i(v1) | ~ % 234.95/37.87 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) | % 234.95/37.87 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, v1))) % 234.95/37.87 % 234.95/37.87 (fact_add__eq__self__zero) % 234.95/37.87 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 % 234.95/37.87 & $i(v0) & ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 234.95/37.87 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v2) | ~ $i(v2) | ~ % 234.95/37.87 $i(v1))) % 234.95/37.87 % 234.95/37.87 (fact_add__gr__0) % 234.95/37.87 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 % 234.95/37.87 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 234.95/37.87 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ~ $i(v2) | ~ % 234.95/37.87 $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) | % 234.95/37.87 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) | % 234.95/37.87 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1)) & ! [v1: $i] : ! % 234.95/37.87 [v2: $i] : ! [v3: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, % 234.95/37.87 v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ % 234.95/37.87 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) | % 234.95/37.87 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3)) & ! [v1: $i] : ! % 234.95/37.87 [v2: $i] : ! [v3: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, % 234.95/37.87 v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ % 234.95/37.87 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) | % 234.95/37.87 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3))) % 234.95/37.87 % 234.95/37.87 (fact_add__is__0) % 234.95/37.87 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 % 234.95/37.87 & $i(v0) & ! [v1: $i] : ! [v2: $i] : (v2 = v0 | ~ % 234.95/37.87 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v0) | ~ $i(v2) | ~ % 234.95/37.87 $i(v1)) & ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 234.95/37.87 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v0) | ~ $i(v2) | ~ % 234.95/37.87 $i(v1)) & ! [v1: $i] : (v1 = v0 | ~ % 234.95/37.87 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v0) = v1))) % 234.95/37.87 % 234.95/37.87 (fact_add__self__div__2) % 234.95/37.87 $i(c_Int_OPls) & $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 234.95/37.87 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 & % 234.95/37.87 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) & % 234.95/37.87 $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~ % 234.95/37.87 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v3) = v4) | ~ $i(v3) | % 234.95/37.87 c_Divides_Odiv__class_Odiv(tc_Nat_Onat, v4, v2) = v3)) % 234.95/37.87 % 234.95/37.87 (fact_add__special_I2_J) % 234.95/37.87 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 % 234.95/37.87 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 234.95/37.87 (c_Int_Onumber__class_Onumber__of(v2, v3) = v4) | ~ % 234.95/37.87 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v1) = v3) | ~ $i(v2) | ~ % 234.95/37.87 $i(v1) | ~ class_Int_Onumber__ring(v2) | ? [v5: $i] : ? [v6: $i] : % 234.95/37.87 (c_Int_Onumber__class_Onumber__of(v2, v1) = v6 & % 234.95/37.87 c_Groups_Oone__class_Oone(v2) = v5 & c_Groups_Oplus__class_Oplus(v2, v5, % 234.95/37.87 v6) = v4 & $i(v6) & $i(v5) & $i(v4)))) % 234.95/37.87 % 234.95/37.87 (fact_add__special_I3_J) % 234.95/37.88 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 % 234.95/37.88 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 234.95/37.88 (c_Int_Onumber__class_Onumber__of(v2, v3) = v4) | ~ % 234.95/37.88 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v3) | ~ $i(v2) | ~ % 234.95/37.88 $i(v1) | ~ class_Int_Onumber__ring(v2) | ? [v5: $i] : ? [v6: $i] : % 234.95/37.88 (c_Int_Onumber__class_Onumber__of(v2, v1) = v5 & % 234.95/37.88 c_Groups_Oone__class_Oone(v2) = v6 & c_Groups_Oplus__class_Oplus(v2, v5, % 234.95/37.88 v6) = v4 & $i(v6) & $i(v5) & $i(v4)))) % 234.95/37.88 % 234.95/37.88 (fact_bin__less__0__simps_I1_J) % 234.95/37.88 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : % 234.95/37.88 (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) & ~ % 234.95/37.88 c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0)) % 234.95/37.88 % 234.95/37.88 (fact_bin__less__0__simps_I3_J) % 234.95/37.88 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 % 234.95/37.88 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (c_Int_OBit0(v1) = v2) | ~ % 234.95/37.88 $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0) | % 234.95/37.88 c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0)) & ! [v1: $i] : ! % 234.95/37.88 [v2: $i] : ( ~ (c_Int_OBit0(v1) = v2) | ~ $i(v1) | ~ % 234.95/37.88 c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | % 234.95/37.88 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0))) % 234.95/37.88 % 234.95/37.88 (fact_bin__less__0__simps_I4_J) % 234.95/37.88 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 % 234.95/37.88 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (c_Int_OBit1(v1) = v2) | ~ % 234.95/37.88 $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0) | % 234.95/37.88 c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0)) & ! [v1: $i] : ! % 234.95/37.88 [v2: $i] : ( ~ (c_Int_OBit1(v1) = v2) | ~ $i(v1) | ~ % 234.95/37.88 c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | % 234.95/37.88 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0))) % 234.95/37.88 % 234.95/37.88 (fact_cmod__def) % 234.95/37.88 $i(c_Int_OPls) & $i(tc_Complex_Ocomplex) & $i(tc_Nat_Onat) & % 234.95/37.88 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 234.95/37.88 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 & % 234.95/37.88 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) & % 234.95/37.88 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] % 234.95/37.88 : ! [v8: $i] : ( ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v6, v2) % 234.95/37.88 = v7) | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v2) = v5) % 234.95/37.88 | ~ (c_Complex_ORe(v3) = v4) | ~ (c_Complex_OIm(v3) = v6) | ~ % 234.95/37.88 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v7) = v8) | ~ $i(v3) | % 234.95/37.88 ? [v9: $i] : (c_NthRoot_Osqrt(v8) = v9 & % 234.95/37.88 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v9 & % 234.95/37.88 $i(v9)))) % 234.95/37.88 % 234.95/37.88 (fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) % 234.95/37.88 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 234.95/37.88 (c_Groups_Oplus__class_Oplus(v2, v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ % 234.95/37.88 $i(v0) | ~ class_Rings_Ocomm__semiring__1(v2) | % 234.95/37.88 (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3 & $i(v3))) % 234.95/37.88 % 234.95/37.88 (fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J) % 234.95/37.88 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 % 234.95/37.88 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 234.95/37.88 (c_Power_Opower__class_Opower(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) | % 234.95/37.88 ~ class_Rings_Ocomm__semiring__1(v2) | (c_Groups_Oone__class_Oone(v2) = v3 % 234.95/37.88 & $i(v3)))) % 234.95/37.88 % 234.95/37.88 (fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J) % 234.95/37.88 $i(c_Int_OPls) & $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 234.95/37.88 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 & % 234.95/37.88 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) & % 234.95/37.88 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] % 234.95/37.88 : ( ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v3) = v6) | ~ % 234.95/37.88 (c_Power_Opower__class_Opower(v5, v4, v6) = v7) | ~ $i(v5) | ~ $i(v4) | % 234.95/37.88 ~ $i(v3) | ~ class_Rings_Ocomm__semiring__1(v5) | ? [v8: $i] : % 234.95/37.88 (c_Groups_Otimes__class_Otimes(v5, v8, v8) = v7 & % 234.95/37.88 c_Power_Opower__class_Opower(v5, v4, v3) = v8 & $i(v8) & $i(v7)))) % 234.95/37.88 % 234.95/37.88 (fact_complex_Osize_I1_J) % 234.95/37.89 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 % 234.95/37.89 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 234.95/37.89 (c_Complex_Ocomplex_OComplex(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) | % 234.95/37.89 c_Complex_Ocomplex_Ocomplex__size(v3) = v0)) % 234.95/37.89 % 234.95/37.89 (fact_complex_Osize_I2_J) % 234.95/37.89 $i(tc_Complex_Ocomplex) & $i(tc_Nat_Onat) & ? [v0: $i] : % 234.95/37.89 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) & ! [v1: $i] : ! % 234.95/37.89 [v2: $i] : ! [v3: $i] : ( ~ (c_Complex_Ocomplex_OComplex(v2, v1) = v3) | ~ % 234.95/37.89 $i(v2) | ~ $i(v1) | c_Nat_Osize__class_Osize(tc_Complex_Ocomplex, v3) = % 234.95/37.89 v0)) % 234.95/37.89 % 234.95/37.89 (fact_complex__Re__le__cmod) % 234.95/37.89 $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ! [v0: $i] : ! [v1: $i] : ( % 234.95/37.89 ~ (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v0) = v1) | ~ % 234.95/37.89 $i(v0) | ? [v2: $i] : (c_Complex_ORe(v0) = v2 & $i(v2) & % 234.95/37.89 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1))) % 234.95/37.89 % 234.95/37.89 (fact_complex__norm) % 234.95/37.89 $i(c_Int_OPls) & $i(tc_Complex_Ocomplex) & $i(tc_Nat_Onat) & % 234.95/37.89 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 234.95/37.89 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 & % 234.95/37.89 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) & % 234.95/37.89 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] % 234.95/37.89 : ( ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v2) = v5) | ~ % 234.95/37.89 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v3, v2) = v6) | ~ % 234.95/37.89 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v6) = v7) | ~ $i(v4) | % 234.95/37.89 ~ $i(v3) | ? [v8: $i] : ? [v9: $i] : (c_NthRoot_Osqrt(v7) = v9 & % 234.95/37.89 c_Complex_Ocomplex_OComplex(v4, v3) = v8 & % 234.95/37.89 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v8) = v9 & $i(v9) & % 234.95/37.89 $i(v8)))) % 234.95/37.89 % 234.95/37.89 (fact_cos__x__y__le__one) % 234.95/37.89 $i(c_Int_OPls) & $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? % 234.95/37.89 [v1: $i] : ? [v2: $i] : ? [v3: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & % 234.95/37.89 c_Int_OBit0(v0) = v1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = % 234.95/37.89 v2 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v3 & $i(v3) & $i(v2) & % 234.95/37.89 $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! % 234.95/37.89 [v8: $i] : ! [v9: $i] : ! [v10: $i] : ( ~ (c_NthRoot_Osqrt(v8) = v9) | ~ % 234.95/37.89 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v2) = v6) | ~ % 234.95/37.89 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v2) = v7) | ~ % 234.95/37.89 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v9) = v10) | ~ % 234.95/37.89 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v6, v7) = v8) | ~ $i(v5) | % 234.95/37.89 ~ $i(v4) | ? [v11: $i] : (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, % 234.95/37.89 v10) = v11 & $i(v11) & % 234.95/37.89 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v11, v3)))) % 234.95/37.89 % 234.95/37.89 (fact_csqrt) % 234.95/37.89 $i(c_Int_OPls) & $i(tc_Complex_Ocomplex) & $i(tc_Nat_Onat) & ? [v0: $i] : ? % 234.95/37.89 [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 % 234.95/37.89 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) & % 234.95/37.89 $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~ % 234.95/37.89 (c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt(v3) = v4) | ~ $i(v3) | % 234.95/37.89 c_Power_Opower__class_Opower(tc_Complex_Ocomplex, v4, v2) = v3)) % 234.95/37.89 % 234.95/37.89 (fact_diff__0__eq__0) % 234.95/37.89 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 % 234.95/37.89 & $i(v0) & ! [v1: $i] : ! [v2: $i] : (v2 = v0 | ~ % 234.95/37.89 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v1) = v2) | ~ $i(v1))) % 234.95/37.89 % 234.95/37.89 (fact_diff__add__0) % 234.95/37.89 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 % 234.95/37.89 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v0 % 234.95/37.89 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ~ % 234.95/37.89 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v3) = v4) | ~ $i(v2) | ~ % 234.95/37.89 $i(v1))) % 234.95/37.89 % 234.95/37.89 (fact_diff__is__0__eq) % 234.95/37.90 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 % 234.95/37.90 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~ % 234.95/37.90 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v3) | ~ $i(v2) | ~ % 234.95/37.90 $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1)) & ! % 234.95/37.90 [v1: $i] : ! [v2: $i] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, % 234.95/37.90 v1) = v0) | ~ $i(v2) | ~ $i(v1) | % 234.95/37.90 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1))) % 234.95/37.90 % 234.95/37.90 (fact_diff__is__0__eq_H) % 234.95/37.90 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 % 234.95/37.90 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~ % 234.95/37.90 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v3) | ~ $i(v2) | ~ % 234.95/37.90 $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1))) % 234.95/37.90 % 234.95/37.90 (fact_diff__less) % 234.95/37.90 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 % 234.95/37.90 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 234.95/37.90 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v2) = v3) | ~ $i(v2) | ~ % 234.95/37.90 $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) | ~ % 234.95/37.90 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) | % 234.95/37.90 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v1))) % 234.95/37.90 % 234.95/37.90 (fact_diff__self__eq__0) % 234.95/37.90 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 % 234.95/37.90 & $i(v0) & ! [v1: $i] : ! [v2: $i] : (v2 = v0 | ~ % 234.95/37.90 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v1) = v2) | ~ $i(v1))) % 234.95/37.90 % 234.95/37.90 (fact_diffs0__imp__equal) % 234.95/37.90 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 % 234.95/37.90 & $i(v0) & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~ % 234.95/37.90 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v2) = v0) | ~ $i(v2) | ~ % 234.95/37.90 $i(v1) | ? [v3: $i] : ( ~ (v3 = v0) & % 234.95/37.90 c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v3 & $i(v3)))) % 234.95/37.90 % 234.95/37.90 (fact_div__2__gt__zero) % 234.95/37.90 $i(c_Int_OPls) & $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 234.95/37.90 ? [v3: $i] : ? [v4: $i] : (c_Int_OBit1(c_Int_OPls) = v2 & c_Int_OBit0(v2) = % 234.95/37.90 v3 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v3) = v4 & % 234.95/37.90 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & % 234.95/37.90 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 & $i(v4) & $i(v3) & $i(v2) & % 234.95/37.90 $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : ( ~ % 234.95/37.90 (c_Divides_Odiv__class_Odiv(tc_Nat_Onat, v5, v4) = v6) | ~ $i(v5) | ~ % 234.95/37.90 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v5) | % 234.95/37.90 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v6))) % 234.95/37.90 % 234.95/37.90 (fact_div__le__mono2) % 234.95/37.90 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 % 234.95/37.90 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 234.95/37.90 $i] : ( ~ (c_Divides_Odiv__class_Odiv(tc_Nat_Onat, v1, v3) = v5) | ~ % 234.95/37.90 (c_Divides_Odiv__class_Odiv(tc_Nat_Onat, v1, v2) = v4) | ~ $i(v3) | ~ % 234.95/37.90 $i(v2) | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, % 234.95/37.90 v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) | % 234.95/37.90 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5))) % 234.95/37.90 % 234.95/37.90 (fact_div__less) % 234.95/37.90 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 % 234.95/37.90 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~ % 234.95/37.90 (c_Divides_Odiv__class_Odiv(tc_Nat_Onat, v2, v1) = v3) | ~ $i(v2) | ~ % 234.95/37.90 $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1))) % 234.95/37.90 % 234.95/37.90 (fact_div__less__dividend) % 234.95/37.90 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : % 234.95/37.90 (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & % 234.95/37.90 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 & $i(v1) & $i(v0) & ! [v2: % 234.95/37.90 $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 234.95/37.90 (c_Divides_Odiv__class_Odiv(tc_Nat_Onat, v2, v3) = v4) | ~ $i(v3) | ~ % 234.95/37.90 $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2) | ~ % 234.95/37.90 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) | % 234.95/37.90 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v2))) % 234.95/37.90 % 234.95/37.90 (fact_div__neg__neg__trivial) % 234.95/37.91 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 % 234.95/37.91 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~ % 234.95/37.91 (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v2, v1) = v3) | ~ $i(v2) | ~ % 234.95/37.91 $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v0) | ~ % 234.95/37.91 c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2))) % 234.95/37.91 % 234.95/37.91 (fact_div__neg__pos__less0) % 234.95/37.91 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 % 234.95/37.91 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 234.95/37.91 (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v2, v1) = v3) | ~ $i(v2) | ~ % 234.95/37.91 $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0) | ~ % 234.95/37.91 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1) | % 234.95/37.91 c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v0))) % 234.95/37.91 % 234.95/37.91 (fact_div__nonneg__neg__le0) % 234.95/37.91 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 % 234.95/37.91 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 234.95/37.91 (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v2, v1) = v3) | ~ $i(v2) | ~ % 234.95/37.91 $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) | ~ % 234.95/37.91 c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | % 234.95/37.91 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, v0))) % 234.95/37.91 % 234.95/37.91 (fact_div__nonpos__pos__le0) % 235.22/37.91 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 % 235.22/37.91 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.22/37.91 (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v2, v1) = v3) | ~ $i(v2) | ~ % 235.22/37.91 $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v0) | ~ % 235.22/37.91 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1) | % 235.22/37.91 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, v0))) % 235.22/37.91 % 235.22/37.91 (fact_div__pos__pos__trivial) % 235.22/37.91 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 % 235.22/37.91 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~ % 235.22/37.91 (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v2, v1) = v3) | ~ $i(v2) | ~ % 235.22/37.91 $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) | ~ % 235.22/37.91 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1))) % 235.22/37.91 % 235.22/37.91 (fact_divide_Oadd) % 235.22/37.91 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 235.22/37.91 $i] : ! [v6: $i] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v2, v0) = v4) | % 235.22/37.91 ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v0) = v5) | ~ % 235.22/37.91 (c_Groups_Oplus__class_Oplus(v3, v4, v5) = v6) | ~ $i(v3) | ~ $i(v2) | ~ % 235.22/37.91 $i(v1) | ~ $i(v0) | ~ class_RealVector_Oreal__normed__field(v3) | ? [v7: % 235.22/37.91 $i] : (c_Rings_Oinverse__class_Odivide(v3, v7, v0) = v6 & % 235.22/37.91 c_Groups_Oplus__class_Oplus(v3, v2, v1) = v7 & $i(v7) & $i(v6))) % 235.22/37.91 % 235.22/37.91 (fact_divide__Numeral1) % 235.22/37.91 $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! % 235.22/37.91 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v1 | ~ % 235.22/37.91 (c_Int_Onumber__class_Onumber__of(v2, v0) = v3) | ~ % 235.22/37.91 (c_Rings_Oinverse__class_Odivide(v2, v1, v3) = v4) | ~ $i(v2) | ~ $i(v1) % 235.22/37.91 | ~ class_Fields_Ofield(v2) | ~ class_Int_Onumber__ring(v2))) % 235.22/37.91 % 235.22/37.91 (fact_divide__numeral__1) % 235.22/37.91 $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! % 235.22/37.91 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v1 | ~ % 235.22/37.91 (c_Int_Onumber__class_Onumber__of(v2, v0) = v3) | ~ % 235.22/37.91 (c_Rings_Oinverse__class_Odivide(v2, v1, v3) = v4) | ~ $i(v2) | ~ $i(v1) % 235.22/37.91 | ~ class_Fields_Ofield(v2) | ~ class_Int_Onumber__ring(v2))) % 235.22/37.91 % 235.22/37.91 (fact_e2) % 235.22/37.91 $i(c_Int_OPls) & $i(v_e____) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: % 235.22/37.91 $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : (c_Int_OBit1(c_Int_OPls) = % 235.22/37.91 v1 & c_Int_OBit0(v1) = v2 & % 235.22/37.91 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 & % 235.22/37.91 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, v3) = v4 & % 235.22/37.91 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v4) & $i(v3) & % 235.22/37.91 $i(v2) & $i(v1) & $i(v0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, % 235.22/37.91 v0, v4)) % 235.22/37.91 % 235.22/37.92 (fact_eq__0__number__of) % 235.22/37.92 $i(tc_Int_Oint) & $i(c_Int_OPls) & $i(tc_Nat_Onat) & ? [v0: $i] : % 235.22/37.92 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) & ! [v1: $i] : ! % 235.22/37.92 [v2: $i] : (v2 = v0 | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) % 235.22/37.92 = v2) | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, % 235.22/37.92 v1, c_Int_OPls)) & ! [v1: $i] : ( ~ % 235.22/37.92 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v0) | ~ $i(v1) | % 235.22/37.92 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, c_Int_OPls))) % 235.22/37.92 % 235.22/37.92 (fact_eq__nat__number__of) % 235.22/37.92 $i(tc_Int_Oint) & $i(tc_Nat_Onat) & ? [v0: $i] : % 235.22/37.92 (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) & ! [v1: $i] : ! % 235.22/37.92 [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v3 = v0 | ~ % 235.22/37.92 (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3) | ~ % 235.22/37.92 (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v4) | ~ $i(v2) | ~ % 235.22/37.92 $i(v1) | ~ c_Nat__Numeral_Oneg(v4) | c_Nat__Numeral_Oneg(v3) | ? [v5: % 235.22/37.92 $i] : ? [v6: $i] : ( ~ (v6 = v5) & % 235.22/37.92 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v5 & % 235.22/37.92 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v6 & $i(v6) & % 235.22/37.92 $i(v5))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v2 = % 235.22/37.92 v1 | ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3) | ~ % 235.22/37.92 (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v4) | ~ $i(v2) | ~ % 235.22/37.92 $i(v1) | c_Nat__Numeral_Oneg(v4) | c_Nat__Numeral_Oneg(v3) | ? [v5: $i] : % 235.22/37.92 ? [v6: $i] : ( ~ (v6 = v5) & % 235.22/37.92 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v5 & % 235.22/37.92 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v6 & $i(v6) & % 235.22/37.92 $i(v5))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 235.22/37.92 (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3) | ~ % 235.22/37.92 (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v4) | ~ $i(v2) | ~ % 235.22/37.92 $i(v1) | ~ c_Nat__Numeral_Oneg(v3) | ~ % 235.22/37.92 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v4, v0) | ? [v5: $i] : % 235.22/37.92 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v5 & % 235.22/37.92 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v5 & $i(v5))) & ! % 235.22/37.92 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 235.22/37.92 (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3) | ~ % 235.22/37.92 (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v4) | ~ $i(v2) | ~ % 235.22/37.92 $i(v1) | ~ c_Nat__Numeral_Oneg(v3) | % 235.22/37.92 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v4, v0) | ? [v5: $i] : ? % 235.22/37.92 [v6: $i] : ( ~ (v6 = v5) & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 235.22/37.92 v2) = v5 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v6 & % 235.22/37.92 $i(v6) & $i(v5))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.22/37.92 (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v0) | ~ % 235.22/37.92 (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v3) | ~ $i(v2) | ~ % 235.22/37.92 $i(v1) | ~ c_Nat__Numeral_Oneg(v3) | ~ % 235.22/37.92 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, v0) | ? [v4: $i] : % 235.22/37.92 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v4 & % 235.22/37.92 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v4 & $i(v4))) & ! % 235.22/37.92 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.22/37.92 (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v0) | ~ % 235.22/37.92 (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v3) | ~ $i(v2) | ~ % 235.22/37.92 $i(v1) | ~ c_Nat__Numeral_Oneg(v3) | c_Nat__Numeral_Oneg(v0) | ? [v4: % 235.22/37.92 $i] : (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v4 & % 235.22/37.92 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v4 & $i(v4))) & ! % 235.22/37.92 [v1: $i] : ! [v2: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, % 235.22/37.92 v1) = v2) | ~ $i(v1) | ~ % 235.22/37.92 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v0) | % 235.22/37.92 c_Nat__Numeral_Oneg(v2) | ? [v3: $i] : % 235.22/37.92 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v3 & $i(v3))) & ! % 235.22/37.92 [v1: $i] : ! [v2: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, % 235.22/37.92 v1) = v2) | ~ $i(v1) | c_Nat__Numeral_Oneg(v2) | ? [v3: $i] : % 235.22/37.92 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v3 & $i(v3))) & ! % 235.22/37.92 [v1: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v0) | ~ % 235.22/37.92 $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v0) | ? % 235.22/37.92 [v2: $i] : (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & % 235.22/37.92 $i(v2))) & ! [v1: $i] : ( ~ % 235.22/37.92 (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v0) | ~ $i(v1) | % 235.22/37.92 c_Nat__Numeral_Oneg(v0) | ? [v2: $i] : % 235.22/37.92 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2)))) % 235.22/37.92 % 235.22/37.92 (fact_eq__number__of__0) % 235.22/37.93 $i(tc_Int_Oint) & $i(c_Int_OPls) & $i(tc_Nat_Onat) & ? [v0: $i] : % 235.22/37.93 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) & ! [v1: $i] : ! % 235.22/37.93 [v2: $i] : (v2 = v0 | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) % 235.22/37.93 = v2) | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, % 235.22/37.93 v1, c_Int_OPls)) & ! [v1: $i] : ( ~ % 235.22/37.93 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v0) | ~ $i(v1) | % 235.22/37.93 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, c_Int_OPls))) % 235.22/37.93 % 235.22/37.93 (fact_gr0I) % 235.22/37.93 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 % 235.22/37.93 & $i(v0) & ? [v1: $i] : (v1 = v0 | ~ $i(v1) | % 235.22/37.93 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1))) % 235.22/37.93 % 235.22/37.93 (fact_gr__implies__not0) % 235.22/37.93 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 % 235.22/37.93 & $i(v0) & ! [v1: $i] : ( ~ $i(v1) | ~ % 235.22/37.93 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0))) % 235.22/37.93 % 235.22/37.93 (fact_half) % 235.22/37.93 $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & % 235.22/37.93 c_Int_OBit0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: % 235.22/37.93 $i] : ! [v5: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v2, v1) = v4) | % 235.22/37.93 ~ (c_Rings_Oinverse__class_Odivide(v2, v3, v4) = v5) | ~ % 235.22/37.93 (c_Groups_Oone__class_Oone(v2) = v3) | ~ $i(v2) | ~ % 235.22/37.93 class_Int_Onumber__ring(v2) | ~ % 235.22/37.93 class_Fields_Olinordered__field__inverse__zero(v2) | ? [v6: $i] : % 235.22/37.93 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & % 235.22/37.93 c_Orderings_Oord__class_Oless(v2, v6, v5)))) % 235.22/37.93 % 235.22/37.93 (fact_half__gt__zero) % 235.22/37.93 $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & % 235.22/37.93 c_Int_OBit0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: % 235.22/37.93 $i] : ! [v5: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v3, v1) = v4) | % 235.22/37.93 ~ (c_Rings_Oinverse__class_Odivide(v3, v2, v4) = v5) | ~ $i(v3) | ~ % 235.22/37.93 $i(v2) | ~ class_Int_Onumber__ring(v3) | ~ % 235.22/37.93 class_Fields_Olinordered__field__inverse__zero(v3) | ? [v6: $i] : % 235.22/37.93 (c_Groups_Ozero__class_Ozero(v3) = v6 & $i(v6) & ( ~ % 235.22/37.93 c_Orderings_Oord__class_Oless(v3, v6, v2) | % 235.22/37.93 c_Orderings_Oord__class_Oless(v3, v6, v5))))) % 235.22/37.93 % 235.22/37.93 (fact_half__gt__zero__iff) % 235.22/37.93 $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & % 235.22/37.93 c_Int_OBit0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: % 235.22/37.93 $i] : ! [v5: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v3, v1) = v4) | % 235.22/37.93 ~ (c_Rings_Oinverse__class_Odivide(v3, v2, v4) = v5) | ~ $i(v3) | ~ % 235.22/37.93 $i(v2) | ~ class_Int_Onumber__ring(v3) | ~ % 235.22/37.93 class_Fields_Olinordered__field__inverse__zero(v3) | ? [v6: $i] : % 235.22/37.93 (c_Groups_Ozero__class_Ozero(v3) = v6 & $i(v6) & ( ~ % 235.22/37.93 c_Orderings_Oord__class_Oless(v3, v6, v5) | % 235.22/37.93 c_Orderings_Oord__class_Oless(v3, v6, v2)) & ( ~ % 235.22/37.93 c_Orderings_Oord__class_Oless(v3, v6, v2) | % 235.22/37.93 c_Orderings_Oord__class_Oless(v3, v6, v5))))) % 235.22/37.93 % 235.22/37.93 (fact_hs) % 235.22/37.93 $i(tc_Nat_Onat) & $i(v_ga____) & $i(v_f____) & ? [v0: $i] : % 235.22/37.93 (c_Fun_Ocomp(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat, v_f____, v_ga____) = v0 & % 235.22/37.93 $i(v0) & c_SEQ_Osubseq(v0)) % 235.22/37.93 % 235.22/37.93 (fact_int__0__less__1) % 235.22/37.93 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] : % 235.22/37.93 (c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 & % 235.22/37.93 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0) & % 235.22/37.93 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1)) % 235.22/37.93 % 235.22/37.93 (fact_int__0__neq__1) % 235.22/37.93 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) & % 235.22/37.93 c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 & % 235.22/37.93 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0)) % 235.22/37.93 % 235.22/37.93 (fact_int__div__less__self) % 235.22/37.94 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] : % 235.22/37.94 (c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 & % 235.22/37.94 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0) & ! [v2: % 235.22/37.94 $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 235.22/37.94 (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v3, v2) = v4) | ~ $i(v3) | ~ % 235.22/37.94 $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2) | ~ % 235.22/37.94 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3) | % 235.22/37.94 c_Orderings_Oord__class_Oless(tc_Int_Oint, v4, v3))) % 235.22/37.94 % 235.22/37.94 (fact_int__one__le__iff__zero__less) % 235.22/37.94 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] : % 235.22/37.94 (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & % 235.22/37.94 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v1 & $i(v1) & $i(v0) & ! [v2: % 235.22/37.94 $i] : ( ~ $i(v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, % 235.22/37.94 v2) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2)) & ! [v2: $i] % 235.22/37.94 : ( ~ $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2) | % 235.22/37.94 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2))) % 235.22/37.94 % 235.22/37.94 (fact_int__pos__lt__two__imp__zero__or__one) % 235.22/37.94 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 235.22/37.94 ? [v3: $i] : ? [v4: $i] : (c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = % 235.22/37.94 v2 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3 & % 235.22/37.94 c_Groups_Oone__class_Oone(tc_Int_Oint) = v4 & % 235.22/37.94 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v4) & $i(v3) & $i(v2) & % 235.22/37.94 $i(v1) & $i(v0) & ! [v5: $i] : (v5 = v4 | v5 = v0 | ~ $i(v5) | ~ % 235.22/37.94 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v5) | ~ % 235.22/37.94 c_Orderings_Oord__class_Oless(tc_Int_Oint, v5, v3))) % 235.22/37.94 % 235.22/37.94 (fact_le0) % 235.22/37.94 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 % 235.22/37.94 & $i(v0) & ? [v1: $i] : ( ~ $i(v1) | % 235.22/37.94 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v1))) % 235.22/37.94 % 235.22/37.94 (fact_le__0__eq) % 235.22/37.94 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 % 235.22/37.94 & $i(v0) & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v0) & ! [v1: % 235.22/37.94 $i] : (v1 = v0 | ~ $i(v1) | ~ % 235.22/37.94 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0))) % 235.22/37.94 % 235.22/37.94 (fact_le__imp__0__less) % 235.22/37.94 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] : % 235.22/37.94 (c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 & % 235.22/37.94 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0) & ! [v2: % 235.22/37.94 $i] : ! [v3: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v2) % 235.22/37.94 = v3) | ~ $i(v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, % 235.22/37.94 v0, v2) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3))) % 235.22/37.94 % 235.22/37.94 (fact_le__special_I1_J) % 235.22/37.94 $i(tc_Int_Oint) & $i(c_Int_OPls) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( % 235.22/37.94 ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | % 235.22/37.94 ~ class_Int_Onumber__ring(v1) | ~ class_Rings_Olinordered__idom(v1) | ? % 235.22/37.94 [v3: $i] : (( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, % 235.22/37.94 v0) | (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & % 235.22/37.94 c_Orderings_Oord__class_Oless__eq(v1, v3, v2))) & % 235.22/37.94 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0) | % 235.22/37.94 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ~ % 235.22/37.94 c_Orderings_Oord__class_Oless__eq(v1, v3, v2))))) % 235.22/37.94 % 235.22/37.94 (fact_le__special_I2_J) % 235.22/37.95 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 % 235.22/37.95 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.22/37.95 (c_Int_Onumber__class_Onumber__of(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) | % 235.22/37.95 ~ class_Int_Onumber__ring(v2) | ~ class_Rings_Olinordered__idom(v2) | ? % 235.22/37.95 [v4: $i] : (( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) | % 235.22/37.95 (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) & % 235.22/37.95 c_Orderings_Oord__class_Oless__eq(v2, v4, v3))) & % 235.22/37.95 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) | % 235.22/37.95 (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) & ~ % 235.22/37.95 c_Orderings_Oord__class_Oless__eq(v2, v4, v3)))))) % 235.22/37.95 % 235.22/37.95 (fact_le__special_I4_J) % 235.22/37.95 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 % 235.22/37.95 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.22/37.95 (c_Int_Onumber__class_Onumber__of(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) | % 235.22/37.95 ~ class_Int_Onumber__ring(v2) | ~ class_Rings_Olinordered__idom(v2) | ? % 235.22/37.95 [v4: $i] : (( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | % 235.22/37.95 (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) & % 235.22/37.95 c_Orderings_Oord__class_Oless__eq(v2, v3, v4))) & % 235.22/37.95 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | % 235.22/37.95 (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) & ~ % 235.22/37.95 c_Orderings_Oord__class_Oless__eq(v2, v3, v4)))))) % 235.22/37.95 % 235.22/37.95 (fact_lemma__real__divide__sqrt__less) % 235.22/37.95 $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 235.22/37.95 $i] : ? [v3: $i] : ? [v4: $i] : (c_NthRoot_Osqrt(v3) = v4 & % 235.22/37.95 c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 & % 235.22/37.95 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 & % 235.22/37.95 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v4) & $i(v3) & % 235.22/37.95 $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : ( ~ % 235.22/37.95 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v4) = v6) | ~ % 235.22/37.95 $i(v5) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v5) | % 235.22/37.95 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v5))) % 235.22/37.95 % 235.22/37.95 (fact_lemma__sqrt__hcomplex__capprox) % 235.43/37.95 $i(c_Int_OPls) & $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? % 235.43/37.95 [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : (c_Int_OBit1(c_Int_OPls) % 235.43/37.95 = v1 & c_Int_OBit0(v1) = v2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 235.43/37.95 v2) = v4 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 & % 235.43/37.95 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v4) & $i(v3) & % 235.43/37.95 $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: % 235.43/37.95 $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~ % 235.43/37.95 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v6, v4) = v9) | ~ % 235.43/37.95 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v4) = v10) | ~ % 235.43/37.95 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v7, v3) = v8) | ~ % 235.43/37.95 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v9, v10) = v11) | ~ $i(v7) % 235.43/37.95 | ~ $i(v6) | ~ $i(v5) | ~ % 235.43/37.95 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v6) | ~ % 235.43/37.95 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v5) | ~ % 235.43/37.95 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v8) | ~ % 235.43/37.95 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v8) | ~ % 235.43/37.95 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v7) | ? [v12: $i] : % 235.43/37.95 (c_NthRoot_Osqrt(v11) = v12 & $i(v12) & % 235.43/37.95 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12, v7)))) % 235.43/37.95 % 235.43/37.95 (fact_less__0__number__of) % 235.43/37.95 $i(tc_Int_Oint) & $i(c_Int_OPls) & $i(tc_Nat_Onat) & ? [v0: $i] : % 235.43/37.95 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) & ! [v1: $i] : ! % 235.43/37.95 [v2: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~ % 235.43/37.95 $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v1) | % 235.43/37.95 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2)) & ! [v1: $i] : ! % 235.43/37.95 [v2: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~ % 235.43/37.95 $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) | % 235.43/37.95 c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v1))) % 235.43/37.95 % 235.43/37.95 (fact_less__bin__lemma) % 235.43/37.95 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 % 235.43/37.95 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/37.95 (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v2, v1) = v3) | ~ $i(v2) | ~ % 235.43/37.95 $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v0) | % 235.43/37.95 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1)) & ! [v1: $i] : ! % 235.43/37.95 [v2: $i] : ! [v3: $i] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v2, % 235.43/37.95 v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ % 235.43/37.95 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) | % 235.43/37.95 c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v0))) % 235.43/37.95 % 235.43/37.95 (fact_less__eq__nat_Osimps_I1_J) % 235.43/37.96 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 % 235.43/37.96 & $i(v0) & ? [v1: $i] : ( ~ $i(v1) | % 235.43/37.96 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v1))) % 235.43/37.96 % 235.43/37.96 (fact_less__nat__number__of) % 235.43/37.96 $i(tc_Int_Oint) & $i(c_Int_OPls) & $i(tc_Nat_Onat) & ! [v0: $i] : ! [v1: $i] % 235.43/37.96 : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/37.96 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~ % 235.43/37.96 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v3) | ~ $i(v1) | ~ % 235.43/37.96 $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | ~ % 235.43/37.96 c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0) | % 235.43/37.96 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v3)) & ! [v0: $i] : ! [v1: % 235.43/37.96 $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/37.96 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~ % 235.43/37.96 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v3) | ~ $i(v1) | ~ % 235.43/37.96 $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | ~ % 235.43/37.96 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v3) | % 235.43/37.96 c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0)) & ! [v0: $i] : % 235.43/37.96 ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/37.96 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~ % 235.43/37.96 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v3) | ~ $i(v1) | ~ % 235.43/37.96 $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v3) | % 235.43/37.96 c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0)) % 235.43/37.96 % 235.43/37.96 (fact_less__nat__zero__code) % 235.43/37.96 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 % 235.43/37.96 & $i(v0) & ! [v1: $i] : ( ~ $i(v1) | ~ % 235.43/37.96 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0))) % 235.43/37.96 % 235.43/37.96 (fact_less__one__imp__sqr__less__one) % 235.43/37.96 $i(c_Int_OPls) & $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? % 235.43/37.96 [v1: $i] : ? [v2: $i] : ? [v3: $i] : (c_Int_OBit1(c_Int_OPls) = v1 & % 235.43/37.96 c_Int_OBit0(v1) = v2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = % 235.43/37.96 v3 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v3) & $i(v2) & % 235.43/37.96 $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ( ~ % 235.43/37.96 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v3) = v5) | ~ $i(v4) % 235.43/37.96 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v0) | ? [v6: $i] : % 235.43/37.96 (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v4) = v6 & $i(v6) & ~ % 235.43/37.96 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v0)))) % 235.43/37.96 % 235.43/37.96 (fact_less__special_I1_J) % 235.43/37.96 $i(tc_Int_Oint) & $i(c_Int_OPls) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( % 235.43/37.96 ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | % 235.43/37.96 ~ class_Int_Onumber__ring(v1) | ~ class_Rings_Olinordered__idom(v1) | ? % 235.43/37.96 [v3: $i] : (( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0) | % 235.43/37.96 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & % 235.43/37.96 c_Orderings_Oord__class_Oless(v1, v3, v2))) & % 235.43/37.96 (c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0) | % 235.43/37.96 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ~ % 235.43/37.96 c_Orderings_Oord__class_Oless(v1, v3, v2))))) % 235.43/37.96 % 235.43/37.96 (fact_less__special_I2_J) % 235.43/37.96 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 % 235.43/37.96 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/37.96 (c_Int_Onumber__class_Onumber__of(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) | % 235.43/37.96 ~ class_Int_Onumber__ring(v2) | ~ class_Rings_Olinordered__idom(v2) | ? % 235.43/37.96 [v4: $i] : (( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1) | % 235.43/37.96 (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) & % 235.43/37.96 c_Orderings_Oord__class_Oless(v2, v4, v3))) & % 235.43/37.96 (c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1) | % 235.43/37.96 (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) & ~ % 235.43/37.96 c_Orderings_Oord__class_Oless(v2, v4, v3)))))) % 235.43/37.96 % 235.43/37.96 (fact_less__special_I3_J) % 235.43/37.96 $i(tc_Int_Oint) & $i(c_Int_OPls) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( % 235.43/37.96 ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | % 235.43/37.96 ~ class_Int_Onumber__ring(v1) | ~ class_Rings_Olinordered__idom(v1) | ? % 235.43/37.96 [v3: $i] : (( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, c_Int_OPls) | % 235.43/37.96 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & % 235.43/37.96 c_Orderings_Oord__class_Oless(v1, v2, v3))) & % 235.43/37.96 (c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, c_Int_OPls) | % 235.43/37.96 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ~ % 235.43/37.96 c_Orderings_Oord__class_Oless(v1, v2, v3))))) % 235.43/37.96 % 235.43/37.96 (fact_less__special_I4_J) % 235.43/37.96 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 % 235.43/37.96 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/37.96 (c_Int_Onumber__class_Onumber__of(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) | % 235.43/37.96 ~ class_Int_Onumber__ring(v2) | ~ class_Rings_Olinordered__idom(v2) | ? % 235.43/37.96 [v4: $i] : (( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | % 235.43/37.96 (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) & % 235.43/37.96 c_Orderings_Oord__class_Oless(v2, v3, v4))) & % 235.43/37.96 (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | % 235.43/37.96 (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) & ~ % 235.43/37.96 c_Orderings_Oord__class_Oless(v2, v3, v4)))))) % 235.43/37.96 % 235.43/37.96 (fact_less__zeroE) % 235.43/37.96 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 % 235.43/37.96 & $i(v0) & ! [v1: $i] : ( ~ $i(v1) | ~ % 235.43/37.96 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0))) % 235.43/37.97 % 235.43/37.97 (fact_minus__nat_Odiff__0) % 235.43/37.97 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 % 235.43/37.97 & $i(v0) & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~ % 235.43/37.97 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v2) | ~ $i(v1))) % 235.43/37.97 % 235.43/37.97 (fact_nN1) % 235.43/37.97 $i(v_n____) & $i(v_N1____) & $i(tc_Nat_Onat) & $i(v_ga____) & ? [v0: $i] : % 235.43/37.97 (hAPP(v_ga____, v_n____) = v0 & $i(v0) & % 235.43/37.97 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v_N1____, v0)) % 235.43/37.97 % 235.43/37.97 (fact_nN2) % 235.43/37.97 $i(v_N2____) & $i(v_n____) & $i(tc_Nat_Onat) & % 235.43/37.97 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v_N2____, v_n____) % 235.43/37.97 % 235.43/37.97 (fact_nat__1__add__1) % 235.43/37.97 $i(c_Int_OPls) & $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 235.43/37.97 ? [v3: $i] : (c_Int_OBit1(c_Int_OPls) = v2 & c_Int_OBit0(v2) = v3 & % 235.43/37.97 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v3) = v1 & % 235.43/37.97 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & % 235.43/37.97 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v0) = v1 & $i(v3) & $i(v2) & % 235.43/37.97 $i(v1) & $i(v0)) % 235.43/37.97 % 235.43/37.97 (fact_nat__diff__split) % 235.43/37.97 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 % 235.43/37.97 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 235.43/37.97 $i] : ! [v6: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v6) % 235.43/37.97 = v2) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v4) | % 235.43/37.97 ~ (hAPP(v3, v4) = v5) | ~ $i(v6) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 235.43/37.97 hBOOL(v5) | ? [v7: $i] : (hAPP(v3, v6) = v7 & $i(v7) & hBOOL(v7))) & ! % 235.43/37.97 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ % 235.43/37.97 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v4) | ~ (hAPP(v3, % 235.43/37.97 v4) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ hBOOL(v5) | ~ % 235.43/37.97 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ? [v6: $i] : % 235.43/37.97 (hAPP(v3, v0) = v6 & $i(v6) & hBOOL(v6))) & ! [v1: $i] : ! [v2: $i] : ! % 235.43/37.97 [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ % 235.43/37.97 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v4) | ~ (hAPP(v3, % 235.43/37.97 v4) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | hBOOL(v5) | % 235.43/37.97 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ? [v6: $i] : ? [v7: % 235.43/37.97 $i] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v6) = v2 & hAPP(v3, % 235.43/37.97 v6) = v7 & $i(v7) & $i(v6) & ~ hBOOL(v7))) & ! [v1: $i] : ! [v2: % 235.43/37.97 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ % 235.43/37.97 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v4) | ~ (hAPP(v3, % 235.43/37.97 v4) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | hBOOL(v5) | ? [v6: % 235.43/37.97 $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ($i(v7) & ((v8 = v2 & % 235.43/37.97 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v7) = v2 & hAPP(v3, v7) % 235.43/37.97 = v9 & $i(v9) & ~ hBOOL(v9)) | (hAPP(v3, v0) = v6 & $i(v6) & ~ % 235.43/37.97 hBOOL(v6)))))) % 235.43/37.97 % 235.43/37.97 (fact_nat__diff__split__asm) % 235.43/37.97 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 % 235.43/37.97 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 235.43/37.97 $i] : ! [v6: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v6) % 235.43/37.97 = v2) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v4) | % 235.43/37.97 ~ (hAPP(v3, v4) = v5) | ~ $i(v6) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 235.43/37.97 hBOOL(v5) | ? [v7: $i] : (hAPP(v3, v6) = v7 & $i(v7) & hBOOL(v7))) & ! % 235.43/37.97 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ % 235.43/37.97 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v4) | ~ (hAPP(v3, % 235.43/37.97 v4) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ hBOOL(v5) | ~ % 235.43/37.97 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ? [v6: $i] : % 235.43/37.97 (hAPP(v3, v0) = v6 & $i(v6) & hBOOL(v6))) & ! [v1: $i] : ! [v2: $i] : ! % 235.43/37.97 [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ % 235.43/37.97 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v4) | ~ (hAPP(v3, % 235.43/37.97 v4) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | hBOOL(v5) | % 235.43/37.97 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ? [v6: $i] : ? [v7: % 235.43/37.97 $i] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v6) = v2 & hAPP(v3, % 235.43/37.97 v6) = v7 & $i(v7) & $i(v6) & ~ hBOOL(v7))) & ! [v1: $i] : ! [v2: % 235.43/37.97 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ % 235.43/37.97 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v4) | ~ (hAPP(v3, % 235.43/37.97 v4) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | hBOOL(v5) | ? [v6: % 235.43/37.97 $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ($i(v7) & ((v8 = v2 & % 235.43/37.97 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v7) = v2 & hAPP(v3, v7) % 235.43/37.97 = v9 & $i(v9) & ~ hBOOL(v9)) | (hAPP(v3, v0) = v6 & $i(v6) & ~ % 235.43/37.97 hBOOL(v6)))))) % 235.43/37.97 % 235.43/37.97 (fact_nat__number__of__Pls) % 235.43/37.97 $i(c_Int_OPls) & $i(tc_Nat_Onat) & ? [v0: $i] : % 235.43/37.97 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OPls) = v0 & % 235.43/37.97 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)) % 235.43/37.97 % 235.43/37.97 (fact_nat__number__of__diff__1) % 235.43/37.98 $i(tc_Int_Oint) & $i(c_Int_OPls) & $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] % 235.43/37.98 : (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & % 235.43/37.98 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 & $i(v1) & $i(v0) & ! [v2: % 235.43/37.98 $i] : ! [v3: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) % 235.43/37.98 = v3) | ~ $i(v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, % 235.43/37.98 v2, c_Int_OPls) | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v0) = % 235.43/37.98 v1) & ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/37.98 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3) | ~ $i(v2) | % 235.43/37.98 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, c_Int_OPls) | ? [v4: % 235.43/37.98 $i] : ? [v5: $i] : (c_Int_Opred(v2) = v5 & % 235.43/37.98 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v5) = v4 & % 235.43/37.98 c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v0) = v4 & $i(v5) & % 235.43/37.98 $i(v4)))) % 235.43/37.98 % 235.43/37.98 (fact_nat__numeral__1__eq__1) % 235.43/37.98 $i(c_Int_OPls) & $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : % 235.43/37.98 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 235.43/37.98 v0) = v1 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v1) & $i(v0)) % 235.43/37.98 % 235.43/37.98 (fact_nat__power__less__imp__less) % 235.43/37.98 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 % 235.43/37.98 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 235.43/37.98 $i] : ( ~ (c_Power_Opower__class_Opower(tc_Nat_Onat, v3, v2) = v4) | ~ % 235.43/37.98 (c_Power_Opower__class_Opower(tc_Nat_Onat, v3, v1) = v5) | ~ $i(v3) | ~ % 235.43/37.98 $i(v2) | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5) % 235.43/37.98 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) | % 235.43/37.98 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1))) % 235.43/37.98 % 235.43/37.98 (fact_nat__zero__less__power__iff) % 235.43/37.98 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 % 235.43/37.98 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 235.43/37.98 (c_Power_Opower__class_Opower(tc_Nat_Onat, v2, v1) = v3) | ~ $i(v2) | ~ % 235.43/37.98 $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) | % 235.43/37.98 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2)) & ! [v1: $i] : ! % 235.43/37.98 [v2: $i] : ! [v3: $i] : ( ~ (c_Power_Opower__class_Opower(tc_Nat_Onat, v2, % 235.43/37.98 v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ % 235.43/37.98 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) | % 235.43/37.98 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3)) & ! [v1: $i] : ! % 235.43/37.98 [v2: $i] : ( ~ (c_Power_Opower__class_Opower(tc_Nat_Onat, v1, v0) = v2) | ~ % 235.43/37.98 $i(v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2))) % 235.43/37.98 % 235.43/37.98 (fact_natceiling__neg) % 235.43/37.98 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : % 235.43/37.98 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 & % 235.43/37.98 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & ! % 235.43/37.98 [v2: $i] : ! [v3: $i] : (v3 = v1 | ~ (c_RComplete_Onatceiling(v2) = v3) | % 235.43/37.98 ~ $i(v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, % 235.43/37.98 v0))) % 235.43/37.98 % 235.43/37.98 (fact_natceiling__zero) % 235.43/37.98 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : % 235.43/37.98 (c_RComplete_Onatceiling(v0) = v1 & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = % 235.43/37.98 v1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)) % 235.43/37.98 % 235.43/37.98 (fact_natfloor__div__nat) % 235.43/37.98 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : % 235.43/37.98 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & % 235.43/37.98 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 & $i(v1) & $i(v0) & ! [v2: % 235.43/37.98 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ % 235.43/37.98 (c_RealDef_Oreal(tc_Nat_Onat, v2) = v4) | ~ % 235.43/37.98 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v3, v4) = v5) | ~ % 235.43/37.98 $i(v3) | ~ $i(v2) | ~ % 235.43/37.98 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) | ~ % 235.43/37.98 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2) | ? [v6: $i] : ? [v7: % 235.43/37.98 $i] : (c_Divides_Odiv__class_Odiv(tc_Nat_Onat, v7, v2) = v6 & % 235.43/37.98 c_RComplete_Onatfloor(v5) = v6 & c_RComplete_Onatfloor(v3) = v7 & $i(v7) % 235.43/37.98 & $i(v6)))) % 235.43/37.98 % 235.43/37.98 (fact_natfloor__neg) % 235.43/37.98 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : % 235.43/37.98 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 & % 235.43/37.98 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & ! % 235.43/37.98 [v2: $i] : ! [v3: $i] : (v3 = v1 | ~ (c_RComplete_Onatfloor(v2) = v3) | ~ % 235.43/37.98 $i(v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0))) % 235.43/37.98 % 235.43/37.98 (fact_natfloor__zero) % 235.43/37.98 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : % 235.43/37.98 (c_RComplete_Onatfloor(v0) = v1 & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = % 235.43/37.98 v1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)) % 235.43/37.98 % 235.43/37.98 (fact_neg__def) % 235.43/37.98 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 % 235.43/37.98 & $i(v0) & ! [v1: $i] : ( ~ $i(v1) | ~ c_Nat__Numeral_Oneg(v1) | % 235.43/37.98 c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0)) & ! [v1: $i] : ( ~ % 235.43/37.98 $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | % 235.43/37.98 c_Nat__Numeral_Oneg(v1))) % 235.43/37.98 % 235.43/37.98 (fact_neg__imp__number__of__eq__0) % 235.43/37.98 $i(tc_Int_Oint) & $i(tc_Nat_Onat) & ? [v0: $i] : % 235.43/37.98 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) & ! [v1: $i] : ! % 235.43/37.98 [v2: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v2) | ~ % 235.43/37.98 $i(v1) | ~ c_Nat__Numeral_Oneg(v2) | % 235.43/37.98 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v0)) % 235.43/37.98 % 235.43/37.98 (fact_neg__imp__zdiv__neg__iff) % 235.43/37.98 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 % 235.43/37.98 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/37.98 (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v1, v2) = v3) | ~ $i(v2) | ~ % 235.43/37.98 $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v0) | ~ % 235.43/37.98 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0) | % 235.43/37.98 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1)) & ! [v1: $i] : ! % 235.43/37.98 [v2: $i] : ! [v3: $i] : ( ~ (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v1, % 235.43/37.98 v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ % 235.43/37.98 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0) | ~ % 235.43/37.98 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1) | % 235.43/37.98 c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v0))) % 235.43/37.98 % 235.43/37.98 (fact_neg__imp__zdiv__nonneg__iff) % 235.43/37.98 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 % 235.43/37.98 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/37.98 (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v1, v2) = v3) | ~ $i(v2) | ~ % 235.43/37.98 $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | ~ % 235.43/37.98 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0) | % 235.43/37.98 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3)) & ! [v1: $i] : ! % 235.43/37.98 [v2: $i] : ! [v3: $i] : ( ~ (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v1, % 235.43/37.98 v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ % 235.43/37.98 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3) | ~ % 235.43/37.98 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0) | % 235.43/37.98 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0))) % 235.43/37.98 % 235.43/37.99 (fact_neg__number__of__Bit0) % 235.43/37.99 $i(tc_Int_Oint) & ! [v0: $i] : ! [v1: $i] : ( ~ % 235.43/37.99 (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v1) | ~ $i(v0) | ~ % 235.43/37.99 c_Nat__Numeral_Oneg(v1) | ? [v2: $i] : ? [v3: $i] : (c_Int_OBit0(v0) = v2 % 235.43/37.99 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3 & $i(v3) & $i(v2) % 235.43/37.99 & c_Nat__Numeral_Oneg(v3))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 235.43/37.99 (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v1) | ~ $i(v0) | % 235.43/37.99 c_Nat__Numeral_Oneg(v1) | ? [v2: $i] : ? [v3: $i] : (c_Int_OBit0(v0) = v2 % 235.43/37.99 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3 & $i(v3) & $i(v2) % 235.43/37.99 & ~ c_Nat__Numeral_Oneg(v3))) % 235.43/37.99 % 235.43/37.99 (fact_neg__number__of__Bit1) % 235.43/37.99 $i(tc_Int_Oint) & ! [v0: $i] : ! [v1: $i] : ( ~ % 235.43/37.99 (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v1) | ~ $i(v0) | ~ % 235.43/37.99 c_Nat__Numeral_Oneg(v1) | ? [v2: $i] : ? [v3: $i] : (c_Int_OBit1(v0) = v2 % 235.43/37.99 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3 & $i(v3) & $i(v2) % 235.43/37.99 & c_Nat__Numeral_Oneg(v3))) & ! [v0: $i] : ! [v1: $i] : ( ~ % 235.43/37.99 (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v1) | ~ $i(v0) | % 235.43/37.99 c_Nat__Numeral_Oneg(v1) | ? [v2: $i] : ? [v3: $i] : (c_Int_OBit1(v0) = v2 % 235.43/37.99 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3 & $i(v3) & $i(v2) % 235.43/37.99 & ~ c_Nat__Numeral_Oneg(v3))) % 235.43/37.99 % 235.43/37.99 (fact_neg__number__of__pred__iff__0) % 235.43/37.99 $i(tc_Int_Oint) & $i(tc_Nat_Onat) & ? [v0: $i] : % 235.43/37.99 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) & ! [v1: $i] : ! % 235.43/37.99 [v2: $i] : (v2 = v0 | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) % 235.43/37.99 = v2) | ~ $i(v1) | ? [v3: $i] : ? [v4: $i] : (c_Int_Opred(v1) = v3 & % 235.43/37.99 c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v3) = v4 & $i(v4) & $i(v3) % 235.43/37.99 & ~ c_Nat__Numeral_Oneg(v4))) & ! [v1: $i] : ( ~ % 235.43/37.99 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v0) | ~ $i(v1) | ? % 235.43/37.99 [v2: $i] : ? [v3: $i] : (c_Int_Opred(v1) = v2 & % 235.43/37.99 c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3 & $i(v3) & $i(v2) % 235.43/37.99 & c_Nat__Numeral_Oneg(v3)))) % 235.43/37.99 % 235.43/37.99 (fact_neg__zdiv__mult__2) % 235.43/37.99 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 235.43/37.99 ? [v3: $i] : ? [v4: $i] : (c_Int_OBit1(c_Int_OPls) = v2 & c_Int_OBit0(v2) = % 235.43/37.99 v3 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v3) = v4 & % 235.43/37.99 c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 & % 235.43/37.99 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v4) & $i(v3) & $i(v2) & % 235.43/37.99 $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! % 235.43/37.99 [v9: $i] : ! [v10: $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Int_Oint, % 235.43/37.99 v4, v6) = v9) | ~ (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v4, v5) % 235.43/37.99 = v7) | ~ (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v8, v9) = v10) | ~ % 235.43/37.99 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v7) = v8) | ~ $i(v6) | ~ % 235.43/37.99 $i(v5) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v6, v0) | ? % 235.43/37.99 [v11: $i] : (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v11, v6) = v10 & % 235.43/37.99 c_Groups_Oplus__class_Oplus(tc_Int_Oint, v5, v1) = v11 & $i(v11) & % 235.43/37.99 $i(v10)))) % 235.43/37.99 % 235.43/37.99 (fact_neq0__conv) % 235.43/37.99 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 % 235.43/37.99 & $i(v0) & ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v0) & ? [v1: % 235.43/37.99 $i] : (v1 = v0 | ~ $i(v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, % 235.43/37.99 v0, v1))) % 235.43/37.99 % 235.43/37.99 (fact_nonneg1__imp__zdiv__pos__iff) % 235.43/37.99 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 % 235.43/37.99 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/37.99 (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v2, v1) = v3) | ~ $i(v2) | ~ % 235.43/37.99 $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v2) | ~ % 235.43/37.99 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) | ~ % 235.43/37.99 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1) | % 235.43/37.99 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3)) & ! [v1: $i] : ! % 235.43/37.99 [v2: $i] : ! [v3: $i] : ( ~ (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v2, % 235.43/37.99 v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ % 235.43/37.99 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) | ~ % 235.43/37.99 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3) | % 235.43/37.99 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v2)) & ! [v1: $i] : ! % 235.43/37.99 [v2: $i] : ! [v3: $i] : ( ~ (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v2, % 235.43/37.99 v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ % 235.43/37.99 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) | ~ % 235.43/37.99 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3) | % 235.43/37.99 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1))) % 235.43/37.99 % 235.43/37.99 (fact_norm__minus__commute) % 235.43/37.99 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 235.43/37.99 (c_Groups_Ominus__class_Ominus(v2, v0, v1) = v3) | ~ % 235.43/37.99 (c_RealVector_Onorm__class_Onorm(v2, v3) = v4) | ~ $i(v2) | ~ $i(v1) | ~ % 235.43/37.99 $i(v0) | ~ class_RealVector_Oreal__normed__vector(v2) | ? [v5: $i] : % 235.43/37.99 (c_Groups_Ominus__class_Ominus(v2, v1, v0) = v5 & % 235.43/37.99 c_RealVector_Onorm__class_Onorm(v2, v5) = v4 & $i(v5) & $i(v4))) % 235.43/37.99 % 235.43/37.99 (fact_not__less0) % 235.43/37.99 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 % 235.43/37.99 & $i(v0) & ! [v1: $i] : ( ~ $i(v1) | ~ % 235.43/37.99 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0))) % 235.43/37.99 % 235.43/37.99 (fact_not__neg__0) % 235.43/37.99 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 % 235.43/37.99 & $i(v0) & ~ c_Nat__Numeral_Oneg(v0)) % 235.43/37.99 % 235.43/37.99 (fact_not__neg__1) % 235.43/37.99 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & % 235.43/37.99 $i(v0) & ~ c_Nat__Numeral_Oneg(v0)) % 235.43/37.99 % 235.43/37.99 (fact_not__neg__eq__ge__0) % 235.43/37.99 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 % 235.43/37.99 & $i(v0) & ! [v1: $i] : ( ~ $i(v1) | ~ c_Nat__Numeral_Oneg(v1) | ~ % 235.43/37.99 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1)) & ? [v1: $i] : ( % 235.43/37.99 ~ $i(v1) | c_Nat__Numeral_Oneg(v1) | % 235.43/37.99 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1))) % 235.43/37.99 % 235.43/37.99 (fact_not__one__le__zero) % 235.43/37.99 ! [v0: $i] : ! [v1: $i] : ( ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~ % 235.43/37.99 $i(v0) | ~ class_Rings_Olinordered__semidom(v0) | ? [v2: $i] : % 235.43/37.99 (c_Groups_Ozero__class_Ozero(v0) = v2 & $i(v2) & ~ % 235.43/37.99 c_Orderings_Oord__class_Oless__eq(v0, v1, v2))) % 235.43/38.00 % 235.43/38.00 (fact_not__one__less__zero) % 235.43/38.00 ! [v0: $i] : ! [v1: $i] : ( ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~ % 235.43/38.00 $i(v0) | ~ class_Rings_Olinordered__semidom(v0) | ? [v2: $i] : % 235.43/38.00 (c_Groups_Ozero__class_Ozero(v0) = v2 & $i(v2) & ~ % 235.43/38.00 c_Orderings_Oord__class_Oless(v0, v1, v2))) % 235.43/38.00 % 235.43/38.00 (fact_not__sum__power2__lt__zero) % 235.43/38.00 $i(c_Int_OPls) & $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 235.43/38.00 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.00 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) & % 235.43/38.00 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] % 235.43/38.00 : ! [v8: $i] : ( ~ (c_Power_Opower__class_Opower(v5, v4, v2) = v6) | ~ % 235.43/38.00 (c_Power_Opower__class_Opower(v5, v3, v2) = v7) | ~ % 235.43/38.00 (c_Groups_Oplus__class_Oplus(v5, v6, v7) = v8) | ~ $i(v5) | ~ $i(v4) | % 235.43/38.00 ~ $i(v3) | ~ class_Rings_Olinordered__idom(v5) | ? [v9: $i] : % 235.43/38.00 (c_Groups_Ozero__class_Ozero(v5) = v9 & $i(v9) & ~ % 235.43/38.00 c_Orderings_Oord__class_Oless(v5, v8, v9)))) % 235.43/38.00 % 235.43/38.00 (fact_number__of1) % 235.43/38.00 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 % 235.43/38.00 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ % 235.43/38.00 (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v2) | ~ $i(v1) | ~ % 235.43/38.00 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) | ? [v3: $i] : ? % 235.43/38.00 [v4: $i] : ? [v5: $i] : ? [v6: $i] : (c_Int_OBit1(v1) = v5 & % 235.43/38.00 c_Int_OBit0(v1) = v3 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v5) % 235.43/38.00 = v6 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v3) = v4 & $i(v6) & % 235.43/38.00 $i(v5) & $i(v4) & $i(v3) & % 235.43/38.00 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v6) & % 235.43/38.00 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v4)))) % 235.43/38.00 % 235.43/38.00 (fact_number__of2) % 235.43/38.00 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : % 235.43/38.00 (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls) = v1 & % 235.43/38.00 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0) & % 235.43/38.00 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1)) % 235.43/38.00 % 235.43/38.00 (fact_number__of__is__id) % 235.43/38.00 $i(tc_Int_Oint) & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ % 235.43/38.00 (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v1) | ~ $i(v0)) % 235.43/38.00 % 235.43/38.00 (fact_numeral__1__eq__1) % 235.43/38.00 $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! % 235.43/38.00 [v1: $i] : ! [v2: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) % 235.43/38.00 | ~ $i(v1) | ~ class_Int_Onumber__ring(v1) | % 235.43/38.00 (c_Groups_Oone__class_Oone(v1) = v2 & $i(v2)))) % 235.43/38.00 % 235.43/38.00 (fact_o__apply) % 235.43/38.00 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 235.43/38.00 $i] : ! [v6: $i] : ! [v7: $i] : ( ~ (c_Fun_Ocomp(v5, v4, v3, v2, v1) = v6) % 235.43/38.00 | ~ (hAPP(v6, v0) = v7) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | % 235.43/38.00 ~ $i(v1) | ~ $i(v0) | ? [v8: $i] : (hAPP(v2, v8) = v7 & hAPP(v1, v0) = v8 % 235.43/38.00 & $i(v8) & $i(v7))) % 235.43/38.00 % 235.43/38.00 (fact_odd__less__0) % 235.43/38.00 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] : % 235.43/38.00 (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & % 235.43/38.00 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v1 & $i(v1) & $i(v0) & ! [v2: % 235.43/38.00 $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 235.43/38.00 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v3, v2) = v4) | ~ % 235.43/38.00 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v2) = v3) | ~ $i(v2) | ~ % 235.43/38.00 c_Orderings_Oord__class_Oless(tc_Int_Oint, v4, v1) | % 235.43/38.00 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1)) & ! [v2: $i] : ! % 235.43/38.00 [v3: $i] : ! [v4: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v3, % 235.43/38.00 v2) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v2) = v3) % 235.43/38.00 | ~ $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) | % 235.43/38.00 c_Orderings_Oord__class_Oless(tc_Int_Oint, v4, v1))) % 235.43/38.00 % 235.43/38.00 (fact_odd__nonzero) % 235.43/38.00 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] : % 235.43/38.00 (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & % 235.43/38.00 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v1 & $i(v1) & $i(v0) & ! [v2: % 235.43/38.00 $i] : ! [v3: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v3, v2) % 235.43/38.00 = v1) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v2) = v3) | ~ % 235.43/38.00 $i(v2))) % 235.43/38.00 % 235.43/38.00 (fact_one__add__one__is__two) % 235.43/38.00 $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & % 235.43/38.00 c_Int_OBit0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.00 (c_Int_Onumber__class_Onumber__of(v2, v1) = v3) | ~ $i(v2) | ~ % 235.43/38.00 class_Int_Onumber__ring(v2) | ? [v4: $i] : (c_Groups_Oone__class_Oone(v2) % 235.43/38.00 = v4 & c_Groups_Oplus__class_Oplus(v2, v4, v4) = v3 & $i(v4) & $i(v3)))) % 235.43/38.00 % 235.43/38.00 (fact_one__code__numeral__code) % 235.43/38.00 $i(tc_Code__Numeral_Ocode__numeral) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: % 235.43/38.00 $i] : (c_Int_OBit1(c_Int_OPls) = v1 & % 235.43/38.00 c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral, v1) = v0 & % 235.43/38.00 c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = v0 & $i(v1) & % 235.43/38.00 $i(v0)) % 235.43/38.00 % 235.43/38.00 (fact_one__is__num__one) % 235.43/38.00 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : % 235.43/38.00 (c_Int_OBit1(c_Int_OPls) = v1 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, % 235.43/38.00 v1) = v0 & c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & $i(v1) & $i(v0)) % 235.43/38.00 % 235.43/38.00 (fact_one__less__power) % 235.43/38.00 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 % 235.43/38.00 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 235.43/38.00 (c_Power_Opower__class_Opower(v3, v2, v1) = v4) | ~ $i(v3) | ~ $i(v2) | % 235.43/38.00 ~ $i(v1) | ~ class_Rings_Olinordered__semidom(v3) | ~ % 235.43/38.00 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) | ? [v5: $i] : % 235.43/38.00 (c_Groups_Oone__class_Oone(v3) = v5 & $i(v5) & ( ~ % 235.43/38.00 c_Orderings_Oord__class_Oless(v3, v5, v2) | % 235.43/38.00 c_Orderings_Oord__class_Oless(v3, v5, v4))))) % 235.43/38.00 % 235.43/38.00 (fact_one__power2) % 235.43/38.01 $i(c_Int_OPls) & $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 235.43/38.01 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.01 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) & % 235.43/38.01 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 = v4 | ~ % 235.43/38.01 (c_Power_Opower__class_Opower(v3, v4, v2) = v5) | ~ % 235.43/38.01 (c_Groups_Oone__class_Oone(v3) = v4) | ~ $i(v3) | ~ % 235.43/38.01 class_Rings_Osemiring__1(v3))) % 235.43/38.01 % 235.43/38.01 (fact_order__le__less__trans) % 235.43/38.01 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2) % 235.43/38.01 | ~ $i(v1) | ~ $i(v0) | ~ class_Orderings_Opreorder(v3) | ~ % 235.43/38.01 c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | ~ % 235.43/38.01 c_Orderings_Oord__class_Oless(v3, v1, v0) | % 235.43/38.01 c_Orderings_Oord__class_Oless(v3, v2, v0)) % 235.43/38.01 % 235.43/38.01 (fact_plus__nat_Oadd__0) % 235.43/38.01 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 % 235.43/38.01 & $i(v0) & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~ % 235.43/38.01 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v2) | ~ $i(v1))) % 235.43/38.01 % 235.43/38.01 (fact_pos2) % 235.43/38.01 $i(c_Int_OPls) & $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 235.43/38.01 ? [v3: $i] : (c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 & % 235.43/38.01 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & % 235.43/38.01 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v3) & $i(v2) & $i(v1) & % 235.43/38.01 $i(v0) & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3)) % 235.43/38.01 % 235.43/38.01 (fact_pos__imp__zdiv__neg__iff) % 235.43/38.01 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 % 235.43/38.01 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.01 (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v1, v2) = v3) | ~ $i(v2) | ~ % 235.43/38.01 $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v0) | ~ % 235.43/38.01 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v2) | % 235.43/38.01 c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0)) & ! [v1: $i] : ! % 235.43/38.01 [v2: $i] : ! [v3: $i] : ( ~ (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v1, % 235.43/38.01 v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ % 235.43/38.01 c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | ~ % 235.43/38.01 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v2) | % 235.43/38.01 c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v0))) % 235.43/38.01 % 235.43/38.01 (fact_pos__imp__zdiv__nonneg__iff) % 235.43/38.01 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 % 235.43/38.01 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.01 (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v1, v2) = v3) | ~ $i(v2) | ~ % 235.43/38.01 $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3) | ~ % 235.43/38.01 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v2) | % 235.43/38.01 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1)) & ! [v1: $i] : ! % 235.43/38.01 [v2: $i] : ! [v3: $i] : ( ~ (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v1, % 235.43/38.01 v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ % 235.43/38.01 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) | ~ % 235.43/38.01 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v2) | % 235.43/38.01 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3))) % 235.43/38.01 % 235.43/38.01 (fact_pos__imp__zdiv__pos__iff) % 235.43/38.01 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 % 235.43/38.01 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.01 (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v1, v2) = v3) | ~ $i(v2) | ~ % 235.43/38.01 $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v1) | ~ % 235.43/38.01 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v2) | % 235.43/38.01 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3)) & ! [v1: $i] : ! % 235.43/38.01 [v2: $i] : ! [v3: $i] : ( ~ (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v1, % 235.43/38.01 v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ % 235.43/38.01 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3) | ~ % 235.43/38.01 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v2) | % 235.43/38.01 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v1))) % 235.43/38.01 % 235.43/38.01 (fact_power2__abs) % 235.43/38.01 $i(c_Int_OPls) & $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 235.43/38.01 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.01 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) & % 235.43/38.01 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~ % 235.43/38.01 (c_Power_Opower__class_Opower(v4, v5, v2) = v6) | ~ % 235.43/38.01 (c_Groups_Oabs__class_Oabs(v4, v3) = v5) | ~ $i(v4) | ~ $i(v3) | ~ % 235.43/38.01 class_Rings_Olinordered__idom(v4) | (c_Power_Opower__class_Opower(v4, v3, % 235.43/38.01 v2) = v6 & $i(v6)))) % 235.43/38.01 % 235.43/38.01 (fact_power2__eq__imp__eq) % 235.43/38.01 $i(c_Int_OPls) & $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 235.43/38.01 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.01 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) & % 235.43/38.01 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v4 = v3 | % 235.43/38.01 ~ (c_Power_Opower__class_Opower(v5, v4, v2) = v6) | ~ % 235.43/38.01 (c_Power_Opower__class_Opower(v5, v3, v2) = v6) | ~ $i(v5) | ~ $i(v4) | % 235.43/38.01 ~ $i(v3) | ~ class_Rings_Olinordered__semidom(v5) | ? [v7: $i] : % 235.43/38.01 (c_Groups_Ozero__class_Ozero(v5) = v7 & $i(v7) & ( ~ % 235.43/38.01 c_Orderings_Oord__class_Oless__eq(v5, v7, v4) | ~ % 235.43/38.01 c_Orderings_Oord__class_Oless__eq(v5, v7, v3))))) % 235.43/38.01 % 235.43/38.01 (fact_power2__le__imp__le) % 235.43/38.01 $i(c_Int_OPls) & $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 235.43/38.01 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.01 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) & % 235.43/38.01 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] % 235.43/38.01 : ( ~ (c_Power_Opower__class_Opower(v5, v4, v2) = v6) | ~ % 235.43/38.01 (c_Power_Opower__class_Opower(v5, v3, v2) = v7) | ~ $i(v5) | ~ $i(v4) | % 235.43/38.01 ~ $i(v3) | ~ class_Rings_Olinordered__semidom(v5) | ~ % 235.43/38.01 c_Orderings_Oord__class_Oless__eq(v5, v6, v7) | % 235.43/38.01 c_Orderings_Oord__class_Oless__eq(v5, v4, v3) | ? [v8: $i] : % 235.43/38.01 (c_Groups_Ozero__class_Ozero(v5) = v8 & $i(v8) & ~ % 235.43/38.01 c_Orderings_Oord__class_Oless__eq(v5, v8, v3)))) % 235.43/38.01 % 235.43/38.01 (fact_power2__less__0) % 235.43/38.01 $i(c_Int_OPls) & $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 235.43/38.01 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.01 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) & % 235.43/38.01 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ % 235.43/38.01 (c_Power_Opower__class_Opower(v4, v3, v2) = v5) | ~ $i(v4) | ~ $i(v3) | % 235.43/38.01 ~ class_Rings_Olinordered__idom(v4) | ? [v6: $i] : % 235.43/38.01 (c_Groups_Ozero__class_Ozero(v4) = v6 & $i(v6) & ~ % 235.43/38.01 c_Orderings_Oord__class_Oless(v4, v5, v6)))) % 235.43/38.01 % 235.43/38.01 (fact_power2__less__imp__less) % 235.43/38.02 $i(c_Int_OPls) & $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 235.43/38.02 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.02 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) & % 235.43/38.02 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] % 235.43/38.02 : ( ~ (c_Power_Opower__class_Opower(v5, v4, v2) = v6) | ~ % 235.43/38.02 (c_Power_Opower__class_Opower(v5, v3, v2) = v7) | ~ $i(v5) | ~ $i(v4) | % 235.43/38.02 ~ $i(v3) | ~ class_Rings_Olinordered__semidom(v5) | ~ % 235.43/38.02 c_Orderings_Oord__class_Oless(v5, v6, v7) | % 235.43/38.02 c_Orderings_Oord__class_Oless(v5, v4, v3) | ? [v8: $i] : % 235.43/38.02 (c_Groups_Ozero__class_Ozero(v5) = v8 & $i(v8) & ~ % 235.43/38.02 c_Orderings_Oord__class_Oless__eq(v5, v8, v3)))) % 235.43/38.02 % 235.43/38.02 (fact_power__0) % 235.43/38.02 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 % 235.43/38.02 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.02 (c_Power_Opower__class_Opower(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) | % 235.43/38.02 ~ class_Power_Opower(v2) | (c_Groups_Oone__class_Oone(v2) = v3 & $i(v3)))) % 235.43/38.02 % 235.43/38.02 (fact_power__0__left) % 235.43/38.02 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 % 235.43/38.02 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v3 % 235.43/38.02 | v1 = v0 | ~ (c_Power_Opower__class_Opower(v2, v3, v1) = v4) | ~ % 235.43/38.02 (c_Groups_Ozero__class_Ozero(v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ % 235.43/38.02 class_Rings_Osemiring__0(v2) | ~ class_Power_Opower(v2)) & ! [v1: $i] : % 235.43/38.02 ! [v2: $i] : ! [v3: $i] : ( ~ (c_Power_Opower__class_Opower(v1, v2, v0) = % 235.43/38.02 v3) | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ $i(v1) | ~ % 235.43/38.02 class_Rings_Osemiring__0(v1) | ~ class_Power_Opower(v1) | % 235.43/38.02 (c_Groups_Oone__class_Oone(v1) = v3 & $i(v3)))) % 235.43/38.02 % 235.43/38.02 (fact_power__0__left__number__of) % 235.43/38.02 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 % 235.43/38.02 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 235.43/38.02 $i] : (v5 = v4 | v3 = v0 | ~ (c_Power_Opower__class_Opower(v2, v4, v3) = % 235.43/38.02 v5) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v3) | ~ % 235.43/38.02 (c_Groups_Ozero__class_Ozero(v2) = v4) | ~ $i(v2) | ~ $i(v1) | ~ % 235.43/38.02 class_Rings_Osemiring__0(v2) | ~ class_Power_Opower(v2)) & ! [v1: $i] : % 235.43/38.02 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 235.43/38.02 (c_Power_Opower__class_Opower(v2, v3, v0) = v4) | ~ % 235.43/38.02 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v0) | ~ % 235.43/38.02 (c_Groups_Ozero__class_Ozero(v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ % 235.43/38.02 class_Rings_Osemiring__0(v2) | ~ class_Power_Opower(v2) | % 235.43/38.02 (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4)))) % 235.43/38.02 % 235.43/38.02 (fact_power__eq__0__iff) % 235.43/38.02 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 % 235.43/38.02 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 235.43/38.02 (c_Power_Opower__class_Opower(v3, v2, v1) = v4) | ~ $i(v3) | ~ $i(v2) | % 235.43/38.02 ~ $i(v1) | ~ class_Rings_Ono__zero__divisors(v3) | ~ % 235.43/38.02 class_Rings_Omult__zero(v3) | ~ class_Power_Opower(v3) | ~ % 235.43/38.02 class_Rings_Ozero__neq__one(v3) | ? [v5: $i] : % 235.43/38.02 (c_Groups_Ozero__class_Ozero(v3) = v5 & $i(v5) & ( ~ (v5 = v4) | (v4 = v2 % 235.43/38.02 & ~ (v1 = v0))) & ( ~ (v5 = v2) | v4 = v2 | v1 = v0)))) % 235.43/38.02 % 235.43/38.02 (fact_power__eq__0__iff__number__of) % 235.43/38.02 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 % 235.43/38.02 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 235.43/38.02 $i] : ( ~ (c_Power_Opower__class_Opower(v3, v2, v4) = v5) | ~ % 235.43/38.02 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v4) | ~ $i(v3) | ~ % 235.43/38.02 $i(v2) | ~ $i(v1) | ~ class_Rings_Ono__zero__divisors(v3) | ~ % 235.43/38.02 class_Rings_Omult__zero(v3) | ~ class_Power_Opower(v3) | ~ % 235.43/38.02 class_Rings_Ozero__neq__one(v3) | ? [v6: $i] : % 235.43/38.02 (c_Groups_Ozero__class_Ozero(v3) = v6 & $i(v6) & ( ~ (v6 = v5) | (v5 = v2 % 235.43/38.02 & ~ (v4 = v0))) & ( ~ (v6 = v2) | v5 = v2 | v4 = v0)))) % 235.43/38.02 % 235.43/38.02 (fact_power__eq__imp__eq__base) % 235.43/38.02 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 % 235.43/38.02 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 235.43/38.02 $i] : (v3 = v1 | ~ (c_Power_Opower__class_Opower(v4, v3, v2) = v5) | ~ % 235.43/38.02 (c_Power_Opower__class_Opower(v4, v1, v2) = v5) | ~ $i(v4) | ~ $i(v3) | % 235.43/38.02 ~ $i(v2) | ~ $i(v1) | ~ class_Rings_Olinordered__semidom(v4) | ~ % 235.43/38.02 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) | ? [v6: $i] : % 235.43/38.02 (c_Groups_Ozero__class_Ozero(v4) = v6 & $i(v6) & ( ~ % 235.43/38.02 c_Orderings_Oord__class_Oless__eq(v4, v6, v3) | ~ % 235.43/38.02 c_Orderings_Oord__class_Oless__eq(v4, v6, v1))))) % 235.43/38.02 % 235.43/38.02 (fact_power__strict__mono) % 235.43/38.02 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 % 235.43/38.02 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 235.43/38.02 $i] : ! [v6: $i] : ( ~ (c_Power_Opower__class_Opower(v4, v3, v1) = v5) | % 235.43/38.02 ~ (c_Power_Opower__class_Opower(v4, v2, v1) = v6) | ~ $i(v4) | ~ $i(v3) % 235.43/38.02 | ~ $i(v2) | ~ $i(v1) | ~ class_Rings_Olinordered__semidom(v4) | ~ % 235.43/38.02 c_Orderings_Oord__class_Oless(v4, v3, v2) | ~ % 235.43/38.02 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) | % 235.43/38.02 c_Orderings_Oord__class_Oless(v4, v5, v6) | ? [v7: $i] : % 235.43/38.02 (c_Groups_Ozero__class_Ozero(v4) = v7 & $i(v7) & ~ % 235.43/38.02 c_Orderings_Oord__class_Oless__eq(v4, v7, v3)))) % 235.43/38.02 % 235.43/38.02 (fact_pred__def) % 235.43/38.02 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & % 235.43/38.02 $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ % 235.43/38.02 (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v1, v0) = v2) | ~ $i(v1) | % 235.43/38.02 (c_Int_Opred(v1) = v2 & $i(v2)))) % 235.43/38.02 % 235.43/38.02 (fact_real__average__minus__first) % 235.43/38.02 $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 235.43/38.02 $i] : (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.02 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2) & % 235.43/38.02 $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! % 235.43/38.02 [v7: $i] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v2) = % 235.43/38.02 v6) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v3) = v5) | % 235.43/38.02 ~ (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v6, v4) = v7) | ~ % 235.43/38.02 $i(v4) | ~ $i(v3) | ? [v8: $i] : % 235.43/38.02 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v8, v2) = v7 & % 235.43/38.02 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v3, v4) = v8 & $i(v8) & % 235.43/38.02 $i(v7)))) % 235.43/38.02 % 235.43/38.02 (fact_real__average__minus__second) % 235.43/38.03 $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 235.43/38.03 $i] : (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.03 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2) & % 235.43/38.03 $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! % 235.43/38.03 [v7: $i] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v2) = % 235.43/38.03 v6) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v3) = v5) | % 235.43/38.03 ~ (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v6, v3) = v7) | ~ % 235.43/38.03 $i(v4) | ~ $i(v3) | ? [v8: $i] : % 235.43/38.03 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v8, v2) = v7 & % 235.43/38.03 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v4, v3) = v8 & $i(v8) & % 235.43/38.03 $i(v7)))) % 235.43/38.03 % 235.43/38.03 (fact_real__gt__half__sum) % 235.43/38.03 $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 235.43/38.03 $i] : (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.03 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2) & % 235.43/38.03 $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ % 235.43/38.03 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v3) = v5) | ~ $i(v4) | % 235.43/38.03 ~ $i(v3) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v3) | % 235.43/38.03 ? [v6: $i] : (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v2) = % 235.43/38.03 v6 & $i(v6) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v3)))) % 235.43/38.03 % 235.43/38.03 (fact_real__less__half__sum) % 235.43/38.03 $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 235.43/38.03 $i] : (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.03 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2) & % 235.43/38.03 $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ % 235.43/38.03 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v3) = v5) | ~ $i(v4) | % 235.43/38.03 ~ $i(v3) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v3) | % 235.43/38.03 ? [v6: $i] : (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v2) = % 235.43/38.03 v6 & $i(v6) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v6)))) % 235.43/38.03 % 235.43/38.03 (fact_real__of__nat__gt__zero__cancel__iff) % 235.43/38.03 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : % 235.43/38.03 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 & % 235.43/38.03 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & ! % 235.43/38.03 [v2: $i] : ! [v3: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3) | ~ % 235.43/38.03 $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2) | % 235.43/38.03 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3)) & ! [v2: $i] : % 235.43/38.03 ! [v3: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3) | ~ $i(v2) | ~ % 235.43/38.03 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) | % 235.43/38.03 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2))) % 235.43/38.03 % 235.43/38.03 (fact_real__of__nat__le__zero__cancel__iff) % 235.43/38.03 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : % 235.43/38.03 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 & % 235.43/38.03 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & ! % 235.43/38.03 [v2: $i] : ! [v3: $i] : (v2 = v1 | ~ (c_RealDef_Oreal(tc_Nat_Onat, v2) = % 235.43/38.03 v3) | ~ $i(v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, % 235.43/38.03 v3, v0)) & ! [v2: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2) | % 235.43/38.03 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0))) % 235.43/38.03 % 235.43/38.03 (fact_real__of__nat__zero) % 235.43/38.03 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : % 235.43/38.03 (c_RealDef_Oreal(tc_Nat_Onat, v0) = v1 & % 235.43/38.03 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & % 235.43/38.03 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0)) % 235.43/38.03 % 235.43/38.03 (fact_real__of__nat__zero__iff) % 235.43/38.03 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : % 235.43/38.03 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 & % 235.43/38.03 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & ! % 235.43/38.03 [v2: $i] : (v2 = v1 | ~ (c_RealDef_Oreal(tc_Nat_Onat, v2) = v0) | ~ % 235.43/38.03 $i(v2)) & ! [v2: $i] : (v2 = v0 | ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) = % 235.43/38.03 v2))) % 235.43/38.03 % 235.43/38.03 (fact_real__sqrt__abs) % 235.43/38.03 $i(c_Int_OPls) & $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? % 235.43/38.03 [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 % 235.43/38.03 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) & % 235.43/38.03 $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~ % 235.43/38.03 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v3, v2) = v4) | ~ $i(v3) % 235.43/38.03 | ? [v5: $i] : (c_NthRoot_Osqrt(v4) = v5 & % 235.43/38.03 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v3) = v5 & $i(v5)))) % 235.43/38.03 % 235.43/38.03 (fact_real__sqrt__ge__abs1) % 235.43/38.03 $i(c_Int_OPls) & $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? % 235.43/38.03 [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 % 235.43/38.03 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) & % 235.43/38.03 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] % 235.43/38.03 : ( ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v2) = v5) | ~ % 235.43/38.03 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v3, v2) = v6) | ~ % 235.43/38.03 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v6) = v7) | ~ $i(v4) | % 235.43/38.03 ~ $i(v3) | ? [v8: $i] : ? [v9: $i] : (c_NthRoot_Osqrt(v7) = v9 & % 235.43/38.03 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v4) = v8 & $i(v9) & $i(v8) & % 235.43/38.03 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v8, v9)))) % 235.43/38.03 % 235.43/38.03 (fact_real__sqrt__ge__abs2) % 235.43/38.03 $i(c_Int_OPls) & $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? % 235.43/38.03 [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 % 235.43/38.03 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) & % 235.43/38.03 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] % 235.43/38.03 : ( ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v2) = v6) | ~ % 235.43/38.03 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v3, v2) = v5) | ~ % 235.43/38.03 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v6) = v7) | ~ $i(v4) | % 235.43/38.03 ~ $i(v3) | ? [v8: $i] : ? [v9: $i] : (c_NthRoot_Osqrt(v7) = v9 & % 235.43/38.03 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v4) = v8 & $i(v9) & $i(v8) & % 235.43/38.03 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v8, v9)))) % 235.43/38.03 % 235.43/38.03 (fact_real__sqrt__pow2) % 235.43/38.03 $i(c_Int_OPls) & $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? % 235.43/38.03 [v1: $i] : ? [v2: $i] : ? [v3: $i] : (c_Int_OBit1(c_Int_OPls) = v1 & % 235.43/38.03 c_Int_OBit0(v1) = v2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = % 235.43/38.03 v3 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v3) & $i(v2) & % 235.43/38.03 $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ( ~ (c_NthRoot_Osqrt(v4) = v5) % 235.43/38.03 | ~ $i(v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, % 235.43/38.03 v4) | c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v3) = v4)) % 235.43/38.03 % 235.43/38.03 (fact_real__sqrt__pow2__gt__zero) % 235.43/38.04 $i(c_Int_OPls) & $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? % 235.43/38.04 [v1: $i] : ? [v2: $i] : ? [v3: $i] : (c_Int_OBit1(c_Int_OPls) = v1 & % 235.43/38.04 c_Int_OBit0(v1) = v2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = % 235.43/38.04 v3 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v3) & $i(v2) & % 235.43/38.04 $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ( ~ (c_NthRoot_Osqrt(v4) = v5) % 235.43/38.04 | ~ $i(v4) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) | % 235.43/38.04 ? [v6: $i] : (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v3) = v6 % 235.43/38.04 & $i(v6) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v6)))) % 235.43/38.04 % 235.43/38.04 (fact_real__sqrt__pow2__iff) % 235.43/38.04 $i(c_Int_OPls) & $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? % 235.43/38.04 [v1: $i] : ? [v2: $i] : ? [v3: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & % 235.43/38.04 c_Int_OBit0(v0) = v1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = % 235.43/38.04 v2 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v3 & $i(v3) & $i(v2) & % 235.43/38.04 $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ( ~ (c_NthRoot_Osqrt(v4) = v5) % 235.43/38.04 | ~ $i(v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, % 235.43/38.04 v4) | c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v2) = v4) & ! % 235.43/38.04 [v4: $i] : ! [v5: $i] : ( ~ (c_NthRoot_Osqrt(v4) = v5) | ~ $i(v4) | % 235.43/38.04 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v4) | ? [v6: $i] % 235.43/38.04 : ( ~ (v6 = v4) & c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v2) = % 235.43/38.04 v6 & $i(v6)))) % 235.43/38.04 % 235.43/38.04 (fact_real__sqrt__sum__squares__eq__cancel) % 235.43/38.04 $i(c_Int_OPls) & $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? % 235.43/38.04 [v1: $i] : ? [v2: $i] : ? [v3: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & % 235.43/38.04 c_Int_OBit0(v0) = v1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = % 235.43/38.04 v2 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v3 & $i(v3) & $i(v2) & % 235.43/38.04 $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! % 235.43/38.04 [v8: $i] : (v4 = v3 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, % 235.43/38.04 v2) = v6) | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v2) % 235.43/38.04 = v7) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v6, v7) = v8) % 235.43/38.04 | ~ $i(v5) | ~ $i(v4) | ? [v9: $i] : ( ~ (v9 = v5) & % 235.43/38.04 c_NthRoot_Osqrt(v8) = v9 & $i(v9)))) % 235.43/38.04 % 235.43/38.04 (fact_real__sqrt__sum__squares__eq__cancel2) % 235.43/38.04 $i(c_Int_OPls) & $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? % 235.43/38.04 [v1: $i] : ? [v2: $i] : ? [v3: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & % 235.43/38.04 c_Int_OBit0(v0) = v1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = % 235.43/38.04 v2 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v3 & $i(v3) & $i(v2) & % 235.43/38.04 $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! % 235.43/38.04 [v8: $i] : (v5 = v3 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, % 235.43/38.04 v2) = v6) | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v2) % 235.43/38.04 = v7) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v6, v7) = v8) % 235.43/38.04 | ~ $i(v5) | ~ $i(v4) | ? [v9: $i] : ( ~ (v9 = v4) & % 235.43/38.04 c_NthRoot_Osqrt(v8) = v9 & $i(v9)))) % 235.43/38.04 % 235.43/38.04 (fact_real__sqrt__sum__squares__ge1) % 235.43/38.04 $i(c_Int_OPls) & $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? % 235.43/38.04 [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 % 235.43/38.04 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) & % 235.43/38.04 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] % 235.43/38.04 : ( ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v2) = v5) | ~ % 235.43/38.04 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v3, v2) = v6) | ~ % 235.43/38.04 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v6) = v7) | ~ $i(v4) | % 235.43/38.04 ~ $i(v3) | ? [v8: $i] : (c_NthRoot_Osqrt(v7) = v8 & $i(v8) & % 235.43/38.04 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v8)))) % 235.43/38.04 % 235.43/38.04 (fact_real__sqrt__sum__squares__ge2) % 235.43/38.04 $i(c_Int_OPls) & $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? % 235.43/38.04 [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 % 235.43/38.04 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) & % 235.43/38.04 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] % 235.43/38.04 : ( ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v2) = v6) | ~ % 235.43/38.04 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v3, v2) = v5) | ~ % 235.43/38.04 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v6) = v7) | ~ $i(v4) | % 235.43/38.04 ~ $i(v3) | ? [v8: $i] : (c_NthRoot_Osqrt(v7) = v8 & $i(v8) & % 235.43/38.04 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v8)))) % 235.43/38.04 % 235.43/38.04 (fact_real__sqrt__sum__squares__ge__zero) % 235.43/38.04 $i(c_Int_OPls) & $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? % 235.43/38.04 [v1: $i] : ? [v2: $i] : ? [v3: $i] : (c_Int_OBit1(c_Int_OPls) = v1 & % 235.43/38.04 c_Int_OBit0(v1) = v2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = % 235.43/38.04 v3 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v3) & $i(v2) & % 235.43/38.04 $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! % 235.43/38.04 [v8: $i] : ( ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v3) = v6) % 235.43/38.04 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v3) = v7) | ~ % 235.43/38.04 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v6, v7) = v8) | ~ $i(v5) | % 235.43/38.04 ~ $i(v4) | ? [v9: $i] : (c_NthRoot_Osqrt(v8) = v9 & $i(v9) & % 235.43/38.04 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v9)))) % 235.43/38.04 % 235.43/38.04 (fact_real__sqrt__sum__squares__less) % 235.43/38.04 $i(c_Int_OPls) & $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? % 235.43/38.04 [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : (c_NthRoot_Osqrt(v2) = v3 % 235.43/38.04 & c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.04 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v4 & % 235.43/38.04 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v4) & % 235.43/38.04 $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : ! [v7: $i] % 235.43/38.04 : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~ % 235.43/38.04 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v7, v4) = v9) | ~ % 235.43/38.04 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v4) = v10) | ~ % 235.43/38.04 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v6, v3) = v8) | ~ % 235.43/38.04 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v9, v10) = v11) | ~ $i(v7) % 235.43/38.04 | ~ $i(v6) | ~ $i(v5) | ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 235.43/38.04 ((c_NthRoot_Osqrt(v11) = v14 & $i(v14) & % 235.43/38.04 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v14, v6)) | % 235.43/38.04 (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v7) = v12 & $i(v12) & ~ % 235.43/38.04 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12, v8)) | % 235.43/38.04 (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v5) = v13 & $i(v13) & ~ % 235.43/38.04 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v13, v8))))) % 235.43/38.04 % 235.43/38.04 (fact_real__sqrt__sum__squares__mult__ge__zero) % 235.43/38.05 $i(c_Int_OPls) & $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? % 235.43/38.05 [v1: $i] : ? [v2: $i] : ? [v3: $i] : (c_Int_OBit1(c_Int_OPls) = v1 & % 235.43/38.05 c_Int_OBit0(v1) = v2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = % 235.43/38.05 v3 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v3) & $i(v2) & % 235.43/38.05 $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! % 235.43/38.05 [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ! [v12: $i] : ! % 235.43/38.05 [v13: $i] : ! [v14: $i] : ( ~ % 235.43/38.05 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v10, v13) = v14) | ~ % 235.43/38.05 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v7, v3) = v8) | ~ % 235.43/38.05 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v6, v3) = v9) | ~ % 235.43/38.05 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v3) = v11) | ~ % 235.43/38.05 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v3) = v12) | ~ % 235.43/38.05 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v11, v12) = v13) | ~ % 235.43/38.05 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v8, v9) = v10) | ~ $i(v7) % 235.43/38.05 | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ? [v15: $i] : (c_NthRoot_Osqrt(v14) % 235.43/38.05 = v15 & $i(v15) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, % 235.43/38.05 v0, v15)))) % 235.43/38.05 % 235.43/38.05 (fact_real__sqrt__sum__squares__triangle__ineq) % 235.43/38.05 $i(c_Int_OPls) & $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? % 235.43/38.05 [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 % 235.43/38.05 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) & % 235.43/38.05 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] % 235.43/38.05 : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ! [v12: $i] : % 235.43/38.05 ! [v13: $i] : ! [v14: $i] : ! [v15: $i] : ( ~ (c_NthRoot_Osqrt(v13) = v14) % 235.43/38.05 | ~ (c_NthRoot_Osqrt(v9) = v10) | ~ % 235.43/38.05 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v6, v2) = v7) | ~ % 235.43/38.05 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v2) = v11) | ~ % 235.43/38.05 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v2) = v8) | ~ % 235.43/38.05 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v3, v2) = v12) | ~ % 235.43/38.05 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v11, v12) = v13) | ~ % 235.43/38.05 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v10, v14) = v15) | ~ % 235.43/38.05 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v7, v8) = v9) | ~ $i(v6) | % 235.43/38.05 ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ? [v16: $i] : ? [v17: $i] : ? [v18: % 235.43/38.05 $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : (c_NthRoot_Osqrt(v20) % 235.43/38.05 = v21 & c_Power_Opower__class_Opower(tc_RealDef_Oreal, v18, v2) = v19 & % 235.43/38.05 c_Power_Opower__class_Opower(tc_RealDef_Oreal, v16, v2) = v17 & % 235.43/38.05 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v17, v19) = v20 & % 235.43/38.05 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v6, v5) = v16 & % 235.43/38.05 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v3) = v18 & $i(v21) & % 235.43/38.05 $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & % 235.43/38.05 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v21, v15)))) % 235.43/38.05 % 235.43/38.05 (fact_real__sqrt__two__ge__zero) % 235.43/38.05 $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 235.43/38.05 $i] : ? [v3: $i] : ? [v4: $i] : (c_NthRoot_Osqrt(v3) = v4 & % 235.43/38.05 c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 & % 235.43/38.05 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 & % 235.43/38.05 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v4) & $i(v3) & % 235.43/38.05 $i(v2) & $i(v1) & $i(v0) & % 235.43/38.05 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v4)) % 235.43/38.05 % 235.43/38.05 (fact_real__sqrt__two__gt__one) % 235.43/38.05 $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 235.43/38.05 $i] : ? [v3: $i] : ? [v4: $i] : (c_NthRoot_Osqrt(v3) = v4 & % 235.43/38.05 c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 & % 235.43/38.05 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 & % 235.43/38.05 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v4) & $i(v3) & $i(v2) % 235.43/38.05 & $i(v1) & $i(v0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4)) % 235.43/38.05 % 235.43/38.05 (fact_real__sqrt__two__gt__zero) % 235.43/38.05 $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 235.43/38.05 $i] : ? [v3: $i] : ? [v4: $i] : (c_NthRoot_Osqrt(v3) = v4 & % 235.43/38.05 c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 & % 235.43/38.05 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 & % 235.43/38.05 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v4) & $i(v3) & % 235.43/38.05 $i(v2) & $i(v1) & $i(v0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, % 235.43/38.05 v0, v4)) % 235.43/38.05 % 235.43/38.05 (fact_real__sqrt__unique) % 235.43/38.05 $i(c_Int_OPls) & $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? % 235.43/38.05 [v1: $i] : ? [v2: $i] : ? [v3: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & % 235.43/38.05 c_Int_OBit0(v0) = v1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = % 235.43/38.05 v2 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v3 & $i(v3) & $i(v2) & % 235.43/38.05 $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v6 = v5 | ~ % 235.43/38.05 (c_NthRoot_Osqrt(v4) = v6) | ~ % 235.43/38.05 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v2) = v4) | ~ $i(v5) % 235.43/38.05 | ~ $i(v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, % 235.43/38.05 v5))) % 235.43/38.05 % 235.43/38.05 (fact_real__sum__of__halves) % 235.43/38.05 $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 235.43/38.05 $i] : (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.05 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2) & % 235.43/38.05 $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 = v3 | ~ % 235.43/38.05 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v3, v2) = v4) | ~ % 235.43/38.05 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v4) = v5) | ~ $i(v3))) % 235.43/38.05 % 235.43/38.05 (fact_realpow__two__sum__zero__iff) % 235.43/38.05 $i(c_Int_OPls) & $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? % 235.43/38.05 [v1: $i] : ? [v2: $i] : ? [v3: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & % 235.43/38.05 c_Int_OBit0(v0) = v1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = % 235.43/38.05 v2 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v3 & $i(v3) & $i(v2) & % 235.43/38.05 $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : % 235.43/38.05 (v5 = v3 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v2) = v6) % 235.43/38.05 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v2) = v7) | ~ % 235.43/38.05 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v6, v7) = v3) | ~ $i(v5) | % 235.43/38.05 ~ $i(v4)) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : (v4 = % 235.43/38.05 v3 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v2) = v6) | ~ % 235.43/38.05 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v2) = v7) | ~ % 235.43/38.05 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v6, v7) = v3) | ~ $i(v5) | % 235.43/38.05 ~ $i(v4)) & ! [v4: $i] : ! [v5: $i] : (v5 = v3 | ~ % 235.43/38.05 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v3, v2) = v4) | ~ % 235.43/38.05 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v4) = v5))) % 235.43/38.05 % 235.43/38.05 (fact_rel__simps_I22_J) % 235.43/38.05 $i(tc_Int_Oint) & $i(c_Int_OPls) & ! [v0: $i] : ! [v1: $i] : ( ~ % 235.43/38.05 (c_Int_OBit1(v0) = v1) | ~ $i(v0) | ~ % 235.43/38.05 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v1) | % 235.43/38.05 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0)) & ! [v0: % 235.43/38.05 $i] : ! [v1: $i] : ( ~ (c_Int_OBit1(v0) = v1) | ~ $i(v0) | ~ % 235.43/38.05 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0) | % 235.43/38.05 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v1)) % 235.43/38.05 % 235.43/38.05 (fact_rel__simps_I5_J) % 235.43/38.06 $i(tc_Int_Oint) & $i(c_Int_OPls) & ! [v0: $i] : ! [v1: $i] : ( ~ % 235.43/38.06 (c_Int_OBit1(v0) = v1) | ~ $i(v0) | ~ % 235.43/38.06 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0) | % 235.43/38.06 c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v1)) & ! [v0: $i] : % 235.43/38.06 ! [v1: $i] : ( ~ (c_Int_OBit1(v0) = v1) | ~ $i(v0) | ~ % 235.43/38.06 c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v1) | % 235.43/38.06 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0)) % 235.43/38.06 % 235.43/38.06 (fact_semiring__norm_I110_J) % 235.43/38.06 $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! % 235.43/38.06 [v1: $i] : ! [v2: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) % 235.43/38.06 | ~ $i(v1) | ~ class_Int_Onumber__ring(v1) | % 235.43/38.06 (c_Groups_Oone__class_Oone(v1) = v2 & $i(v2)))) % 235.43/38.06 % 235.43/38.06 (fact_semiring__norm_I113_J) % 235.43/38.06 $i(c_Int_OPls) & $i(tc_Nat_Onat) & ? [v0: $i] : % 235.43/38.06 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OPls) = v0 & % 235.43/38.06 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)) % 235.43/38.06 % 235.43/38.06 (fact_succ__Bit1) % 235.43/38.06 ! [v0: $i] : ! [v1: $i] : ( ~ (c_Int_Osucc(v0) = v1) | ~ $i(v0) | ? [v2: % 235.43/38.06 $i] : ? [v3: $i] : (c_Int_Osucc(v2) = v3 & c_Int_OBit1(v0) = v2 & % 235.43/38.06 c_Int_OBit0(v1) = v3 & $i(v3) & $i(v2))) % 235.43/38.06 % 235.43/38.06 (fact_succ__Pls) % 235.43/38.06 $i(c_Int_OPls) & ? [v0: $i] : (c_Int_Osucc(c_Int_OPls) = v0 & % 235.43/38.06 c_Int_OBit1(c_Int_OPls) = v0 & $i(v0)) % 235.43/38.06 % 235.43/38.06 (fact_succ__def) % 235.43/38.06 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & % 235.43/38.06 $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ % 235.43/38.06 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~ $i(v1) | % 235.43/38.06 (c_Int_Osucc(v1) = v2 & $i(v2)))) % 235.43/38.06 % 235.43/38.06 (fact_sum__power2__eq__zero__iff) % 235.43/38.06 $i(c_Int_OPls) & $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 235.43/38.06 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.06 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) & % 235.43/38.06 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] % 235.43/38.06 : ! [v8: $i] : ( ~ (c_Power_Opower__class_Opower(v5, v4, v2) = v6) | ~ % 235.43/38.06 (c_Power_Opower__class_Opower(v5, v3, v2) = v7) | ~ % 235.43/38.06 (c_Groups_Oplus__class_Oplus(v5, v6, v7) = v8) | ~ $i(v5) | ~ $i(v4) | % 235.43/38.06 ~ $i(v3) | ~ class_Rings_Olinordered__idom(v5) | ? [v9: $i] : % 235.43/38.06 (c_Groups_Ozero__class_Ozero(v5) = v9 & $i(v9) & ( ~ (v9 = v8) | (v8 = v3 % 235.43/38.06 & v4 = v3)) & ( ~ (v9 = v3) | ~ (v4 = v3) | v8 = v3)))) % 235.43/38.06 % 235.43/38.06 (fact_sum__power2__ge__zero) % 235.43/38.06 $i(c_Int_OPls) & $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 235.43/38.06 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.06 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) & % 235.43/38.06 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] % 235.43/38.06 : ! [v8: $i] : ( ~ (c_Power_Opower__class_Opower(v5, v4, v2) = v6) | ~ % 235.43/38.06 (c_Power_Opower__class_Opower(v5, v3, v2) = v7) | ~ % 235.43/38.06 (c_Groups_Oplus__class_Oplus(v5, v6, v7) = v8) | ~ $i(v5) | ~ $i(v4) | % 235.43/38.06 ~ $i(v3) | ~ class_Rings_Olinordered__idom(v5) | ? [v9: $i] : % 235.43/38.06 (c_Groups_Ozero__class_Ozero(v5) = v9 & $i(v9) & % 235.43/38.06 c_Orderings_Oord__class_Oless__eq(v5, v9, v8)))) % 235.43/38.06 % 235.43/38.06 (fact_sum__power2__gt__zero__iff) % 235.43/38.06 $i(c_Int_OPls) & $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 235.43/38.06 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.06 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) & % 235.43/38.06 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] % 235.43/38.06 : ! [v8: $i] : ( ~ (c_Power_Opower__class_Opower(v5, v4, v2) = v6) | ~ % 235.43/38.06 (c_Power_Opower__class_Opower(v5, v3, v2) = v7) | ~ % 235.43/38.06 (c_Groups_Oplus__class_Oplus(v5, v6, v7) = v8) | ~ $i(v5) | ~ $i(v4) | % 235.43/38.06 ~ $i(v3) | ~ class_Rings_Olinordered__idom(v5) | ? [v9: $i] : % 235.43/38.06 (c_Groups_Ozero__class_Ozero(v5) = v9 & $i(v9) & ( ~ (v9 = v3) | ~ (v4 = % 235.43/38.06 v3) | ~ c_Orderings_Oord__class_Oless(v5, v3, v8)) & % 235.43/38.06 (c_Orderings_Oord__class_Oless(v5, v9, v8) | (v9 = v3 & v4 = v3))))) % 235.43/38.06 % 235.43/38.06 (fact_sum__power2__le__zero__iff) % 235.43/38.06 $i(c_Int_OPls) & $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 235.43/38.06 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.06 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) & % 235.43/38.06 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] % 235.43/38.06 : ! [v8: $i] : ( ~ (c_Power_Opower__class_Opower(v5, v4, v2) = v6) | ~ % 235.43/38.06 (c_Power_Opower__class_Opower(v5, v3, v2) = v7) | ~ % 235.43/38.06 (c_Groups_Oplus__class_Oplus(v5, v6, v7) = v8) | ~ $i(v5) | ~ $i(v4) | % 235.43/38.06 ~ $i(v3) | ~ class_Rings_Olinordered__idom(v5) | ? [v9: $i] : % 235.43/38.06 (c_Groups_Ozero__class_Ozero(v5) = v9 & $i(v9) & ( ~ (v9 = v3) | ~ (v4 = % 235.43/38.06 v3) | c_Orderings_Oord__class_Oless__eq(v5, v8, v3)) & ( ~ % 235.43/38.06 c_Orderings_Oord__class_Oless__eq(v5, v8, v9) | (v9 = v3 & v4 = % 235.43/38.06 v3))))) % 235.43/38.06 % 235.43/38.06 (fact_tsub__def) % 235.43/38.06 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 % 235.43/38.06 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~ % 235.43/38.06 (c_Nat__Transfer_Otsub(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | % 235.43/38.06 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v1)) & ! [v1: $i] : ! % 235.43/38.06 [v2: $i] : ! [v3: $i] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v1, % 235.43/38.06 v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ % 235.43/38.06 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v1) | % 235.43/38.06 (c_Nat__Transfer_Otsub(v1, v2) = v3 & $i(v3)))) % 235.43/38.06 % 235.43/38.06 (fact_two__realpow__ge__one) % 235.43/38.06 $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: % 235.43/38.06 $i] : ? [v3: $i] : (c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 & % 235.43/38.06 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 & % 235.43/38.06 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v3) & $i(v2) & $i(v1) % 235.43/38.06 & $i(v0) & ! [v4: $i] : ! [v5: $i] : ( ~ % 235.43/38.06 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v3, v4) = v5) | ~ $i(v4) % 235.43/38.06 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v5))) % 235.43/38.06 % 235.43/38.06 (fact_two__realpow__gt) % 235.43/38.06 $i(c_Int_OPls) & $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? % 235.43/38.06 [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 % 235.43/38.06 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2) & % 235.43/38.06 $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~ % 235.43/38.06 (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v2, v3) = v4) | ~ $i(v3) % 235.43/38.06 | ? [v5: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v3) = v5 & $i(v5) & % 235.43/38.06 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v4)))) % 235.43/38.06 % 235.43/38.06 (fact_zabs__less__one__iff) % 235.43/38.06 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] : % 235.43/38.06 (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & % 235.43/38.06 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v1 & $i(v1) & $i(v0) & ! [v2: % 235.43/38.06 $i] : ! [v3: $i] : (v2 = v1 | ~ (c_Groups_Oabs__class_Oabs(tc_Int_Oint, % 235.43/38.06 v2) = v3) | ~ $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 235.43/38.06 v3, v0)) & ! [v2: $i] : ( ~ (c_Groups_Oabs__class_Oabs(tc_Int_Oint, v1) % 235.43/38.06 = v2) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0))) % 235.43/38.06 % 235.43/38.06 (fact_zadd__0) % 235.43/38.06 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 % 235.43/38.06 & $i(v0) & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~ % 235.43/38.06 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v1) = v2) | ~ $i(v1))) % 235.43/38.06 % 235.43/38.06 (fact_zadd__0__right) % 235.43/38.06 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 % 235.43/38.06 & $i(v0) & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~ % 235.43/38.06 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~ $i(v1))) % 235.43/38.06 % 235.43/38.06 (fact_zdiv__eq__0__iff) % 235.43/38.07 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 % 235.43/38.07 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~ % 235.43/38.07 (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v2, v1) = v3) | ~ $i(v2) | ~ % 235.43/38.07 $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v0) | ~ % 235.43/38.07 c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2)) & ! [v1: $i] : ! % 235.43/38.07 [v2: $i] : ! [v3: $i] : (v3 = v0 | ~ % 235.43/38.07 (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v2, v1) = v3) | ~ $i(v2) | ~ % 235.43/38.07 $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) | ~ % 235.43/38.07 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1)) & ! [v1: $i] : ! % 235.43/38.07 [v2: $i] : (v2 = v0 | ~ (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v1, v0) = % 235.43/38.07 v2) | ~ $i(v1)) & ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 235.43/38.07 (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v2, v1) = v0) | ~ $i(v2) | ~ % 235.43/38.07 $i(v1) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v0) | % 235.43/38.07 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2)) & ! [v1: $i] : ! % 235.43/38.07 [v2: $i] : (v1 = v0 | ~ (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v2, v1) = % 235.43/38.07 v0) | ~ $i(v2) | ~ $i(v1) | % 235.43/38.07 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v0) | % 235.43/38.07 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1)) & ! [v1: $i] : ! % 235.43/38.07 [v2: $i] : (v1 = v0 | ~ (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v2, v1) = % 235.43/38.07 v0) | ~ $i(v2) | ~ $i(v1) | % 235.43/38.07 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) | % 235.43/38.07 c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2)) & ! [v1: $i] : ! % 235.43/38.07 [v2: $i] : (v1 = v0 | ~ (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v2, v1) = % 235.43/38.07 v0) | ~ $i(v2) | ~ $i(v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint, % 235.43/38.07 v2, v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2))) % 235.43/38.07 % 235.43/38.07 (fact_zdiv__mono1) % 235.43/38.07 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 % 235.43/38.07 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 235.43/38.07 $i] : ( ~ (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v3, v1) = v4) | ~ % 235.43/38.07 (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v2, v1) = v5) | ~ $i(v3) | ~ % 235.43/38.07 $i(v2) | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, % 235.43/38.07 v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1) | % 235.43/38.07 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v4, v5))) % 235.43/38.07 % 235.43/38.07 (fact_zdiv__mono1__neg) % 235.43/38.07 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 % 235.43/38.07 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 235.43/38.07 $i] : ( ~ (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v3, v1) = v5) | ~ % 235.43/38.07 (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v2, v1) = v4) | ~ $i(v3) | ~ % 235.43/38.07 $i(v2) | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, % 235.43/38.07 v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | % 235.43/38.07 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v4, v5))) % 235.43/38.07 % 235.43/38.07 (fact_zdiv__mono2) % 235.43/38.07 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 % 235.43/38.07 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 235.43/38.07 $i] : ( ~ (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v3, v2) = v5) | ~ % 235.43/38.07 (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v3, v1) = v4) | ~ $i(v3) | ~ % 235.43/38.07 $i(v2) | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, % 235.43/38.07 v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3) | ~ % 235.43/38.07 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v2) | % 235.43/38.07 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v4, v5))) % 235.43/38.07 % 235.43/38.07 (fact_zdiv__mono2__neg) % 235.43/38.07 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 % 235.43/38.07 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 235.43/38.07 $i] : ( ~ (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v3, v2) = v4) | ~ % 235.43/38.07 (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v3, v1) = v5) | ~ $i(v3) | ~ % 235.43/38.07 $i(v2) | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, % 235.43/38.07 v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v0) | ~ % 235.43/38.07 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v2) | % 235.43/38.07 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v4, v5))) % 235.43/38.07 % 235.43/38.07 (fact_zdiv__number__of__Bit1) % 235.43/38.07 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] : % 235.43/38.07 (c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 & % 235.43/38.07 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0) & ! [v2: % 235.43/38.07 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] % 235.43/38.07 : ! [v8: $i] : ( ~ (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v5, v7) = v8) | % 235.43/38.07 ~ (c_Int_OBit1(v2) = v4) | ~ (c_Int_OBit0(v3) = v6) | ~ % 235.43/38.07 (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v6) = v7) | ~ % 235.43/38.07 (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v4) = v5) | ~ $i(v3) | ~ % 235.43/38.07 $i(v2) | ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : % 235.43/38.07 (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v3) = v9 & $i(v9) & ( ~ % 235.43/38.07 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v9) | (v11 = v8 & % 235.43/38.07 c_Divides_Odiv__class_Odiv(tc_Int_Oint, v10, v9) = v8 & % 235.43/38.07 c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v10 & $i(v10) & % 235.43/38.07 $i(v8))))) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : % 235.43/38.07 ! [v6: $i] : ! [v7: $i] : ( ~ (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v6, % 235.43/38.07 v4) = v7) | ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v3) = % 235.43/38.07 v4) | ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v5) | ~ % 235.43/38.07 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v5, v1) = v6) | ~ $i(v3) | ~ % 235.43/38.07 $i(v2) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v4) | ? [v8: % 235.43/38.07 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : % 235.43/38.07 (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v9, v11) = v7 & c_Int_OBit1(v2) = % 235.43/38.07 v8 & c_Int_OBit0(v3) = v10 & % 235.43/38.07 c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v10) = v11 & % 235.43/38.07 c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v8) = v9 & $i(v11) & % 235.43/38.07 $i(v10) & $i(v9) & $i(v8) & $i(v7)))) % 235.43/38.07 % 235.43/38.07 (fact_zdiv__self) % 235.43/38.07 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] : % 235.43/38.07 (c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 & % 235.43/38.07 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0) & ! [v2: % 235.43/38.07 $i] : ! [v3: $i] : (v3 = v1 | v2 = v0 | ~ % 235.43/38.07 (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v2, v2) = v3) | ~ $i(v2))) % 235.43/38.07 % 235.43/38.07 (fact_zdiv__zero) % 235.43/38.07 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 % 235.43/38.07 & $i(v0) & ! [v1: $i] : ! [v2: $i] : (v2 = v0 | ~ % 235.43/38.07 (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v0, v1) = v2) | ~ $i(v1))) % 235.43/38.07 % 235.43/38.07 (fact_zero__eq__power2) % 235.43/38.07 $i(c_Int_OPls) & $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 235.43/38.07 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.07 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) & % 235.43/38.07 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ % 235.43/38.07 (c_Power_Opower__class_Opower(v4, v3, v2) = v5) | ~ $i(v4) | ~ $i(v3) | % 235.43/38.07 ~ class_Rings_Oring__1__no__zero__divisors(v4) | ? [v6: $i] : % 235.43/38.07 (c_Groups_Ozero__class_Ozero(v4) = v6 & $i(v6) & ( ~ (v6 = v5) | v5 = v3) % 235.43/38.07 & ( ~ (v6 = v3) | v5 = v3)))) % 235.43/38.07 % 235.43/38.07 (fact_zero__is__num__zero) % 235.43/38.07 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : % 235.43/38.07 (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls) = v0 & % 235.43/38.07 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)) % 235.43/38.07 % 235.43/38.07 (fact_zero__le__natceiling) % 235.43/38.07 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 % 235.43/38.07 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (c_RComplete_Onatceiling(v1) = % 235.43/38.07 v2) | ~ $i(v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, % 235.43/38.07 v2))) % 235.43/38.07 % 235.43/38.07 (fact_zero__le__natfloor) % 235.43/38.07 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 % 235.43/38.07 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (c_RComplete_Onatfloor(v1) = v2) % 235.43/38.07 | ~ $i(v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v2))) % 235.43/38.07 % 235.43/38.07 (fact_zero__le__power2) % 235.43/38.07 $i(c_Int_OPls) & $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 235.43/38.07 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.07 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) & % 235.43/38.07 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ % 235.43/38.07 (c_Power_Opower__class_Opower(v4, v3, v2) = v5) | ~ $i(v4) | ~ $i(v3) | % 235.43/38.07 ~ class_Rings_Olinordered__idom(v4) | ? [v6: $i] : % 235.43/38.07 (c_Groups_Ozero__class_Ozero(v4) = v6 & $i(v6) & % 235.43/38.07 c_Orderings_Oord__class_Oless__eq(v4, v6, v5)))) % 235.43/38.07 % 235.43/38.07 (fact_zero__le__zpower__abs) % 235.43/38.07 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 % 235.43/38.07 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 235.43/38.07 (c_Power_Opower__class_Opower(tc_Int_Oint, v3, v1) = v4) | ~ % 235.43/38.07 (c_Groups_Oabs__class_Oabs(tc_Int_Oint, v2) = v3) | ~ $i(v2) | ~ $i(v1) % 235.43/38.07 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v4))) % 235.43/38.07 % 235.43/38.07 (fact_zero__less__diff) % 235.43/38.07 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 % 235.43/38.07 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.07 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v3) | ~ $i(v2) | ~ % 235.43/38.07 $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2) | % 235.43/38.07 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3)) & ! [v1: $i] : ! % 235.43/38.07 [v2: $i] : ! [v3: $i] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, % 235.43/38.07 v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ % 235.43/38.07 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) | % 235.43/38.07 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2))) % 235.43/38.07 % 235.43/38.07 (fact_zero__less__power2) % 235.43/38.07 $i(c_Int_OPls) & $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 235.43/38.07 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.07 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) & % 235.43/38.07 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ % 235.43/38.07 (c_Power_Opower__class_Opower(v4, v3, v2) = v5) | ~ $i(v4) | ~ $i(v3) | % 235.43/38.07 ~ class_Rings_Olinordered__idom(v4) | ? [v6: $i] : % 235.43/38.07 (c_Groups_Ozero__class_Ozero(v4) = v6 & $i(v6) & ( ~ (v6 = v3) | ~ % 235.43/38.07 c_Orderings_Oord__class_Oless(v4, v3, v5)) & (v6 = v3 | % 235.43/38.07 c_Orderings_Oord__class_Oless(v4, v6, v5))))) % 235.43/38.07 % 235.43/38.07 (fact_zero__less__power__nat__eq) % 235.43/38.07 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 % 235.43/38.07 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 235.43/38.07 (c_Power_Opower__class_Opower(tc_Nat_Onat, v2, v1) = v3) | ~ $i(v2) | ~ % 235.43/38.07 $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) | % 235.43/38.07 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2)) & ! [v1: $i] : ! % 235.43/38.07 [v2: $i] : ! [v3: $i] : ( ~ (c_Power_Opower__class_Opower(tc_Nat_Onat, v2, % 235.43/38.07 v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ % 235.43/38.07 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) | % 235.43/38.07 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3)) & ! [v1: $i] : ! % 235.43/38.07 [v2: $i] : ( ~ (c_Power_Opower__class_Opower(tc_Nat_Onat, v1, v0) = v2) | ~ % 235.43/38.07 $i(v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2))) % 235.43/38.07 % 235.43/38.07 (fact_zero__less__power__nat__eq__number__of) % 235.43/38.07 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 % 235.43/38.07 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v3 = v0 % 235.43/38.07 | ~ (c_Power_Opower__class_Opower(tc_Nat_Onat, v2, v3) = v4) | ~ % 235.43/38.07 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v3) | ~ $i(v2) | ~ % 235.43/38.07 $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v4) | % 235.43/38.07 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2)) & ! [v1: $i] : ! % 235.43/38.07 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 235.43/38.07 (c_Power_Opower__class_Opower(tc_Nat_Onat, v2, v3) = v4) | ~ % 235.43/38.07 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v3) | ~ $i(v2) | ~ % 235.43/38.07 $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) | % 235.43/38.07 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v4)) & ! [v1: $i] : ! % 235.43/38.07 [v2: $i] : ! [v3: $i] : ( ~ (c_Power_Opower__class_Opower(tc_Nat_Onat, v2, % 235.43/38.07 v0) = v3) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = % 235.43/38.07 v0) | ~ $i(v2) | ~ $i(v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, % 235.43/38.07 v0, v3))) % 235.43/38.07 % 235.43/38.07 (fact_zero__less__zpower__abs__iff) % 235.43/38.08 $i(tc_Int_Oint) & $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : % 235.43/38.08 (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & % 235.43/38.08 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 & $i(v1) & $i(v0) & ! [v2: % 235.43/38.08 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v3 = v0 | ~ % 235.43/38.08 (c_Power_Opower__class_Opower(tc_Int_Oint, v4, v2) = v5) | ~ % 235.43/38.08 (c_Groups_Oabs__class_Oabs(tc_Int_Oint, v3) = v4) | ~ $i(v3) | ~ $i(v2) % 235.43/38.08 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v5)) & ! [v2: $i] : ! % 235.43/38.08 [v3: $i] : ! [v4: $i] : (v2 = v1 | ~ % 235.43/38.08 (c_Power_Opower__class_Opower(tc_Int_Oint, v3, v2) = v4) | ~ % 235.43/38.08 (c_Groups_Oabs__class_Oabs(tc_Int_Oint, v0) = v3) | ~ $i(v2) | ~ % 235.43/38.08 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v4)) & ! [v2: $i] : ! % 235.43/38.08 [v3: $i] : ! [v4: $i] : ( ~ (c_Power_Opower__class_Opower(tc_Int_Oint, v3, % 235.43/38.08 v1) = v4) | ~ (c_Groups_Oabs__class_Oabs(tc_Int_Oint, v2) = v3) | ~ % 235.43/38.08 $i(v2) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v4))) % 235.43/38.08 % 235.43/38.08 (fact_zero__power2) % 235.43/38.08 $i(c_Int_OPls) & $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 235.43/38.08 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.08 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) & % 235.43/38.08 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 = v4 | ~ % 235.43/38.08 (c_Power_Opower__class_Opower(v3, v4, v2) = v5) | ~ % 235.43/38.08 (c_Groups_Ozero__class_Ozero(v3) = v4) | ~ $i(v3) | ~ % 235.43/38.08 class_Rings_Osemiring__1(v3))) % 235.43/38.08 % 235.43/38.08 (fact_zle__add1__eq__le) % 235.43/38.08 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & % 235.43/38.08 $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.08 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v3) | ~ $i(v2) | ~ % 235.43/38.08 $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v1) | % 235.43/38.08 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v3)) & ! [v1: $i] : ! % 235.43/38.08 [v2: $i] : ! [v3: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, % 235.43/38.08 v0) = v3) | ~ $i(v2) | ~ $i(v1) | ~ % 235.43/38.08 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v3) | % 235.43/38.08 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v1))) % 235.43/38.08 % 235.43/38.08 (fact_zle__diff1__eq) % 235.43/38.08 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & % 235.43/38.08 $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.08 (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v1, v0) = v3) | ~ $i(v2) | ~ % 235.43/38.08 $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v3) | % 235.43/38.08 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1)) & ! [v1: $i] : ! % 235.43/38.08 [v2: $i] : ! [v3: $i] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v1, % 235.43/38.08 v0) = v3) | ~ $i(v2) | ~ $i(v1) | ~ % 235.43/38.08 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) | % 235.43/38.08 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v3))) % 235.43/38.08 % 235.43/38.08 (fact_zless__add1__eq) % 235.43/38.08 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & % 235.43/38.08 $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v2 = v1 | ~ % 235.43/38.08 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v3) | ~ $i(v2) | ~ % 235.43/38.08 $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v3) | % 235.43/38.08 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1)) & ! [v1: $i] : ! % 235.43/38.08 [v2: $i] : ! [v3: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, % 235.43/38.08 v0) = v3) | ~ $i(v2) | ~ $i(v1) | ~ % 235.43/38.08 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) | % 235.43/38.08 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v3)) & ! [v1: $i] : ! % 235.43/38.08 [v2: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~ % 235.43/38.08 $i(v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2))) % 235.43/38.08 % 235.43/38.08 (fact_zless__imp__add1__zle) % 235.43/38.08 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & % 235.43/38.08 $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.08 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v0) = v3) | ~ $i(v2) | ~ % 235.43/38.08 $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) | % 235.43/38.08 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, v1))) % 235.43/38.08 % 235.43/38.08 (fact_zmult__1) % 235.43/38.08 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & % 235.43/38.08 $i(v0) & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~ % 235.43/38.08 (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v0, v1) = v2) | ~ $i(v1))) % 235.43/38.08 % 235.43/38.08 (fact_zmult__1__right) % 235.43/38.08 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & % 235.43/38.08 $i(v0) & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~ % 235.43/38.08 (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v1, v0) = v2) | ~ $i(v1))) % 235.43/38.08 % 235.43/38.08 (fact_zmult__zless__mono2) % 235.43/38.08 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 % 235.43/38.08 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 235.43/38.08 $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v1, v3) = v4) | ~ % 235.43/38.08 (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v1, v2) = v5) | ~ $i(v3) | ~ % 235.43/38.08 $i(v2) | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v2) % 235.43/38.08 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1) | % 235.43/38.08 c_Orderings_Oord__class_Oless(tc_Int_Oint, v4, v5))) % 235.43/38.08 % 235.43/38.08 (function-axioms) % 235.43/38.08 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 235.43/38.08 $i] : ! [v6: $i] : (v1 = v0 | ~ (c_Fun_Ocomp(v6, v5, v4, v3, v2) = v1) | % 235.43/38.08 ~ (c_Fun_Ocomp(v6, v5, v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! % 235.43/38.08 [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ % 235.43/38.08 (c_Groups_Otimes__class_Otimes(v4, v3, v2) = v1) | ~ % 235.43/38.08 (c_Groups_Otimes__class_Otimes(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: % 235.43/38.08 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ % 235.43/38.08 (c_Power_Opower__class_Opower(v4, v3, v2) = v1) | ~ % 235.43/38.08 (c_Power_Opower__class_Opower(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] % 235.43/38.08 : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ % 235.43/38.08 (c_Divides_Odiv__class_Odiv(v4, v3, v2) = v1) | ~ % 235.43/38.08 (c_Divides_Odiv__class_Odiv(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : % 235.43/38.08 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ % 235.43/38.08 (c_Rings_Oinverse__class_Odivide(v4, v3, v2) = v1) | ~ % 235.43/38.08 (c_Rings_Oinverse__class_Odivide(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: % 235.43/38.08 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ % 235.43/38.08 (c_Complex_Ocomplex_Ocomplex__rec(v4, v3, v2) = v1) | ~ % 235.43/38.08 (c_Complex_Ocomplex_Ocomplex__rec(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: % 235.43/38.08 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ % 235.43/38.08 (c_Complex_Ocomplex_Ocomplex__case(v4, v3, v2) = v1) | ~ % 235.43/38.08 (c_Complex_Ocomplex_Ocomplex__case(v4, v3, v2) = v0)) & ! [v0: $i] : ! % 235.43/38.08 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ % 235.43/38.08 (c_Groups_Oplus__class_Oplus(v4, v3, v2) = v1) | ~ % 235.43/38.08 (c_Groups_Oplus__class_Oplus(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] % 235.43/38.08 : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ % 235.43/38.08 (c_Groups_Ominus__class_Ominus(v4, v3, v2) = v1) | ~ % 235.43/38.08 (c_Groups_Ominus__class_Ominus(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: % 235.43/38.08 $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (c_RealDef_Oreal(v3, v2) = % 235.43/38.08 v1) | ~ (c_RealDef_Oreal(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! % 235.43/38.08 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (c_Nat__Transfer_Otsub(v3, v2) = v1) | % 235.43/38.08 ~ (c_Nat__Transfer_Otsub(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! % 235.43/38.08 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (c_Int_Onumber__class_Onumber__of(v3, % 235.43/38.08 v2) = v1) | ~ (c_Int_Onumber__class_Onumber__of(v3, v2) = v0)) & ! % 235.43/38.08 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 235.43/38.08 (c_Groups_Oabs__class_Oabs(v3, v2) = v1) | ~ (c_Groups_Oabs__class_Oabs(v3, % 235.43/38.08 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 % 235.43/38.08 = v0 | ~ (c_Nat_Osize__class_Osize(v3, v2) = v1) | ~ % 235.43/38.08 (c_Nat_Osize__class_Osize(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! % 235.43/38.08 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (tc_fun(v3, v2) = v1) | ~ (tc_fun(v3, % 235.43/38.08 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 % 235.43/38.08 = v0 | ~ (c_Complex_Ocomplex_OComplex(v3, v2) = v1) | ~ % 235.43/38.08 (c_Complex_Ocomplex_OComplex(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! % 235.43/38.08 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (c_RealVector_Onorm__class_Onorm(v3, % 235.43/38.08 v2) = v1) | ~ (c_RealVector_Onorm__class_Onorm(v3, v2) = v0)) & ! [v0: % 235.43/38.08 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP(v3, v2) % 235.43/38.08 = v1) | ~ (hAPP(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] % 235.43/38.08 : (v1 = v0 | ~ (c_NthRoot_Osqrt(v2) = v1) | ~ (c_NthRoot_Osqrt(v2) = v0)) & % 235.43/38.08 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 235.43/38.08 (c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt(v2) = v1) | ~ % 235.43/38.08 (c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt(v2) = v0)) & ! [v0: $i] % 235.43/38.08 : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (c_RComplete_Onatfloor(v2) = v1) | % 235.43/38.08 ~ (c_RComplete_Onatfloor(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 235.43/38.08 $i] : (v1 = v0 | ~ (c_Int_Opred(v2) = v1) | ~ (c_Int_Opred(v2) = v0)) & ! % 235.43/38.08 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (c_Int_Osucc(v2) = v1) | % 235.43/38.08 ~ (c_Int_Osucc(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 235.43/38.08 v0 | ~ (c_RComplete_Onatceiling(v2) = v1) | ~ (c_RComplete_Onatceiling(v2) % 235.43/38.08 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 235.43/38.08 (c_Int_OBit1(v2) = v1) | ~ (c_Int_OBit1(v2) = v0)) & ! [v0: $i] : ! [v1: % 235.43/38.08 $i] : ! [v2: $i] : (v1 = v0 | ~ (c_Int_OBit0(v2) = v1) | ~ % 235.43/38.08 (c_Int_OBit0(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 % 235.43/38.08 | ~ (c_Groups_Oone__class_Oone(v2) = v1) | ~ % 235.43/38.08 (c_Groups_Oone__class_Oone(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 235.43/38.08 $i] : (v1 = v0 | ~ (c_Complex_ORe(v2) = v1) | ~ (c_Complex_ORe(v2) = v0)) % 235.43/38.08 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (c_Complex_OIm(v2) = % 235.43/38.08 v1) | ~ (c_Complex_OIm(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 235.43/38.08 $i] : (v1 = v0 | ~ (c_Complex_Ocomplex_Ocomplex__size(v2) = v1) | ~ % 235.43/38.08 (c_Complex_Ocomplex_Ocomplex__size(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : % 235.43/38.08 ! [v2: $i] : (v1 = v0 | ~ (v_s(v2) = v1) | ~ (v_s(v2) = v0)) & ! [v0: $i] : % 235.43/38.08 ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (c_Groups_Ozero__class_Ozero(v2) = % 235.43/38.08 v1) | ~ (c_Groups_Ozero__class_Ozero(v2) = v0)) % 235.43/38.08 % 235.43/38.08 Further assumptions not needed in the proof: % 235.43/38.08 -------------------------------------------- % 235.43/38.08 arity_Code____Numeral__Ocode____numeral__Divides_Osemiring__div, % 235.43/38.08 arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__add, % 235.43/38.08 arity_Code____Numeral__Ocode____numeral__Groups_Oab__semigroup__mult, % 235.43/38.08 arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__ab__semigroup__add, % 235.43/38.08 arity_Code____Numeral__Ocode____numeral__Groups_Ocancel__semigroup__add, % 235.43/38.08 arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__add, % 235.43/38.08 arity_Code____Numeral__Ocode____numeral__Groups_Ocomm__monoid__mult, % 235.43/38.08 arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__add, % 235.43/38.08 arity_Code____Numeral__Ocode____numeral__Groups_Omonoid__mult, % 235.43/38.08 arity_Code____Numeral__Ocode____numeral__Groups_Oone, % 235.43/38.08 arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add, % 235.43/38.08 arity_Code____Numeral__Ocode____numeral__Groups_Oordered__ab__semigroup__add__imp__le, % 235.43/38.08 arity_Code____Numeral__Ocode____numeral__Groups_Oordered__cancel__ab__semigroup__add, % 235.43/38.08 arity_Code____Numeral__Ocode____numeral__Groups_Oordered__comm__monoid__add, % 235.43/38.08 arity_Code____Numeral__Ocode____numeral__Groups_Ozero, % 235.43/38.08 arity_Code____Numeral__Ocode____numeral__Int_Onumber, % 235.43/38.08 arity_Code____Numeral__Ocode____numeral__Orderings_Olinorder, % 235.43/38.08 arity_Code____Numeral__Ocode____numeral__Orderings_Oord, % 235.43/38.08 arity_Code____Numeral__Ocode____numeral__Orderings_Oorder, % 235.43/38.08 arity_Code____Numeral__Ocode____numeral__Orderings_Opreorder, % 235.43/38.08 arity_Code____Numeral__Ocode____numeral__Power_Opower, % 235.43/38.08 arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring, % 235.43/38.08 arity_Code____Numeral__Ocode____numeral__Rings_Ocomm__semiring__1, % 235.43/38.08 arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__comm__semiring__strict, % 235.43/38.08 arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semidom, % 235.43/38.08 arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring, % 235.43/38.08 arity_Code____Numeral__Ocode____numeral__Rings_Olinordered__semiring__strict, % 235.43/38.08 arity_Code____Numeral__Ocode____numeral__Rings_Omult__zero, % 235.43/38.08 arity_Code____Numeral__Ocode____numeral__Rings_Ono__zero__divisors, % 235.43/38.08 arity_Code____Numeral__Ocode____numeral__Rings_Oordered__cancel__semiring, % 235.43/38.08 arity_Code____Numeral__Ocode____numeral__Rings_Oordered__comm__semiring, % 235.43/38.08 arity_Code____Numeral__Ocode____numeral__Rings_Oordered__semiring, % 235.43/38.08 arity_Code____Numeral__Ocode____numeral__Rings_Osemiring, % 235.43/38.08 arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__0, % 235.43/38.08 arity_Code____Numeral__Ocode____numeral__Rings_Osemiring__1, % 235.43/38.08 arity_Code____Numeral__Ocode____numeral__Rings_Ozero__neq__one, % 235.43/38.09 arity_Complex__Ocomplex__Fields_Ofield, % 235.43/38.09 arity_Complex__Ocomplex__Fields_Ofield__inverse__zero, % 235.43/38.09 arity_Complex__Ocomplex__Groups_Oab__group__add, % 235.43/38.09 arity_Complex__Ocomplex__Groups_Oab__semigroup__add, % 235.43/38.09 arity_Complex__Ocomplex__Groups_Oab__semigroup__mult, % 235.43/38.09 arity_Complex__Ocomplex__Groups_Ocancel__ab__semigroup__add, % 235.43/38.09 arity_Complex__Ocomplex__Groups_Ocancel__semigroup__add, % 235.43/38.09 arity_Complex__Ocomplex__Groups_Ocomm__monoid__add, % 235.43/38.09 arity_Complex__Ocomplex__Groups_Ocomm__monoid__mult, % 235.43/38.09 arity_Complex__Ocomplex__Groups_Ogroup__add, % 235.43/38.09 arity_Complex__Ocomplex__Groups_Omonoid__add, % 235.43/38.09 arity_Complex__Ocomplex__Groups_Omonoid__mult, % 235.43/38.09 arity_Complex__Ocomplex__Groups_Oone, arity_Complex__Ocomplex__Groups_Ozero, % 235.43/38.09 arity_Complex__Ocomplex__Int_Onumber, % 235.43/38.09 arity_Complex__Ocomplex__Int_Onumber__ring, % 235.43/38.09 arity_Complex__Ocomplex__Int_Oring__char__0, % 235.43/38.09 arity_Complex__Ocomplex__Power_Opower, % 235.43/38.09 arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra, % 235.43/38.09 arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1, % 235.43/38.09 arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra, % 235.43/38.09 arity_Complex__Ocomplex__RealVector_Oreal__normed__field, % 235.43/38.09 arity_Complex__Ocomplex__Rings_Ocomm__semiring, % 235.43/38.09 arity_Complex__Ocomplex__Rings_Ocomm__semiring__1, % 235.43/38.09 arity_Complex__Ocomplex__Rings_Odivision__ring, % 235.43/38.09 arity_Complex__Ocomplex__Rings_Odivision__ring__inverse__zero, % 235.43/38.09 arity_Complex__Ocomplex__Rings_Omult__zero, % 235.43/38.09 arity_Complex__Ocomplex__Rings_Ono__zero__divisors, % 235.43/38.09 arity_Complex__Ocomplex__Rings_Oring, arity_Complex__Ocomplex__Rings_Oring__1, % 235.43/38.09 arity_Complex__Ocomplex__Rings_Oring__1__no__zero__divisors, % 235.43/38.09 arity_Complex__Ocomplex__Rings_Oring__no__zero__divisors, % 235.43/38.09 arity_Complex__Ocomplex__Rings_Osemiring, % 235.43/38.09 arity_Complex__Ocomplex__Rings_Osemiring__0, % 235.43/38.09 arity_Complex__Ocomplex__Rings_Osemiring__1, % 235.43/38.09 arity_Complex__Ocomplex__Rings_Ozero__neq__one, % 235.43/38.09 arity_Complex__Ocomplex__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct, % 235.43/38.09 arity_HOL__Obool__Orderings_Oord, arity_HOL__Obool__Orderings_Oorder, % 235.43/38.09 arity_HOL__Obool__Orderings_Opreorder, arity_Int__Oint__Divides_Osemiring__div, % 235.43/38.09 arity_Int__Oint__Groups_Oab__group__add, % 235.43/38.09 arity_Int__Oint__Groups_Oab__semigroup__add, % 235.43/38.09 arity_Int__Oint__Groups_Oab__semigroup__mult, % 235.43/38.09 arity_Int__Oint__Groups_Ocancel__ab__semigroup__add, % 235.43/38.09 arity_Int__Oint__Groups_Ocancel__semigroup__add, % 235.43/38.09 arity_Int__Oint__Groups_Ocomm__monoid__add, % 235.43/38.09 arity_Int__Oint__Groups_Ocomm__monoid__mult, % 235.43/38.09 arity_Int__Oint__Groups_Ogroup__add, % 235.43/38.09 arity_Int__Oint__Groups_Olinordered__ab__group__add, % 235.43/38.09 arity_Int__Oint__Groups_Omonoid__add, arity_Int__Oint__Groups_Omonoid__mult, % 235.43/38.09 arity_Int__Oint__Groups_Oordered__ab__group__add, % 235.43/38.09 arity_Int__Oint__Groups_Oordered__ab__group__add__abs, % 235.43/38.09 arity_Int__Oint__Groups_Oordered__ab__semigroup__add, % 235.43/38.09 arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le, % 235.43/38.09 arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add, % 235.43/38.09 arity_Int__Oint__Groups_Oordered__comm__monoid__add, % 235.43/38.09 arity_Int__Oint__Groups_Ozero, arity_Int__Oint__Int_Onumber, % 235.43/38.09 arity_Int__Oint__Int_Oring__char__0, arity_Int__Oint__Orderings_Olinorder, % 235.43/38.09 arity_Int__Oint__Orderings_Oord, arity_Int__Oint__Orderings_Oorder, % 235.43/38.09 arity_Int__Oint__Orderings_Opreorder, arity_Int__Oint__Power_Opower, % 235.43/38.09 arity_Int__Oint__Rings_Ocomm__semiring, % 235.43/38.09 arity_Int__Oint__Rings_Ocomm__semiring__1, % 235.43/38.09 arity_Int__Oint__Rings_Olinordered__comm__semiring__strict, % 235.43/38.09 arity_Int__Oint__Rings_Olinordered__ring, % 235.43/38.09 arity_Int__Oint__Rings_Olinordered__ring__strict, % 235.43/38.09 arity_Int__Oint__Rings_Olinordered__semiring, % 235.43/38.09 arity_Int__Oint__Rings_Olinordered__semiring__strict, % 235.43/38.09 arity_Int__Oint__Rings_Omult__zero, arity_Int__Oint__Rings_Ono__zero__divisors, % 235.43/38.09 arity_Int__Oint__Rings_Oordered__cancel__semiring, % 235.43/38.09 arity_Int__Oint__Rings_Oordered__comm__semiring, % 235.43/38.09 arity_Int__Oint__Rings_Oordered__ring, % 235.43/38.09 arity_Int__Oint__Rings_Oordered__ring__abs, % 235.43/38.09 arity_Int__Oint__Rings_Oordered__semiring, arity_Int__Oint__Rings_Oring, % 235.43/38.09 arity_Int__Oint__Rings_Oring__1, % 235.43/38.09 arity_Int__Oint__Rings_Oring__1__no__zero__divisors, % 235.43/38.09 arity_Int__Oint__Rings_Oring__no__zero__divisors, % 235.43/38.09 arity_Int__Oint__Rings_Osemiring, arity_Int__Oint__Rings_Osemiring__0, % 235.43/38.09 arity_Int__Oint__Rings_Osemiring__1, arity_Int__Oint__Rings_Ozero__neq__one, % 235.43/38.09 arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct, % 235.43/38.09 arity_Nat__Onat__Divides_Osemiring__div, % 235.43/38.09 arity_Nat__Onat__Groups_Oab__semigroup__add, % 235.43/38.09 arity_Nat__Onat__Groups_Oab__semigroup__mult, % 235.43/38.09 arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add, % 235.43/38.09 arity_Nat__Onat__Groups_Ocancel__semigroup__add, % 235.43/38.09 arity_Nat__Onat__Groups_Ocomm__monoid__add, % 235.43/38.09 arity_Nat__Onat__Groups_Ocomm__monoid__mult, % 235.43/38.09 arity_Nat__Onat__Groups_Omonoid__add, arity_Nat__Onat__Groups_Omonoid__mult, % 235.43/38.09 arity_Nat__Onat__Groups_Oone, % 235.43/38.09 arity_Nat__Onat__Groups_Oordered__ab__semigroup__add, % 235.43/38.09 arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le, % 235.43/38.09 arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add, % 235.43/38.09 arity_Nat__Onat__Groups_Oordered__comm__monoid__add, % 235.43/38.09 arity_Nat__Onat__Groups_Ozero, arity_Nat__Onat__Int_Onumber, % 235.43/38.09 arity_Nat__Onat__Orderings_Olinorder, arity_Nat__Onat__Orderings_Oord, % 235.43/38.09 arity_Nat__Onat__Orderings_Oorder, arity_Nat__Onat__Orderings_Opreorder, % 235.43/38.09 arity_Nat__Onat__Power_Opower, arity_Nat__Onat__Rings_Ocomm__semiring, % 235.43/38.09 arity_Nat__Onat__Rings_Ocomm__semiring__1, % 235.43/38.09 arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict, % 235.43/38.09 arity_Nat__Onat__Rings_Olinordered__semidom, % 235.43/38.09 arity_Nat__Onat__Rings_Olinordered__semiring, % 235.43/38.09 arity_Nat__Onat__Rings_Olinordered__semiring__strict, % 235.43/38.09 arity_Nat__Onat__Rings_Omult__zero, arity_Nat__Onat__Rings_Ono__zero__divisors, % 235.43/38.09 arity_Nat__Onat__Rings_Oordered__cancel__semiring, % 235.43/38.09 arity_Nat__Onat__Rings_Oordered__comm__semiring, % 235.43/38.09 arity_Nat__Onat__Rings_Oordered__semiring, arity_Nat__Onat__Rings_Osemiring, % 235.43/38.09 arity_Nat__Onat__Rings_Osemiring__0, arity_Nat__Onat__Rings_Osemiring__1, % 235.43/38.09 arity_Nat__Onat__Rings_Ozero__neq__one, % 235.43/38.09 arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct, % 235.43/38.09 arity_RealDef__Oreal__Fields_Ofield, % 235.43/38.09 arity_RealDef__Oreal__Fields_Ofield__inverse__zero, % 235.43/38.09 arity_RealDef__Oreal__Fields_Olinordered__field, % 235.43/38.09 arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero, % 235.43/38.09 arity_RealDef__Oreal__Groups_Oab__group__add, % 235.43/38.09 arity_RealDef__Oreal__Groups_Oab__semigroup__add, % 235.43/38.09 arity_RealDef__Oreal__Groups_Oab__semigroup__mult, % 235.43/38.09 arity_RealDef__Oreal__Groups_Ocancel__ab__semigroup__add, % 235.43/38.09 arity_RealDef__Oreal__Groups_Ocancel__semigroup__add, % 235.43/38.09 arity_RealDef__Oreal__Groups_Ocomm__monoid__add, % 235.43/38.09 arity_RealDef__Oreal__Groups_Ocomm__monoid__mult, % 235.43/38.09 arity_RealDef__Oreal__Groups_Ogroup__add, % 235.43/38.09 arity_RealDef__Oreal__Groups_Olinordered__ab__group__add, % 235.43/38.09 arity_RealDef__Oreal__Groups_Omonoid__add, % 235.43/38.09 arity_RealDef__Oreal__Groups_Omonoid__mult, arity_RealDef__Oreal__Groups_Oone, % 235.43/38.09 arity_RealDef__Oreal__Groups_Oordered__ab__group__add, % 235.43/38.09 arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs, % 235.43/38.09 arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add, % 235.43/38.09 arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le, % 235.43/38.09 arity_RealDef__Oreal__Groups_Oordered__cancel__ab__semigroup__add, % 235.43/38.09 arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add, % 235.43/38.09 arity_RealDef__Oreal__Groups_Ozero, arity_RealDef__Oreal__Int_Onumber, % 235.43/38.09 arity_RealDef__Oreal__Int_Onumber__ring, % 235.43/38.09 arity_RealDef__Oreal__Int_Oring__char__0, % 235.43/38.09 arity_RealDef__Oreal__Orderings_Olinorder, arity_RealDef__Oreal__Orderings_Oord, % 235.43/38.09 arity_RealDef__Oreal__Orderings_Oorder, arity_RealDef__Oreal__Power_Opower, % 235.43/38.09 arity_RealDef__Oreal__RealVector_Oreal__normed__algebra, % 235.43/38.09 arity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1, % 235.43/38.09 arity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra, % 235.43/38.09 arity_RealDef__Oreal__RealVector_Oreal__normed__vector, % 235.43/38.09 arity_RealDef__Oreal__Rings_Ocomm__semiring, % 235.43/38.09 arity_RealDef__Oreal__Rings_Odivision__ring, % 235.43/38.09 arity_RealDef__Oreal__Rings_Odivision__ring__inverse__zero, % 235.43/38.09 arity_RealDef__Oreal__Rings_Olinordered__comm__semiring__strict, % 235.43/38.09 arity_RealDef__Oreal__Rings_Olinordered__idom, % 235.43/38.09 arity_RealDef__Oreal__Rings_Olinordered__ring, % 235.43/38.09 arity_RealDef__Oreal__Rings_Olinordered__ring__strict, % 235.43/38.09 arity_RealDef__Oreal__Rings_Olinordered__semidom, % 235.43/38.09 arity_RealDef__Oreal__Rings_Olinordered__semiring, % 235.43/38.09 arity_RealDef__Oreal__Rings_Olinordered__semiring__strict, % 235.43/38.09 arity_RealDef__Oreal__Rings_Omult__zero, % 235.43/38.09 arity_RealDef__Oreal__Rings_Ono__zero__divisors, % 235.43/38.09 arity_RealDef__Oreal__Rings_Oordered__cancel__semiring, % 235.43/38.09 arity_RealDef__Oreal__Rings_Oordered__comm__semiring, % 235.43/38.09 arity_RealDef__Oreal__Rings_Oordered__ring, % 235.43/38.09 arity_RealDef__Oreal__Rings_Oordered__ring__abs, % 235.43/38.09 arity_RealDef__Oreal__Rings_Oordered__semiring, % 235.43/38.09 arity_RealDef__Oreal__Rings_Oring, arity_RealDef__Oreal__Rings_Oring__1, % 235.43/38.09 arity_RealDef__Oreal__Rings_Oring__1__no__zero__divisors, % 235.43/38.09 arity_RealDef__Oreal__Rings_Oring__no__zero__divisors, % 235.43/38.09 arity_RealDef__Oreal__Rings_Osemiring, arity_RealDef__Oreal__Rings_Osemiring__0, % 235.43/38.09 arity_RealDef__Oreal__Rings_Osemiring__1, % 235.43/38.09 arity_RealDef__Oreal__Rings_Ozero__neq__one, % 235.43/38.09 arity_RealDef__Oreal__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct, % 235.43/38.09 arity_fun__Orderings_Oord, arity_fun__Orderings_Oorder, % 235.43/38.09 arity_fun__Orderings_Opreorder, fact_Bit0__Pls, fact_Bit0__def, fact_BseqD, % 235.43/38.09 fact_BseqI, fact_BseqI2_H, fact_Bseq__def, fact_Complex__eq__0, % 235.43/38.09 fact_Complex__eq__1, fact_Complex__eq__i, fact_Complex__eq__number__of, % 235.43/38.09 fact_Deriv_Oadd__diff__add, fact_Im_Oadd, fact_Im_Ozero, % 235.43/38.09 fact_Nat_Odiff__diff__eq, fact_Re_Oadd, fact_Re_Ozero, % 235.43/38.09 fact_ab__semigroup__add__class_Oadd__ac_I1_J, % 235.43/38.09 fact_ab__semigroup__mult__class_Omult__ac_I1_J, fact_abs__add__abs, % 235.43/38.09 fact_abs__add__one__gt__zero, fact_abs__add__one__not__less__self, % 235.43/38.09 fact_abs__diff__less__iff, fact_abs__diff__triangle__ineq, fact_abs__div__pos, % 235.43/38.09 fact_abs__divide, fact_abs__eq__0, fact_abs__eq__mult, fact_abs__ge__self, % 235.43/38.09 fact_abs__ge__zero, fact_abs__idempotent, fact_abs__le__D1, % 235.43/38.09 fact_abs__le__zero__iff, fact_abs__minus__commute, fact_abs__mult, % 235.43/38.09 fact_abs__mult__less, fact_abs__mult__pos, fact_abs__mult__self, % 235.43/38.09 fact_abs__norm__cancel, fact_abs__not__less__zero, fact_abs__of__nonneg, % 235.43/38.09 fact_abs__of__pos, fact_abs__one, fact_abs__real__of__nat__cancel, % 235.43/38.09 fact_abs__triangle__ineq, fact_abs__triangle__ineq2, % 235.43/38.09 fact_abs__triangle__ineq2__sym, fact_abs__triangle__ineq3, % 235.43/38.09 fact_abs__triangle__ineq4, fact_abs__zero, fact_add_Ocomm__neutral, fact_add__0, % 235.43/38.09 fact_add__0__iff, fact_add__0__left, fact_add__0__right, fact_add__Bit0__Bit0, % 235.43/38.09 fact_add__Bit0__Bit1, fact_add__Bit1__Bit0, fact_add__Bit1__Bit1, fact_add__Pls, % 235.43/38.09 fact_add__Pls__right, fact_add__diff__assoc, fact_add__diff__assoc2, % 235.43/38.09 fact_add__diff__cancel, fact_add__diff__inverse, fact_add__divide__distrib, % 235.43/38.09 fact_add__divide__eq__iff, fact_add__frac__eq, fact_add__frac__num, % 235.43/38.09 fact_add__imp__eq, fact_add__increasing, fact_add__increasing2, fact_add__leD1, % 235.43/38.09 fact_add__leD2, fact_add__leE, fact_add__le__cancel__left, % 235.43/38.09 fact_add__le__cancel__right, fact_add__le__imp__le__left, % 235.43/38.09 fact_add__le__imp__le__right, fact_add__le__less__mono, fact_add__le__mono, % 235.43/38.09 fact_add__le__mono1, fact_add__left__cancel, fact_add__left__imp__eq, % 235.43/38.09 fact_add__left__mono, fact_add__lessD1, fact_add__less__cancel__left, % 235.43/38.09 fact_add__less__cancel__right, fact_add__less__imp__less__left, % 235.43/38.09 fact_add__less__imp__less__right, fact_add__less__le__mono, % 235.43/38.09 fact_add__less__mono, fact_add__less__mono1, fact_add__mono, % 235.43/38.09 fact_add__nat__number__of, fact_add__neg__neg, fact_add__neg__nonpos, % 235.43/38.09 fact_add__nonneg__eq__0__iff, fact_add__nonneg__nonneg, fact_add__nonneg__pos, % 235.43/38.09 fact_add__nonpos__neg, fact_add__nonpos__nonpos, fact_add__num__frac, % 235.43/38.09 fact_add__number__of__diff1, fact_add__number__of__eq, % 235.43/38.09 fact_add__number__of__left, fact_add__numeral__0, fact_add__numeral__0__right, % 235.43/38.09 fact_add__pos__nonneg, fact_add__pos__pos, fact_add__right__cancel, % 235.43/38.09 fact_add__right__imp__eq, fact_add__right__mono, fact_add__scale__eq__noteq, % 235.43/38.09 fact_add__strict__increasing, fact_add__strict__increasing2, % 235.43/38.09 fact_add__strict__left__mono, fact_add__strict__mono, % 235.43/38.09 fact_add__strict__right__mono, fact_arith__simps_I32_J, fact_assms, % 235.43/38.09 fact_code__numeral__zero__minus__one, fact_combine__common__factor, % 235.43/38.09 fact_comm__mult__left__mono, fact_comm__mult__strict__left__mono, % 235.43/38.09 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J, % 235.43/38.09 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J, % 235.43/38.09 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J, % 235.43/38.09 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J, % 235.43/38.09 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J, % 235.43/38.09 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J, % 235.43/38.09 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J, % 235.43/38.09 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J, % 235.43/38.09 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J, % 235.43/38.09 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J, % 235.43/38.09 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J, % 235.43/38.09 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J, % 235.43/38.09 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J, % 235.43/38.09 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J, % 235.43/38.09 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J, % 235.43/38.09 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J, % 235.43/38.09 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J, % 235.43/38.09 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J, % 235.43/38.09 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J, % 235.43/38.09 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J, % 235.43/38.09 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J, % 235.43/38.09 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J, % 235.43/38.09 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J, % 235.43/38.09 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J, % 235.43/38.09 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J, % 235.43/38.09 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J, % 235.43/38.09 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J, % 235.43/38.09 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J, % 235.43/38.09 fact_comm__semiring__class_Odistrib, fact_comp__cong, fact_complex_Oinject, % 235.43/38.09 fact_complex_Orecs, fact_complex_Osimps_I2_J, fact_complex__Im__i, % 235.43/38.09 fact_complex__Im__number__of, fact_complex__Im__one, fact_complex__Re__i, % 235.43/38.09 fact_complex__Re__number__of, fact_complex__Re__one, fact_complex__add, % 235.43/38.09 fact_complex__add__def, fact_complex__diff, fact_complex__equality, % 235.43/38.09 fact_complex__i__not__number__of, fact_complex__i__not__one, % 235.43/38.09 fact_complex__i__not__zero, fact_complex__mod__triangle__ineq2, % 235.43/38.09 fact_complex__mod__triangle__sub, fact_complex__one__def, fact_complex__surj, % 235.43/38.09 fact_complex__zero__def, fact_crossproduct__eq, fact_crossproduct__noteq, % 235.43/38.09 fact_decseq__def, fact_diff__0__right, fact_diff__add__assoc, % 235.43/38.09 fact_diff__add__assoc2, fact_diff__add__cancel, fact_diff__add__inverse, % 235.43/38.09 fact_diff__add__inverse2, fact_diff__bin__simps_I10_J, % 235.43/38.09 fact_diff__bin__simps_I1_J, fact_diff__bin__simps_I3_J, % 235.43/38.09 fact_diff__bin__simps_I7_J, fact_diff__bin__simps_I8_J, % 235.43/38.09 fact_diff__bin__simps_I9_J, fact_diff__cancel, fact_diff__cancel2, % 235.43/38.09 fact_diff__commute, fact_diff__diff__cancel, fact_diff__diff__left, % 235.43/38.09 fact_diff__diff__right, fact_diff__divide__distrib, fact_diff__divide__eq__iff, % 235.43/38.09 fact_diff__eq__diff__eq, fact_diff__eq__diff__less, % 235.43/38.09 fact_diff__eq__diff__less__eq, fact_diff__frac__eq, fact_diff__le__mono, % 235.43/38.09 fact_diff__le__mono2, fact_diff__le__self, fact_diff__less__mono, % 235.43/38.09 fact_diff__less__mono2, fact_diff__self, fact_div__0, fact_div__add__self1, % 235.43/38.09 fact_div__add__self2, fact_div__by__0, fact_div__by__1, fact_div__le__dividend, % 235.43/38.09 fact_div__le__mono, fact_div__mult__mult1, fact_div__mult__mult1__if, % 235.43/38.09 fact_div__mult__mult2, fact_div__mult__self1__is__id, fact_div__mult__self2, % 235.43/38.09 fact_div__mult__self2__is__id, fact_div__self, fact_divide_Odiff, % 235.43/38.09 fact_divide_Ozero, fact_divide__1, fact_divide__Numeral0, % 235.43/38.09 fact_divide__add__eq__iff, fact_divide__diff__eq__iff, fact_divide__eq__eq, % 235.43/38.09 fact_divide__eq__eq__number__of, fact_divide__eq__eq__number__of1, % 235.43/38.09 fact_divide__eq__imp, fact_divide__le__0__iff, fact_divide__less__0__iff, % 235.43/38.09 fact_divide__less__eq, fact_divide__neg__neg, fact_divide__neg__pos, % 235.43/38.09 fact_divide__nonneg__neg, fact_divide__nonneg__pos, fact_divide__nonpos__neg, % 235.43/38.09 fact_divide__nonpos__pos, fact_divide__pos__neg, fact_divide__pos__pos, % 235.43/38.09 fact_divide__right__mono, fact_divide__right__mono__neg, fact_divide__self, % 235.43/38.09 fact_divide__self__if, fact_divide__strict__left__mono, % 235.43/38.09 fact_divide__strict__left__mono__neg, fact_divide__strict__right__mono, % 235.43/38.09 fact_divide__strict__right__mono__neg, fact_divide__zero, % 235.43/38.09 fact_divide__zero__left, fact_divisors__zero, % 235.43/38.09 fact_double__add__le__zero__iff__single__add__le__zero, % 235.43/38.09 fact_double__add__less__zero__iff__single__add__less__zero, % 235.43/38.09 fact_double__eq__0__iff, fact_double__zero__sym, fact_ep, fact_eq__add__iff1, % 235.43/38.09 fact_eq__add__iff2, fact_eq__diff__iff, fact_eq__divide__eq, % 235.43/38.09 fact_eq__divide__eq__number__of, fact_eq__divide__eq__number__of1, % 235.43/38.09 fact_eq__divide__imp, fact_eq__iff__diff__eq__0, fact_eq__imp__le, % 235.43/38.09 fact_eq__number__of, fact_even__less__0__iff, fact_expand__complex__eq, % 235.43/38.09 fact_ext, fact_f_I1_J, fact_field__power__not__zero, fact_frac__eq__eq, % 235.43/38.09 fact_frac__le, fact_frac__less, fact_frac__less2, fact_g_I1_J, % 235.43/38.09 fact_ge__natfloor__plus__one__imp__gt, fact_gt__half__sum, fact_i__def, % 235.43/38.09 fact_incseq__def, fact_leD, fact_leI, fact_le__Suc__ex__iff, fact_le__add1, % 235.43/38.09 fact_le__add2, fact_le__add__diff, fact_le__add__diff__inverse, % 235.43/38.09 fact_le__add__diff__inverse2, fact_le__add__iff1, fact_le__add__iff2, % 235.43/38.09 fact_le__antisym, fact_le__diff__conv, fact_le__diff__conv2, fact_le__diff__iff, % 235.43/38.09 fact_le__eq__less__or__eq, fact_le__funD, fact_le__funE, fact_le__fun__def, % 235.43/38.09 fact_le__iff__add, fact_le__iff__diff__le__0, fact_le__iff__pred__less, % 235.43/38.09 fact_le__imp__diff__is__add, fact_le__nat__number__of, fact_le__natfloor, % 235.43/38.09 fact_le__natfloor__eq, fact_le__natfloor__eq__number__of, % 235.43/38.09 fact_le__natfloor__eq__one, fact_le__neq__implies__less, fact_le__number__of, % 235.43/38.09 fact_le__number__of__eq__not__less, fact_le__refl, fact_le__special_I3_J, % 235.43/38.09 fact_le__trans, fact_left__diff__distrib__number__of, % 235.43/38.09 fact_left__distrib__number__of, fact_lemmaCauchy, fact_lemma__MVT, % 235.43/38.09 fact_lemma__interval, fact_lemma__interval__lt, fact_less__1__mult, % 235.43/38.09 fact_less__add__eq__less, fact_less__add__iff1, fact_less__add__iff2, % 235.43/38.09 fact_less__add__one, fact_less__diff__conv, fact_less__diff__iff, % 235.43/38.09 fact_less__divide__eq, fact_less__eq__int__code_I13_J, % 235.43/38.09 fact_less__eq__int__code_I14_J, fact_less__eq__int__code_I15_J, % 235.43/38.09 fact_less__eq__int__code_I16_J, fact_less__eq__number__of__int__code, % 235.43/38.09 fact_less__eq__real__def, fact_less__fun__def, fact_less__half__sum, % 235.43/38.09 fact_less__iff__diff__less__0, fact_less__imp__diff__less, % 235.43/38.09 fact_less__imp__le__nat, fact_less__imp__neq, fact_less__int__code_I13_J, % 235.43/38.09 fact_less__int__code_I14_J, fact_less__int__code_I15_J, % 235.43/38.09 fact_less__int__code_I16_J, fact_less__irrefl__nat, fact_less__le__not__le, % 235.43/38.09 fact_less__natfloor, fact_less__not__refl, fact_less__not__refl2, % 235.43/38.09 fact_less__not__refl3, fact_less__number__of, fact_less__number__of__int__code, % 235.43/38.09 fact_less__or__eq__imp__le, fact_linorder__antisym__conv1, % 235.43/38.09 fact_linorder__antisym__conv2, fact_linorder__antisym__conv3, % 235.43/38.09 fact_linorder__cases, fact_linorder__le__cases, fact_linorder__le__less__linear, % 235.43/38.09 fact_linorder__less__linear, fact_linorder__linear, fact_linorder__neqE, % 235.43/38.09 fact_linorder__neqE__linordered__idom, fact_linorder__neqE__nat, % 235.43/38.09 fact_linorder__neq__iff, fact_linorder__not__le, fact_linorder__not__less, % 235.43/38.09 fact_metric__bound__lemma, fact_mult_Oadd__left, fact_mult_Oadd__right, % 235.43/38.09 fact_mult_Ocomm__neutral, fact_mult_Odiff__left, fact_mult_Odiff__right, % 235.43/38.09 fact_mult_Oprod__diff__prod, fact_mult_Ozero__left, fact_mult_Ozero__right, % 235.43/38.09 fact_mult__1, fact_mult__1__left, fact_mult__1__right, fact_mult__Bit0, % 235.43/38.09 fact_mult__Pls, fact_mult__diff__mult, fact_mult__divide__mult__cancel__left, % 235.43/38.09 fact_mult__divide__mult__cancel__right, fact_mult__eq__0__iff, % 235.43/38.09 fact_mult__imp__div__pos__less, fact_mult__imp__less__div__pos, % 235.43/38.09 fact_mult__le__0__iff, fact_mult__le__cancel__left__neg, % 235.43/38.09 fact_mult__le__cancel__left__pos, fact_mult__le__less__imp__less, % 235.43/38.09 fact_mult__left_Oadd, fact_mult__left_Odiff, fact_mult__left_Ozero, % 235.43/38.09 fact_mult__left__le__imp__le, fact_mult__left__le__one__le, % 235.43/38.09 fact_mult__left__less__imp__less, fact_mult__left__mono, % 235.43/38.09 fact_mult__left__mono__neg, fact_mult__less__cancel__left__disj, % 235.43/38.09 fact_mult__less__cancel__left__neg, fact_mult__less__cancel__left__pos, % 235.43/38.09 fact_mult__less__cancel__right__disj, fact_mult__less__imp__less__left, % 235.43/38.09 fact_mult__less__imp__less__right, fact_mult__less__le__imp__less, % 235.43/38.09 fact_mult__mono, fact_mult__mono_H, fact_mult__neg__neg, fact_mult__neg__pos, % 235.43/38.09 fact_mult__nonneg__nonneg, fact_mult__nonneg__nonpos, % 235.43/38.09 fact_mult__nonneg__nonpos2, fact_mult__nonpos__nonneg, % 235.43/38.09 fact_mult__nonpos__nonpos, fact_mult__number__of__left, fact_mult__pos__neg, % 235.43/38.09 fact_mult__pos__neg2, fact_mult__pos__pos, fact_mult__right_Oadd, % 235.43/38.09 fact_mult__right_Odiff, fact_mult__right_Ozero, fact_mult__right__le__imp__le, % 235.43/38.09 fact_mult__right__le__one__le, fact_mult__right__less__imp__less, % 235.43/38.09 fact_mult__right__mono, fact_mult__right__mono__neg, % 235.43/38.09 fact_mult__strict__left__mono, fact_mult__strict__left__mono__neg, % 235.43/38.09 fact_mult__strict__mono, fact_mult__strict__mono_H, % 235.43/38.09 fact_mult__strict__right__mono, fact_mult__strict__right__mono__neg, % 235.43/38.09 fact_mult__zero__left, fact_mult__zero__right, fact_nN12, % 235.43/38.09 fact_nat__1__add__number__of, fact_nat__add__assoc, fact_nat__add__commute, % 235.43/38.09 fact_nat__add__left__cancel, fact_nat__add__left__cancel__le, % 235.43/38.09 fact_nat__add__left__cancel__less, fact_nat__add__left__commute, % 235.43/38.09 fact_nat__add__right__cancel, fact_nat__le__linear, fact_nat__le__real__less, % 235.43/38.09 fact_nat__less__cases, fact_nat__less__le, fact_nat__less__real__le, % 235.43/38.09 fact_nat__neq__iff, fact_nat__number__of__add__1, % 235.43/38.09 fact_nat__number__of__add__left, fact_natceiling__add, % 235.43/38.09 fact_natceiling__add__number__of, fact_natceiling__add__one, % 235.43/38.09 fact_natceiling__eq, fact_natceiling__le, fact_natceiling__le__eq, % 235.43/38.09 fact_natceiling__le__eq__number__of, fact_natceiling__le__eq__one, % 235.43/38.09 fact_natceiling__mono, fact_natceiling__number__of__eq, fact_natceiling__one, % 235.43/38.09 fact_natceiling__real__of__nat, fact_natceiling__subtract, fact_natfloor__add, % 235.43/38.09 fact_natfloor__add__number__of, fact_natfloor__add__one, fact_natfloor__eq, % 235.43/38.09 fact_natfloor__mono, fact_natfloor__number__of__eq, fact_natfloor__one, % 235.43/38.09 fact_natfloor__power, fact_natfloor__real__of__nat, fact_natfloor__subtract, % 235.43/38.09 fact_neg__divide__less__eq, fact_neg__less__divide__eq, fact_no__zero__divisors, % 235.43/38.09 fact_nonzero__abs__divide, fact_nonzero__divide__eq__eq, % 235.43/38.09 fact_nonzero__eq__divide__eq, fact_nonzero__norm__divide, % 235.43/38.09 fact_nonzero__power__divide, fact_norm__add__less, fact_norm__diff__ineq, % 235.43/38.09 fact_norm__diff__triangle__ineq, fact_norm__divide, fact_norm__eq__zero, % 235.43/38.09 fact_norm__ge__zero, fact_norm__le__zero__iff, fact_norm__mult, % 235.43/38.09 fact_norm__mult__ineq, fact_norm__mult__less, fact_norm__not__less__zero, % 235.43/38.09 fact_norm__number__of, fact_norm__one, fact_norm__power, fact_norm__power__ineq, % 235.43/38.09 fact_norm__triangle__ineq, fact_norm__triangle__ineq2, % 235.43/38.09 fact_norm__triangle__ineq3, fact_norm__triangle__ineq4, fact_norm__zero, % 235.43/38.09 fact_not__add__less1, fact_not__add__less2, fact_not__leE, % 235.43/38.09 fact_not__less__iff__gr__or__eq, fact_not__neg__number__of__Pls, % 235.43/38.09 fact_not__real__of__nat__less__zero, fact_not__real__square__gt__zero, % 235.43/38.09 fact_not__square__less__zero, fact_not__sum__squares__lt__zero, % 235.43/38.09 fact_number__of__Bit0, fact_number__of__Bit1, fact_number__of__Pls, % 235.43/38.09 fact_number__of__add, fact_number__of__diff, fact_number__of__mult, % 235.43/38.09 fact_number__of__reorient, fact_number__of__succ, fact_o__assoc, % 235.43/38.09 fact_o__eq__dest, fact_o__eq__dest__lhs, fact_o__eq__elim, fact_one__le__power, % 235.43/38.09 fact_one__neq__zero, fact_one__reorient, fact_ord__eq__le__trans, % 235.43/38.09 fact_ord__eq__less__trans, fact_ord__le__eq__trans, fact_ord__less__eq__trans, % 235.43/38.09 fact_order__antisym, fact_order__antisym__conv, fact_order__eq__iff, % 235.43/38.09 fact_order__eq__refl, fact_order__le__imp__less__or__eq, fact_order__le__less, % 235.43/38.09 fact_order__le__neq__trans, fact_order__less__asym, fact_order__less__asym_H, % 235.43/38.09 fact_order__less__imp__le, fact_order__less__imp__not__eq, % 235.43/38.09 fact_order__less__imp__not__eq2, fact_order__less__imp__not__less, % 235.43/38.09 fact_order__less__irrefl, fact_order__less__le, fact_order__less__le__trans, % 235.43/38.09 fact_order__less__not__sym, fact_order__less__trans, fact_order__neq__le__trans, % 235.43/38.09 fact_order__refl, fact_order__trans, fact_plus__numeral__code_I9_J, % 235.43/38.09 fact_pos__add__strict, fact_pos__divide__less__eq, fact_pos__less__divide__eq, % 235.43/38.09 fact_power__abs, fact_power__add, fact_power__commutes, fact_power__decreasing, % 235.43/38.09 fact_power__diff, fact_power__divide, fact_power__gt1__lemma, % 235.43/38.09 fact_power__increasing, fact_power__increasing__iff, fact_power__inject__exp, % 235.43/38.09 fact_power__le__imp__le__exp, fact_power__less__imp__less__base, % 235.43/38.09 fact_power__less__imp__less__exp, fact_power__less__power__Suc, % 235.43/38.09 fact_power__mono, fact_power__mult__distrib, fact_power__one, % 235.43/38.09 fact_power__one__over, fact_power__one__right, fact_power__real__of__nat, % 235.43/38.09 fact_power__strict__decreasing, fact_power__strict__increasing, % 235.43/38.09 fact_power__strict__increasing__iff, fact_pred__Bit0, fact_pred__Bit1, % 235.43/38.09 fact_real__0__le__divide__iff, fact_real__add__left__mono, % 235.43/38.09 fact_real__add__mult__distrib, fact_real__divide__square__eq, % 235.43/38.09 fact_real__le__antisym, fact_real__le__eq__diff, fact_real__le__linear, % 235.43/38.09 fact_real__le__refl, fact_real__le__trans, fact_real__less__def, % 235.43/38.09 fact_real__mult__1, fact_real__mult__assoc, fact_real__mult__commute, % 235.43/38.09 fact_real__mult__left__cancel, fact_real__mult__less__iff1, % 235.43/38.09 fact_real__mult__less__mono2, fact_real__mult__order, % 235.43/38.09 fact_real__mult__right__cancel, fact_real__natceiling__ge, % 235.43/38.09 fact_real__natfloor__add__one__gt, fact_real__natfloor__gt__diff__one, % 235.43/38.09 fact_real__natfloor__le, fact_real__norm__def, fact_real__of__nat__1, % 235.43/38.09 fact_real__of__nat__add, fact_real__of__nat__diff, fact_real__of__nat__div2, % 235.43/38.09 fact_real__of__nat__div3, fact_real__of__nat__div4, % 235.43/38.09 fact_real__of__nat__ge__zero, fact_real__of__nat__inject, % 235.43/38.09 fact_real__of__nat__le__iff, fact_real__of__nat__less__iff, % 235.43/38.09 fact_real__of__nat__number__of, fact_real__of__nat__power, % 235.43/38.09 fact_real__sqrt__abs2, fact_real__sqrt__divide, fact_real__sqrt__eq__0__iff, % 235.43/38.09 fact_real__sqrt__eq__1__iff, fact_real__sqrt__eq__iff, % 235.43/38.09 fact_real__sqrt__eq__zero__cancel, fact_real__sqrt__ge__0__iff, % 235.43/38.09 fact_real__sqrt__ge__1__iff, fact_real__sqrt__ge__one, % 235.43/38.09 fact_real__sqrt__ge__zero, fact_real__sqrt__gt__0__iff, % 235.43/38.09 fact_real__sqrt__gt__1__iff, fact_real__sqrt__gt__zero, % 235.43/38.09 fact_real__sqrt__le__0__iff, fact_real__sqrt__le__1__iff, % 235.43/38.09 fact_real__sqrt__le__iff, fact_real__sqrt__le__mono, fact_real__sqrt__less__iff, % 235.43/38.09 fact_real__sqrt__less__mono, fact_real__sqrt__lt__0__iff, % 235.43/38.09 fact_real__sqrt__lt__1__iff, fact_real__sqrt__mult, % 235.43/38.09 fact_real__sqrt__not__eq__zero, fact_real__sqrt__one, fact_real__sqrt__power, % 235.43/38.09 fact_real__sqrt__zero, fact_real__squared__diff__one__factored, % 235.43/38.09 fact_real__two__squares__add__zero__iff, fact_real__zero__not__eq__one, % 235.43/38.09 fact_reals__Archimedean6, fact_rel__simps_I10_J, fact_rel__simps_I12_J, % 235.43/38.09 fact_rel__simps_I14_J, fact_rel__simps_I15_J, fact_rel__simps_I16_J, % 235.43/38.09 fact_rel__simps_I17_J, fact_rel__simps_I19_J, fact_rel__simps_I21_J, % 235.43/38.09 fact_rel__simps_I27_J, fact_rel__simps_I29_J, fact_rel__simps_I2_J, % 235.43/38.09 fact_rel__simps_I31_J, fact_rel__simps_I32_J, fact_rel__simps_I33_J, % 235.43/38.09 fact_rel__simps_I34_J, fact_rel__simps_I38_J, fact_rel__simps_I39_J, % 235.43/38.09 fact_rel__simps_I44_J, fact_rel__simps_I46_J, fact_rel__simps_I48_J, % 235.43/38.09 fact_rel__simps_I49_J, fact_rel__simps_I4_J, fact_rel__simps_I50_J, % 235.43/38.09 fact_rel__simps_I51_J, fact_right__diff__distrib__number__of, % 235.43/38.09 fact_right__distrib__number__of, fact_right__inverse__eq, fact_right__minus__eq, % 235.43/38.09 fact_rp, fact_semiring__norm_I112_J, fact_seq__suble, fact_split__mult__neg__le, % 235.43/38.09 fact_split__mult__pos__le, fact_subseq__def, fact_succ__Bit0, fact_succ__pred, % 235.43/38.09 fact_sum__squares__eq__zero__iff, fact_sum__squares__ge__zero, % 235.43/38.09 fact_sum__squares__gt__zero__iff, fact_sum__squares__le__zero__iff, % 235.43/38.09 fact_termination__basic__simps_I1_J, fact_termination__basic__simps_I2_J, % 235.43/38.09 fact_termination__basic__simps_I3_J, fact_termination__basic__simps_I4_J, % 235.43/38.09 fact_termination__basic__simps_I5_J, fact_th, fact_times__divide__eq__right, % 235.43/38.09 fact_times__divide__times__eq, fact_times__numeral__code_I5_J, % 235.43/38.09 fact_trans__le__add1, fact_trans__le__add2, fact_trans__less__add1, % 235.43/38.09 fact_trans__less__add2, fact_tsub__eq, fact_unimodular__reduce__norm, fact_x, % 235.43/38.09 fact_xt1_I10_J, fact_xt1_I11_J, fact_xt1_I12_J, fact_xt1_I1_J, fact_xt1_I2_J, % 235.43/38.09 fact_xt1_I3_J, fact_xt1_I4_J, fact_xt1_I5_J, fact_xt1_I6_J, fact_xt1_I7_J, % 235.43/38.09 fact_xt1_I8_J, fact_xt1_I9_J, fact_y, fact_zadd__assoc, fact_zadd__commute, % 235.43/38.09 fact_zadd__left__commute, fact_zadd__left__mono, fact_zadd__strict__right__mono, % 235.43/38.09 fact_zadd__zless__mono, fact_zadd__zmult__distrib, fact_zadd__zmult__distrib2, % 235.43/38.09 fact_zdiff__zmult__distrib, fact_zdiff__zmult__distrib2, % 235.43/38.09 fact_zdiv__number__of__Bit0, fact_zero__code__numeral__code, % 235.43/38.09 fact_zero__le__divide__iff, % 235.43/38.09 fact_zero__le__double__add__iff__zero__le__single__add, % 235.43/38.09 fact_zero__le__mult__iff, fact_zero__le__one, fact_zero__le__power, % 235.43/38.09 fact_zero__le__power__abs, fact_zero__le__square, fact_zero__less__abs__iff, % 235.43/38.09 fact_zero__less__divide__iff, % 235.43/38.09 fact_zero__less__double__add__iff__zero__less__single__add, % 235.43/38.09 fact_zero__less__mult__pos, fact_zero__less__mult__pos2, % 235.43/38.09 fact_zero__less__norm__iff, fact_zero__less__one, fact_zero__less__power, % 235.43/38.09 fact_zero__less__two, fact_zero__neq__one, fact_zero__reorient, % 235.43/38.09 fact_zle__antisym, fact_zle__linear, fact_zle__refl, fact_zle__trans, % 235.43/38.09 fact_zless__le, fact_zless__linear, fact_zmult__assoc, fact_zmult__commute, % 235.43/38.09 fact_zpower__zadd__distrib % 235.43/38.09 % 235.43/38.09 Those formulas are unsatisfiable: % 235.43/38.09 --------------------------------- % 235.43/38.09 % 235.43/38.09 Begin of proof % 235.43/38.10 | % 235.43/38.10 | ALPHA: (fact_hs) implies: % 235.43/38.10 | (1) ? [v0: $i] : (c_Fun_Ocomp(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat, % 235.43/38.10 | v_f____, v_ga____) = v0 & $i(v0) & c_SEQ_Osubseq(v0)) % 235.43/38.10 | % 235.43/38.10 | ALPHA: (fact_nN1) implies: % 235.43/38.10 | (2) ? [v0: $i] : (hAPP(v_ga____, v_n____) = v0 & $i(v0) & % 235.43/38.10 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v_N1____, v0)) % 235.43/38.10 | % 235.43/38.10 | ALPHA: (fact_nN2) implies: % 235.43/38.10 | (3) c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v_N2____, v_n____) % 235.43/38.10 | % 235.43/38.10 | ALPHA: (fact__096cmod_A_Is_A0_J_A_060_061_Ar_096) implies: % 235.43/38.10 | (4) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (v_s(v0) = v1 & % 235.43/38.10 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v2 & % 235.43/38.10 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v2) & $i(v1) & % 235.43/38.10 | $i(v0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, % 235.43/38.10 | v_r)) % 235.43/38.10 | % 235.43/38.10 | ALPHA: (fact_complex_Osize_I1_J) implies: % 235.43/38.10 | (5) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) & % 235.43/38.10 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.10 | (c_Complex_Ocomplex_OComplex(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) % 235.43/38.10 | | c_Complex_Ocomplex_Ocomplex__size(v3) = v0)) % 235.43/38.10 | % 235.43/38.10 | ALPHA: (fact_nat__diff__split__asm) implies: % 235.43/38.10 | (6) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) & % 235.43/38.10 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : % 235.43/38.10 | ! [v6: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v6) = % 235.43/38.10 | v2) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = % 235.43/38.10 | v4) | ~ (hAPP(v3, v4) = v5) | ~ $i(v6) | ~ $i(v3) | ~ $i(v2) % 235.43/38.10 | | ~ $i(v1) | ~ hBOOL(v5) | ? [v7: $i] : (hAPP(v3, v6) = v7 & % 235.43/38.10 | $i(v7) & hBOOL(v7))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : % 235.43/38.10 | ! [v4: $i] : ! [v5: $i] : ( ~ % 235.43/38.10 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v4) | ~ % 235.43/38.10 | (hAPP(v3, v4) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 235.43/38.10 | hBOOL(v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | % 235.43/38.10 | ? [v6: $i] : (hAPP(v3, v0) = v6 & $i(v6) & hBOOL(v6))) & ! [v1: % 235.43/38.10 | $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ % 235.43/38.10 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v4) | ~ % 235.43/38.10 | (hAPP(v3, v4) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | hBOOL(v5) % 235.43/38.10 | | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ? [v6: $i] % 235.43/38.10 | : ? [v7: $i] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v6) = % 235.43/38.10 | v2 & hAPP(v3, v6) = v7 & $i(v7) & $i(v6) & ~ hBOOL(v7))) & ! % 235.43/38.10 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( % 235.43/38.10 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v4) | ~ % 235.43/38.10 | (hAPP(v3, v4) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | hBOOL(v5) % 235.43/38.10 | | ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ($i(v7) & % 235.43/38.10 | ((v8 = v2 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v7) = v2 % 235.43/38.10 | & hAPP(v3, v7) = v9 & $i(v9) & ~ hBOOL(v9)) | (hAPP(v3, v0) % 235.43/38.10 | = v6 & $i(v6) & ~ hBOOL(v6)))))) % 235.43/38.10 | % 235.43/38.10 | ALPHA: (fact_add__gr__0) implies: % 235.43/38.10 | (7) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) & % 235.43/38.10 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.10 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ~ $i(v2) % 235.43/38.10 | | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) % 235.43/38.10 | | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) | % 235.43/38.10 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1)) & ! [v1: $i] : % 235.43/38.10 | ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.10 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ~ $i(v2) % 235.43/38.10 | | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) % 235.43/38.10 | | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3)) & ! [v1: $i] % 235.43/38.10 | : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.10 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ~ $i(v2) % 235.43/38.10 | | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) % 235.43/38.10 | | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3))) % 235.43/38.10 | % 235.43/38.10 | ALPHA: (fact_complex_Osize_I2_J) implies: % 235.43/38.10 | (8) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) & % 235.43/38.10 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.10 | (c_Complex_Ocomplex_OComplex(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) % 235.43/38.10 | | c_Nat_Osize__class_Osize(tc_Complex_Ocomplex, v3) = v0)) % 235.43/38.10 | % 235.43/38.10 | ALPHA: (fact_diffs0__imp__equal) implies: % 235.43/38.10 | (9) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) & % 235.43/38.10 | ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~ % 235.43/38.10 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v2) = v0) | ~ % 235.43/38.10 | $i(v2) | ~ $i(v1) | ? [v3: $i] : ( ~ (v3 = v0) & % 235.43/38.10 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v3 & % 235.43/38.10 | $i(v3)))) % 235.43/38.10 | % 235.43/38.10 | ALPHA: (fact_diff__self__eq__0) implies: % 235.43/38.10 | (10) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) % 235.43/38.10 | & ! [v1: $i] : ! [v2: $i] : (v2 = v0 | ~ % 235.43/38.10 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v1) = v2) | ~ % 235.43/38.10 | $i(v1))) % 235.43/38.10 | % 235.43/38.10 | ALPHA: (fact_minus__nat_Odiff__0) implies: % 235.43/38.10 | (11) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) % 235.43/38.10 | & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~ % 235.43/38.10 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v2) | ~ % 235.43/38.10 | $i(v1))) % 235.43/38.10 | % 235.43/38.10 | ALPHA: (fact_diff__0__eq__0) implies: % 235.43/38.10 | (12) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) % 235.43/38.10 | & ! [v1: $i] : ! [v2: $i] : (v2 = v0 | ~ % 235.43/38.10 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v1) = v2) | ~ % 235.43/38.10 | $i(v1))) % 235.43/38.10 | % 235.43/38.10 | ALPHA: (fact_gr0I) implies: % 235.43/38.10 | (13) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) % 235.43/38.10 | & ? [v1: $i] : (v1 = v0 | ~ $i(v1) | % 235.43/38.10 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1))) % 235.43/38.10 | % 235.43/38.10 | ALPHA: (fact_diff__less) implies: % 235.43/38.10 | (14) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) % 235.43/38.10 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.10 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v2) = v3) | ~ % 235.43/38.10 | $i(v2) | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, % 235.43/38.10 | v0, v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) % 235.43/38.10 | | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v1))) % 235.43/38.10 | % 235.43/38.10 | ALPHA: (fact_zero__less__diff) implies: % 235.43/38.10 | (15) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) % 235.43/38.10 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.10 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v3) | ~ % 235.43/38.10 | $i(v2) | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, % 235.43/38.10 | v1, v2) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3)) & % 235.43/38.10 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.10 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v3) | ~ % 235.43/38.10 | $i(v2) | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, % 235.43/38.10 | v0, v3) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2))) % 235.43/38.10 | % 235.43/38.10 | ALPHA: (fact_neq0__conv) implies: % 235.43/38.10 | (16) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) % 235.43/38.10 | & ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v0) & ? [v1: % 235.43/38.10 | $i] : (v1 = v0 | ~ $i(v1) | % 235.43/38.10 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1))) % 235.43/38.10 | % 235.43/38.10 | ALPHA: (fact_not__less0) implies: % 235.43/38.10 | (17) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) % 235.43/38.10 | & ! [v1: $i] : ( ~ $i(v1) | ~ % 235.43/38.10 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0))) % 235.43/38.10 | % 235.43/38.10 | ALPHA: (fact_add__eq__self__zero) implies: % 235.43/38.11 | (18) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) % 235.43/38.11 | & ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 235.43/38.11 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v2) | ~ % 235.43/38.11 | $i(v2) | ~ $i(v1))) % 235.43/38.11 | % 235.43/38.11 | ALPHA: (fact_add__is__0) implies: % 235.43/38.11 | (19) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) % 235.43/38.11 | & ! [v1: $i] : ! [v2: $i] : (v2 = v0 | ~ % 235.43/38.11 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v0) | ~ % 235.43/38.11 | $i(v2) | ~ $i(v1)) & ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 235.43/38.11 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v0) | ~ % 235.43/38.11 | $i(v2) | ~ $i(v1)) & ! [v1: $i] : (v1 = v0 | ~ % 235.43/38.11 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v0) = v1))) % 235.43/38.11 | % 235.43/38.11 | ALPHA: (fact_diff__add__0) implies: % 235.43/38.11 | (20) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) % 235.43/38.11 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v0 | % 235.43/38.11 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ~ % 235.43/38.11 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v3) = v4) | ~ % 235.43/38.11 | $i(v2) | ~ $i(v1))) % 235.43/38.11 | % 235.43/38.11 | ALPHA: (fact_Nat_Oadd__0__right) implies: % 235.43/38.11 | (21) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) % 235.43/38.11 | & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~ % 235.43/38.11 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ~ % 235.43/38.11 | $i(v1))) % 235.43/38.11 | % 235.43/38.11 | ALPHA: (fact_plus__nat_Oadd__0) implies: % 235.43/38.11 | (22) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) % 235.43/38.11 | & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~ % 235.43/38.11 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v2) | ~ % 235.43/38.11 | $i(v1))) % 235.43/38.11 | % 235.43/38.11 | ALPHA: (fact_less__eq__nat_Osimps_I1_J) implies: % 235.43/38.11 | (23) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) % 235.43/38.11 | & ? [v1: $i] : ( ~ $i(v1) | % 235.43/38.11 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v1))) % 235.43/38.11 | % 235.43/38.11 | ALPHA: (fact_le__0__eq) implies: % 235.43/38.11 | (24) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) % 235.43/38.11 | & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v0) & ! [v1: % 235.43/38.11 | $i] : (v1 = v0 | ~ $i(v1) | ~ % 235.43/38.11 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0))) % 235.43/38.11 | % 235.43/38.11 | ALPHA: (fact_diff__is__0__eq) implies: % 235.43/38.11 | (25) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) % 235.43/38.11 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~ % 235.43/38.11 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v3) | ~ % 235.43/38.11 | $i(v2) | ~ $i(v1) | ~ % 235.43/38.11 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1)) & ! [v1: % 235.43/38.11 | $i] : ! [v2: $i] : ( ~ % 235.43/38.11 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v0) | ~ % 235.43/38.11 | $i(v2) | ~ $i(v1) | % 235.43/38.11 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1))) % 235.43/38.11 | % 235.43/38.11 | ALPHA: (fact_diff__is__0__eq_H) implies: % 235.43/38.11 | (26) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) % 235.43/38.11 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~ % 235.43/38.11 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v3) | ~ % 235.43/38.11 | $i(v2) | ~ $i(v1) | ~ % 235.43/38.11 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1))) % 235.43/38.11 | % 235.43/38.11 | ALPHA: (fact__096cmod_A_Is_A_If_A_Ig_An_J_J_A_N_AComplex_Ax_Ay_J_060_061_Aabs_A_IRe_A_Is_A_If_A_Ig_An_J_J_J_A_N_ARe_A_IComplex_Ax_Ay_J_J_A_L_Aabs_A_IIm_A_Is_A_If_A_Ig_An_J_J_J_A_N_AIm_A_IComplex_Ax_Ay_J_J_096) % 235.43/38.11 | implies: % 235.43/38.11 | (27) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 235.43/38.11 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 235.43/38.11 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: % 235.43/38.11 | $i] : (c_Complex_ORe(v3) = v7 & c_Complex_ORe(v2) = v6 & % 235.43/38.11 | c_Complex_OIm(v3) = v11 & c_Complex_OIm(v2) = v10 & % 235.43/38.11 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v12) = v13 & % 235.43/38.11 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v8) = v9 & % 235.43/38.11 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v9, v13) = v14 & % 235.43/38.11 | c_Complex_Ocomplex_OComplex(v_x____, v_y____) = v3 & % 235.43/38.11 | c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v2, v3) = v4 & % 235.43/38.11 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v10, v11) = v12 & % 235.43/38.11 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v6, v7) = v8 & % 235.43/38.11 | v_s(v1) = v2 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, % 235.43/38.11 | v4) = v5 & hAPP(v_ga____, v_n____) = v0 & hAPP(v_f____, v0) = v1 & % 235.43/38.11 | $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & % 235.43/38.11 | $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 235.43/38.11 | $i(v0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, % 235.43/38.11 | v14)) % 235.43/38.11 | % 235.43/38.11 | ALPHA: (fact_abs__Im__le__cmod) implies: % 235.43/38.11 | (28) ! [v0: $i] : ! [v1: $i] : ( ~ % 235.43/38.11 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v0) = v1) | ~ % 235.43/38.11 | $i(v0) | ? [v2: $i] : ? [v3: $i] : (c_Complex_OIm(v0) = v2 & % 235.43/38.11 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v2) = v3 & $i(v3) & % 235.43/38.11 | $i(v2) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, % 235.43/38.11 | v1))) % 235.43/38.11 | % 235.43/38.11 | ALPHA: (fact_abs__Re__le__cmod) implies: % 235.43/38.11 | (29) ! [v0: $i] : ! [v1: $i] : ( ~ % 235.43/38.11 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v0) = v1) | ~ % 235.43/38.11 | $i(v0) | ? [v2: $i] : ? [v3: $i] : (c_Complex_ORe(v0) = v2 & % 235.43/38.11 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v2) = v3 & $i(v3) & % 235.43/38.11 | $i(v2) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, % 235.43/38.11 | v1))) % 235.43/38.11 | % 235.43/38.11 | ALPHA: (fact_complex__Re__le__cmod) implies: % 235.43/38.11 | (30) ! [v0: $i] : ! [v1: $i] : ( ~ % 235.43/38.11 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v0) = v1) | ~ % 235.43/38.11 | $i(v0) | ? [v2: $i] : (c_Complex_ORe(v0) = v2 & $i(v2) & % 235.43/38.11 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1))) % 235.43/38.11 | % 235.43/38.11 | ALPHA: (fact_Im_Odiff) implies: % 235.43/38.11 | (31) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 235.43/38.11 | ( ~ (c_Complex_OIm(v1) = v2) | ~ (c_Complex_OIm(v0) = v3) | ~ % 235.43/38.11 | (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v2, v3) = v4) | ~ % 235.43/38.11 | $i(v1) | ~ $i(v0) | ? [v5: $i] : (c_Complex_OIm(v5) = v4 & % 235.43/38.11 | c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v1, v0) = v5 & % 235.43/38.11 | $i(v5) & $i(v4))) % 235.43/38.11 | % 235.43/38.11 | ALPHA: (fact_Re_Odiff) implies: % 235.43/38.11 | (32) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 235.43/38.11 | ( ~ (c_Complex_ORe(v1) = v2) | ~ (c_Complex_ORe(v0) = v3) | ~ % 235.43/38.11 | (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v2, v3) = v4) | ~ % 235.43/38.11 | $i(v1) | ~ $i(v0) | ? [v5: $i] : (c_Complex_ORe(v5) = v4 & % 235.43/38.11 | c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v1, v0) = v5 & % 235.43/38.11 | $i(v5) & $i(v4))) % 235.43/38.11 | % 235.43/38.11 | ALPHA: (fact__096abs_A_IRe_A_Is_A_If_A_Ig_An_J_J_J_A_N_Ax_J_A_L_Aabs_A_IIm_A_Is_A_If_A_Ig_An_J_J_J_A_N_Ay_J_A_060_Ae_A_P_A2_A_L_Ae_A_P_A2_096) % 235.43/38.11 | implies: % 235.43/38.11 | (33) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 235.43/38.11 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 235.43/38.11 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: % 235.43/38.11 | $i] : (c_Int_OBit1(c_Int_OPls) = v10 & c_Int_OBit0(v10) = v11 & % 235.43/38.11 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v11) = v12 & % 235.43/38.11 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, v12) = % 235.43/38.11 | v13 & c_Complex_ORe(v2) = v3 & c_Complex_OIm(v2) = v6 & % 235.43/38.11 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v7) = v8 & % 235.43/38.11 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v4) = v5 & % 235.43/38.11 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v13, v13) = v14 & % 235.43/38.11 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v8) = v9 & % 235.43/38.11 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v6, v_y____) = v7 & % 235.43/38.11 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v3, v_x____) = v4 & % 235.43/38.11 | v_s(v1) = v2 & hAPP(v_ga____, v_n____) = v0 & hAPP(v_f____, v0) = v1 % 235.43/38.11 | & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) % 235.43/38.11 | & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 235.43/38.11 | $i(v0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9, v14)) % 235.43/38.11 | % 235.43/38.11 | ALPHA: (fact_e2) implies: % 235.43/38.11 | (34) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 235.43/38.11 | (c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 & % 235.43/38.11 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 & % 235.43/38.11 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, v3) = v4 % 235.43/38.11 | & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v4) & % 235.43/38.11 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & % 235.43/38.11 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4)) % 235.43/38.11 | % 235.43/38.11 | ALPHA: (fact_N1) implies: % 235.43/38.11 | (35) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : % 235.43/38.11 | (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.11 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & % 235.43/38.11 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, v2) = v3 % 235.43/38.11 | & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ( % 235.43/38.11 | ~ (hAPP(v_f____, v4) = v5) | ~ $i(v4) | ~ % 235.43/38.11 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v_N1____, v4) | ? % 235.43/38.11 | [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 235.43/38.11 | (c_Complex_ORe(v6) = v7 & % 235.43/38.11 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v8) = v9 & % 235.43/38.11 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v7, v_x____) = % 235.43/38.11 | v8 & v_s(v5) = v6 & $i(v9) & $i(v8) & $i(v7) & $i(v6) & % 235.43/38.11 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9, v3)))) % 235.43/38.11 | % 235.43/38.11 | ALPHA: (fact_N2) implies: % 235.43/38.11 | (36) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : % 235.43/38.11 | (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.11 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & % 235.43/38.11 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, v2) = v3 % 235.43/38.11 | & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ( % 235.43/38.11 | ~ (hAPP(v_ga____, v4) = v5) | ~ $i(v4) | ~ % 235.43/38.11 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v_N2____, v4) | ? % 235.43/38.11 | [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] % 235.43/38.11 | : (c_Complex_OIm(v7) = v8 & % 235.43/38.11 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v9) = v10 & % 235.43/38.11 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v8, v_y____) = % 235.43/38.11 | v9 & v_s(v6) = v7 & hAPP(v_f____, v5) = v6 & $i(v10) & $i(v9) & % 235.43/38.11 | $i(v8) & $i(v7) & $i(v6) & % 235.43/38.11 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10, v3)))) % 235.43/38.11 | % 235.43/38.11 | ALPHA: (fact_half) implies: % 235.43/38.11 | (37) ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & % 235.43/38.11 | c_Int_OBit0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : % 235.43/38.11 | ! [v4: $i] : ! [v5: $i] : ( ~ % 235.43/38.11 | (c_Int_Onumber__class_Onumber__of(v2, v1) = v4) | ~ % 235.43/38.11 | (c_Rings_Oinverse__class_Odivide(v2, v3, v4) = v5) | ~ % 235.43/38.11 | (c_Groups_Oone__class_Oone(v2) = v3) | ~ $i(v2) | ~ % 235.43/38.11 | class_Int_Onumber__ring(v2) | ~ % 235.43/38.11 | class_Fields_Olinordered__field__inverse__zero(v2) | ? [v6: $i] : % 235.43/38.11 | (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & % 235.43/38.11 | c_Orderings_Oord__class_Oless(v2, v6, v5)))) % 235.43/38.11 | % 235.43/38.11 | ALPHA: (fact_less__special_I2_J) implies: % 235.43/38.11 | (38) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] : % 235.43/38.11 | ! [v2: $i] : ! [v3: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v2, % 235.43/38.11 | v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ % 235.43/38.11 | class_Int_Onumber__ring(v2) | ~ class_Rings_Olinordered__idom(v2) % 235.43/38.11 | | ? [v4: $i] : (( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 235.43/38.11 | v0, v1) | (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) & % 235.43/38.11 | c_Orderings_Oord__class_Oless(v2, v4, v3))) & % 235.43/38.11 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1) | % 235.43/38.11 | (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) & ~ % 235.43/38.11 | c_Orderings_Oord__class_Oless(v2, v4, v3)))))) % 235.43/38.11 | % 235.43/38.11 | ALPHA: (fact_less__special_I4_J) implies: % 235.43/38.11 | (39) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] : % 235.43/38.11 | ! [v2: $i] : ! [v3: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v2, % 235.43/38.11 | v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ % 235.43/38.11 | class_Int_Onumber__ring(v2) | ~ class_Rings_Olinordered__idom(v2) % 235.43/38.11 | | ? [v4: $i] : (( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 235.43/38.11 | v1, v0) | (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) & % 235.43/38.11 | c_Orderings_Oord__class_Oless(v2, v3, v4))) & % 235.43/38.11 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | % 235.43/38.11 | (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) & ~ % 235.43/38.11 | c_Orderings_Oord__class_Oless(v2, v3, v4)))))) % 235.43/38.11 | % 235.43/38.11 | ALPHA: (fact_real__sum__of__halves) implies: % 235.43/38.11 | (40) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) = % 235.43/38.11 | v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.11 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2) % 235.43/38.11 | & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 = % 235.43/38.11 | v3 | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v3, v2) % 235.43/38.11 | = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, % 235.43/38.11 | v4) = v5) | ~ $i(v3))) % 235.43/38.11 | % 235.43/38.11 | ALPHA: (fact_add__special_I3_J) implies: % 235.43/38.11 | (41) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] : % 235.43/38.11 | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 235.43/38.11 | (c_Int_Onumber__class_Onumber__of(v2, v3) = v4) | ~ % 235.43/38.11 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v3) | ~ % 235.43/38.11 | $i(v2) | ~ $i(v1) | ~ class_Int_Onumber__ring(v2) | ? [v5: $i] % 235.43/38.11 | : ? [v6: $i] : (c_Int_Onumber__class_Onumber__of(v2, v1) = v5 & % 235.43/38.11 | c_Groups_Oone__class_Oone(v2) = v6 & % 235.43/38.11 | c_Groups_Oplus__class_Oplus(v2, v5, v6) = v4 & $i(v6) & $i(v5) & % 235.43/38.11 | $i(v4)))) % 235.43/38.11 | % 235.43/38.11 | ALPHA: (fact_add__special_I2_J) implies: % 235.43/38.12 | (42) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] : % 235.43/38.12 | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 235.43/38.12 | (c_Int_Onumber__class_Onumber__of(v2, v3) = v4) | ~ % 235.43/38.12 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v1) = v3) | ~ % 235.43/38.12 | $i(v2) | ~ $i(v1) | ~ class_Int_Onumber__ring(v2) | ? [v5: $i] % 235.43/38.12 | : ? [v6: $i] : (c_Int_Onumber__class_Onumber__of(v2, v1) = v6 & % 235.43/38.12 | c_Groups_Oone__class_Oone(v2) = v5 & % 235.43/38.12 | c_Groups_Oplus__class_Oplus(v2, v5, v6) = v4 & $i(v6) & $i(v5) & % 235.43/38.12 | $i(v4)))) % 235.43/38.12 | % 235.43/38.12 | ALPHA: (fact_one__add__one__is__two) implies: % 235.43/38.12 | (43) ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & % 235.43/38.12 | c_Int_OBit0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : % 235.43/38.12 | ( ~ (c_Int_Onumber__class_Onumber__of(v2, v1) = v3) | ~ $i(v2) | ~ % 235.43/38.12 | class_Int_Onumber__ring(v2) | ? [v4: $i] : % 235.43/38.12 | (c_Groups_Oone__class_Oone(v2) = v4 & % 235.43/38.12 | c_Groups_Oplus__class_Oplus(v2, v4, v4) = v3 & $i(v4) & % 235.43/38.12 | $i(v3)))) % 235.43/38.12 | % 235.43/38.12 | ALPHA: (fact_Bit1__def) implies: % 235.43/38.12 | (44) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & $i(v0) & % 235.43/38.12 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.12 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v3) | ~ % 235.43/38.12 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v1) = v2) | ~ % 235.43/38.12 | $i(v1) | (c_Int_OBit1(v1) = v3 & $i(v3)))) % 235.43/38.12 | % 235.43/38.12 | ALPHA: (fact_le__special_I4_J) implies: % 235.43/38.12 | (45) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] : % 235.43/38.12 | ! [v2: $i] : ! [v3: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v2, % 235.43/38.12 | v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ % 235.43/38.12 | class_Int_Onumber__ring(v2) | ~ class_Rings_Olinordered__idom(v2) % 235.43/38.12 | | ? [v4: $i] : (( ~ % 235.43/38.12 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | % 235.43/38.12 | (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) & % 235.43/38.12 | c_Orderings_Oord__class_Oless__eq(v2, v3, v4))) & % 235.43/38.12 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | % 235.43/38.12 | (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) & ~ % 235.43/38.12 | c_Orderings_Oord__class_Oless__eq(v2, v3, v4)))))) % 235.43/38.12 | % 235.43/38.12 | ALPHA: (fact_le__special_I2_J) implies: % 235.43/38.12 | (46) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] : % 235.43/38.12 | ! [v2: $i] : ! [v3: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v2, % 235.43/38.12 | v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ % 235.43/38.12 | class_Int_Onumber__ring(v2) | ~ class_Rings_Olinordered__idom(v2) % 235.43/38.12 | | ? [v4: $i] : (( ~ % 235.43/38.12 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) | % 235.43/38.12 | (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) & % 235.43/38.12 | c_Orderings_Oord__class_Oless__eq(v2, v4, v3))) & % 235.43/38.12 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) | % 235.43/38.12 | (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) & ~ % 235.43/38.12 | c_Orderings_Oord__class_Oless__eq(v2, v4, v3)))))) % 235.43/38.12 | % 235.43/38.12 | ALPHA: (fact_le__special_I1_J) implies: % 235.43/38.12 | (47) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 235.43/38.12 | (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~ $i(v1) | ~ % 235.43/38.12 | $i(v0) | ~ class_Int_Onumber__ring(v1) | ~ % 235.43/38.12 | class_Rings_Olinordered__idom(v1) | ? [v3: $i] : (( ~ % 235.43/38.12 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0) | % 235.43/38.12 | (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & % 235.43/38.12 | c_Orderings_Oord__class_Oless__eq(v1, v3, v2))) & % 235.43/38.12 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0) | % 235.43/38.12 | (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ~ % 235.43/38.12 | c_Orderings_Oord__class_Oless__eq(v1, v3, v2))))) % 235.43/38.12 | % 235.43/38.12 | ALPHA: (fact_less__special_I1_J) implies: % 235.43/38.12 | (48) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 235.43/38.12 | (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~ $i(v1) | ~ % 235.43/38.12 | $i(v0) | ~ class_Int_Onumber__ring(v1) | ~ % 235.43/38.12 | class_Rings_Olinordered__idom(v1) | ? [v3: $i] : (( ~ % 235.43/38.12 | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0) | % 235.43/38.12 | (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & % 235.43/38.12 | c_Orderings_Oord__class_Oless(v1, v3, v2))) & % 235.43/38.12 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0) | % 235.43/38.12 | (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ~ % 235.43/38.12 | c_Orderings_Oord__class_Oless(v1, v3, v2))))) % 235.43/38.12 | % 235.43/38.12 | ALPHA: (fact_less__special_I3_J) implies: % 235.43/38.12 | (49) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 235.43/38.12 | (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~ $i(v1) | ~ % 235.43/38.12 | $i(v0) | ~ class_Int_Onumber__ring(v1) | ~ % 235.43/38.12 | class_Rings_Olinordered__idom(v1) | ? [v3: $i] : (( ~ % 235.43/38.12 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, c_Int_OPls) | % 235.43/38.12 | (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & % 235.43/38.12 | c_Orderings_Oord__class_Oless(v1, v2, v3))) & % 235.43/38.12 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, c_Int_OPls) | % 235.43/38.12 | (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ~ % 235.43/38.12 | c_Orderings_Oord__class_Oless(v1, v2, v3))))) % 235.43/38.12 | % 235.43/38.12 | ALPHA: (fact_Pls__def) implies: % 235.43/38.12 | (50) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Int_OPls % 235.43/38.12 | % 235.43/38.12 | ALPHA: (fact_rel__simps_I22_J) implies: % 235.43/38.12 | (51) ! [v0: $i] : ! [v1: $i] : ( ~ (c_Int_OBit1(v0) = v1) | ~ $i(v0) | % 235.43/38.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0) | % 235.43/38.12 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v1)) % 235.43/38.12 | % 235.43/38.12 | ALPHA: (fact_divide__numeral__1) implies: % 235.43/38.12 | (52) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] : % 235.43/38.12 | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v1 | ~ % 235.43/38.12 | (c_Int_Onumber__class_Onumber__of(v2, v0) = v3) | ~ % 235.43/38.12 | (c_Rings_Oinverse__class_Odivide(v2, v1, v3) = v4) | ~ $i(v2) | % 235.43/38.12 | ~ $i(v1) | ~ class_Fields_Ofield(v2) | ~ % 235.43/38.12 | class_Int_Onumber__ring(v2))) % 235.43/38.12 | % 235.43/38.12 | ALPHA: (fact_real__gt__half__sum) implies: % 235.43/38.12 | (53) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) = % 235.43/38.12 | v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.12 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2) % 235.43/38.12 | & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ % 235.43/38.12 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v3) = v5) | ~ % 235.43/38.12 | $i(v4) | ~ $i(v3) | ~ % 235.43/38.12 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v3) | ? [v6: % 235.43/38.12 | $i] : (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v2) % 235.43/38.12 | = v6 & $i(v6) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, % 235.43/38.12 | v6, v3)))) % 235.43/38.12 | % 235.43/38.12 | ALPHA: (fact_real__less__half__sum) implies: % 235.43/38.12 | (54) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) = % 235.43/38.12 | v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.12 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2) % 235.43/38.12 | & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ % 235.43/38.12 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v3) = v5) | ~ % 235.43/38.12 | $i(v4) | ~ $i(v3) | ~ % 235.43/38.12 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v3) | ? [v6: % 235.43/38.12 | $i] : (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v2) % 235.43/38.12 | = v6 & $i(v6) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, % 235.43/38.12 | v4, v6)))) % 235.43/38.12 | % 235.43/38.12 | ALPHA: (fact_half__gt__zero) implies: % 235.43/38.12 | (55) ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & % 235.43/38.12 | c_Int_OBit0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : % 235.43/38.12 | ! [v4: $i] : ! [v5: $i] : ( ~ % 235.43/38.12 | (c_Int_Onumber__class_Onumber__of(v3, v1) = v4) | ~ % 235.43/38.12 | (c_Rings_Oinverse__class_Odivide(v3, v2, v4) = v5) | ~ $i(v3) | % 235.43/38.12 | ~ $i(v2) | ~ class_Int_Onumber__ring(v3) | ~ % 235.43/38.12 | class_Fields_Olinordered__field__inverse__zero(v3) | ? [v6: $i] : % 235.43/38.12 | (c_Groups_Ozero__class_Ozero(v3) = v6 & $i(v6) & ( ~ % 235.43/38.12 | c_Orderings_Oord__class_Oless(v3, v6, v2) | % 235.43/38.12 | c_Orderings_Oord__class_Oless(v3, v6, v5))))) % 235.43/38.12 | % 235.43/38.12 | ALPHA: (fact_real__average__minus__second) implies: % 235.43/38.12 | (56) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) = % 235.43/38.12 | v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.12 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2) % 235.43/38.12 | & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! % 235.43/38.12 | [v6: $i] : ! [v7: $i] : ( ~ % 235.43/38.12 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v2) = v6) | % 235.43/38.12 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v3) = v5) | % 235.43/38.12 | ~ (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v6, v3) = v7) | % 235.43/38.12 | ~ $i(v4) | ~ $i(v3) | ? [v8: $i] : % 235.43/38.12 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v8, v2) = v7 & % 235.43/38.12 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v4, v3) = v8 & % 235.43/38.12 | $i(v8) & $i(v7)))) % 235.43/38.12 | % 235.43/38.12 | ALPHA: (fact_real__average__minus__first) implies: % 235.43/38.12 | (57) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) = % 235.43/38.12 | v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.12 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2) % 235.43/38.12 | & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! % 235.43/38.12 | [v6: $i] : ! [v7: $i] : ( ~ % 235.43/38.12 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v2) = v6) | % 235.43/38.12 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v3) = v5) | % 235.43/38.12 | ~ (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v6, v4) = v7) | % 235.43/38.12 | ~ $i(v4) | ~ $i(v3) | ? [v8: $i] : % 235.43/38.12 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v8, v2) = v7 & % 235.43/38.12 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v3, v4) = v8 & % 235.43/38.12 | $i(v8) & $i(v7)))) % 235.43/38.12 | % 235.43/38.12 | ALPHA: (fact_bin__less__0__simps_I4_J) implies: % 235.43/38.12 | (58) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) % 235.43/38.12 | & ! [v1: $i] : ! [v2: $i] : ( ~ (c_Int_OBit1(v1) = v2) | ~ $i(v1) % 235.43/38.12 | | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0) | % 235.43/38.12 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0)) & ! [v1: $i] % 235.43/38.12 | : ! [v2: $i] : ( ~ (c_Int_OBit1(v1) = v2) | ~ $i(v1) | ~ % 235.43/38.12 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | % 235.43/38.12 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0))) % 235.43/38.12 | % 235.43/38.12 | ALPHA: (fact_bin__less__0__simps_I3_J) implies: % 235.43/38.12 | (59) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) % 235.43/38.12 | & ! [v1: $i] : ! [v2: $i] : ( ~ (c_Int_OBit0(v1) = v2) | ~ $i(v1) % 235.43/38.12 | | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0) | % 235.43/38.12 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0)) & ! [v1: $i] % 235.43/38.12 | : ! [v2: $i] : ( ~ (c_Int_OBit0(v1) = v2) | ~ $i(v1) | ~ % 235.43/38.12 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | % 235.43/38.12 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0))) % 235.43/38.12 | % 235.43/38.12 | ALPHA: (fact_half__gt__zero__iff) implies: % 235.43/38.12 | (60) ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & % 235.43/38.12 | c_Int_OBit0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : % 235.43/38.12 | ! [v4: $i] : ! [v5: $i] : ( ~ % 235.43/38.12 | (c_Int_Onumber__class_Onumber__of(v3, v1) = v4) | ~ % 235.43/38.12 | (c_Rings_Oinverse__class_Odivide(v3, v2, v4) = v5) | ~ $i(v3) | % 235.43/38.12 | ~ $i(v2) | ~ class_Int_Onumber__ring(v3) | ~ % 235.43/38.12 | class_Fields_Olinordered__field__inverse__zero(v3) | ? [v6: $i] : % 235.43/38.12 | (c_Groups_Ozero__class_Ozero(v3) = v6 & $i(v6) & ( ~ % 235.43/38.12 | c_Orderings_Oord__class_Oless(v3, v6, v5) | % 235.43/38.12 | c_Orderings_Oord__class_Oless(v3, v6, v2)) & ( ~ % 235.43/38.12 | c_Orderings_Oord__class_Oless(v3, v6, v2) | % 235.43/38.12 | c_Orderings_Oord__class_Oless(v3, v6, v5))))) % 235.43/38.12 | % 235.43/38.12 | ALPHA: (fact_rel__simps_I5_J) implies: % 235.43/38.12 | (61) ! [v0: $i] : ! [v1: $i] : ( ~ (c_Int_OBit1(v0) = v1) | ~ $i(v0) | % 235.43/38.12 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0) | % 235.43/38.12 | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v1)) % 235.43/38.12 | % 235.43/38.12 | ALPHA: (fact_bin__less__0__simps_I1_J) implies: % 235.43/38.12 | (62) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) % 235.43/38.12 | & ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0)) % 235.43/38.12 | % 235.43/38.12 | ALPHA: (fact__096EX_An0_O_AALL_An_062_061n0_O_Aabs_A_IIm_A_Is_A_If_A_Ig_An_J_J_J_A_N_Ay_J_A_060_Ae_A_P_A2_096) % 235.43/38.12 | implies: % 235.43/38.12 | (63) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 235.43/38.12 | (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.12 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & % 235.43/38.12 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, v2) = v3 % 235.43/38.12 | & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: % 235.43/38.12 | $i] : ( ~ (hAPP(v_ga____, v5) = v6) | ~ $i(v5) | ~ % 235.43/38.12 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5) | ? [v7: % 235.43/38.12 | $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : % 235.43/38.12 | (c_Complex_OIm(v8) = v9 & % 235.43/38.12 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v10) = v11 & % 235.43/38.12 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v9, v_y____) = % 235.43/38.12 | v10 & v_s(v7) = v8 & hAPP(v_f____, v6) = v7 & $i(v11) & $i(v10) % 235.43/38.12 | & $i(v9) & $i(v8) & $i(v7) & % 235.43/38.12 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11, v3)))) % 235.43/38.12 | % 235.43/38.12 | ALPHA: (fact__096EX_An0_O_AALL_An_062_061n0_O_Aabs_A_IRe_A_Is_A_If_An_J_J_A_N_Ax_J_A_060_Ae_A_P_A2_096) % 235.43/38.12 | implies: % 235.43/38.12 | (64) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 235.43/38.12 | (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.12 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & % 235.43/38.12 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, v2) = v3 % 235.43/38.12 | & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: % 235.43/38.12 | $i] : ( ~ (hAPP(v_f____, v5) = v6) | ~ $i(v5) | ~ % 235.43/38.12 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5) | ? [v7: % 235.43/38.12 | $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : % 235.43/38.12 | (c_Complex_ORe(v7) = v8 & % 235.43/38.12 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v9) = v10 & % 235.43/38.12 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v8, v_x____) = % 235.43/38.12 | v9 & v_s(v6) = v7 & $i(v10) & $i(v9) & $i(v8) & $i(v7) & % 235.43/38.12 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10, v3)))) % 235.43/38.12 | % 235.43/38.12 | ALPHA: (fact_semiring__norm_I110_J) implies: % 235.43/38.12 | (65) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] : % 235.43/38.12 | ! [v2: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | % 235.43/38.12 | ~ $i(v1) | ~ class_Int_Onumber__ring(v1) | % 235.43/38.12 | (c_Groups_Oone__class_Oone(v1) = v2 & $i(v2)))) % 235.43/38.12 | % 235.43/38.12 | ALPHA: (fact_odd__nonzero) implies: % 235.43/38.12 | (66) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = % 235.43/38.12 | v0 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v1 & $i(v1) & $i(v0) % 235.43/38.12 | & ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.12 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v3, v2) = v1) | ~ % 235.43/38.12 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v2) = v3) | ~ % 235.43/38.12 | $i(v2))) % 235.43/38.13 | % 235.43/38.13 | ALPHA: (fact_int__0__less__1) implies: % 235.43/38.13 | (67) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = % 235.43/38.13 | v1 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0) % 235.43/38.13 | & c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1)) % 235.43/38.13 | % 235.43/38.13 | ALPHA: (fact_int__one__le__iff__zero__less) implies: % 235.43/38.13 | (68) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = % 235.43/38.13 | v0 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v1 & $i(v1) & $i(v0) % 235.43/38.13 | & ! [v2: $i] : ( ~ $i(v2) | ~ % 235.43/38.13 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) | % 235.43/38.13 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2)) & ! [v2: $i] % 235.43/38.13 | : ( ~ $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2) % 235.43/38.13 | | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2))) % 235.43/38.13 | % 235.43/38.13 | ALPHA: (fact_zle__add1__eq__le) implies: % 235.43/38.13 | (69) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & $i(v0) & % 235.43/38.13 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.13 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v3) | ~ % 235.43/38.13 | $i(v2) | ~ $i(v1) | ~ % 235.43/38.13 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v1) | % 235.43/38.13 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v3)) & ! [v1: $i] % 235.43/38.13 | : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.13 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v3) | ~ % 235.43/38.13 | $i(v2) | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 235.43/38.13 | v2, v3) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, % 235.43/38.13 | v1))) % 235.43/38.13 | % 235.43/38.13 | ALPHA: (fact_zle__diff1__eq) implies: % 235.43/38.13 | (70) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & $i(v0) & % 235.43/38.13 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.13 | (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v1, v0) = v3) | ~ % 235.43/38.13 | $i(v2) | ~ $i(v1) | ~ % 235.43/38.13 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v3) | % 235.43/38.13 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1)) & ! [v1: $i] % 235.43/38.13 | : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.13 | (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v1, v0) = v3) | ~ % 235.43/38.13 | $i(v2) | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 235.43/38.13 | v2, v1) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, % 235.43/38.13 | v3))) % 235.43/38.13 | % 235.43/38.13 | ALPHA: (fact_zless__add1__eq) implies: % 235.43/38.13 | (71) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & $i(v0) & % 235.43/38.13 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v2 = v1 | ~ % 235.43/38.13 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v3) | ~ % 235.43/38.13 | $i(v2) | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 235.43/38.13 | v2, v3) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1)) & % 235.43/38.13 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.13 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v3) | ~ % 235.43/38.13 | $i(v2) | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 235.43/38.13 | v2, v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v3)) & % 235.43/38.13 | ! [v1: $i] : ! [v2: $i] : ( ~ % 235.43/38.13 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~ % 235.43/38.13 | $i(v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2))) % 235.43/38.13 | % 235.43/38.13 | ALPHA: (fact_zabs__less__one__iff) implies: % 235.43/38.13 | (72) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = % 235.43/38.13 | v0 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v1 & $i(v1) & $i(v0) % 235.43/38.13 | & ! [v2: $i] : ! [v3: $i] : (v2 = v1 | ~ % 235.43/38.13 | (c_Groups_Oabs__class_Oabs(tc_Int_Oint, v2) = v3) | ~ $i(v2) | ~ % 235.43/38.13 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v0)) & ! [v2: $i] % 235.43/38.13 | : ( ~ (c_Groups_Oabs__class_Oabs(tc_Int_Oint, v1) = v2) | % 235.43/38.13 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0))) % 235.43/38.13 | % 235.43/38.13 | ALPHA: (fact_add1__zle__eq) implies: % 235.43/38.13 | (73) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & $i(v0) & % 235.43/38.13 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.13 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v0) = v3) | ~ % 235.43/38.13 | $i(v2) | ~ $i(v1) | ~ % 235.43/38.13 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, v1) | % 235.43/38.13 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1)) & ! [v1: $i] % 235.43/38.13 | : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.13 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v0) = v3) | ~ % 235.43/38.13 | $i(v2) | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 235.43/38.13 | v2, v1) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, % 235.43/38.13 | v1))) % 235.43/38.13 | % 235.43/38.13 | ALPHA: (fact_odd__less__0) implies: % 235.43/38.13 | (74) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = % 235.43/38.13 | v0 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v1 & $i(v1) & $i(v0) % 235.43/38.13 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 235.43/38.13 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v3, v2) = v4) | ~ % 235.43/38.13 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v2) = v3) | ~ % 235.43/38.13 | $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v4, v1) | % 235.43/38.13 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1)) & ! [v2: $i] % 235.43/38.13 | : ! [v3: $i] : ! [v4: $i] : ( ~ % 235.43/38.13 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v3, v2) = v4) | ~ % 235.43/38.13 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v2) = v3) | ~ % 235.43/38.13 | $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) | % 235.43/38.13 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v4, v1))) % 235.43/38.13 | % 235.43/38.13 | ALPHA: (fact_le__imp__0__less) implies: % 235.43/38.13 | (75) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = % 235.43/38.13 | v1 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0) % 235.43/38.13 | & ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.13 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v2) = v3) | ~ % 235.43/38.13 | $i(v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) % 235.43/38.13 | | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3))) % 235.43/38.13 | % 235.43/38.13 | ALPHA: (fact_zless__imp__add1__zle) implies: % 235.43/38.13 | (76) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & $i(v0) & % 235.43/38.13 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.13 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v0) = v3) | ~ % 235.43/38.13 | $i(v2) | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 235.43/38.13 | v2, v1) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, % 235.43/38.13 | v1))) % 235.43/38.13 | % 235.43/38.13 | ALPHA: (fact_int__0__neq__1) implies: % 235.43/38.13 | (77) ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) & % 235.43/38.13 | c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 & % 235.43/38.13 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0)) % 235.43/38.13 | % 235.43/38.13 | ALPHA: (fact_zadd__0) implies: % 235.43/38.13 | (78) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) % 235.43/38.13 | & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~ % 235.43/38.13 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v1) = v2) | ~ % 235.43/38.13 | $i(v1))) % 235.43/38.13 | % 235.43/38.13 | ALPHA: (fact_zadd__0__right) implies: % 235.43/38.13 | (79) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) % 235.43/38.13 | & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~ % 235.43/38.13 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~ % 235.43/38.13 | $i(v1))) % 235.43/38.13 | % 235.43/38.13 | ALPHA: (fact_less__bin__lemma) implies: % 235.43/38.13 | (80) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) % 235.43/38.13 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.13 | (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v2, v1) = v3) | ~ % 235.43/38.13 | $i(v2) | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 235.43/38.13 | v3, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1)) & % 235.43/38.13 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.13 | (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v2, v1) = v3) | ~ % 235.43/38.13 | $i(v2) | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 235.43/38.13 | v2, v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v0))) % 235.43/38.13 | % 235.43/38.13 | ALPHA: (fact_zero__is__num__zero) implies: % 235.43/38.13 | (81) ? [v0: $i] : (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, % 235.43/38.13 | c_Int_OPls) = v0 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & % 235.43/38.13 | $i(v0)) % 235.43/38.13 | % 235.43/38.13 | ALPHA: (fact_eq__number__of__0) implies: % 235.43/38.13 | (82) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) % 235.43/38.13 | & ! [v1: $i] : ! [v2: $i] : (v2 = v0 | ~ % 235.43/38.13 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~ % 235.43/38.13 | $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, % 235.43/38.13 | c_Int_OPls)) & ! [v1: $i] : ( ~ % 235.43/38.13 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v0) | ~ % 235.43/38.13 | $i(v1) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, % 235.43/38.13 | c_Int_OPls))) % 235.43/38.13 | % 235.43/38.13 | ALPHA: (fact_semiring__norm_I113_J) implies: % 235.43/38.13 | (83) ? [v0: $i] : (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 235.43/38.13 | c_Int_OPls) = v0 & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & % 235.43/38.13 | $i(v0)) % 235.43/38.13 | % 235.43/38.13 | ALPHA: (fact_nat__numeral__1__eq__1) implies: % 235.43/38.13 | (84) ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & % 235.43/38.13 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v1 & % 235.43/38.13 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v1) & $i(v0)) % 235.43/38.13 | % 235.43/38.13 | ALPHA: (fact_Numeral1__eq1__nat) implies: % 235.43/38.13 | (85) ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v1 & % 235.43/38.13 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v0 & % 235.43/38.13 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v1) & $i(v0)) % 235.43/38.13 | % 235.43/38.13 | ALPHA: (fact_less__nat__number__of) implies: % 235.43/38.13 | (86) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.13 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~ % 235.43/38.13 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v3) | ~ $i(v1) % 235.43/38.13 | | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v3) % 235.43/38.13 | | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0)) % 235.43/38.13 | % 235.43/38.13 | ALPHA: (fact_less__0__number__of) implies: % 235.43/38.13 | (87) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) % 235.43/38.13 | & ! [v1: $i] : ! [v2: $i] : ( ~ % 235.43/38.13 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~ % 235.43/38.13 | $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, % 235.43/38.13 | v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2)) & ! % 235.43/38.13 | [v1: $i] : ! [v2: $i] : ( ~ % 235.43/38.13 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~ % 235.43/38.13 | $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) | % 235.43/38.13 | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v1))) % 235.43/38.13 | % 235.43/38.13 | ALPHA: (fact_one__is__num__one) implies: % 235.43/38.13 | (88) ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v1 & % 235.43/38.13 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v0 & % 235.43/38.13 | c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & $i(v1) & $i(v0)) % 235.43/38.13 | % 235.43/38.13 | ALPHA: (fact_nat__1__add__1) implies: % 235.43/38.13 | (89) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : % 235.43/38.13 | (c_Int_OBit1(c_Int_OPls) = v2 & c_Int_OBit0(v2) = v3 & % 235.43/38.13 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v3) = v1 & % 235.43/38.13 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & % 235.43/38.13 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v0) = v1 & $i(v3) & % 235.43/38.13 | $i(v2) & $i(v1) & $i(v0)) % 235.43/38.13 | % 235.43/38.13 | ALPHA: (fact_int__pos__lt__two__imp__zero__or__one) implies: % 235.43/38.13 | (90) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 235.43/38.13 | (c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 & % 235.43/38.13 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3 & % 235.43/38.13 | c_Groups_Oone__class_Oone(tc_Int_Oint) = v4 & % 235.43/38.13 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v4) & $i(v3) & % 235.43/38.13 | $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : (v5 = v4 | v5 = v0 | ~ % 235.43/38.13 | $i(v5) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v5) % 235.43/38.13 | | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v5, v3))) % 235.43/38.13 | % 235.43/38.13 | ALPHA: (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J) % 235.43/38.13 | implies: % 235.43/38.13 | (91) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : % 235.43/38.13 | (c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 & % 235.43/38.13 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3 & % 235.43/38.13 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v3) & $i(v2) & % 235.43/38.13 | $i(v1) & $i(v0) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, % 235.43/38.13 | v3)) % 235.43/38.13 | % 235.43/38.13 | ALPHA: (fact_pos2) implies: % 235.43/38.13 | (92) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : % 235.43/38.13 | (c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 & % 235.43/38.13 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & % 235.43/38.13 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v3) & $i(v2) & % 235.43/38.13 | $i(v1) & $i(v0) & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, % 235.43/38.13 | v3)) % 235.43/38.13 | % 235.43/38.13 | ALPHA: (fact_number__of1) implies: % 235.43/38.13 | (93) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) % 235.43/38.13 | & ! [v1: $i] : ! [v2: $i] : ( ~ % 235.43/38.13 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v2) | ~ % 235.43/38.13 | $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) % 235.43/38.13 | | ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : % 235.43/38.13 | (c_Int_OBit1(v1) = v5 & c_Int_OBit0(v1) = v3 & % 235.43/38.13 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v5) = v6 & % 235.43/38.13 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v3) = v4 & $i(v6) % 235.43/38.13 | & $i(v5) & $i(v4) & $i(v3) & % 235.43/38.13 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v6) & % 235.43/38.13 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v4)))) % 235.43/38.13 | % 235.43/38.13 | ALPHA: (fact_number__of__is__id) implies: % 235.43/38.13 | (94) ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ % 235.43/38.13 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v1) | ~ % 235.43/38.13 | $i(v0)) % 235.43/38.13 | % 235.43/38.13 | ALPHA: (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J) % 235.43/38.13 | implies: % 235.43/38.13 | (95) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) % 235.43/38.14 | & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v0)) % 235.43/38.14 | % 235.43/38.14 | ALPHA: (fact_number__of2) implies: % 235.43/38.14 | (96) ? [v0: $i] : ? [v1: $i] : % 235.43/38.14 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls) = v1 & % 235.43/38.14 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0) & % 235.43/38.14 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1)) % 235.43/38.14 | % 235.43/38.14 | ALPHA: (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J) % 235.43/38.14 | implies: % 235.43/38.14 | (97) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = % 235.43/38.14 | v1 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & $i(v0) % 235.43/38.14 | & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1)) % 235.43/38.14 | % 235.43/38.14 | ALPHA: (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J) % 235.43/38.14 | implies: % 235.43/38.14 | (98) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) % 235.43/38.14 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.14 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v3) | ~ % 235.43/38.14 | $i(v2) | ~ $i(v1) | ~ % 235.43/38.14 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) | ~ % 235.43/38.14 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) | % 235.43/38.14 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3))) % 235.43/38.14 | % 235.43/38.14 | ALPHA: (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J) % 235.43/38.14 | implies: % 235.43/38.14 | (99) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : % 235.43/38.14 | (c_Int_OBit1(v1) = v2 & c_Int_OBit1(c_Int_OPls) = v1 & % 235.43/38.14 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3 & % 235.43/38.14 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v3) & $i(v2) & % 235.43/38.14 | $i(v1) & $i(v0) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, % 235.43/38.14 | v3)) % 235.43/38.14 | % 235.43/38.14 | ALPHA: (fact__096_B_Bthesis_O_A_I_B_BN1_AN2_O_A_091_124_AALL_An_062_061N1_O_Aabs_A_IRe_A_Is_A_If_An_J_J_A_N_Ax_J_A_060_Ae_A_P_A2_059_AALL_An_062_061N2_O_Aabs_A_IIm_A_Is_A_If_A_Ig_An_J_J_J_A_N_Ay_J_A_060_Ae_A_P_A2_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096) % 235.43/38.14 | implies: % 235.43/38.14 | (100) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 235.43/38.14 | ? [v5: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.14 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & % 235.43/38.14 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, v2) = v3 % 235.43/38.14 | & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v6: $i] % 235.43/38.14 | : ! [v7: $i] : ( ~ (hAPP(v_ga____, v6) = v7) | ~ $i(v6) | ~ % 235.43/38.14 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v6) | ? [v8: % 235.43/38.14 | $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] % 235.43/38.14 | : (c_Complex_OIm(v9) = v10 & % 235.43/38.14 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v11) = v12 & % 235.43/38.14 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v10, v_y____) = % 235.43/38.14 | v11 & v_s(v8) = v9 & hAPP(v_f____, v7) = v8 & $i(v12) & $i(v11) % 235.43/38.14 | & $i(v10) & $i(v9) & $i(v8) & % 235.43/38.14 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12, v3))) & ! % 235.43/38.14 | [v6: $i] : ! [v7: $i] : ( ~ (hAPP(v_f____, v6) = v7) | ~ $i(v6) | % 235.43/38.14 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v6) | ? % 235.43/38.14 | [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : % 235.43/38.14 | (c_Complex_ORe(v8) = v9 & % 235.43/38.14 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v10) = v11 & % 235.43/38.14 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v9, v_x____) = % 235.43/38.14 | v10 & v_s(v7) = v8 & $i(v11) & $i(v10) & $i(v9) & $i(v8) & % 235.43/38.14 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11, v3)))) % 235.43/38.14 | % 235.43/38.14 | ALPHA: (fact_natceiling__zero) implies: % 235.43/38.14 | (101) ? [v0: $i] : ? [v1: $i] : (c_RComplete_Onatceiling(v0) = v1 & % 235.43/38.14 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 & % 235.43/38.14 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & % 235.43/38.14 | $i(v0)) % 235.43/38.14 | % 235.43/38.14 | ALPHA: (fact_zero__le__natceiling) implies: % 235.43/38.14 | (102) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) % 235.43/38.14 | & ! [v1: $i] : ! [v2: $i] : ( ~ (c_RComplete_Onatceiling(v1) = % 235.43/38.14 | v2) | ~ $i(v1) | % 235.43/38.14 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v2))) % 235.43/38.14 | % 235.43/38.14 | ALPHA: (fact_succ__Pls) implies: % 235.43/38.14 | (103) ? [v0: $i] : (c_Int_Osucc(c_Int_OPls) = v0 & c_Int_OBit1(c_Int_OPls) % 235.43/38.14 | = v0 & $i(v0)) % 235.43/38.14 | % 235.43/38.14 | ALPHA: (fact_succ__def) implies: % 235.43/38.14 | (104) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & $i(v0) & % 235.43/38.14 | ! [v1: $i] : ! [v2: $i] : ( ~ % 235.43/38.14 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~ % 235.43/38.14 | $i(v1) | (c_Int_Osucc(v1) = v2 & $i(v2)))) % 235.43/38.14 | % 235.43/38.14 | ALPHA: (fact_natceiling__neg) implies: % 235.43/38.14 | (105) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 235.43/38.14 | = v1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) % 235.43/38.14 | & $i(v0) & ! [v2: $i] : ! [v3: $i] : (v3 = v1 | ~ % 235.43/38.14 | (c_RComplete_Onatceiling(v2) = v3) | ~ $i(v2) | ~ % 235.43/38.14 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0))) % 235.43/38.14 | % 235.43/38.14 | ALPHA: (fact_nat__number__of__diff__1) implies: % 235.43/38.14 | (106) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) = % 235.43/38.14 | v0 & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 & $i(v1) & % 235.43/38.14 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.14 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3) | ~ % 235.43/38.14 | $i(v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, % 235.43/38.14 | c_Int_OPls) | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, % 235.43/38.14 | v0) = v1) & ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.14 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3) | ~ % 235.43/38.14 | $i(v2) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, % 235.43/38.14 | c_Int_OPls) | ? [v4: $i] : ? [v5: $i] : (c_Int_Opred(v2) = v5 % 235.43/38.14 | & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v5) = v4 & % 235.43/38.14 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v0) = v4 & % 235.43/38.14 | $i(v5) & $i(v4)))) % 235.43/38.14 | % 235.43/38.14 | ALPHA: (fact_not__neg__0) implies: % 235.43/38.14 | (107) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) % 235.43/38.14 | & ~ c_Nat__Numeral_Oneg(v0)) % 235.43/38.14 | % 235.43/38.14 | ALPHA: (fact_not__neg__1) implies: % 235.43/38.14 | (108) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & $i(v0) & % 235.43/38.14 | ~ c_Nat__Numeral_Oneg(v0)) % 235.43/38.14 | % 235.43/38.14 | ALPHA: (fact_neg__number__of__pred__iff__0) implies: % 235.43/38.14 | (109) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) % 235.43/38.14 | & ! [v1: $i] : ! [v2: $i] : (v2 = v0 | ~ % 235.43/38.14 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~ % 235.43/38.14 | $i(v1) | ? [v3: $i] : ? [v4: $i] : (c_Int_Opred(v1) = v3 & % 235.43/38.14 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v3) = v4 & $i(v4) % 235.43/38.14 | & $i(v3) & ~ c_Nat__Numeral_Oneg(v4))) & ! [v1: $i] : ( ~ % 235.43/38.14 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v0) | ~ % 235.43/38.14 | $i(v1) | ? [v2: $i] : ? [v3: $i] : (c_Int_Opred(v1) = v2 & % 235.43/38.14 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3 & $i(v3) % 235.43/38.14 | & $i(v2) & c_Nat__Numeral_Oneg(v3)))) % 235.43/38.14 | % 235.43/38.14 | ALPHA: (fact_not__neg__eq__ge__0) implies: % 235.43/38.14 | (110) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) % 235.43/38.14 | & ! [v1: $i] : ( ~ $i(v1) | ~ c_Nat__Numeral_Oneg(v1) | ~ % 235.43/38.14 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1)) & ? [v1: % 235.43/38.14 | $i] : ( ~ $i(v1) | c_Nat__Numeral_Oneg(v1) | % 235.43/38.14 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1))) % 235.43/38.14 | % 235.43/38.14 | ALPHA: (fact_neg__def) implies: % 235.43/38.14 | (111) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) % 235.43/38.14 | & ! [v1: $i] : ( ~ $i(v1) | ~ c_Nat__Numeral_Oneg(v1) | % 235.43/38.14 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0)) & ! [v1: $i] % 235.43/38.14 | : ( ~ $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, % 235.43/38.14 | v0) | c_Nat__Numeral_Oneg(v1))) % 235.43/38.14 | % 235.43/38.14 | ALPHA: (fact_neg__number__of__Bit1) implies: % 235.43/38.14 | (112) ! [v0: $i] : ! [v1: $i] : ( ~ % 235.43/38.14 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v1) | ~ % 235.43/38.14 | $i(v0) | c_Nat__Numeral_Oneg(v1) | ? [v2: $i] : ? [v3: $i] : % 235.43/38.14 | (c_Int_OBit1(v0) = v2 & % 235.43/38.14 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3 & $i(v3) & % 235.43/38.14 | $i(v2) & ~ c_Nat__Numeral_Oneg(v3))) % 235.43/38.14 | % 235.43/38.14 | ALPHA: (fact_neg__number__of__Bit0) implies: % 235.43/38.14 | (113) ! [v0: $i] : ! [v1: $i] : ( ~ % 235.43/38.14 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v1) | ~ % 235.43/38.14 | $i(v0) | c_Nat__Numeral_Oneg(v1) | ? [v2: $i] : ? [v3: $i] : % 235.43/38.14 | (c_Int_OBit0(v0) = v2 & % 235.43/38.14 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3 & $i(v3) & % 235.43/38.14 | $i(v2) & ~ c_Nat__Numeral_Oneg(v3))) % 235.43/38.14 | % 235.43/38.14 | ALPHA: (fact_pred__def) implies: % 235.43/38.14 | (114) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & $i(v0) & % 235.43/38.14 | ! [v1: $i] : ! [v2: $i] : ( ~ % 235.43/38.14 | (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v1, v0) = v2) | ~ % 235.43/38.14 | $i(v1) | (c_Int_Opred(v1) = v2 & $i(v2)))) % 235.43/38.14 | % 235.43/38.14 | ALPHA: (fact_neg__imp__number__of__eq__0) implies: % 235.43/38.14 | (115) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) % 235.43/38.14 | & ! [v1: $i] : ! [v2: $i] : ( ~ % 235.43/38.14 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v2) | ~ % 235.43/38.14 | $i(v1) | ~ c_Nat__Numeral_Oneg(v2) | % 235.43/38.14 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v0)) % 235.43/38.14 | % 235.43/38.14 | ALPHA: (fact_eq__nat__number__of) implies: % 235.43/38.14 | (116) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) % 235.43/38.14 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v3 = v0 % 235.43/38.14 | | ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3) | % 235.43/38.14 | ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v4) | ~ % 235.43/38.14 | $i(v2) | ~ $i(v1) | ~ c_Nat__Numeral_Oneg(v4) | % 235.43/38.14 | c_Nat__Numeral_Oneg(v3) | ? [v5: $i] : ? [v6: $i] : ( ~ (v6 = % 235.43/38.14 | v5) & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v5 % 235.43/38.14 | & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v6 & % 235.43/38.14 | $i(v6) & $i(v5))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : % 235.43/38.14 | ! [v4: $i] : (v2 = v1 | ~ % 235.43/38.14 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3) | ~ % 235.43/38.14 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v4) | ~ % 235.43/38.14 | $i(v2) | ~ $i(v1) | c_Nat__Numeral_Oneg(v4) | % 235.43/38.14 | c_Nat__Numeral_Oneg(v3) | ? [v5: $i] : ? [v6: $i] : ( ~ (v6 = % 235.43/38.14 | v5) & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v5 % 235.43/38.14 | & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v6 & % 235.43/38.14 | $i(v6) & $i(v5))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : % 235.43/38.14 | ! [v4: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) % 235.43/38.14 | = v3) | ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = % 235.43/38.14 | v4) | ~ $i(v2) | ~ $i(v1) | ~ c_Nat__Numeral_Oneg(v3) | ~ % 235.43/38.14 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v4, v0) | ? [v5: % 235.43/38.14 | $i] : (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v5 & % 235.43/38.14 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v5 & % 235.43/38.14 | $i(v5))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: % 235.43/38.14 | $i] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = % 235.43/38.14 | v3) | ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = % 235.43/38.14 | v4) | ~ $i(v2) | ~ $i(v1) | ~ c_Nat__Numeral_Oneg(v3) | % 235.43/38.14 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v4, v0) | ? [v5: % 235.43/38.14 | $i] : ? [v6: $i] : ( ~ (v6 = v5) & % 235.43/38.14 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v5 & % 235.43/38.14 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v6 & $i(v6) % 235.43/38.14 | & $i(v5))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.14 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v0) | ~ % 235.43/38.14 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v3) | ~ % 235.43/38.14 | $i(v2) | ~ $i(v1) | ~ c_Nat__Numeral_Oneg(v3) | ~ % 235.43/38.14 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, v0) | ? [v4: % 235.43/38.14 | $i] : (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v4 & % 235.43/38.14 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v4 & % 235.43/38.14 | $i(v4))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.14 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v0) | ~ % 235.43/38.14 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v3) | ~ % 235.43/38.14 | $i(v2) | ~ $i(v1) | ~ c_Nat__Numeral_Oneg(v3) | % 235.43/38.14 | c_Nat__Numeral_Oneg(v0) | ? [v4: $i] : % 235.43/38.14 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v4 & % 235.43/38.14 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v4 & % 235.43/38.14 | $i(v4))) & ! [v1: $i] : ! [v2: $i] : ( ~ % 235.43/38.14 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v2) | ~ % 235.43/38.14 | $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, % 235.43/38.14 | v0) | c_Nat__Numeral_Oneg(v2) | ? [v3: $i] : % 235.43/38.14 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v3 & % 235.43/38.14 | $i(v3))) & ! [v1: $i] : ! [v2: $i] : ( ~ % 235.43/38.14 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v2) | ~ % 235.43/38.14 | $i(v1) | c_Nat__Numeral_Oneg(v2) | ? [v3: $i] : % 235.43/38.14 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v3 & % 235.43/38.14 | $i(v3))) & ! [v1: $i] : ( ~ % 235.43/38.14 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v0) | ~ % 235.43/38.14 | $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, % 235.43/38.14 | v0) | ? [v2: $i] : % 235.43/38.14 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & % 235.43/38.14 | $i(v2))) & ! [v1: $i] : ( ~ % 235.43/38.14 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v0) | ~ % 235.43/38.14 | $i(v1) | c_Nat__Numeral_Oneg(v0) | ? [v2: $i] : % 235.43/38.14 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & % 235.43/38.14 | $i(v2)))) % 235.43/38.14 | % 235.43/38.14 | ALPHA: (fact_natfloor__zero) implies: % 235.43/38.14 | (117) ? [v0: $i] : ? [v1: $i] : (c_RComplete_Onatfloor(v0) = v1 & % 235.43/38.14 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 & % 235.43/38.14 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & % 235.43/38.14 | $i(v0)) % 235.43/38.14 | % 235.43/38.14 | ALPHA: (fact_zero__le__natfloor) implies: % 235.43/38.14 | (118) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) % 235.43/38.14 | & ! [v1: $i] : ! [v2: $i] : ( ~ (c_RComplete_Onatfloor(v1) = v2) % 235.43/38.14 | | ~ $i(v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, % 235.43/38.14 | v2))) % 235.43/38.14 | % 235.43/38.14 | ALPHA: (fact_natfloor__neg) implies: % 235.43/38.14 | (119) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 235.43/38.14 | = v1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) % 235.43/38.14 | & $i(v0) & ! [v2: $i] : ! [v3: $i] : (v3 = v1 | ~ % 235.43/38.14 | (c_RComplete_Onatfloor(v2) = v3) | ~ $i(v2) | ~ % 235.43/38.14 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0))) % 235.43/38.14 | % 235.43/38.14 | ALPHA: (fact_tsub__def) implies: % 235.43/38.14 | (120) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) % 235.43/38.14 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~ % 235.43/38.14 | (c_Nat__Transfer_Otsub(v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | % 235.43/38.14 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v1)) & ! [v1: % 235.43/38.14 | $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.14 | (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v1, v2) = v3) | ~ % 235.43/38.14 | $i(v2) | ~ $i(v1) | ~ % 235.43/38.14 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v1) | % 235.43/38.14 | (c_Nat__Transfer_Otsub(v1, v2) = v3 & $i(v3)))) % 235.43/38.14 | % 235.43/38.14 | ALPHA: (fact_one__code__numeral__code) implies: % 235.43/38.14 | (121) ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v1 & % 235.43/38.14 | c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral, % 235.43/38.14 | v1) = v0 & % 235.43/38.14 | c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = v0 & % 235.43/38.14 | $i(v1) & $i(v0)) % 235.43/38.14 | % 235.43/38.14 | ALPHA: (fact_real__of__nat__zero) implies: % 235.43/38.14 | (122) ? [v0: $i] : ? [v1: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v0) = v1 & % 235.43/38.14 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & % 235.43/38.14 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v1) & % 235.43/38.14 | $i(v0)) % 235.43/38.14 | % 235.43/38.14 | ALPHA: (fact_real__of__nat__zero__iff) implies: % 235.43/38.15 | (123) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 235.43/38.15 | = v1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) % 235.43/38.15 | & $i(v0) & ! [v2: $i] : (v2 = v1 | ~ % 235.43/38.15 | (c_RealDef_Oreal(tc_Nat_Onat, v2) = v0) | ~ $i(v2)) & ! [v2: % 235.43/38.15 | $i] : (v2 = v0 | ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2))) % 235.43/38.15 | % 235.43/38.15 | ALPHA: (fact_real__of__nat__le__zero__cancel__iff) implies: % 235.43/38.15 | (124) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 235.43/38.15 | = v1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) % 235.43/38.15 | & $i(v0) & ! [v2: $i] : ! [v3: $i] : (v2 = v1 | ~ % 235.43/38.15 | (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3) | ~ $i(v2) | ~ % 235.43/38.15 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0)) & ! % 235.43/38.15 | [v2: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2) | % 235.43/38.15 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0))) % 235.43/38.15 | % 235.43/38.15 | ALPHA: (fact_real__of__nat__gt__zero__cancel__iff) implies: % 235.43/38.15 | (125) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 235.43/38.15 | = v1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) % 235.43/38.15 | & $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.15 | (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3) | ~ $i(v2) | ~ % 235.43/38.15 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2) | % 235.43/38.15 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3)) & ! % 235.43/38.15 | [v2: $i] : ! [v3: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v2) = % 235.43/38.15 | v3) | ~ $i(v2) | ~ % 235.43/38.15 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) | % 235.43/38.15 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2))) % 235.43/38.15 | % 235.43/38.15 | ALPHA: (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J) % 235.43/38.15 | implies: % 235.43/38.15 | (126) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) % 235.43/38.15 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.15 | (c_Nat__Transfer_Otsub(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ % 235.43/38.15 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) | ~ % 235.43/38.15 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) | % 235.43/38.15 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3))) % 235.43/38.15 | % 235.43/38.15 | ALPHA: (fact_natfloor__div__nat) implies: % 235.43/38.15 | (127) ? [v0: $i] : ? [v1: $i] : % 235.43/38.15 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & % 235.43/38.15 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 & $i(v1) & $i(v0) & % 235.43/38.15 | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ % 235.43/38.15 | (c_RealDef_Oreal(tc_Nat_Onat, v2) = v4) | ~ % 235.43/38.15 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v3, v4) = v5) % 235.43/38.15 | | ~ $i(v3) | ~ $i(v2) | ~ % 235.43/38.15 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) | ~ % 235.43/38.15 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2) | ? [v6: $i] % 235.43/38.15 | : ? [v7: $i] : (c_Divides_Odiv__class_Odiv(tc_Nat_Onat, v7, v2) % 235.43/38.15 | = v6 & c_RComplete_Onatfloor(v5) = v6 & % 235.43/38.15 | c_RComplete_Onatfloor(v3) = v7 & $i(v7) & $i(v6)))) % 235.43/38.15 | % 235.43/38.15 | ALPHA: (fact_sum__power2__gt__zero__iff) implies: % 235.43/38.15 | (128) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) = % 235.43/38.15 | v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.15 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & % 235.43/38.15 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: % 235.43/38.15 | $i] : ! [v7: $i] : ! [v8: $i] : ( ~ % 235.43/38.15 | (c_Power_Opower__class_Opower(v5, v4, v2) = v6) | ~ % 235.43/38.15 | (c_Power_Opower__class_Opower(v5, v3, v2) = v7) | ~ % 235.43/38.15 | (c_Groups_Oplus__class_Oplus(v5, v6, v7) = v8) | ~ $i(v5) | ~ % 235.43/38.15 | $i(v4) | ~ $i(v3) | ~ class_Rings_Olinordered__idom(v5) | ? % 235.43/38.15 | [v9: $i] : (c_Groups_Ozero__class_Ozero(v5) = v9 & $i(v9) & ( ~ % 235.43/38.15 | (v9 = v3) | ~ (v4 = v3) | ~ % 235.43/38.15 | c_Orderings_Oord__class_Oless(v5, v3, v8)) & % 235.43/38.15 | (c_Orderings_Oord__class_Oless(v5, v9, v8) | (v9 = v3 & v4 = % 235.43/38.15 | v3))))) % 235.43/38.15 | % 235.43/38.15 | ALPHA: (fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J) % 235.43/38.15 | implies: % 235.43/38.15 | (129) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) % 235.43/38.15 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.15 | (c_Power_Opower__class_Opower(v2, v1, v0) = v3) | ~ $i(v2) | ~ % 235.43/38.15 | $i(v1) | ~ class_Rings_Ocomm__semiring__1(v2) | % 235.43/38.15 | (c_Groups_Oone__class_Oone(v2) = v3 & $i(v3)))) % 235.43/38.15 | % 235.43/38.15 | ALPHA: (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J) % 235.43/38.15 | implies: % 235.43/38.15 | (130) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) % 235.43/38.15 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.15 | (c_Power_Opower__class_Opower(tc_Int_Oint, v2, v1) = v3) | ~ % 235.43/38.15 | $i(v2) | ~ $i(v1) | ~ % 235.43/38.15 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) | % 235.43/38.15 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3))) % 235.43/38.15 | % 235.43/38.15 | ALPHA: (fact_power__eq__0__iff__number__of) implies: % 235.43/38.15 | (131) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) % 235.43/38.15 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 235.43/38.15 | $i] : ( ~ (c_Power_Opower__class_Opower(v3, v2, v4) = v5) | ~ % 235.43/38.15 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v4) | ~ % 235.43/38.15 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 235.43/38.15 | class_Rings_Ono__zero__divisors(v3) | ~ % 235.43/38.15 | class_Rings_Omult__zero(v3) | ~ class_Power_Opower(v3) | ~ % 235.43/38.15 | class_Rings_Ozero__neq__one(v3) | ? [v6: $i] : % 235.43/38.15 | (c_Groups_Ozero__class_Ozero(v3) = v6 & $i(v6) & ( ~ (v6 = v5) | % 235.43/38.15 | (v5 = v2 & ~ (v4 = v0))) & ( ~ (v6 = v2) | v5 = v2 | v4 = % 235.43/38.15 | v0)))) % 235.43/38.15 | % 235.43/38.15 | ALPHA: (fact_zero__less__power__nat__eq__number__of) implies: % 235.43/38.15 | (132) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) % 235.43/38.15 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v3 = v0 % 235.43/38.15 | | ~ (c_Power_Opower__class_Opower(tc_Nat_Onat, v2, v3) = v4) | % 235.43/38.15 | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v3) | ~ % 235.43/38.15 | $i(v2) | ~ $i(v1) | ~ % 235.43/38.15 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v4) | % 235.43/38.15 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2)) & ! [v1: $i] % 235.43/38.15 | : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 235.43/38.15 | (c_Power_Opower__class_Opower(tc_Nat_Onat, v2, v3) = v4) | ~ % 235.43/38.15 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v3) | ~ % 235.43/38.15 | $i(v2) | ~ $i(v1) | ~ % 235.43/38.15 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) | % 235.43/38.15 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v4)) & ! [v1: $i] % 235.43/38.15 | : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.15 | (c_Power_Opower__class_Opower(tc_Nat_Onat, v2, v0) = v3) | ~ % 235.43/38.15 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v0) | ~ % 235.43/38.15 | $i(v2) | ~ $i(v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, % 235.43/38.15 | v0, v3))) % 235.43/38.15 | % 235.43/38.15 | ALPHA: (fact_zero__le__zpower__abs) implies: % 235.43/38.15 | (133) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) % 235.43/38.15 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 235.43/38.15 | (c_Power_Opower__class_Opower(tc_Int_Oint, v3, v1) = v4) | ~ % 235.43/38.15 | (c_Groups_Oabs__class_Oabs(tc_Int_Oint, v2) = v3) | ~ $i(v2) | % 235.43/38.15 | ~ $i(v1) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, % 235.43/38.15 | v4))) % 235.43/38.15 | % 235.43/38.15 | ALPHA: (fact_power__0__left__number__of) implies: % 235.43/38.15 | (134) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) % 235.43/38.15 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 235.43/38.15 | $i] : (v5 = v4 | v3 = v0 | ~ (c_Power_Opower__class_Opower(v2, % 235.43/38.15 | v4, v3) = v5) | ~ % 235.43/38.15 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v3) | ~ % 235.43/38.15 | (c_Groups_Ozero__class_Ozero(v2) = v4) | ~ $i(v2) | ~ $i(v1) | % 235.43/38.15 | ~ class_Rings_Osemiring__0(v2) | ~ class_Power_Opower(v2)) & ! % 235.43/38.15 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 235.43/38.15 | (c_Power_Opower__class_Opower(v2, v3, v0) = v4) | ~ % 235.43/38.15 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v0) | ~ % 235.43/38.15 | (c_Groups_Ozero__class_Ozero(v2) = v3) | ~ $i(v2) | ~ $i(v1) | % 235.43/38.15 | ~ class_Rings_Osemiring__0(v2) | ~ class_Power_Opower(v2) | % 235.43/38.15 | (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4)))) % 235.43/38.15 | % 235.43/38.15 | ALPHA: (fact_zero__less__zpower__abs__iff) implies: % 235.43/38.15 | (135) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 235.43/38.15 | = v0 & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 & $i(v1) & % 235.43/38.15 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : % 235.43/38.15 | (v3 = v0 | ~ (c_Power_Opower__class_Opower(tc_Int_Oint, v4, v2) = % 235.43/38.15 | v5) | ~ (c_Groups_Oabs__class_Oabs(tc_Int_Oint, v3) = v4) | ~ % 235.43/38.15 | $i(v3) | ~ $i(v2) | c_Orderings_Oord__class_Oless(tc_Int_Oint, % 235.43/38.15 | v0, v5)) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v2 = v1 | % 235.43/38.15 | ~ (c_Power_Opower__class_Opower(tc_Int_Oint, v3, v2) = v4) | ~ % 235.43/38.15 | (c_Groups_Oabs__class_Oabs(tc_Int_Oint, v0) = v3) | ~ $i(v2) | % 235.43/38.15 | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v4)) & ! [v2: % 235.43/38.15 | $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 235.43/38.15 | (c_Power_Opower__class_Opower(tc_Int_Oint, v3, v1) = v4) | ~ % 235.43/38.15 | (c_Groups_Oabs__class_Oabs(tc_Int_Oint, v2) = v3) | ~ $i(v2) | % 235.43/38.15 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v4))) % 235.43/38.15 | % 235.43/38.15 | ALPHA: (fact_zero__eq__power2) implies: % 235.43/38.15 | (136) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) = % 235.43/38.15 | v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.15 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & % 235.43/38.15 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ % 235.43/38.15 | (c_Power_Opower__class_Opower(v4, v3, v2) = v5) | ~ $i(v4) | ~ % 235.43/38.15 | $i(v3) | ~ class_Rings_Oring__1__no__zero__divisors(v4) | ? % 235.43/38.15 | [v6: $i] : (c_Groups_Ozero__class_Ozero(v4) = v6 & $i(v6) & ( ~ % 235.43/38.15 | (v6 = v5) | v5 = v3) & ( ~ (v6 = v3) | v5 = v3)))) % 235.43/38.15 | % 235.43/38.15 | ALPHA: (fact_zero__power2) implies: % 235.43/38.15 | (137) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) = % 235.43/38.15 | v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.15 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & % 235.43/38.15 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 = % 235.43/38.15 | v4 | ~ (c_Power_Opower__class_Opower(v3, v4, v2) = v5) | ~ % 235.43/38.15 | (c_Groups_Ozero__class_Ozero(v3) = v4) | ~ $i(v3) | ~ % 235.43/38.15 | class_Rings_Osemiring__1(v3))) % 235.43/38.15 | % 235.43/38.15 | ALPHA: (fact_one__power2) implies: % 235.43/38.15 | (138) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) = % 235.43/38.15 | v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.15 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & % 235.43/38.15 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 = % 235.43/38.15 | v4 | ~ (c_Power_Opower__class_Opower(v3, v4, v2) = v5) | ~ % 235.43/38.15 | (c_Groups_Oone__class_Oone(v3) = v4) | ~ $i(v3) | ~ % 235.43/38.15 | class_Rings_Osemiring__1(v3))) % 235.43/38.15 | % 235.43/38.15 | ALPHA: (fact_abs__power2) implies: % 235.43/38.15 | (139) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) = % 235.43/38.15 | v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.15 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & % 235.43/38.15 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: % 235.43/38.15 | $i] : (v6 = v5 | ~ (c_Power_Opower__class_Opower(v4, v3, v2) = % 235.43/38.15 | v5) | ~ (c_Groups_Oabs__class_Oabs(v4, v5) = v6) | ~ $i(v4) | % 235.43/38.15 | ~ $i(v3) | ~ class_Rings_Olinordered__idom(v4))) % 235.43/38.15 | % 235.43/38.15 | ALPHA: (fact_power2__abs) implies: % 235.43/38.15 | (140) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) = % 235.43/38.15 | v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.15 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & % 235.43/38.15 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: % 235.43/38.15 | $i] : ( ~ (c_Power_Opower__class_Opower(v4, v5, v2) = v6) | ~ % 235.43/38.15 | (c_Groups_Oabs__class_Oabs(v4, v3) = v5) | ~ $i(v4) | ~ $i(v3) % 235.43/38.15 | | ~ class_Rings_Olinordered__idom(v4) | % 235.43/38.15 | (c_Power_Opower__class_Opower(v4, v3, v2) = v6 & $i(v6)))) % 235.43/38.15 | % 235.43/38.15 | ALPHA: (fact_power2__eq__imp__eq) implies: % 235.43/38.15 | (141) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) = % 235.43/38.15 | v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.15 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & % 235.43/38.15 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: % 235.43/38.15 | $i] : (v4 = v3 | ~ (c_Power_Opower__class_Opower(v5, v4, v2) = % 235.43/38.15 | v6) | ~ (c_Power_Opower__class_Opower(v5, v3, v2) = v6) | ~ % 235.43/38.15 | $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ % 235.43/38.15 | class_Rings_Olinordered__semidom(v5) | ? [v7: $i] : % 235.43/38.15 | (c_Groups_Ozero__class_Ozero(v5) = v7 & $i(v7) & ( ~ % 235.43/38.15 | c_Orderings_Oord__class_Oless__eq(v5, v7, v4) | ~ % 235.43/38.15 | c_Orderings_Oord__class_Oless__eq(v5, v7, v3))))) % 235.43/38.15 | % 235.43/38.15 | ALPHA: (fact_power2__le__imp__le) implies: % 235.43/38.15 | (142) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) = % 235.43/38.15 | v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.15 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & % 235.43/38.15 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: % 235.43/38.15 | $i] : ! [v7: $i] : ( ~ (c_Power_Opower__class_Opower(v5, v4, v2) % 235.43/38.15 | = v6) | ~ (c_Power_Opower__class_Opower(v5, v3, v2) = v7) | ~ % 235.43/38.15 | $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ % 235.43/38.15 | class_Rings_Olinordered__semidom(v5) | ~ % 235.43/38.15 | c_Orderings_Oord__class_Oless__eq(v5, v6, v7) | % 235.43/38.15 | c_Orderings_Oord__class_Oless__eq(v5, v4, v3) | ? [v8: $i] : % 235.43/38.15 | (c_Groups_Ozero__class_Ozero(v5) = v8 & $i(v8) & ~ % 235.43/38.15 | c_Orderings_Oord__class_Oless__eq(v5, v8, v3)))) % 235.43/38.15 | % 235.43/38.15 | ALPHA: (fact_zero__le__power2) implies: % 235.43/38.15 | (143) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) = % 235.43/38.15 | v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.15 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & % 235.43/38.15 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ % 235.43/38.15 | (c_Power_Opower__class_Opower(v4, v3, v2) = v5) | ~ $i(v4) | ~ % 235.43/38.15 | $i(v3) | ~ class_Rings_Olinordered__idom(v4) | ? [v6: $i] : % 235.43/38.15 | (c_Groups_Ozero__class_Ozero(v4) = v6 & $i(v6) & % 235.43/38.15 | c_Orderings_Oord__class_Oless__eq(v4, v6, v5)))) % 235.43/38.15 | % 235.43/38.15 | ALPHA: (fact_power2__less__0) implies: % 235.43/38.15 | (144) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) = % 235.43/38.15 | v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.15 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & % 235.43/38.15 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ % 235.43/38.15 | (c_Power_Opower__class_Opower(v4, v3, v2) = v5) | ~ $i(v4) | ~ % 235.43/38.15 | $i(v3) | ~ class_Rings_Olinordered__idom(v4) | ? [v6: $i] : % 235.43/38.15 | (c_Groups_Ozero__class_Ozero(v4) = v6 & $i(v6) & ~ % 235.43/38.15 | c_Orderings_Oord__class_Oless(v4, v5, v6)))) % 235.43/38.15 | % 235.43/38.15 | ALPHA: (fact_zero__less__power2) implies: % 235.43/38.15 | (145) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) = % 235.43/38.15 | v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.15 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & % 235.43/38.15 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ % 235.43/38.15 | (c_Power_Opower__class_Opower(v4, v3, v2) = v5) | ~ $i(v4) | ~ % 235.43/38.15 | $i(v3) | ~ class_Rings_Olinordered__idom(v4) | ? [v6: $i] : % 235.43/38.15 | (c_Groups_Ozero__class_Ozero(v4) = v6 & $i(v6) & ( ~ (v6 = v3) | % 235.43/38.15 | ~ c_Orderings_Oord__class_Oless(v4, v3, v5)) & (v6 = v3 | % 235.43/38.15 | c_Orderings_Oord__class_Oless(v4, v6, v5))))) % 235.43/38.16 | % 235.43/38.16 | ALPHA: (fact_sum__power2__eq__zero__iff) implies: % 235.43/38.16 | (146) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) = % 235.43/38.16 | v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.16 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & % 235.43/38.16 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: % 235.43/38.16 | $i] : ! [v7: $i] : ! [v8: $i] : ( ~ % 235.43/38.16 | (c_Power_Opower__class_Opower(v5, v4, v2) = v6) | ~ % 235.43/38.16 | (c_Power_Opower__class_Opower(v5, v3, v2) = v7) | ~ % 235.43/38.16 | (c_Groups_Oplus__class_Oplus(v5, v6, v7) = v8) | ~ $i(v5) | ~ % 235.43/38.16 | $i(v4) | ~ $i(v3) | ~ class_Rings_Olinordered__idom(v5) | ? % 235.43/38.16 | [v9: $i] : (c_Groups_Ozero__class_Ozero(v5) = v9 & $i(v9) & ( ~ % 235.43/38.16 | (v9 = v8) | (v8 = v3 & v4 = v3)) & ( ~ (v9 = v3) | ~ (v4 = % 235.43/38.16 | v3) | v8 = v3)))) % 235.43/38.16 | % 235.43/38.16 | ALPHA: (fact_realpow__two__sum__zero__iff) implies: % 235.43/38.16 | (147) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : % 235.43/38.16 | (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.16 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & % 235.43/38.16 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v3 & $i(v3) & % 235.43/38.16 | $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] % 235.43/38.16 | : ! [v7: $i] : (v5 = v3 | ~ % 235.43/38.16 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v2) = v6) | % 235.43/38.16 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v2) = v7) | % 235.43/38.16 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v6, v7) = v3) | % 235.43/38.16 | ~ $i(v5) | ~ $i(v4)) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] % 235.43/38.16 | : ! [v7: $i] : (v4 = v3 | ~ % 235.43/38.16 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v2) = v6) | % 235.43/38.16 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v2) = v7) | % 235.43/38.16 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v6, v7) = v3) | % 235.43/38.16 | ~ $i(v5) | ~ $i(v4)) & ! [v4: $i] : ! [v5: $i] : (v5 = v3 | % 235.43/38.16 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v3, v2) = v4) | % 235.43/38.16 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v4) = v5))) % 235.43/38.16 | % 235.43/38.16 | ALPHA: (fact_two__realpow__ge__one) implies: % 235.43/38.16 | (148) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : % 235.43/38.16 | (c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 & % 235.43/38.16 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 & % 235.43/38.16 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v3) & $i(v2) % 235.43/38.16 | & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ( ~ % 235.43/38.16 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v3, v4) = v5) | % 235.43/38.16 | ~ $i(v4) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, % 235.43/38.16 | v0, v5))) % 235.43/38.16 | % 235.43/38.16 | ALPHA: (fact_two__realpow__gt) implies: % 235.43/38.16 | (149) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) = % 235.43/38.16 | v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.16 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & % 235.43/38.16 | $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~ % 235.43/38.16 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v2, v3) = v4) | % 235.43/38.16 | ~ $i(v3) | ? [v5: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v3) = v5 & % 235.43/38.16 | $i(v5) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, % 235.43/38.16 | v4)))) % 235.43/38.16 | % 235.43/38.16 | ALPHA: (fact_power2__less__imp__less) implies: % 235.43/38.16 | (150) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) = % 235.43/38.16 | v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.16 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & % 235.43/38.16 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: % 235.43/38.16 | $i] : ! [v7: $i] : ( ~ (c_Power_Opower__class_Opower(v5, v4, v2) % 235.43/38.16 | = v6) | ~ (c_Power_Opower__class_Opower(v5, v3, v2) = v7) | ~ % 235.43/38.16 | $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ % 235.43/38.16 | class_Rings_Olinordered__semidom(v5) | ~ % 235.43/38.16 | c_Orderings_Oord__class_Oless(v5, v6, v7) | % 235.43/38.16 | c_Orderings_Oord__class_Oless(v5, v4, v3) | ? [v8: $i] : % 235.43/38.16 | (c_Groups_Ozero__class_Ozero(v5) = v8 & $i(v8) & ~ % 235.43/38.16 | c_Orderings_Oord__class_Oless__eq(v5, v8, v3)))) % 235.43/38.16 | % 235.43/38.16 | ALPHA: (fact_sum__power2__ge__zero) implies: % 235.43/38.16 | (151) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) = % 235.43/38.16 | v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.16 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & % 235.43/38.16 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: % 235.43/38.16 | $i] : ! [v7: $i] : ! [v8: $i] : ( ~ % 235.43/38.16 | (c_Power_Opower__class_Opower(v5, v4, v2) = v6) | ~ % 235.43/38.16 | (c_Power_Opower__class_Opower(v5, v3, v2) = v7) | ~ % 235.43/38.16 | (c_Groups_Oplus__class_Oplus(v5, v6, v7) = v8) | ~ $i(v5) | ~ % 235.43/38.16 | $i(v4) | ~ $i(v3) | ~ class_Rings_Olinordered__idom(v5) | ? % 235.43/38.16 | [v9: $i] : (c_Groups_Ozero__class_Ozero(v5) = v9 & $i(v9) & % 235.43/38.16 | c_Orderings_Oord__class_Oless__eq(v5, v9, v8)))) % 235.43/38.16 | % 235.43/38.16 | ALPHA: (fact_sum__power2__le__zero__iff) implies: % 235.43/38.16 | (152) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) = % 235.43/38.16 | v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.16 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & % 235.43/38.16 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: % 235.43/38.16 | $i] : ! [v7: $i] : ! [v8: $i] : ( ~ % 235.43/38.16 | (c_Power_Opower__class_Opower(v5, v4, v2) = v6) | ~ % 235.43/38.16 | (c_Power_Opower__class_Opower(v5, v3, v2) = v7) | ~ % 235.43/38.16 | (c_Groups_Oplus__class_Oplus(v5, v6, v7) = v8) | ~ $i(v5) | ~ % 235.43/38.16 | $i(v4) | ~ $i(v3) | ~ class_Rings_Olinordered__idom(v5) | ? % 235.43/38.16 | [v9: $i] : (c_Groups_Ozero__class_Ozero(v5) = v9 & $i(v9) & ( ~ % 235.43/38.16 | (v9 = v3) | ~ (v4 = v3) | % 235.43/38.16 | c_Orderings_Oord__class_Oless__eq(v5, v8, v3)) & ( ~ % 235.43/38.16 | c_Orderings_Oord__class_Oless__eq(v5, v8, v9) | (v9 = v3 & v4 % 235.43/38.16 | = v3))))) % 235.43/38.16 | % 235.43/38.16 | ALPHA: (fact_not__sum__power2__lt__zero) implies: % 235.43/38.16 | (153) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) = % 235.43/38.16 | v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.16 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & % 235.43/38.16 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: % 235.43/38.16 | $i] : ! [v7: $i] : ! [v8: $i] : ( ~ % 235.43/38.16 | (c_Power_Opower__class_Opower(v5, v4, v2) = v6) | ~ % 235.43/38.16 | (c_Power_Opower__class_Opower(v5, v3, v2) = v7) | ~ % 235.43/38.16 | (c_Groups_Oplus__class_Oplus(v5, v6, v7) = v8) | ~ $i(v5) | ~ % 235.43/38.16 | $i(v4) | ~ $i(v3) | ~ class_Rings_Olinordered__idom(v5) | ? % 235.43/38.16 | [v9: $i] : (c_Groups_Ozero__class_Ozero(v5) = v9 & $i(v9) & ~ % 235.43/38.16 | c_Orderings_Oord__class_Oless(v5, v8, v9)))) % 235.43/38.16 | % 235.43/38.16 | ALPHA: (fact_Suc__n__div__2__gt__zero) implies: % 235.43/38.16 | (154) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 235.43/38.16 | (c_Int_OBit1(c_Int_OPls) = v2 & c_Int_OBit0(v2) = v3 & % 235.43/38.16 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v3) = v4 & % 235.43/38.16 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & % 235.43/38.16 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v4) & $i(v3) & % 235.43/38.16 | $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : ( ~ % 235.43/38.16 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v5, v1) = v6) | ~ % 235.43/38.16 | $i(v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v5) | % 235.43/38.16 | ? [v7: $i] : (c_Divides_Odiv__class_Odiv(tc_Nat_Onat, v6, v4) = % 235.43/38.16 | v7 & $i(v7) & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, % 235.43/38.16 | v7)))) % 235.43/38.16 | % 235.43/38.16 | ALPHA: (fact_div__2__gt__zero) implies: % 235.43/38.16 | (155) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 235.43/38.16 | (c_Int_OBit1(c_Int_OPls) = v2 & c_Int_OBit0(v2) = v3 & % 235.43/38.16 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v3) = v4 & % 235.43/38.16 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & % 235.43/38.16 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 & $i(v4) & $i(v3) & % 235.43/38.16 | $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : ( ~ % 235.43/38.16 | (c_Divides_Odiv__class_Odiv(tc_Nat_Onat, v5, v4) = v6) | ~ % 235.43/38.16 | $i(v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v5) | % 235.43/38.16 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v6))) % 235.43/38.16 | % 235.43/38.16 | ALPHA: (fact_less__one__imp__sqr__less__one) implies: % 235.43/38.16 | (156) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : % 235.43/38.16 | (c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 & % 235.43/38.16 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & % 235.43/38.16 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v3) & $i(v2) % 235.43/38.16 | & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ( ~ % 235.43/38.16 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v3) = v5) | % 235.43/38.16 | ~ $i(v4) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, % 235.43/38.16 | v0) | ? [v6: $i] : % 235.43/38.16 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v4) = v6 & $i(v6) & % 235.43/38.16 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v0)))) % 235.43/38.16 | % 235.43/38.16 | ALPHA: (fact_div__less) implies: % 235.43/38.16 | (157) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) % 235.43/38.16 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~ % 235.43/38.16 | (c_Divides_Odiv__class_Odiv(tc_Nat_Onat, v2, v1) = v3) | ~ % 235.43/38.16 | $i(v2) | ~ $i(v1) | ~ % 235.43/38.16 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1))) % 235.43/38.16 | % 235.43/38.16 | ALPHA: (fact_div__le__mono2) implies: % 235.43/38.16 | (158) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) % 235.43/38.16 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 235.43/38.16 | $i] : ( ~ (c_Divides_Odiv__class_Odiv(tc_Nat_Onat, v1, v3) = v5) % 235.43/38.16 | | ~ (c_Divides_Odiv__class_Odiv(tc_Nat_Onat, v1, v2) = v4) | ~ % 235.43/38.16 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 235.43/38.16 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v2) | ~ % 235.43/38.16 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) | % 235.43/38.16 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5))) % 235.43/38.16 | % 235.43/38.16 | ALPHA: (fact_div__less__dividend) implies: % 235.43/38.16 | (159) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) = % 235.43/38.16 | v0 & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 & $i(v1) & % 235.43/38.16 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 235.43/38.16 | (c_Divides_Odiv__class_Odiv(tc_Nat_Onat, v2, v3) = v4) | ~ % 235.43/38.16 | $i(v3) | ~ $i(v2) | ~ % 235.43/38.16 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2) | ~ % 235.43/38.16 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) | % 235.43/38.16 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v2))) % 235.43/38.16 | % 235.43/38.16 | ALPHA: (fact_add__self__div__2) implies: % 235.43/38.16 | (160) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) = % 235.43/38.16 | v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.16 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & % 235.43/38.16 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~ % 235.43/38.16 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v3) = v4) | ~ % 235.43/38.16 | $i(v3) | c_Divides_Odiv__class_Odiv(tc_Nat_Onat, v4, v2) = v3)) % 235.43/38.16 | % 235.43/38.16 | ALPHA: (fact_power__strict__mono) implies: % 235.43/38.16 | (161) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) % 235.43/38.16 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 235.43/38.16 | $i] : ! [v6: $i] : ( ~ (c_Power_Opower__class_Opower(v4, v3, v1) % 235.43/38.16 | = v5) | ~ (c_Power_Opower__class_Opower(v4, v2, v1) = v6) | ~ % 235.43/38.16 | $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 235.43/38.16 | class_Rings_Olinordered__semidom(v4) | ~ % 235.43/38.16 | c_Orderings_Oord__class_Oless(v4, v3, v2) | ~ % 235.43/38.16 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) | % 235.43/38.16 | c_Orderings_Oord__class_Oless(v4, v5, v6) | ? [v7: $i] : % 235.43/38.16 | (c_Groups_Ozero__class_Ozero(v4) = v7 & $i(v7) & ~ % 235.43/38.16 | c_Orderings_Oord__class_Oless__eq(v4, v7, v3)))) % 235.43/38.16 | % 235.43/38.16 | ALPHA: (fact_one__less__power) implies: % 235.43/38.16 | (162) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) % 235.43/38.16 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 235.43/38.16 | (c_Power_Opower__class_Opower(v3, v2, v1) = v4) | ~ $i(v3) | ~ % 235.43/38.16 | $i(v2) | ~ $i(v1) | ~ class_Rings_Olinordered__semidom(v3) | ~ % 235.43/38.16 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) | ? [v5: $i] % 235.43/38.16 | : (c_Groups_Oone__class_Oone(v3) = v5 & $i(v5) & ( ~ % 235.43/38.16 | c_Orderings_Oord__class_Oless(v3, v5, v2) | % 235.43/38.16 | c_Orderings_Oord__class_Oless(v3, v5, v4))))) % 235.43/38.16 | % 235.43/38.16 | ALPHA: (fact_zdiv__self) implies: % 235.43/38.16 | (163) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = % 235.43/38.16 | v1 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & % 235.43/38.16 | $i(v0) & ! [v2: $i] : ! [v3: $i] : (v3 = v1 | v2 = v0 | ~ % 235.43/38.16 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v2, v2) = v3) | ~ % 235.43/38.16 | $i(v2))) % 235.43/38.16 | % 235.43/38.16 | ALPHA: (fact_zdiv__zero) implies: % 235.43/38.16 | (164) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) % 235.43/38.16 | & ! [v1: $i] : ! [v2: $i] : (v2 = v0 | ~ % 235.43/38.16 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v0, v1) = v2) | ~ % 235.43/38.16 | $i(v1))) % 235.43/38.16 | % 235.43/38.16 | ALPHA: (fact_Divides_Otransfer__nat__int__function__closures_I1_J) implies: % 235.43/38.16 | (165) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) % 235.43/38.16 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.16 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v2, v1) = v3) | ~ % 235.43/38.16 | $i(v2) | ~ $i(v1) | ~ % 235.43/38.16 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) | ~ % 235.43/38.16 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) | % 235.43/38.16 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3))) % 235.43/38.16 | % 235.43/38.16 | ALPHA: (fact_div__neg__pos__less0) implies: % 235.43/38.16 | (166) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) % 235.43/38.16 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.16 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v2, v1) = v3) | ~ % 235.43/38.16 | $i(v2) | ~ $i(v1) | ~ % 235.43/38.16 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0) | ~ % 235.43/38.16 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1) | % 235.43/38.16 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v0))) % 235.43/38.16 | % 235.43/38.16 | ALPHA: (fact_neg__imp__zdiv__neg__iff) implies: % 235.43/38.16 | (167) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) % 235.43/38.16 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.16 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v1, v2) = v3) | ~ % 235.43/38.16 | $i(v2) | ~ $i(v1) | ~ % 235.43/38.16 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v0) | ~ % 235.43/38.16 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0) | % 235.43/38.16 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1)) & ! [v1: $i] % 235.43/38.16 | : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.16 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v1, v2) = v3) | ~ % 235.43/38.16 | $i(v2) | ~ $i(v1) | ~ % 235.43/38.16 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0) | ~ % 235.43/38.16 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1) | % 235.43/38.16 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v0))) % 235.43/38.16 | % 235.43/38.16 | ALPHA: (fact_pos__imp__zdiv__neg__iff) implies: % 235.43/38.16 | (168) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) % 235.43/38.16 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.16 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v1, v2) = v3) | ~ % 235.43/38.16 | $i(v2) | ~ $i(v1) | ~ % 235.43/38.16 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v0) | ~ % 235.43/38.16 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v2) | % 235.43/38.16 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0)) & ! [v1: $i] % 235.43/38.16 | : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.16 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v1, v2) = v3) | ~ % 235.43/38.16 | $i(v2) | ~ $i(v1) | ~ % 235.43/38.16 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | ~ % 235.43/38.16 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v2) | % 235.43/38.16 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v0))) % 235.43/38.16 | % 235.43/38.16 | ALPHA: (fact_zdiv__eq__0__iff) implies: % 235.43/38.17 | (169) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) % 235.43/38.17 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~ % 235.43/38.17 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v2, v1) = v3) | ~ % 235.43/38.17 | $i(v2) | ~ $i(v1) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v0) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2)) & ! [v1: $i] % 235.43/38.17 | : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~ % 235.43/38.17 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v2, v1) = v3) | ~ % 235.43/38.17 | $i(v2) | ~ $i(v1) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1)) & ! [v1: $i] % 235.43/38.17 | : ! [v2: $i] : (v2 = v0 | ~ % 235.43/38.17 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v1, v0) = v2) | ~ % 235.43/38.17 | $i(v1)) & ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 235.43/38.17 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v2, v1) = v0) | ~ % 235.43/38.17 | $i(v2) | ~ $i(v1) | % 235.43/38.17 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v0) | % 235.43/38.17 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2)) & ! [v1: % 235.43/38.17 | $i] : ! [v2: $i] : (v1 = v0 | ~ % 235.43/38.17 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v2, v1) = v0) | ~ % 235.43/38.17 | $i(v2) | ~ $i(v1) | % 235.43/38.17 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v0) | % 235.43/38.17 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1)) & ! [v1: $i] % 235.43/38.17 | : ! [v2: $i] : (v1 = v0 | ~ % 235.43/38.17 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v2, v1) = v0) | ~ % 235.43/38.17 | $i(v2) | ~ $i(v1) | % 235.43/38.17 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) | % 235.43/38.17 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2)) & ! [v1: $i] % 235.43/38.17 | : ! [v2: $i] : (v1 = v0 | ~ % 235.43/38.17 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v2, v1) = v0) | ~ % 235.43/38.17 | $i(v2) | ~ $i(v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint, % 235.43/38.17 | v2, v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2))) % 235.43/38.17 | % 235.43/38.17 | ALPHA: (fact_pos__imp__zdiv__nonneg__iff) implies: % 235.43/38.17 | (170) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) % 235.43/38.17 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.17 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v1, v2) = v3) | ~ % 235.43/38.17 | $i(v2) | ~ $i(v1) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v2) | % 235.43/38.17 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1)) & ! [v1: % 235.43/38.17 | $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.17 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v1, v2) = v3) | ~ % 235.43/38.17 | $i(v2) | ~ $i(v1) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v2) | % 235.43/38.17 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3))) % 235.43/38.17 | % 235.43/38.17 | ALPHA: (fact_pos__imp__zdiv__pos__iff) implies: % 235.43/38.17 | (171) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) % 235.43/38.17 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.17 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v1, v2) = v3) | ~ % 235.43/38.17 | $i(v2) | ~ $i(v1) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v1) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v2) | % 235.43/38.17 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3)) & ! [v1: $i] % 235.43/38.17 | : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.17 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v1, v2) = v3) | ~ % 235.43/38.17 | $i(v2) | ~ $i(v1) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v2) | % 235.43/38.17 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v1))) % 235.43/38.17 | % 235.43/38.17 | ALPHA: (fact_nonneg1__imp__zdiv__pos__iff) implies: % 235.43/38.17 | (172) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) % 235.43/38.17 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.17 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v2, v1) = v3) | ~ % 235.43/38.17 | $i(v2) | ~ $i(v1) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v2) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1) | % 235.43/38.17 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3)) & ! [v1: $i] % 235.43/38.17 | : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.17 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v2, v1) = v3) | ~ % 235.43/38.17 | $i(v2) | ~ $i(v1) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3) | % 235.43/38.17 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v2)) & ! [v1: % 235.43/38.17 | $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.17 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v2, v1) = v3) | ~ % 235.43/38.17 | $i(v2) | ~ $i(v1) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3) | % 235.43/38.17 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1))) % 235.43/38.17 | % 235.43/38.17 | ALPHA: (fact_zdiv__mono2) implies: % 235.43/38.17 | (173) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) % 235.43/38.17 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 235.43/38.17 | $i] : ( ~ (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v3, v2) = v5) % 235.43/38.17 | | ~ (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v3, v1) = v4) | ~ % 235.43/38.17 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v1) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v2) | % 235.43/38.17 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v4, v5))) % 235.43/38.17 | % 235.43/38.17 | ALPHA: (fact_div__nonneg__neg__le0) implies: % 235.43/38.17 | (174) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) % 235.43/38.17 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.17 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v2, v1) = v3) | ~ % 235.43/38.17 | $i(v2) | ~ $i(v1) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | % 235.43/38.17 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, v0))) % 235.43/38.17 | % 235.43/38.17 | ALPHA: (fact_div__pos__pos__trivial) implies: % 235.43/38.17 | (175) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) % 235.43/38.17 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~ % 235.43/38.17 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v2, v1) = v3) | ~ % 235.43/38.17 | $i(v2) | ~ $i(v1) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1))) % 235.43/38.17 | % 235.43/38.17 | ALPHA: (fact_neg__imp__zdiv__nonneg__iff) implies: % 235.43/38.17 | (176) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) % 235.43/38.17 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.17 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v1, v2) = v3) | ~ % 235.43/38.17 | $i(v2) | ~ $i(v1) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0) | % 235.43/38.17 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3)) & ! [v1: % 235.43/38.17 | $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.17 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v1, v2) = v3) | ~ % 235.43/38.17 | $i(v2) | ~ $i(v1) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0) | % 235.43/38.17 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0))) % 235.43/38.17 | % 235.43/38.17 | ALPHA: (fact_div__nonpos__pos__le0) implies: % 235.43/38.17 | (177) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) % 235.43/38.17 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.17 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v2, v1) = v3) | ~ % 235.43/38.17 | $i(v2) | ~ $i(v1) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v0) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1) | % 235.43/38.17 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, v0))) % 235.43/38.17 | % 235.43/38.17 | ALPHA: (fact_zdiv__mono2__neg) implies: % 235.43/38.17 | (178) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) % 235.43/38.17 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 235.43/38.17 | $i] : ( ~ (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v3, v2) = v4) % 235.43/38.17 | | ~ (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v3, v1) = v5) | ~ % 235.43/38.17 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v1) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v0) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v2) | % 235.43/38.17 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v4, v5))) % 235.43/38.17 | % 235.43/38.17 | ALPHA: (fact_div__neg__neg__trivial) implies: % 235.43/38.17 | (179) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) % 235.43/38.17 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~ % 235.43/38.17 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v2, v1) = v3) | ~ % 235.43/38.17 | $i(v2) | ~ $i(v1) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v0) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2))) % 235.43/38.17 | % 235.43/38.17 | ALPHA: (fact_zdiv__mono1) implies: % 235.43/38.17 | (180) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) % 235.43/38.17 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 235.43/38.17 | $i] : ( ~ (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v3, v1) = v4) % 235.43/38.17 | | ~ (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v2, v1) = v5) | ~ % 235.43/38.17 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, v2) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1) | % 235.43/38.17 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v4, v5))) % 235.43/38.17 | % 235.43/38.17 | ALPHA: (fact_zdiv__mono1__neg) implies: % 235.43/38.17 | (181) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) % 235.43/38.17 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 235.43/38.17 | $i] : ( ~ (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v3, v1) = v5) % 235.43/38.17 | | ~ (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v2, v1) = v4) | ~ % 235.43/38.17 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, v2) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | % 235.43/38.17 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v4, v5))) % 235.43/38.17 | % 235.43/38.17 | ALPHA: (fact_int__div__less__self) implies: % 235.43/38.17 | (182) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = % 235.43/38.17 | v1 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & % 235.43/38.17 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 235.43/38.17 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v3, v2) = v4) | ~ % 235.43/38.17 | $i(v3) | ~ $i(v2) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v3) | % 235.43/38.17 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v4, v3))) % 235.43/38.17 | % 235.43/38.17 | ALPHA: (fact_zdiv__number__of__Bit1) implies: % 235.43/38.17 | (183) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = % 235.43/38.17 | v1 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v1) & % 235.43/38.17 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! % 235.43/38.17 | [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~ % 235.43/38.17 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v5, v7) = v8) | ~ % 235.43/38.17 | (c_Int_OBit1(v2) = v4) | ~ (c_Int_OBit0(v3) = v6) | ~ % 235.43/38.17 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v6) = v7) | ~ % 235.43/38.17 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v4) = v5) | ~ % 235.43/38.17 | $i(v3) | ~ $i(v2) | ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : % 235.43/38.17 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v3) = v9 & $i(v9) % 235.43/38.17 | & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v9) | % 235.43/38.17 | (v11 = v8 & c_Divides_Odiv__class_Odiv(tc_Int_Oint, v10, v9) % 235.43/38.17 | = v8 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = % 235.43/38.17 | v10 & $i(v10) & $i(v8))))) & ! [v2: $i] : ! [v3: $i] : ! % 235.43/38.17 | [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~ % 235.43/38.17 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v6, v4) = v7) | ~ % 235.43/38.17 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v3) = v4) | ~ % 235.43/38.17 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v5) | ~ % 235.43/38.17 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v5, v1) = v6) | ~ % 235.43/38.17 | $i(v3) | ~ $i(v2) | % 235.43/38.17 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v4) | ? [v8: % 235.43/38.17 | $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : % 235.43/38.17 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v9, v11) = v7 & % 235.43/38.17 | c_Int_OBit1(v2) = v8 & c_Int_OBit0(v3) = v10 & % 235.43/38.17 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v10) = v11 & % 235.43/38.17 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v8) = v9 & % 235.43/38.17 | $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7)))) % 235.43/38.17 | % 235.43/38.17 | ALPHA: (fact_power__eq__0__iff) implies: % 235.43/38.17 | (184) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) % 235.43/38.17 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 235.43/38.17 | (c_Power_Opower__class_Opower(v3, v2, v1) = v4) | ~ $i(v3) | ~ % 235.43/38.17 | $i(v2) | ~ $i(v1) | ~ class_Rings_Ono__zero__divisors(v3) | ~ % 235.43/38.17 | class_Rings_Omult__zero(v3) | ~ class_Power_Opower(v3) | ~ % 235.43/38.17 | class_Rings_Ozero__neq__one(v3) | ? [v5: $i] : % 235.43/38.17 | (c_Groups_Ozero__class_Ozero(v3) = v5 & $i(v5) & ( ~ (v5 = v4) | % 235.43/38.17 | (v4 = v2 & ~ (v1 = v0))) & ( ~ (v5 = v2) | v4 = v2 | v1 = % 235.43/38.17 | v0)))) % 235.43/38.17 | % 235.43/38.17 | ALPHA: (fact_power__0) implies: % 235.43/38.17 | (185) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) % 235.43/38.17 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.17 | (c_Power_Opower__class_Opower(v2, v1, v0) = v3) | ~ $i(v2) | ~ % 235.43/38.17 | $i(v1) | ~ class_Power_Opower(v2) | % 235.43/38.17 | (c_Groups_Oone__class_Oone(v2) = v3 & $i(v3)))) % 235.43/38.17 | % 235.43/38.17 | ALPHA: (fact_zero__less__power__nat__eq) implies: % 235.43/38.17 | (186) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) % 235.43/38.17 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 235.43/38.17 | (c_Power_Opower__class_Opower(tc_Nat_Onat, v2, v1) = v3) | ~ % 235.43/38.17 | $i(v2) | ~ $i(v1) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) | % 235.43/38.17 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2)) & ! [v1: $i] % 235.43/38.17 | : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.17 | (c_Power_Opower__class_Opower(tc_Nat_Onat, v2, v1) = v3) | ~ % 235.43/38.17 | $i(v2) | ~ $i(v1) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) | % 235.43/38.17 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3)) & ! [v1: $i] % 235.43/38.17 | : ! [v2: $i] : ( ~ (c_Power_Opower__class_Opower(tc_Nat_Onat, v1, % 235.43/38.17 | v0) = v2) | ~ $i(v1) | % 235.43/38.17 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2))) % 235.43/38.17 | % 235.43/38.17 | ALPHA: (fact_nat__power__less__imp__less) implies: % 235.43/38.17 | (187) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) % 235.43/38.17 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 235.43/38.17 | $i] : ( ~ (c_Power_Opower__class_Opower(tc_Nat_Onat, v3, v2) = % 235.43/38.17 | v4) | ~ (c_Power_Opower__class_Opower(tc_Nat_Onat, v3, v1) = % 235.43/38.17 | v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) | % 235.43/38.17 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1))) % 235.43/38.17 | % 235.43/38.17 | ALPHA: (fact_power__0__left) implies: % 235.43/38.17 | (188) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) % 235.43/38.17 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v3 % 235.43/38.17 | | v1 = v0 | ~ (c_Power_Opower__class_Opower(v2, v3, v1) = v4) | % 235.43/38.17 | ~ (c_Groups_Ozero__class_Ozero(v2) = v3) | ~ $i(v2) | ~ $i(v1) % 235.43/38.17 | | ~ class_Rings_Osemiring__0(v2) | ~ class_Power_Opower(v2)) & % 235.43/38.17 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.17 | (c_Power_Opower__class_Opower(v1, v2, v0) = v3) | ~ % 235.43/38.17 | (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ $i(v1) | ~ % 235.43/38.17 | class_Rings_Osemiring__0(v1) | ~ class_Power_Opower(v1) | % 235.43/38.17 | (c_Groups_Oone__class_Oone(v1) = v3 & $i(v3)))) % 235.43/38.17 | % 235.43/38.17 | ALPHA: (fact_power__eq__imp__eq__base) implies: % 235.43/38.17 | (189) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) % 235.43/38.17 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 235.43/38.17 | $i] : (v3 = v1 | ~ (c_Power_Opower__class_Opower(v4, v3, v2) = % 235.43/38.17 | v5) | ~ (c_Power_Opower__class_Opower(v4, v1, v2) = v5) | ~ % 235.43/38.17 | $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 235.43/38.17 | class_Rings_Olinordered__semidom(v4) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) | ? [v6: $i] % 235.43/38.17 | : (c_Groups_Ozero__class_Ozero(v4) = v6 & $i(v6) & ( ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless__eq(v4, v6, v3) | ~ % 235.43/38.17 | c_Orderings_Oord__class_Oless__eq(v4, v6, v1))))) % 235.43/38.17 | % 235.43/38.17 | ALPHA: (fact_csqrt) implies: % 235.43/38.17 | (190) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) = % 235.43/38.17 | v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.17 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & % 235.43/38.17 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~ % 235.43/38.17 | (c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt(v3) = v4) | ~ % 235.43/38.17 | $i(v3) | c_Power_Opower__class_Opower(tc_Complex_Ocomplex, v4, % 235.43/38.17 | v2) = v3)) % 235.43/38.17 | % 235.43/38.17 | ALPHA: (fact_lemma__sqrt__hcomplex__capprox) implies: % 235.43/38.17 | (191) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 235.43/38.17 | (c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 & % 235.43/38.17 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v4 & % 235.43/38.18 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 & % 235.43/38.18 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v4) & % 235.43/38.18 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : ! % 235.43/38.18 | [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] % 235.43/38.18 | : ( ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v6, v4) = v9) % 235.43/38.18 | | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v4) = % 235.43/38.18 | v10) | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, % 235.43/38.18 | v7, v3) = v8) | ~ % 235.43/38.18 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v9, v10) = v11) | % 235.43/38.18 | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ % 235.43/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v6) | ~ % 235.43/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v5) | ~ % 235.43/38.18 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v8) | ~ % 235.43/38.18 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v8) | ~ % 235.43/38.18 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v7) | ? % 235.43/38.18 | [v12: $i] : (c_NthRoot_Osqrt(v11) = v12 & $i(v12) & % 235.43/38.18 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12, v7)))) % 235.43/38.18 | % 235.43/38.18 | ALPHA: (fact_cos__x__y__le__one) implies: % 235.43/38.18 | (192) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : % 235.43/38.18 | (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.18 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & % 235.43/38.18 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v3 & $i(v3) & $i(v2) % 235.43/38.18 | & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! % 235.43/38.18 | [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ( ~ % 235.43/38.18 | (c_NthRoot_Osqrt(v8) = v9) | ~ % 235.43/38.18 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v2) = v6) | % 235.43/38.18 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v2) = v7) | % 235.43/38.18 | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v9) = % 235.43/38.18 | v10) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v6, % 235.43/38.18 | v7) = v8) | ~ $i(v5) | ~ $i(v4) | ? [v11: $i] : % 235.43/38.18 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v10) = v11 & $i(v11) % 235.43/38.18 | & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v11, % 235.43/38.18 | v3)))) % 235.43/38.18 | % 235.43/38.18 | ALPHA: (fact_real__sqrt__two__ge__zero) implies: % 235.43/38.18 | (193) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 235.43/38.18 | (c_NthRoot_Osqrt(v3) = v4 & c_Int_OBit1(c_Int_OPls) = v1 & % 235.43/38.18 | c_Int_OBit0(v1) = v2 & % 235.43/38.18 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 & % 235.43/38.18 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v4) & % 235.43/38.18 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & % 235.43/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v4)) % 235.43/38.18 | % 235.43/38.18 | ALPHA: (fact_real__sqrt__two__gt__zero) implies: % 235.43/38.18 | (194) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 235.43/38.18 | (c_NthRoot_Osqrt(v3) = v4 & c_Int_OBit1(c_Int_OPls) = v1 & % 235.43/38.18 | c_Int_OBit0(v1) = v2 & % 235.43/38.18 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 & % 235.43/38.18 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v4) & % 235.43/38.18 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & % 235.43/38.18 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4)) % 235.43/38.18 | % 235.43/38.18 | ALPHA: (fact_real__sqrt__two__gt__one) implies: % 235.43/38.18 | (195) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 235.43/38.18 | (c_NthRoot_Osqrt(v3) = v4 & c_Int_OBit1(c_Int_OPls) = v1 & % 235.43/38.18 | c_Int_OBit0(v1) = v2 & % 235.43/38.18 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 & % 235.43/38.18 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v4) & $i(v3) % 235.43/38.18 | & $i(v2) & $i(v1) & $i(v0) & % 235.43/38.18 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4)) % 235.43/38.18 | % 235.43/38.18 | ALPHA: (fact_real__sqrt__abs) implies: % 235.43/38.18 | (196) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) = % 235.43/38.18 | v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.18 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & % 235.43/38.18 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~ % 235.43/38.18 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v3, v2) = v4) | % 235.43/38.18 | ~ $i(v3) | ? [v5: $i] : (c_NthRoot_Osqrt(v4) = v5 & % 235.43/38.18 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v3) = v5 & % 235.43/38.18 | $i(v5)))) % 235.43/38.18 | % 235.43/38.18 | ALPHA: (fact_real__sqrt__pow2__iff) implies: % 235.43/38.18 | (197) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : % 235.43/38.18 | (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.18 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & % 235.43/38.18 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v3 & $i(v3) & % 235.43/38.18 | $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ( ~ % 235.43/38.18 | (c_NthRoot_Osqrt(v4) = v5) | ~ $i(v4) | ~ % 235.43/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v4) | % 235.43/38.18 | c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v2) = v4) & ! % 235.43/38.18 | [v4: $i] : ! [v5: $i] : ( ~ (c_NthRoot_Osqrt(v4) = v5) | ~ $i(v4) % 235.43/38.18 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v4) | % 235.43/38.18 | ? [v6: $i] : ( ~ (v6 = v4) & % 235.43/38.18 | c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v2) = v6 & % 235.43/38.18 | $i(v6)))) % 235.43/38.18 | % 235.43/38.18 | ALPHA: (fact_real__sqrt__pow2) implies: % 235.43/38.18 | (198) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : % 235.43/38.18 | (c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 & % 235.43/38.18 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & % 235.43/38.18 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v3) & % 235.43/38.18 | $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ( ~ % 235.43/38.18 | (c_NthRoot_Osqrt(v4) = v5) | ~ $i(v4) | ~ % 235.43/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v4) | % 235.43/38.18 | c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v3) = v4)) % 235.43/38.18 | % 235.43/38.18 | ALPHA: (fact_real__sqrt__unique) implies: % 235.43/38.18 | (199) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : % 235.43/38.18 | (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.18 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & % 235.43/38.18 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v3 & $i(v3) & % 235.43/38.18 | $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] % 235.43/38.18 | : (v6 = v5 | ~ (c_NthRoot_Osqrt(v4) = v6) | ~ % 235.43/38.18 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v2) = v4) | % 235.43/38.18 | ~ $i(v5) | ~ $i(v4) | ~ % 235.43/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v5))) % 235.43/38.18 | % 235.43/38.18 | ALPHA: (fact_real__sqrt__pow2__gt__zero) implies: % 235.43/38.18 | (200) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : % 235.43/38.18 | (c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 & % 235.43/38.18 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & % 235.43/38.18 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v3) & % 235.43/38.18 | $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ( ~ % 235.43/38.18 | (c_NthRoot_Osqrt(v4) = v5) | ~ $i(v4) | ~ % 235.43/38.18 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) | ? [v6: % 235.43/38.18 | $i] : (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v3) = % 235.43/38.18 | v6 & $i(v6) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, % 235.43/38.18 | v0, v6)))) % 235.43/38.18 | % 235.43/38.18 | ALPHA: (fact_lemma__real__divide__sqrt__less) implies: % 235.43/38.18 | (201) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 235.43/38.18 | (c_NthRoot_Osqrt(v3) = v4 & c_Int_OBit1(c_Int_OPls) = v1 & % 235.43/38.18 | c_Int_OBit0(v1) = v2 & % 235.43/38.18 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 & % 235.43/38.18 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v4) & % 235.43/38.18 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : ( ~ % 235.43/38.18 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v4) = v6) % 235.43/38.18 | | ~ $i(v5) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, % 235.43/38.18 | v0, v5) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, % 235.43/38.18 | v5))) % 235.43/38.18 | % 235.43/38.18 | ALPHA: (fact_real__sqrt__sum__squares__triangle__ineq) implies: % 235.43/38.18 | (202) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) = % 235.43/38.18 | v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.18 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & % 235.43/38.18 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: % 235.43/38.18 | $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! % 235.43/38.18 | [v11: $i] : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15: % 235.43/38.18 | $i] : ( ~ (c_NthRoot_Osqrt(v13) = v14) | ~ (c_NthRoot_Osqrt(v9) % 235.43/38.18 | = v10) | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v6, % 235.43/38.18 | v2) = v7) | ~ % 235.43/38.18 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v2) = v11) | % 235.43/38.18 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v2) = v8) | % 235.43/38.18 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v3, v2) = v12) % 235.43/38.18 | | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v11, v12) = % 235.43/38.18 | v13) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v10, % 235.43/38.18 | v14) = v15) | ~ % 235.43/38.18 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v7, v8) = v9) | ~ % 235.43/38.18 | $i(v6) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ? [v16: $i] : ? % 235.43/38.18 | [v17: $i] : ? [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: % 235.43/38.18 | $i] : (c_NthRoot_Osqrt(v20) = v21 & % 235.43/38.18 | c_Power_Opower__class_Opower(tc_RealDef_Oreal, v18, v2) = v19 & % 235.43/38.18 | c_Power_Opower__class_Opower(tc_RealDef_Oreal, v16, v2) = v17 & % 235.43/38.18 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v17, v19) = v20 & % 235.43/38.18 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v6, v5) = v16 & % 235.43/38.18 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v3) = v18 & % 235.43/38.18 | $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & % 235.43/38.18 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v21, % 235.43/38.18 | v15)))) % 235.43/38.18 | % 235.43/38.18 | ALPHA: (fact_real__sqrt__sum__squares__ge2) implies: % 235.43/38.18 | (203) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) = % 235.43/38.18 | v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.18 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & % 235.43/38.18 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: % 235.43/38.18 | $i] : ! [v7: $i] : ( ~ % 235.43/38.18 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v2) = v6) | % 235.43/38.18 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v3, v2) = v5) | % 235.43/38.18 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v6) = v7) | % 235.43/38.18 | ~ $i(v4) | ~ $i(v3) | ? [v8: $i] : (c_NthRoot_Osqrt(v7) = v8 & % 235.43/38.18 | $i(v8) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, % 235.43/38.18 | v4, v8)))) % 235.43/38.18 | % 235.43/38.18 | ALPHA: (fact_real__sqrt__sum__squares__ge1) implies: % 235.43/38.18 | (204) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) = % 235.43/38.18 | v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.18 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & % 235.43/38.18 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: % 235.43/38.18 | $i] : ! [v7: $i] : ( ~ % 235.43/38.18 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v2) = v5) | % 235.43/38.18 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v3, v2) = v6) | % 235.43/38.18 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v6) = v7) | % 235.43/38.18 | ~ $i(v4) | ~ $i(v3) | ? [v8: $i] : (c_NthRoot_Osqrt(v7) = v8 & % 235.43/38.18 | $i(v8) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, % 235.43/38.18 | v4, v8)))) % 235.43/38.18 | % 235.43/38.18 | ALPHA: (fact_real__sqrt__sum__squares__eq__cancel2) implies: % 235.43/38.18 | (205) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : % 235.43/38.18 | (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.18 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & % 235.43/38.18 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v3 & $i(v3) & % 235.43/38.18 | $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] % 235.43/38.18 | : ! [v7: $i] : ! [v8: $i] : (v5 = v3 | ~ % 235.43/38.18 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v2) = v6) | % 235.43/38.18 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v2) = v7) | % 235.43/38.18 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v6, v7) = v8) | % 235.43/38.18 | ~ $i(v5) | ~ $i(v4) | ? [v9: $i] : ( ~ (v9 = v4) & % 235.43/38.18 | c_NthRoot_Osqrt(v8) = v9 & $i(v9)))) % 235.43/38.18 | % 235.43/38.18 | ALPHA: (fact_real__sqrt__sum__squares__eq__cancel) implies: % 235.43/38.18 | (206) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : % 235.43/38.18 | (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.18 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & % 235.43/38.18 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v3 & $i(v3) & % 235.43/38.18 | $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] % 235.43/38.18 | : ! [v7: $i] : ! [v8: $i] : (v4 = v3 | ~ % 235.43/38.18 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v2) = v6) | % 235.43/38.18 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v2) = v7) | % 235.43/38.18 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v6, v7) = v8) | % 235.43/38.18 | ~ $i(v5) | ~ $i(v4) | ? [v9: $i] : ( ~ (v9 = v5) & % 235.43/38.18 | c_NthRoot_Osqrt(v8) = v9 & $i(v9)))) % 235.43/38.18 | % 235.43/38.18 | ALPHA: (fact_real__sqrt__sum__squares__ge__zero) implies: % 235.43/38.18 | (207) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : % 235.43/38.18 | (c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 & % 235.43/38.18 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & % 235.43/38.18 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v3) & % 235.43/38.18 | $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] % 235.43/38.18 | : ! [v7: $i] : ! [v8: $i] : ( ~ % 235.43/38.18 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v3) = v6) | % 235.43/38.18 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v3) = v7) | % 235.43/38.18 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v6, v7) = v8) | % 235.43/38.18 | ~ $i(v5) | ~ $i(v4) | ? [v9: $i] : (c_NthRoot_Osqrt(v8) = v9 & % 235.43/38.18 | $i(v9) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, % 235.43/38.18 | v0, v9)))) % 235.43/38.18 | % 235.43/38.18 | ALPHA: (fact_real__sqrt__ge__abs1) implies: % 235.43/38.18 | (208) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) = % 235.43/38.18 | v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.18 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & % 235.43/38.18 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: % 235.43/38.18 | $i] : ! [v7: $i] : ( ~ % 235.43/38.18 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v2) = v5) | % 235.43/38.18 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v3, v2) = v6) | % 235.43/38.18 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v6) = v7) | % 235.43/38.18 | ~ $i(v4) | ~ $i(v3) | ? [v8: $i] : ? [v9: $i] : % 235.43/38.18 | (c_NthRoot_Osqrt(v7) = v9 & % 235.43/38.18 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v4) = v8 & $i(v9) & % 235.43/38.18 | $i(v8) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, % 235.43/38.18 | v8, v9)))) % 235.43/38.18 | % 235.43/38.18 | ALPHA: (fact_real__sqrt__ge__abs2) implies: % 235.43/38.18 | (209) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) = % 235.43/38.18 | v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.18 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & % 235.43/38.18 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: % 235.43/38.18 | $i] : ! [v7: $i] : ( ~ % 235.43/38.18 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v2) = v6) | % 235.43/38.18 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v3, v2) = v5) | % 235.43/38.18 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v6) = v7) | % 235.43/38.18 | ~ $i(v4) | ~ $i(v3) | ? [v8: $i] : ? [v9: $i] : % 235.43/38.18 | (c_NthRoot_Osqrt(v7) = v9 & % 235.43/38.18 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v4) = v8 & $i(v9) & % 235.43/38.18 | $i(v8) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, % 235.43/38.18 | v8, v9)))) % 235.43/38.18 | % 235.43/38.18 | ALPHA: (fact_complex__norm) implies: % 235.43/38.18 | (210) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) = % 235.43/38.18 | v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.18 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & % 235.43/38.18 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: % 235.43/38.18 | $i] : ! [v7: $i] : ( ~ % 235.43/38.18 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v2) = v5) | % 235.43/38.18 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v3, v2) = v6) | % 235.43/38.18 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v6) = v7) | % 235.43/38.18 | ~ $i(v4) | ~ $i(v3) | ? [v8: $i] : ? [v9: $i] : % 235.43/38.18 | (c_NthRoot_Osqrt(v7) = v9 & c_Complex_Ocomplex_OComplex(v4, v3) = % 235.43/38.18 | v8 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v8) = % 235.43/38.18 | v9 & $i(v9) & $i(v8)))) % 235.43/38.18 | % 235.43/38.18 | ALPHA: (fact_cmod__def) implies: % 235.43/38.18 | (211) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) = % 235.43/38.18 | v0 & c_Int_OBit0(v0) = v1 & % 235.43/38.18 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & % 235.43/38.18 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: % 235.43/38.18 | $i] : ! [v7: $i] : ! [v8: $i] : ( ~ % 235.43/38.18 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v6, v2) = v7) | % 235.43/38.18 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v2) = v5) | % 235.43/38.18 | ~ (c_Complex_ORe(v3) = v4) | ~ (c_Complex_OIm(v3) = v6) | ~ % 235.43/38.18 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v7) = v8) | ~ % 235.43/38.18 | $i(v3) | ? [v9: $i] : (c_NthRoot_Osqrt(v8) = v9 & % 235.43/38.18 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v9 & % 235.43/38.18 | $i(v9)))) % 235.43/38.18 | % 235.43/38.18 | ALPHA: (fact_real__sqrt__sum__squares__less) implies: % 235.43/38.19 | (212) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 235.43/38.19 | (c_NthRoot_Osqrt(v2) = v3 & c_Int_OBit1(c_Int_OPls) = v0 & % 235.43/38.19 | c_Int_OBit0(v0) = v1 & % 235.43/38.19 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v4 & % 235.43/38.19 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & % 235.43/38.19 | $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: % 235.43/38.19 | $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! % 235.43/38.19 | [v11: $i] : ( ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v7, % 235.43/38.19 | v4) = v9) | ~ % 235.43/38.19 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v4) = v10) | % 235.43/38.19 | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v6, v3) = % 235.43/38.19 | v8) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v9, % 235.43/38.19 | v10) = v11) | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ? [v12: % 235.43/38.19 | $i] : ? [v13: $i] : ? [v14: $i] : ((c_NthRoot_Osqrt(v11) = % 235.43/38.19 | v14 & $i(v14) & % 235.43/38.19 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v14, v6)) | % 235.43/38.19 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v7) = v12 & % 235.43/38.19 | $i(v12) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, % 235.43/38.19 | v12, v8)) | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, % 235.43/38.19 | v5) = v13 & $i(v13) & ~ % 235.43/38.19 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v13, v8))))) % 235.43/38.19 | % 235.43/38.19 | ALPHA: (fact_real__sqrt__sum__squares__mult__ge__zero) implies: % 235.43/38.19 | (213) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : % 235.43/38.19 | (c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 & % 235.43/38.19 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & % 235.43/38.19 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v3) & % 235.43/38.19 | $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] % 235.43/38.19 | : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: % 235.43/38.19 | $i] : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ( ~ % 235.43/38.19 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, v10, v13) = v14) % 235.43/38.19 | | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v7, v3) = % 235.43/38.19 | v8) | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v6, % 235.43/38.19 | v3) = v9) | ~ % 235.43/38.19 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v5, v3) = v11) | % 235.43/38.19 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v4, v3) = v12) % 235.43/38.19 | | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v11, v12) = % 235.43/38.19 | v13) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v8, % 235.43/38.19 | v9) = v10) | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | % 235.43/38.19 | ? [v15: $i] : (c_NthRoot_Osqrt(v14) = v15 & $i(v15) & % 235.43/38.19 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v15)))) % 235.43/38.19 | % 235.43/38.19 | ALPHA: (fact_neg__zdiv__mult__2) implies: % 235.43/38.19 | (214) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 235.43/38.19 | (c_Int_OBit1(c_Int_OPls) = v2 & c_Int_OBit0(v2) = v3 & % 235.43/38.19 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v3) = v4 & % 235.43/38.19 | c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 & % 235.43/38.19 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v4) & $i(v3) & % 235.43/38.19 | $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : ! [v7: $i] % 235.43/38.19 | : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ( ~ % 235.43/38.19 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v4, v6) = v9) | ~ % 235.43/38.19 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v4, v5) = v7) | ~ % 235.43/38.19 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v8, v9) = v10) | ~ % 235.43/38.19 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v7) = v8) | ~ % 235.43/38.19 | $i(v6) | ~ $i(v5) | ~ % 235.43/38.19 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v6, v0) | ? [v11: % 235.43/38.19 | $i] : (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v11, v6) = v10 & % 235.43/38.19 | c_Groups_Oplus__class_Oplus(tc_Int_Oint, v5, v1) = v11 & % 235.43/38.19 | $i(v11) & $i(v10)))) % 235.43/38.19 | % 235.43/38.19 | ALPHA: (fact_abs__zmult__eq__1) implies: % 235.43/38.19 | (215) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & $i(v0) & % 235.43/38.19 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 235.43/38.19 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v2, v1) = v3) | ~ % 235.43/38.19 | $i(v2) | ~ $i(v1) | ? [v4: $i] : ? [v5: $i] : ((v5 = v0 & % 235.43/38.19 | c_Groups_Oabs__class_Oabs(tc_Int_Oint, v2) = v0) | ( ~ (v4 = % 235.43/38.19 | v0) & c_Groups_Oabs__class_Oabs(tc_Int_Oint, v3) = v4 & % 235.43/38.19 | $i(v4))))) % 235.43/38.19 | % 235.43/38.19 | ALPHA: (fact_zmult__1) implies: % 236.05/38.19 | (216) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & $i(v0) & % 236.05/38.19 | ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~ % 236.05/38.19 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v0, v1) = v2) | ~ % 236.05/38.19 | $i(v1))) % 236.05/38.19 | % 236.05/38.19 | ALPHA: (fact_zmult__1__right) implies: % 236.05/38.19 | (217) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & $i(v0) & % 236.05/38.19 | ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~ % 236.05/38.19 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v1, v0) = v2) | ~ % 236.05/38.19 | $i(v1))) % 236.05/38.19 | % 236.05/38.19 | ALPHA: (fact_zmult__zless__mono2) implies: % 236.05/38.19 | (218) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) % 236.05/38.19 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 236.05/38.19 | $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v1, v3) = % 236.05/38.19 | v4) | ~ (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v1, v2) = % 236.05/38.19 | v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 236.05/38.19 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v2) | ~ % 236.05/38.19 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1) | % 236.05/38.19 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v4, v5))) % 236.05/38.19 | % 236.05/38.19 | ALPHA: (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J) % 236.05/38.19 | implies: % 236.05/38.19 | (219) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) % 236.05/38.19 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 236.05/38.19 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v2, v1) = v3) | ~ % 236.05/38.19 | $i(v2) | ~ $i(v1) | ~ % 236.05/38.19 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) | ~ % 236.05/38.19 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) | % 236.05/38.19 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3))) % 236.05/38.19 | % 236.05/38.19 | ALPHA: (fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J) % 236.05/38.19 | implies: % 236.05/38.19 | (220) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) = % 236.05/38.19 | v0 & c_Int_OBit0(v0) = v1 & % 236.05/38.19 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & % 236.05/38.19 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: % 236.05/38.19 | $i] : ! [v7: $i] : ( ~ % 236.05/38.19 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, v2, v3) = v6) | ~ % 236.05/38.19 | (c_Power_Opower__class_Opower(v5, v4, v6) = v7) | ~ $i(v5) | ~ % 236.05/38.19 | $i(v4) | ~ $i(v3) | ~ class_Rings_Ocomm__semiring__1(v5) | ? % 236.05/38.19 | [v8: $i] : (c_Groups_Otimes__class_Otimes(v5, v8, v8) = v7 & % 236.05/38.19 | c_Power_Opower__class_Opower(v5, v4, v3) = v8 & $i(v8) & % 236.05/38.19 | $i(v7)))) % 236.05/38.19 | % 236.05/38.19 | ALPHA: (arity_Int__Oint__Rings_Olinordered__semidom) implies: % 236.05/38.19 | (221) class_Rings_Olinordered__semidom(tc_Int_Oint) % 236.05/38.19 | % 236.05/38.19 | ALPHA: (arity_Int__Oint__Rings_Olinordered__idom) implies: % 236.05/38.19 | (222) class_Rings_Olinordered__idom(tc_Int_Oint) % 236.05/38.19 | % 236.05/38.19 | ALPHA: (arity_Int__Oint__Int_Onumber__ring) implies: % 236.05/38.19 | (223) class_Int_Onumber__ring(tc_Int_Oint) % 236.05/38.19 | % 236.05/38.19 | ALPHA: (arity_Int__Oint__Groups_Oone) implies: % 236.05/38.19 | (224) $i(tc_Int_Oint) % 236.05/38.19 | % 236.05/38.19 | ALPHA: (arity_RealDef__Oreal__RealVector_Oreal__normed__field) implies: % 236.05/38.19 | (225) class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) % 236.05/38.19 | % 236.05/38.19 | ALPHA: (arity_RealDef__Oreal__Rings_Ocomm__semiring__1) implies: % 236.05/38.19 | (226) class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal) % 236.05/38.19 | % 236.05/38.19 | ALPHA: (arity_RealDef__Oreal__Orderings_Opreorder) implies: % 236.05/38.19 | (227) class_Orderings_Opreorder(tc_RealDef_Oreal) % 236.05/38.19 | % 236.05/38.19 | ALPHA: (arity_Complex__Ocomplex__RealVector_Oreal__normed__vector) implies: % 236.05/38.19 | (228) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) % 236.05/38.19 | % 236.05/38.19 | ALPHA: (conj_0) implies: % 236.05/38.19 | (229) $i(v_f____) % 236.05/38.19 | (230) $i(v_ga____) % 236.05/38.19 | (231) $i(tc_RealDef_Oreal) % 236.05/38.19 | (232) $i(v_e____) % 236.05/38.19 | (233) $i(tc_Nat_Onat) % 236.05/38.19 | (234) $i(tc_Complex_Ocomplex) % 236.05/38.19 | (235) $i(v_n____) % 236.05/38.19 | (236) $i(v_x____) % 236.05/38.19 | (237) $i(v_y____) % 236.05/38.19 | (238) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 236.05/38.19 | ? [v5: $i] : (c_Complex_Ocomplex_OComplex(v_x____, v_y____) = v3 & % 236.05/38.19 | c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v2, v3) = v4 & % 236.05/38.19 | v_s(v1) = v2 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, % 236.05/38.19 | v4) = v5 & c_Fun_Ocomp(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat, % 236.05/38.19 | v_f____, v_ga____) = v0 & hAPP(v0, v_n____) = v1 & $i(v5) & % 236.05/38.19 | $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ~ % 236.05/38.19 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, v_e____)) % 236.05/38.19 | % 236.05/38.19 | ALPHA: (function-axioms) implies: % 236.05/38.19 | (239) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 236.05/38.19 | (c_Groups_Ozero__class_Ozero(v2) = v1) | ~ % 236.05/38.19 | (c_Groups_Ozero__class_Ozero(v2) = v0)) % 236.05/38.19 | (240) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (v_s(v2) = % 236.05/38.19 | v1) | ~ (v_s(v2) = v0)) % 236.05/38.19 | (241) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 236.05/38.19 | (c_Complex_OIm(v2) = v1) | ~ (c_Complex_OIm(v2) = v0)) % 236.05/38.19 | (242) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 236.05/38.19 | (c_Complex_ORe(v2) = v1) | ~ (c_Complex_ORe(v2) = v0)) % 236.05/38.19 | (243) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 236.05/38.19 | (c_Groups_Oone__class_Oone(v2) = v1) | ~ % 236.05/38.19 | (c_Groups_Oone__class_Oone(v2) = v0)) % 236.05/38.19 | (244) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 236.05/38.19 | (c_Int_OBit0(v2) = v1) | ~ (c_Int_OBit0(v2) = v0)) % 236.05/38.19 | (245) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 236.05/38.19 | (c_Int_OBit1(v2) = v1) | ~ (c_Int_OBit1(v2) = v0)) % 236.05/38.19 | (246) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 236.05/38.19 | (hAPP(v3, v2) = v1) | ~ (hAPP(v3, v2) = v0)) % 236.05/38.19 | (247) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 236.05/38.19 | (c_RealVector_Onorm__class_Onorm(v3, v2) = v1) | ~ % 236.05/38.19 | (c_RealVector_Onorm__class_Onorm(v3, v2) = v0)) % 236.05/38.19 | (248) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 236.05/38.19 | (c_Complex_Ocomplex_OComplex(v3, v2) = v1) | ~ % 236.05/38.19 | (c_Complex_Ocomplex_OComplex(v3, v2) = v0)) % 236.05/38.19 | (249) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 236.05/38.19 | (c_Groups_Oabs__class_Oabs(v3, v2) = v1) | ~ % 236.05/38.19 | (c_Groups_Oabs__class_Oabs(v3, v2) = v0)) % 236.05/38.19 | (250) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 236.05/38.19 | (c_Int_Onumber__class_Onumber__of(v3, v2) = v1) | ~ % 236.05/38.19 | (c_Int_Onumber__class_Onumber__of(v3, v2) = v0)) % 236.05/38.19 | (251) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 236.05/38.19 | (v1 = v0 | ~ (c_Groups_Ominus__class_Ominus(v4, v3, v2) = v1) | ~ % 236.05/38.19 | (c_Groups_Ominus__class_Ominus(v4, v3, v2) = v0)) % 236.05/38.19 | (252) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 236.05/38.19 | (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(v4, v3, v2) = v1) | ~ % 236.05/38.19 | (c_Groups_Oplus__class_Oplus(v4, v3, v2) = v0)) % 236.05/38.19 | (253) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 236.05/38.19 | (v1 = v0 | ~ (c_Rings_Oinverse__class_Odivide(v4, v3, v2) = v1) | ~ % 236.05/38.19 | (c_Rings_Oinverse__class_Odivide(v4, v3, v2) = v0)) % 236.05/38.19 | (254) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 236.05/38.19 | ! [v5: $i] : ! [v6: $i] : (v1 = v0 | ~ (c_Fun_Ocomp(v6, v5, v4, % 236.05/38.19 | v3, v2) = v1) | ~ (c_Fun_Ocomp(v6, v5, v4, v3, v2) = v0)) % 236.05/38.19 | % 236.05/38.19 | DELTA: instantiating (62) with fresh symbol all_652_0 gives: % 236.05/38.19 | (255) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_652_0 & $i(all_652_0) % 236.05/38.19 | & ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, % 236.05/38.19 | all_652_0) % 236.05/38.19 | % 236.05/38.19 | ALPHA: (255) implies: % 236.05/38.19 | (256) $i(all_652_0) % 236.05/38.19 | (257) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_652_0 % 236.05/38.19 | % 236.05/38.19 | DELTA: instantiating (1) with fresh symbol all_656_0 gives: % 236.05/38.19 | (258) c_Fun_Ocomp(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat, v_f____, v_ga____) % 236.05/38.19 | = all_656_0 & $i(all_656_0) & c_SEQ_Osubseq(all_656_0) % 236.05/38.19 | % 236.05/38.19 | ALPHA: (258) implies: % 236.05/38.19 | (259) c_Fun_Ocomp(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat, v_f____, v_ga____) % 236.05/38.19 | = all_656_0 % 236.05/38.19 | % 236.05/38.19 | DELTA: instantiating (83) with fresh symbol all_662_0 gives: % 236.05/38.19 | (260) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OPls) = all_662_0 % 236.05/38.19 | & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_662_0 & % 236.05/38.19 | $i(all_662_0) % 236.05/38.19 | % 236.05/38.19 | ALPHA: (260) implies: % 236.05/38.19 | (261) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_662_0 % 236.05/38.19 | % 236.05/38.19 | DELTA: instantiating (108) with fresh symbol all_670_0 gives: % 236.05/38.19 | (262) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_670_0 & $i(all_670_0) & % 236.05/38.19 | ~ c_Nat__Numeral_Oneg(all_670_0) % 236.05/38.19 | % 236.05/38.19 | ALPHA: (262) implies: % 236.05/38.20 | (263) ~ c_Nat__Numeral_Oneg(all_670_0) % 236.05/38.20 | (264) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_670_0 % 236.05/38.20 | % 236.05/38.20 | DELTA: instantiating (83) with fresh symbol all_672_0 gives: % 236.05/38.20 | (265) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OPls) = all_672_0 % 236.05/38.20 | & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_672_0 & % 236.05/38.20 | $i(all_672_0) % 236.05/38.20 | % 236.05/38.20 | ALPHA: (265) implies: % 236.05/38.20 | (266) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_672_0 % 236.05/38.20 | (267) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OPls) = all_672_0 % 236.05/38.20 | % 236.05/38.20 | DELTA: instantiating (95) with fresh symbol all_674_0 gives: % 236.05/38.20 | (268) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_674_0 & $i(all_674_0) % 236.05/38.20 | & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_674_0, % 236.05/38.20 | all_674_0) % 236.05/38.20 | % 236.05/38.20 | ALPHA: (268) implies: % 236.05/38.20 | (269) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_674_0, all_674_0) % 236.05/38.20 | (270) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_674_0 % 236.05/38.20 | % 236.05/38.20 | DELTA: instantiating (107) with fresh symbol all_676_0 gives: % 236.05/38.20 | (271) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_676_0 & $i(all_676_0) % 236.05/38.20 | & ~ c_Nat__Numeral_Oneg(all_676_0) % 236.05/38.20 | % 236.05/38.20 | ALPHA: (271) implies: % 236.05/38.20 | (272) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_676_0 % 236.05/38.20 | % 236.05/38.20 | DELTA: instantiating (103) with fresh symbol all_684_0 gives: % 236.05/38.20 | (273) c_Int_Osucc(c_Int_OPls) = all_684_0 & c_Int_OBit1(c_Int_OPls) = % 236.05/38.20 | all_684_0 & $i(all_684_0) % 236.05/38.20 | % 236.05/38.20 | ALPHA: (273) implies: % 236.05/38.20 | (274) c_Int_OBit1(c_Int_OPls) = all_684_0 % 236.05/38.20 | (275) c_Int_Osucc(c_Int_OPls) = all_684_0 % 236.05/38.20 | % 236.05/38.20 | DELTA: instantiating (81) with fresh symbol all_686_0 gives: % 236.05/38.20 | (276) c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls) = all_686_0 % 236.05/38.20 | & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_686_0 & % 236.05/38.20 | $i(all_686_0) % 236.05/38.20 | % 236.05/38.20 | ALPHA: (276) implies: % 236.05/38.20 | (277) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_686_0 % 236.05/38.20 | % 236.05/38.20 | DELTA: instantiating (2) with fresh symbol all_692_0 gives: % 236.05/38.20 | (278) hAPP(v_ga____, v_n____) = all_692_0 & $i(all_692_0) & % 236.05/38.20 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v_N1____, all_692_0) % 236.05/38.20 | % 236.05/38.20 | ALPHA: (278) implies: % 236.05/38.20 | (279) c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v_N1____, all_692_0) % 236.05/38.20 | (280) hAPP(v_ga____, v_n____) = all_692_0 % 236.05/38.20 | % 236.05/38.20 | DELTA: instantiating (23) with fresh symbol all_696_0 gives: % 236.05/38.20 | (281) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_696_0 & $i(all_696_0) % 236.05/38.20 | & ? [v0: $i] : ( ~ $i(v0) | % 236.05/38.20 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_696_0, v0)) % 236.05/38.20 | % 236.05/38.20 | ALPHA: (281) implies: % 236.05/38.20 | (282) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_696_0 % 236.05/38.20 | % 236.05/38.20 | DELTA: instantiating (17) with fresh symbol all_701_0 gives: % 236.05/38.20 | (283) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_701_0 & $i(all_701_0) % 236.05/38.20 | & ! [v0: $i] : ( ~ $i(v0) | ~ % 236.05/38.20 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, all_701_0)) % 236.05/38.20 | % 236.05/38.20 | ALPHA: (283) implies: % 236.05/38.20 | (284) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_701_0 % 236.05/38.20 | % 236.05/38.20 | DELTA: instantiating (17) with fresh symbol all_704_0 gives: % 236.05/38.20 | (285) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_704_0 & $i(all_704_0) % 236.05/38.20 | & ! [v0: $i] : ( ~ $i(v0) | ~ % 236.05/38.20 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, all_704_0)) % 236.05/38.20 | % 236.05/38.20 | ALPHA: (285) implies: % 236.05/38.20 | (286) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_704_0 % 236.05/38.20 | % 236.05/38.20 | DELTA: instantiating (23) with fresh symbol all_710_0 gives: % 236.05/38.20 | (287) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_710_0 & $i(all_710_0) % 236.05/38.20 | & ? [v0: $i] : ( ~ $i(v0) | % 236.05/38.20 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_710_0, v0)) % 236.05/38.20 | % 236.05/38.20 | ALPHA: (287) implies: % 236.05/38.20 | (288) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_710_0 % 236.05/38.20 | % 236.05/38.20 | DELTA: instantiating (17) with fresh symbol all_712_0 gives: % 236.05/38.20 | (289) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_712_0 & $i(all_712_0) % 236.05/38.20 | & ! [v0: $i] : ( ~ $i(v0) | ~ % 236.05/38.20 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, all_712_0)) % 236.05/38.20 | % 236.05/38.20 | ALPHA: (289) implies: % 236.05/38.20 | (290) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_712_0 % 236.05/38.20 | % 236.05/38.20 | DELTA: instantiating (17) with fresh symbol all_718_0 gives: % 236.05/38.20 | (291) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_718_0 & $i(all_718_0) % 236.05/38.20 | & ! [v0: $i] : ( ~ $i(v0) | ~ % 236.05/38.20 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, all_718_0)) % 236.05/38.20 | % 236.05/38.20 | ALPHA: (291) implies: % 236.05/38.20 | (292) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_718_0 % 236.05/38.20 | % 236.05/38.20 | DELTA: instantiating (216) with fresh symbol all_721_0 gives: % 236.05/38.20 | (293) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_721_0 & $i(all_721_0) & % 236.05/38.20 | ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ % 236.05/38.20 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, all_721_0, v0) = v1) | % 236.05/38.20 | ~ $i(v0)) % 236.05/38.20 | % 236.05/38.20 | ALPHA: (293) implies: % 236.05/38.20 | (294) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_721_0 % 236.05/38.20 | % 236.05/38.20 | DELTA: instantiating (97) with fresh symbols all_725_0, all_725_1 gives: % 236.05/38.20 | (295) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_725_0 & % 236.05/38.20 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_725_1 & $i(all_725_0) % 236.05/38.20 | & $i(all_725_1) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, % 236.05/38.20 | all_725_1, all_725_0) % 236.05/38.20 | % 236.05/38.20 | ALPHA: (295) implies: % 236.05/38.20 | (296) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_725_1 % 236.05/38.20 | (297) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_725_0 % 236.05/38.20 | % 236.05/38.20 | DELTA: instantiating (21) with fresh symbol all_729_0 gives: % 236.05/38.20 | (298) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_729_0 & $i(all_729_0) % 236.05/38.20 | & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ % 236.05/38.20 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, all_729_0) = v1) | ~ % 236.05/38.20 | $i(v0)) % 236.05/38.20 | % 236.05/38.20 | ALPHA: (298) implies: % 236.05/38.20 | (299) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_729_0 % 236.05/38.20 | % 236.05/38.20 | DELTA: instantiating (96) with fresh symbols all_732_0, all_732_1 gives: % 236.05/38.20 | (300) c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls) = all_732_0 % 236.05/38.20 | & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_732_1 & % 236.05/38.20 | $i(all_732_0) & $i(all_732_1) & % 236.05/38.20 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_732_1, all_732_0) % 236.05/38.20 | % 236.05/38.20 | ALPHA: (300) implies: % 236.05/38.20 | (301) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_732_1 % 236.05/38.20 | % 236.05/38.20 | DELTA: instantiating (164) with fresh symbol all_734_0 gives: % 236.05/38.20 | (302) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_734_0 & $i(all_734_0) % 236.05/38.20 | & ! [v0: $i] : ! [v1: int] : (v1 = all_734_0 | ~ % 236.05/38.20 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, all_734_0, v0) = v1) | ~ % 236.05/38.20 | $i(v0)) % 236.05/38.20 | % 236.05/38.20 | ALPHA: (302) implies: % 236.05/38.20 | (303) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_734_0 % 236.05/38.20 | % 236.05/38.20 | DELTA: instantiating (122) with fresh symbols all_737_0, all_737_1 gives: % 236.05/38.20 | (304) c_RealDef_Oreal(tc_Nat_Onat, all_737_1) = all_737_0 & % 236.05/38.20 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_737_1 & % 236.05/38.20 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_737_0 & % 236.05/38.20 | $i(all_737_0) & $i(all_737_1) % 236.05/38.20 | % 236.05/38.20 | ALPHA: (304) implies: % 236.05/38.20 | (305) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_737_1 % 236.05/38.20 | % 236.05/38.20 | DELTA: instantiating (67) with fresh symbols all_739_0, all_739_1 gives: % 236.05/38.20 | (306) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_739_0 & % 236.05/38.20 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_739_1 & $i(all_739_0) % 236.05/38.20 | & $i(all_739_1) & c_Orderings_Oord__class_Oless(tc_Int_Oint, % 236.05/38.20 | all_739_1, all_739_0) % 236.05/38.20 | % 236.05/38.20 | ALPHA: (306) implies: % 236.05/38.20 | (307) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_739_1 % 236.05/38.20 | (308) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_739_0 % 236.05/38.20 | % 236.05/38.20 | DELTA: instantiating (79) with fresh symbol all_741_0 gives: % 236.05/38.20 | (309) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_741_0 & $i(all_741_0) % 236.05/38.20 | & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ % 236.05/38.20 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_741_0) = v1) | ~ % 236.05/38.20 | $i(v0)) % 236.05/38.20 | % 236.05/38.20 | ALPHA: (309) implies: % 236.05/38.20 | (310) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_741_0 % 236.05/38.20 | % 236.05/38.20 | DELTA: instantiating (77) with fresh symbols all_744_0, all_744_1 gives: % 236.05/38.20 | (311) ~ (all_744_0 = all_744_1) & c_Groups_Oone__class_Oone(tc_Int_Oint) = % 236.05/38.20 | all_744_0 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_744_1 & % 236.05/38.20 | $i(all_744_0) & $i(all_744_1) % 236.05/38.20 | % 236.05/38.20 | ALPHA: (311) implies: % 236.05/38.20 | (312) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_744_1 % 236.05/38.20 | (313) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_744_0 % 236.05/38.20 | % 236.05/38.20 | DELTA: instantiating (117) with fresh symbols all_746_0, all_746_1 gives: % 236.05/38.20 | (314) c_RComplete_Onatfloor(all_746_1) = all_746_0 & % 236.05/38.20 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_746_0 & % 236.05/38.20 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_746_1 & % 236.05/38.20 | $i(all_746_0) & $i(all_746_1) % 236.05/38.20 | % 236.05/38.20 | ALPHA: (314) implies: % 236.05/38.20 | (315) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_746_0 % 236.05/38.20 | % 236.05/38.20 | DELTA: instantiating (22) with fresh symbol all_748_0 gives: % 236.05/38.20 | (316) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_748_0 & $i(all_748_0) % 236.05/38.20 | & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ % 236.05/38.20 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_748_0, v0) = v1) | ~ % 236.05/38.20 | $i(v0)) % 236.05/38.20 | % 236.05/38.20 | ALPHA: (316) implies: % 236.05/38.20 | (317) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_748_0 % 236.05/38.20 | % 236.05/38.20 | DELTA: instantiating (217) with fresh symbol all_756_0 gives: % 236.05/38.20 | (318) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_756_0 & $i(all_756_0) & % 236.05/38.20 | ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ % 236.05/38.20 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v0, all_756_0) = v1) | % 236.05/38.20 | ~ $i(v0)) % 236.05/38.20 | % 236.05/38.20 | ALPHA: (318) implies: % 236.05/38.20 | (319) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_756_0 % 236.05/38.20 | % 236.05/38.20 | DELTA: instantiating (102) with fresh symbol all_759_0 gives: % 236.05/38.20 | (320) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_759_0 & $i(all_759_0) % 236.05/38.20 | & ! [v0: $i] : ! [v1: $i] : ( ~ (c_RComplete_Onatceiling(v0) = v1) % 236.05/38.20 | | ~ $i(v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, % 236.05/38.20 | all_759_0, v1)) % 236.05/38.20 | % 236.05/38.20 | ALPHA: (320) implies: % 236.05/38.20 | (321) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_759_0 % 236.05/38.20 | % 236.05/38.20 | DELTA: instantiating (11) with fresh symbol all_762_0 gives: % 236.05/38.20 | (322) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_762_0 & $i(all_762_0) % 236.05/38.20 | & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ % 236.05/38.20 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, all_762_0) = v1) | % 236.05/38.20 | ~ $i(v0)) % 236.05/38.20 | % 236.05/38.20 | ALPHA: (322) implies: % 236.05/38.20 | (323) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_762_0 % 236.05/38.20 | % 236.05/38.20 | DELTA: instantiating (13) with fresh symbol all_769_0 gives: % 236.05/38.20 | (324) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_769_0 & $i(all_769_0) % 236.05/38.20 | & ? [v0: any] : (v0 = all_769_0 | ~ $i(v0) | % 236.05/38.20 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_769_0, v0)) % 236.05/38.20 | % 236.05/38.20 | ALPHA: (324) implies: % 236.05/38.20 | (325) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_769_0 % 236.05/38.20 | % 236.05/38.20 | DELTA: instantiating (118) with fresh symbol all_771_0 gives: % 236.05/38.20 | (326) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_771_0 & $i(all_771_0) % 236.05/38.20 | & ! [v0: $i] : ! [v1: $i] : ( ~ (c_RComplete_Onatfloor(v0) = v1) | % 236.05/38.20 | ~ $i(v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, % 236.05/38.20 | all_771_0, v1)) % 236.05/38.20 | % 236.05/38.20 | ALPHA: (326) implies: % 236.05/38.20 | (327) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_771_0 % 236.05/38.20 | % 236.05/38.20 | DELTA: instantiating (121) with fresh symbols all_774_0, all_774_1 gives: % 236.05/38.20 | (328) c_Int_OBit1(c_Int_OPls) = all_774_0 & % 236.05/38.20 | c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral, % 236.05/38.20 | all_774_0) = all_774_1 & % 236.05/38.20 | c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = % 236.05/38.20 | all_774_1 & $i(all_774_0) & $i(all_774_1) % 236.05/38.20 | % 236.05/38.20 | ALPHA: (328) implies: % 236.05/38.20 | (329) $i(all_774_0) % 236.05/38.20 | (330) c_Int_OBit1(c_Int_OPls) = all_774_0 % 236.05/38.20 | % 236.05/38.20 | DELTA: instantiating (101) with fresh symbols all_789_0, all_789_1 gives: % 236.05/38.20 | (331) c_RComplete_Onatceiling(all_789_1) = all_789_0 & % 236.05/38.20 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_789_0 & % 236.05/38.20 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_789_1 & % 236.05/38.20 | $i(all_789_0) & $i(all_789_1) % 236.05/38.20 | % 236.05/38.20 | ALPHA: (331) implies: % 236.05/38.20 | (332) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_789_0 % 236.05/38.20 | % 236.05/38.20 | DELTA: instantiating (12) with fresh symbol all_794_0 gives: % 236.05/38.20 | (333) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_794_0 & $i(all_794_0) % 236.05/38.20 | & ! [v0: $i] : ! [v1: int] : (v1 = all_794_0 | ~ % 236.05/38.20 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, all_794_0, v0) = v1) | % 236.05/38.20 | ~ $i(v0)) % 236.05/38.20 | % 236.05/38.20 | ALPHA: (333) implies: % 236.05/38.20 | (334) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_794_0 % 236.05/38.20 | % 236.05/38.20 | DELTA: instantiating (85) with fresh symbols all_807_0, all_807_1 gives: % 236.05/38.20 | (335) c_Int_OBit1(c_Int_OPls) = all_807_0 & % 236.05/38.20 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_807_0) = all_807_1 % 236.05/38.20 | & c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_807_1 & $i(all_807_0) % 236.05/38.20 | & $i(all_807_1) % 236.05/38.20 | % 236.05/38.20 | ALPHA: (335) implies: % 236.05/38.20 | (336) c_Int_OBit1(c_Int_OPls) = all_807_0 % 236.05/38.20 | % 236.05/38.20 | DELTA: instantiating (10) with fresh symbol all_809_0 gives: % 236.05/38.20 | (337) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_809_0 & $i(all_809_0) % 236.05/38.20 | & ! [v0: $i] : ! [v1: int] : (v1 = all_809_0 | ~ % 236.05/38.20 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v0) = v1) | ~ % 236.05/38.20 | $i(v0)) % 236.05/38.20 | % 236.05/38.20 | ALPHA: (337) implies: % 236.05/38.20 | (338) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_809_0 % 236.05/38.20 | % 236.05/38.20 | DELTA: instantiating (78) with fresh symbol all_816_0 gives: % 236.05/38.20 | (339) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_816_0 & $i(all_816_0) % 236.05/38.20 | & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ % 236.05/38.20 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_816_0, v0) = v1) | ~ % 236.05/38.20 | $i(v0)) % 236.05/38.20 | % 236.05/38.20 | ALPHA: (339) implies: % 236.05/38.20 | (340) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_816_0 % 236.05/38.20 | % 236.05/38.20 | DELTA: instantiating (84) with fresh symbols all_819_0, all_819_1 gives: % 236.05/38.21 | (341) c_Int_OBit1(c_Int_OPls) = all_819_1 & % 236.05/38.21 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_819_1) = all_819_0 % 236.05/38.21 | & c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_819_0 & $i(all_819_0) % 236.05/38.21 | & $i(all_819_1) % 236.05/38.21 | % 236.05/38.21 | ALPHA: (341) implies: % 236.05/38.21 | (342) c_Int_OBit1(c_Int_OPls) = all_819_1 % 236.05/38.21 | % 236.05/38.21 | DELTA: instantiating (88) with fresh symbols all_821_0, all_821_1 gives: % 236.05/38.21 | (343) c_Int_OBit1(c_Int_OPls) = all_821_0 & % 236.05/38.21 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, all_821_0) = all_821_1 % 236.05/38.21 | & c_Groups_Oone__class_Oone(tc_Int_Oint) = all_821_1 & $i(all_821_0) % 236.05/38.21 | & $i(all_821_1) % 236.05/38.21 | % 236.05/38.21 | ALPHA: (343) implies: % 236.05/38.21 | (344) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_821_1 % 236.05/38.21 | (345) c_Int_Onumber__class_Onumber__of(tc_Int_Oint, all_821_0) = all_821_1 % 236.05/38.21 | (346) c_Int_OBit1(c_Int_OPls) = all_821_0 % 236.05/38.21 | % 236.05/38.21 | DELTA: instantiating (5) with fresh symbol all_823_0 gives: % 236.05/38.21 | (347) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_823_0 & $i(all_823_0) % 236.05/38.21 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.05/38.21 | (c_Complex_Ocomplex_OComplex(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) % 236.05/38.21 | | c_Complex_Ocomplex_Ocomplex__size(v2) = all_823_0) % 236.05/38.21 | % 236.05/38.21 | ALPHA: (347) implies: % 236.05/38.21 | (348) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_823_0 % 236.05/38.21 | % 236.05/38.21 | DELTA: instantiating (18) with fresh symbol all_831_0 gives: % 236.05/38.21 | (349) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_831_0 & $i(all_831_0) % 236.05/38.21 | & ! [v0: any] : ! [v1: $i] : (v0 = all_831_0 | ~ % 236.05/38.21 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v1) | ~ $i(v1) % 236.05/38.21 | | ~ $i(v0)) % 236.05/38.21 | % 236.05/38.21 | ALPHA: (349) implies: % 236.05/38.21 | (350) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_831_0 % 236.05/38.21 | % 236.05/38.21 | DELTA: instantiating (114) with fresh symbol all_834_0 gives: % 236.05/38.21 | (351) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_834_0 & $i(all_834_0) & % 236.05/38.21 | ! [v0: $i] : ! [v1: $i] : ( ~ % 236.05/38.21 | (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v0, all_834_0) = v1) | % 236.05/38.21 | ~ $i(v0) | (c_Int_Opred(v0) = v1 & $i(v1))) % 236.05/38.21 | % 236.05/38.21 | ALPHA: (351) implies: % 236.05/38.21 | (352) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_834_0 % 236.05/38.21 | % 236.05/38.21 | DELTA: instantiating (8) with fresh symbol all_837_0 gives: % 236.05/38.21 | (353) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_837_0 & $i(all_837_0) % 236.05/38.21 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.05/38.21 | (c_Complex_Ocomplex_OComplex(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) % 236.05/38.21 | | c_Nat_Osize__class_Osize(tc_Complex_Ocomplex, v2) = all_837_0) % 236.05/38.21 | % 236.05/38.21 | ALPHA: (353) implies: % 236.05/38.21 | (354) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_837_0 % 236.05/38.21 | % 236.05/38.21 | DELTA: instantiating (115) with fresh symbol all_840_0 gives: % 236.05/38.21 | (355) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_840_0 & $i(all_840_0) % 236.05/38.21 | & ! [v0: $i] : ! [v1: $i] : ( ~ % 236.05/38.21 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v1) | ~ % 236.05/38.21 | $i(v0) | ~ c_Nat__Numeral_Oneg(v1) | % 236.05/38.21 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = all_840_0) % 236.05/38.21 | % 236.05/38.21 | ALPHA: (355) implies: % 236.05/38.21 | (356) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_840_0 % 236.05/38.21 | % 236.05/38.21 | DELTA: instantiating (16) with fresh symbol all_847_0 gives: % 236.05/38.21 | (357) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_847_0 & $i(all_847_0) % 236.05/38.21 | & ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_847_0, all_847_0) % 236.05/38.21 | & ? [v0: any] : (v0 = all_847_0 | ~ $i(v0) | % 236.05/38.21 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_847_0, v0)) % 236.05/38.21 | % 236.05/38.21 | ALPHA: (357) implies: % 236.05/38.21 | (358) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_847_0 % 236.05/38.21 | % 236.05/38.21 | DELTA: instantiating (104) with fresh symbol all_849_0 gives: % 236.05/38.21 | (359) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_849_0 & $i(all_849_0) & % 236.05/38.21 | ! [v0: $i] : ! [v1: $i] : ( ~ % 236.05/38.21 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_849_0) = v1) | ~ % 236.05/38.21 | $i(v0) | (c_Int_Osucc(v0) = v1 & $i(v1))) % 236.05/38.21 | % 236.05/38.21 | ALPHA: (359) implies: % 236.05/38.21 | (360) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_849_0 % 236.05/38.21 | % 236.05/38.21 | DELTA: instantiating (24) with fresh symbol all_852_0 gives: % 236.05/38.21 | (361) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_852_0 & $i(all_852_0) % 236.05/38.21 | & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_852_0, % 236.05/38.21 | all_852_0) & ! [v0: any] : (v0 = all_852_0 | ~ $i(v0) | ~ % 236.05/38.21 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, all_852_0)) % 236.05/38.21 | % 236.05/38.21 | ALPHA: (361) implies: % 236.05/38.21 | (362) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_852_0 % 236.05/38.21 | % 236.05/38.21 | DELTA: instantiating (26) with fresh symbol all_872_0 gives: % 236.05/38.21 | (363) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_872_0 & $i(all_872_0) % 236.05/38.21 | & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = all_872_0 | ~ % 236.05/38.21 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v2) | ~ % 236.05/38.21 | $i(v1) | ~ $i(v0) | ~ % 236.05/38.21 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0)) % 236.05/38.21 | % 236.05/38.21 | ALPHA: (363) implies: % 236.05/38.21 | (364) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_872_0 % 236.05/38.21 | % 236.05/38.21 | DELTA: instantiating (4) with fresh symbols all_875_0, all_875_1, all_875_2 % 236.05/38.21 | gives: % 236.05/38.21 | (365) v_s(all_875_2) = all_875_1 & % 236.05/38.21 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_875_1) = % 236.05/38.21 | all_875_0 & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_875_2 & % 236.05/38.21 | $i(all_875_0) & $i(all_875_1) & $i(all_875_2) & % 236.05/38.21 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_875_0, v_r) % 236.05/38.21 | % 236.05/38.21 | ALPHA: (365) implies: % 236.05/38.21 | (366) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_875_2 % 236.05/38.21 | % 236.05/38.21 | DELTA: instantiating (133) with fresh symbol all_877_0 gives: % 236.05/38.21 | (367) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_877_0 & $i(all_877_0) % 236.05/38.21 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 236.05/38.21 | (c_Power_Opower__class_Opower(tc_Int_Oint, v2, v0) = v3) | ~ % 236.05/38.21 | (c_Groups_Oabs__class_Oabs(tc_Int_Oint, v1) = v2) | ~ $i(v1) | ~ % 236.05/38.21 | $i(v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_877_0, % 236.05/38.21 | v3)) % 236.05/38.21 | % 236.05/38.21 | ALPHA: (367) implies: % 236.05/38.21 | (368) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_877_0 % 236.05/38.21 | % 236.05/38.21 | DELTA: instantiating (130) with fresh symbol all_891_0 gives: % 236.05/38.21 | (369) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_891_0 & $i(all_891_0) % 236.05/38.21 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.05/38.21 | (c_Power_Opower__class_Opower(tc_Int_Oint, v1, v0) = v2) | ~ % 236.05/38.21 | $i(v1) | ~ $i(v0) | ~ % 236.05/38.21 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_891_0, v1) | % 236.05/38.21 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_891_0, v2)) % 236.05/38.21 | % 236.05/38.21 | ALPHA: (369) implies: % 236.05/38.21 | (370) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_891_0 % 236.05/38.21 | % 236.05/38.21 | DELTA: instantiating (66) with fresh symbols all_896_0, all_896_1 gives: % 236.05/38.21 | (371) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_896_1 & % 236.05/38.21 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_896_0 & $i(all_896_0) % 236.05/38.21 | & $i(all_896_1) & ! [v0: $i] : ! [v1: $i] : ( ~ % 236.05/38.21 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = all_896_0) | ~ % 236.05/38.21 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_896_1, v0) = v1) | ~ % 236.05/38.21 | $i(v0)) % 236.05/38.21 | % 236.05/38.21 | ALPHA: (371) implies: % 236.05/38.21 | (372) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_896_0 % 236.05/38.21 | (373) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_896_1 % 236.05/38.21 | % 236.05/38.21 | DELTA: instantiating (20) with fresh symbol all_899_0 gives: % 236.05/38.21 | (374) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_899_0 & $i(all_899_0) % 236.05/38.21 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = % 236.05/38.21 | all_899_0 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = % 236.05/38.21 | v2) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v2) = % 236.05/38.21 | v3) | ~ $i(v1) | ~ $i(v0)) % 236.05/38.21 | % 236.05/38.21 | ALPHA: (374) implies: % 236.05/38.21 | (375) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_899_0 % 236.05/38.21 | % 236.05/38.21 | DELTA: instantiating (76) with fresh symbol all_905_0 gives: % 236.05/38.21 | (376) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_905_0 & $i(all_905_0) & % 236.05/38.21 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.05/38.21 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, all_905_0) = v2) | ~ % 236.05/38.21 | $i(v1) | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 236.05/38.21 | v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v0)) % 236.05/38.21 | % 236.05/38.21 | ALPHA: (376) implies: % 236.05/38.21 | (377) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_905_0 % 236.05/38.21 | % 236.05/38.21 | DELTA: instantiating (65) with fresh symbol all_908_0 gives: % 236.05/38.21 | (378) c_Int_OBit1(c_Int_OPls) = all_908_0 & $i(all_908_0) & ! [v0: $i] : % 236.05/38.21 | ! [v1: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v0, all_908_0) = % 236.05/38.21 | v1) | ~ $i(v0) | ~ class_Int_Onumber__ring(v0) | % 236.05/38.21 | (c_Groups_Oone__class_Oone(v0) = v1 & $i(v1))) % 236.05/38.21 | % 236.05/38.21 | ALPHA: (378) implies: % 236.05/38.21 | (379) c_Int_OBit1(c_Int_OPls) = all_908_0 % 236.05/38.21 | % 236.05/38.21 | DELTA: instantiating (44) with fresh symbol all_927_0 gives: % 236.05/38.21 | (380) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_927_0 & $i(all_927_0) & % 236.05/38.21 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.05/38.21 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~ % 236.05/38.21 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_927_0, v0) = v1) | ~ % 236.05/38.21 | $i(v0) | (c_Int_OBit1(v0) = v2 & $i(v2))) % 236.05/38.21 | % 236.05/38.21 | ALPHA: (380) implies: % 236.05/38.21 | (381) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_927_0 % 236.05/38.21 | % 236.05/38.21 | DELTA: instantiating (65) with fresh symbol all_930_0 gives: % 236.05/38.21 | (382) c_Int_OBit1(c_Int_OPls) = all_930_0 & $i(all_930_0) & ! [v0: $i] : % 236.05/38.21 | ! [v1: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v0, all_930_0) = % 236.05/38.21 | v1) | ~ $i(v0) | ~ class_Int_Onumber__ring(v0) | % 236.05/38.21 | (c_Groups_Oone__class_Oone(v0) = v1 & $i(v1))) % 236.05/38.21 | % 236.05/38.21 | ALPHA: (382) implies: % 236.05/38.21 | (383) c_Int_OBit1(c_Int_OPls) = all_930_0 % 236.05/38.21 | % 236.05/38.21 | DELTA: instantiating (157) with fresh symbol all_944_0 gives: % 236.05/38.21 | (384) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_944_0 & $i(all_944_0) % 236.05/38.21 | & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = all_944_0 | ~ % 236.05/38.21 | (c_Divides_Odiv__class_Odiv(tc_Nat_Onat, v1, v0) = v2) | ~ $i(v1) % 236.05/38.21 | | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, % 236.05/38.21 | v0)) % 236.05/38.21 | % 236.05/38.21 | ALPHA: (384) implies: % 236.05/38.21 | (385) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_944_0 % 236.05/38.21 | % 236.05/38.21 | DELTA: instantiating (166) with fresh symbol all_950_0 gives: % 236.05/38.21 | (386) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_950_0 & $i(all_950_0) % 236.05/38.21 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.05/38.21 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v1, v0) = v2) | ~ $i(v1) % 236.05/38.21 | | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, % 236.05/38.21 | all_950_0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 236.05/38.21 | all_950_0, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, % 236.05/38.21 | all_950_0)) % 236.05/38.21 | % 236.05/38.21 | ALPHA: (386) implies: % 236.05/38.21 | (387) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_950_0 % 236.05/38.21 | % 236.05/38.21 | DELTA: instantiating (174) with fresh symbol all_953_0 gives: % 236.05/38.21 | (388) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_953_0 & $i(all_953_0) % 236.05/38.21 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.05/38.21 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v1, v0) = v2) | ~ $i(v1) % 236.05/38.21 | | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, % 236.05/38.21 | all_953_0, v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 236.05/38.21 | v0, all_953_0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, % 236.05/38.21 | v2, all_953_0)) % 236.05/38.21 | % 236.05/38.21 | ALPHA: (388) implies: % 236.05/38.21 | (389) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_953_0 % 236.05/38.21 | % 236.05/38.21 | DELTA: instantiating (119) with fresh symbols all_956_0, all_956_1 gives: % 236.05/38.21 | (390) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_956_0 & % 236.05/38.21 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_956_1 & % 236.05/38.21 | $i(all_956_0) & $i(all_956_1) & ! [v0: $i] : ! [v1: int] : (v1 = % 236.05/38.21 | all_956_0 | ~ (c_RComplete_Onatfloor(v0) = v1) | ~ $i(v0) | ~ % 236.05/38.21 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, all_956_1)) % 236.05/38.21 | % 236.05/38.21 | ALPHA: (390) implies: % 236.05/38.21 | (391) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_956_0 % 236.05/38.21 | % 236.05/38.21 | DELTA: instantiating (177) with fresh symbol all_959_0 gives: % 236.05/38.21 | (392) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_959_0 & $i(all_959_0) % 236.05/38.21 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.05/38.21 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v1, v0) = v2) | ~ $i(v1) % 236.05/38.21 | | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, % 236.05/38.21 | all_959_0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 236.05/38.21 | all_959_0, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, % 236.05/38.21 | v2, all_959_0)) % 236.05/38.21 | % 236.05/38.21 | ALPHA: (392) implies: % 236.05/38.21 | (393) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_959_0 % 236.05/38.21 | % 236.05/38.21 | DELTA: instantiating (111) with fresh symbol all_962_0 gives: % 236.05/38.21 | (394) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_962_0 & $i(all_962_0) % 236.05/38.21 | & ! [v0: $i] : ( ~ $i(v0) | ~ c_Nat__Numeral_Oneg(v0) | % 236.05/38.21 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_962_0)) & ! % 236.05/38.21 | [v0: $i] : ( ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 236.05/38.21 | v0, all_962_0) | c_Nat__Numeral_Oneg(v0)) % 236.05/38.21 | % 236.05/38.21 | ALPHA: (394) implies: % 236.05/38.21 | (395) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_962_0 % 236.05/38.21 | % 236.05/38.21 | DELTA: instantiating (165) with fresh symbol all_968_0 gives: % 236.05/38.21 | (396) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_968_0 & $i(all_968_0) % 236.05/38.21 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.05/38.21 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v1, v0) = v2) | ~ $i(v1) % 236.05/38.21 | | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, % 236.05/38.21 | all_968_0, v1) | ~ % 236.05/38.21 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_968_0, v0) | % 236.05/38.21 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_968_0, v2)) % 236.05/38.21 | % 236.05/38.21 | ALPHA: (396) implies: % 236.05/38.21 | (397) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_968_0 % 236.05/38.21 | % 236.05/38.21 | DELTA: instantiating (75) with fresh symbols all_971_0, all_971_1 gives: % 236.05/38.21 | (398) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_971_0 & % 236.05/38.21 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_971_1 & $i(all_971_0) % 236.05/38.21 | & $i(all_971_1) & ! [v0: $i] : ! [v1: $i] : ( ~ % 236.05/38.21 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_971_0, v0) = v1) | ~ % 236.05/38.21 | $i(v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, % 236.05/38.21 | all_971_1, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, % 236.05/38.21 | all_971_1, v1)) % 236.05/38.21 | % 236.05/38.21 | ALPHA: (398) implies: % 236.05/38.21 | (399) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_971_1 % 236.05/38.21 | (400) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_971_0 % 236.05/38.21 | % 236.05/38.21 | DELTA: instantiating (129) with fresh symbol all_974_0 gives: % 236.05/38.21 | (401) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_974_0 & $i(all_974_0) % 236.05/38.21 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.05/38.21 | (c_Power_Opower__class_Opower(v1, v0, all_974_0) = v2) | ~ $i(v1) % 236.05/38.21 | | ~ $i(v0) | ~ class_Rings_Ocomm__semiring__1(v1) | % 236.05/38.21 | (c_Groups_Oone__class_Oone(v1) = v2 & $i(v2))) % 236.05/38.21 | % 236.05/38.21 | ALPHA: (401) implies: % 236.05/38.21 | (402) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_974_0 % 236.05/38.21 | % 236.05/38.21 | DELTA: instantiating (126) with fresh symbol all_977_0 gives: % 236.05/38.21 | (403) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_977_0 & $i(all_977_0) % 236.05/38.21 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.05/38.21 | (c_Nat__Transfer_Otsub(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~ % 236.05/38.21 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_977_0, v1) | ~ % 236.05/38.21 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_977_0, v0) | % 236.05/38.21 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_977_0, v2)) % 236.05/38.21 | % 236.05/38.21 | ALPHA: (403) implies: % 236.05/38.21 | (404) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_977_0 % 236.05/38.21 | % 236.05/38.21 | DELTA: instantiating (219) with fresh symbol all_980_0 gives: % 236.05/38.21 | (405) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_980_0 & $i(all_980_0) % 236.05/38.21 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.05/38.21 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v1, v0) = v2) | ~ % 236.05/38.21 | $i(v1) | ~ $i(v0) | ~ % 236.05/38.21 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_980_0, v1) | ~ % 236.05/38.21 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_980_0, v0) | % 236.05/38.21 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_980_0, v2)) % 236.05/38.21 | % 236.05/38.21 | ALPHA: (405) implies: % 236.05/38.21 | (406) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_980_0 % 236.05/38.21 | % 236.05/38.21 | DELTA: instantiating (163) with fresh symbols all_983_0, all_983_1 gives: % 236.05/38.21 | (407) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_983_0 & % 236.05/38.21 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_983_1 & $i(all_983_0) % 236.05/38.21 | & $i(all_983_1) & ! [v0: any] : ! [v1: int] : (v1 = all_983_0 | v0 % 236.05/38.21 | = all_983_1 | ~ (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v0, v0) = % 236.05/38.21 | v1) | ~ $i(v0)) % 236.05/38.21 | % 236.05/38.21 | ALPHA: (407) implies: % 236.05/38.21 | (408) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_983_1 % 236.05/38.21 | (409) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_983_0 % 236.05/38.21 | % 236.05/38.21 | DELTA: instantiating (98) with fresh symbol all_986_0 gives: % 236.05/38.21 | (410) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_986_0 & $i(all_986_0) % 236.05/38.21 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.05/38.21 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~ $i(v1) % 236.05/38.21 | | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, % 236.05/38.21 | all_986_0, v1) | ~ % 236.05/38.21 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_986_0, v0) | % 236.05/38.21 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_986_0, v2)) % 236.05/38.21 | % 236.05/38.21 | ALPHA: (410) implies: % 236.05/38.21 | (411) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_986_0 % 236.05/38.21 | % 236.05/38.21 | DELTA: instantiating (175) with fresh symbol all_989_0 gives: % 236.05/38.21 | (412) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_989_0 & $i(all_989_0) % 236.05/38.21 | & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = all_989_0 | ~ % 236.05/38.22 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v1, v0) = v2) | ~ $i(v1) % 236.05/38.22 | | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, % 236.05/38.22 | all_989_0, v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 236.05/38.22 | v1, v0)) % 236.05/38.22 | % 236.05/38.22 | ALPHA: (412) implies: % 236.05/38.22 | (413) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_989_0 % 236.05/38.22 | % 236.05/38.22 | DELTA: instantiating (105) with fresh symbols all_992_0, all_992_1 gives: % 236.05/38.22 | (414) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_992_0 & % 236.05/38.22 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_992_1 & % 236.05/38.22 | $i(all_992_0) & $i(all_992_1) & ! [v0: $i] : ! [v1: int] : (v1 = % 236.05/38.22 | all_992_0 | ~ (c_RComplete_Onatceiling(v0) = v1) | ~ $i(v0) | ~ % 236.05/38.22 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, all_992_1)) % 236.05/38.22 | % 236.05/38.22 | ALPHA: (414) implies: % 236.05/38.22 | (415) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_992_0 % 236.05/38.22 | % 236.05/38.22 | DELTA: instantiating (110) with fresh symbol all_995_0 gives: % 236.05/38.22 | (416) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_995_0 & $i(all_995_0) % 236.05/38.22 | & ! [v0: $i] : ( ~ $i(v0) | ~ c_Nat__Numeral_Oneg(v0) | ~ % 236.05/38.22 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_995_0, v0)) & ? % 236.05/38.22 | [v0: $i] : ( ~ $i(v0) | c_Nat__Numeral_Oneg(v0) | % 236.05/38.22 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_995_0, v0)) % 236.05/38.22 | % 236.05/38.22 | ALPHA: (416) implies: % 236.05/38.22 | (417) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_995_0 % 236.05/38.22 | % 236.05/38.22 | DELTA: instantiating (14) with fresh symbol all_1001_0 gives: % 236.05/38.22 | (418) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1001_0 & % 236.05/38.22 | $i(all_1001_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.05/38.22 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v1) = v2) | ~ % 236.05/38.22 | $i(v1) | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, % 236.05/38.22 | all_1001_0, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, % 236.05/38.22 | all_1001_0, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, % 236.05/38.22 | v0)) % 236.05/38.22 | % 236.05/38.22 | ALPHA: (418) implies: % 236.05/38.22 | (419) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1001_0 % 236.05/38.22 | % 236.05/38.22 | DELTA: instantiating (179) with fresh symbol all_1004_0 gives: % 236.05/38.22 | (420) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1004_0 & % 236.05/38.22 | $i(all_1004_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = % 236.05/38.22 | all_1004_0 | ~ (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v1, v0) = % 236.05/38.22 | v2) | ~ $i(v1) | ~ $i(v0) | ~ % 236.05/38.22 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, all_1004_0) | ~ % 236.05/38.22 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1)) % 236.05/38.22 | % 236.05/38.22 | ALPHA: (420) implies: % 236.05/38.22 | (421) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1004_0 % 236.05/38.22 | % 236.05/38.22 | DELTA: instantiating (185) with fresh symbol all_1007_0 gives: % 236.05/38.22 | (422) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1007_0 & % 236.05/38.22 | $i(all_1007_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.05/38.22 | (c_Power_Opower__class_Opower(v1, v0, all_1007_0) = v2) | ~ $i(v1) % 236.05/38.22 | | ~ $i(v0) | ~ class_Power_Opower(v1) | % 236.05/38.22 | (c_Groups_Oone__class_Oone(v1) = v2 & $i(v2))) % 236.05/38.22 | % 236.05/38.22 | ALPHA: (422) implies: % 236.05/38.22 | (423) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1007_0 % 236.05/38.22 | % 236.05/38.22 | DELTA: instantiating (160) with fresh symbols all_1010_0, all_1010_1, % 236.05/38.22 | all_1010_2 gives: % 236.05/38.22 | (424) c_Int_OBit1(c_Int_OPls) = all_1010_2 & c_Int_OBit0(all_1010_2) = % 236.05/38.22 | all_1010_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 236.05/38.22 | all_1010_1) = all_1010_0 & $i(all_1010_0) & $i(all_1010_1) & % 236.05/38.22 | $i(all_1010_2) & ! [v0: $i] : ! [v1: $i] : ( ~ % 236.05/38.22 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v0) = v1) | ~ $i(v0) % 236.05/38.22 | | c_Divides_Odiv__class_Odiv(tc_Nat_Onat, v1, all_1010_0) = v0) % 236.05/38.22 | % 236.05/38.22 | ALPHA: (424) implies: % 236.05/38.22 | (425) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1010_1) = % 236.05/38.22 | all_1010_0 % 236.05/38.22 | (426) c_Int_OBit0(all_1010_2) = all_1010_1 % 236.05/38.22 | (427) c_Int_OBit1(c_Int_OPls) = all_1010_2 % 236.05/38.22 | % 236.05/38.22 | DELTA: instantiating (89) with fresh symbols all_1016_0, all_1016_1, % 236.05/38.22 | all_1016_2, all_1016_3 gives: % 236.05/38.22 | (428) c_Int_OBit1(c_Int_OPls) = all_1016_1 & c_Int_OBit0(all_1016_1) = % 236.05/38.22 | all_1016_0 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 236.05/38.22 | all_1016_0) = all_1016_2 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = % 236.05/38.22 | all_1016_3 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_1016_3, % 236.05/38.22 | all_1016_3) = all_1016_2 & $i(all_1016_0) & $i(all_1016_1) & % 236.05/38.22 | $i(all_1016_2) & $i(all_1016_3) % 236.05/38.22 | % 236.05/38.22 | ALPHA: (428) implies: % 236.05/38.22 | (429) $i(all_1016_0) % 236.05/38.22 | (430) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1016_0) = % 236.05/38.22 | all_1016_2 % 236.05/38.22 | (431) c_Int_OBit0(all_1016_1) = all_1016_0 % 236.05/38.22 | (432) c_Int_OBit1(c_Int_OPls) = all_1016_1 % 236.05/38.22 | % 236.05/38.22 | DELTA: instantiating (9) with fresh symbol all_1021_0 gives: % 236.05/38.22 | (433) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1021_0 & % 236.05/38.22 | $i(all_1021_0) & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ % 236.05/38.22 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v1) = all_1021_0) | % 236.05/38.22 | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ( ~ (v2 = all_1021_0) & % 236.05/38.22 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v2 & % 236.05/38.22 | $i(v2))) % 236.05/38.22 | % 236.05/38.22 | ALPHA: (433) implies: % 236.05/38.22 | (434) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1021_0 % 236.05/38.22 | % 236.05/38.22 | DELTA: instantiating (82) with fresh symbol all_1024_0 gives: % 236.05/38.22 | (435) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1024_0 & % 236.05/38.22 | $i(all_1024_0) & ! [v0: $i] : ! [v1: int] : (v1 = all_1024_0 | ~ % 236.05/38.22 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v1) | ~ % 236.05/38.22 | $i(v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, % 236.05/38.22 | c_Int_OPls)) & ! [v0: $i] : ( ~ % 236.05/38.22 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = all_1024_0) | % 236.05/38.22 | ~ $i(v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, % 236.05/38.22 | c_Int_OPls)) % 236.05/38.22 | % 236.05/38.22 | ALPHA: (435) implies: % 236.05/38.22 | (436) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1024_0 % 236.05/38.22 | % 236.05/38.22 | DELTA: instantiating (92) with fresh symbols all_1027_0, all_1027_1, % 236.05/38.22 | all_1027_2, all_1027_3 gives: % 236.05/38.22 | (437) c_Int_OBit1(c_Int_OPls) = all_1027_2 & c_Int_OBit0(all_1027_2) = % 236.05/38.22 | all_1027_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 236.05/38.22 | all_1027_1) = all_1027_0 & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) % 236.05/38.22 | = all_1027_3 & $i(all_1027_0) & $i(all_1027_1) & $i(all_1027_2) & % 236.05/38.22 | $i(all_1027_3) & c_Orderings_Oord__class_Oless(tc_Nat_Onat, % 236.05/38.22 | all_1027_3, all_1027_0) % 236.05/38.22 | % 236.05/38.22 | ALPHA: (437) implies: % 236.05/38.22 | (438) c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1027_3, all_1027_0) % 236.05/38.22 | (439) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1027_3 % 236.05/38.22 | (440) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1027_1) = % 236.05/38.22 | all_1027_0 % 236.05/38.22 | (441) c_Int_OBit0(all_1027_2) = all_1027_1 % 236.05/38.22 | (442) c_Int_OBit1(c_Int_OPls) = all_1027_2 % 236.05/38.22 | % 236.05/38.22 | DELTA: instantiating (91) with fresh symbols all_1032_0, all_1032_1, % 236.05/38.22 | all_1032_2, all_1032_3 gives: % 236.05/38.22 | (443) c_Int_OBit1(c_Int_OPls) = all_1032_2 & c_Int_OBit0(all_1032_2) = % 236.05/38.22 | all_1032_1 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, % 236.05/38.22 | all_1032_1) = all_1032_0 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 236.05/38.22 | = all_1032_3 & $i(all_1032_0) & $i(all_1032_1) & $i(all_1032_2) & % 236.05/38.22 | $i(all_1032_3) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, % 236.05/38.22 | all_1032_3, all_1032_0) % 236.05/38.22 | % 236.05/38.22 | ALPHA: (443) implies: % 236.05/38.22 | (444) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1032_3, % 236.05/38.22 | all_1032_0) % 236.05/38.22 | (445) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1032_3 % 236.05/38.22 | (446) c_Int_Onumber__class_Onumber__of(tc_Int_Oint, all_1032_1) = % 236.05/38.22 | all_1032_0 % 236.05/38.22 | (447) c_Int_OBit0(all_1032_2) = all_1032_1 % 236.05/38.22 | (448) c_Int_OBit1(c_Int_OPls) = all_1032_2 % 236.05/38.22 | % 236.05/38.22 | DELTA: instantiating (190) with fresh symbols all_1034_0, all_1034_1, % 236.05/38.22 | all_1034_2 gives: % 236.05/38.22 | (449) c_Int_OBit1(c_Int_OPls) = all_1034_2 & c_Int_OBit0(all_1034_2) = % 236.05/38.22 | all_1034_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 236.05/38.22 | all_1034_1) = all_1034_0 & $i(all_1034_0) & $i(all_1034_1) & % 236.05/38.22 | $i(all_1034_2) & ! [v0: $i] : ! [v1: $i] : ( ~ % 236.05/38.22 | (c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt(v0) = v1) | ~ % 236.05/38.22 | $i(v0) | c_Power_Opower__class_Opower(tc_Complex_Ocomplex, v1, % 236.05/38.22 | all_1034_0) = v0) % 236.05/38.22 | % 236.05/38.22 | ALPHA: (449) implies: % 236.05/38.22 | (450) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1034_1) = % 236.05/38.22 | all_1034_0 % 236.05/38.22 | (451) c_Int_OBit0(all_1034_2) = all_1034_1 % 236.05/38.22 | (452) c_Int_OBit1(c_Int_OPls) = all_1034_2 % 236.05/38.22 | % 236.05/38.22 | DELTA: instantiating (52) with fresh symbol all_1037_0 gives: % 236.05/38.22 | (453) c_Int_OBit1(c_Int_OPls) = all_1037_0 & $i(all_1037_0) & ! [v0: $i] : % 236.05/38.22 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~ % 236.05/38.22 | (c_Int_Onumber__class_Onumber__of(v1, all_1037_0) = v2) | ~ % 236.05/38.22 | (c_Rings_Oinverse__class_Odivide(v1, v0, v2) = v3) | ~ $i(v1) | ~ % 236.05/38.22 | $i(v0) | ~ class_Fields_Ofield(v1) | ~ % 236.05/38.22 | class_Int_Onumber__ring(v1)) % 236.05/38.22 | % 236.05/38.22 | ALPHA: (453) implies: % 236.05/38.22 | (454) c_Int_OBit1(c_Int_OPls) = all_1037_0 % 236.05/38.22 | % 236.05/38.22 | DELTA: instantiating (99) with fresh symbols all_1040_0, all_1040_1, % 236.05/38.22 | all_1040_2, all_1040_3 gives: % 236.05/38.22 | (455) c_Int_OBit1(all_1040_2) = all_1040_1 & c_Int_OBit1(c_Int_OPls) = % 236.05/38.22 | all_1040_2 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, % 236.05/38.22 | all_1040_1) = all_1040_0 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) % 236.05/38.22 | = all_1040_3 & $i(all_1040_0) & $i(all_1040_1) & $i(all_1040_2) & % 236.05/38.22 | $i(all_1040_3) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, % 236.05/38.22 | all_1040_3, all_1040_0) % 236.05/38.22 | % 236.05/38.22 | ALPHA: (455) implies: % 236.05/38.22 | (456) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1040_3, % 236.05/38.22 | all_1040_0) % 236.05/38.22 | (457) $i(all_1040_1) % 236.05/38.22 | (458) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1040_3 % 236.05/38.22 | (459) c_Int_Onumber__class_Onumber__of(tc_Int_Oint, all_1040_1) = % 236.05/38.22 | all_1040_0 % 236.05/38.22 | (460) c_Int_OBit1(c_Int_OPls) = all_1040_2 % 236.05/38.22 | % 236.05/38.22 | DELTA: instantiating (82) with fresh symbol all_1042_0 gives: % 236.05/38.22 | (461) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1042_0 & % 236.05/38.22 | $i(all_1042_0) & ! [v0: $i] : ! [v1: int] : (v1 = all_1042_0 | ~ % 236.05/38.22 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v1) | ~ % 236.05/38.22 | $i(v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, % 236.05/38.22 | c_Int_OPls)) & ! [v0: $i] : ( ~ % 236.05/38.22 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = all_1042_0) | % 236.05/38.22 | ~ $i(v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, % 236.05/38.22 | c_Int_OPls)) % 236.05/38.22 | % 236.05/38.22 | ALPHA: (461) implies: % 236.05/38.22 | (462) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1042_0 % 236.05/38.22 | % 236.05/38.22 | DELTA: instantiating (52) with fresh symbol all_1054_0 gives: % 236.05/38.22 | (463) c_Int_OBit1(c_Int_OPls) = all_1054_0 & $i(all_1054_0) & ! [v0: $i] : % 236.05/38.22 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~ % 236.05/38.22 | (c_Int_Onumber__class_Onumber__of(v1, all_1054_0) = v2) | ~ % 236.05/38.22 | (c_Rings_Oinverse__class_Odivide(v1, v0, v2) = v3) | ~ $i(v1) | ~ % 236.05/38.22 | $i(v0) | ~ class_Fields_Ofield(v1) | ~ % 236.05/38.22 | class_Int_Onumber__ring(v1)) % 236.05/38.22 | % 236.05/38.22 | ALPHA: (463) implies: % 236.05/38.22 | (464) c_Int_OBit1(c_Int_OPls) = all_1054_0 % 236.05/38.22 | % 236.05/38.22 | DELTA: instantiating (123) with fresh symbols all_1058_0, all_1058_1 gives: % 236.05/38.22 | (465) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1058_0 & % 236.05/38.22 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1058_1 & % 236.05/38.22 | $i(all_1058_0) & $i(all_1058_1) & ! [v0: any] : (v0 = all_1058_0 | % 236.05/38.22 | ~ (c_RealDef_Oreal(tc_Nat_Onat, v0) = all_1058_1) | ~ $i(v0)) & ! % 236.05/38.22 | [v0: int] : (v0 = all_1058_1 | ~ (c_RealDef_Oreal(tc_Nat_Onat, % 236.05/38.22 | all_1058_0) = v0)) % 236.05/38.22 | % 236.05/38.22 | ALPHA: (465) implies: % 236.05/38.22 | (466) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1058_0 % 236.05/38.22 | % 236.05/38.22 | DELTA: instantiating (40) with fresh symbols all_1065_0, all_1065_1, % 236.05/38.22 | all_1065_2 gives: % 236.05/38.22 | (467) c_Int_OBit1(c_Int_OPls) = all_1065_2 & c_Int_OBit0(all_1065_2) = % 236.05/38.22 | all_1065_1 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, % 236.05/38.22 | all_1065_1) = all_1065_0 & $i(all_1065_0) & $i(all_1065_1) & % 236.05/38.22 | $i(all_1065_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v0 | % 236.05/38.22 | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v0, % 236.05/38.22 | all_1065_0) = v1) | ~ % 236.05/38.22 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v1) = v2) | ~ % 236.05/38.22 | $i(v0)) % 236.05/38.22 | % 236.05/38.22 | ALPHA: (467) implies: % 236.05/38.22 | (468) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1065_1) = % 236.05/38.22 | all_1065_0 % 236.05/38.22 | (469) c_Int_OBit0(all_1065_2) = all_1065_1 % 236.05/38.22 | (470) c_Int_OBit1(c_Int_OPls) = all_1065_2 % 236.05/38.22 | (471) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v0 | ~ % 236.05/38.22 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v0, all_1065_0) % 236.05/38.22 | = v1) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v1) % 236.05/38.22 | = v2) | ~ $i(v0)) % 236.05/38.22 | % 236.05/38.22 | DELTA: instantiating (158) with fresh symbol all_1071_0 gives: % 236.05/38.22 | (472) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1071_0 & % 236.05/38.22 | $i(all_1071_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 236.05/38.22 | $i] : ! [v4: $i] : ( ~ (c_Divides_Odiv__class_Odiv(tc_Nat_Onat, % 236.05/38.22 | v0, v2) = v4) | ~ (c_Divides_Odiv__class_Odiv(tc_Nat_Onat, v0, % 236.05/38.22 | v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 236.05/38.22 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | ~ % 236.05/38.22 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1071_0, v2) | % 236.05/38.22 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v4)) % 236.05/38.22 | % 236.05/38.22 | ALPHA: (472) implies: % 236.05/38.22 | (473) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1071_0 % 236.05/38.22 | % 236.05/38.22 | DELTA: instantiating (68) with fresh symbols all_1074_0, all_1074_1 gives: % 236.05/38.22 | (474) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1074_1 & % 236.05/38.22 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1074_0 & % 236.05/38.22 | $i(all_1074_0) & $i(all_1074_1) & ! [v0: $i] : ( ~ $i(v0) | ~ % 236.05/38.22 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1074_1, v0) | % 236.05/38.22 | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1074_0, v0)) & ! % 236.05/38.22 | [v0: $i] : ( ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 236.05/38.22 | all_1074_0, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, % 236.05/38.22 | all_1074_1, v0)) % 236.05/38.22 | % 236.05/38.22 | ALPHA: (474) implies: % 236.05/38.22 | (475) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1074_0 % 236.05/38.22 | (476) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1074_1 % 236.05/38.22 | % 236.05/38.22 | DELTA: instantiating (181) with fresh symbol all_1077_0 gives: % 236.05/38.22 | (477) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1077_0 & % 236.05/38.22 | $i(all_1077_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 236.05/38.22 | $i] : ! [v4: $i] : ( ~ (c_Divides_Odiv__class_Odiv(tc_Int_Oint, % 236.05/38.22 | v2, v0) = v4) | ~ (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v1, % 236.05/38.22 | v0) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 236.05/38.22 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v1) | ~ % 236.05/38.22 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_1077_0) | % 236.05/38.22 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, v4)) % 236.05/38.22 | % 236.05/38.22 | ALPHA: (477) implies: % 236.05/38.22 | (478) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1077_0 % 236.05/38.22 | % 236.05/38.22 | DELTA: instantiating (59) with fresh symbol all_1086_0 gives: % 236.05/38.22 | (479) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1086_0 & % 236.05/38.22 | $i(all_1086_0) & ! [v0: $i] : ! [v1: $i] : ( ~ (c_Int_OBit0(v0) = % 236.05/38.22 | v1) | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 236.05/38.22 | v1, all_1086_0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, % 236.05/38.22 | all_1086_0)) & ! [v0: $i] : ! [v1: $i] : ( ~ (c_Int_OBit0(v0) = % 236.05/38.22 | v1) | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 236.05/38.22 | v0, all_1086_0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, % 236.05/38.22 | all_1086_0)) % 236.05/38.22 | % 236.05/38.22 | ALPHA: (479) implies: % 236.05/38.22 | (480) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1086_0 % 236.05/38.22 | % 236.05/38.22 | DELTA: instantiating (124) with fresh symbols all_1089_0, all_1089_1 gives: % 236.05/38.22 | (481) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1089_0 & % 236.05/38.22 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1089_1 & % 236.05/38.22 | $i(all_1089_0) & $i(all_1089_1) & ! [v0: any] : ! [v1: $i] : (v0 = % 236.05/38.22 | all_1089_0 | ~ (c_RealDef_Oreal(tc_Nat_Onat, v0) = v1) | ~ $i(v0) % 236.05/38.22 | | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, % 236.05/38.22 | all_1089_1)) & ! [v0: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, % 236.05/38.22 | all_1089_0) = v0) | % 236.05/38.22 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, % 236.05/38.22 | all_1089_1)) % 236.05/38.22 | % 236.05/38.22 | ALPHA: (481) implies: % 236.05/38.22 | (482) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1089_0 % 236.05/38.22 | % 236.05/38.22 | DELTA: instantiating (187) with fresh symbol all_1092_0 gives: % 236.05/38.23 | (483) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1092_0 & % 236.05/38.23 | $i(all_1092_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 236.05/38.23 | $i] : ! [v4: $i] : ( ~ (c_Power_Opower__class_Opower(tc_Nat_Onat, % 236.05/38.23 | v2, v1) = v3) | ~ (c_Power_Opower__class_Opower(tc_Nat_Onat, % 236.05/38.23 | v2, v0) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 236.05/38.23 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v4) | ~ % 236.05/38.23 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1092_0, v2) | % 236.05/38.23 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0)) % 236.05/38.23 | % 236.05/38.23 | ALPHA: (483) implies: % 236.05/38.23 | (484) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1092_0 % 236.05/38.23 | % 236.05/38.23 | DELTA: instantiating (159) with fresh symbols all_1101_0, all_1101_1 gives: % 236.05/38.23 | (485) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1101_1 & % 236.05/38.23 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1101_0 & % 236.05/38.23 | $i(all_1101_0) & $i(all_1101_1) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 236.05/38.23 | $i] : ( ~ (c_Divides_Odiv__class_Odiv(tc_Nat_Onat, v0, v1) = v2) | % 236.05/38.23 | ~ $i(v1) | ~ $i(v0) | ~ % 236.05/38.23 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1101_0, v0) | ~ % 236.05/38.23 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1101_1, v1) | % 236.05/38.23 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v0)) % 236.05/38.23 | % 236.05/38.23 | ALPHA: (485) implies: % 236.05/38.23 | (486) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1101_0 % 236.05/38.23 | % 236.05/38.23 | DELTA: instantiating (58) with fresh symbol all_1110_0 gives: % 236.05/38.23 | (487) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1110_0 & % 236.05/38.23 | $i(all_1110_0) & ! [v0: $i] : ! [v1: $i] : ( ~ (c_Int_OBit1(v0) = % 236.05/38.23 | v1) | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 236.05/38.23 | v1, all_1110_0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, % 236.05/38.23 | all_1110_0)) & ! [v0: $i] : ! [v1: $i] : ( ~ (c_Int_OBit1(v0) = % 236.05/38.23 | v1) | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 236.05/38.23 | v0, all_1110_0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, % 236.05/38.23 | all_1110_0)) % 236.05/38.23 | % 236.05/38.23 | ALPHA: (487) implies: % 236.05/38.23 | (488) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1110_0 % 236.05/38.23 | % 236.05/38.23 | DELTA: instantiating (218) with fresh symbol all_1113_0 gives: % 236.05/38.23 | (489) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1113_0 & % 236.05/38.23 | $i(all_1113_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 236.05/38.23 | $i] : ! [v4: $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Int_Oint, % 236.05/38.23 | v0, v2) = v3) | ~ (c_Groups_Otimes__class_Otimes(tc_Int_Oint, % 236.05/38.23 | v0, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 236.05/38.23 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) | ~ % 236.05/38.23 | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1113_0, v0) | % 236.05/38.23 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v4)) % 236.05/38.23 | % 236.05/38.23 | ALPHA: (489) implies: % 236.05/38.23 | (490) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1113_0 % 236.05/38.23 | % 236.05/38.23 | DELTA: instantiating (87) with fresh symbol all_1116_0 gives: % 236.05/38.23 | (491) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1116_0 & % 236.05/38.23 | $i(all_1116_0) & ! [v0: $i] : ! [v1: $i] : ( ~ % 236.05/38.23 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v1) | ~ % 236.05/38.23 | $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, % 236.05/38.23 | v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1116_0, v1)) % 236.05/38.23 | & ! [v0: $i] : ! [v1: $i] : ( ~ % 236.05/38.23 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v1) | ~ % 236.05/38.23 | $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1116_0, % 236.05/38.23 | v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0)) % 236.05/38.23 | % 236.05/38.23 | ALPHA: (491) implies: % 236.05/38.23 | (492) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1116_0 % 236.05/38.23 | % 236.05/38.23 | DELTA: instantiating (72) with fresh symbols all_1119_0, all_1119_1 gives: % 236.05/38.23 | (493) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1119_1 & % 236.05/38.23 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1119_0 & % 236.05/38.23 | $i(all_1119_0) & $i(all_1119_1) & ! [v0: any] : ! [v1: $i] : (v0 = % 236.05/38.23 | all_1119_0 | ~ (c_Groups_Oabs__class_Oabs(tc_Int_Oint, v0) = v1) | % 236.05/38.23 | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, % 236.05/38.23 | all_1119_1)) & ! [v0: $i] : ( ~ % 236.05/38.23 | (c_Groups_Oabs__class_Oabs(tc_Int_Oint, all_1119_0) = v0) | % 236.05/38.23 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_1119_1)) % 236.05/38.23 | % 236.05/38.23 | ALPHA: (493) implies: % 236.05/38.23 | (494) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1119_0 % 236.05/38.23 | (495) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1119_1 % 236.05/38.23 | % 236.05/38.23 | DELTA: instantiating (180) with fresh symbol all_1122_0 gives: % 236.05/38.23 | (496) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1122_0 & % 236.05/38.23 | $i(all_1122_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 236.05/38.23 | $i] : ! [v4: $i] : ( ~ (c_Divides_Odiv__class_Odiv(tc_Int_Oint, % 236.05/38.23 | v2, v0) = v3) | ~ (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v1, % 236.05/38.23 | v0) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 236.05/38.23 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v1) | ~ % 236.05/38.23 | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1122_0, v0) | % 236.05/38.23 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, v4)) % 236.05/38.23 | % 236.05/38.23 | ALPHA: (496) implies: % 236.05/38.23 | (497) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1122_0 % 236.05/38.23 | % 236.05/38.23 | DELTA: instantiating (182) with fresh symbols all_1125_0, all_1125_1 gives: % 236.05/38.23 | (498) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1125_0 & % 236.05/38.23 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1125_1 & % 236.05/38.23 | $i(all_1125_0) & $i(all_1125_1) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 236.05/38.23 | $i] : ( ~ (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v1, v0) = v2) | % 236.05/38.23 | ~ $i(v1) | ~ $i(v0) | ~ % 236.05/38.23 | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1125_0, v0) | ~ % 236.05/38.23 | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1125_1, v1) | % 236.05/38.23 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1)) % 236.05/38.23 | % 236.05/38.23 | ALPHA: (498) implies: % 236.05/38.23 | (499) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1125_1 % 236.05/38.23 | (500) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1125_0 % 236.05/38.23 | % 236.05/38.23 | DELTA: instantiating (215) with fresh symbol all_1134_0 gives: % 236.05/38.23 | (501) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1134_0 & $i(all_1134_0) % 236.05/38.23 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.05/38.23 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, v1, v0) = v2) | ~ % 236.05/38.23 | $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: int] : ((v4 = % 236.05/38.23 | all_1134_0 & c_Groups_Oabs__class_Oabs(tc_Int_Oint, v1) = % 236.05/38.23 | all_1134_0) | ( ~ (v3 = all_1134_0) & % 236.05/38.23 | c_Groups_Oabs__class_Oabs(tc_Int_Oint, v2) = v3 & $i(v3)))) % 236.05/38.23 | % 236.05/38.23 | ALPHA: (501) implies: % 236.05/38.23 | (502) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1134_0 % 236.05/38.23 | % 236.05/38.23 | DELTA: instantiating (194) with fresh symbols all_1143_0, all_1143_1, % 236.05/38.23 | all_1143_2, all_1143_3, all_1143_4 gives: % 236.05/38.23 | (503) c_NthRoot_Osqrt(all_1143_1) = all_1143_0 & c_Int_OBit1(c_Int_OPls) = % 236.05/38.23 | all_1143_3 & c_Int_OBit0(all_1143_3) = all_1143_2 & % 236.05/38.23 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1143_2) = % 236.05/38.23 | all_1143_1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = % 236.05/38.23 | all_1143_4 & $i(all_1143_0) & $i(all_1143_1) & $i(all_1143_2) & % 236.05/38.23 | $i(all_1143_3) & $i(all_1143_4) & % 236.05/38.23 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1143_4, % 236.05/38.23 | all_1143_0) % 236.05/38.23 | % 236.05/38.23 | ALPHA: (503) implies: % 236.05/38.23 | (504) $i(all_1143_1) % 236.05/38.23 | (505) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1143_2) = % 236.05/38.23 | all_1143_1 % 236.05/38.23 | (506) c_Int_OBit0(all_1143_3) = all_1143_2 % 236.05/38.23 | (507) c_Int_OBit1(c_Int_OPls) = all_1143_3 % 236.05/38.23 | % 236.05/38.23 | DELTA: instantiating (196) with fresh symbols all_1145_0, all_1145_1, % 236.05/38.23 | all_1145_2 gives: % 236.05/38.23 | (508) c_Int_OBit1(c_Int_OPls) = all_1145_2 & c_Int_OBit0(all_1145_2) = % 236.05/38.23 | all_1145_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 236.05/38.23 | all_1145_1) = all_1145_0 & $i(all_1145_0) & $i(all_1145_1) & % 236.05/38.23 | $i(all_1145_2) & ! [v0: $i] : ! [v1: $i] : ( ~ % 236.05/38.23 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v0, all_1145_0) = % 236.05/38.23 | v1) | ~ $i(v0) | ? [v2: $i] : (c_NthRoot_Osqrt(v1) = v2 & % 236.05/38.23 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v0) = v2 & $i(v2))) % 236.05/38.23 | % 236.05/38.23 | ALPHA: (508) implies: % 236.05/38.23 | (509) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1145_1) = % 236.05/38.23 | all_1145_0 % 236.05/38.23 | (510) c_Int_OBit0(all_1145_2) = all_1145_1 % 236.05/38.23 | (511) c_Int_OBit1(c_Int_OPls) = all_1145_2 % 236.05/38.23 | % 236.05/38.23 | DELTA: instantiating (173) with fresh symbol all_1148_0 gives: % 236.05/38.23 | (512) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1148_0 & % 236.05/38.23 | $i(all_1148_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 236.05/38.23 | $i] : ! [v4: $i] : ( ~ (c_Divides_Odiv__class_Odiv(tc_Int_Oint, % 236.05/38.23 | v2, v1) = v4) | ~ (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v2, % 236.05/38.23 | v0) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 236.05/38.23 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | ~ % 236.05/38.23 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1148_0, v2) | ~ % 236.05/38.23 | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1148_0, v1) | % 236.05/38.23 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, v4)) % 236.05/38.23 | % 236.05/38.23 | ALPHA: (512) implies: % 236.05/38.23 | (513) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1148_0 % 236.05/38.23 | % 236.05/38.23 | DELTA: instantiating (178) with fresh symbol all_1151_0 gives: % 236.05/38.23 | (514) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1151_0 & % 236.05/38.23 | $i(all_1151_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 236.05/38.23 | $i] : ! [v4: $i] : ( ~ (c_Divides_Odiv__class_Odiv(tc_Int_Oint, % 236.05/38.23 | v2, v1) = v3) | ~ (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v2, % 236.05/38.23 | v0) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 236.05/38.23 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | ~ % 236.05/38.23 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, all_1151_0) | ~ % 236.05/38.23 | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1151_0, v1) | % 236.05/38.23 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, v4)) % 236.05/38.23 | % 236.05/38.23 | ALPHA: (514) implies: % 236.05/38.23 | (515) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1151_0 % 236.05/38.23 | % 236.05/38.23 | DELTA: instantiating (193) with fresh symbols all_1154_0, all_1154_1, % 236.05/38.23 | all_1154_2, all_1154_3, all_1154_4 gives: % 236.05/38.23 | (516) c_NthRoot_Osqrt(all_1154_1) = all_1154_0 & c_Int_OBit1(c_Int_OPls) = % 236.05/38.23 | all_1154_3 & c_Int_OBit0(all_1154_3) = all_1154_2 & % 236.05/38.23 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1154_2) = % 236.05/38.23 | all_1154_1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = % 236.05/38.23 | all_1154_4 & $i(all_1154_0) & $i(all_1154_1) & $i(all_1154_2) & % 236.05/38.23 | $i(all_1154_3) & $i(all_1154_4) & % 236.05/38.23 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1154_4, % 236.05/38.23 | all_1154_0) % 236.05/38.23 | % 236.05/38.23 | ALPHA: (516) implies: % 236.05/38.23 | (517) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1154_2) = % 236.05/38.23 | all_1154_1 % 236.05/38.23 | (518) c_Int_OBit0(all_1154_3) = all_1154_2 % 236.05/38.23 | (519) c_Int_OBit1(c_Int_OPls) = all_1154_3 % 236.05/38.23 | % 236.05/38.23 | DELTA: instantiating (195) with fresh symbols all_1156_0, all_1156_1, % 236.05/38.23 | all_1156_2, all_1156_3, all_1156_4 gives: % 236.05/38.23 | (520) c_NthRoot_Osqrt(all_1156_1) = all_1156_0 & c_Int_OBit1(c_Int_OPls) = % 236.05/38.23 | all_1156_3 & c_Int_OBit0(all_1156_3) = all_1156_2 & % 236.05/38.23 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1156_2) = % 236.05/38.23 | all_1156_1 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1156_4 % 236.05/38.23 | & $i(all_1156_0) & $i(all_1156_1) & $i(all_1156_2) & $i(all_1156_3) & % 236.05/38.23 | $i(all_1156_4) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, % 236.05/38.23 | all_1156_4, all_1156_0) % 236.05/38.23 | % 236.05/38.23 | ALPHA: (520) implies: % 236.05/38.23 | (521) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1156_2) = % 236.05/38.23 | all_1156_1 % 236.05/38.23 | (522) c_Int_OBit0(all_1156_3) = all_1156_2 % 236.05/38.23 | (523) c_Int_OBit1(c_Int_OPls) = all_1156_3 % 236.05/38.23 | % 236.05/38.23 | DELTA: instantiating (34) with fresh symbols all_1158_0, all_1158_1, % 236.05/38.23 | all_1158_2, all_1158_3, all_1158_4 gives: % 236.05/38.23 | (524) c_Int_OBit1(c_Int_OPls) = all_1158_3 & c_Int_OBit0(all_1158_3) = % 236.05/38.23 | all_1158_2 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, % 236.05/38.23 | all_1158_2) = all_1158_1 & % 236.05/38.23 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, % 236.05/38.23 | all_1158_1) = all_1158_0 & % 236.05/38.23 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1158_4 & % 236.05/38.23 | $i(all_1158_0) & $i(all_1158_1) & $i(all_1158_2) & $i(all_1158_3) & % 236.05/38.23 | $i(all_1158_4) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, % 236.05/38.23 | all_1158_4, all_1158_0) % 236.05/38.23 | % 236.05/38.23 | ALPHA: (524) implies: % 236.05/38.23 | (525) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, % 236.05/38.23 | all_1158_1) = all_1158_0 % 236.05/38.23 | (526) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1158_2) = % 236.05/38.23 | all_1158_1 % 236.05/38.23 | (527) c_Int_OBit0(all_1158_3) = all_1158_2 % 236.05/38.23 | (528) c_Int_OBit1(c_Int_OPls) = all_1158_3 % 236.05/38.23 | % 236.05/38.23 | DELTA: instantiating (25) with fresh symbol all_1160_0 gives: % 236.05/38.23 | (529) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1160_0 & % 236.05/38.23 | $i(all_1160_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = % 236.05/38.23 | all_1160_0 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) % 236.05/38.23 | = v2) | ~ $i(v1) | ~ $i(v0) | ~ % 236.05/38.23 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0)) & ! [v0: % 236.05/38.23 | $i] : ! [v1: $i] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, % 236.05/38.23 | v1, v0) = all_1160_0) | ~ $i(v1) | ~ $i(v0) | % 236.05/38.23 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0)) % 236.05/38.23 | % 236.05/38.23 | ALPHA: (529) implies: % 236.05/38.23 | (530) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1160_0 % 236.05/38.23 | % 236.05/38.23 | DELTA: instantiating (43) with fresh symbols all_1166_0, all_1166_1 gives: % 236.05/38.23 | (531) c_Int_OBit1(c_Int_OPls) = all_1166_1 & c_Int_OBit0(all_1166_1) = % 236.05/38.23 | all_1166_0 & $i(all_1166_0) & $i(all_1166_1) & ! [v0: $i] : ! [v1: % 236.05/38.23 | $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v0, all_1166_0) = v1) | % 236.05/38.23 | ~ $i(v0) | ~ class_Int_Onumber__ring(v0) | ? [v2: $i] : % 236.05/38.23 | (c_Groups_Oone__class_Oone(v0) = v2 & % 236.05/38.23 | c_Groups_Oplus__class_Oplus(v0, v2, v2) = v1 & $i(v2) & $i(v1))) % 236.05/38.23 | % 236.05/38.23 | ALPHA: (531) implies: % 236.05/38.23 | (532) c_Int_OBit0(all_1166_1) = all_1166_0 % 236.65/38.23 | (533) c_Int_OBit1(c_Int_OPls) = all_1166_1 % 236.65/38.23 | % 236.65/38.23 | DELTA: instantiating (137) with fresh symbols all_1169_0, all_1169_1, % 236.65/38.23 | all_1169_2 gives: % 236.65/38.23 | (534) c_Int_OBit1(c_Int_OPls) = all_1169_2 & c_Int_OBit0(all_1169_2) = % 236.65/38.23 | all_1169_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 236.65/38.23 | all_1169_1) = all_1169_0 & $i(all_1169_0) & $i(all_1169_1) & % 236.65/38.23 | $i(all_1169_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v1 | % 236.65/38.23 | ~ (c_Power_Opower__class_Opower(v0, v1, all_1169_0) = v2) | ~ % 236.65/38.23 | (c_Groups_Ozero__class_Ozero(v0) = v1) | ~ $i(v0) | ~ % 236.65/38.23 | class_Rings_Osemiring__1(v0)) % 236.65/38.23 | % 236.65/38.23 | ALPHA: (534) implies: % 236.65/38.23 | (535) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1169_1) = % 236.65/38.23 | all_1169_0 % 236.65/38.23 | (536) c_Int_OBit0(all_1169_2) = all_1169_1 % 236.65/38.23 | (537) c_Int_OBit1(c_Int_OPls) = all_1169_2 % 236.65/38.23 | % 236.65/38.23 | DELTA: instantiating (138) with fresh symbols all_1172_0, all_1172_1, % 236.65/38.23 | all_1172_2 gives: % 236.65/38.23 | (538) c_Int_OBit1(c_Int_OPls) = all_1172_2 & c_Int_OBit0(all_1172_2) = % 236.65/38.23 | all_1172_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 236.65/38.23 | all_1172_1) = all_1172_0 & $i(all_1172_0) & $i(all_1172_1) & % 236.65/38.23 | $i(all_1172_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v1 | % 236.65/38.23 | ~ (c_Power_Opower__class_Opower(v0, v1, all_1172_0) = v2) | ~ % 236.65/38.23 | (c_Groups_Oone__class_Oone(v0) = v1) | ~ $i(v0) | ~ % 236.65/38.23 | class_Rings_Osemiring__1(v0)) % 236.65/38.23 | % 236.65/38.23 | ALPHA: (538) implies: % 236.65/38.23 | (539) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1172_1) = % 236.65/38.23 | all_1172_0 % 236.65/38.23 | (540) c_Int_OBit0(all_1172_2) = all_1172_1 % 236.65/38.23 | (541) c_Int_OBit1(c_Int_OPls) = all_1172_2 % 236.65/38.23 | % 236.65/38.23 | DELTA: instantiating (148) with fresh symbols all_1175_0, all_1175_1, % 236.65/38.23 | all_1175_2, all_1175_3 gives: % 236.65/38.24 | (542) c_Int_OBit1(c_Int_OPls) = all_1175_2 & c_Int_OBit0(all_1175_2) = % 236.65/38.24 | all_1175_1 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, % 236.65/38.24 | all_1175_1) = all_1175_0 & % 236.65/38.24 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1175_3 & % 236.65/38.24 | $i(all_1175_0) & $i(all_1175_1) & $i(all_1175_2) & $i(all_1175_3) & % 236.65/38.24 | ! [v0: $i] : ! [v1: $i] : ( ~ % 236.65/38.24 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, all_1175_0, v0) = % 236.65/38.24 | v1) | ~ $i(v0) | % 236.65/38.24 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1175_3, % 236.65/38.24 | v1)) % 236.65/38.24 | % 236.65/38.24 | ALPHA: (542) implies: % 236.65/38.24 | (543) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1175_1) = % 236.65/38.24 | all_1175_0 % 236.65/38.24 | (544) c_Int_OBit0(all_1175_2) = all_1175_1 % 236.65/38.24 | (545) c_Int_OBit1(c_Int_OPls) = all_1175_2 % 236.65/38.24 | % 236.65/38.24 | DELTA: instantiating (149) with fresh symbols all_1178_0, all_1178_1, % 236.65/38.24 | all_1178_2 gives: % 236.65/38.24 | (546) c_Int_OBit1(c_Int_OPls) = all_1178_2 & c_Int_OBit0(all_1178_2) = % 236.65/38.24 | all_1178_1 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, % 236.65/38.24 | all_1178_1) = all_1178_0 & $i(all_1178_0) & $i(all_1178_1) & % 236.65/38.24 | $i(all_1178_2) & ! [v0: $i] : ! [v1: $i] : ( ~ % 236.65/38.24 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, all_1178_0, v0) = % 236.65/38.24 | v1) | ~ $i(v0) | ? [v2: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v0) % 236.65/38.24 | = v2 & $i(v2) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, % 236.65/38.24 | v2, v1))) % 236.65/38.24 | % 236.65/38.24 | ALPHA: (546) implies: % 236.65/38.24 | (547) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1178_1) = % 236.65/38.24 | all_1178_0 % 236.65/38.24 | (548) c_Int_OBit0(all_1178_2) = all_1178_1 % 236.65/38.24 | (549) c_Int_OBit1(c_Int_OPls) = all_1178_2 % 236.65/38.24 | % 236.65/38.24 | DELTA: instantiating (162) with fresh symbol all_1190_0 gives: % 236.65/38.24 | (550) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1190_0 & % 236.65/38.24 | $i(all_1190_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 236.65/38.24 | $i] : ( ~ (c_Power_Opower__class_Opower(v2, v1, v0) = v3) | ~ % 236.65/38.24 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 236.65/38.24 | class_Rings_Olinordered__semidom(v2) | ~ % 236.65/38.24 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1190_0, v0) | ? % 236.65/38.24 | [v4: $i] : (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) & ( ~ % 236.65/38.24 | c_Orderings_Oord__class_Oless(v2, v4, v1) | % 236.65/38.24 | c_Orderings_Oord__class_Oless(v2, v4, v3)))) % 236.65/38.24 | % 236.65/38.24 | ALPHA: (550) implies: % 236.65/38.24 | (551) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1190_0 % 236.65/38.24 | % 236.65/38.24 | DELTA: instantiating (70) with fresh symbol all_1193_0 gives: % 236.65/38.24 | (552) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1193_0 & $i(all_1193_0) % 236.65/38.24 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.65/38.24 | (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v0, all_1193_0) = v2) | % 236.65/38.24 | ~ $i(v1) | ~ $i(v0) | ~ % 236.65/38.24 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v2) | % 236.65/38.24 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0)) & ! [v0: $i] : % 236.65/38.24 | ! [v1: $i] : ! [v2: $i] : ( ~ % 236.65/38.24 | (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v0, all_1193_0) = v2) | % 236.65/38.24 | ~ $i(v1) | ~ $i(v0) | ~ % 236.65/38.24 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | % 236.65/38.24 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v2)) % 236.65/38.24 | % 236.65/38.24 | ALPHA: (552) implies: % 236.65/38.24 | (553) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1193_0 % 236.65/38.24 | % 236.65/38.24 | DELTA: instantiating (69) with fresh symbol all_1199_0 gives: % 236.65/38.24 | (554) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1199_0 & $i(all_1199_0) % 236.65/38.24 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.65/38.24 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_1199_0) = v2) | % 236.65/38.24 | ~ $i(v1) | ~ $i(v0) | ~ % 236.65/38.24 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | % 236.65/38.24 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2)) & ! [v0: $i] : % 236.65/38.24 | ! [v1: $i] : ! [v2: $i] : ( ~ % 236.65/38.24 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_1199_0) = v2) | % 236.65/38.24 | ~ $i(v1) | ~ $i(v0) | ~ % 236.65/38.24 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2) | % 236.65/38.24 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0)) % 236.65/38.24 | % 236.65/38.24 | ALPHA: (554) implies: % 236.65/38.24 | (555) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1199_0 % 236.65/38.24 | % 236.65/38.24 | DELTA: instantiating (198) with fresh symbols all_1202_0, all_1202_1, % 236.65/38.24 | all_1202_2, all_1202_3 gives: % 236.65/38.24 | (556) c_Int_OBit1(c_Int_OPls) = all_1202_2 & c_Int_OBit0(all_1202_2) = % 236.65/38.24 | all_1202_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 236.65/38.24 | all_1202_1) = all_1202_0 & % 236.65/38.24 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1202_3 & % 236.65/38.24 | $i(all_1202_0) & $i(all_1202_1) & $i(all_1202_2) & $i(all_1202_3) & % 236.65/38.24 | ! [v0: $i] : ! [v1: $i] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ $i(v0) % 236.65/38.24 | | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, % 236.65/38.24 | all_1202_3, v0) | c_Power_Opower__class_Opower(tc_RealDef_Oreal, % 236.65/38.24 | v1, all_1202_0) = v0) % 236.65/38.24 | % 236.65/38.24 | ALPHA: (556) implies: % 236.65/38.24 | (557) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1202_1) = % 236.65/38.24 | all_1202_0 % 236.65/38.24 | (558) c_Int_OBit0(all_1202_2) = all_1202_1 % 236.65/38.24 | (559) c_Int_OBit1(c_Int_OPls) = all_1202_2 % 236.65/38.24 | % 236.65/38.24 | DELTA: instantiating (139) with fresh symbols all_1208_0, all_1208_1, % 236.65/38.24 | all_1208_2 gives: % 236.65/38.24 | (560) c_Int_OBit1(c_Int_OPls) = all_1208_2 & c_Int_OBit0(all_1208_2) = % 236.65/38.24 | all_1208_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 236.65/38.24 | all_1208_1) = all_1208_0 & $i(all_1208_0) & $i(all_1208_1) & % 236.65/38.24 | $i(all_1208_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 236.65/38.24 | $i] : (v3 = v2 | ~ (c_Power_Opower__class_Opower(v1, v0, % 236.65/38.24 | all_1208_0) = v2) | ~ (c_Groups_Oabs__class_Oabs(v1, v2) = v3) % 236.65/38.24 | | ~ $i(v1) | ~ $i(v0) | ~ class_Rings_Olinordered__idom(v1)) % 236.65/38.24 | % 236.65/38.24 | ALPHA: (560) implies: % 236.65/38.24 | (561) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1208_1) = % 236.65/38.24 | all_1208_0 % 236.65/38.24 | (562) c_Int_OBit0(all_1208_2) = all_1208_1 % 236.65/38.24 | (563) c_Int_OBit1(c_Int_OPls) = all_1208_2 % 236.65/38.24 | % 236.65/38.24 | DELTA: instantiating (19) with fresh symbol all_1211_0 gives: % 236.65/38.24 | (564) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1211_0 & % 236.65/38.24 | $i(all_1211_0) & ! [v0: $i] : ! [v1: any] : (v1 = all_1211_0 | ~ % 236.65/38.24 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_1211_0) | % 236.65/38.24 | ~ $i(v1) | ~ $i(v0)) & ! [v0: any] : ! [v1: $i] : (v0 = % 236.65/38.24 | all_1211_0 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = % 236.65/38.24 | all_1211_0) | ~ $i(v1) | ~ $i(v0)) & ! [v0: int] : (v0 = % 236.65/38.24 | all_1211_0 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, % 236.65/38.24 | all_1211_0, all_1211_0) = v0)) % 236.65/38.24 | % 236.65/38.24 | ALPHA: (564) implies: % 236.65/38.24 | (565) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1211_0 % 236.65/38.24 | % 236.65/38.24 | DELTA: instantiating (15) with fresh symbol all_1216_0 gives: % 236.65/38.24 | (566) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1216_0 & % 236.65/38.24 | $i(all_1216_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.65/38.24 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v2) | ~ % 236.65/38.24 | $i(v1) | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, % 236.65/38.24 | v0, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1216_0, % 236.65/38.24 | v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.65/38.24 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v2) | ~ % 236.65/38.24 | $i(v1) | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, % 236.65/38.24 | all_1216_0, v2) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, % 236.65/38.24 | v1)) % 236.65/38.24 | % 236.65/38.24 | ALPHA: (566) implies: % 236.65/38.24 | (567) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1216_0 % 236.65/38.24 | % 236.65/38.24 | DELTA: instantiating (80) with fresh symbol all_1224_0 gives: % 236.65/38.24 | (568) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1224_0 & % 236.65/38.24 | $i(all_1224_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.65/38.24 | (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v1, v0) = v2) | ~ % 236.65/38.24 | $i(v1) | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 236.65/38.24 | v2, all_1224_0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, % 236.65/38.24 | v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.65/38.24 | (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v1, v0) = v2) | ~ % 236.65/38.24 | $i(v1) | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 236.65/38.24 | v1, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, % 236.65/38.24 | all_1224_0)) % 236.65/38.24 | % 236.65/38.24 | ALPHA: (568) implies: % 236.65/38.24 | (569) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1224_0 % 236.65/38.24 | % 236.65/38.24 | DELTA: instantiating (125) with fresh symbols all_1230_0, all_1230_1 gives: % 236.65/38.24 | (570) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1230_0 & % 236.65/38.24 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1230_1 & % 236.65/38.24 | $i(all_1230_0) & $i(all_1230_1) & ! [v0: $i] : ! [v1: $i] : ( ~ % 236.65/38.24 | (c_RealDef_Oreal(tc_Nat_Onat, v0) = v1) | ~ $i(v0) | ~ % 236.65/38.24 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1230_0, v0) | % 236.65/38.24 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1230_1, v1)) & % 236.65/38.24 | ! [v0: $i] : ! [v1: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v0) = % 236.65/38.24 | v1) | ~ $i(v0) | ~ % 236.65/38.24 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1230_1, v1) | % 236.65/38.24 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1230_0, v0)) % 236.65/38.24 | % 236.65/38.24 | ALPHA: (570) implies: % 236.65/38.24 | (571) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1230_0 % 236.65/38.24 | % 236.65/38.24 | DELTA: instantiating (73) with fresh symbol all_1233_0 gives: % 236.65/38.24 | (572) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1233_0 & $i(all_1233_0) % 236.65/38.24 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.65/38.24 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, all_1233_0) = v2) | % 236.65/38.24 | ~ $i(v1) | ~ $i(v0) | ~ % 236.65/38.24 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v0) | % 236.65/38.24 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0)) & ! [v0: $i] : % 236.65/38.24 | ! [v1: $i] : ! [v2: $i] : ( ~ % 236.65/38.24 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, all_1233_0) = v2) | % 236.65/38.24 | ~ $i(v1) | ~ $i(v0) | ~ % 236.65/38.24 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | % 236.65/38.24 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v0)) % 236.65/38.24 | % 236.65/38.24 | ALPHA: (572) implies: % 236.65/38.24 | (573) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1233_0 % 236.65/38.24 | % 236.65/38.24 | DELTA: instantiating (37) with fresh symbols all_1236_0, all_1236_1 gives: % 236.65/38.24 | (574) c_Int_OBit1(c_Int_OPls) = all_1236_1 & c_Int_OBit0(all_1236_1) = % 236.65/38.24 | all_1236_0 & $i(all_1236_0) & $i(all_1236_1) & ! [v0: $i] : ! [v1: % 236.65/38.24 | $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 236.65/38.24 | (c_Int_Onumber__class_Onumber__of(v0, all_1236_0) = v2) | ~ % 236.65/38.24 | (c_Rings_Oinverse__class_Odivide(v0, v1, v2) = v3) | ~ % 236.65/38.24 | (c_Groups_Oone__class_Oone(v0) = v1) | ~ $i(v0) | ~ % 236.65/38.24 | class_Int_Onumber__ring(v0) | ~ % 236.65/38.24 | class_Fields_Olinordered__field__inverse__zero(v0) | ? [v4: $i] : % 236.65/38.24 | (c_Groups_Ozero__class_Ozero(v0) = v4 & $i(v4) & % 236.65/38.24 | c_Orderings_Oord__class_Oless(v0, v4, v3))) % 236.65/38.24 | % 236.65/38.24 | ALPHA: (574) implies: % 236.65/38.24 | (575) c_Int_OBit0(all_1236_1) = all_1236_0 % 236.65/38.24 | (576) c_Int_OBit1(c_Int_OPls) = all_1236_1 % 236.65/38.24 | % 236.65/38.24 | DELTA: instantiating (238) with fresh symbols all_1247_0, all_1247_1, % 236.65/38.24 | all_1247_2, all_1247_3, all_1247_4, all_1247_5 gives: % 236.65/38.24 | (577) c_Complex_Ocomplex_OComplex(v_x____, v_y____) = all_1247_2 & % 236.65/38.24 | c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, all_1247_3, % 236.65/38.24 | all_1247_2) = all_1247_1 & v_s(all_1247_4) = all_1247_3 & % 236.65/38.24 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1247_1) = % 236.65/38.24 | all_1247_0 & c_Fun_Ocomp(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat, % 236.65/38.24 | v_f____, v_ga____) = all_1247_5 & hAPP(all_1247_5, v_n____) = % 236.65/38.24 | all_1247_4 & $i(all_1247_0) & $i(all_1247_1) & $i(all_1247_2) & % 236.65/38.24 | $i(all_1247_3) & $i(all_1247_4) & $i(all_1247_5) & ~ % 236.65/38.24 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1247_0, v_e____) % 236.65/38.24 | % 236.65/38.24 | ALPHA: (577) implies: % 236.65/38.24 | (578) ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1247_0, % 236.65/38.24 | v_e____) % 236.65/38.24 | (579) $i(all_1247_3) % 236.65/38.24 | (580) hAPP(all_1247_5, v_n____) = all_1247_4 % 236.65/38.24 | (581) c_Fun_Ocomp(tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat, v_f____, v_ga____) % 236.65/38.24 | = all_1247_5 % 236.65/38.24 | (582) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1247_1) = % 236.65/38.24 | all_1247_0 % 236.65/38.24 | (583) v_s(all_1247_4) = all_1247_3 % 236.65/38.24 | (584) c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, all_1247_3, % 236.65/38.24 | all_1247_2) = all_1247_1 % 236.65/38.24 | (585) c_Complex_Ocomplex_OComplex(v_x____, v_y____) = all_1247_2 % 236.65/38.24 | % 236.65/38.24 | DELTA: instantiating (41) with fresh symbol all_1251_0 gives: % 236.65/38.24 | (586) c_Int_OBit1(c_Int_OPls) = all_1251_0 & $i(all_1251_0) & ! [v0: $i] : % 236.65/38.24 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 236.65/38.24 | (c_Int_Onumber__class_Onumber__of(v1, v2) = v3) | ~ % 236.65/38.24 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_1251_0) = v2) | % 236.65/38.24 | ~ $i(v1) | ~ $i(v0) | ~ class_Int_Onumber__ring(v1) | ? [v4: $i] % 236.65/38.24 | : ? [v5: $i] : (c_Int_Onumber__class_Onumber__of(v1, v0) = v4 & % 236.65/38.24 | c_Groups_Oone__class_Oone(v1) = v5 & % 236.65/38.24 | c_Groups_Oplus__class_Oplus(v1, v4, v5) = v3 & $i(v5) & $i(v4) & % 236.65/38.24 | $i(v3))) % 236.65/38.24 | % 236.65/38.24 | ALPHA: (586) implies: % 236.65/38.24 | (587) c_Int_OBit1(c_Int_OPls) = all_1251_0 % 236.65/38.24 | % 236.65/38.24 | DELTA: instantiating (140) with fresh symbols all_1257_0, all_1257_1, % 236.65/38.24 | all_1257_2 gives: % 236.65/38.24 | (588) c_Int_OBit1(c_Int_OPls) = all_1257_2 & c_Int_OBit0(all_1257_2) = % 236.65/38.24 | all_1257_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 236.65/38.24 | all_1257_1) = all_1257_0 & $i(all_1257_0) & $i(all_1257_1) & % 236.65/38.24 | $i(all_1257_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 236.65/38.24 | $i] : ( ~ (c_Power_Opower__class_Opower(v1, v2, all_1257_0) = v3) | % 236.65/38.24 | ~ (c_Groups_Oabs__class_Oabs(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) % 236.65/38.24 | | ~ class_Rings_Olinordered__idom(v1) | % 236.65/38.24 | (c_Power_Opower__class_Opower(v1, v0, all_1257_0) = v3 & $i(v3))) % 236.65/38.24 | % 236.65/38.24 | ALPHA: (588) implies: % 236.65/38.24 | (589) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1257_1) = % 236.65/38.24 | all_1257_0 % 236.65/38.24 | (590) c_Int_OBit0(all_1257_2) = all_1257_1 % 236.65/38.24 | (591) c_Int_OBit1(c_Int_OPls) = all_1257_2 % 236.65/38.24 | % 236.65/38.24 | DELTA: instantiating (120) with fresh symbol all_1260_0 gives: % 236.65/38.24 | (592) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1260_0 & % 236.65/38.24 | $i(all_1260_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = % 236.65/38.24 | all_1260_0 | ~ (c_Nat__Transfer_Otsub(v0, v1) = v2) | ~ $i(v1) | % 236.65/38.24 | ~ $i(v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0)) % 236.65/38.24 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.65/38.24 | (c_Groups_Ominus__class_Ominus(tc_Int_Oint, v0, v1) = v2) | ~ % 236.65/38.24 | $i(v1) | ~ $i(v0) | ~ % 236.65/38.24 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | % 236.65/38.24 | (c_Nat__Transfer_Otsub(v0, v1) = v2 & $i(v2))) % 236.65/38.24 | % 236.65/38.24 | ALPHA: (592) implies: % 236.65/38.24 | (593) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1260_0 % 236.65/38.24 | % 236.65/38.24 | DELTA: instantiating (144) with fresh symbols all_1263_0, all_1263_1, % 236.65/38.24 | all_1263_2 gives: % 236.65/38.24 | (594) c_Int_OBit1(c_Int_OPls) = all_1263_2 & c_Int_OBit0(all_1263_2) = % 236.65/38.24 | all_1263_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 236.65/38.24 | all_1263_1) = all_1263_0 & $i(all_1263_0) & $i(all_1263_1) & % 236.65/38.24 | $i(all_1263_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.65/38.24 | (c_Power_Opower__class_Opower(v1, v0, all_1263_0) = v2) | ~ $i(v1) % 236.65/38.24 | | ~ $i(v0) | ~ class_Rings_Olinordered__idom(v1) | ? [v3: $i] : % 236.65/38.24 | (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ~ % 236.65/38.24 | c_Orderings_Oord__class_Oless(v1, v2, v3))) % 236.65/38.24 | % 236.65/38.24 | ALPHA: (594) implies: % 236.65/38.24 | (595) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1263_1) = % 236.65/38.24 | all_1263_0 % 236.65/38.24 | (596) c_Int_OBit0(all_1263_2) = all_1263_1 % 236.65/38.24 | (597) c_Int_OBit1(c_Int_OPls) = all_1263_2 % 236.65/38.24 | % 236.65/38.24 | DELTA: instantiating (143) with fresh symbols all_1266_0, all_1266_1, % 236.65/38.24 | all_1266_2 gives: % 236.65/38.24 | (598) c_Int_OBit1(c_Int_OPls) = all_1266_2 & c_Int_OBit0(all_1266_2) = % 236.65/38.24 | all_1266_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 236.65/38.24 | all_1266_1) = all_1266_0 & $i(all_1266_0) & $i(all_1266_1) & % 236.65/38.24 | $i(all_1266_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.65/38.24 | (c_Power_Opower__class_Opower(v1, v0, all_1266_0) = v2) | ~ $i(v1) % 236.65/38.24 | | ~ $i(v0) | ~ class_Rings_Olinordered__idom(v1) | ? [v3: $i] : % 236.65/38.24 | (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & % 236.65/38.24 | c_Orderings_Oord__class_Oless__eq(v1, v3, v2))) % 236.65/38.24 | % 236.65/38.24 | ALPHA: (598) implies: % 236.65/38.25 | (599) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1266_1) = % 236.65/38.25 | all_1266_0 % 236.65/38.25 | (600) c_Int_OBit0(all_1266_2) = all_1266_1 % 236.65/38.25 | (601) c_Int_OBit1(c_Int_OPls) = all_1266_2 % 236.65/38.25 | % 236.65/38.25 | DELTA: instantiating (54) with fresh symbols all_1269_0, all_1269_1, % 236.65/38.25 | all_1269_2 gives: % 236.65/38.25 | (602) c_Int_OBit1(c_Int_OPls) = all_1269_2 & c_Int_OBit0(all_1269_2) = % 236.65/38.25 | all_1269_1 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, % 236.65/38.25 | all_1269_1) = all_1269_0 & $i(all_1269_0) & $i(all_1269_1) & % 236.65/38.25 | $i(all_1269_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.65/38.25 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~ % 236.65/38.25 | $i(v1) | ~ $i(v0) | ~ % 236.65/38.25 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) | ? [v3: % 236.65/38.25 | $i] : (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, % 236.65/38.25 | all_1269_0) = v3 & $i(v3) & % 236.65/38.25 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v3))) % 236.65/38.25 | % 236.65/38.25 | ALPHA: (602) implies: % 236.65/38.25 | (603) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1269_1) = % 236.65/38.25 | all_1269_0 % 236.65/38.25 | (604) c_Int_OBit0(all_1269_2) = all_1269_1 % 236.65/38.25 | (605) c_Int_OBit1(c_Int_OPls) = all_1269_2 % 236.65/38.25 | % 236.65/38.25 | DELTA: instantiating (42) with fresh symbol all_1272_0 gives: % 236.65/38.25 | (606) c_Int_OBit1(c_Int_OPls) = all_1272_0 & $i(all_1272_0) & ! [v0: $i] : % 236.65/38.25 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 236.65/38.25 | (c_Int_Onumber__class_Onumber__of(v1, v2) = v3) | ~ % 236.65/38.25 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_1272_0, v0) = v2) | % 236.65/38.25 | ~ $i(v1) | ~ $i(v0) | ~ class_Int_Onumber__ring(v1) | ? [v4: $i] % 236.65/38.25 | : ? [v5: $i] : (c_Int_Onumber__class_Onumber__of(v1, v0) = v5 & % 236.65/38.25 | c_Groups_Oone__class_Oone(v1) = v4 & % 236.65/38.25 | c_Groups_Oplus__class_Oplus(v1, v4, v5) = v3 & $i(v5) & $i(v4) & % 236.65/38.25 | $i(v3))) % 236.65/38.25 | % 236.65/38.25 | ALPHA: (606) implies: % 236.65/38.25 | (607) c_Int_OBit1(c_Int_OPls) = all_1272_0 % 236.65/38.25 | % 236.65/38.25 | DELTA: instantiating (53) with fresh symbols all_1275_0, all_1275_1, % 236.65/38.25 | all_1275_2 gives: % 236.65/38.25 | (608) c_Int_OBit1(c_Int_OPls) = all_1275_2 & c_Int_OBit0(all_1275_2) = % 236.65/38.25 | all_1275_1 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, % 236.65/38.25 | all_1275_1) = all_1275_0 & $i(all_1275_0) & $i(all_1275_1) & % 236.65/38.25 | $i(all_1275_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.65/38.25 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~ % 236.65/38.25 | $i(v1) | ~ $i(v0) | ~ % 236.65/38.25 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) | ? [v3: % 236.65/38.25 | $i] : (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, % 236.65/38.25 | all_1275_0) = v3 & $i(v3) & % 236.65/38.25 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0))) % 236.65/38.25 | % 236.65/38.25 | ALPHA: (608) implies: % 236.65/38.25 | (609) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1275_1) = % 236.65/38.25 | all_1275_0 % 236.65/38.25 | (610) c_Int_OBit0(all_1275_2) = all_1275_1 % 236.65/38.25 | (611) c_Int_OBit1(c_Int_OPls) = all_1275_2 % 236.65/38.25 | % 236.65/38.25 | DELTA: instantiating (200) with fresh symbols all_1278_0, all_1278_1, % 236.65/38.25 | all_1278_2, all_1278_3 gives: % 236.65/38.25 | (612) c_Int_OBit1(c_Int_OPls) = all_1278_2 & c_Int_OBit0(all_1278_2) = % 236.65/38.25 | all_1278_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 236.65/38.25 | all_1278_1) = all_1278_0 & % 236.65/38.25 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1278_3 & % 236.65/38.25 | $i(all_1278_0) & $i(all_1278_1) & $i(all_1278_2) & $i(all_1278_3) & % 236.65/38.25 | ! [v0: $i] : ! [v1: $i] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ $i(v0) % 236.65/38.25 | | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1278_3, % 236.65/38.25 | v0) | ? [v2: $i] : % 236.65/38.25 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v1, all_1278_0) = % 236.65/38.25 | v2 & $i(v2) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, % 236.65/38.25 | all_1278_3, v2))) % 236.65/38.25 | % 236.65/38.25 | ALPHA: (612) implies: % 236.65/38.25 | (613) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1278_1) = % 236.65/38.25 | all_1278_0 % 236.65/38.25 | (614) c_Int_OBit0(all_1278_2) = all_1278_1 % 236.65/38.25 | (615) c_Int_OBit1(c_Int_OPls) = all_1278_2 % 236.65/38.25 | % 236.65/38.25 | DELTA: instantiating (74) with fresh symbols all_1287_0, all_1287_1 gives: % 236.65/38.25 | (616) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1287_1 & % 236.65/38.25 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1287_0 & % 236.65/38.25 | $i(all_1287_0) & $i(all_1287_1) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 236.65/38.25 | $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | % 236.65/38.25 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_1287_1, v0) = v1) % 236.65/38.25 | | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, % 236.65/38.25 | all_1287_0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, % 236.65/38.25 | all_1287_0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.65/38.25 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~ % 236.65/38.25 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_1287_1, v0) = v1) | % 236.65/38.25 | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, % 236.65/38.25 | all_1287_0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, % 236.65/38.25 | all_1287_0)) % 236.65/38.25 | % 236.65/38.25 | ALPHA: (616) implies: % 236.65/38.25 | (617) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1287_0 % 236.65/38.25 | (618) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1287_1 % 236.65/38.25 | % 236.65/38.25 | DELTA: instantiating (176) with fresh symbol all_1295_0 gives: % 236.65/38.25 | (619) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1295_0 & % 236.65/38.25 | $i(all_1295_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.65/38.25 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v0, v1) = v2) | ~ $i(v1) % 236.65/38.25 | | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, % 236.65/38.25 | all_1295_0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, % 236.65/38.25 | all_1295_0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, % 236.65/38.25 | all_1295_0, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.65/38.25 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v0, v1) = v2) | ~ $i(v1) % 236.65/38.25 | | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, % 236.65/38.25 | all_1295_0, v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 236.65/38.25 | v1, all_1295_0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, % 236.65/38.25 | v0, all_1295_0)) % 236.65/38.25 | % 236.65/38.25 | ALPHA: (619) implies: % 236.65/38.25 | (620) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1295_0 % 236.65/38.25 | % 236.65/38.25 | DELTA: instantiating (204) with fresh symbols all_1298_0, all_1298_1, % 236.65/38.25 | all_1298_2 gives: % 236.65/38.25 | (621) c_Int_OBit1(c_Int_OPls) = all_1298_2 & c_Int_OBit0(all_1298_2) = % 236.65/38.25 | all_1298_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 236.65/38.25 | all_1298_1) = all_1298_0 & $i(all_1298_0) & $i(all_1298_1) & % 236.65/38.25 | $i(all_1298_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 236.65/38.25 | $i] : ! [v4: $i] : ( ~ % 236.65/38.25 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v1, all_1298_0) = % 236.65/38.25 | v2) | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v0, % 236.65/38.25 | all_1298_0) = v3) | ~ % 236.65/38.25 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v3) = v4) | ~ % 236.65/38.25 | $i(v1) | ~ $i(v0) | ? [v5: $i] : (c_NthRoot_Osqrt(v4) = v5 & % 236.65/38.25 | $i(v5) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, % 236.65/38.25 | v5))) % 236.65/38.25 | % 236.65/38.25 | ALPHA: (621) implies: % 236.65/38.25 | (622) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1298_1) = % 236.65/38.25 | all_1298_0 % 236.65/38.25 | (623) c_Int_OBit0(all_1298_2) = all_1298_1 % 236.65/38.25 | (624) c_Int_OBit1(c_Int_OPls) = all_1298_2 % 236.65/38.25 | % 236.65/38.25 | DELTA: instantiating (156) with fresh symbols all_1301_0, all_1301_1, % 236.65/38.25 | all_1301_2, all_1301_3 gives: % 236.65/38.25 | (625) c_Int_OBit1(c_Int_OPls) = all_1301_2 & c_Int_OBit0(all_1301_2) = % 236.65/38.25 | all_1301_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 236.65/38.25 | all_1301_1) = all_1301_0 & % 236.65/38.25 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1301_3 & % 236.65/38.25 | $i(all_1301_0) & $i(all_1301_1) & $i(all_1301_2) & $i(all_1301_3) & % 236.65/38.25 | ! [v0: $i] : ! [v1: $i] : ( ~ % 236.65/38.25 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v0, all_1301_0) = % 236.65/38.25 | v1) | ~ $i(v0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, % 236.65/38.25 | v1, all_1301_3) | ? [v2: $i] : % 236.65/38.25 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v0) = v2 & $i(v2) & ~ % 236.65/38.25 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, all_1301_3))) % 236.65/38.25 | % 236.65/38.25 | ALPHA: (625) implies: % 236.65/38.25 | (626) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1301_1) = % 236.65/38.25 | all_1301_0 % 236.65/38.25 | (627) c_Int_OBit0(all_1301_2) = all_1301_1 % 236.65/38.25 | (628) c_Int_OBit1(c_Int_OPls) = all_1301_2 % 236.65/38.25 | % 236.65/38.25 | DELTA: instantiating (155) with fresh symbols all_1307_0, all_1307_1, % 236.65/38.25 | all_1307_2, all_1307_3, all_1307_4 gives: % 236.65/38.25 | (629) c_Int_OBit1(c_Int_OPls) = all_1307_2 & c_Int_OBit0(all_1307_2) = % 236.65/38.25 | all_1307_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 236.65/38.25 | all_1307_1) = all_1307_0 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = % 236.65/38.25 | all_1307_4 & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1307_3 & % 236.65/38.25 | $i(all_1307_0) & $i(all_1307_1) & $i(all_1307_2) & $i(all_1307_3) & % 236.65/38.25 | $i(all_1307_4) & ! [v0: $i] : ! [v1: $i] : ( ~ % 236.65/38.25 | (c_Divides_Odiv__class_Odiv(tc_Nat_Onat, v0, all_1307_0) = v1) | ~ % 236.65/38.25 | $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1307_4, % 236.65/38.25 | v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1307_3, v1)) % 236.65/38.25 | % 236.65/38.25 | ALPHA: (629) implies: % 236.65/38.25 | (630) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1307_3 % 236.65/38.25 | (631) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1307_1) = % 236.65/38.25 | all_1307_0 % 236.65/38.25 | (632) c_Int_OBit0(all_1307_2) = all_1307_1 % 236.65/38.25 | (633) c_Int_OBit1(c_Int_OPls) = all_1307_2 % 236.65/38.25 | % 236.65/38.25 | DELTA: instantiating (199) with fresh symbols all_1310_0, all_1310_1, % 236.65/38.25 | all_1310_2, all_1310_3 gives: % 236.65/38.25 | (634) c_Int_OBit1(c_Int_OPls) = all_1310_3 & c_Int_OBit0(all_1310_3) = % 236.65/38.25 | all_1310_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 236.65/38.25 | all_1310_2) = all_1310_1 & % 236.65/38.25 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1310_0 & % 236.65/38.25 | $i(all_1310_0) & $i(all_1310_1) & $i(all_1310_2) & $i(all_1310_3) & % 236.65/38.25 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~ % 236.65/38.25 | (c_NthRoot_Osqrt(v0) = v2) | ~ % 236.65/38.25 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v1, all_1310_1) = % 236.65/38.25 | v0) | ~ $i(v1) | ~ $i(v0) | ~ % 236.65/38.25 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1310_0, % 236.65/38.25 | v1)) % 236.65/38.25 | % 236.65/38.25 | ALPHA: (634) implies: % 236.65/38.25 | (635) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1310_2) = % 236.65/38.25 | all_1310_1 % 236.65/38.25 | (636) c_Int_OBit0(all_1310_3) = all_1310_2 % 236.65/38.25 | (637) c_Int_OBit1(c_Int_OPls) = all_1310_3 % 236.65/38.25 | % 236.65/38.25 | DELTA: instantiating (168) with fresh symbol all_1313_0 gives: % 236.65/38.25 | (638) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1313_0 & % 236.65/38.25 | $i(all_1313_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.65/38.25 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v0, v1) = v2) | ~ $i(v1) % 236.65/38.25 | | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, % 236.65/38.25 | all_1313_0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 236.65/38.25 | all_1313_0, v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, % 236.65/38.25 | all_1313_0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.65/38.25 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v0, v1) = v2) | ~ $i(v1) % 236.65/38.25 | | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, % 236.65/38.25 | all_1313_0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 236.65/38.25 | all_1313_0, v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, % 236.65/38.25 | all_1313_0)) % 236.65/38.25 | % 236.65/38.25 | ALPHA: (638) implies: % 236.65/38.25 | (639) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1313_0 % 236.65/38.25 | % 236.65/38.25 | DELTA: instantiating (167) with fresh symbol all_1316_0 gives: % 236.65/38.25 | (640) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1316_0 & % 236.65/38.25 | $i(all_1316_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.65/38.25 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v0, v1) = v2) | ~ $i(v1) % 236.65/38.25 | | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, % 236.65/38.25 | all_1316_0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, % 236.65/38.25 | all_1316_0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, % 236.65/38.25 | all_1316_0, v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.65/38.25 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v0, v1) = v2) | ~ $i(v1) % 236.65/38.25 | | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, % 236.65/38.25 | all_1316_0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 236.65/38.25 | all_1316_0, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, % 236.65/38.25 | all_1316_0)) % 236.65/38.25 | % 236.65/38.25 | ALPHA: (640) implies: % 236.65/38.25 | (641) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1316_0 % 236.65/38.25 | % 236.65/38.25 | DELTA: instantiating (55) with fresh symbols all_1319_0, all_1319_1 gives: % 236.65/38.25 | (642) c_Int_OBit1(c_Int_OPls) = all_1319_1 & c_Int_OBit0(all_1319_1) = % 236.65/38.25 | all_1319_0 & $i(all_1319_0) & $i(all_1319_1) & ! [v0: $i] : ! [v1: % 236.65/38.25 | $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 236.65/38.25 | (c_Int_Onumber__class_Onumber__of(v1, all_1319_0) = v2) | ~ % 236.65/38.25 | (c_Rings_Oinverse__class_Odivide(v1, v0, v2) = v3) | ~ $i(v1) | ~ % 236.65/38.25 | $i(v0) | ~ class_Int_Onumber__ring(v1) | ~ % 236.65/38.25 | class_Fields_Olinordered__field__inverse__zero(v1) | ? [v4: $i] : % 236.65/38.25 | (c_Groups_Ozero__class_Ozero(v1) = v4 & $i(v4) & ( ~ % 236.65/38.25 | c_Orderings_Oord__class_Oless(v1, v4, v0) | % 236.65/38.25 | c_Orderings_Oord__class_Oless(v1, v4, v3)))) % 236.65/38.25 | % 236.65/38.25 | ALPHA: (642) implies: % 236.65/38.25 | (643) c_Int_OBit0(all_1319_1) = all_1319_0 % 236.65/38.25 | (644) c_Int_OBit1(c_Int_OPls) = all_1319_1 % 236.65/38.25 | % 236.65/38.25 | DELTA: instantiating (201) with fresh symbols all_1328_0, all_1328_1, % 236.65/38.25 | all_1328_2, all_1328_3, all_1328_4 gives: % 236.65/38.25 | (645) c_NthRoot_Osqrt(all_1328_1) = all_1328_0 & c_Int_OBit1(c_Int_OPls) = % 236.65/38.25 | all_1328_3 & c_Int_OBit0(all_1328_3) = all_1328_2 & % 236.65/38.25 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1328_2) = % 236.65/38.25 | all_1328_1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = % 236.65/38.25 | all_1328_4 & $i(all_1328_0) & $i(all_1328_1) & $i(all_1328_2) & % 236.65/38.25 | $i(all_1328_3) & $i(all_1328_4) & ! [v0: $i] : ! [v1: $i] : ( ~ % 236.65/38.25 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v0, all_1328_0) % 236.65/38.25 | = v1) | ~ $i(v0) | ~ % 236.65/38.25 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1328_4, v0) | % 236.65/38.25 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0)) % 236.65/38.25 | % 236.65/38.25 | ALPHA: (645) implies: % 236.65/38.25 | (646) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1328_2) = % 236.65/38.25 | all_1328_1 % 236.65/38.25 | (647) c_Int_OBit0(all_1328_3) = all_1328_2 % 236.65/38.25 | (648) c_Int_OBit1(c_Int_OPls) = all_1328_3 % 236.65/38.25 | % 236.65/38.25 | DELTA: instantiating (203) with fresh symbols all_1331_0, all_1331_1, % 236.65/38.25 | all_1331_2 gives: % 236.65/38.25 | (649) c_Int_OBit1(c_Int_OPls) = all_1331_2 & c_Int_OBit0(all_1331_2) = % 236.65/38.25 | all_1331_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 236.65/38.25 | all_1331_1) = all_1331_0 & $i(all_1331_0) & $i(all_1331_1) & % 236.65/38.25 | $i(all_1331_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 236.65/38.25 | $i] : ! [v4: $i] : ( ~ % 236.65/38.25 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v1, all_1331_0) = % 236.65/38.25 | v3) | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v0, % 236.65/38.25 | all_1331_0) = v2) | ~ % 236.65/38.25 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v3) = v4) | ~ % 236.65/38.25 | $i(v1) | ~ $i(v0) | ? [v5: $i] : (c_NthRoot_Osqrt(v4) = v5 & % 236.65/38.25 | $i(v5) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, % 236.65/38.25 | v5))) % 236.65/38.25 | % 236.65/38.25 | ALPHA: (649) implies: % 236.65/38.25 | (650) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1331_1) = % 236.65/38.25 | all_1331_0 % 236.65/38.25 | (651) c_Int_OBit0(all_1331_2) = all_1331_1 % 236.65/38.25 | (652) c_Int_OBit1(c_Int_OPls) = all_1331_2 % 236.65/38.25 | % 236.65/38.25 | DELTA: instantiating (170) with fresh symbol all_1334_0 gives: % 236.65/38.25 | (653) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1334_0 & % 236.65/38.25 | $i(all_1334_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.65/38.25 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v0, v1) = v2) | ~ $i(v1) % 236.65/38.25 | | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, % 236.65/38.25 | all_1334_0, v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 236.65/38.25 | all_1334_0, v1) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, % 236.65/38.25 | all_1334_0, v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.65/38.25 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v0, v1) = v2) | ~ $i(v1) % 236.65/38.25 | | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, % 236.65/38.25 | all_1334_0, v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 236.65/38.25 | all_1334_0, v1) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, % 236.65/38.25 | all_1334_0, v2)) % 236.65/38.25 | % 236.65/38.25 | ALPHA: (653) implies: % 236.65/38.25 | (654) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1334_0 % 236.65/38.25 | % 236.65/38.25 | DELTA: instantiating (171) with fresh symbol all_1337_0 gives: % 236.65/38.25 | (655) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1337_0 & % 236.65/38.25 | $i(all_1337_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.65/38.25 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v0, v1) = v2) | ~ $i(v1) % 236.65/38.25 | | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, % 236.65/38.25 | v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1337_0, % 236.65/38.25 | v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1337_0, v2)) % 236.65/38.25 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.65/38.25 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v0, v1) = v2) | ~ $i(v1) % 236.65/38.25 | | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 236.65/38.25 | all_1337_0, v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 236.65/38.25 | all_1337_0, v1) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, % 236.65/38.25 | v1, v0)) % 236.65/38.25 | % 236.65/38.25 | ALPHA: (655) implies: % 236.65/38.25 | (656) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1337_0 % 236.65/38.25 | % 236.65/38.25 | DELTA: instantiating (127) with fresh symbols all_1343_0, all_1343_1 gives: % 236.65/38.26 | (657) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1343_1 & % 236.65/38.26 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1343_0 & % 236.65/38.26 | $i(all_1343_0) & $i(all_1343_1) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 236.65/38.26 | $i] : ! [v3: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v0) = v2) | % 236.65/38.26 | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v2) = v3) % 236.65/38.26 | | ~ $i(v1) | ~ $i(v0) | ~ % 236.65/38.26 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1343_1, v1) % 236.65/38.26 | | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1343_0, v0) | % 236.65/38.26 | ? [v4: $i] : ? [v5: $i] : (c_Divides_Odiv__class_Odiv(tc_Nat_Onat, % 236.65/38.26 | v5, v0) = v4 & c_RComplete_Onatfloor(v3) = v4 & % 236.65/38.26 | c_RComplete_Onatfloor(v1) = v5 & $i(v5) & $i(v4))) % 236.65/38.26 | % 236.65/38.26 | ALPHA: (657) implies: % 236.65/38.26 | (658) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1343_0 % 236.65/38.26 | % 236.65/38.26 | DELTA: instantiating (39) with fresh symbol all_1346_0 gives: % 236.65/38.26 | (659) c_Int_OBit1(c_Int_OPls) = all_1346_0 & $i(all_1346_0) & ! [v0: $i] : % 236.65/38.26 | ! [v1: $i] : ! [v2: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, % 236.65/38.26 | v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~ % 236.65/38.26 | class_Int_Onumber__ring(v1) | ~ class_Rings_Olinordered__idom(v1) % 236.65/38.26 | | ? [v3: $i] : (( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, % 236.65/38.26 | all_1346_0) | (c_Groups_Oone__class_Oone(v1) = v3 & $i(v3) & % 236.65/38.26 | c_Orderings_Oord__class_Oless(v1, v2, v3))) & % 236.65/38.26 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_1346_0) | % 236.65/38.26 | (c_Groups_Oone__class_Oone(v1) = v3 & $i(v3) & ~ % 236.65/38.26 | c_Orderings_Oord__class_Oless(v1, v2, v3))))) % 236.65/38.26 | % 236.65/38.26 | ALPHA: (659) implies: % 236.65/38.26 | (660) c_Int_OBit1(c_Int_OPls) = all_1346_0 % 236.65/38.26 | % 236.65/38.26 | DELTA: instantiating (56) with fresh symbols all_1349_0, all_1349_1, % 236.65/38.26 | all_1349_2 gives: % 236.65/38.26 | (661) c_Int_OBit1(c_Int_OPls) = all_1349_2 & c_Int_OBit0(all_1349_2) = % 236.65/38.26 | all_1349_1 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, % 236.65/38.26 | all_1349_1) = all_1349_0 & $i(all_1349_0) & $i(all_1349_1) & % 236.65/38.26 | $i(all_1349_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 236.65/38.26 | $i] : ! [v4: $i] : ( ~ % 236.65/38.26 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, all_1349_0) % 236.65/38.26 | = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) % 236.65/38.26 | = v2) | ~ (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v3, % 236.65/38.26 | v0) = v4) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : % 236.65/38.26 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, all_1349_0) % 236.65/38.26 | = v4 & c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v1, v0) = % 236.65/38.26 | v5 & $i(v5) & $i(v4))) % 236.65/38.26 | % 236.65/38.26 | ALPHA: (661) implies: % 236.65/38.26 | (662) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1349_1) = % 236.65/38.26 | all_1349_0 % 236.65/38.26 | (663) c_Int_OBit0(all_1349_2) = all_1349_1 % 236.65/38.26 | (664) c_Int_OBit1(c_Int_OPls) = all_1349_2 % 236.65/38.26 | % 236.65/38.26 | DELTA: instantiating (57) with fresh symbols all_1352_0, all_1352_1, % 236.65/38.26 | all_1352_2 gives: % 236.65/38.26 | (665) c_Int_OBit1(c_Int_OPls) = all_1352_2 & c_Int_OBit0(all_1352_2) = % 236.65/38.26 | all_1352_1 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, % 236.65/38.26 | all_1352_1) = all_1352_0 & $i(all_1352_0) & $i(all_1352_1) & % 236.65/38.26 | $i(all_1352_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 236.65/38.26 | $i] : ! [v4: $i] : ( ~ % 236.65/38.26 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, all_1352_0) % 236.65/38.26 | = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) % 236.65/38.26 | = v2) | ~ (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v3, % 236.65/38.26 | v1) = v4) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : % 236.65/38.26 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, all_1352_0) % 236.65/38.26 | = v4 & c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v0, v1) = % 236.65/38.26 | v5 & $i(v5) & $i(v4))) % 236.65/38.26 | % 236.65/38.26 | ALPHA: (665) implies: % 236.65/38.26 | (666) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1352_1) = % 236.65/38.26 | all_1352_0 % 236.65/38.26 | (667) c_Int_OBit0(all_1352_2) = all_1352_1 % 236.65/38.26 | (668) c_Int_OBit1(c_Int_OPls) = all_1352_2 % 236.65/38.26 | % 236.65/38.26 | DELTA: instantiating (211) with fresh symbols all_1355_0, all_1355_1, % 236.65/38.26 | all_1355_2 gives: % 236.65/38.26 | (669) c_Int_OBit1(c_Int_OPls) = all_1355_2 & c_Int_OBit0(all_1355_2) = % 236.65/38.26 | all_1355_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 236.65/38.26 | all_1355_1) = all_1355_0 & $i(all_1355_0) & $i(all_1355_1) & % 236.65/38.26 | $i(all_1355_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 236.65/38.26 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~ % 236.65/38.26 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v3, all_1355_0) = % 236.65/38.26 | v4) | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v1, % 236.65/38.26 | all_1355_0) = v2) | ~ (c_Complex_ORe(v0) = v1) | ~ % 236.65/38.26 | (c_Complex_OIm(v0) = v3) | ~ % 236.65/38.26 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v4) = v5) | ~ % 236.65/38.26 | $i(v0) | ? [v6: $i] : (c_NthRoot_Osqrt(v5) = v6 & % 236.65/38.26 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v0) = v6 & % 236.65/38.26 | $i(v6))) % 236.65/38.26 | % 236.65/38.26 | ALPHA: (669) implies: % 236.65/38.26 | (670) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1355_1) = % 236.65/38.26 | all_1355_0 % 236.65/38.26 | (671) c_Int_OBit0(all_1355_2) = all_1355_1 % 236.65/38.26 | (672) c_Int_OBit1(c_Int_OPls) = all_1355_2 % 236.65/38.26 | % 236.65/38.26 | DELTA: instantiating (189) with fresh symbol all_1358_0 gives: % 236.65/38.26 | (673) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1358_0 & % 236.65/38.26 | $i(all_1358_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 236.65/38.26 | $i] : ! [v4: $i] : (v2 = v0 | ~ (c_Power_Opower__class_Opower(v3, % 236.65/38.26 | v2, v1) = v4) | ~ (c_Power_Opower__class_Opower(v3, v0, v1) = % 236.65/38.26 | v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 236.65/38.26 | class_Rings_Olinordered__semidom(v3) | ~ % 236.65/38.26 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1358_0, v1) | ? % 236.65/38.26 | [v5: $i] : (c_Groups_Ozero__class_Ozero(v3) = v5 & $i(v5) & ( ~ % 236.65/38.26 | c_Orderings_Oord__class_Oless__eq(v3, v5, v2) | ~ % 236.65/38.26 | c_Orderings_Oord__class_Oless__eq(v3, v5, v0)))) % 236.65/38.26 | % 236.65/38.26 | ALPHA: (673) implies: % 236.65/38.26 | (674) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1358_0 % 236.65/38.26 | % 236.65/38.26 | DELTA: instantiating (90) with fresh symbols all_1361_0, all_1361_1, % 236.65/38.26 | all_1361_2, all_1361_3, all_1361_4 gives: % 236.65/38.26 | (675) c_Int_OBit1(c_Int_OPls) = all_1361_3 & c_Int_OBit0(all_1361_3) = % 236.65/38.26 | all_1361_2 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, % 236.65/38.26 | all_1361_2) = all_1361_1 & c_Groups_Oone__class_Oone(tc_Int_Oint) = % 236.65/38.26 | all_1361_0 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1361_4 & % 236.65/38.26 | $i(all_1361_0) & $i(all_1361_1) & $i(all_1361_2) & $i(all_1361_3) & % 236.65/38.26 | $i(all_1361_4) & ! [v0: any] : (v0 = all_1361_0 | v0 = all_1361_4 | % 236.65/38.26 | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, % 236.65/38.26 | all_1361_4, v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 236.65/38.26 | v0, all_1361_1)) % 236.65/38.26 | % 236.65/38.26 | ALPHA: (675) implies: % 236.65/38.26 | (676) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1361_4 % 236.65/38.26 | (677) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1361_0 % 236.65/38.26 | (678) c_Int_Onumber__class_Onumber__of(tc_Int_Oint, all_1361_2) = % 236.65/38.26 | all_1361_1 % 236.65/38.26 | (679) c_Int_OBit0(all_1361_3) = all_1361_2 % 236.65/38.26 | (680) c_Int_OBit1(c_Int_OPls) = all_1361_3 % 236.65/38.26 | % 236.65/38.26 | DELTA: instantiating (46) with fresh symbol all_1367_0 gives: % 236.65/38.26 | (681) c_Int_OBit1(c_Int_OPls) = all_1367_0 & $i(all_1367_0) & ! [v0: $i] : % 236.65/38.26 | ! [v1: $i] : ! [v2: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, % 236.65/38.26 | v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~ % 236.65/38.26 | class_Int_Onumber__ring(v1) | ~ class_Rings_Olinordered__idom(v1) % 236.65/38.26 | | ? [v3: $i] : (( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, % 236.65/38.26 | all_1367_0, v0) | (c_Groups_Oone__class_Oone(v1) = v3 & % 236.65/38.26 | $i(v3) & c_Orderings_Oord__class_Oless__eq(v1, v3, v2))) & % 236.65/38.26 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1367_0, v0) | % 236.65/38.26 | (c_Groups_Oone__class_Oone(v1) = v3 & $i(v3) & ~ % 236.65/38.26 | c_Orderings_Oord__class_Oless__eq(v1, v3, v2))))) % 236.65/38.26 | % 236.65/38.26 | ALPHA: (681) implies: % 236.65/38.26 | (682) c_Int_OBit1(c_Int_OPls) = all_1367_0 % 236.65/38.26 | % 236.65/38.26 | DELTA: instantiating (161) with fresh symbol all_1370_0 gives: % 236.65/38.26 | (683) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1370_0 & % 236.65/38.26 | $i(all_1370_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 236.65/38.26 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~ % 236.65/38.26 | (c_Power_Opower__class_Opower(v3, v2, v0) = v4) | ~ % 236.65/38.26 | (c_Power_Opower__class_Opower(v3, v1, v0) = v5) | ~ $i(v3) | ~ % 236.65/38.26 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 236.65/38.26 | class_Rings_Olinordered__semidom(v3) | ~ % 236.65/38.26 | c_Orderings_Oord__class_Oless(v3, v2, v1) | ~ % 236.65/38.26 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1370_0, v0) | % 236.65/38.26 | c_Orderings_Oord__class_Oless(v3, v4, v5) | ? [v6: $i] : % 236.65/38.26 | (c_Groups_Ozero__class_Ozero(v3) = v6 & $i(v6) & ~ % 236.65/38.26 | c_Orderings_Oord__class_Oless__eq(v3, v6, v2))) % 236.65/38.26 | % 236.65/38.26 | ALPHA: (683) implies: % 236.65/38.26 | (684) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1370_0 % 236.65/38.26 | % 236.65/38.26 | DELTA: instantiating (38) with fresh symbol all_1373_0 gives: % 236.65/38.26 | (685) c_Int_OBit1(c_Int_OPls) = all_1373_0 & $i(all_1373_0) & ! [v0: $i] : % 236.65/38.26 | ! [v1: $i] : ! [v2: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, % 236.65/38.26 | v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~ % 236.65/38.26 | class_Int_Onumber__ring(v1) | ~ class_Rings_Olinordered__idom(v1) % 236.65/38.26 | | ? [v3: $i] : (( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 236.65/38.26 | all_1373_0, v0) | (c_Groups_Oone__class_Oone(v1) = v3 & % 236.65/38.26 | $i(v3) & c_Orderings_Oord__class_Oless(v1, v3, v2))) & % 236.65/38.26 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1373_0, v0) | % 236.65/38.26 | (c_Groups_Oone__class_Oone(v1) = v3 & $i(v3) & ~ % 236.65/38.26 | c_Orderings_Oord__class_Oless(v1, v3, v2))))) % 236.65/38.26 | % 236.65/38.26 | ALPHA: (685) implies: % 236.65/38.26 | (686) c_Int_OBit1(c_Int_OPls) = all_1373_0 % 236.65/38.26 | % 236.65/38.26 | DELTA: instantiating (45) with fresh symbol all_1376_0 gives: % 236.65/38.26 | (687) c_Int_OBit1(c_Int_OPls) = all_1376_0 & $i(all_1376_0) & ! [v0: $i] : % 236.65/38.26 | ! [v1: $i] : ! [v2: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, % 236.65/38.26 | v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~ % 236.65/38.26 | class_Int_Onumber__ring(v1) | ~ class_Rings_Olinordered__idom(v1) % 236.65/38.26 | | ? [v3: $i] : (( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, % 236.65/38.26 | v0, all_1376_0) | (c_Groups_Oone__class_Oone(v1) = v3 & % 236.65/38.26 | $i(v3) & c_Orderings_Oord__class_Oless__eq(v1, v2, v3))) & % 236.65/38.26 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, all_1376_0) | % 236.65/38.26 | (c_Groups_Oone__class_Oone(v1) = v3 & $i(v3) & ~ % 236.65/38.26 | c_Orderings_Oord__class_Oless__eq(v1, v2, v3))))) % 236.65/38.26 | % 236.65/38.26 | ALPHA: (687) implies: % 236.65/38.26 | (688) c_Int_OBit1(c_Int_OPls) = all_1376_0 % 236.65/38.26 | % 236.65/38.26 | DELTA: instantiating (93) with fresh symbol all_1379_0 gives: % 236.65/38.26 | (689) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1379_0 & % 236.65/38.26 | $i(all_1379_0) & ! [v0: $i] : ! [v1: $i] : ( ~ % 236.65/38.26 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v1) | ~ % 236.65/38.26 | $i(v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, % 236.65/38.26 | all_1379_0, v1) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? % 236.65/38.26 | [v5: $i] : (c_Int_OBit1(v0) = v4 & c_Int_OBit0(v0) = v2 & % 236.65/38.26 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v4) = v5 & % 236.65/38.26 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3 & $i(v5) & % 236.65/38.26 | $i(v4) & $i(v3) & $i(v2) & % 236.65/38.26 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1379_0, v5) & % 236.65/38.26 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1379_0, v3))) % 236.65/38.26 | % 236.65/38.26 | ALPHA: (689) implies: % 236.65/38.26 | (690) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1379_0 % 236.65/38.26 | % 236.65/38.26 | DELTA: instantiating (154) with fresh symbols all_1382_0, all_1382_1, % 236.65/38.26 | all_1382_2, all_1382_3, all_1382_4 gives: % 236.65/38.26 | (691) c_Int_OBit1(c_Int_OPls) = all_1382_2 & c_Int_OBit0(all_1382_2) = % 236.65/38.26 | all_1382_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 236.65/38.26 | all_1382_1) = all_1382_0 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = % 236.65/38.26 | all_1382_3 & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1382_4 & % 236.65/38.26 | $i(all_1382_0) & $i(all_1382_1) & $i(all_1382_2) & $i(all_1382_3) & % 236.65/38.26 | $i(all_1382_4) & ! [v0: $i] : ! [v1: $i] : ( ~ % 236.65/38.26 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, all_1382_3) = v1) | % 236.65/38.26 | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, % 236.65/38.26 | all_1382_4, v0) | ? [v2: $i] : % 236.65/38.26 | (c_Divides_Odiv__class_Odiv(tc_Nat_Onat, v1, all_1382_0) = v2 & % 236.65/38.26 | $i(v2) & c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1382_4, % 236.65/38.26 | v2))) % 236.65/38.26 | % 236.65/38.26 | ALPHA: (691) implies: % 236.65/38.26 | (692) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1382_4 % 236.65/38.26 | (693) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1382_1) = % 236.65/38.26 | all_1382_0 % 236.65/38.26 | (694) c_Int_OBit0(all_1382_2) = all_1382_1 % 236.65/38.26 | (695) c_Int_OBit1(c_Int_OPls) = all_1382_2 % 236.65/38.26 | % 236.65/38.26 | DELTA: instantiating (60) with fresh symbols all_1385_0, all_1385_1 gives: % 236.65/38.26 | (696) c_Int_OBit1(c_Int_OPls) = all_1385_1 & c_Int_OBit0(all_1385_1) = % 236.65/38.26 | all_1385_0 & $i(all_1385_0) & $i(all_1385_1) & ! [v0: $i] : ! [v1: % 236.65/38.26 | $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 236.65/38.26 | (c_Int_Onumber__class_Onumber__of(v1, all_1385_0) = v2) | ~ % 236.65/38.26 | (c_Rings_Oinverse__class_Odivide(v1, v0, v2) = v3) | ~ $i(v1) | ~ % 236.65/38.26 | $i(v0) | ~ class_Int_Onumber__ring(v1) | ~ % 236.65/38.26 | class_Fields_Olinordered__field__inverse__zero(v1) | ? [v4: $i] : % 236.65/38.26 | (c_Groups_Ozero__class_Ozero(v1) = v4 & $i(v4) & ( ~ % 236.65/38.26 | c_Orderings_Oord__class_Oless(v1, v4, v3) | % 236.65/38.26 | c_Orderings_Oord__class_Oless(v1, v4, v0)) & ( ~ % 236.65/38.26 | c_Orderings_Oord__class_Oless(v1, v4, v0) | % 236.65/38.26 | c_Orderings_Oord__class_Oless(v1, v4, v3)))) % 236.65/38.26 | % 236.65/38.26 | ALPHA: (696) implies: % 236.65/38.26 | (697) c_Int_OBit0(all_1385_1) = all_1385_0 % 236.65/38.26 | (698) c_Int_OBit1(c_Int_OPls) = all_1385_1 % 236.65/38.26 | % 236.65/38.26 | DELTA: instantiating (136) with fresh symbols all_1388_0, all_1388_1, % 236.65/38.26 | all_1388_2 gives: % 236.65/38.26 | (699) c_Int_OBit1(c_Int_OPls) = all_1388_2 & c_Int_OBit0(all_1388_2) = % 236.65/38.26 | all_1388_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 236.65/38.26 | all_1388_1) = all_1388_0 & $i(all_1388_0) & $i(all_1388_1) & % 236.65/38.26 | $i(all_1388_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.65/38.26 | (c_Power_Opower__class_Opower(v1, v0, all_1388_0) = v2) | ~ $i(v1) % 236.65/38.26 | | ~ $i(v0) | ~ class_Rings_Oring__1__no__zero__divisors(v1) | ? % 236.65/38.26 | [v3: $i] : (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~ (v3 % 236.65/38.26 | = v2) | v2 = v0) & ( ~ (v3 = v0) | v2 = v0))) % 236.65/38.26 | % 236.65/38.26 | ALPHA: (699) implies: % 236.65/38.26 | (700) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1388_1) = % 236.65/38.26 | all_1388_0 % 236.65/38.26 | (701) c_Int_OBit0(all_1388_2) = all_1388_1 % 236.65/38.26 | (702) c_Int_OBit1(c_Int_OPls) = all_1388_2 % 236.65/38.26 | % 236.65/38.26 | DELTA: instantiating (145) with fresh symbols all_1391_0, all_1391_1, % 236.65/38.26 | all_1391_2 gives: % 236.65/38.26 | (703) c_Int_OBit1(c_Int_OPls) = all_1391_2 & c_Int_OBit0(all_1391_2) = % 236.65/38.26 | all_1391_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 236.65/38.26 | all_1391_1) = all_1391_0 & $i(all_1391_0) & $i(all_1391_1) & % 236.65/38.26 | $i(all_1391_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.65/38.26 | (c_Power_Opower__class_Opower(v1, v0, all_1391_0) = v2) | ~ $i(v1) % 236.65/38.26 | | ~ $i(v0) | ~ class_Rings_Olinordered__idom(v1) | ? [v3: $i] : % 236.65/38.26 | (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~ (v3 = v0) | ~ % 236.65/38.26 | c_Orderings_Oord__class_Oless(v1, v0, v2)) & (v3 = v0 | % 236.65/38.26 | c_Orderings_Oord__class_Oless(v1, v3, v2)))) % 236.65/38.26 | % 236.65/38.26 | ALPHA: (703) implies: % 236.65/38.26 | (704) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1391_1) = % 236.65/38.26 | all_1391_0 % 236.65/38.26 | (705) c_Int_OBit0(all_1391_2) = all_1391_1 % 236.65/38.26 | (706) c_Int_OBit1(c_Int_OPls) = all_1391_2 % 236.65/38.26 | % 236.65/38.26 | DELTA: instantiating (220) with fresh symbols all_1394_0, all_1394_1, % 236.65/38.26 | all_1394_2 gives: % 236.65/38.26 | (707) c_Int_OBit1(c_Int_OPls) = all_1394_2 & c_Int_OBit0(all_1394_2) = % 236.65/38.26 | all_1394_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 236.65/38.26 | all_1394_1) = all_1394_0 & $i(all_1394_0) & $i(all_1394_1) & % 236.65/38.26 | $i(all_1394_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 236.65/38.26 | $i] : ! [v4: $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_Nat_Onat, % 236.65/38.26 | all_1394_0, v0) = v3) | ~ (c_Power_Opower__class_Opower(v2, % 236.65/38.26 | v1, v3) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 236.65/38.26 | class_Rings_Ocomm__semiring__1(v2) | ? [v5: $i] : % 236.65/38.26 | (c_Groups_Otimes__class_Otimes(v2, v5, v5) = v4 & % 236.65/38.26 | c_Power_Opower__class_Opower(v2, v1, v0) = v5 & $i(v5) & $i(v4))) % 236.65/38.26 | % 236.65/38.26 | ALPHA: (707) implies: % 236.65/38.26 | (708) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1394_1) = % 236.65/38.26 | all_1394_0 % 236.65/38.26 | (709) c_Int_OBit0(all_1394_2) = all_1394_1 % 236.65/38.26 | (710) c_Int_OBit1(c_Int_OPls) = all_1394_2 % 236.65/38.26 | % 236.65/38.26 | DELTA: instantiating (186) with fresh symbol all_1397_0 gives: % 236.65/38.27 | (711) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1397_0 & % 236.65/38.27 | $i(all_1397_0) & ! [v0: any] : ! [v1: $i] : ! [v2: $i] : (v0 = % 236.65/38.27 | all_1397_0 | ~ (c_Power_Opower__class_Opower(tc_Nat_Onat, v1, v0) % 236.65/38.27 | = v2) | ~ $i(v1) | ~ $i(v0) | ~ % 236.65/38.27 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1397_0, v2) | % 236.65/38.27 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1397_0, v1)) & ! % 236.65/38.27 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.65/38.27 | (c_Power_Opower__class_Opower(tc_Nat_Onat, v1, v0) = v2) | ~ % 236.65/38.27 | $i(v1) | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, % 236.65/38.27 | all_1397_0, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, % 236.65/38.27 | all_1397_0, v2)) & ! [v0: $i] : ! [v1: $i] : ( ~ % 236.65/38.27 | (c_Power_Opower__class_Opower(tc_Nat_Onat, v0, all_1397_0) = v1) | % 236.65/38.27 | ~ $i(v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1397_0, % 236.65/38.27 | v1)) % 236.65/38.27 | % 236.65/38.27 | ALPHA: (711) implies: % 236.65/38.27 | (712) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1397_0 % 236.65/38.27 | % 236.65/38.27 | DELTA: instantiating (210) with fresh symbols all_1400_0, all_1400_1, % 236.65/38.27 | all_1400_2 gives: % 236.65/38.27 | (713) c_Int_OBit1(c_Int_OPls) = all_1400_2 & c_Int_OBit0(all_1400_2) = % 236.65/38.27 | all_1400_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 236.65/38.27 | all_1400_1) = all_1400_0 & $i(all_1400_0) & $i(all_1400_1) & % 236.65/38.27 | $i(all_1400_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 236.65/38.27 | $i] : ! [v4: $i] : ( ~ % 236.65/38.27 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v1, all_1400_0) = % 236.65/38.27 | v2) | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v0, % 236.65/38.27 | all_1400_0) = v3) | ~ % 236.65/38.27 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v3) = v4) | ~ % 236.65/38.27 | $i(v1) | ~ $i(v0) | ? [v5: $i] : ? [v6: $i] : % 236.65/38.27 | (c_NthRoot_Osqrt(v4) = v6 & c_Complex_Ocomplex_OComplex(v1, v0) = % 236.65/38.27 | v5 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = % 236.65/38.27 | v6 & $i(v6) & $i(v5))) % 236.65/38.27 | % 236.65/38.27 | ALPHA: (713) implies: % 236.65/38.27 | (714) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1400_1) = % 236.65/38.27 | all_1400_0 % 236.65/38.27 | (715) c_Int_OBit0(all_1400_2) = all_1400_1 % 236.65/38.27 | (716) c_Int_OBit1(c_Int_OPls) = all_1400_2 % 236.65/38.27 | % 236.65/38.27 | DELTA: instantiating (71) with fresh symbol all_1406_0 gives: % 236.65/38.27 | (717) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1406_0 & $i(all_1406_0) % 236.65/38.27 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 236.65/38.27 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_1406_0) = v2) | % 236.65/38.27 | ~ $i(v1) | ~ $i(v0) | ~ % 236.65/38.27 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2) | % 236.65/38.27 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0)) & ! [v0: $i] : % 236.65/38.27 | ! [v1: $i] : ! [v2: $i] : ( ~ % 236.65/38.27 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_1406_0) = v2) | % 236.65/38.27 | ~ $i(v1) | ~ $i(v0) | ~ % 236.65/38.27 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | % 236.65/38.27 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2)) & ! [v0: $i] : % 236.65/38.27 | ! [v1: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, % 236.65/38.27 | all_1406_0) = v1) | ~ $i(v0) | % 236.65/38.27 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1)) % 236.65/38.27 | % 236.65/38.27 | ALPHA: (717) implies: % 236.65/38.27 | (718) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1406_0 % 236.65/38.27 | % 236.65/38.27 | DELTA: instantiating (186) with fresh symbol all_1412_0 gives: % 236.65/38.27 | (719) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1412_0 & % 236.65/38.27 | $i(all_1412_0) & ! [v0: any] : ! [v1: $i] : ! [v2: $i] : (v0 = % 236.65/38.27 | all_1412_0 | ~ (c_Power_Opower__class_Opower(tc_Nat_Onat, v1, v0) % 236.65/38.27 | = v2) | ~ $i(v1) | ~ $i(v0) | ~ % 236.65/38.27 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1412_0, v2) | % 236.65/38.27 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1412_0, v1)) & ! % 236.65/38.27 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.65/38.27 | (c_Power_Opower__class_Opower(tc_Nat_Onat, v1, v0) = v2) | ~ % 236.65/38.27 | $i(v1) | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, % 236.65/38.27 | all_1412_0, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, % 236.65/38.27 | all_1412_0, v2)) & ! [v0: $i] : ! [v1: $i] : ( ~ % 236.65/38.27 | (c_Power_Opower__class_Opower(tc_Nat_Onat, v0, all_1412_0) = v1) | % 236.65/38.27 | ~ $i(v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1412_0, % 236.65/38.27 | v1)) % 236.65/38.27 | % 236.65/38.27 | ALPHA: (719) implies: % 236.65/38.27 | (720) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1412_0 % 236.65/38.27 | % 236.65/38.27 | DELTA: instantiating (207) with fresh symbols all_1415_0, all_1415_1, % 236.65/38.27 | all_1415_2, all_1415_3 gives: % 236.65/38.27 | (721) c_Int_OBit1(c_Int_OPls) = all_1415_2 & c_Int_OBit0(all_1415_2) = % 236.65/38.27 | all_1415_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 236.65/38.27 | all_1415_1) = all_1415_0 & % 236.65/38.27 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1415_3 & % 236.65/38.27 | $i(all_1415_0) & $i(all_1415_1) & $i(all_1415_2) & $i(all_1415_3) & % 236.65/38.27 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 236.65/38.27 | ( ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v1, all_1415_0) = % 236.65/38.27 | v2) | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v0, % 236.65/38.27 | all_1415_0) = v3) | ~ % 236.65/38.27 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v3) = v4) | ~ % 236.65/38.27 | $i(v1) | ~ $i(v0) | ? [v5: $i] : (c_NthRoot_Osqrt(v4) = v5 & % 236.65/38.27 | $i(v5) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, % 236.65/38.27 | all_1415_3, v5))) % 236.65/38.27 | % 236.65/38.27 | ALPHA: (721) implies: % 236.65/38.27 | (722) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1415_1) = % 236.65/38.27 | all_1415_0 % 236.65/38.27 | (723) c_Int_OBit0(all_1415_2) = all_1415_1 % 236.65/38.27 | (724) c_Int_OBit1(c_Int_OPls) = all_1415_2 % 236.65/38.27 | % 236.65/38.27 | DELTA: instantiating (151) with fresh symbols all_1418_0, all_1418_1, % 236.65/38.27 | all_1418_2 gives: % 236.65/38.27 | (725) c_Int_OBit1(c_Int_OPls) = all_1418_2 & c_Int_OBit0(all_1418_2) = % 236.65/38.27 | all_1418_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 236.65/38.27 | all_1418_1) = all_1418_0 & $i(all_1418_0) & $i(all_1418_1) & % 236.65/38.27 | $i(all_1418_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 236.65/38.27 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~ % 236.65/38.27 | (c_Power_Opower__class_Opower(v2, v1, all_1418_0) = v3) | ~ % 236.65/38.27 | (c_Power_Opower__class_Opower(v2, v0, all_1418_0) = v4) | ~ % 236.65/38.27 | (c_Groups_Oplus__class_Oplus(v2, v3, v4) = v5) | ~ $i(v2) | ~ % 236.65/38.27 | $i(v1) | ~ $i(v0) | ~ class_Rings_Olinordered__idom(v2) | ? [v6: % 236.65/38.27 | $i] : (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & % 236.65/38.27 | c_Orderings_Oord__class_Oless__eq(v2, v6, v5))) % 236.65/38.27 | % 236.65/38.27 | ALPHA: (725) implies: % 236.65/38.27 | (726) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1418_1) = % 236.65/38.27 | all_1418_0 % 236.65/38.27 | (727) c_Int_OBit0(all_1418_2) = all_1418_1 % 236.65/38.27 | (728) c_Int_OBit1(c_Int_OPls) = all_1418_2 % 236.65/38.27 | % 236.65/38.27 | DELTA: instantiating (106) with fresh symbols all_1421_0, all_1421_1 gives: % 236.65/38.27 | (729) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1421_1 & % 236.65/38.27 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1421_0 & % 236.65/38.27 | $i(all_1421_0) & $i(all_1421_1) & ! [v0: $i] : ! [v1: $i] : ( ~ % 236.65/38.27 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v1) | ~ % 236.65/38.27 | $i(v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, % 236.65/38.27 | c_Int_OPls) | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, % 236.65/38.27 | all_1421_1) = all_1421_0) & ! [v0: $i] : ! [v1: $i] : ( ~ % 236.65/38.27 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v1) | ~ % 236.65/38.27 | $i(v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, % 236.65/38.27 | c_Int_OPls) | ? [v2: $i] : ? [v3: $i] : (c_Int_Opred(v0) = v3 & % 236.65/38.27 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v3) = v2 & % 236.65/38.27 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, all_1421_1) = v2 & % 236.65/38.27 | $i(v3) & $i(v2))) % 236.65/38.27 | % 236.65/38.27 | ALPHA: (729) implies: % 236.65/38.27 | (730) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1421_0 % 236.65/38.27 | % 236.65/38.27 | DELTA: instantiating (153) with fresh symbols all_1424_0, all_1424_1, % 236.65/38.27 | all_1424_2 gives: % 236.65/38.27 | (731) c_Int_OBit1(c_Int_OPls) = all_1424_2 & c_Int_OBit0(all_1424_2) = % 236.65/38.27 | all_1424_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 236.65/38.27 | all_1424_1) = all_1424_0 & $i(all_1424_0) & $i(all_1424_1) & % 236.65/38.27 | $i(all_1424_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 236.65/38.27 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~ % 236.65/38.27 | (c_Power_Opower__class_Opower(v2, v1, all_1424_0) = v3) | ~ % 236.65/38.27 | (c_Power_Opower__class_Opower(v2, v0, all_1424_0) = v4) | ~ % 236.65/38.27 | (c_Groups_Oplus__class_Oplus(v2, v3, v4) = v5) | ~ $i(v2) | ~ % 236.65/38.27 | $i(v1) | ~ $i(v0) | ~ class_Rings_Olinordered__idom(v2) | ? [v6: % 236.65/38.27 | $i] : (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ~ % 236.65/38.27 | c_Orderings_Oord__class_Oless(v2, v5, v6))) % 236.65/38.27 | % 236.65/38.27 | ALPHA: (731) implies: % 236.65/38.27 | (732) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1424_1) = % 236.65/38.27 | all_1424_0 % 236.65/38.27 | (733) c_Int_OBit0(all_1424_2) = all_1424_1 % 236.65/38.27 | (734) c_Int_OBit1(c_Int_OPls) = all_1424_2 % 236.65/38.27 | % 236.65/38.27 | DELTA: instantiating (208) with fresh symbols all_1427_0, all_1427_1, % 236.65/38.27 | all_1427_2 gives: % 236.65/38.27 | (735) c_Int_OBit1(c_Int_OPls) = all_1427_2 & c_Int_OBit0(all_1427_2) = % 236.65/38.27 | all_1427_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 236.65/38.27 | all_1427_1) = all_1427_0 & $i(all_1427_0) & $i(all_1427_1) & % 236.65/38.27 | $i(all_1427_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 236.65/38.27 | $i] : ! [v4: $i] : ( ~ % 236.65/38.27 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v1, all_1427_0) = % 236.65/38.27 | v2) | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v0, % 236.65/38.27 | all_1427_0) = v3) | ~ % 236.65/38.27 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v3) = v4) | ~ % 236.65/38.27 | $i(v1) | ~ $i(v0) | ? [v5: $i] : ? [v6: $i] : % 236.65/38.27 | (c_NthRoot_Osqrt(v4) = v6 & % 236.65/38.27 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1) = v5 & $i(v6) & % 236.65/38.27 | $i(v5) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, % 236.65/38.27 | v6))) % 236.65/38.27 | % 236.65/38.27 | ALPHA: (735) implies: % 236.65/38.27 | (736) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1427_1) = % 236.65/38.27 | all_1427_0 % 236.65/38.27 | (737) c_Int_OBit0(all_1427_2) = all_1427_1 % 236.65/38.27 | (738) c_Int_OBit1(c_Int_OPls) = all_1427_2 % 236.65/38.27 | % 236.65/38.27 | DELTA: instantiating (209) with fresh symbols all_1430_0, all_1430_1, % 236.65/38.27 | all_1430_2 gives: % 236.65/38.27 | (739) c_Int_OBit1(c_Int_OPls) = all_1430_2 & c_Int_OBit0(all_1430_2) = % 236.65/38.27 | all_1430_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 236.65/38.27 | all_1430_1) = all_1430_0 & $i(all_1430_0) & $i(all_1430_1) & % 236.65/38.27 | $i(all_1430_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 236.65/38.27 | $i] : ! [v4: $i] : ( ~ % 236.65/38.27 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v1, all_1430_0) = % 236.65/38.27 | v3) | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v0, % 236.65/38.27 | all_1430_0) = v2) | ~ % 236.65/38.27 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v3) = v4) | ~ % 236.65/38.27 | $i(v1) | ~ $i(v0) | ? [v5: $i] : ? [v6: $i] : % 236.65/38.27 | (c_NthRoot_Osqrt(v4) = v6 & % 236.65/38.27 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1) = v5 & $i(v6) & % 236.65/38.27 | $i(v5) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, % 236.65/38.27 | v6))) % 236.65/38.27 | % 236.65/38.27 | ALPHA: (739) implies: % 236.65/38.27 | (740) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1430_1) = % 236.65/38.27 | all_1430_0 % 236.65/38.27 | (741) c_Int_OBit0(all_1430_2) = all_1430_1 % 236.65/38.27 | (742) c_Int_OBit1(c_Int_OPls) = all_1430_2 % 236.65/38.27 | % 236.65/38.27 | DELTA: instantiating (150) with fresh symbols all_1442_0, all_1442_1, % 236.65/38.27 | all_1442_2 gives: % 236.65/38.27 | (743) c_Int_OBit1(c_Int_OPls) = all_1442_2 & c_Int_OBit0(all_1442_2) = % 236.65/38.27 | all_1442_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 236.65/38.27 | all_1442_1) = all_1442_0 & $i(all_1442_0) & $i(all_1442_1) & % 236.65/38.27 | $i(all_1442_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 236.65/38.27 | $i] : ! [v4: $i] : ( ~ (c_Power_Opower__class_Opower(v2, v1, % 236.65/38.27 | all_1442_0) = v3) | ~ (c_Power_Opower__class_Opower(v2, v0, % 236.65/38.27 | all_1442_0) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 236.65/38.27 | class_Rings_Olinordered__semidom(v2) | ~ % 236.65/38.27 | c_Orderings_Oord__class_Oless(v2, v3, v4) | % 236.65/38.27 | c_Orderings_Oord__class_Oless(v2, v1, v0) | ? [v5: $i] : % 236.65/38.27 | (c_Groups_Ozero__class_Ozero(v2) = v5 & $i(v5) & ~ % 236.65/38.27 | c_Orderings_Oord__class_Oless__eq(v2, v5, v0))) % 236.65/38.27 | % 236.65/38.27 | ALPHA: (743) implies: % 236.65/38.27 | (744) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1442_1) = % 236.65/38.27 | all_1442_0 % 236.65/38.27 | (745) c_Int_OBit0(all_1442_2) = all_1442_1 % 236.65/38.27 | (746) c_Int_OBit1(c_Int_OPls) = all_1442_2 % 236.65/38.27 | % 236.65/38.27 | DELTA: instantiating (142) with fresh symbols all_1445_0, all_1445_1, % 236.65/38.27 | all_1445_2 gives: % 236.65/38.27 | (747) c_Int_OBit1(c_Int_OPls) = all_1445_2 & c_Int_OBit0(all_1445_2) = % 236.65/38.27 | all_1445_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 236.65/38.27 | all_1445_1) = all_1445_0 & $i(all_1445_0) & $i(all_1445_1) & % 236.65/38.27 | $i(all_1445_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 236.65/38.27 | $i] : ! [v4: $i] : ( ~ (c_Power_Opower__class_Opower(v2, v1, % 236.65/38.27 | all_1445_0) = v3) | ~ (c_Power_Opower__class_Opower(v2, v0, % 236.65/38.27 | all_1445_0) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 236.65/38.27 | class_Rings_Olinordered__semidom(v2) | ~ % 236.65/38.27 | c_Orderings_Oord__class_Oless__eq(v2, v3, v4) | % 236.65/38.27 | c_Orderings_Oord__class_Oless__eq(v2, v1, v0) | ? [v5: $i] : % 236.65/38.27 | (c_Groups_Ozero__class_Ozero(v2) = v5 & $i(v5) & ~ % 236.65/38.27 | c_Orderings_Oord__class_Oless__eq(v2, v5, v0))) % 236.65/38.27 | % 236.65/38.27 | ALPHA: (747) implies: % 236.65/38.27 | (748) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1445_1) = % 236.65/38.27 | all_1445_0 % 236.65/38.27 | (749) c_Int_OBit0(all_1445_2) = all_1445_1 % 236.65/38.27 | (750) c_Int_OBit1(c_Int_OPls) = all_1445_2 % 236.65/38.27 | % 236.65/38.27 | DELTA: instantiating (206) with fresh symbols all_1451_0, all_1451_1, % 236.65/38.27 | all_1451_2, all_1451_3 gives: % 236.65/38.27 | (751) c_Int_OBit1(c_Int_OPls) = all_1451_3 & c_Int_OBit0(all_1451_3) = % 236.65/38.27 | all_1451_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 236.65/38.27 | all_1451_2) = all_1451_1 & % 236.65/38.27 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1451_0 & % 236.65/38.27 | $i(all_1451_0) & $i(all_1451_1) & $i(all_1451_2) & $i(all_1451_3) & % 236.65/38.27 | ! [v0: any] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 236.65/38.27 | (v0 = all_1451_0 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, % 236.65/38.27 | v1, all_1451_1) = v2) | ~ % 236.65/38.27 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v0, all_1451_1) = % 236.65/38.27 | v3) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v3) = % 236.65/38.27 | v4) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : ( ~ (v5 = v1) & % 236.65/38.27 | c_NthRoot_Osqrt(v4) = v5 & $i(v5))) % 236.65/38.27 | % 236.65/38.27 | ALPHA: (751) implies: % 236.65/38.27 | (752) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1451_2) = % 236.65/38.27 | all_1451_1 % 236.65/38.27 | (753) c_Int_OBit0(all_1451_3) = all_1451_2 % 236.65/38.27 | (754) c_Int_OBit1(c_Int_OPls) = all_1451_3 % 236.65/38.27 | % 236.65/38.27 | DELTA: instantiating (141) with fresh symbols all_1454_0, all_1454_1, % 236.65/38.27 | all_1454_2 gives: % 236.65/38.27 | (755) c_Int_OBit1(c_Int_OPls) = all_1454_2 & c_Int_OBit0(all_1454_2) = % 236.65/38.27 | all_1454_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 236.65/38.27 | all_1454_1) = all_1454_0 & $i(all_1454_0) & $i(all_1454_1) & % 236.65/38.27 | $i(all_1454_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 236.65/38.27 | $i] : (v1 = v0 | ~ (c_Power_Opower__class_Opower(v2, v1, % 236.65/38.27 | all_1454_0) = v3) | ~ (c_Power_Opower__class_Opower(v2, v0, % 236.65/38.27 | all_1454_0) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 236.65/38.27 | class_Rings_Olinordered__semidom(v2) | ? [v4: $i] : % 236.65/38.27 | (c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4) & ( ~ % 236.65/38.27 | c_Orderings_Oord__class_Oless__eq(v2, v4, v1) | ~ % 236.65/38.27 | c_Orderings_Oord__class_Oless__eq(v2, v4, v0)))) % 236.65/38.27 | % 236.65/38.27 | ALPHA: (755) implies: % 236.65/38.27 | (756) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1454_1) = % 236.65/38.27 | all_1454_0 % 236.65/38.27 | (757) c_Int_OBit0(all_1454_2) = all_1454_1 % 236.65/38.27 | (758) c_Int_OBit1(c_Int_OPls) = all_1454_2 % 236.65/38.27 | % 236.65/38.27 | DELTA: instantiating (109) with fresh symbol all_1457_0 gives: % 236.65/38.27 | (759) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1457_0 & % 236.65/38.27 | $i(all_1457_0) & ! [v0: $i] : ! [v1: int] : (v1 = all_1457_0 | ~ % 236.65/38.27 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v1) | ~ % 236.65/38.27 | $i(v0) | ? [v2: $i] : ? [v3: $i] : (c_Int_Opred(v0) = v2 & % 236.65/38.27 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3 & $i(v3) & % 236.65/38.27 | $i(v2) & ~ c_Nat__Numeral_Oneg(v3))) & ! [v0: $i] : ( ~ % 236.65/38.27 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = all_1457_0) | % 236.65/38.27 | ~ $i(v0) | ? [v1: $i] : ? [v2: $i] : (c_Int_Opred(v0) = v1 & % 236.65/38.27 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v2 & $i(v2) & % 236.65/38.27 | $i(v1) & c_Nat__Numeral_Oneg(v2))) % 236.65/38.27 | % 236.65/38.27 | ALPHA: (759) implies: % 236.65/38.27 | (760) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1457_0 % 236.65/38.27 | % 236.65/38.27 | DELTA: instantiating (205) with fresh symbols all_1460_0, all_1460_1, % 236.65/38.27 | all_1460_2, all_1460_3 gives: % 236.65/38.27 | (761) c_Int_OBit1(c_Int_OPls) = all_1460_3 & c_Int_OBit0(all_1460_3) = % 236.65/38.27 | all_1460_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 236.65/38.27 | all_1460_2) = all_1460_1 & % 236.65/38.27 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1460_0 & % 236.65/38.27 | $i(all_1460_0) & $i(all_1460_1) & $i(all_1460_2) & $i(all_1460_3) & % 236.65/38.27 | ! [v0: $i] : ! [v1: any] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 236.65/38.27 | (v1 = all_1460_0 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, % 236.65/38.27 | v1, all_1460_1) = v2) | ~ % 236.65/38.27 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v0, all_1460_1) = % 236.65/38.27 | v3) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v3) = % 236.65/38.27 | v4) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : ( ~ (v5 = v0) & % 236.65/38.27 | c_NthRoot_Osqrt(v4) = v5 & $i(v5))) % 236.65/38.27 | % 236.65/38.27 | ALPHA: (761) implies: % 236.65/38.27 | (762) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1460_2) = % 236.65/38.27 | all_1460_1 % 236.65/38.27 | (763) c_Int_OBit0(all_1460_3) = all_1460_2 % 236.65/38.27 | (764) c_Int_OBit1(c_Int_OPls) = all_1460_3 % 236.65/38.27 | % 236.65/38.27 | DELTA: instantiating (188) with fresh symbol all_1463_0 gives: % 236.65/38.28 | (765) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1463_0 & % 236.65/38.28 | $i(all_1463_0) & ! [v0: any] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 236.65/38.28 | $i] : (v3 = v2 | v0 = all_1463_0 | ~ % 236.65/38.28 | (c_Power_Opower__class_Opower(v1, v2, v0) = v3) | ~ % 236.65/38.28 | (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~ % 236.65/38.28 | class_Rings_Osemiring__0(v1) | ~ class_Power_Opower(v1)) & ! [v0: % 236.65/38.28 | $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.65/38.28 | (c_Power_Opower__class_Opower(v0, v1, all_1463_0) = v2) | ~ % 236.65/38.28 | (c_Groups_Ozero__class_Ozero(v0) = v1) | ~ $i(v0) | ~ % 236.65/38.28 | class_Rings_Osemiring__0(v0) | ~ class_Power_Opower(v0) | % 236.65/38.28 | (c_Groups_Oone__class_Oone(v0) = v2 & $i(v2))) % 236.65/38.28 | % 236.65/38.28 | ALPHA: (765) implies: % 236.65/38.28 | (766) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1463_0 % 236.65/38.28 | % 236.65/38.28 | DELTA: instantiating (192) with fresh symbols all_1469_0, all_1469_1, % 236.65/38.28 | all_1469_2, all_1469_3 gives: % 236.65/38.28 | (767) c_Int_OBit1(c_Int_OPls) = all_1469_3 & c_Int_OBit0(all_1469_3) = % 236.65/38.28 | all_1469_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 236.65/38.28 | all_1469_2) = all_1469_1 & % 236.65/38.28 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1469_0 & % 236.65/38.28 | $i(all_1469_0) & $i(all_1469_1) & $i(all_1469_2) & $i(all_1469_3) & % 236.65/38.28 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 236.65/38.28 | ! [v5: $i] : ! [v6: $i] : ( ~ (c_NthRoot_Osqrt(v4) = v5) | ~ % 236.65/38.28 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v1, all_1469_1) = % 236.65/38.28 | v2) | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v0, % 236.65/38.28 | all_1469_1) = v3) | ~ % 236.65/38.28 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v5) = v6) | % 236.65/38.28 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v3) = v4) | ~ % 236.65/38.28 | $i(v1) | ~ $i(v0) | ? [v7: $i] : % 236.65/38.28 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v6) = v7 & $i(v7) & % 236.65/38.28 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v7, % 236.65/38.28 | all_1469_0))) % 236.65/38.28 | % 236.65/38.28 | ALPHA: (767) implies: % 236.65/38.28 | (768) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1469_2) = % 236.65/38.28 | all_1469_1 % 236.65/38.28 | (769) c_Int_OBit0(all_1469_3) = all_1469_2 % 236.65/38.28 | (770) c_Int_OBit1(c_Int_OPls) = all_1469_3 % 236.65/38.28 | % 236.65/38.28 | DELTA: instantiating (7) with fresh symbol all_1472_0 gives: % 236.65/38.28 | (771) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1472_0 & % 236.65/38.28 | $i(all_1472_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.65/38.28 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ~ $i(v1) % 236.65/38.28 | | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, % 236.65/38.28 | all_1472_0, v2) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, % 236.65/38.28 | all_1472_0, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, % 236.65/38.28 | all_1472_0, v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.65/38.28 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ~ $i(v1) % 236.65/38.28 | | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, % 236.65/38.28 | all_1472_0, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, % 236.65/38.28 | all_1472_0, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.65/38.28 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ~ $i(v1) % 236.65/38.28 | | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, % 236.65/38.28 | all_1472_0, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, % 236.65/38.28 | all_1472_0, v2)) % 236.65/38.28 | % 236.65/38.28 | ALPHA: (771) implies: % 236.65/38.28 | (772) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1472_0 % 236.65/38.28 | % 236.65/38.28 | DELTA: instantiating (184) with fresh symbol all_1475_0 gives: % 236.65/38.28 | (773) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1475_0 & % 236.65/38.28 | $i(all_1475_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 236.65/38.28 | $i] : ( ~ (c_Power_Opower__class_Opower(v2, v1, v0) = v3) | ~ % 236.65/38.28 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 236.65/38.28 | class_Rings_Ono__zero__divisors(v2) | ~ % 236.65/38.28 | class_Rings_Omult__zero(v2) | ~ class_Power_Opower(v2) | ~ % 236.65/38.28 | class_Rings_Ozero__neq__one(v2) | ? [v4: $i] : % 236.65/38.28 | (c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4) & ( ~ (v4 = v3) | % 236.65/38.28 | (v3 = v1 & ~ (v0 = all_1475_0))) & ( ~ (v4 = v1) | v3 = v1 | % 236.65/38.28 | v0 = all_1475_0))) % 236.65/38.28 | % 236.65/38.28 | ALPHA: (773) implies: % 236.65/38.28 | (774) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1475_0 % 236.65/38.28 | % 236.65/38.28 | DELTA: instantiating (197) with fresh symbols all_1481_0, all_1481_1, % 236.65/38.28 | all_1481_2, all_1481_3 gives: % 236.65/38.28 | (775) c_Int_OBit1(c_Int_OPls) = all_1481_3 & c_Int_OBit0(all_1481_3) = % 236.65/38.28 | all_1481_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 236.65/38.28 | all_1481_2) = all_1481_1 & % 236.65/38.28 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1481_0 & % 236.65/38.28 | $i(all_1481_0) & $i(all_1481_1) & $i(all_1481_2) & $i(all_1481_3) & % 236.65/38.28 | ! [v0: $i] : ! [v1: $i] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ $i(v0) % 236.65/38.28 | | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, % 236.65/38.28 | all_1481_0, v0) | c_Power_Opower__class_Opower(tc_RealDef_Oreal, % 236.65/38.28 | v1, all_1481_1) = v0) & ! [v0: $i] : ! [v1: $i] : ( ~ % 236.65/38.28 | (c_NthRoot_Osqrt(v0) = v1) | ~ $i(v0) | % 236.65/38.28 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1481_0, v0) % 236.65/38.28 | | ? [v2: $i] : ( ~ (v2 = v0) & % 236.65/38.28 | c_Power_Opower__class_Opower(tc_RealDef_Oreal, v1, all_1481_1) = % 236.65/38.28 | v2 & $i(v2))) % 236.65/38.28 | % 236.65/38.28 | ALPHA: (775) implies: % 236.65/38.28 | (776) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1481_2) = % 236.65/38.28 | all_1481_1 % 236.65/38.28 | (777) c_Int_OBit0(all_1481_3) = all_1481_2 % 236.65/38.28 | (778) c_Int_OBit1(c_Int_OPls) = all_1481_3 % 236.65/38.28 | % 236.65/38.28 | DELTA: instantiating (131) with fresh symbol all_1493_0 gives: % 236.65/38.28 | (779) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1493_0 & % 236.65/38.28 | $i(all_1493_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 236.65/38.28 | $i] : ! [v4: $i] : ( ~ (c_Power_Opower__class_Opower(v2, v1, v3) = % 236.65/38.28 | v4) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v3) % 236.65/38.28 | | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 236.65/38.28 | class_Rings_Ono__zero__divisors(v2) | ~ % 236.65/38.28 | class_Rings_Omult__zero(v2) | ~ class_Power_Opower(v2) | ~ % 236.65/38.28 | class_Rings_Ozero__neq__one(v2) | ? [v5: $i] : % 236.65/38.28 | (c_Groups_Ozero__class_Ozero(v2) = v5 & $i(v5) & ( ~ (v5 = v4) | % 236.65/38.28 | (v4 = v1 & ~ (v3 = all_1493_0))) & ( ~ (v5 = v1) | v4 = v1 | % 236.65/38.28 | v3 = all_1493_0))) % 236.65/38.28 | % 236.65/38.28 | ALPHA: (779) implies: % 236.65/38.28 | (780) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1493_0 % 236.65/38.28 | % 236.65/38.28 | DELTA: instantiating (135) with fresh symbols all_1496_0, all_1496_1 gives: % 236.65/38.28 | (781) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1496_1 & % 236.65/38.28 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1496_0 & % 236.65/38.28 | $i(all_1496_0) & $i(all_1496_1) & ! [v0: $i] : ! [v1: any] : ! % 236.65/38.28 | [v2: $i] : ! [v3: $i] : (v1 = all_1496_1 | ~ % 236.65/38.28 | (c_Power_Opower__class_Opower(tc_Int_Oint, v2, v0) = v3) | ~ % 236.65/38.28 | (c_Groups_Oabs__class_Oabs(tc_Int_Oint, v1) = v2) | ~ $i(v1) | ~ % 236.65/38.28 | $i(v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1496_1, % 236.65/38.28 | v3)) & ! [v0: any] : ! [v1: $i] : ! [v2: $i] : (v0 = % 236.65/38.28 | all_1496_0 | ~ (c_Power_Opower__class_Opower(tc_Int_Oint, v1, v0) % 236.65/38.28 | = v2) | ~ (c_Groups_Oabs__class_Oabs(tc_Int_Oint, all_1496_1) = % 236.65/38.28 | v1) | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 236.65/38.28 | all_1496_1, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.65/38.28 | (c_Power_Opower__class_Opower(tc_Int_Oint, v1, all_1496_0) = v2) | % 236.65/38.28 | ~ (c_Groups_Oabs__class_Oabs(tc_Int_Oint, v0) = v1) | ~ $i(v0) | % 236.65/38.28 | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1496_1, v2)) % 236.65/38.28 | % 236.65/38.28 | ALPHA: (781) implies: % 236.65/38.28 | (782) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1496_0 % 236.65/38.28 | (783) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1496_1 % 236.65/38.28 | % 236.65/38.28 | DELTA: instantiating (134) with fresh symbol all_1502_0 gives: % 236.65/38.28 | (784) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1502_0 & % 236.65/38.28 | $i(all_1502_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ! [v3: % 236.65/38.28 | $i] : ! [v4: $i] : (v4 = v3 | v2 = all_1502_0 | ~ % 236.65/38.28 | (c_Power_Opower__class_Opower(v1, v3, v2) = v4) | ~ % 236.65/38.28 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v2) | ~ % 236.65/38.28 | (c_Groups_Ozero__class_Ozero(v1) = v3) | ~ $i(v1) | ~ $i(v0) | ~ % 236.65/38.28 | class_Rings_Osemiring__0(v1) | ~ class_Power_Opower(v1)) & ! [v0: % 236.65/38.28 | $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 236.65/38.28 | (c_Power_Opower__class_Opower(v1, v2, all_1502_0) = v3) | ~ % 236.65/38.28 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = all_1502_0) | % 236.65/38.28 | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ $i(v1) | ~ $i(v0) | % 236.65/38.28 | ~ class_Rings_Osemiring__0(v1) | ~ class_Power_Opower(v1) | % 236.65/38.28 | (c_Groups_Oone__class_Oone(v1) = v3 & $i(v3))) % 236.65/38.28 | % 236.65/38.28 | ALPHA: (784) implies: % 236.65/38.28 | (785) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1502_0 % 236.65/38.28 | % 236.65/38.28 | DELTA: instantiating (35) with fresh symbols all_1508_0, all_1508_1, % 236.65/38.28 | all_1508_2, all_1508_3 gives: % 236.65/38.28 | (786) c_Int_OBit1(c_Int_OPls) = all_1508_3 & c_Int_OBit0(all_1508_3) = % 236.65/38.28 | all_1508_2 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, % 236.65/38.28 | all_1508_2) = all_1508_1 & % 236.65/38.28 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, % 236.65/38.28 | all_1508_1) = all_1508_0 & $i(all_1508_0) & $i(all_1508_1) & % 236.65/38.28 | $i(all_1508_2) & $i(all_1508_3) & ! [v0: $i] : ! [v1: $i] : ( ~ % 236.65/38.28 | (hAPP(v_f____, v0) = v1) | ~ $i(v0) | ~ % 236.65/38.28 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v_N1____, v0) | ? % 236.65/38.28 | [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : % 236.65/38.28 | (c_Complex_ORe(v2) = v3 & % 236.65/38.28 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v4) = v5 & % 236.65/38.28 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v3, v_x____) = v4 % 236.65/38.28 | & v_s(v1) = v2 & $i(v5) & $i(v4) & $i(v3) & $i(v2) & % 236.65/38.28 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, all_1508_0))) % 236.65/38.28 | % 236.65/38.28 | ALPHA: (786) implies: % 236.65/38.28 | (787) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, % 236.65/38.28 | all_1508_1) = all_1508_0 % 236.65/38.28 | (788) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1508_2) = % 236.65/38.28 | all_1508_1 % 236.65/38.28 | (789) c_Int_OBit0(all_1508_3) = all_1508_2 % 236.65/38.28 | (790) c_Int_OBit1(c_Int_OPls) = all_1508_3 % 236.65/38.28 | (791) ! [v0: $i] : ! [v1: $i] : ( ~ (hAPP(v_f____, v0) = v1) | ~ $i(v0) % 236.65/38.28 | | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v_N1____, v0) | % 236.65/38.28 | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : % 236.65/38.28 | (c_Complex_ORe(v2) = v3 & % 236.65/38.28 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v4) = v5 & % 236.65/38.28 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v3, v_x____) = v4 % 236.65/38.28 | & v_s(v1) = v2 & $i(v5) & $i(v4) & $i(v3) & $i(v2) & % 236.65/38.28 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, all_1508_0))) % 236.65/38.28 | % 236.65/38.28 | DELTA: instantiating (132) with fresh symbol all_1511_0 gives: % 236.65/38.28 | (792) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1511_0 & % 236.65/38.28 | $i(all_1511_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ! [v3: % 236.65/38.28 | $i] : (v2 = all_1511_0 | ~ % 236.65/38.28 | (c_Power_Opower__class_Opower(tc_Nat_Onat, v1, v2) = v3) | ~ % 236.65/38.28 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v2) | ~ % 236.65/38.28 | $i(v1) | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, % 236.65/38.28 | all_1511_0, v3) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, % 236.65/38.28 | all_1511_0, v1)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 236.65/38.28 | [v3: $i] : ( ~ (c_Power_Opower__class_Opower(tc_Nat_Onat, v1, v2) = % 236.65/38.28 | v3) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v2) % 236.65/38.28 | | ~ $i(v1) | ~ $i(v0) | ~ % 236.65/38.28 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1511_0, v1) | % 236.65/38.28 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1511_0, v3)) & ! % 236.65/38.28 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.65/38.28 | (c_Power_Opower__class_Opower(tc_Nat_Onat, v1, all_1511_0) = v2) | % 236.65/38.28 | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = all_1511_0) % 236.65/38.28 | | ~ $i(v1) | ~ $i(v0) | % 236.65/38.28 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1511_0, v2)) % 236.65/38.28 | % 236.65/38.28 | ALPHA: (792) implies: % 236.65/38.28 | (793) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1511_0 % 236.65/38.28 | % 236.65/38.28 | DELTA: instantiating (146) with fresh symbols all_1517_0, all_1517_1, % 236.65/38.28 | all_1517_2 gives: % 236.65/38.28 | (794) c_Int_OBit1(c_Int_OPls) = all_1517_2 & c_Int_OBit0(all_1517_2) = % 236.65/38.28 | all_1517_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 236.65/38.28 | all_1517_1) = all_1517_0 & $i(all_1517_0) & $i(all_1517_1) & % 236.65/38.28 | $i(all_1517_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 236.65/38.28 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~ % 236.65/38.28 | (c_Power_Opower__class_Opower(v2, v1, all_1517_0) = v3) | ~ % 236.65/38.28 | (c_Power_Opower__class_Opower(v2, v0, all_1517_0) = v4) | ~ % 236.65/38.28 | (c_Groups_Oplus__class_Oplus(v2, v3, v4) = v5) | ~ $i(v2) | ~ % 236.65/38.28 | $i(v1) | ~ $i(v0) | ~ class_Rings_Olinordered__idom(v2) | ? [v6: % 236.65/38.28 | $i] : (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~ (v6 = % 236.65/38.28 | v5) | (v5 = v0 & v1 = v0)) & ( ~ (v6 = v0) | ~ (v1 = v0) | % 236.65/38.28 | v5 = v0))) % 236.65/38.28 | % 236.65/38.28 | ALPHA: (794) implies: % 236.65/38.28 | (795) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1517_1) = % 236.65/38.28 | all_1517_0 % 236.65/38.28 | (796) c_Int_OBit0(all_1517_2) = all_1517_1 % 236.65/38.28 | (797) c_Int_OBit1(c_Int_OPls) = all_1517_2 % 236.65/38.28 | % 236.65/38.28 | DELTA: instantiating (128) with fresh symbols all_1520_0, all_1520_1, % 236.65/38.28 | all_1520_2 gives: % 236.65/38.28 | (798) c_Int_OBit1(c_Int_OPls) = all_1520_2 & c_Int_OBit0(all_1520_2) = % 236.65/38.28 | all_1520_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 236.65/38.28 | all_1520_1) = all_1520_0 & $i(all_1520_0) & $i(all_1520_1) & % 236.65/38.28 | $i(all_1520_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 236.65/38.28 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~ % 236.65/38.28 | (c_Power_Opower__class_Opower(v2, v1, all_1520_0) = v3) | ~ % 236.65/38.28 | (c_Power_Opower__class_Opower(v2, v0, all_1520_0) = v4) | ~ % 236.65/38.28 | (c_Groups_Oplus__class_Oplus(v2, v3, v4) = v5) | ~ $i(v2) | ~ % 236.65/38.28 | $i(v1) | ~ $i(v0) | ~ class_Rings_Olinordered__idom(v2) | ? [v6: % 236.65/38.28 | $i] : (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~ (v6 = % 236.65/38.28 | v0) | ~ (v1 = v0) | ~ c_Orderings_Oord__class_Oless(v2, v0, % 236.65/38.28 | v5)) & (c_Orderings_Oord__class_Oless(v2, v6, v5) | (v6 = v0 % 236.65/38.28 | & v1 = v0)))) % 236.65/38.28 | % 236.65/38.28 | ALPHA: (798) implies: % 236.65/38.28 | (799) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1520_1) = % 236.65/38.28 | all_1520_0 % 236.65/38.28 | (800) c_Int_OBit0(all_1520_2) = all_1520_1 % 236.65/38.28 | (801) c_Int_OBit1(c_Int_OPls) = all_1520_2 % 236.65/38.28 | % 236.65/38.28 | DELTA: instantiating (64) with fresh symbols all_1526_0, all_1526_1, % 236.65/38.28 | all_1526_2, all_1526_3, all_1526_4 gives: % 236.65/38.28 | (802) c_Int_OBit1(c_Int_OPls) = all_1526_4 & c_Int_OBit0(all_1526_4) = % 236.65/38.28 | all_1526_3 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, % 236.65/38.28 | all_1526_3) = all_1526_2 & % 236.65/38.28 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, % 236.65/38.28 | all_1526_2) = all_1526_1 & $i(all_1526_0) & $i(all_1526_1) & % 236.65/38.28 | $i(all_1526_2) & $i(all_1526_3) & $i(all_1526_4) & ! [v0: $i] : ! % 236.65/38.28 | [v1: $i] : ( ~ (hAPP(v_f____, v0) = v1) | ~ $i(v0) | ~ % 236.65/38.28 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_1526_0, v0) | ? % 236.65/38.28 | [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : % 236.65/38.28 | (c_Complex_ORe(v2) = v3 & % 236.65/38.28 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v4) = v5 & % 236.65/38.28 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v3, v_x____) = v4 % 236.65/38.28 | & v_s(v1) = v2 & $i(v5) & $i(v4) & $i(v3) & $i(v2) & % 236.65/38.28 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, all_1526_1))) % 236.65/38.28 | % 236.65/38.28 | ALPHA: (802) implies: % 236.65/38.28 | (803) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, % 236.65/38.28 | all_1526_2) = all_1526_1 % 236.65/38.28 | (804) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1526_3) = % 236.65/38.28 | all_1526_2 % 236.65/38.28 | (805) c_Int_OBit0(all_1526_4) = all_1526_3 % 236.65/38.28 | (806) c_Int_OBit1(c_Int_OPls) = all_1526_4 % 236.65/38.28 | % 236.65/38.28 | DELTA: instantiating (172) with fresh symbol all_1529_0 gives: % 236.65/38.28 | (807) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1529_0 & % 236.65/38.28 | $i(all_1529_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.65/38.28 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v1, v0) = v2) | ~ $i(v1) % 236.65/38.28 | | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, % 236.65/38.28 | v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, % 236.65/38.28 | all_1529_0, v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 236.65/38.28 | all_1529_0, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, % 236.65/38.28 | all_1529_0, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.65/38.28 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v1, v0) = v2) | ~ $i(v1) % 236.65/38.28 | | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, % 236.65/38.28 | all_1529_0, v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 236.65/38.28 | all_1529_0, v2) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, % 236.65/38.28 | v0, v1)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.65/38.28 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v1, v0) = v2) | ~ $i(v1) % 236.65/38.28 | | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, % 236.65/38.28 | all_1529_0, v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 236.65/38.28 | all_1529_0, v2) | c_Orderings_Oord__class_Oless(tc_Int_Oint, % 236.65/38.28 | all_1529_0, v0)) % 236.65/38.28 | % 236.65/38.28 | ALPHA: (807) implies: % 236.65/38.28 | (808) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1529_0 % 236.65/38.28 | % 236.65/38.28 | DELTA: instantiating (152) with fresh symbols all_1532_0, all_1532_1, % 236.65/38.28 | all_1532_2 gives: % 236.65/38.28 | (809) c_Int_OBit1(c_Int_OPls) = all_1532_2 & c_Int_OBit0(all_1532_2) = % 236.65/38.28 | all_1532_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 236.65/38.28 | all_1532_1) = all_1532_0 & $i(all_1532_0) & $i(all_1532_1) & % 236.65/38.29 | $i(all_1532_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 236.65/38.29 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~ % 236.65/38.29 | (c_Power_Opower__class_Opower(v2, v1, all_1532_0) = v3) | ~ % 236.65/38.29 | (c_Power_Opower__class_Opower(v2, v0, all_1532_0) = v4) | ~ % 236.65/38.29 | (c_Groups_Oplus__class_Oplus(v2, v3, v4) = v5) | ~ $i(v2) | ~ % 236.65/38.29 | $i(v1) | ~ $i(v0) | ~ class_Rings_Olinordered__idom(v2) | ? [v6: % 236.65/38.29 | $i] : (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~ (v6 = % 236.65/38.29 | v0) | ~ (v1 = v0) | c_Orderings_Oord__class_Oless__eq(v2, % 236.65/38.29 | v5, v0)) & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v5, v6) % 236.65/38.29 | | (v6 = v0 & v1 = v0)))) % 236.65/38.29 | % 236.65/38.29 | ALPHA: (809) implies: % 236.65/38.29 | (810) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1532_1) = % 236.65/38.29 | all_1532_0 % 236.65/38.29 | (811) c_Int_OBit0(all_1532_2) = all_1532_1 % 236.65/38.29 | (812) c_Int_OBit1(c_Int_OPls) = all_1532_2 % 236.65/38.29 | % 236.65/38.29 | DELTA: instantiating (214) with fresh symbols all_1535_0, all_1535_1, % 236.65/38.29 | all_1535_2, all_1535_3, all_1535_4 gives: % 236.65/38.29 | (813) c_Int_OBit1(c_Int_OPls) = all_1535_2 & c_Int_OBit0(all_1535_2) = % 236.65/38.29 | all_1535_1 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, % 236.65/38.29 | all_1535_1) = all_1535_0 & c_Groups_Oone__class_Oone(tc_Int_Oint) = % 236.65/38.29 | all_1535_3 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1535_4 & % 236.65/38.29 | $i(all_1535_0) & $i(all_1535_1) & $i(all_1535_2) & $i(all_1535_3) & % 236.65/38.29 | $i(all_1535_4) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 236.65/38.29 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~ % 236.65/38.29 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint, all_1535_0, v1) = v4) | % 236.65/38.29 | ~ (c_Groups_Otimes__class_Otimes(tc_Int_Oint, all_1535_0, v0) = % 236.65/38.29 | v2) | ~ (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v3, v4) = v5) | % 236.65/38.29 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_1535_3, v2) = v3) % 236.65/38.29 | | ~ $i(v1) | ~ $i(v0) | ~ % 236.65/38.29 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, all_1535_4) | ? % 236.65/38.29 | [v6: $i] : (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v6, v1) = v5 & % 236.65/38.29 | c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_1535_3) = v6 & % 236.65/38.29 | $i(v6) & $i(v5))) % 236.65/38.29 | % 236.65/38.29 | ALPHA: (813) implies: % 236.65/38.29 | (814) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1535_4 % 236.65/38.29 | (815) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1535_3 % 236.65/38.29 | (816) c_Int_Onumber__class_Onumber__of(tc_Int_Oint, all_1535_1) = % 236.65/38.29 | all_1535_0 % 236.65/38.29 | (817) c_Int_OBit0(all_1535_2) = all_1535_1 % 236.65/38.29 | (818) c_Int_OBit1(c_Int_OPls) = all_1535_2 % 236.65/38.29 | % 236.65/38.29 | DELTA: instantiating (36) with fresh symbols all_1541_0, all_1541_1, % 236.65/38.29 | all_1541_2, all_1541_3 gives: % 236.65/38.29 | (819) c_Int_OBit1(c_Int_OPls) = all_1541_3 & c_Int_OBit0(all_1541_3) = % 236.65/38.29 | all_1541_2 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, % 236.65/38.29 | all_1541_2) = all_1541_1 & % 236.65/38.29 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, % 236.65/38.29 | all_1541_1) = all_1541_0 & $i(all_1541_0) & $i(all_1541_1) & % 236.65/38.29 | $i(all_1541_2) & $i(all_1541_3) & ! [v0: $i] : ! [v1: $i] : ( ~ % 236.65/38.29 | (hAPP(v_ga____, v0) = v1) | ~ $i(v0) | ~ % 236.65/38.29 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v_N2____, v0) | ? % 236.65/38.29 | [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : % 236.65/38.29 | (c_Complex_OIm(v3) = v4 & % 236.65/38.29 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v5) = v6 & % 236.65/38.29 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v4, v_y____) = v5 % 236.65/38.29 | & v_s(v2) = v3 & hAPP(v_f____, v1) = v2 & $i(v6) & $i(v5) & % 236.65/38.29 | $i(v4) & $i(v3) & $i(v2) & % 236.65/38.29 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, all_1541_0))) % 236.65/38.29 | % 236.65/38.29 | ALPHA: (819) implies: % 236.65/38.29 | (820) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, % 236.65/38.29 | all_1541_1) = all_1541_0 % 236.65/38.29 | (821) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1541_2) = % 236.65/38.29 | all_1541_1 % 236.65/38.29 | (822) c_Int_OBit0(all_1541_3) = all_1541_2 % 236.65/38.29 | (823) c_Int_OBit1(c_Int_OPls) = all_1541_3 % 236.65/38.29 | (824) ! [v0: $i] : ! [v1: $i] : ( ~ (hAPP(v_ga____, v0) = v1) | ~ $i(v0) % 236.65/38.29 | | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v_N2____, v0) | % 236.65/38.29 | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] % 236.65/38.29 | : (c_Complex_OIm(v3) = v4 & % 236.65/38.29 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v5) = v6 & % 236.65/38.29 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v4, v_y____) = v5 % 236.65/38.29 | & v_s(v2) = v3 & hAPP(v_f____, v1) = v2 & $i(v6) & $i(v5) & % 236.65/38.29 | $i(v4) & $i(v3) & $i(v2) & % 236.65/38.29 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, all_1541_0))) % 236.65/38.29 | % 236.65/38.29 | DELTA: instantiating (213) with fresh symbols all_1547_0, all_1547_1, % 236.65/38.29 | all_1547_2, all_1547_3 gives: % 236.65/38.29 | (825) c_Int_OBit1(c_Int_OPls) = all_1547_2 & c_Int_OBit0(all_1547_2) = % 236.65/38.29 | all_1547_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 236.65/38.29 | all_1547_1) = all_1547_0 & % 236.65/38.29 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1547_3 & % 236.65/38.29 | $i(all_1547_0) & $i(all_1547_1) & $i(all_1547_2) & $i(all_1547_3) & % 236.65/38.29 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 236.65/38.29 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : % 236.65/38.29 | ! [v10: $i] : ( ~ (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal, % 236.65/38.29 | v6, v9) = v10) | ~ % 236.65/38.29 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v3, all_1547_0) = % 236.65/38.29 | v4) | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v2, % 236.65/38.29 | all_1547_0) = v5) | ~ % 236.65/38.29 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v1, all_1547_0) = % 236.65/38.29 | v7) | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v0, % 236.65/38.29 | all_1547_0) = v8) | ~ % 236.65/38.29 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v7, v8) = v9) | ~ % 236.65/38.29 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v5) = v6) | ~ % 236.65/38.29 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v11: $i] : % 236.65/38.29 | (c_NthRoot_Osqrt(v10) = v11 & $i(v11) & % 236.65/38.29 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1547_3, % 236.65/38.29 | v11))) % 236.65/38.29 | % 236.65/38.29 | ALPHA: (825) implies: % 236.65/38.29 | (826) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1547_1) = % 236.65/38.29 | all_1547_0 % 236.65/38.29 | (827) c_Int_OBit0(all_1547_2) = all_1547_1 % 236.65/38.29 | (828) c_Int_OBit1(c_Int_OPls) = all_1547_2 % 236.65/38.29 | % 236.65/38.29 | DELTA: instantiating (147) with fresh symbols all_1550_0, all_1550_1, % 236.65/38.29 | all_1550_2, all_1550_3 gives: % 236.65/38.29 | (829) c_Int_OBit1(c_Int_OPls) = all_1550_3 & c_Int_OBit0(all_1550_3) = % 236.65/38.29 | all_1550_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 236.65/38.29 | all_1550_2) = all_1550_1 & % 236.65/38.29 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1550_0 & % 236.65/38.29 | $i(all_1550_0) & $i(all_1550_1) & $i(all_1550_2) & $i(all_1550_3) & % 236.65/38.29 | ! [v0: $i] : ! [v1: any] : ! [v2: $i] : ! [v3: $i] : (v1 = % 236.65/38.29 | all_1550_0 | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v1, % 236.65/38.29 | all_1550_1) = v2) | ~ % 236.65/38.29 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v0, all_1550_1) = % 236.65/38.29 | v3) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v3) = % 236.65/38.29 | all_1550_0) | ~ $i(v1) | ~ $i(v0)) & ! [v0: any] : ! [v1: $i] % 236.65/38.29 | : ! [v2: $i] : ! [v3: $i] : (v0 = all_1550_0 | ~ % 236.65/38.29 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v1, all_1550_1) = % 236.65/38.29 | v2) | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v0, % 236.65/38.29 | all_1550_1) = v3) | ~ % 236.65/38.29 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v3) = % 236.65/38.29 | all_1550_0) | ~ $i(v1) | ~ $i(v0)) & ! [v0: $i] : ! [v1: int] % 236.65/38.29 | : (v1 = all_1550_0 | ~ % 236.65/38.29 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, all_1550_0, % 236.65/38.29 | all_1550_1) = v0) | ~ % 236.65/38.29 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v0, v0) = v1)) % 236.65/38.29 | % 236.65/38.29 | ALPHA: (829) implies: % 236.65/38.29 | (830) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1550_2) = % 236.65/38.29 | all_1550_1 % 236.65/38.29 | (831) c_Int_OBit0(all_1550_3) = all_1550_2 % 236.65/38.29 | (832) c_Int_OBit1(c_Int_OPls) = all_1550_3 % 236.65/38.29 | % 236.65/38.29 | DELTA: instantiating (63) with fresh symbols all_1553_0, all_1553_1, % 236.65/38.29 | all_1553_2, all_1553_3, all_1553_4 gives: % 236.65/38.29 | (833) c_Int_OBit1(c_Int_OPls) = all_1553_4 & c_Int_OBit0(all_1553_4) = % 236.65/38.29 | all_1553_3 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, % 236.65/38.29 | all_1553_3) = all_1553_2 & % 236.65/38.29 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, % 236.65/38.29 | all_1553_2) = all_1553_1 & $i(all_1553_0) & $i(all_1553_1) & % 236.65/38.29 | $i(all_1553_2) & $i(all_1553_3) & $i(all_1553_4) & ! [v0: $i] : ! % 236.65/38.29 | [v1: $i] : ( ~ (hAPP(v_ga____, v0) = v1) | ~ $i(v0) | ~ % 236.65/38.29 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_1553_0, v0) | ? % 236.65/38.29 | [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : % 236.65/38.29 | (c_Complex_OIm(v3) = v4 & % 236.65/38.29 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v5) = v6 & % 236.65/38.29 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v4, v_y____) = v5 % 236.65/38.29 | & v_s(v2) = v3 & hAPP(v_f____, v1) = v2 & $i(v6) & $i(v5) & % 236.65/38.29 | $i(v4) & $i(v3) & $i(v2) & % 236.65/38.29 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, all_1553_1))) % 236.65/38.29 | % 236.65/38.29 | ALPHA: (833) implies: % 236.65/38.29 | (834) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, % 236.65/38.29 | all_1553_2) = all_1553_1 % 236.65/38.29 | (835) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1553_3) = % 236.65/38.29 | all_1553_2 % 236.65/38.29 | (836) c_Int_OBit0(all_1553_4) = all_1553_3 % 236.65/38.29 | (837) c_Int_OBit1(c_Int_OPls) = all_1553_4 % 236.65/38.29 | % 236.65/38.29 | DELTA: instantiating (191) with fresh symbols all_1559_0, all_1559_1, % 236.65/38.29 | all_1559_2, all_1559_3, all_1559_4 gives: % 236.65/38.29 | (838) c_Int_OBit1(c_Int_OPls) = all_1559_3 & c_Int_OBit0(all_1559_3) = % 236.65/38.29 | all_1559_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 236.65/38.29 | all_1559_2) = all_1559_0 & % 236.65/38.29 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1559_2) = % 236.65/38.29 | all_1559_1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = % 236.65/38.29 | all_1559_4 & $i(all_1559_0) & $i(all_1559_1) & $i(all_1559_2) & % 236.65/38.29 | $i(all_1559_3) & $i(all_1559_4) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 236.65/38.29 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~ % 236.65/38.29 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v1, all_1559_0) = % 236.65/38.29 | v4) | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v0, % 236.65/38.29 | all_1559_0) = v5) | ~ % 236.65/38.29 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, all_1559_1) % 236.65/38.29 | = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v5) % 236.65/38.29 | = v6) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ % 236.65/38.29 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1559_4, v1) % 236.65/38.29 | | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, % 236.65/38.29 | all_1559_4, v0) | ~ % 236.65/38.29 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v3) | ~ % 236.65/38.29 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) | ~ % 236.65/38.29 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1559_4, v2) | % 236.65/38.29 | ? [v7: $i] : (c_NthRoot_Osqrt(v6) = v7 & $i(v7) & % 236.65/38.29 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7, v2))) % 236.65/38.29 | % 236.65/38.29 | ALPHA: (838) implies: % 236.65/38.29 | (839) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1559_2) = % 236.65/38.29 | all_1559_1 % 236.65/38.29 | (840) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1559_2) = % 236.65/38.29 | all_1559_0 % 236.65/38.29 | (841) c_Int_OBit0(all_1559_3) = all_1559_2 % 236.65/38.29 | (842) c_Int_OBit1(c_Int_OPls) = all_1559_3 % 236.65/38.29 | % 236.65/38.29 | DELTA: instantiating (212) with fresh symbols all_1562_0, all_1562_1, % 236.65/38.29 | all_1562_2, all_1562_3, all_1562_4 gives: % 236.91/38.29 | (843) c_NthRoot_Osqrt(all_1562_2) = all_1562_1 & c_Int_OBit1(c_Int_OPls) = % 236.91/38.29 | all_1562_4 & c_Int_OBit0(all_1562_4) = all_1562_3 & % 236.91/38.29 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1562_3) = % 236.91/38.29 | all_1562_0 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, % 236.91/38.29 | all_1562_3) = all_1562_2 & $i(all_1562_0) & $i(all_1562_1) & % 236.91/38.29 | $i(all_1562_2) & $i(all_1562_3) & $i(all_1562_4) & ! [v0: $i] : ! % 236.91/38.29 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! % 236.91/38.29 | [v6: $i] : ( ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v2, % 236.91/38.29 | all_1562_0) = v4) | ~ % 236.91/38.29 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v0, all_1562_0) = % 236.91/38.29 | v5) | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, % 236.91/38.29 | all_1562_1) = v3) | ~ % 236.91/38.29 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v5) = v6) | ~ % 236.91/38.29 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v7: $i] : ? [v8: $i] : ? % 236.91/38.29 | [v9: $i] : ((c_NthRoot_Osqrt(v6) = v9 & $i(v9) & % 236.91/38.29 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9, v1)) | % 236.91/38.29 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v2) = v7 & $i(v7) & % 236.91/38.29 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7, v3)) | % 236.91/38.29 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v0) = v8 & $i(v8) & % 236.91/38.29 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v3)))) % 236.91/38.29 | % 236.91/38.29 | ALPHA: (843) implies: % 236.91/38.29 | (844) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1562_3) = % 236.91/38.29 | all_1562_2 % 236.91/38.29 | (845) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1562_3) = % 236.91/38.29 | all_1562_0 % 236.91/38.29 | (846) c_Int_OBit0(all_1562_4) = all_1562_3 % 236.91/38.29 | (847) c_Int_OBit1(c_Int_OPls) = all_1562_4 % 236.91/38.29 | % 236.91/38.29 | DELTA: instantiating (27) with fresh symbols all_1571_0, all_1571_1, % 236.91/38.29 | all_1571_2, all_1571_3, all_1571_4, all_1571_5, all_1571_6, all_1571_7, % 236.91/38.29 | all_1571_8, all_1571_9, all_1571_10, all_1571_11, all_1571_12, % 236.91/38.29 | all_1571_13, all_1571_14 gives: % 236.91/38.29 | (848) c_Complex_ORe(all_1571_11) = all_1571_7 & c_Complex_ORe(all_1571_12) % 236.91/38.29 | = all_1571_8 & c_Complex_OIm(all_1571_11) = all_1571_3 & % 236.91/38.29 | c_Complex_OIm(all_1571_12) = all_1571_4 & % 236.91/38.29 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1571_2) = all_1571_1 % 236.91/38.29 | & c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1571_6) = % 236.91/38.29 | all_1571_5 & c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, % 236.91/38.29 | all_1571_5, all_1571_1) = all_1571_0 & % 236.91/38.29 | c_Complex_Ocomplex_OComplex(v_x____, v_y____) = all_1571_11 & % 236.91/38.29 | c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, all_1571_12, % 236.91/38.29 | all_1571_11) = all_1571_10 & % 236.91/38.29 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1571_4, % 236.91/38.29 | all_1571_3) = all_1571_2 & % 236.91/38.29 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1571_8, % 236.91/38.29 | all_1571_7) = all_1571_6 & v_s(all_1571_13) = all_1571_12 & % 236.91/38.29 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1571_10) = % 236.91/38.29 | all_1571_9 & hAPP(v_ga____, v_n____) = all_1571_14 & hAPP(v_f____, % 236.91/38.29 | all_1571_14) = all_1571_13 & $i(all_1571_0) & $i(all_1571_1) & % 236.91/38.29 | $i(all_1571_2) & $i(all_1571_3) & $i(all_1571_4) & $i(all_1571_5) & % 236.91/38.29 | $i(all_1571_6) & $i(all_1571_7) & $i(all_1571_8) & $i(all_1571_9) & % 236.91/38.29 | $i(all_1571_10) & $i(all_1571_11) & $i(all_1571_12) & $i(all_1571_13) % 236.91/38.29 | & $i(all_1571_14) & % 236.91/38.29 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1571_9, % 236.91/38.29 | all_1571_0) % 236.91/38.29 | % 236.91/38.29 | ALPHA: (848) implies: % 236.91/38.29 | (849) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1571_9, % 236.91/38.29 | all_1571_0) % 236.91/38.29 | (850) $i(all_1571_14) % 236.91/38.29 | (851) $i(all_1571_11) % 236.91/38.29 | (852) $i(all_1571_10) % 236.91/38.29 | (853) $i(all_1571_5) % 236.91/38.29 | (854) $i(all_1571_1) % 236.91/38.29 | (855) hAPP(v_f____, all_1571_14) = all_1571_13 % 236.91/38.29 | (856) hAPP(v_ga____, v_n____) = all_1571_14 % 236.91/38.29 | (857) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1571_10) = % 236.91/38.29 | all_1571_9 % 236.91/38.29 | (858) v_s(all_1571_13) = all_1571_12 % 236.91/38.29 | (859) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1571_8, % 236.91/38.29 | all_1571_7) = all_1571_6 % 236.91/38.29 | (860) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1571_4, % 236.91/38.29 | all_1571_3) = all_1571_2 % 236.91/38.29 | (861) c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, all_1571_12, % 236.91/38.29 | all_1571_11) = all_1571_10 % 236.91/38.29 | (862) c_Complex_Ocomplex_OComplex(v_x____, v_y____) = all_1571_11 % 236.91/38.29 | (863) c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1571_5, all_1571_1) % 236.91/38.29 | = all_1571_0 % 236.91/38.29 | (864) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1571_6) = all_1571_5 % 236.91/38.29 | (865) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1571_2) = all_1571_1 % 236.91/38.29 | (866) c_Complex_OIm(all_1571_12) = all_1571_4 % 236.91/38.29 | (867) c_Complex_OIm(all_1571_11) = all_1571_3 % 236.91/38.29 | (868) c_Complex_ORe(all_1571_12) = all_1571_8 % 236.91/38.29 | (869) c_Complex_ORe(all_1571_11) = all_1571_7 % 236.91/38.29 | % 236.91/38.29 | DELTA: instantiating (33) with fresh symbols all_1573_0, all_1573_1, % 236.91/38.29 | all_1573_2, all_1573_3, all_1573_4, all_1573_5, all_1573_6, all_1573_7, % 236.91/38.29 | all_1573_8, all_1573_9, all_1573_10, all_1573_11, all_1573_12, % 236.91/38.29 | all_1573_13, all_1573_14 gives: % 236.91/38.29 | (870) c_Int_OBit1(c_Int_OPls) = all_1573_4 & c_Int_OBit0(all_1573_4) = % 236.91/38.29 | all_1573_3 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, % 236.91/38.29 | all_1573_3) = all_1573_2 & % 236.91/38.29 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, % 236.91/38.29 | all_1573_2) = all_1573_1 & c_Complex_ORe(all_1573_12) = all_1573_11 % 236.91/38.29 | & c_Complex_OIm(all_1573_12) = all_1573_8 & % 236.91/38.29 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1573_7) = all_1573_6 % 236.91/38.29 | & c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1573_10) = % 236.91/38.29 | all_1573_9 & c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, % 236.91/38.29 | all_1573_1, all_1573_1) = all_1573_0 & % 236.91/38.29 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1573_9, all_1573_6) % 236.91/38.29 | = all_1573_5 & c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, % 236.91/38.29 | all_1573_8, v_y____) = all_1573_7 & % 236.91/38.29 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1573_11, v_x____) % 236.91/38.29 | = all_1573_10 & v_s(all_1573_13) = all_1573_12 & hAPP(v_ga____, % 236.91/38.29 | v_n____) = all_1573_14 & hAPP(v_f____, all_1573_14) = all_1573_13 & % 236.91/38.29 | $i(all_1573_0) & $i(all_1573_1) & $i(all_1573_2) & $i(all_1573_3) & % 236.91/38.29 | $i(all_1573_4) & $i(all_1573_5) & $i(all_1573_6) & $i(all_1573_7) & % 236.91/38.29 | $i(all_1573_8) & $i(all_1573_9) & $i(all_1573_10) & $i(all_1573_11) & % 236.91/38.29 | $i(all_1573_12) & $i(all_1573_13) & $i(all_1573_14) & % 236.91/38.29 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1573_5, % 236.91/38.29 | all_1573_0) % 236.91/38.29 | % 236.91/38.29 | ALPHA: (870) implies: % 236.91/38.29 | (871) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1573_5, % 236.91/38.29 | all_1573_0) % 236.91/38.29 | (872) $i(all_1573_12) % 236.91/38.29 | (873) $i(all_1573_9) % 236.91/38.29 | (874) $i(all_1573_6) % 236.91/38.29 | (875) hAPP(v_f____, all_1573_14) = all_1573_13 % 236.91/38.29 | (876) hAPP(v_ga____, v_n____) = all_1573_14 % 236.91/38.29 | (877) v_s(all_1573_13) = all_1573_12 % 236.91/38.29 | (878) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1573_11, v_x____) % 236.91/38.29 | = all_1573_10 % 236.91/38.29 | (879) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1573_8, v_y____) % 236.91/38.29 | = all_1573_7 % 236.91/38.29 | (880) c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1573_9, all_1573_6) % 236.91/38.29 | = all_1573_5 % 236.91/38.29 | (881) c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1573_1, all_1573_1) % 236.91/38.29 | = all_1573_0 % 236.91/38.29 | (882) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1573_10) = all_1573_9 % 236.91/38.29 | (883) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1573_7) = all_1573_6 % 236.91/38.29 | (884) c_Complex_OIm(all_1573_12) = all_1573_8 % 236.91/38.29 | (885) c_Complex_ORe(all_1573_12) = all_1573_11 % 236.91/38.29 | (886) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, % 236.91/38.29 | all_1573_2) = all_1573_1 % 236.91/38.29 | (887) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1573_3) = % 236.91/38.29 | all_1573_2 % 236.91/38.29 | (888) c_Int_OBit0(all_1573_4) = all_1573_3 % 236.91/38.29 | (889) c_Int_OBit1(c_Int_OPls) = all_1573_4 % 236.91/38.29 | % 236.91/38.29 | DELTA: instantiating (202) with fresh symbols all_1575_0, all_1575_1, % 236.91/38.29 | all_1575_2 gives: % 236.91/38.30 | (890) c_Int_OBit1(c_Int_OPls) = all_1575_2 & c_Int_OBit0(all_1575_2) = % 236.91/38.30 | all_1575_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, % 236.91/38.30 | all_1575_1) = all_1575_0 & $i(all_1575_0) & $i(all_1575_1) & % 236.91/38.30 | $i(all_1575_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 236.91/38.30 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! % 236.91/38.30 | [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ! [v12: $i] : % 236.91/38.30 | ( ~ (c_NthRoot_Osqrt(v10) = v11) | ~ (c_NthRoot_Osqrt(v6) = v7) | ~ % 236.91/38.30 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v3, all_1575_0) = % 236.91/38.30 | v4) | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v2, % 236.91/38.30 | all_1575_0) = v8) | ~ % 236.91/38.30 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v1, all_1575_0) = % 236.91/38.30 | v5) | ~ (c_Power_Opower__class_Opower(tc_RealDef_Oreal, v0, % 236.91/38.30 | all_1575_0) = v9) | ~ % 236.91/38.30 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v8, v9) = v10) | ~ % 236.91/38.30 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v7, v11) = v12) | ~ % 236.91/38.30 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v5) = v6) | ~ % 236.91/38.30 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v13: $i] : ? % 236.91/38.30 | [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: % 236.91/38.30 | $i] : (c_NthRoot_Osqrt(v17) = v18 & % 236.91/38.30 | c_Power_Opower__class_Opower(tc_RealDef_Oreal, v15, all_1575_0) = % 236.91/38.30 | v16 & c_Power_Opower__class_Opower(tc_RealDef_Oreal, v13, % 236.91/38.30 | all_1575_0) = v14 & % 236.91/38.30 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v14, v16) = v17 & % 236.91/38.30 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v2) = v13 & % 236.91/38.30 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v15 & % 236.91/38.30 | $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & % 236.91/38.30 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v18, v12))) % 236.91/38.30 | % 236.91/38.30 | ALPHA: (890) implies: % 236.91/38.30 | (891) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1575_1) = % 236.91/38.30 | all_1575_0 % 236.91/38.30 | (892) c_Int_OBit0(all_1575_2) = all_1575_1 % 236.91/38.30 | (893) c_Int_OBit1(c_Int_OPls) = all_1575_2 % 236.91/38.30 | % 236.91/38.30 | DELTA: instantiating (100) with fresh symbols all_1578_0, all_1578_1, % 236.91/38.30 | all_1578_2, all_1578_3, all_1578_4, all_1578_5 gives: % 236.91/38.30 | (894) c_Int_OBit1(c_Int_OPls) = all_1578_5 & c_Int_OBit0(all_1578_5) = % 236.91/38.30 | all_1578_4 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, % 236.91/38.30 | all_1578_4) = all_1578_3 & % 236.91/38.30 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, % 236.91/38.30 | all_1578_3) = all_1578_2 & $i(all_1578_0) & $i(all_1578_1) & % 236.91/38.30 | $i(all_1578_2) & $i(all_1578_3) & $i(all_1578_4) & $i(all_1578_5) & % 236.91/38.30 | ! [v0: $i] : ! [v1: $i] : ( ~ (hAPP(v_ga____, v0) = v1) | ~ $i(v0) % 236.91/38.30 | | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_1578_1, v0) % 236.91/38.30 | | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: % 236.91/38.30 | $i] : (c_Complex_OIm(v3) = v4 & % 236.91/38.30 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v5) = v6 & % 236.91/38.30 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v4, v_y____) = v5 % 236.91/38.30 | & v_s(v2) = v3 & hAPP(v_f____, v1) = v2 & $i(v6) & $i(v5) & % 236.91/38.30 | $i(v4) & $i(v3) & $i(v2) & % 236.91/38.30 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, all_1578_2))) % 236.91/38.30 | & ! [v0: $i] : ! [v1: $i] : ( ~ (hAPP(v_f____, v0) = v1) | ~ % 236.91/38.30 | $i(v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, % 236.91/38.30 | all_1578_0, v0) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? % 236.91/38.30 | [v5: $i] : (c_Complex_ORe(v2) = v3 & % 236.91/38.30 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v4) = v5 & % 236.91/38.30 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v3, v_x____) = v4 % 236.91/38.30 | & v_s(v1) = v2 & $i(v5) & $i(v4) & $i(v3) & $i(v2) & % 236.91/38.30 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5, all_1578_2))) % 236.91/38.30 | % 236.91/38.30 | ALPHA: (894) implies: % 236.91/38.30 | (895) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, % 236.91/38.30 | all_1578_3) = all_1578_2 % 236.91/38.30 | (896) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1578_4) = % 236.91/38.30 | all_1578_3 % 236.91/38.30 | (897) c_Int_OBit0(all_1578_5) = all_1578_4 % 236.91/38.30 | (898) c_Int_OBit1(c_Int_OPls) = all_1578_5 % 236.91/38.30 | % 236.91/38.30 | DELTA: instantiating (183) with fresh symbols all_1581_0, all_1581_1 gives: % 236.91/38.30 | (899) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1581_0 & % 236.91/38.30 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1581_1 & % 236.91/38.30 | $i(all_1581_0) & $i(all_1581_1) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 236.91/38.30 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~ % 236.91/38.30 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v3, v5) = v6) | ~ % 236.91/38.30 | (c_Int_OBit1(v0) = v2) | ~ (c_Int_OBit0(v1) = v4) | ~ % 236.91/38.30 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v4) = v5) | ~ % 236.91/38.30 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3) | ~ % 236.91/38.30 | $i(v1) | ~ $i(v0) | ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 236.91/38.30 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v7 & $i(v7) & % 236.91/38.30 | ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1581_1, % 236.91/38.30 | v7) | (v9 = v6 & c_Divides_Odiv__class_Odiv(tc_Int_Oint, v8, % 236.91/38.30 | v7) = v6 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, % 236.91/38.30 | v0) = v8 & $i(v8) & $i(v6))))) & ! [v0: $i] : ! [v1: $i] % 236.91/38.30 | : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ % 236.91/38.30 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v4, v2) = v5) | ~ % 236.91/38.30 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v2) | ~ % 236.91/38.30 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v3) | ~ % 236.91/38.30 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v3, all_1581_0) = v4) | % 236.91/38.30 | ~ $i(v1) | ~ $i(v0) | % 236.91/38.30 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1581_1, v2) | ? % 236.91/38.30 | [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : % 236.91/38.30 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v7, v9) = v5 & % 236.91/38.30 | c_Int_OBit1(v0) = v6 & c_Int_OBit0(v1) = v8 & % 236.91/38.30 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v8) = v9 & % 236.91/38.30 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v6) = v7 & $i(v9) & % 236.91/38.30 | $i(v8) & $i(v7) & $i(v6) & $i(v5))) % 236.91/38.30 | % 236.91/38.30 | ALPHA: (899) implies: % 236.91/38.30 | (900) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1581_1 % 236.91/38.30 | (901) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1581_0 % 236.91/38.30 | % 236.91/38.30 | DELTA: instantiating (169) with fresh symbol all_1587_0 gives: % 236.91/38.30 | (902) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1587_0 & % 236.91/38.30 | $i(all_1587_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = % 236.91/38.30 | all_1587_0 | ~ (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v1, v0) = % 236.91/38.30 | v2) | ~ $i(v1) | ~ $i(v0) | ~ % 236.91/38.30 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, all_1587_0) | ~ % 236.91/38.30 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1)) & ! [v0: $i] : % 236.91/38.30 | ! [v1: $i] : ! [v2: int] : (v2 = all_1587_0 | ~ % 236.91/38.30 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v1, v0) = v2) | ~ $i(v1) % 236.91/38.30 | | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, % 236.91/38.30 | all_1587_0, v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 236.91/38.30 | v1, v0)) & ! [v0: $i] : ! [v1: int] : (v1 = all_1587_0 | ~ % 236.91/38.30 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v0, all_1587_0) = v1) | ~ % 236.91/38.30 | $i(v0)) & ! [v0: any] : ! [v1: $i] : (v0 = all_1587_0 | ~ % 236.91/38.30 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v1, v0) = all_1587_0) | ~ % 236.91/38.30 | $i(v1) | ~ $i(v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, % 236.91/38.30 | v1, all_1587_0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, % 236.91/38.30 | all_1587_0, v1)) & ! [v0: any] : ! [v1: $i] : (v0 = all_1587_0 % 236.91/38.30 | | ~ (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v1, v0) = all_1587_0) % 236.91/38.30 | | ~ $i(v1) | ~ $i(v0) | % 236.91/38.30 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, all_1587_0) | % 236.91/38.30 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0)) & ! [v0: any] % 236.91/38.30 | : ! [v1: $i] : (v0 = all_1587_0 | ~ % 236.91/38.30 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v1, v0) = all_1587_0) | ~ % 236.91/38.30 | $i(v1) | ~ $i(v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, % 236.91/38.30 | all_1587_0, v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, % 236.91/38.30 | v1)) & ! [v0: any] : ! [v1: $i] : (v0 = all_1587_0 | ~ % 236.91/38.30 | (c_Divides_Odiv__class_Odiv(tc_Int_Oint, v1, v0) = all_1587_0) | ~ % 236.91/38.30 | $i(v1) | ~ $i(v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, % 236.91/38.30 | v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1)) % 236.91/38.30 | % 236.91/38.30 | ALPHA: (902) implies: % 236.91/38.30 | (903) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1587_0 % 236.91/38.30 | % 236.91/38.30 | DELTA: instantiating (6) with fresh symbol all_1590_0 gives: % 236.91/38.30 | (904) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1590_0 & % 236.91/38.30 | $i(all_1590_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 236.91/38.30 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~ % 236.91/38.30 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v5) = v1) | ~ % 236.91/38.30 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v3) | ~ % 236.91/38.30 | (hAPP(v2, v3) = v4) | ~ $i(v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) % 236.91/38.30 | | ~ hBOOL(v4) | ? [v6: $i] : (hAPP(v2, v5) = v6 & $i(v6) & % 236.91/38.30 | hBOOL(v6))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 236.91/38.30 | $i] : ! [v4: $i] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, % 236.91/38.30 | v1, v0) = v3) | ~ (hAPP(v2, v3) = v4) | ~ $i(v2) | ~ $i(v1) % 236.91/38.30 | | ~ $i(v0) | ~ hBOOL(v4) | ~ % 236.91/38.30 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | ? [v5: $i] : % 236.91/38.30 | (hAPP(v2, all_1590_0) = v5 & $i(v5) & hBOOL(v5))) & ! [v0: $i] : % 236.91/38.30 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 236.91/38.30 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v3) | ~ % 236.91/38.30 | (hAPP(v2, v3) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | hBOOL(v4) % 236.91/38.30 | | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | ? [v5: $i] % 236.91/38.30 | : ? [v6: $i] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v5) = % 236.91/38.30 | v1 & hAPP(v2, v5) = v6 & $i(v6) & $i(v5) & ~ hBOOL(v6))) & ! % 236.91/38.30 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( % 236.91/38.30 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v3) | ~ % 236.91/38.30 | (hAPP(v2, v3) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | hBOOL(v4) % 236.91/38.30 | | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ($i(v6) & % 236.91/38.30 | ((v7 = v1 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v6) = v1 % 236.91/38.30 | & hAPP(v2, v6) = v8 & $i(v8) & ~ hBOOL(v8)) | (hAPP(v2, % 236.91/38.30 | all_1590_0) = v5 & $i(v5) & ~ hBOOL(v5))))) % 236.91/38.30 | % 236.91/38.30 | ALPHA: (904) implies: % 236.91/38.30 | (905) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1590_0 % 236.91/38.30 | % 236.91/38.30 | DELTA: instantiating (6) with fresh symbol all_1593_0 gives: % 236.91/38.30 | (906) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1593_0 & % 236.91/38.30 | $i(all_1593_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 236.91/38.30 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~ % 236.91/38.30 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v5) = v1) | ~ % 236.91/38.30 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v3) | ~ % 236.91/38.30 | (hAPP(v2, v3) = v4) | ~ $i(v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) % 236.91/38.30 | | ~ hBOOL(v4) | ? [v6: $i] : (hAPP(v2, v5) = v6 & $i(v6) & % 236.91/38.30 | hBOOL(v6))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 236.91/38.30 | $i] : ! [v4: $i] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, % 236.91/38.30 | v1, v0) = v3) | ~ (hAPP(v2, v3) = v4) | ~ $i(v2) | ~ $i(v1) % 236.91/38.30 | | ~ $i(v0) | ~ hBOOL(v4) | ~ % 236.91/38.30 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | ? [v5: $i] : % 236.91/38.30 | (hAPP(v2, all_1593_0) = v5 & $i(v5) & hBOOL(v5))) & ! [v0: $i] : % 236.91/38.30 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 236.91/38.30 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v3) | ~ % 236.91/38.30 | (hAPP(v2, v3) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | hBOOL(v4) % 236.91/38.30 | | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | ? [v5: $i] % 236.91/38.30 | : ? [v6: $i] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v5) = % 236.91/38.30 | v1 & hAPP(v2, v5) = v6 & $i(v6) & $i(v5) & ~ hBOOL(v6))) & ! % 236.91/38.30 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( % 236.91/38.30 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v3) | ~ % 236.91/38.30 | (hAPP(v2, v3) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | hBOOL(v4) % 236.91/38.30 | | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ($i(v6) & % 236.91/38.30 | ((v7 = v1 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v6) = v1 % 236.91/38.30 | & hAPP(v2, v6) = v8 & $i(v8) & ~ hBOOL(v8)) | (hAPP(v2, % 236.91/38.30 | all_1593_0) = v5 & $i(v5) & ~ hBOOL(v5))))) % 236.91/38.30 | % 236.91/38.30 | ALPHA: (906) implies: % 236.91/38.30 | (907) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1593_0 % 236.91/38.30 | % 236.91/38.30 | DELTA: instantiating (116) with fresh symbol all_1596_0 gives: % 236.91/38.30 | (908) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1596_0 & % 236.91/38.30 | $i(all_1596_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ! [v3: % 236.91/38.30 | $i] : (v2 = all_1596_0 | ~ % 236.91/38.30 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v2) | ~ % 236.91/38.30 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v3) | ~ % 236.91/38.30 | $i(v1) | ~ $i(v0) | ~ c_Nat__Numeral_Oneg(v3) | % 236.91/38.30 | c_Nat__Numeral_Oneg(v2) | ? [v4: $i] : ? [v5: $i] : ( ~ (v5 = v4) % 236.91/38.30 | & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v4 & % 236.91/38.30 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v5 & $i(v5) & % 236.91/38.30 | $i(v4))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] % 236.91/38.30 | : (v1 = v0 | ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = % 236.91/38.30 | v2) | ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v3) % 236.91/38.30 | | ~ $i(v1) | ~ $i(v0) | c_Nat__Numeral_Oneg(v3) | % 236.91/38.30 | c_Nat__Numeral_Oneg(v2) | ? [v4: $i] : ? [v5: $i] : ( ~ (v5 = v4) % 236.91/38.30 | & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v4 & % 236.91/38.30 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v5 & $i(v5) & % 236.91/38.30 | $i(v4))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] % 236.91/38.30 | : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v2) | ~ % 236.91/38.30 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v3) | ~ % 236.91/38.30 | $i(v1) | ~ $i(v0) | ~ c_Nat__Numeral_Oneg(v2) | ~ % 236.91/38.30 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, all_1596_0) | ? % 236.91/38.30 | [v4: $i] : (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v4 % 236.91/38.30 | & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v4 & % 236.91/38.30 | $i(v4))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] % 236.91/38.30 | : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v2) | ~ % 236.91/38.30 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v3) | ~ % 236.91/38.30 | $i(v1) | ~ $i(v0) | ~ c_Nat__Numeral_Oneg(v2) | % 236.91/38.30 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, all_1596_0) | ? % 236.91/38.30 | [v4: $i] : ? [v5: $i] : ( ~ (v5 = v4) & % 236.91/38.30 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v4 & % 236.91/38.30 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v5 & $i(v5) & % 236.91/38.30 | $i(v4))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.91/38.30 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = all_1596_0) | % 236.91/38.30 | ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v2) | ~ % 236.91/38.30 | $i(v1) | ~ $i(v0) | ~ c_Nat__Numeral_Oneg(v2) | ~ % 236.91/38.30 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, all_1596_0) | ? % 236.91/38.30 | [v3: $i] : (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v3 % 236.91/38.30 | & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v3 & % 236.91/38.30 | $i(v3))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 236.91/38.30 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = all_1596_0) | % 236.91/38.30 | ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v2) | ~ % 236.91/38.30 | $i(v1) | ~ $i(v0) | ~ c_Nat__Numeral_Oneg(v2) | % 236.91/38.30 | c_Nat__Numeral_Oneg(all_1596_0) | ? [v3: $i] : % 236.91/38.30 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v3 & % 236.91/38.30 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v3 & $i(v3))) % 236.91/38.30 | & ! [v0: $i] : ! [v1: $i] : ( ~ % 236.91/38.30 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v1) | ~ % 236.91/38.30 | $i(v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, % 236.91/38.30 | all_1596_0) | c_Nat__Numeral_Oneg(v1) | ? [v2: $i] : % 236.91/38.30 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v2 & $i(v2))) % 236.91/38.30 | & ! [v0: $i] : ! [v1: $i] : ( ~ % 236.91/38.30 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v1) | ~ % 236.91/38.30 | $i(v0) | c_Nat__Numeral_Oneg(v1) | ? [v2: $i] : % 236.91/38.30 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v2 & $i(v2))) % 236.91/38.30 | & ! [v0: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, % 236.91/38.30 | v0) = all_1596_0) | ~ $i(v0) | ~ % 236.91/38.30 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1596_0, % 236.91/38.30 | all_1596_0) | ? [v1: $i] : % 236.91/38.30 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v1 & $i(v1))) % 236.91/38.30 | & ! [v0: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, % 236.91/38.30 | v0) = all_1596_0) | ~ $i(v0) | c_Nat__Numeral_Oneg(all_1596_0) % 236.91/38.30 | | ? [v1: $i] : (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) % 236.91/38.30 | = v1 & $i(v1))) % 236.91/38.30 | % 236.91/38.30 | ALPHA: (908) implies: % 236.91/38.30 | (909) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1596_0 % 236.91/38.30 | % 236.91/38.30 | GROUND_INST: instantiating (246) with all_1571_14, all_1573_14, v_n____, % 236.91/38.30 | v_ga____, simplifying with (856), (876) gives: % 236.91/38.31 | (910) all_1573_14 = all_1571_14 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (246) with all_692_0, all_1573_14, v_n____, % 236.91/38.31 | v_ga____, simplifying with (280), (876) gives: % 236.91/38.31 | (911) all_1573_14 = all_692_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_701_0, all_704_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (284), (286) gives: % 236.91/38.31 | (912) all_704_0 = all_701_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_746_0, all_748_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (315), (317) gives: % 236.91/38.31 | (913) all_748_0 = all_746_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_748_0, all_762_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (317), (323) gives: % 236.91/38.31 | (914) all_762_0 = all_748_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_737_1, all_769_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (305), (325) gives: % 236.91/38.31 | (915) all_769_0 = all_737_1 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_759_0, all_771_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (321), (327) gives: % 236.91/38.31 | (916) all_771_0 = all_759_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_769_0, all_789_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (325), (332) gives: % 236.91/38.31 | (917) all_789_0 = all_769_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_762_0, all_794_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (323), (334) gives: % 236.91/38.31 | (918) all_794_0 = all_762_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_789_0, all_823_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (332), (348) gives: % 236.91/38.31 | (919) all_823_0 = all_789_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_771_0, all_837_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (327), (354) gives: % 236.91/38.31 | (920) all_837_0 = all_771_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_718_0, all_837_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (292), (354) gives: % 236.91/38.31 | (921) all_837_0 = all_718_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_831_0, all_840_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (350), (356) gives: % 236.91/38.31 | (922) all_840_0 = all_831_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_831_0, all_847_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (350), (358) gives: % 236.91/38.31 | (923) all_847_0 = all_831_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_809_0, all_847_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (338), (358) gives: % 236.91/38.31 | (924) all_847_0 = all_809_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_794_0, all_847_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (334), (358) gives: % 236.91/38.31 | (925) all_847_0 = all_794_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_823_0, all_852_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (348), (362) gives: % 236.91/38.31 | (926) all_852_0 = all_823_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_852_0, all_872_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (362), (364) gives: % 236.91/38.31 | (927) all_872_0 = all_852_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_872_0, all_875_2, tc_Nat_Onat, % 236.91/38.31 | simplifying with (364), (366) gives: % 236.91/38.31 | (928) all_875_2 = all_872_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_875_2, all_899_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (366), (375) gives: % 236.91/38.31 | (929) all_899_0 = all_875_2 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_899_0, all_956_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (375), (391) gives: % 236.91/38.31 | (930) all_956_0 = all_899_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_956_0, all_974_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (391), (402) gives: % 236.91/38.31 | (931) all_974_0 = all_956_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_840_0, all_992_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (356), (415) gives: % 236.91/38.31 | (932) all_992_0 = all_840_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_974_0, all_1001_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (402), (419) gives: % 236.91/38.31 | (933) all_1001_0 = all_974_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_992_0, all_1021_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (415), (434) gives: % 236.91/38.31 | (934) all_1021_0 = all_992_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_992_0, all_1027_3, tc_Nat_Onat, % 236.91/38.31 | simplifying with (415), (439) gives: % 236.91/38.31 | (935) all_1027_3 = all_992_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_1027_3, all_1058_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (439), (466) gives: % 236.91/38.31 | (936) all_1058_0 = all_1027_3 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_704_0, all_1071_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (286), (473) gives: % 236.91/38.31 | (937) all_1071_0 = all_704_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_1042_0, all_1089_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (462), (482) gives: % 236.91/38.31 | (938) all_1089_0 = all_1042_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_759_0, all_1092_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (321), (484) gives: % 236.91/38.31 | (939) all_1092_0 = all_759_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_737_1, all_1092_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (305), (484) gives: % 236.91/38.31 | (940) all_1092_0 = all_737_1 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_704_0, all_1092_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (286), (484) gives: % 236.91/38.31 | (941) all_1092_0 = all_704_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_1021_0, all_1116_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (434), (492) gives: % 236.91/38.31 | (942) all_1116_0 = all_1021_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_1058_0, all_1160_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (466), (530) gives: % 236.91/38.31 | (943) all_1160_0 = all_1058_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_710_0, all_1160_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (288), (530) gives: % 236.91/38.31 | (944) all_1160_0 = all_710_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_1089_0, all_1190_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (482), (551) gives: % 236.91/38.31 | (945) all_1190_0 = all_1089_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_1116_0, all_1211_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (492), (565) gives: % 236.91/38.31 | (946) all_1211_0 = all_1116_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_1211_0, all_1216_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (565), (567) gives: % 236.91/38.31 | (947) all_1216_0 = all_1211_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_1216_0, all_1230_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (567), (571) gives: % 236.91/38.31 | (948) all_1230_0 = all_1216_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_1230_0, all_1307_3, tc_Nat_Onat, % 236.91/38.31 | simplifying with (571), (630) gives: % 236.91/38.31 | (949) all_1307_3 = all_1230_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_1307_3, all_1343_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (630), (658) gives: % 236.91/38.31 | (950) all_1343_0 = all_1307_3 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_1343_0, all_1358_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (658), (674) gives: % 236.91/38.31 | (951) all_1358_0 = all_1343_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_1358_0, all_1370_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (674), (684) gives: % 236.91/38.31 | (952) all_1370_0 = all_1358_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_1370_0, all_1382_4, tc_Nat_Onat, % 236.91/38.31 | simplifying with (684), (692) gives: % 236.91/38.31 | (953) all_1382_4 = all_1370_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_1382_4, all_1397_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (692), (712) gives: % 236.91/38.31 | (954) all_1397_0 = all_1382_4 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_1160_0, all_1412_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (530), (720) gives: % 236.91/38.31 | (955) all_1412_0 = all_1160_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_1397_0, all_1421_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (712), (730) gives: % 236.91/38.31 | (956) all_1421_0 = all_1397_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_944_0, all_1421_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (385), (730) gives: % 236.91/38.31 | (957) all_1421_0 = all_944_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_704_0, all_1457_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (286), (760) gives: % 236.91/38.31 | (958) all_1457_0 = all_704_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_672_0, all_1457_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (266), (760) gives: % 236.91/38.31 | (959) all_1457_0 = all_672_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_1071_0, all_1463_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (473), (766) gives: % 236.91/38.31 | (960) all_1463_0 = all_1071_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_1412_0, all_1472_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (720), (772) gives: % 236.91/38.31 | (961) all_1472_0 = all_1412_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_1101_0, all_1472_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (486), (772) gives: % 236.91/38.31 | (962) all_1472_0 = all_1101_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_1190_0, all_1475_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (551), (774) gives: % 236.91/38.31 | (963) all_1475_0 = all_1190_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_696_0, all_1475_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (282), (774) gives: % 236.91/38.31 | (964) all_1475_0 = all_696_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_1042_0, all_1493_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (462), (780) gives: % 236.91/38.31 | (965) all_1493_0 = all_1042_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_1024_0, all_1493_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (436), (780) gives: % 236.91/38.31 | (966) all_1493_0 = all_1024_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_1001_0, all_1493_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (419), (780) gives: % 236.91/38.31 | (967) all_1493_0 = all_1001_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_1092_0, all_1496_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (484), (782) gives: % 236.91/38.31 | (968) all_1496_0 = all_1092_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_1496_0, all_1502_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (782), (785) gives: % 236.91/38.31 | (969) all_1502_0 = all_1496_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_1463_0, all_1511_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (766), (793) gives: % 236.91/38.31 | (970) all_1511_0 = all_1463_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_662_0, all_1511_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (261), (793) gives: % 236.91/38.31 | (971) all_1511_0 = all_662_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_1007_0, all_1590_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (423), (905) gives: % 236.91/38.31 | (972) all_1590_0 = all_1007_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_759_0, all_1590_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (321), (905) gives: % 236.91/38.31 | (973) all_1590_0 = all_759_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_746_0, all_1590_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (315), (905) gives: % 236.91/38.31 | (974) all_1590_0 = all_746_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_729_0, all_1590_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (299), (905) gives: % 236.91/38.31 | (975) all_1590_0 = all_729_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_1502_0, all_1593_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (785), (907) gives: % 236.91/38.31 | (976) all_1593_0 = all_1502_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_712_0, all_1593_0, tc_Nat_Onat, % 236.91/38.31 | simplifying with (290), (907) gives: % 236.91/38.31 | (977) all_1593_0 = all_712_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_734_0, all_739_1, tc_Int_Oint, % 236.91/38.31 | simplifying with (303), (307) gives: % 236.91/38.31 | (978) all_739_1 = all_734_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_739_1, all_816_0, tc_Int_Oint, % 236.91/38.31 | simplifying with (307), (340) gives: % 236.91/38.31 | (979) all_816_0 = all_739_1 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_732_1, all_816_0, tc_Int_Oint, % 236.91/38.31 | simplifying with (301), (340) gives: % 236.91/38.31 | (980) all_816_0 = all_732_1 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_741_0, all_896_0, tc_Int_Oint, % 236.91/38.31 | simplifying with (310), (372) gives: % 236.91/38.31 | (981) all_896_0 = all_741_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_816_0, all_950_0, tc_Int_Oint, % 236.91/38.31 | simplifying with (340), (387) gives: % 236.91/38.31 | (982) all_950_0 = all_816_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_741_0, all_950_0, tc_Int_Oint, % 236.91/38.31 | simplifying with (310), (387) gives: % 236.91/38.31 | (983) all_950_0 = all_741_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_725_1, all_971_1, tc_Int_Oint, % 236.91/38.31 | simplifying with (296), (399) gives: % 236.91/38.31 | (984) all_971_1 = all_725_1 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_891_0, all_977_0, tc_Int_Oint, % 236.91/38.31 | simplifying with (370), (404) gives: % 236.91/38.31 | (985) all_977_0 = all_891_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_968_0, all_980_0, tc_Int_Oint, % 236.91/38.31 | simplifying with (397), (406) gives: % 236.91/38.31 | (986) all_980_0 = all_968_0 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_971_1, all_983_1, tc_Int_Oint, % 236.91/38.31 | simplifying with (399), (408) gives: % 236.91/38.31 | (987) all_983_1 = all_971_1 % 236.91/38.31 | % 236.91/38.31 | GROUND_INST: instantiating (239) with all_950_0, all_983_1, tc_Int_Oint, % 236.91/38.31 | simplifying with (387), (408) gives: % 236.91/38.31 | (988) all_983_1 = all_950_0 % 236.91/38.31 | % 236.91/38.32 | GROUND_INST: instantiating (239) with all_980_0, all_986_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (406), (411) gives: % 236.91/38.32 | (989) all_986_0 = all_980_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (239) with all_977_0, all_995_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (404), (417) gives: % 236.91/38.32 | (990) all_995_0 = all_977_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (239) with all_891_0, all_1004_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (370), (421) gives: % 236.91/38.32 | (991) all_1004_0 = all_891_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (239) with all_686_0, all_1004_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (277), (421) gives: % 236.91/38.32 | (992) all_1004_0 = all_686_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (239) with all_983_1, all_1040_3, tc_Int_Oint, % 236.91/38.32 | simplifying with (408), (458) gives: % 236.91/38.32 | (993) all_1040_3 = all_983_1 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (239) with all_962_0, all_1040_3, tc_Int_Oint, % 236.91/38.32 | simplifying with (395), (458) gives: % 236.91/38.32 | (994) all_1040_3 = all_962_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (239) with all_989_0, all_1074_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (413), (475) gives: % 236.91/38.32 | (995) all_1074_0 = all_989_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (239) with all_968_0, all_1074_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (397), (475) gives: % 236.91/38.32 | (996) all_1074_0 = all_968_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (239) with all_959_0, all_1074_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (393), (475) gives: % 236.91/38.32 | (997) all_1074_0 = all_959_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (239) with all_896_0, all_1074_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (372), (475) gives: % 236.91/38.32 | (998) all_1074_0 = all_896_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (239) with all_986_0, all_1077_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (411), (478) gives: % 236.91/38.32 | (999) all_1077_0 = all_986_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (239) with all_1077_0, all_1110_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (478), (488) gives: % 236.91/38.32 | (1000) all_1110_0 = all_1077_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (239) with all_739_1, all_1113_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (307), (490) gives: % 236.91/38.32 | (1001) all_1113_0 = all_739_1 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (239) with all_1110_0, all_1119_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (488), (494) gives: % 236.91/38.32 | (1002) all_1119_0 = all_1110_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (239) with all_1119_0, all_1122_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (494), (497) gives: % 236.91/38.32 | (1003) all_1122_0 = all_1119_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (239) with all_1122_0, all_1125_1, tc_Int_Oint, % 236.91/38.32 | simplifying with (497), (499) gives: % 236.91/38.32 | (1004) all_1125_1 = all_1122_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (239) with all_995_0, all_1148_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (417), (513) gives: % 236.91/38.32 | (1005) all_1148_0 = all_995_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (239) with all_1148_0, all_1151_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (513), (515) gives: % 236.91/38.32 | (1006) all_1151_0 = all_1148_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (239) with all_1004_0, all_1224_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (421), (569) gives: % 236.91/38.32 | (1007) all_1224_0 = all_1004_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (239) with all_741_0, all_1224_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (310), (569) gives: % 236.91/38.32 | (1008) all_1224_0 = all_741_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (239) with all_676_0, all_1224_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (272), (569) gives: % 236.91/38.32 | (1009) all_1224_0 = all_676_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (239) with all_1113_0, all_1260_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (490), (593) gives: % 236.91/38.32 | (1010) all_1260_0 = all_1113_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (239) with all_1287_0, all_1295_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (617), (620) gives: % 236.91/38.32 | (1011) all_1295_0 = all_1287_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (239) with all_1148_0, all_1295_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (513), (620) gives: % 236.91/38.32 | (1012) all_1295_0 = all_1148_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (239) with all_1032_3, all_1295_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (445), (620) gives: % 236.91/38.32 | (1013) all_1295_0 = all_1032_3 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (239) with all_1151_0, all_1313_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (515), (639) gives: % 236.91/38.32 | (1014) all_1313_0 = all_1151_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (239) with all_1313_0, all_1316_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (639), (641) gives: % 236.91/38.32 | (1015) all_1316_0 = all_1313_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (239) with all_1113_0, all_1337_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (490), (656) gives: % 236.91/38.32 | (1016) all_1337_0 = all_1113_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (239) with all_1086_0, all_1337_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (480), (656) gives: % 236.91/38.32 | (1017) all_1337_0 = all_1086_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (239) with all_1316_0, all_1361_4, tc_Int_Oint, % 236.91/38.32 | simplifying with (641), (676) gives: % 236.91/38.32 | (1018) all_1361_4 = all_1316_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (239) with all_1361_4, all_1379_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (676), (690) gives: % 236.91/38.32 | (1019) all_1379_0 = all_1361_4 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (239) with all_1379_0, all_1496_1, tc_Int_Oint, % 236.91/38.32 | simplifying with (690), (783) gives: % 236.91/38.32 | (1020) all_1496_1 = all_1379_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (239) with all_1113_0, all_1529_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (490), (808) gives: % 236.91/38.32 | (1021) all_1529_0 = all_1113_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (239) with all_953_0, all_1529_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (389), (808) gives: % 236.91/38.32 | (1022) all_1529_0 = all_953_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (239) with all_877_0, all_1529_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (368), (808) gives: % 236.91/38.32 | (1023) all_1529_0 = all_877_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (239) with all_1260_0, all_1535_4, tc_Int_Oint, % 236.91/38.32 | simplifying with (593), (814) gives: % 236.91/38.32 | (1024) all_1535_4 = all_1260_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (239) with all_744_1, all_1535_4, tc_Int_Oint, % 236.91/38.32 | simplifying with (312), (814) gives: % 236.91/38.32 | (1025) all_1535_4 = all_744_1 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (239) with all_953_0, all_1581_1, tc_Int_Oint, % 236.91/38.32 | simplifying with (389), (900) gives: % 236.91/38.32 | (1026) all_1581_1 = all_953_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (239) with c_Int_OPls, all_1581_1, tc_Int_Oint, % 236.91/38.32 | simplifying with (50), (900) gives: % 236.91/38.32 | (1027) all_1581_1 = c_Int_OPls % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (239) with all_1334_0, all_1587_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (654), (903) gives: % 236.91/38.32 | (1028) all_1587_0 = all_1334_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (239) with all_1125_1, all_1587_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (499), (903) gives: % 236.91/38.32 | (1029) all_1587_0 = all_1125_1 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (239) with all_674_0, all_1587_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (270), (903) gives: % 236.91/38.32 | (1030) all_1587_0 = all_674_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (239) with all_1496_1, all_1596_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (783), (909) gives: % 236.91/38.32 | (1031) all_1596_0 = all_1496_1 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (239) with all_652_0, all_1596_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (257), (909) gives: % 236.91/38.32 | (1032) all_1596_0 = all_652_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (254) with all_656_0, all_1247_5, v_ga____, % 236.91/38.32 | v_f____, tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat, simplifying with % 236.91/38.32 | (259), (581) gives: % 236.91/38.32 | (1033) all_1247_5 = all_656_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (248) with all_1247_2, all_1571_11, v_y____, % 236.91/38.32 | v_x____, simplifying with (585), (862) gives: % 236.91/38.32 | (1034) all_1571_11 = all_1247_2 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (243) with all_670_0, all_725_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (264), (297) gives: % 236.91/38.32 | (1035) all_725_0 = all_670_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (243) with all_744_0, all_756_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (313), (319) gives: % 236.91/38.32 | (1036) all_756_0 = all_744_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (243) with all_725_0, all_756_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (297), (319) gives: % 236.91/38.32 | (1037) all_756_0 = all_725_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (243) with all_834_0, all_849_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (352), (360) gives: % 236.91/38.32 | (1038) all_849_0 = all_834_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (243) with all_834_0, all_896_1, tc_Int_Oint, % 236.91/38.32 | simplifying with (352), (373) gives: % 236.91/38.32 | (1039) all_896_1 = all_834_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (243) with all_756_0, all_896_1, tc_Int_Oint, % 236.91/38.32 | simplifying with (319), (373) gives: % 236.91/38.32 | (1040) all_896_1 = all_756_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (243) with all_896_1, all_905_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (373), (377) gives: % 236.91/38.32 | (1041) all_905_0 = all_896_1 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (243) with all_927_0, all_971_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (381), (400) gives: % 236.91/38.32 | (1042) all_971_0 = all_927_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (243) with all_849_0, all_971_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (360), (400) gives: % 236.91/38.32 | (1043) all_971_0 = all_849_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (243) with all_756_0, all_983_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (319), (409) gives: % 236.91/38.32 | (1044) all_983_0 = all_756_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (243) with all_739_0, all_983_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (308), (409) gives: % 236.91/38.32 | (1045) all_983_0 = all_739_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (243) with all_905_0, all_1074_1, tc_Int_Oint, % 236.91/38.32 | simplifying with (377), (476) gives: % 236.91/38.32 | (1046) all_1074_1 = all_905_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (243) with all_1074_1, all_1119_1, tc_Int_Oint, % 236.91/38.32 | simplifying with (476), (495) gives: % 236.91/38.32 | (1047) all_1119_1 = all_1074_1 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (243) with all_971_0, all_1125_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (400), (500) gives: % 236.91/38.32 | (1048) all_1125_0 = all_971_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (243) with all_1119_1, all_1134_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (495), (502) gives: % 236.91/38.32 | (1049) all_1134_0 = all_1119_1 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (243) with all_1134_0, all_1199_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (502), (555) gives: % 236.91/38.32 | (1050) all_1199_0 = all_1134_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (243) with all_1199_0, all_1287_1, tc_Int_Oint, % 236.91/38.32 | simplifying with (555), (618) gives: % 236.91/38.32 | (1051) all_1287_1 = all_1199_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (243) with all_1233_0, all_1361_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (573), (677) gives: % 236.91/38.32 | (1052) all_1361_0 = all_1233_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (243) with all_1193_0, all_1361_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (553), (677) gives: % 236.91/38.32 | (1053) all_1361_0 = all_1193_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (243) with all_1125_0, all_1361_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (500), (677) gives: % 236.91/38.32 | (1054) all_1361_0 = all_1125_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (243) with all_721_0, all_1361_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (294), (677) gives: % 236.91/38.32 | (1055) all_1361_0 = all_721_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (243) with all_1287_1, all_1406_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (618), (718) gives: % 236.91/38.32 | (1056) all_1406_0 = all_1287_1 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (243) with all_1406_0, all_1535_3, tc_Int_Oint, % 236.91/38.32 | simplifying with (718), (815) gives: % 236.91/38.32 | (1057) all_1535_3 = all_1406_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (243) with all_1535_3, all_1581_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (815), (901) gives: % 236.91/38.32 | (1058) all_1581_0 = all_1535_3 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (243) with all_821_1, all_1581_0, tc_Int_Oint, % 236.91/38.32 | simplifying with (344), (901) gives: % 236.91/38.32 | (1059) all_1581_0 = all_821_1 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (245) with all_821_0, all_908_0, c_Int_OPls, % 236.91/38.32 | simplifying with (346), (379) gives: % 236.91/38.32 | (1060) all_908_0 = all_821_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (245) with all_1010_2, all_1016_1, c_Int_OPls, % 236.91/38.32 | simplifying with (427), (432) gives: % 236.91/38.32 | (1061) all_1016_1 = all_1010_2 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (245) with all_1016_1, all_1027_2, c_Int_OPls, % 236.91/38.32 | simplifying with (432), (442) gives: % 236.91/38.32 | (1062) all_1027_2 = all_1016_1 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (245) with all_821_0, all_1032_2, c_Int_OPls, % 236.91/38.32 | simplifying with (346), (448) gives: % 236.91/38.32 | (1063) all_1032_2 = all_821_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (245) with all_1027_2, all_1065_2, c_Int_OPls, % 236.91/38.32 | simplifying with (442), (470) gives: % 236.91/38.32 | (1064) all_1065_2 = all_1027_2 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (245) with all_821_0, all_1145_2, c_Int_OPls, % 236.91/38.32 | simplifying with (346), (511) gives: % 236.91/38.32 | (1065) all_1145_2 = all_821_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (245) with all_1145_2, all_1154_3, c_Int_OPls, % 236.91/38.32 | simplifying with (511), (519) gives: % 236.91/38.32 | (1066) all_1154_3 = all_1145_2 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (245) with all_1145_2, all_1156_3, c_Int_OPls, % 236.91/38.32 | simplifying with (511), (523) gives: % 236.91/38.32 | (1067) all_1156_3 = all_1145_2 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (245) with all_1154_3, all_1175_2, c_Int_OPls, % 236.91/38.32 | simplifying with (519), (545) gives: % 236.91/38.32 | (1068) all_1175_2 = all_1154_3 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (245) with all_1145_2, all_1178_2, c_Int_OPls, % 236.91/38.32 | simplifying with (511), (549) gives: % 236.91/38.32 | (1069) all_1178_2 = all_1145_2 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (245) with all_1236_1, all_1257_2, c_Int_OPls, % 236.91/38.32 | simplifying with (576), (591) gives: % 236.91/38.32 | (1070) all_1257_2 = all_1236_1 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (245) with all_1257_2, all_1263_2, c_Int_OPls, % 236.91/38.32 | simplifying with (591), (597) gives: % 236.91/38.32 | (1071) all_1263_2 = all_1257_2 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (245) with all_1143_3, all_1275_2, c_Int_OPls, % 236.91/38.32 | simplifying with (507), (611) gives: % 236.91/38.32 | (1072) all_1275_2 = all_1143_3 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (245) with all_1263_2, all_1307_2, c_Int_OPls, % 236.91/38.32 | simplifying with (597), (633) gives: % 236.91/38.32 | (1073) all_1307_2 = all_1263_2 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (245) with all_1275_2, all_1346_0, c_Int_OPls, % 236.91/38.32 | simplifying with (611), (660) gives: % 236.91/38.32 | (1074) all_1346_0 = all_1275_2 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (245) with all_1054_0, all_1346_0, c_Int_OPls, % 236.91/38.32 | simplifying with (464), (660) gives: % 236.91/38.32 | (1075) all_1346_0 = all_1054_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (245) with all_821_0, all_1349_2, c_Int_OPls, % 236.91/38.32 | simplifying with (346), (664) gives: % 236.91/38.32 | (1076) all_1349_2 = all_821_0 % 236.91/38.32 | % 236.91/38.32 | GROUND_INST: instantiating (245) with all_1310_3, all_1361_3, c_Int_OPls, % 236.91/38.32 | simplifying with (637), (680) gives: % 236.91/38.32 | (1077) all_1361_3 = all_1310_3 % 236.91/38.32 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1307_2, all_1367_0, c_Int_OPls, % 236.91/38.33 | simplifying with (633), (682) gives: % 236.91/38.33 | (1078) all_1367_0 = all_1307_2 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1328_3, all_1376_0, c_Int_OPls, % 236.91/38.33 | simplifying with (648), (688) gives: % 236.91/38.33 | (1079) all_1376_0 = all_1328_3 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1175_2, all_1376_0, c_Int_OPls, % 236.91/38.33 | simplifying with (545), (688) gives: % 236.91/38.33 | (1080) all_1376_0 = all_1175_2 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1331_2, all_1382_2, c_Int_OPls, % 236.91/38.33 | simplifying with (652), (695) gives: % 236.91/38.33 | (1081) all_1382_2 = all_1331_2 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1349_2, all_1385_1, c_Int_OPls, % 236.91/38.33 | simplifying with (664), (698) gives: % 236.91/38.33 | (1082) all_1385_1 = all_1349_2 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1373_0, all_1391_2, c_Int_OPls, % 236.91/38.33 | simplifying with (686), (706) gives: % 236.91/38.33 | (1083) all_1391_2 = all_1373_0 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1275_2, all_1391_2, c_Int_OPls, % 236.91/38.33 | simplifying with (611), (706) gives: % 236.91/38.33 | (1084) all_1391_2 = all_1275_2 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1010_2, all_1391_2, c_Int_OPls, % 236.91/38.33 | simplifying with (427), (706) gives: % 236.91/38.33 | (1085) all_1391_2 = all_1010_2 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_908_0, all_1391_2, c_Int_OPls, % 236.91/38.33 | simplifying with (379), (706) gives: % 236.91/38.33 | (1086) all_1391_2 = all_908_0 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1328_3, all_1394_2, c_Int_OPls, % 236.91/38.33 | simplifying with (648), (710) gives: % 236.91/38.33 | (1087) all_1394_2 = all_1328_3 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1037_0, all_1394_2, c_Int_OPls, % 236.91/38.33 | simplifying with (454), (710) gives: % 236.91/38.33 | (1088) all_1394_2 = all_1037_0 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1385_1, all_1415_2, c_Int_OPls, % 236.91/38.33 | simplifying with (698), (724) gives: % 236.91/38.33 | (1089) all_1415_2 = all_1385_1 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_774_0, all_1415_2, c_Int_OPls, % 236.91/38.33 | simplifying with (330), (724) gives: % 236.91/38.33 | (1090) all_1415_2 = all_774_0 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1166_1, all_1418_2, c_Int_OPls, % 236.91/38.33 | simplifying with (533), (728) gives: % 236.91/38.33 | (1091) all_1418_2 = all_1166_1 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1156_3, all_1418_2, c_Int_OPls, % 236.91/38.33 | simplifying with (523), (728) gives: % 236.91/38.33 | (1092) all_1418_2 = all_1156_3 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1382_2, all_1424_2, c_Int_OPls, % 236.91/38.33 | simplifying with (695), (734) gives: % 236.91/38.33 | (1093) all_1424_2 = all_1382_2 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1376_0, all_1427_2, c_Int_OPls, % 236.91/38.33 | simplifying with (688), (738) gives: % 236.91/38.33 | (1094) all_1427_2 = all_1376_0 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1272_0, all_1427_2, c_Int_OPls, % 236.91/38.33 | simplifying with (607), (738) gives: % 236.91/38.33 | (1095) all_1427_2 = all_1272_0 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1391_2, all_1430_2, c_Int_OPls, % 236.91/38.33 | simplifying with (706), (742) gives: % 236.91/38.33 | (1096) all_1430_2 = all_1391_2 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1034_2, all_1430_2, c_Int_OPls, % 236.91/38.33 | simplifying with (452), (742) gives: % 236.91/38.33 | (1097) all_1430_2 = all_1034_2 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1310_3, all_1442_2, c_Int_OPls, % 236.91/38.33 | simplifying with (637), (746) gives: % 236.91/38.33 | (1098) all_1442_2 = all_1310_3 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1202_2, all_1442_2, c_Int_OPls, % 236.91/38.33 | simplifying with (559), (746) gives: % 236.91/38.33 | (1099) all_1442_2 = all_1202_2 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1172_2, all_1442_2, c_Int_OPls, % 236.91/38.33 | simplifying with (541), (746) gives: % 236.91/38.33 | (1100) all_1442_2 = all_1172_2 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1166_1, all_1442_2, c_Int_OPls, % 236.91/38.33 | simplifying with (533), (746) gives: % 236.91/38.33 | (1101) all_1442_2 = all_1166_1 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1065_2, all_1445_2, c_Int_OPls, % 236.91/38.33 | simplifying with (470), (750) gives: % 236.91/38.33 | (1102) all_1445_2 = all_1065_2 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1361_3, all_1451_3, c_Int_OPls, % 236.91/38.33 | simplifying with (680), (754) gives: % 236.91/38.33 | (1103) all_1451_3 = all_1361_3 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1169_2, all_1451_3, c_Int_OPls, % 236.91/38.33 | simplifying with (537), (754) gives: % 236.91/38.33 | (1104) all_1451_3 = all_1169_2 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1352_2, all_1460_3, c_Int_OPls, % 236.91/38.33 | simplifying with (668), (764) gives: % 236.91/38.33 | (1105) all_1460_3 = all_1352_2 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1331_2, all_1460_3, c_Int_OPls, % 236.91/38.33 | simplifying with (652), (764) gives: % 236.91/38.33 | (1106) all_1460_3 = all_1331_2 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1319_1, all_1460_3, c_Int_OPls, % 236.91/38.33 | simplifying with (644), (764) gives: % 236.91/38.33 | (1107) all_1460_3 = all_1319_1 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1266_2, all_1460_3, c_Int_OPls, % 236.91/38.33 | simplifying with (601), (764) gives: % 236.91/38.33 | (1108) all_1460_3 = all_1266_2 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1143_3, all_1460_3, c_Int_OPls, % 236.91/38.33 | simplifying with (507), (764) gives: % 236.91/38.33 | (1109) all_1460_3 = all_1143_3 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1418_2, all_1469_3, c_Int_OPls, % 236.91/38.33 | simplifying with (728), (770) gives: % 236.91/38.33 | (1110) all_1469_3 = all_1418_2 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1158_3, all_1469_3, c_Int_OPls, % 236.91/38.33 | simplifying with (528), (770) gives: % 236.91/38.33 | (1111) all_1469_3 = all_1158_3 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1331_2, all_1481_3, c_Int_OPls, % 236.91/38.33 | simplifying with (652), (778) gives: % 236.91/38.33 | (1112) all_1481_3 = all_1331_2 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1298_2, all_1481_3, c_Int_OPls, % 236.91/38.33 | simplifying with (624), (778) gives: % 236.91/38.33 | (1113) all_1481_3 = all_1298_2 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1251_0, all_1481_3, c_Int_OPls, % 236.91/38.33 | simplifying with (587), (778) gives: % 236.91/38.33 | (1114) all_1481_3 = all_1251_0 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1400_2, all_1508_3, c_Int_OPls, % 236.91/38.33 | simplifying with (716), (790) gives: % 236.91/38.33 | (1115) all_1508_3 = all_1400_2 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1367_0, all_1508_3, c_Int_OPls, % 236.91/38.33 | simplifying with (682), (790) gives: % 236.91/38.33 | (1116) all_1508_3 = all_1367_0 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1040_2, all_1508_3, c_Int_OPls, % 236.91/38.33 | simplifying with (460), (790) gives: % 236.91/38.33 | (1117) all_1508_3 = all_1040_2 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1454_2, all_1517_2, c_Int_OPls, % 236.91/38.33 | simplifying with (758), (797) gives: % 236.91/38.33 | (1118) all_1517_2 = all_1454_2 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1460_3, all_1526_4, c_Int_OPls, % 236.91/38.33 | simplifying with (764), (806) gives: % 236.91/38.33 | (1119) all_1526_4 = all_1460_3 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1445_2, all_1532_2, c_Int_OPls, % 236.91/38.33 | simplifying with (750), (812) gives: % 236.91/38.33 | (1120) all_1532_2 = all_1445_2 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1526_4, all_1535_2, c_Int_OPls, % 236.91/38.33 | simplifying with (806), (818) gives: % 236.91/38.33 | (1121) all_1535_2 = all_1526_4 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1454_2, all_1541_3, c_Int_OPls, % 236.91/38.33 | simplifying with (758), (823) gives: % 236.91/38.33 | (1122) all_1541_3 = all_1454_2 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1355_2, all_1541_3, c_Int_OPls, % 236.91/38.33 | simplifying with (672), (823) gives: % 236.91/38.33 | (1123) all_1541_3 = all_1355_2 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1032_2, all_1541_3, c_Int_OPls, % 236.91/38.33 | simplifying with (448), (823) gives: % 236.91/38.33 | (1124) all_1541_3 = all_1032_2 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1535_2, all_1547_2, c_Int_OPls, % 236.91/38.33 | simplifying with (818), (828) gives: % 236.91/38.33 | (1125) all_1547_2 = all_1535_2 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1517_2, all_1553_4, c_Int_OPls, % 236.91/38.33 | simplifying with (797), (837) gives: % 236.91/38.33 | (1126) all_1553_4 = all_1517_2 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_684_0, all_1553_4, c_Int_OPls, % 236.91/38.33 | simplifying with (274), (837) gives: % 236.91/38.33 | (1127) all_1553_4 = all_684_0 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1550_3, all_1559_3, c_Int_OPls, % 236.91/38.33 | simplifying with (832), (842) gives: % 236.91/38.33 | (1128) all_1559_3 = all_1550_3 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1388_2, all_1559_3, c_Int_OPls, % 236.91/38.33 | simplifying with (702), (842) gives: % 236.91/38.33 | (1129) all_1559_3 = all_1388_2 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1269_2, all_1559_3, c_Int_OPls, % 236.91/38.33 | simplifying with (605), (842) gives: % 236.91/38.33 | (1130) all_1559_3 = all_1269_2 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1236_1, all_1559_3, c_Int_OPls, % 236.91/38.33 | simplifying with (576), (842) gives: % 236.91/38.33 | (1131) all_1559_3 = all_1236_1 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1208_2, all_1559_3, c_Int_OPls, % 236.91/38.33 | simplifying with (563), (842) gives: % 236.91/38.33 | (1132) all_1559_3 = all_1208_2 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1172_2, all_1559_3, c_Int_OPls, % 236.91/38.33 | simplifying with (541), (842) gives: % 236.91/38.33 | (1133) all_1559_3 = all_1172_2 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1424_2, all_1562_4, c_Int_OPls, % 236.91/38.33 | simplifying with (734), (847) gives: % 236.91/38.33 | (1134) all_1562_4 = all_1424_2 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1278_2, all_1562_4, c_Int_OPls, % 236.91/38.33 | simplifying with (615), (847) gives: % 236.91/38.33 | (1135) all_1562_4 = all_1278_2 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1547_2, all_1573_4, c_Int_OPls, % 236.91/38.33 | simplifying with (828), (889) gives: % 236.91/38.33 | (1136) all_1573_4 = all_1547_2 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_930_0, all_1573_4, c_Int_OPls, % 236.91/38.33 | simplifying with (383), (889) gives: % 236.91/38.33 | (1137) all_1573_4 = all_930_0 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1520_2, all_1575_2, c_Int_OPls, % 236.91/38.33 | simplifying with (801), (893) gives: % 236.91/38.33 | (1138) all_1575_2 = all_1520_2 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1301_2, all_1575_2, c_Int_OPls, % 236.91/38.33 | simplifying with (628), (893) gives: % 236.91/38.33 | (1139) all_1575_2 = all_1301_2 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1178_2, all_1575_2, c_Int_OPls, % 236.91/38.33 | simplifying with (549), (893) gives: % 236.91/38.33 | (1140) all_1575_2 = all_1178_2 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_819_1, all_1575_2, c_Int_OPls, % 236.91/38.33 | simplifying with (342), (893) gives: % 236.91/38.33 | (1141) all_1575_2 = all_819_1 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_1532_2, all_1578_5, c_Int_OPls, % 236.91/38.33 | simplifying with (812), (898) gives: % 236.91/38.33 | (1142) all_1578_5 = all_1532_2 % 236.91/38.33 | % 236.91/38.33 | GROUND_INST: instantiating (245) with all_807_0, all_1578_5, c_Int_OPls, % 236.91/38.33 | simplifying with (336), (898) gives: % 236.91/38.33 | (1143) all_1578_5 = all_807_0 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (1031), (1032) imply: % 236.91/38.33 | (1144) all_1496_1 = all_652_0 % 236.91/38.33 | % 236.91/38.33 | SIMP: (1144) implies: % 236.91/38.33 | (1145) all_1496_1 = all_652_0 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (976), (977) imply: % 236.91/38.33 | (1146) all_1502_0 = all_712_0 % 236.91/38.33 | % 236.91/38.33 | SIMP: (1146) implies: % 236.91/38.33 | (1147) all_1502_0 = all_712_0 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (972), (974) imply: % 236.91/38.33 | (1148) all_1007_0 = all_746_0 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (972), (973) imply: % 236.91/38.33 | (1149) all_1007_0 = all_759_0 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (972), (975) imply: % 236.91/38.33 | (1150) all_1007_0 = all_729_0 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (1028), (1030) imply: % 236.91/38.33 | (1151) all_1334_0 = all_674_0 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (1028), (1029) imply: % 236.91/38.33 | (1152) all_1334_0 = all_1125_1 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (1058), (1059) imply: % 236.91/38.33 | (1153) all_1535_3 = all_821_1 % 236.91/38.33 | % 236.91/38.33 | SIMP: (1153) implies: % 236.91/38.33 | (1154) all_1535_3 = all_821_1 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (1026), (1027) imply: % 236.91/38.33 | (1155) all_953_0 = c_Int_OPls % 236.91/38.33 | % 236.91/38.33 | SIMP: (1155) implies: % 236.91/38.33 | (1156) all_953_0 = c_Int_OPls % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (1142), (1143) imply: % 236.91/38.33 | (1157) all_1532_2 = all_807_0 % 236.91/38.33 | % 236.91/38.33 | SIMP: (1157) implies: % 236.91/38.33 | (1158) all_1532_2 = all_807_0 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (1138), (1140) imply: % 236.91/38.33 | (1159) all_1520_2 = all_1178_2 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (1138), (1141) imply: % 236.91/38.33 | (1160) all_1520_2 = all_819_1 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (1138), (1139) imply: % 236.91/38.33 | (1161) all_1520_2 = all_1301_2 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (1136), (1137) imply: % 236.91/38.33 | (1162) all_1547_2 = all_930_0 % 236.91/38.33 | % 236.91/38.33 | SIMP: (1162) implies: % 236.91/38.33 | (1163) all_1547_2 = all_930_0 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (910), (911) imply: % 236.91/38.33 | (1164) all_1571_14 = all_692_0 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (1134), (1135) imply: % 236.91/38.33 | (1165) all_1424_2 = all_1278_2 % 236.91/38.33 | % 236.91/38.33 | SIMP: (1165) implies: % 236.91/38.33 | (1166) all_1424_2 = all_1278_2 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (1128), (1132) imply: % 236.91/38.33 | (1167) all_1550_3 = all_1208_2 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (1128), (1130) imply: % 236.91/38.33 | (1168) all_1550_3 = all_1269_2 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (1128), (1131) imply: % 236.91/38.33 | (1169) all_1550_3 = all_1236_1 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (1128), (1133) imply: % 236.91/38.33 | (1170) all_1550_3 = all_1172_2 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (1128), (1129) imply: % 236.91/38.33 | (1171) all_1550_3 = all_1388_2 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (1126), (1127) imply: % 236.91/38.33 | (1172) all_1517_2 = all_684_0 % 236.91/38.33 | % 236.91/38.33 | SIMP: (1172) implies: % 236.91/38.33 | (1173) all_1517_2 = all_684_0 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (1167), (1171) imply: % 236.91/38.33 | (1174) all_1388_2 = all_1208_2 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (1169), (1171) imply: % 236.91/38.33 | (1175) all_1388_2 = all_1236_1 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (1170), (1171) imply: % 236.91/38.33 | (1176) all_1388_2 = all_1172_2 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (1168), (1171) imply: % 236.91/38.33 | (1177) all_1388_2 = all_1269_2 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (1125), (1163) imply: % 236.91/38.33 | (1178) all_1535_2 = all_930_0 % 236.91/38.33 | % 236.91/38.33 | SIMP: (1178) implies: % 236.91/38.33 | (1179) all_1535_2 = all_930_0 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (1122), (1123) imply: % 236.91/38.33 | (1180) all_1454_2 = all_1355_2 % 236.91/38.33 | % 236.91/38.33 | SIMP: (1180) implies: % 236.91/38.33 | (1181) all_1454_2 = all_1355_2 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (1123), (1124) imply: % 236.91/38.33 | (1182) all_1355_2 = all_1032_2 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (1121), (1179) imply: % 236.91/38.33 | (1183) all_1526_4 = all_930_0 % 236.91/38.33 | % 236.91/38.33 | SIMP: (1183) implies: % 236.91/38.33 | (1184) all_1526_4 = all_930_0 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (1057), (1154) imply: % 236.91/38.33 | (1185) all_1406_0 = all_821_1 % 236.91/38.33 | % 236.91/38.33 | SIMP: (1185) implies: % 236.91/38.33 | (1186) all_1406_0 = all_821_1 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (1024), (1025) imply: % 236.91/38.33 | (1187) all_1260_0 = all_744_1 % 236.91/38.33 | % 236.91/38.33 | SIMP: (1187) implies: % 236.91/38.33 | (1188) all_1260_0 = all_744_1 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (1120), (1158) imply: % 236.91/38.33 | (1189) all_1445_2 = all_807_0 % 236.91/38.33 | % 236.91/38.33 | SIMP: (1189) implies: % 236.91/38.33 | (1190) all_1445_2 = all_807_0 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (1022), (1023) imply: % 236.91/38.33 | (1191) all_953_0 = all_877_0 % 236.91/38.33 | % 236.91/38.33 | SIMP: (1191) implies: % 236.91/38.33 | (1192) all_953_0 = all_877_0 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (1021), (1023) imply: % 236.91/38.33 | (1193) all_1113_0 = all_877_0 % 236.91/38.33 | % 236.91/38.33 | SIMP: (1193) implies: % 236.91/38.33 | (1194) all_1113_0 = all_877_0 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (1119), (1184) imply: % 236.91/38.33 | (1195) all_1460_3 = all_930_0 % 236.91/38.33 | % 236.91/38.33 | SIMP: (1195) implies: % 236.91/38.33 | (1196) all_1460_3 = all_930_0 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (1160), (1161) imply: % 236.91/38.33 | (1197) all_1301_2 = all_819_1 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (1159), (1161) imply: % 236.91/38.33 | (1198) all_1301_2 = all_1178_2 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (1118), (1173) imply: % 236.91/38.33 | (1199) all_1454_2 = all_684_0 % 236.91/38.33 | % 236.91/38.33 | SIMP: (1199) implies: % 236.91/38.33 | (1200) all_1454_2 = all_684_0 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (970), (971) imply: % 236.91/38.33 | (1201) all_1463_0 = all_662_0 % 236.91/38.33 | % 236.91/38.33 | SIMP: (1201) implies: % 236.91/38.33 | (1202) all_1463_0 = all_662_0 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (1115), (1117) imply: % 236.91/38.33 | (1203) all_1400_2 = all_1040_2 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (1115), (1116) imply: % 236.91/38.33 | (1204) all_1400_2 = all_1367_0 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (969), (1147) imply: % 236.91/38.33 | (1205) all_1496_0 = all_712_0 % 236.91/38.33 | % 236.91/38.33 | SIMP: (1205) implies: % 236.91/38.33 | (1206) all_1496_0 = all_712_0 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (968), (1206) imply: % 236.91/38.33 | (1207) all_1092_0 = all_712_0 % 236.91/38.33 | % 236.91/38.33 | SIMP: (1207) implies: % 236.91/38.33 | (1208) all_1092_0 = all_712_0 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (1020), (1145) imply: % 236.91/38.33 | (1209) all_1379_0 = all_652_0 % 236.91/38.33 | % 236.91/38.33 | SIMP: (1209) implies: % 236.91/38.33 | (1210) all_1379_0 = all_652_0 % 236.91/38.33 | % 236.91/38.33 | COMBINE_EQS: (965), (966) imply: % 236.91/38.34 | (1211) all_1042_0 = all_1024_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1211) implies: % 236.91/38.34 | (1212) all_1042_0 = all_1024_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (966), (967) imply: % 236.91/38.34 | (1213) all_1024_0 = all_1001_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1113), (1114) imply: % 236.91/38.34 | (1214) all_1298_2 = all_1251_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1112), (1113) imply: % 236.91/38.34 | (1215) all_1331_2 = all_1298_2 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1215) implies: % 236.91/38.34 | (1216) all_1331_2 = all_1298_2 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (963), (964) imply: % 236.91/38.34 | (1217) all_1190_0 = all_696_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1217) implies: % 236.91/38.34 | (1218) all_1190_0 = all_696_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (961), (962) imply: % 236.91/38.34 | (1219) all_1412_0 = all_1101_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1219) implies: % 236.91/38.34 | (1220) all_1412_0 = all_1101_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1110), (1111) imply: % 236.91/38.34 | (1221) all_1418_2 = all_1158_3 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1221) implies: % 236.91/38.34 | (1222) all_1418_2 = all_1158_3 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (960), (1202) imply: % 236.91/38.34 | (1223) all_1071_0 = all_662_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1223) implies: % 236.91/38.34 | (1224) all_1071_0 = all_662_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1105), (1106) imply: % 236.91/38.34 | (1225) all_1352_2 = all_1331_2 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1105), (1196) imply: % 236.91/38.34 | (1226) all_1352_2 = all_930_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1105), (1109) imply: % 236.91/38.34 | (1227) all_1352_2 = all_1143_3 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1105), (1108) imply: % 236.91/38.34 | (1228) all_1352_2 = all_1266_2 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1105), (1107) imply: % 236.91/38.34 | (1229) all_1352_2 = all_1319_1 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (958), (959) imply: % 236.91/38.34 | (1230) all_704_0 = all_672_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1230) implies: % 236.91/38.34 | (1231) all_704_0 = all_672_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1181), (1200) imply: % 236.91/38.34 | (1232) all_1355_2 = all_684_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1232) implies: % 236.91/38.34 | (1233) all_1355_2 = all_684_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1103), (1104) imply: % 236.91/38.34 | (1234) all_1361_3 = all_1169_2 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1234) implies: % 236.91/38.34 | (1235) all_1361_3 = all_1169_2 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1102), (1190) imply: % 236.91/38.34 | (1236) all_1065_2 = all_807_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1236) implies: % 236.91/38.34 | (1237) all_1065_2 = all_807_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1099), (1100) imply: % 236.91/38.34 | (1238) all_1202_2 = all_1172_2 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1099), (1101) imply: % 236.91/38.34 | (1239) all_1202_2 = all_1166_1 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1098), (1099) imply: % 236.91/38.34 | (1240) all_1310_3 = all_1202_2 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1240) implies: % 236.91/38.34 | (1241) all_1310_3 = all_1202_2 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1096), (1097) imply: % 236.91/38.34 | (1242) all_1391_2 = all_1034_2 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1242) implies: % 236.91/38.34 | (1243) all_1391_2 = all_1034_2 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1094), (1095) imply: % 236.91/38.34 | (1244) all_1376_0 = all_1272_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1244) implies: % 236.91/38.34 | (1245) all_1376_0 = all_1272_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1093), (1166) imply: % 236.91/38.34 | (1246) all_1382_2 = all_1278_2 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1246) implies: % 236.91/38.34 | (1247) all_1382_2 = all_1278_2 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (956), (957) imply: % 236.91/38.34 | (1248) all_1397_0 = all_944_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1248) implies: % 236.91/38.34 | (1249) all_1397_0 = all_944_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1091), (1222) imply: % 236.91/38.34 | (1250) all_1166_1 = all_1158_3 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1250) implies: % 236.91/38.34 | (1251) all_1166_1 = all_1158_3 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1092), (1222) imply: % 236.91/38.34 | (1252) all_1158_3 = all_1156_3 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1089), (1090) imply: % 236.91/38.34 | (1253) all_1385_1 = all_774_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1253) implies: % 236.91/38.34 | (1254) all_1385_1 = all_774_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (955), (1220) imply: % 236.91/38.34 | (1255) all_1160_0 = all_1101_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1255) implies: % 236.91/38.34 | (1256) all_1160_0 = all_1101_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1056), (1186) imply: % 236.91/38.34 | (1257) all_1287_1 = all_821_1 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1257) implies: % 236.91/38.34 | (1258) all_1287_1 = all_821_1 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1203), (1204) imply: % 236.91/38.34 | (1259) all_1367_0 = all_1040_2 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1259) implies: % 236.91/38.34 | (1260) all_1367_0 = all_1040_2 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (954), (1249) imply: % 236.91/38.34 | (1261) all_1382_4 = all_944_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1261) implies: % 236.91/38.34 | (1262) all_1382_4 = all_944_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1087), (1088) imply: % 236.91/38.34 | (1263) all_1328_3 = all_1037_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1263) implies: % 236.91/38.34 | (1264) all_1328_3 = all_1037_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1083), (1086) imply: % 236.91/38.34 | (1265) all_1373_0 = all_908_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1083), (1085) imply: % 236.91/38.34 | (1266) all_1373_0 = all_1010_2 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1083), (1084) imply: % 236.91/38.34 | (1267) all_1373_0 = all_1275_2 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1083), (1243) imply: % 236.91/38.34 | (1268) all_1373_0 = all_1034_2 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1175), (1177) imply: % 236.91/38.34 | (1269) all_1269_2 = all_1236_1 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1174), (1177) imply: % 236.91/38.34 | (1270) all_1269_2 = all_1208_2 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1176), (1177) imply: % 236.91/38.34 | (1271) all_1269_2 = all_1172_2 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1082), (1254) imply: % 236.91/38.34 | (1272) all_1349_2 = all_774_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1272) implies: % 236.91/38.34 | (1273) all_1349_2 = all_774_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1081), (1247) imply: % 236.91/38.34 | (1274) all_1331_2 = all_1278_2 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1274) implies: % 236.91/38.34 | (1275) all_1331_2 = all_1278_2 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (953), (1262) imply: % 236.91/38.34 | (1276) all_1370_0 = all_944_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1276) implies: % 236.91/38.34 | (1277) all_1370_0 = all_944_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1019), (1210) imply: % 236.91/38.34 | (1278) all_1361_4 = all_652_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1278) implies: % 236.91/38.34 | (1279) all_1361_4 = all_652_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1080), (1245) imply: % 236.91/38.34 | (1280) all_1272_0 = all_1175_2 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1079), (1245) imply: % 236.91/38.34 | (1281) all_1328_3 = all_1272_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1281) implies: % 236.91/38.34 | (1282) all_1328_3 = all_1272_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1266), (1268) imply: % 236.91/38.34 | (1283) all_1034_2 = all_1010_2 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1265), (1268) imply: % 236.91/38.34 | (1284) all_1034_2 = all_908_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1267), (1268) imply: % 236.91/38.34 | (1285) all_1275_2 = all_1034_2 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1285) implies: % 236.91/38.34 | (1286) all_1275_2 = all_1034_2 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (952), (1277) imply: % 236.91/38.34 | (1287) all_1358_0 = all_944_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1287) implies: % 236.91/38.34 | (1288) all_1358_0 = all_944_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1078), (1260) imply: % 236.91/38.34 | (1289) all_1307_2 = all_1040_2 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1289) implies: % 236.91/38.34 | (1290) all_1307_2 = all_1040_2 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1052), (1054) imply: % 236.91/38.34 | (1291) all_1233_0 = all_1125_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1052), (1055) imply: % 236.91/38.34 | (1292) all_1233_0 = all_721_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1052), (1053) imply: % 236.91/38.34 | (1293) all_1233_0 = all_1193_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1077), (1235) imply: % 236.91/38.34 | (1294) all_1310_3 = all_1169_2 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1294) implies: % 236.91/38.34 | (1295) all_1310_3 = all_1169_2 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1018), (1279) imply: % 236.91/38.34 | (1296) all_1316_0 = all_652_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1296) implies: % 236.91/38.34 | (1297) all_1316_0 = all_652_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (951), (1288) imply: % 236.91/38.34 | (1298) all_1343_0 = all_944_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1298) implies: % 236.91/38.34 | (1299) all_1343_0 = all_944_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1182), (1233) imply: % 236.91/38.34 | (1300) all_1032_2 = all_684_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1300) implies: % 236.91/38.34 | (1301) all_1032_2 = all_684_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1227), (1229) imply: % 236.91/38.34 | (1302) all_1319_1 = all_1143_3 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1225), (1229) imply: % 236.91/38.34 | (1303) all_1331_2 = all_1319_1 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1303) implies: % 236.91/38.34 | (1304) all_1331_2 = all_1319_1 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1228), (1229) imply: % 236.91/38.34 | (1305) all_1319_1 = all_1266_2 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1226), (1229) imply: % 236.91/38.34 | (1306) all_1319_1 = all_930_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1076), (1273) imply: % 236.91/38.34 | (1307) all_821_0 = all_774_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1307) implies: % 236.91/38.34 | (1308) all_821_0 = all_774_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1074), (1075) imply: % 236.91/38.34 | (1309) all_1275_2 = all_1054_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1309) implies: % 236.91/38.34 | (1310) all_1275_2 = all_1054_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (950), (1299) imply: % 236.91/38.34 | (1311) all_1307_3 = all_944_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1311) implies: % 236.91/38.34 | (1312) all_1307_3 = all_944_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1016), (1017) imply: % 236.91/38.34 | (1313) all_1113_0 = all_1086_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1313) implies: % 236.91/38.34 | (1314) all_1113_0 = all_1086_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1151), (1152) imply: % 236.91/38.34 | (1315) all_1125_1 = all_674_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1315) implies: % 236.91/38.34 | (1316) all_1125_1 = all_674_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1216), (1275) imply: % 236.91/38.34 | (1317) all_1298_2 = all_1278_2 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1317) implies: % 236.91/38.34 | (1318) all_1298_2 = all_1278_2 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1275), (1304) imply: % 236.91/38.34 | (1319) all_1319_1 = all_1278_2 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1319) implies: % 236.91/38.34 | (1320) all_1319_1 = all_1278_2 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1264), (1282) imply: % 236.91/38.34 | (1321) all_1272_0 = all_1037_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1321) implies: % 236.91/38.34 | (1322) all_1272_0 = all_1037_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1302), (1305) imply: % 236.91/38.34 | (1323) all_1266_2 = all_1143_3 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1305), (1320) imply: % 236.91/38.34 | (1324) all_1278_2 = all_1266_2 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1324) implies: % 236.91/38.34 | (1325) all_1278_2 = all_1266_2 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1305), (1306) imply: % 236.91/38.34 | (1326) all_1266_2 = all_930_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1015), (1297) imply: % 236.91/38.34 | (1327) all_1313_0 = all_652_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1327) implies: % 236.91/38.34 | (1328) all_1313_0 = all_652_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1014), (1328) imply: % 236.91/38.34 | (1329) all_1151_0 = all_652_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1329) implies: % 236.91/38.34 | (1330) all_1151_0 = all_652_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1241), (1295) imply: % 236.91/38.34 | (1331) all_1202_2 = all_1169_2 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1331) implies: % 236.91/38.34 | (1332) all_1202_2 = all_1169_2 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1073), (1290) imply: % 236.91/38.34 | (1333) all_1263_2 = all_1040_2 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1333) implies: % 236.91/38.34 | (1334) all_1263_2 = all_1040_2 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (949), (1312) imply: % 236.91/38.34 | (1335) all_1230_0 = all_944_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1335) implies: % 236.91/38.34 | (1336) all_1230_0 = all_944_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1197), (1198) imply: % 236.91/38.34 | (1337) all_1178_2 = all_819_1 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1337) implies: % 236.91/38.34 | (1338) all_1178_2 = all_819_1 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1214), (1318) imply: % 236.91/38.34 | (1339) all_1278_2 = all_1251_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1339) implies: % 236.91/38.34 | (1340) all_1278_2 = all_1251_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1011), (1012) imply: % 236.91/38.34 | (1341) all_1287_0 = all_1148_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1011), (1013) imply: % 236.91/38.34 | (1342) all_1287_0 = all_1032_3 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1341), (1342) imply: % 236.91/38.34 | (1343) all_1148_0 = all_1032_3 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1343) implies: % 236.91/38.34 | (1344) all_1148_0 = all_1032_3 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1051), (1258) imply: % 236.91/38.34 | (1345) all_1199_0 = all_821_1 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1345) implies: % 236.91/38.34 | (1346) all_1199_0 = all_821_1 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1325), (1340) imply: % 236.91/38.34 | (1347) all_1266_2 = all_1251_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1347) implies: % 236.91/38.34 | (1348) all_1266_2 = all_1251_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1072), (1310) imply: % 236.91/38.34 | (1349) all_1143_3 = all_1054_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1349) implies: % 236.91/38.34 | (1350) all_1143_3 = all_1054_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1286), (1310) imply: % 236.91/38.34 | (1351) all_1054_0 = all_1034_2 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1280), (1322) imply: % 236.91/38.34 | (1352) all_1175_2 = all_1037_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1352) implies: % 236.91/38.34 | (1353) all_1175_2 = all_1037_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1270), (1271) imply: % 236.91/38.34 | (1354) all_1208_2 = all_1172_2 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1269), (1270) imply: % 236.91/38.34 | (1355) all_1236_1 = all_1208_2 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1355) implies: % 236.91/38.34 | (1356) all_1236_1 = all_1208_2 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1323), (1348) imply: % 236.91/38.34 | (1357) all_1251_0 = all_1143_3 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1326), (1348) imply: % 236.91/38.34 | (1358) all_1251_0 = all_930_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1071), (1334) imply: % 236.91/38.34 | (1359) all_1257_2 = all_1040_2 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1359) implies: % 236.91/38.34 | (1360) all_1257_2 = all_1040_2 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1010), (1188) imply: % 236.91/38.34 | (1361) all_1113_0 = all_744_1 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1361) implies: % 236.91/38.34 | (1362) all_1113_0 = all_744_1 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1070), (1360) imply: % 236.91/38.34 | (1363) all_1236_1 = all_1040_2 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1363) implies: % 236.91/38.34 | (1364) all_1236_1 = all_1040_2 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1357), (1358) imply: % 236.91/38.34 | (1365) all_1143_3 = all_930_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1365) implies: % 236.91/38.34 | (1366) all_1143_3 = all_930_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1356), (1364) imply: % 236.91/38.34 | (1367) all_1208_2 = all_1040_2 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1367) implies: % 236.91/38.34 | (1368) all_1208_2 = all_1040_2 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1291), (1293) imply: % 236.91/38.34 | (1369) all_1193_0 = all_1125_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1292), (1293) imply: % 236.91/38.34 | (1370) all_1193_0 = all_721_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (948), (1336) imply: % 236.91/38.34 | (1371) all_1216_0 = all_944_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1371) implies: % 236.91/38.34 | (1372) all_1216_0 = all_944_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1008), (1009) imply: % 236.91/38.34 | (1373) all_741_0 = all_676_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1373) implies: % 236.91/38.34 | (1374) all_741_0 = all_676_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1007), (1009) imply: % 236.91/38.34 | (1375) all_1004_0 = all_676_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1375) implies: % 236.91/38.34 | (1376) all_1004_0 = all_676_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (947), (1372) imply: % 236.91/38.34 | (1377) all_1211_0 = all_944_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1377) implies: % 236.91/38.34 | (1378) all_1211_0 = all_944_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (946), (1378) imply: % 236.91/38.34 | (1379) all_1116_0 = all_944_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1379) implies: % 236.91/38.34 | (1380) all_1116_0 = all_944_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1354), (1368) imply: % 236.91/38.34 | (1381) all_1172_2 = all_1040_2 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1381) implies: % 236.91/38.34 | (1382) all_1172_2 = all_1040_2 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1239), (1332) imply: % 236.91/38.34 | (1383) all_1169_2 = all_1166_1 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1238), (1332) imply: % 236.91/38.34 | (1384) all_1172_2 = all_1169_2 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1384) implies: % 236.91/38.34 | (1385) all_1172_2 = all_1169_2 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1050), (1346) imply: % 236.91/38.34 | (1386) all_1134_0 = all_821_1 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1386) implies: % 236.91/38.34 | (1387) all_1134_0 = all_821_1 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1369), (1370) imply: % 236.91/38.34 | (1388) all_1125_0 = all_721_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1388) implies: % 236.91/38.34 | (1389) all_1125_0 = all_721_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (945), (1218) imply: % 236.91/38.34 | (1390) all_1089_0 = all_696_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1390) implies: % 236.91/38.34 | (1391) all_1089_0 = all_696_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1069), (1338) imply: % 236.91/38.34 | (1392) all_1145_2 = all_819_1 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1392) implies: % 236.91/38.34 | (1393) all_1145_2 = all_819_1 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1068), (1353) imply: % 236.91/38.34 | (1394) all_1154_3 = all_1037_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1394) implies: % 236.91/38.34 | (1395) all_1154_3 = all_1037_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1382), (1385) imply: % 236.91/38.34 | (1396) all_1169_2 = all_1040_2 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1396) implies: % 236.91/38.34 | (1397) all_1169_2 = all_1040_2 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1383), (1397) imply: % 236.91/38.34 | (1398) all_1166_1 = all_1040_2 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1398) implies: % 236.91/38.34 | (1399) all_1166_1 = all_1040_2 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1251), (1399) imply: % 236.91/38.34 | (1400) all_1158_3 = all_1040_2 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1400) implies: % 236.91/38.34 | (1401) all_1158_3 = all_1040_2 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (943), (1256) imply: % 236.91/38.34 | (1402) all_1101_0 = all_1058_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (944), (1256) imply: % 236.91/38.34 | (1403) all_1101_0 = all_710_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1252), (1401) imply: % 236.91/38.34 | (1404) all_1156_3 = all_1040_2 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1404) implies: % 236.91/38.34 | (1405) all_1156_3 = all_1040_2 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1067), (1405) imply: % 236.91/38.34 | (1406) all_1145_2 = all_1040_2 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1406) implies: % 236.91/38.34 | (1407) all_1145_2 = all_1040_2 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1066), (1395) imply: % 236.91/38.34 | (1408) all_1145_2 = all_1037_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1408) implies: % 236.91/38.34 | (1409) all_1145_2 = all_1037_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1006), (1330) imply: % 236.91/38.34 | (1410) all_1148_0 = all_652_0 % 236.91/38.34 | % 236.91/38.34 | SIMP: (1410) implies: % 236.91/38.34 | (1411) all_1148_0 = all_652_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1005), (1344) imply: % 236.91/38.34 | (1412) all_1032_3 = all_995_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1344), (1411) imply: % 236.91/38.34 | (1413) all_1032_3 = all_652_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1407), (1409) imply: % 236.91/38.34 | (1414) all_1040_2 = all_1037_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1065), (1407) imply: % 236.91/38.34 | (1415) all_1040_2 = all_821_0 % 236.91/38.34 | % 236.91/38.34 | COMBINE_EQS: (1393), (1407) imply: % 236.91/38.35 | (1416) all_1040_2 = all_819_1 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1350), (1366) imply: % 236.91/38.35 | (1417) all_1054_0 = all_930_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1417) implies: % 236.91/38.35 | (1418) all_1054_0 = all_930_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1049), (1387) imply: % 236.91/38.35 | (1419) all_1119_1 = all_821_1 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1419) implies: % 236.91/38.35 | (1420) all_1119_1 = all_821_1 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1048), (1389) imply: % 236.91/38.35 | (1421) all_971_0 = all_721_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1421) implies: % 236.91/38.35 | (1422) all_971_0 = all_721_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1004), (1316) imply: % 236.91/38.35 | (1423) all_1122_0 = all_674_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1423) implies: % 236.91/38.35 | (1424) all_1122_0 = all_674_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1003), (1424) imply: % 236.91/38.35 | (1425) all_1119_0 = all_674_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1425) implies: % 236.91/38.35 | (1426) all_1119_0 = all_674_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1002), (1426) imply: % 236.91/38.35 | (1427) all_1110_0 = all_674_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1427) implies: % 236.91/38.35 | (1428) all_1110_0 = all_674_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1047), (1420) imply: % 236.91/38.35 | (1429) all_1074_1 = all_821_1 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1429) implies: % 236.91/38.35 | (1430) all_1074_1 = all_821_1 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (942), (1380) imply: % 236.91/38.35 | (1431) all_1021_0 = all_944_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1431) implies: % 236.91/38.35 | (1432) all_1021_0 = all_944_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1001), (1314) imply: % 236.91/38.35 | (1433) all_1086_0 = all_739_1 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1194), (1314) imply: % 236.91/38.35 | (1434) all_1086_0 = all_877_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1314), (1362) imply: % 236.91/38.35 | (1435) all_1086_0 = all_744_1 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1000), (1428) imply: % 236.91/38.35 | (1436) all_1077_0 = all_674_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1436) implies: % 236.91/38.35 | (1437) all_1077_0 = all_674_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1402), (1403) imply: % 236.91/38.35 | (1438) all_1058_0 = all_710_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1438) implies: % 236.91/38.35 | (1439) all_1058_0 = all_710_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (941), (1208) imply: % 236.91/38.35 | (1440) all_712_0 = all_704_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (940), (1208) imply: % 236.91/38.35 | (1441) all_737_1 = all_712_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1441) implies: % 236.91/38.35 | (1442) all_737_1 = all_712_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (939), (1208) imply: % 236.91/38.35 | (1443) all_759_0 = all_712_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1443) implies: % 236.91/38.35 | (1444) all_759_0 = all_712_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (938), (1391) imply: % 236.91/38.35 | (1445) all_1042_0 = all_696_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1445) implies: % 236.91/38.35 | (1446) all_1042_0 = all_696_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1433), (1435) imply: % 236.91/38.35 | (1447) all_744_1 = all_739_1 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1434), (1435) imply: % 236.91/38.35 | (1448) all_877_0 = all_744_1 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1448) implies: % 236.91/38.35 | (1449) all_877_0 = all_744_1 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (999), (1437) imply: % 236.91/38.35 | (1450) all_986_0 = all_674_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1450) implies: % 236.91/38.35 | (1451) all_986_0 = all_674_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (995), (998) imply: % 236.91/38.35 | (1452) all_989_0 = all_896_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (995), (996) imply: % 236.91/38.35 | (1453) all_989_0 = all_968_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (995), (997) imply: % 236.91/38.35 | (1454) all_989_0 = all_959_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1046), (1430) imply: % 236.91/38.35 | (1455) all_905_0 = all_821_1 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1455) implies: % 236.91/38.35 | (1456) all_905_0 = all_821_1 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (937), (1224) imply: % 236.91/38.35 | (1457) all_704_0 = all_662_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1457) implies: % 236.91/38.35 | (1458) all_704_0 = all_662_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1064), (1237) imply: % 236.91/38.35 | (1459) all_1027_2 = all_807_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1459) implies: % 236.91/38.35 | (1460) all_1027_2 = all_807_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (936), (1439) imply: % 236.91/38.35 | (1461) all_1027_3 = all_710_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1461) implies: % 236.91/38.35 | (1462) all_1027_3 = all_710_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1351), (1418) imply: % 236.91/38.35 | (1463) all_1034_2 = all_930_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1463) implies: % 236.91/38.35 | (1464) all_1034_2 = all_930_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1212), (1446) imply: % 236.91/38.35 | (1465) all_1024_0 = all_696_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1465) implies: % 236.91/38.35 | (1466) all_1024_0 = all_696_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1414), (1415) imply: % 236.91/38.35 | (1467) all_1037_0 = all_821_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1414), (1416) imply: % 236.91/38.35 | (1468) all_1037_0 = all_819_1 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (993), (994) imply: % 236.91/38.35 | (1469) all_983_1 = all_962_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1469) implies: % 236.91/38.35 | (1470) all_983_1 = all_962_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1467), (1468) imply: % 236.91/38.35 | (1471) all_821_0 = all_819_1 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1471) implies: % 236.91/38.35 | (1472) all_821_0 = all_819_1 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1284), (1464) imply: % 236.91/38.35 | (1473) all_930_0 = all_908_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1283), (1464) imply: % 236.91/38.35 | (1474) all_1010_2 = all_930_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1474) implies: % 236.91/38.35 | (1475) all_1010_2 = all_930_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1063), (1301) imply: % 236.91/38.35 | (1476) all_821_0 = all_684_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1476) implies: % 236.91/38.35 | (1477) all_821_0 = all_684_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1412), (1413) imply: % 236.91/38.35 | (1478) all_995_0 = all_652_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1478) implies: % 236.91/38.35 | (1479) all_995_0 = all_652_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1062), (1460) imply: % 236.91/38.35 | (1480) all_1016_1 = all_807_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1480) implies: % 236.91/38.35 | (1481) all_1016_1 = all_807_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (935), (1462) imply: % 236.91/38.35 | (1482) all_992_0 = all_710_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1482) implies: % 236.91/38.35 | (1483) all_992_0 = all_710_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1213), (1466) imply: % 236.91/38.35 | (1484) all_1001_0 = all_696_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1484) implies: % 236.91/38.35 | (1485) all_1001_0 = all_696_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (934), (1432) imply: % 236.91/38.35 | (1486) all_992_0 = all_944_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1486) implies: % 236.91/38.35 | (1487) all_992_0 = all_944_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1061), (1481) imply: % 236.91/38.35 | (1488) all_1010_2 = all_807_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1488) implies: % 236.91/38.35 | (1489) all_1010_2 = all_807_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1475), (1489) imply: % 236.91/38.35 | (1490) all_930_0 = all_807_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1490) implies: % 236.91/38.35 | (1491) all_930_0 = all_807_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1148), (1150) imply: % 236.91/38.35 | (1492) all_746_0 = all_729_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1492) implies: % 236.91/38.35 | (1493) all_746_0 = all_729_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1149), (1150) imply: % 236.91/38.35 | (1494) all_759_0 = all_729_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1494) implies: % 236.91/38.35 | (1495) all_759_0 = all_729_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (992), (1376) imply: % 236.91/38.35 | (1496) all_686_0 = all_676_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (991), (992) imply: % 236.91/38.35 | (1497) all_891_0 = all_686_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1497) implies: % 236.91/38.35 | (1498) all_891_0 = all_686_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (933), (1485) imply: % 236.91/38.35 | (1499) all_974_0 = all_696_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1499) implies: % 236.91/38.35 | (1500) all_974_0 = all_696_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (990), (1479) imply: % 236.91/38.35 | (1501) all_977_0 = all_652_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1501) implies: % 236.91/38.35 | (1502) all_977_0 = all_652_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1483), (1487) imply: % 236.91/38.35 | (1503) all_944_0 = all_710_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (932), (1487) imply: % 236.91/38.35 | (1504) all_944_0 = all_840_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1452), (1454) imply: % 236.91/38.35 | (1505) all_959_0 = all_896_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1453), (1454) imply: % 236.91/38.35 | (1506) all_968_0 = all_959_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1506) implies: % 236.91/38.35 | (1507) all_968_0 = all_959_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (989), (1451) imply: % 236.91/38.35 | (1508) all_980_0 = all_674_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1508) implies: % 236.91/38.35 | (1509) all_980_0 = all_674_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1044), (1045) imply: % 236.91/38.35 | (1510) all_756_0 = all_739_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1510) implies: % 236.91/38.35 | (1511) all_756_0 = all_739_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (988), (1470) imply: % 236.91/38.35 | (1512) all_962_0 = all_950_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (987), (1470) imply: % 236.91/38.35 | (1513) all_971_1 = all_962_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1513) implies: % 236.91/38.35 | (1514) all_971_1 = all_962_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (986), (1509) imply: % 236.91/38.35 | (1515) all_968_0 = all_674_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1515) implies: % 236.91/38.35 | (1516) all_968_0 = all_674_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (985), (1502) imply: % 236.91/38.35 | (1517) all_891_0 = all_652_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1517) implies: % 236.91/38.35 | (1518) all_891_0 = all_652_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (931), (1500) imply: % 236.91/38.35 | (1519) all_956_0 = all_696_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1519) implies: % 236.91/38.35 | (1520) all_956_0 = all_696_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1042), (1422) imply: % 236.91/38.35 | (1521) all_927_0 = all_721_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1042), (1043) imply: % 236.91/38.35 | (1522) all_927_0 = all_849_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (984), (1514) imply: % 236.91/38.35 | (1523) all_962_0 = all_725_1 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1523) implies: % 236.91/38.35 | (1524) all_962_0 = all_725_1 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1507), (1516) imply: % 236.91/38.35 | (1525) all_959_0 = all_674_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1525) implies: % 236.91/38.35 | (1526) all_959_0 = all_674_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1512), (1524) imply: % 236.91/38.35 | (1527) all_950_0 = all_725_1 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1527) implies: % 236.91/38.35 | (1528) all_950_0 = all_725_1 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1505), (1526) imply: % 236.91/38.35 | (1529) all_896_0 = all_674_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1529) implies: % 236.91/38.35 | (1530) all_896_0 = all_674_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (930), (1520) imply: % 236.91/38.35 | (1531) all_899_0 = all_696_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1531) implies: % 236.91/38.35 | (1532) all_899_0 = all_696_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1156), (1192) imply: % 236.91/38.35 | (1533) all_877_0 = c_Int_OPls % 236.91/38.35 | % 236.91/38.35 | SIMP: (1533) implies: % 236.91/38.35 | (1534) all_877_0 = c_Int_OPls % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (983), (1528) imply: % 236.91/38.35 | (1535) all_741_0 = all_725_1 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1535) implies: % 236.91/38.35 | (1536) all_741_0 = all_725_1 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (982), (1528) imply: % 236.91/38.35 | (1537) all_816_0 = all_725_1 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1537) implies: % 236.91/38.35 | (1538) all_816_0 = all_725_1 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1503), (1504) imply: % 236.91/38.35 | (1539) all_840_0 = all_710_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1539) implies: % 236.91/38.35 | (1540) all_840_0 = all_710_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1473), (1491) imply: % 236.91/38.35 | (1541) all_908_0 = all_807_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1541) implies: % 236.91/38.35 | (1542) all_908_0 = all_807_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1521), (1522) imply: % 236.91/38.35 | (1543) all_849_0 = all_721_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1543) implies: % 236.91/38.35 | (1544) all_849_0 = all_721_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1060), (1542) imply: % 236.91/38.35 | (1545) all_821_0 = all_807_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1545) implies: % 236.91/38.35 | (1546) all_821_0 = all_807_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1041), (1456) imply: % 236.91/38.35 | (1547) all_896_1 = all_821_1 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1547) implies: % 236.91/38.35 | (1548) all_896_1 = all_821_1 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (929), (1532) imply: % 236.91/38.35 | (1549) all_875_2 = all_696_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1549) implies: % 236.91/38.35 | (1550) all_875_2 = all_696_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (981), (1530) imply: % 236.91/38.35 | (1551) all_741_0 = all_674_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1551) implies: % 236.91/38.35 | (1552) all_741_0 = all_674_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1039), (1548) imply: % 236.91/38.35 | (1553) all_834_0 = all_821_1 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1553) implies: % 236.91/38.35 | (1554) all_834_0 = all_821_1 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1040), (1548) imply: % 236.91/38.35 | (1555) all_821_1 = all_756_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1498), (1518) imply: % 236.91/38.35 | (1556) all_686_0 = all_652_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1556) implies: % 236.91/38.35 | (1557) all_686_0 = all_652_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1449), (1534) imply: % 236.91/38.35 | (1558) all_744_1 = c_Int_OPls % 236.91/38.35 | % 236.91/38.35 | SIMP: (1558) implies: % 236.91/38.35 | (1559) all_744_1 = c_Int_OPls % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (928), (1550) imply: % 236.91/38.35 | (1560) all_872_0 = all_696_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1560) implies: % 236.91/38.35 | (1561) all_872_0 = all_696_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (927), (1561) imply: % 236.91/38.35 | (1562) all_852_0 = all_696_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1562) implies: % 236.91/38.35 | (1563) all_852_0 = all_696_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (926), (1563) imply: % 236.91/38.35 | (1564) all_823_0 = all_696_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1564) implies: % 236.91/38.35 | (1565) all_823_0 = all_696_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1038), (1544) imply: % 236.91/38.35 | (1566) all_834_0 = all_721_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1566) implies: % 236.91/38.35 | (1567) all_834_0 = all_721_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (924), (925) imply: % 236.91/38.35 | (1568) all_809_0 = all_794_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (923), (924) imply: % 236.91/38.35 | (1569) all_831_0 = all_809_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1569) implies: % 236.91/38.35 | (1570) all_831_0 = all_809_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (922), (1540) imply: % 236.91/38.35 | (1571) all_831_0 = all_710_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1571) implies: % 236.91/38.35 | (1572) all_831_0 = all_710_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (920), (921) imply: % 236.91/38.35 | (1573) all_771_0 = all_718_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1573) implies: % 236.91/38.35 | (1574) all_771_0 = all_718_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1554), (1567) imply: % 236.91/38.35 | (1575) all_821_1 = all_721_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1575) implies: % 236.91/38.35 | (1576) all_821_1 = all_721_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1570), (1572) imply: % 236.91/38.35 | (1577) all_809_0 = all_710_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1577) implies: % 236.91/38.35 | (1578) all_809_0 = all_710_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (919), (1565) imply: % 236.91/38.35 | (1579) all_789_0 = all_696_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1579) implies: % 236.91/38.35 | (1580) all_789_0 = all_696_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1472), (1477) imply: % 236.91/38.35 | (1581) all_819_1 = all_684_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1308), (1472) imply: % 236.91/38.35 | (1582) all_819_1 = all_774_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1472), (1546) imply: % 236.91/38.35 | (1583) all_819_1 = all_807_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1555), (1576) imply: % 236.91/38.35 | (1584) all_756_0 = all_721_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1584) implies: % 236.91/38.35 | (1585) all_756_0 = all_721_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1582), (1583) imply: % 236.91/38.35 | (1586) all_807_0 = all_774_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1581), (1583) imply: % 236.91/38.35 | (1587) all_807_0 = all_684_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (979), (980) imply: % 236.91/38.35 | (1588) all_739_1 = all_732_1 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1588) implies: % 236.91/38.35 | (1589) all_739_1 = all_732_1 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (980), (1538) imply: % 236.91/38.35 | (1590) all_732_1 = all_725_1 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1568), (1578) imply: % 236.91/38.35 | (1591) all_794_0 = all_710_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1591) implies: % 236.91/38.35 | (1592) all_794_0 = all_710_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1586), (1587) imply: % 236.91/38.35 | (1593) all_774_0 = all_684_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1593) implies: % 236.91/38.35 | (1594) all_774_0 = all_684_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (918), (1592) imply: % 236.91/38.35 | (1595) all_762_0 = all_710_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1595) implies: % 236.91/38.35 | (1596) all_762_0 = all_710_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (917), (1580) imply: % 236.91/38.35 | (1597) all_769_0 = all_696_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1597) implies: % 236.91/38.35 | (1598) all_769_0 = all_696_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (916), (1574) imply: % 236.91/38.35 | (1599) all_759_0 = all_718_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1599) implies: % 236.91/38.35 | (1600) all_759_0 = all_718_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (915), (1598) imply: % 236.91/38.35 | (1601) all_737_1 = all_696_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1601) implies: % 236.91/38.35 | (1602) all_737_1 = all_696_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (914), (1596) imply: % 236.91/38.35 | (1603) all_748_0 = all_710_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1603) implies: % 236.91/38.35 | (1604) all_748_0 = all_710_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1495), (1600) imply: % 236.91/38.35 | (1605) all_729_0 = all_718_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1605) implies: % 236.91/38.35 | (1606) all_729_0 = all_718_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1444), (1600) imply: % 236.91/38.35 | (1607) all_718_0 = all_712_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1036), (1037) imply: % 236.91/38.35 | (1608) all_744_0 = all_725_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1036), (1511) imply: % 236.91/38.35 | (1609) all_744_0 = all_739_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1036), (1585) imply: % 236.91/38.35 | (1610) all_744_0 = all_721_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (913), (1604) imply: % 236.91/38.35 | (1611) all_746_0 = all_710_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1611) implies: % 236.91/38.35 | (1612) all_746_0 = all_710_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1493), (1612) imply: % 236.91/38.35 | (1613) all_729_0 = all_710_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1613) implies: % 236.91/38.35 | (1614) all_729_0 = all_710_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1608), (1609) imply: % 236.91/38.35 | (1615) all_739_0 = all_725_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1609), (1610) imply: % 236.91/38.35 | (1616) all_739_0 = all_721_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1447), (1559) imply: % 236.91/38.35 | (1617) all_739_1 = c_Int_OPls % 236.91/38.35 | % 236.91/38.35 | SIMP: (1617) implies: % 236.91/38.35 | (1618) all_739_1 = c_Int_OPls % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1374), (1552) imply: % 236.91/38.35 | (1619) all_676_0 = all_674_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1619) implies: % 236.91/38.35 | (1620) all_676_0 = all_674_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1536), (1552) imply: % 236.91/38.35 | (1621) all_725_1 = all_674_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1621) implies: % 236.91/38.35 | (1622) all_725_1 = all_674_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1615), (1616) imply: % 236.91/38.35 | (1623) all_725_0 = all_721_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1623) implies: % 236.91/38.35 | (1624) all_725_0 = all_721_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (978), (1589) imply: % 236.91/38.35 | (1625) all_734_0 = all_732_1 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (978), (1618) imply: % 236.91/38.35 | (1626) all_734_0 = c_Int_OPls % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1442), (1602) imply: % 236.91/38.35 | (1627) all_712_0 = all_696_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1627) implies: % 236.91/38.35 | (1628) all_712_0 = all_696_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1625), (1626) imply: % 236.91/38.35 | (1629) all_732_1 = c_Int_OPls % 236.91/38.35 | % 236.91/38.35 | SIMP: (1629) implies: % 236.91/38.35 | (1630) all_732_1 = c_Int_OPls % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1590), (1630) imply: % 236.91/38.35 | (1631) all_725_1 = c_Int_OPls % 236.91/38.35 | % 236.91/38.35 | SIMP: (1631) implies: % 236.91/38.35 | (1632) all_725_1 = c_Int_OPls % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1606), (1614) imply: % 236.91/38.35 | (1633) all_718_0 = all_710_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1633) implies: % 236.91/38.35 | (1634) all_718_0 = all_710_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1035), (1624) imply: % 236.91/38.35 | (1635) all_721_0 = all_670_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1622), (1632) imply: % 236.91/38.35 | (1636) all_674_0 = c_Int_OPls % 236.91/38.35 | % 236.91/38.35 | SIMP: (1636) implies: % 236.91/38.35 | (1637) all_674_0 = c_Int_OPls % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1607), (1634) imply: % 236.91/38.35 | (1638) all_712_0 = all_710_0 % 236.91/38.35 | % 236.91/38.35 | SIMP: (1638) implies: % 236.91/38.35 | (1639) all_712_0 = all_710_0 % 236.91/38.35 | % 236.91/38.35 | COMBINE_EQS: (1440), (1639) imply: % 237.18/38.35 | (1640) all_710_0 = all_704_0 % 237.18/38.35 | % 237.18/38.35 | COMBINE_EQS: (1628), (1639) imply: % 237.18/38.35 | (1641) all_710_0 = all_696_0 % 237.18/38.35 | % 237.18/38.35 | COMBINE_EQS: (1640), (1641) imply: % 237.18/38.35 | (1642) all_704_0 = all_696_0 % 237.18/38.35 | % 237.18/38.35 | SIMP: (1642) implies: % 237.18/38.35 | (1643) all_704_0 = all_696_0 % 237.18/38.35 | % 237.18/38.35 | COMBINE_EQS: (912), (1458) imply: % 237.18/38.35 | (1644) all_701_0 = all_662_0 % 237.18/38.35 | % 237.18/38.35 | COMBINE_EQS: (912), (1231) imply: % 237.18/38.36 | (1645) all_701_0 = all_672_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (912), (1643) imply: % 237.18/38.36 | (1646) all_701_0 = all_696_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1645), (1646) imply: % 237.18/38.36 | (1647) all_696_0 = all_672_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1644), (1646) imply: % 237.18/38.36 | (1648) all_696_0 = all_662_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1647), (1648) imply: % 237.18/38.36 | (1649) all_672_0 = all_662_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1496), (1557) imply: % 237.18/38.36 | (1650) all_676_0 = all_652_0 % 237.18/38.36 | % 237.18/38.36 | SIMP: (1650) implies: % 237.18/38.36 | (1651) all_676_0 = all_652_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1620), (1651) imply: % 237.18/38.36 | (1652) all_674_0 = all_652_0 % 237.18/38.36 | % 237.18/38.36 | SIMP: (1652) implies: % 237.18/38.36 | (1653) all_674_0 = all_652_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1637), (1653) imply: % 237.18/38.36 | (1654) all_652_0 = c_Int_OPls % 237.18/38.36 | % 237.18/38.36 | SIMP: (1654) implies: % 237.18/38.36 | (1655) all_652_0 = c_Int_OPls % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1641), (1648) imply: % 237.18/38.36 | (1656) all_710_0 = all_662_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1576), (1635) imply: % 237.18/38.36 | (1657) all_821_1 = all_670_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1491), (1587) imply: % 237.18/38.36 | (1658) all_930_0 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1524), (1632) imply: % 237.18/38.36 | (1659) all_962_0 = c_Int_OPls % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1489), (1587) imply: % 237.18/38.36 | (1660) all_1010_2 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1481), (1587) imply: % 237.18/38.36 | (1661) all_1016_1 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1462), (1656) imply: % 237.18/38.36 | (1662) all_1027_3 = all_662_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1460), (1587) imply: % 237.18/38.36 | (1663) all_1027_2 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1413), (1655) imply: % 237.18/38.36 | (1664) all_1032_3 = c_Int_OPls % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1464), (1658) imply: % 237.18/38.36 | (1665) all_1034_2 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1468), (1581) imply: % 237.18/38.36 | (1666) all_1037_0 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (994), (1659) imply: % 237.18/38.36 | (1667) all_1040_3 = c_Int_OPls % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1414), (1666) imply: % 237.18/38.36 | (1668) all_1040_2 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1418), (1658) imply: % 237.18/38.36 | (1669) all_1054_0 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1237), (1587) imply: % 237.18/38.36 | (1670) all_1065_2 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1366), (1658) imply: % 237.18/38.36 | (1671) all_1143_3 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1407), (1668) imply: % 237.18/38.36 | (1672) all_1145_2 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1395), (1666) imply: % 237.18/38.36 | (1673) all_1154_3 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1405), (1668) imply: % 237.18/38.36 | (1674) all_1156_3 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1401), (1668) imply: % 237.18/38.36 | (1675) all_1158_3 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1399), (1668) imply: % 237.18/38.36 | (1676) all_1166_1 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1397), (1668) imply: % 237.18/38.36 | (1677) all_1169_2 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1382), (1668) imply: % 237.18/38.36 | (1678) all_1172_2 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1353), (1666) imply: % 237.18/38.36 | (1679) all_1175_2 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1338), (1581) imply: % 237.18/38.36 | (1680) all_1178_2 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1332), (1677) imply: % 237.18/38.36 | (1681) all_1202_2 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1368), (1668) imply: % 237.18/38.36 | (1682) all_1208_2 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1364), (1668) imply: % 237.18/38.36 | (1683) all_1236_1 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1358), (1658) imply: % 237.18/38.36 | (1684) all_1251_0 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1360), (1668) imply: % 237.18/38.36 | (1685) all_1257_2 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1334), (1668) imply: % 237.18/38.36 | (1686) all_1263_2 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1348), (1684) imply: % 237.18/38.36 | (1687) all_1266_2 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1270), (1682) imply: % 237.18/38.36 | (1688) all_1269_2 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1322), (1666) imply: % 237.18/38.36 | (1689) all_1272_0 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1310), (1669) imply: % 237.18/38.36 | (1690) all_1275_2 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1340), (1684) imply: % 237.18/38.36 | (1691) all_1278_2 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1214), (1684) imply: % 237.18/38.36 | (1692) all_1298_2 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1197), (1581) imply: % 237.18/38.36 | (1693) all_1301_2 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1290), (1668) imply: % 237.18/38.36 | (1694) all_1307_2 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1295), (1677) imply: % 237.18/38.36 | (1695) all_1310_3 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1305), (1687) imply: % 237.18/38.36 | (1696) all_1319_1 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1264), (1666) imply: % 237.18/38.36 | (1697) all_1328_3 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1275), (1691) imply: % 237.18/38.36 | (1698) all_1331_2 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1273), (1594) imply: % 237.18/38.36 | (1699) all_1349_2 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1229), (1696) imply: % 237.18/38.36 | (1700) all_1352_2 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1235), (1677) imply: % 237.18/38.36 | (1701) all_1361_3 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1268), (1665) imply: % 237.18/38.36 | (1702) all_1373_0 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1247), (1691) imply: % 237.18/38.36 | (1703) all_1382_2 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1254), (1594) imply: % 237.18/38.36 | (1704) all_1385_1 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1177), (1688) imply: % 237.18/38.36 | (1705) all_1388_2 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1083), (1702) imply: % 237.18/38.36 | (1706) all_1391_2 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1088), (1666) imply: % 237.18/38.36 | (1707) all_1394_2 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1203), (1668) imply: % 237.18/38.36 | (1708) all_1400_2 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1090), (1594) imply: % 237.18/38.36 | (1709) all_1415_2 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1222), (1675) imply: % 237.18/38.36 | (1710) all_1418_2 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1166), (1691) imply: % 237.18/38.36 | (1711) all_1424_2 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1095), (1689) imply: % 237.18/38.36 | (1712) all_1427_2 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1097), (1665) imply: % 237.18/38.36 | (1713) all_1430_2 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1099), (1681) imply: % 237.18/38.36 | (1714) all_1442_2 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1190), (1587) imply: % 237.18/38.36 | (1715) all_1445_2 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1104), (1677) imply: % 237.18/38.36 | (1716) all_1451_3 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1105), (1700) imply: % 237.18/38.36 | (1717) all_1460_3 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1111), (1675) imply: % 237.18/38.36 | (1718) all_1469_3 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1113), (1692) imply: % 237.18/38.36 | (1719) all_1481_3 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1115), (1708) imply: % 237.18/38.36 | (1720) all_1508_3 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1161), (1693) imply: % 237.18/38.36 | (1721) all_1520_2 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1184), (1658) imply: % 237.18/38.36 | (1722) all_1526_4 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1158), (1587) imply: % 237.18/38.36 | (1723) all_1532_2 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1179), (1658) imply: % 237.18/38.36 | (1724) all_1535_2 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1123), (1233) imply: % 237.18/38.36 | (1725) all_1541_3 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1163), (1658) imply: % 237.18/38.36 | (1726) all_1547_2 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1171), (1705) imply: % 237.18/38.36 | (1727) all_1550_3 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1128), (1727) imply: % 237.18/38.36 | (1728) all_1559_3 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1135), (1691) imply: % 237.18/38.36 | (1729) all_1562_4 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1137), (1658) imply: % 237.18/38.36 | (1730) all_1573_4 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1138), (1721) imply: % 237.18/38.36 | (1731) all_1575_2 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | COMBINE_EQS: (1143), (1587) imply: % 237.18/38.36 | (1732) all_1578_5 = all_684_0 % 237.18/38.36 | % 237.18/38.36 | REDUCE: (897), (1732) imply: % 237.18/38.36 | (1733) c_Int_OBit0(all_684_0) = all_1578_4 % 237.18/38.36 | % 237.18/38.36 | REDUCE: (892), (1731) imply: % 237.18/38.36 | (1734) c_Int_OBit0(all_684_0) = all_1575_1 % 237.18/38.36 | % 237.18/38.36 | REDUCE: (888), (1730) imply: % 237.18/38.36 | (1735) c_Int_OBit0(all_684_0) = all_1573_3 % 237.18/38.36 | % 237.18/38.36 | REDUCE: (846), (1729) imply: % 237.18/38.36 | (1736) c_Int_OBit0(all_684_0) = all_1562_3 % 237.18/38.36 | % 237.18/38.36 | REDUCE: (841), (1728) imply: % 237.18/38.36 | (1737) c_Int_OBit0(all_684_0) = all_1559_2 % 237.18/38.36 | % 237.18/38.36 | REDUCE: (836), (1127) imply: % 237.18/38.36 | (1738) c_Int_OBit0(all_684_0) = all_1553_3 % 237.18/38.36 | % 237.18/38.36 | REDUCE: (831), (1727) imply: % 237.18/38.36 | (1739) c_Int_OBit0(all_684_0) = all_1550_2 % 237.18/38.36 | % 237.18/38.36 | REDUCE: (827), (1726) imply: % 237.18/38.36 | (1740) c_Int_OBit0(all_684_0) = all_1547_1 % 237.18/38.36 | % 237.18/38.36 | REDUCE: (822), (1725) imply: % 237.18/38.36 | (1741) c_Int_OBit0(all_684_0) = all_1541_2 % 237.18/38.36 | % 237.18/38.36 | REDUCE: (817), (1724) imply: % 237.18/38.36 | (1742) c_Int_OBit0(all_684_0) = all_1535_1 % 237.18/38.36 | % 237.18/38.36 | REDUCE: (811), (1723) imply: % 237.18/38.36 | (1743) c_Int_OBit0(all_684_0) = all_1532_1 % 237.18/38.36 | % 237.18/38.36 | REDUCE: (805), (1722) imply: % 237.18/38.36 | (1744) c_Int_OBit0(all_684_0) = all_1526_3 % 237.18/38.36 | % 237.18/38.36 | REDUCE: (800), (1721) imply: % 237.18/38.36 | (1745) c_Int_OBit0(all_684_0) = all_1520_1 % 237.18/38.36 | % 237.18/38.36 | REDUCE: (796), (1173) imply: % 237.18/38.36 | (1746) c_Int_OBit0(all_684_0) = all_1517_1 % 237.18/38.36 | % 237.18/38.36 | REDUCE: (789), (1720) imply: % 237.18/38.36 | (1747) c_Int_OBit0(all_684_0) = all_1508_2 % 237.18/38.36 | % 237.18/38.36 | REDUCE: (777), (1719) imply: % 237.18/38.36 | (1748) c_Int_OBit0(all_684_0) = all_1481_2 % 237.18/38.36 | % 237.18/38.36 | REDUCE: (769), (1718) imply: % 237.18/38.36 | (1749) c_Int_OBit0(all_684_0) = all_1469_2 % 237.18/38.36 | % 237.18/38.36 | REDUCE: (763), (1717) imply: % 237.18/38.36 | (1750) c_Int_OBit0(all_684_0) = all_1460_2 % 237.18/38.36 | % 237.18/38.36 | REDUCE: (757), (1200) imply: % 237.18/38.36 | (1751) c_Int_OBit0(all_684_0) = all_1454_1 % 237.18/38.36 | % 237.18/38.36 | REDUCE: (753), (1716) imply: % 237.18/38.36 | (1752) c_Int_OBit0(all_684_0) = all_1451_2 % 237.18/38.36 | % 237.18/38.36 | REDUCE: (749), (1715) imply: % 237.18/38.36 | (1753) c_Int_OBit0(all_684_0) = all_1445_1 % 237.18/38.36 | % 237.18/38.36 | REDUCE: (745), (1714) imply: % 237.18/38.36 | (1754) c_Int_OBit0(all_684_0) = all_1442_1 % 237.18/38.36 | % 237.18/38.36 | REDUCE: (741), (1713) imply: % 237.18/38.36 | (1755) c_Int_OBit0(all_684_0) = all_1430_1 % 237.18/38.36 | % 237.18/38.36 | REDUCE: (737), (1712) imply: % 237.18/38.36 | (1756) c_Int_OBit0(all_684_0) = all_1427_1 % 237.18/38.36 | % 237.18/38.36 | REDUCE: (733), (1711) imply: % 237.21/38.36 | (1757) c_Int_OBit0(all_684_0) = all_1424_1 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (727), (1710) imply: % 237.21/38.36 | (1758) c_Int_OBit0(all_684_0) = all_1418_1 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (723), (1709) imply: % 237.21/38.36 | (1759) c_Int_OBit0(all_684_0) = all_1415_1 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (715), (1708) imply: % 237.21/38.36 | (1760) c_Int_OBit0(all_684_0) = all_1400_1 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (709), (1707) imply: % 237.21/38.36 | (1761) c_Int_OBit0(all_684_0) = all_1394_1 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (705), (1706) imply: % 237.21/38.36 | (1762) c_Int_OBit0(all_684_0) = all_1391_1 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (701), (1705) imply: % 237.21/38.36 | (1763) c_Int_OBit0(all_684_0) = all_1388_1 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (697), (1704) imply: % 237.21/38.36 | (1764) c_Int_OBit0(all_684_0) = all_1385_0 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (694), (1703) imply: % 237.21/38.36 | (1765) c_Int_OBit0(all_684_0) = all_1382_1 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (679), (1701) imply: % 237.21/38.36 | (1766) c_Int_OBit0(all_684_0) = all_1361_2 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (671), (1233) imply: % 237.21/38.36 | (1767) c_Int_OBit0(all_684_0) = all_1355_1 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (667), (1700) imply: % 237.21/38.36 | (1768) c_Int_OBit0(all_684_0) = all_1352_1 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (663), (1699) imply: % 237.21/38.36 | (1769) c_Int_OBit0(all_684_0) = all_1349_1 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (651), (1698) imply: % 237.21/38.36 | (1770) c_Int_OBit0(all_684_0) = all_1331_1 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (647), (1697) imply: % 237.21/38.36 | (1771) c_Int_OBit0(all_684_0) = all_1328_2 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (643), (1696) imply: % 237.21/38.36 | (1772) c_Int_OBit0(all_684_0) = all_1319_0 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (636), (1695) imply: % 237.21/38.36 | (1773) c_Int_OBit0(all_684_0) = all_1310_2 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (632), (1694) imply: % 237.21/38.36 | (1774) c_Int_OBit0(all_684_0) = all_1307_1 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (627), (1693) imply: % 237.21/38.36 | (1775) c_Int_OBit0(all_684_0) = all_1301_1 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (623), (1692) imply: % 237.21/38.36 | (1776) c_Int_OBit0(all_684_0) = all_1298_1 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (614), (1691) imply: % 237.21/38.36 | (1777) c_Int_OBit0(all_684_0) = all_1278_1 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (610), (1690) imply: % 237.21/38.36 | (1778) c_Int_OBit0(all_684_0) = all_1275_1 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (604), (1688) imply: % 237.21/38.36 | (1779) c_Int_OBit0(all_684_0) = all_1269_1 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (600), (1687) imply: % 237.21/38.36 | (1780) c_Int_OBit0(all_684_0) = all_1266_1 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (596), (1686) imply: % 237.21/38.36 | (1781) c_Int_OBit0(all_684_0) = all_1263_1 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (590), (1685) imply: % 237.21/38.36 | (1782) c_Int_OBit0(all_684_0) = all_1257_1 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (575), (1683) imply: % 237.21/38.36 | (1783) c_Int_OBit0(all_684_0) = all_1236_0 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (562), (1682) imply: % 237.21/38.36 | (1784) c_Int_OBit0(all_684_0) = all_1208_1 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (558), (1681) imply: % 237.21/38.36 | (1785) c_Int_OBit0(all_684_0) = all_1202_1 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (548), (1680) imply: % 237.21/38.36 | (1786) c_Int_OBit0(all_684_0) = all_1178_1 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (544), (1679) imply: % 237.21/38.36 | (1787) c_Int_OBit0(all_684_0) = all_1175_1 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (540), (1678) imply: % 237.21/38.36 | (1788) c_Int_OBit0(all_684_0) = all_1172_1 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (536), (1677) imply: % 237.21/38.36 | (1789) c_Int_OBit0(all_684_0) = all_1169_1 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (532), (1676) imply: % 237.21/38.36 | (1790) c_Int_OBit0(all_684_0) = all_1166_0 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (527), (1675) imply: % 237.21/38.36 | (1791) c_Int_OBit0(all_684_0) = all_1158_2 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (522), (1674) imply: % 237.21/38.36 | (1792) c_Int_OBit0(all_684_0) = all_1156_2 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (518), (1673) imply: % 237.21/38.36 | (1793) c_Int_OBit0(all_684_0) = all_1154_2 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (510), (1672) imply: % 237.21/38.36 | (1794) c_Int_OBit0(all_684_0) = all_1145_1 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (506), (1671) imply: % 237.21/38.36 | (1795) c_Int_OBit0(all_684_0) = all_1143_2 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (469), (1670) imply: % 237.21/38.36 | (1796) c_Int_OBit0(all_684_0) = all_1065_1 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (451), (1665) imply: % 237.21/38.36 | (1797) c_Int_OBit0(all_684_0) = all_1034_1 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (447), (1301) imply: % 237.21/38.36 | (1798) c_Int_OBit0(all_684_0) = all_1032_1 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (441), (1663) imply: % 237.21/38.36 | (1799) c_Int_OBit0(all_684_0) = all_1027_1 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (431), (1661) imply: % 237.21/38.36 | (1800) c_Int_OBit0(all_684_0) = all_1016_0 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (426), (1660) imply: % 237.21/38.36 | (1801) c_Int_OBit0(all_684_0) = all_1010_1 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (345), (1477), (1657) imply: % 237.21/38.36 | (1802) c_Int_Onumber__class_Onumber__of(tc_Int_Oint, all_684_0) = all_670_0 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (267), (1649) imply: % 237.21/38.36 | (1803) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OPls) = % 237.21/38.36 | all_662_0 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (869), (1034) imply: % 237.21/38.36 | (1804) c_Complex_ORe(all_1247_2) = all_1571_7 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (867), (1034) imply: % 237.21/38.36 | (1805) c_Complex_OIm(all_1247_2) = all_1571_3 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (861), (1034) imply: % 237.21/38.36 | (1806) c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, all_1571_12, % 237.21/38.36 | all_1247_2) = all_1571_10 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (580), (1033) imply: % 237.21/38.36 | (1807) hAPP(all_656_0, v_n____) = all_1247_4 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (875), (911) imply: % 237.21/38.36 | (1808) hAPP(v_f____, all_692_0) = all_1573_13 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (855), (1164) imply: % 237.21/38.36 | (1809) hAPP(v_f____, all_692_0) = all_1571_13 % 237.21/38.36 | % 237.21/38.36 | REDUCE: (851), (1034) imply: % 237.21/38.36 | (1810) $i(all_1247_2) % 237.21/38.36 | % 237.21/38.36 | REDUCE: (850), (1164) imply: % 237.21/38.36 | (1811) $i(all_692_0) % 237.21/38.36 | % 237.21/38.36 | REDUCE: (329), (1594) imply: % 237.21/38.36 | (1812) $i(all_684_0) % 237.21/38.36 | % 237.21/38.36 | REDUCE: (256), (1655) imply: % 237.21/38.36 | (1813) $i(c_Int_OPls) % 237.21/38.36 | % 237.21/38.36 | REDUCE: (456), (1667) imply: % 237.21/38.36 | (1814) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, % 237.21/38.36 | all_1040_0) % 237.21/38.36 | % 237.21/38.36 | REDUCE: (444), (1664) imply: % 237.21/38.36 | (1815) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, % 237.21/38.36 | all_1032_0) % 237.21/38.36 | % 237.21/38.36 | REDUCE: (269), (1637) imply: % 237.21/38.36 | (1816) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, % 237.21/38.36 | c_Int_OPls) % 237.21/38.36 | % 237.21/38.36 | REDUCE: (438), (1662) imply: % 237.21/38.36 | (1817) c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_662_0, all_1027_0) % 237.21/38.36 | % 237.21/38.36 | GROUND_INST: instantiating (246) with all_1571_13, all_1573_13, all_692_0, % 237.21/38.36 | v_f____, simplifying with (1808), (1809) gives: % 237.21/38.36 | (1818) all_1573_13 = all_1571_13 % 237.21/38.36 | % 237.21/38.36 | GROUND_INST: instantiating (244) with all_1032_1, all_1034_1, all_684_0, % 237.21/38.36 | simplifying with (1797), (1798) gives: % 237.21/38.36 | (1819) all_1034_1 = all_1032_1 % 237.21/38.36 | % 237.21/38.36 | GROUND_INST: instantiating (244) with all_1034_1, all_1065_1, all_684_0, % 237.21/38.36 | simplifying with (1796), (1797) gives: % 237.21/38.36 | (1820) all_1065_1 = all_1034_1 % 237.21/38.36 | % 237.21/38.36 | GROUND_INST: instantiating (244) with all_1065_1, all_1143_2, all_684_0, % 237.21/38.36 | simplifying with (1795), (1796) gives: % 237.21/38.36 | (1821) all_1143_2 = all_1065_1 % 237.21/38.36 | % 237.21/38.36 | GROUND_INST: instantiating (244) with all_1143_2, all_1156_2, all_684_0, % 237.21/38.36 | simplifying with (1792), (1795) gives: % 237.21/38.36 | (1822) all_1156_2 = all_1143_2 % 237.21/38.36 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1156_2, all_1158_2, all_684_0, % 237.21/38.37 | simplifying with (1791), (1792) gives: % 237.21/38.37 | (1823) all_1158_2 = all_1156_2 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1158_2, all_1166_0, all_684_0, % 237.21/38.37 | simplifying with (1790), (1791) gives: % 237.21/38.37 | (1824) all_1166_0 = all_1158_2 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1166_0, all_1169_1, all_684_0, % 237.21/38.37 | simplifying with (1789), (1790) gives: % 237.21/38.37 | (1825) all_1169_1 = all_1166_0 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1172_1, all_1175_1, all_684_0, % 237.21/38.37 | simplifying with (1787), (1788) gives: % 237.21/38.37 | (1826) all_1175_1 = all_1172_1 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1169_1, all_1175_1, all_684_0, % 237.21/38.37 | simplifying with (1787), (1789) gives: % 237.21/38.37 | (1827) all_1175_1 = all_1169_1 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1175_1, all_1202_1, all_684_0, % 237.21/38.37 | simplifying with (1785), (1787) gives: % 237.21/38.37 | (1828) all_1202_1 = all_1175_1 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1202_1, all_1236_0, all_684_0, % 237.21/38.37 | simplifying with (1783), (1785) gives: % 237.21/38.37 | (1829) all_1236_0 = all_1202_1 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1154_2, all_1236_0, all_684_0, % 237.21/38.37 | simplifying with (1783), (1793) gives: % 237.21/38.37 | (1830) all_1236_0 = all_1154_2 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1236_0, all_1257_1, all_684_0, % 237.21/38.37 | simplifying with (1782), (1783) gives: % 237.21/38.37 | (1831) all_1257_1 = all_1236_0 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1202_1, all_1269_1, all_684_0, % 237.21/38.37 | simplifying with (1779), (1785) gives: % 237.21/38.37 | (1832) all_1269_1 = all_1202_1 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1266_1, all_1298_1, all_684_0, % 237.21/38.37 | simplifying with (1776), (1780) gives: % 237.21/38.37 | (1833) all_1298_1 = all_1266_1 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1298_1, all_1301_1, all_684_0, % 237.21/38.37 | simplifying with (1775), (1776) gives: % 237.21/38.37 | (1834) all_1301_1 = all_1298_1 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1301_1, all_1307_1, all_684_0, % 237.21/38.37 | simplifying with (1774), (1775) gives: % 237.21/38.37 | (1835) all_1307_1 = all_1301_1 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1269_1, all_1310_2, all_684_0, % 237.21/38.37 | simplifying with (1773), (1779) gives: % 237.21/38.37 | (1836) all_1310_2 = all_1269_1 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1310_2, all_1319_0, all_684_0, % 237.21/38.37 | simplifying with (1772), (1773) gives: % 237.21/38.37 | (1837) all_1319_0 = all_1310_2 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1307_1, all_1352_1, all_684_0, % 237.21/38.37 | simplifying with (1768), (1774) gives: % 237.21/38.37 | (1838) all_1352_1 = all_1307_1 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1275_1, all_1352_1, all_684_0, % 237.21/38.37 | simplifying with (1768), (1778) gives: % 237.21/38.37 | (1839) all_1352_1 = all_1275_1 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1266_1, all_1385_0, all_684_0, % 237.21/38.37 | simplifying with (1764), (1780) gives: % 237.21/38.37 | (1840) all_1385_0 = all_1266_1 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1257_1, all_1385_0, all_684_0, % 237.21/38.37 | simplifying with (1764), (1782) gives: % 237.21/38.37 | (1841) all_1385_0 = all_1257_1 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1352_1, all_1391_1, all_684_0, % 237.21/38.37 | simplifying with (1762), (1768) gives: % 237.21/38.37 | (1842) all_1391_1 = all_1352_1 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1391_1, all_1394_1, all_684_0, % 237.21/38.37 | simplifying with (1761), (1762) gives: % 237.21/38.37 | (1843) all_1394_1 = all_1391_1 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1355_1, all_1400_1, all_684_0, % 237.21/38.37 | simplifying with (1760), (1767) gives: % 237.21/38.37 | (1844) all_1400_1 = all_1355_1 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1328_2, all_1400_1, all_684_0, % 237.21/38.37 | simplifying with (1760), (1771) gives: % 237.21/38.37 | (1845) all_1400_1 = all_1328_2 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1388_1, all_1415_1, all_684_0, % 237.21/38.37 | simplifying with (1759), (1763) gives: % 237.21/38.37 | (1846) all_1415_1 = all_1388_1 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1361_2, all_1415_1, all_684_0, % 237.21/38.37 | simplifying with (1759), (1766) gives: % 237.21/38.37 | (1847) all_1415_1 = all_1361_2 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1319_0, all_1415_1, all_684_0, % 237.21/38.37 | simplifying with (1759), (1772) gives: % 237.21/38.37 | (1848) all_1415_1 = all_1319_0 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1145_1, all_1418_1, all_684_0, % 237.21/38.37 | simplifying with (1758), (1794) gives: % 237.21/38.37 | (1849) all_1418_1 = all_1145_1 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1032_1, all_1418_1, all_684_0, % 237.21/38.37 | simplifying with (1758), (1798) gives: % 237.21/38.37 | (1850) all_1418_1 = all_1032_1 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1027_1, all_1418_1, all_684_0, % 237.21/38.37 | simplifying with (1758), (1799) gives: % 237.21/38.37 | (1851) all_1418_1 = all_1027_1 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1016_0, all_1418_1, all_684_0, % 237.21/38.37 | simplifying with (1758), (1800) gives: % 237.21/38.37 | (1852) all_1418_1 = all_1016_0 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1355_1, all_1427_1, all_684_0, % 237.21/38.37 | simplifying with (1756), (1767) gives: % 237.21/38.37 | (1853) all_1427_1 = all_1355_1 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1400_1, all_1430_1, all_684_0, % 237.21/38.37 | simplifying with (1755), (1760) gives: % 237.21/38.37 | (1854) all_1430_1 = all_1400_1 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1349_1, all_1430_1, all_684_0, % 237.21/38.37 | simplifying with (1755), (1769) gives: % 237.21/38.37 | (1855) all_1430_1 = all_1349_1 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1385_0, all_1442_1, all_684_0, % 237.21/38.37 | simplifying with (1754), (1764) gives: % 237.21/38.37 | (1856) all_1442_1 = all_1385_0 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1156_2, all_1445_1, all_684_0, % 237.21/38.37 | simplifying with (1753), (1792) gives: % 237.21/38.37 | (1857) all_1445_1 = all_1156_2 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1394_1, all_1451_2, all_684_0, % 237.21/38.37 | simplifying with (1752), (1761) gives: % 237.21/38.37 | (1858) all_1451_2 = all_1394_1 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1400_1, all_1454_1, all_684_0, % 237.21/38.37 | simplifying with (1751), (1760) gives: % 237.21/38.37 | (1859) all_1454_1 = all_1400_1 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1382_1, all_1454_1, all_684_0, % 237.21/38.37 | simplifying with (1751), (1765) gives: % 237.21/38.37 | (1860) all_1454_1 = all_1382_1 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1451_2, all_1460_2, all_684_0, % 237.21/38.37 | simplifying with (1750), (1752) gives: % 237.21/38.37 | (1861) all_1460_2 = all_1451_2 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1442_1, all_1481_2, all_684_0, % 237.21/38.37 | simplifying with (1748), (1754) gives: % 237.21/38.37 | (1862) all_1481_2 = all_1442_1 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1328_2, all_1508_2, all_684_0, % 237.21/38.37 | simplifying with (1747), (1771) gives: % 237.21/38.37 | (1863) all_1508_2 = all_1328_2 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1298_1, all_1508_2, all_684_0, % 237.21/38.37 | simplifying with (1747), (1776) gives: % 237.21/38.37 | (1864) all_1508_2 = all_1298_1 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1278_1, all_1508_2, all_684_0, % 237.21/38.37 | simplifying with (1747), (1777) gives: % 237.21/38.37 | (1865) all_1508_2 = all_1278_1 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1481_2, all_1520_1, all_684_0, % 237.21/38.37 | simplifying with (1745), (1748) gives: % 237.21/38.37 | (1866) all_1520_1 = all_1481_2 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1263_1, all_1520_1, all_684_0, % 237.21/38.37 | simplifying with (1745), (1781) gives: % 237.21/38.37 | (1867) all_1520_1 = all_1263_1 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1460_2, all_1526_3, all_684_0, % 237.21/38.37 | simplifying with (1744), (1750) gives: % 237.21/38.37 | (1868) all_1526_3 = all_1460_2 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1451_2, all_1532_1, all_684_0, % 237.21/38.37 | simplifying with (1743), (1752) gives: % 237.21/38.37 | (1869) all_1532_1 = all_1451_2 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1424_1, all_1532_1, all_684_0, % 237.21/38.37 | simplifying with (1743), (1757) gives: % 237.21/38.37 | (1870) all_1532_1 = all_1424_1 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1427_1, all_1535_1, all_684_0, % 237.21/38.37 | simplifying with (1742), (1756) gives: % 237.21/38.37 | (1871) all_1535_1 = all_1427_1 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1208_1, all_1535_1, all_684_0, % 237.21/38.37 | simplifying with (1742), (1784) gives: % 237.21/38.37 | (1872) all_1535_1 = all_1208_1 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1517_1, all_1541_2, all_684_0, % 237.21/38.37 | simplifying with (1741), (1746) gives: % 237.21/38.37 | (1873) all_1541_2 = all_1517_1 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1388_1, all_1541_2, all_684_0, % 237.21/38.37 | simplifying with (1741), (1763) gives: % 237.21/38.37 | (1874) all_1541_2 = all_1388_1 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1178_1, all_1541_2, all_684_0, % 237.21/38.37 | simplifying with (1741), (1786) gives: % 237.21/38.37 | (1875) all_1541_2 = all_1178_1 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1526_3, all_1547_1, all_684_0, % 237.21/38.37 | simplifying with (1740), (1744) gives: % 237.21/38.37 | (1876) all_1547_1 = all_1526_3 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1445_1, all_1550_2, all_684_0, % 237.21/38.37 | simplifying with (1739), (1753) gives: % 237.21/38.37 | (1877) all_1550_2 = all_1445_1 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1508_2, all_1559_2, all_684_0, % 237.21/38.37 | simplifying with (1737), (1747) gives: % 237.21/38.37 | (1878) all_1559_2 = all_1508_2 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1469_2, all_1559_2, all_684_0, % 237.21/38.37 | simplifying with (1737), (1749) gives: % 237.21/38.37 | (1879) all_1559_2 = all_1469_2 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1550_2, all_1562_3, all_684_0, % 237.21/38.37 | simplifying with (1736), (1739) gives: % 237.21/38.37 | (1880) all_1562_3 = all_1550_2 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1562_3, all_1573_3, all_684_0, % 237.21/38.37 | simplifying with (1735), (1736) gives: % 237.21/38.37 | (1881) all_1573_3 = all_1562_3 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1010_1, all_1573_3, all_684_0, % 237.21/38.37 | simplifying with (1735), (1801) gives: % 237.21/38.37 | (1882) all_1573_3 = all_1010_1 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1553_3, all_1575_1, all_684_0, % 237.21/38.37 | simplifying with (1734), (1738) gives: % 237.21/38.37 | (1883) all_1575_1 = all_1553_3 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1547_1, all_1575_1, all_684_0, % 237.21/38.37 | simplifying with (1734), (1740) gives: % 237.21/38.37 | (1884) all_1575_1 = all_1547_1 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1575_1, all_1578_4, all_684_0, % 237.21/38.37 | simplifying with (1733), (1734) gives: % 237.21/38.37 | (1885) all_1578_4 = all_1575_1 % 237.21/38.37 | % 237.21/38.37 | GROUND_INST: instantiating (244) with all_1331_1, all_1578_4, all_684_0, % 237.21/38.37 | simplifying with (1733), (1770) gives: % 237.21/38.37 | (1886) all_1578_4 = all_1331_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1885), (1886) imply: % 237.21/38.37 | (1887) all_1575_1 = all_1331_1 % 237.21/38.37 | % 237.21/38.37 | SIMP: (1887) implies: % 237.21/38.37 | (1888) all_1575_1 = all_1331_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1883), (1888) imply: % 237.21/38.37 | (1889) all_1553_3 = all_1331_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1883), (1884) imply: % 237.21/38.37 | (1890) all_1553_3 = all_1547_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1881), (1882) imply: % 237.21/38.37 | (1891) all_1562_3 = all_1010_1 % 237.21/38.37 | % 237.21/38.37 | SIMP: (1891) implies: % 237.21/38.37 | (1892) all_1562_3 = all_1010_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1880), (1892) imply: % 237.21/38.37 | (1893) all_1550_2 = all_1010_1 % 237.21/38.37 | % 237.21/38.37 | SIMP: (1893) implies: % 237.21/38.37 | (1894) all_1550_2 = all_1010_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1878), (1879) imply: % 237.21/38.37 | (1895) all_1508_2 = all_1469_2 % 237.21/38.37 | % 237.21/38.37 | SIMP: (1895) implies: % 237.21/38.37 | (1896) all_1508_2 = all_1469_2 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1889), (1890) imply: % 237.21/38.37 | (1897) all_1547_1 = all_1331_1 % 237.21/38.37 | % 237.21/38.37 | SIMP: (1897) implies: % 237.21/38.37 | (1898) all_1547_1 = all_1331_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1877), (1894) imply: % 237.21/38.37 | (1899) all_1445_1 = all_1010_1 % 237.21/38.37 | % 237.21/38.37 | SIMP: (1899) implies: % 237.21/38.37 | (1900) all_1445_1 = all_1010_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1876), (1898) imply: % 237.21/38.37 | (1901) all_1526_3 = all_1331_1 % 237.21/38.37 | % 237.21/38.37 | SIMP: (1901) implies: % 237.21/38.37 | (1902) all_1526_3 = all_1331_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1873), (1874) imply: % 237.21/38.37 | (1903) all_1517_1 = all_1388_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1873), (1875) imply: % 237.21/38.37 | (1904) all_1517_1 = all_1178_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1871), (1872) imply: % 237.21/38.37 | (1905) all_1427_1 = all_1208_1 % 237.21/38.37 | % 237.21/38.37 | SIMP: (1905) implies: % 237.21/38.37 | (1906) all_1427_1 = all_1208_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1869), (1870) imply: % 237.21/38.37 | (1907) all_1451_2 = all_1424_1 % 237.21/38.37 | % 237.21/38.37 | SIMP: (1907) implies: % 237.21/38.37 | (1908) all_1451_2 = all_1424_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1868), (1902) imply: % 237.21/38.37 | (1909) all_1460_2 = all_1331_1 % 237.21/38.37 | % 237.21/38.37 | SIMP: (1909) implies: % 237.21/38.37 | (1910) all_1460_2 = all_1331_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1866), (1867) imply: % 237.21/38.37 | (1911) all_1481_2 = all_1263_1 % 237.21/38.37 | % 237.21/38.37 | SIMP: (1911) implies: % 237.21/38.37 | (1912) all_1481_2 = all_1263_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1903), (1904) imply: % 237.21/38.37 | (1913) all_1388_1 = all_1178_1 % 237.21/38.37 | % 237.21/38.37 | SIMP: (1913) implies: % 237.21/38.37 | (1914) all_1388_1 = all_1178_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1865), (1896) imply: % 237.21/38.37 | (1915) all_1469_2 = all_1278_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1863), (1896) imply: % 237.21/38.37 | (1916) all_1469_2 = all_1328_2 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1864), (1896) imply: % 237.21/38.37 | (1917) all_1469_2 = all_1298_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1862), (1912) imply: % 237.21/38.37 | (1918) all_1442_1 = all_1263_1 % 237.21/38.37 | % 237.21/38.37 | SIMP: (1918) implies: % 237.21/38.37 | (1919) all_1442_1 = all_1263_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1915), (1916) imply: % 237.21/38.37 | (1920) all_1328_2 = all_1278_1 % 237.21/38.37 | % 237.21/38.37 | SIMP: (1920) implies: % 237.21/38.37 | (1921) all_1328_2 = all_1278_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1915), (1917) imply: % 237.21/38.37 | (1922) all_1298_1 = all_1278_1 % 237.21/38.37 | % 237.21/38.37 | SIMP: (1922) implies: % 237.21/38.37 | (1923) all_1298_1 = all_1278_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1861), (1910) imply: % 237.21/38.37 | (1924) all_1451_2 = all_1331_1 % 237.21/38.37 | % 237.21/38.37 | SIMP: (1924) implies: % 237.21/38.37 | (1925) all_1451_2 = all_1331_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1859), (1860) imply: % 237.21/38.37 | (1926) all_1400_1 = all_1382_1 % 237.21/38.37 | % 237.21/38.37 | SIMP: (1926) implies: % 237.21/38.37 | (1927) all_1400_1 = all_1382_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1908), (1925) imply: % 237.21/38.37 | (1928) all_1424_1 = all_1331_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1858), (1908) imply: % 237.21/38.37 | (1929) all_1424_1 = all_1394_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1857), (1900) imply: % 237.21/38.37 | (1930) all_1156_2 = all_1010_1 % 237.21/38.37 | % 237.21/38.37 | SIMP: (1930) implies: % 237.21/38.37 | (1931) all_1156_2 = all_1010_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1856), (1919) imply: % 237.21/38.37 | (1932) all_1385_0 = all_1263_1 % 237.21/38.37 | % 237.21/38.37 | SIMP: (1932) implies: % 237.21/38.37 | (1933) all_1385_0 = all_1263_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1854), (1855) imply: % 237.21/38.37 | (1934) all_1400_1 = all_1349_1 % 237.21/38.37 | % 237.21/38.37 | SIMP: (1934) implies: % 237.21/38.37 | (1935) all_1400_1 = all_1349_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1853), (1906) imply: % 237.21/38.37 | (1936) all_1355_1 = all_1208_1 % 237.21/38.37 | % 237.21/38.37 | SIMP: (1936) implies: % 237.21/38.37 | (1937) all_1355_1 = all_1208_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1928), (1929) imply: % 237.21/38.37 | (1938) all_1394_1 = all_1331_1 % 237.21/38.37 | % 237.21/38.37 | SIMP: (1938) implies: % 237.21/38.37 | (1939) all_1394_1 = all_1331_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1849), (1852) imply: % 237.21/38.37 | (1940) all_1145_1 = all_1016_0 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1849), (1851) imply: % 237.21/38.37 | (1941) all_1145_1 = all_1027_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1849), (1850) imply: % 237.21/38.37 | (1942) all_1145_1 = all_1032_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1847), (1848) imply: % 237.21/38.37 | (1943) all_1361_2 = all_1319_0 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1846), (1847) imply: % 237.21/38.37 | (1944) all_1388_1 = all_1361_2 % 237.21/38.37 | % 237.21/38.37 | SIMP: (1944) implies: % 237.21/38.37 | (1945) all_1388_1 = all_1361_2 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1844), (1927) imply: % 237.21/38.37 | (1946) all_1382_1 = all_1355_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1927), (1935) imply: % 237.21/38.37 | (1947) all_1382_1 = all_1349_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1845), (1927) imply: % 237.21/38.37 | (1948) all_1382_1 = all_1328_2 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1843), (1939) imply: % 237.21/38.37 | (1949) all_1391_1 = all_1331_1 % 237.21/38.37 | % 237.21/38.37 | SIMP: (1949) implies: % 237.21/38.37 | (1950) all_1391_1 = all_1331_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1842), (1950) imply: % 237.21/38.37 | (1951) all_1352_1 = all_1331_1 % 237.21/38.37 | % 237.21/38.37 | SIMP: (1951) implies: % 237.21/38.37 | (1952) all_1352_1 = all_1331_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1914), (1945) imply: % 237.21/38.37 | (1953) all_1361_2 = all_1178_1 % 237.21/38.37 | % 237.21/38.37 | SIMP: (1953) implies: % 237.21/38.37 | (1954) all_1361_2 = all_1178_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1840), (1933) imply: % 237.21/38.37 | (1955) all_1266_1 = all_1263_1 % 237.21/38.37 | % 237.21/38.37 | SIMP: (1955) implies: % 237.21/38.37 | (1956) all_1266_1 = all_1263_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1841), (1933) imply: % 237.21/38.37 | (1957) all_1263_1 = all_1257_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1947), (1948) imply: % 237.21/38.37 | (1958) all_1349_1 = all_1328_2 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1946), (1947) imply: % 237.21/38.37 | (1959) all_1355_1 = all_1349_1 % 237.21/38.37 | % 237.21/38.37 | SIMP: (1959) implies: % 237.21/38.37 | (1960) all_1355_1 = all_1349_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1943), (1954) imply: % 237.21/38.37 | (1961) all_1319_0 = all_1178_1 % 237.21/38.37 | % 237.21/38.37 | SIMP: (1961) implies: % 237.21/38.37 | (1962) all_1319_0 = all_1178_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1937), (1960) imply: % 237.21/38.37 | (1963) all_1349_1 = all_1208_1 % 237.21/38.37 | % 237.21/38.37 | SIMP: (1963) implies: % 237.21/38.37 | (1964) all_1349_1 = all_1208_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1839), (1952) imply: % 237.21/38.37 | (1965) all_1331_1 = all_1275_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1838), (1952) imply: % 237.21/38.37 | (1966) all_1331_1 = all_1307_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1958), (1964) imply: % 237.21/38.37 | (1967) all_1328_2 = all_1208_1 % 237.21/38.37 | % 237.21/38.37 | SIMP: (1967) implies: % 237.21/38.37 | (1968) all_1328_2 = all_1208_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1965), (1966) imply: % 237.21/38.37 | (1969) all_1307_1 = all_1275_1 % 237.21/38.37 | % 237.21/38.37 | SIMP: (1969) implies: % 237.21/38.37 | (1970) all_1307_1 = all_1275_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1921), (1968) imply: % 237.21/38.37 | (1971) all_1278_1 = all_1208_1 % 237.21/38.37 | % 237.21/38.37 | SIMP: (1971) implies: % 237.21/38.37 | (1972) all_1278_1 = all_1208_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1837), (1962) imply: % 237.21/38.37 | (1973) all_1310_2 = all_1178_1 % 237.21/38.37 | % 237.21/38.37 | SIMP: (1973) implies: % 237.21/38.37 | (1974) all_1310_2 = all_1178_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1836), (1974) imply: % 237.21/38.37 | (1975) all_1269_1 = all_1178_1 % 237.21/38.37 | % 237.21/38.37 | SIMP: (1975) implies: % 237.21/38.37 | (1976) all_1269_1 = all_1178_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1835), (1970) imply: % 237.21/38.37 | (1977) all_1301_1 = all_1275_1 % 237.21/38.37 | % 237.21/38.37 | SIMP: (1977) implies: % 237.21/38.37 | (1978) all_1301_1 = all_1275_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1834), (1978) imply: % 237.21/38.37 | (1979) all_1298_1 = all_1275_1 % 237.21/38.37 | % 237.21/38.37 | SIMP: (1979) implies: % 237.21/38.37 | (1980) all_1298_1 = all_1275_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1833), (1980) imply: % 237.21/38.37 | (1981) all_1275_1 = all_1266_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1923), (1980) imply: % 237.21/38.37 | (1982) all_1278_1 = all_1275_1 % 237.21/38.37 | % 237.21/38.37 | SIMP: (1982) implies: % 237.21/38.37 | (1983) all_1278_1 = all_1275_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1972), (1983) imply: % 237.21/38.37 | (1984) all_1275_1 = all_1208_1 % 237.21/38.37 | % 237.21/38.37 | SIMP: (1984) implies: % 237.21/38.37 | (1985) all_1275_1 = all_1208_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1981), (1985) imply: % 237.21/38.37 | (1986) all_1266_1 = all_1208_1 % 237.21/38.37 | % 237.21/38.37 | SIMP: (1986) implies: % 237.21/38.37 | (1987) all_1266_1 = all_1208_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1832), (1976) imply: % 237.21/38.37 | (1988) all_1202_1 = all_1178_1 % 237.21/38.37 | % 237.21/38.37 | SIMP: (1988) implies: % 237.21/38.37 | (1989) all_1202_1 = all_1178_1 % 237.21/38.37 | % 237.21/38.37 | COMBINE_EQS: (1956), (1987) imply: % 237.21/38.37 | (1990) all_1263_1 = all_1208_1 % 237.21/38.37 | % 237.21/38.37 | SIMP: (1990) implies: % 237.21/38.38 | (1991) all_1263_1 = all_1208_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1957), (1991) imply: % 237.21/38.38 | (1992) all_1257_1 = all_1208_1 % 237.21/38.38 | % 237.21/38.38 | SIMP: (1992) implies: % 237.21/38.38 | (1993) all_1257_1 = all_1208_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1831), (1993) imply: % 237.21/38.38 | (1994) all_1236_0 = all_1208_1 % 237.21/38.38 | % 237.21/38.38 | SIMP: (1994) implies: % 237.21/38.38 | (1995) all_1236_0 = all_1208_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1829), (1995) imply: % 237.21/38.38 | (1996) all_1208_1 = all_1202_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1830), (1995) imply: % 237.21/38.38 | (1997) all_1208_1 = all_1154_2 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1996), (1997) imply: % 237.21/38.38 | (1998) all_1202_1 = all_1154_2 % 237.21/38.38 | % 237.21/38.38 | SIMP: (1998) implies: % 237.21/38.38 | (1999) all_1202_1 = all_1154_2 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1828), (1989) imply: % 237.21/38.38 | (2000) all_1178_1 = all_1175_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1989), (1999) imply: % 237.21/38.38 | (2001) all_1178_1 = all_1154_2 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (2000), (2001) imply: % 237.21/38.38 | (2002) all_1175_1 = all_1154_2 % 237.21/38.38 | % 237.21/38.38 | SIMP: (2002) implies: % 237.21/38.38 | (2003) all_1175_1 = all_1154_2 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1826), (1827) imply: % 237.21/38.38 | (2004) all_1172_1 = all_1169_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1826), (2003) imply: % 237.21/38.38 | (2005) all_1172_1 = all_1154_2 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (2004), (2005) imply: % 237.21/38.38 | (2006) all_1169_1 = all_1154_2 % 237.21/38.38 | % 237.21/38.38 | SIMP: (2006) implies: % 237.21/38.38 | (2007) all_1169_1 = all_1154_2 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1825), (2007) imply: % 237.21/38.38 | (2008) all_1166_0 = all_1154_2 % 237.21/38.38 | % 237.21/38.38 | SIMP: (2008) implies: % 237.21/38.38 | (2009) all_1166_0 = all_1154_2 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1824), (2009) imply: % 237.21/38.38 | (2010) all_1158_2 = all_1154_2 % 237.21/38.38 | % 237.21/38.38 | SIMP: (2010) implies: % 237.21/38.38 | (2011) all_1158_2 = all_1154_2 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1823), (2011) imply: % 237.21/38.38 | (2012) all_1156_2 = all_1154_2 % 237.21/38.38 | % 237.21/38.38 | SIMP: (2012) implies: % 237.21/38.38 | (2013) all_1156_2 = all_1154_2 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1822), (2013) imply: % 237.21/38.38 | (2014) all_1154_2 = all_1143_2 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1931), (2013) imply: % 237.21/38.38 | (2015) all_1154_2 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (2014), (2015) imply: % 237.21/38.38 | (2016) all_1143_2 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | SIMP: (2016) implies: % 237.21/38.38 | (2017) all_1143_2 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1940), (1941) imply: % 237.21/38.38 | (2018) all_1027_1 = all_1016_0 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1941), (1942) imply: % 237.21/38.38 | (2019) all_1032_1 = all_1027_1 % 237.21/38.38 | % 237.21/38.38 | SIMP: (2019) implies: % 237.21/38.38 | (2020) all_1032_1 = all_1027_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1821), (2017) imply: % 237.21/38.38 | (2021) all_1065_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | SIMP: (2021) implies: % 237.21/38.38 | (2022) all_1065_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1820), (2022) imply: % 237.21/38.38 | (2023) all_1034_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | SIMP: (2023) implies: % 237.21/38.38 | (2024) all_1034_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1819), (2024) imply: % 237.21/38.38 | (2025) all_1032_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | SIMP: (2025) implies: % 237.21/38.38 | (2026) all_1032_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (2020), (2026) imply: % 237.21/38.38 | (2027) all_1027_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | SIMP: (2027) implies: % 237.21/38.38 | (2028) all_1027_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (2018), (2028) imply: % 237.21/38.38 | (2029) all_1016_0 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | SIMP: (2029) implies: % 237.21/38.38 | (2030) all_1016_0 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1941), (2028) imply: % 237.21/38.38 | (2031) all_1145_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (2011), (2015) imply: % 237.21/38.38 | (2032) all_1158_2 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (2007), (2015) imply: % 237.21/38.38 | (2033) all_1169_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (2005), (2015) imply: % 237.21/38.38 | (2034) all_1172_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1826), (2034) imply: % 237.21/38.38 | (2035) all_1175_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (2001), (2015) imply: % 237.21/38.38 | (2036) all_1178_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1989), (2036) imply: % 237.21/38.38 | (2037) all_1202_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1997), (2015) imply: % 237.21/38.38 | (2038) all_1208_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1993), (2038) imply: % 237.21/38.38 | (2039) all_1257_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1991), (2038) imply: % 237.21/38.38 | (2040) all_1263_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1987), (2038) imply: % 237.21/38.38 | (2041) all_1266_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1976), (2036) imply: % 237.21/38.38 | (2042) all_1269_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1985), (2038) imply: % 237.21/38.38 | (2043) all_1275_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1972), (2038) imply: % 237.21/38.38 | (2044) all_1278_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1980), (2043) imply: % 237.21/38.38 | (2045) all_1298_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1978), (2043) imply: % 237.21/38.38 | (2046) all_1301_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1970), (2043) imply: % 237.21/38.38 | (2047) all_1307_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1974), (2036) imply: % 237.21/38.38 | (2048) all_1310_2 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1968), (2038) imply: % 237.21/38.38 | (2049) all_1328_2 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1965), (2043) imply: % 237.21/38.38 | (2050) all_1331_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1964), (2038) imply: % 237.21/38.38 | (2051) all_1349_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1952), (2050) imply: % 237.21/38.38 | (2052) all_1352_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1937), (2038) imply: % 237.21/38.38 | (2053) all_1355_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1954), (2036) imply: % 237.21/38.38 | (2054) all_1361_2 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1947), (2051) imply: % 237.21/38.38 | (2055) all_1382_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1914), (2036) imply: % 237.21/38.38 | (2056) all_1388_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1950), (2050) imply: % 237.21/38.38 | (2057) all_1391_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1939), (2050) imply: % 237.21/38.38 | (2058) all_1394_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1927), (2055) imply: % 237.21/38.38 | (2059) all_1400_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1847), (2054) imply: % 237.21/38.38 | (2060) all_1415_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1849), (2031) imply: % 237.21/38.38 | (2061) all_1418_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1928), (2050) imply: % 237.21/38.38 | (2062) all_1424_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1906), (2038) imply: % 237.21/38.38 | (2063) all_1427_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1855), (2051) imply: % 237.21/38.38 | (2064) all_1430_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1919), (2040) imply: % 237.21/38.38 | (2065) all_1442_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1908), (2062) imply: % 237.21/38.38 | (2066) all_1451_2 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1860), (2055) imply: % 237.21/38.38 | (2067) all_1454_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1910), (2050) imply: % 237.21/38.38 | (2068) all_1460_2 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1915), (2044) imply: % 237.21/38.38 | (2069) all_1469_2 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1912), (2040) imply: % 237.21/38.38 | (2070) all_1481_2 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1896), (2069) imply: % 237.21/38.38 | (2071) all_1508_2 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1904), (2036) imply: % 237.21/38.38 | (2072) all_1517_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1867), (2040) imply: % 237.21/38.38 | (2073) all_1520_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1902), (2050) imply: % 237.21/38.38 | (2074) all_1526_3 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1870), (2062) imply: % 237.21/38.38 | (2075) all_1532_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1872), (2038) imply: % 237.21/38.38 | (2076) all_1535_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1873), (2072) imply: % 237.21/38.38 | (2077) all_1541_2 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1898), (2050) imply: % 237.21/38.38 | (2078) all_1547_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1889), (2050) imply: % 237.21/38.38 | (2079) all_1553_3 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1879), (2069) imply: % 237.21/38.38 | (2080) all_1559_2 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1883), (2079) imply: % 237.21/38.38 | (2081) all_1575_1 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | COMBINE_EQS: (1886), (2050) imply: % 237.21/38.38 | (2082) all_1578_4 = all_1010_1 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (816), (2076) imply: % 237.21/38.38 | (2083) c_Int_Onumber__class_Onumber__of(tc_Int_Oint, all_1010_1) = % 237.21/38.38 | all_1535_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (678), (2054) imply: % 237.21/38.38 | (2084) c_Int_Onumber__class_Onumber__of(tc_Int_Oint, all_1010_1) = % 237.21/38.38 | all_1361_1 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (446), (2026) imply: % 237.21/38.38 | (2085) c_Int_Onumber__class_Onumber__of(tc_Int_Oint, all_1010_1) = % 237.21/38.38 | all_1032_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (891), (2081) imply: % 237.21/38.38 | (2086) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1010_1) = % 237.21/38.38 | all_1575_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (845), (1892) imply: % 237.21/38.38 | (2087) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1010_1) = % 237.21/38.38 | all_1562_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (840), (2080) imply: % 237.21/38.38 | (2088) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1010_1) = % 237.21/38.38 | all_1559_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (830), (1894) imply: % 237.21/38.38 | (2089) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1010_1) = % 237.21/38.38 | all_1550_1 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (826), (2078) imply: % 237.21/38.38 | (2090) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1010_1) = % 237.21/38.38 | all_1547_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (810), (2075) imply: % 237.21/38.38 | (2091) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1010_1) = % 237.21/38.38 | all_1532_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (799), (2073) imply: % 237.21/38.38 | (2092) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1010_1) = % 237.21/38.38 | all_1520_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (795), (2072) imply: % 237.21/38.38 | (2093) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1010_1) = % 237.21/38.38 | all_1517_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (776), (2070) imply: % 237.21/38.38 | (2094) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1010_1) = % 237.21/38.38 | all_1481_1 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (768), (2069) imply: % 237.21/38.38 | (2095) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1010_1) = % 237.21/38.38 | all_1469_1 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (762), (2068) imply: % 237.21/38.38 | (2096) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1010_1) = % 237.21/38.38 | all_1460_1 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (756), (2067) imply: % 237.21/38.38 | (2097) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1010_1) = % 237.21/38.38 | all_1454_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (752), (2066) imply: % 237.21/38.38 | (2098) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1010_1) = % 237.21/38.38 | all_1451_1 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (748), (1900) imply: % 237.21/38.38 | (2099) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1010_1) = % 237.21/38.38 | all_1445_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (744), (2065) imply: % 237.21/38.38 | (2100) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1010_1) = % 237.21/38.38 | all_1442_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (740), (2064) imply: % 237.21/38.38 | (2101) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1010_1) = % 237.21/38.38 | all_1430_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (736), (2063) imply: % 237.21/38.38 | (2102) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1010_1) = % 237.21/38.38 | all_1427_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (732), (2062) imply: % 237.21/38.38 | (2103) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1010_1) = % 237.21/38.38 | all_1424_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (726), (2061) imply: % 237.21/38.38 | (2104) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1010_1) = % 237.21/38.38 | all_1418_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (722), (2060) imply: % 237.21/38.38 | (2105) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1010_1) = % 237.21/38.38 | all_1415_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (714), (2059) imply: % 237.21/38.38 | (2106) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1010_1) = % 237.21/38.38 | all_1400_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (708), (2058) imply: % 237.21/38.38 | (2107) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1010_1) = % 237.21/38.38 | all_1394_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (704), (2057) imply: % 237.21/38.38 | (2108) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1010_1) = % 237.21/38.38 | all_1391_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (700), (2056) imply: % 237.21/38.38 | (2109) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1010_1) = % 237.21/38.38 | all_1388_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (693), (2055) imply: % 237.21/38.38 | (2110) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1010_1) = % 237.21/38.38 | all_1382_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (670), (2053) imply: % 237.21/38.38 | (2111) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1010_1) = % 237.21/38.38 | all_1355_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (650), (2050) imply: % 237.21/38.38 | (2112) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1010_1) = % 237.21/38.38 | all_1331_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (635), (2048) imply: % 237.21/38.38 | (2113) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1010_1) = % 237.21/38.38 | all_1310_1 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (631), (2047) imply: % 237.21/38.38 | (2114) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1010_1) = % 237.21/38.38 | all_1307_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (626), (2046) imply: % 237.21/38.38 | (2115) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1010_1) = % 237.21/38.38 | all_1301_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (622), (2045) imply: % 237.21/38.38 | (2116) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1010_1) = % 237.21/38.38 | all_1298_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (613), (2044) imply: % 237.21/38.38 | (2117) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1010_1) = % 237.21/38.38 | all_1278_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (599), (2041) imply: % 237.21/38.38 | (2118) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1010_1) = % 237.21/38.38 | all_1266_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (595), (2040) imply: % 237.21/38.38 | (2119) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1010_1) = % 237.21/38.38 | all_1263_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (589), (2039) imply: % 237.21/38.38 | (2120) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1010_1) = % 237.21/38.38 | all_1257_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (561), (2038) imply: % 237.21/38.38 | (2121) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1010_1) = % 237.21/38.38 | all_1208_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (557), (2037) imply: % 237.21/38.38 | (2122) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1010_1) = % 237.21/38.38 | all_1202_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (539), (2034) imply: % 237.21/38.38 | (2123) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1010_1) = % 237.21/38.38 | all_1172_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (535), (2033) imply: % 237.21/38.38 | (2124) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1010_1) = % 237.21/38.38 | all_1169_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (509), (2031) imply: % 237.21/38.38 | (2125) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1010_1) = % 237.21/38.38 | all_1145_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (450), (2024) imply: % 237.21/38.38 | (2126) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1010_1) = % 237.21/38.38 | all_1034_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (440), (2028) imply: % 237.21/38.38 | (2127) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1010_1) = % 237.21/38.38 | all_1027_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (430), (2030) imply: % 237.21/38.38 | (2128) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1010_1) = % 237.21/38.38 | all_1016_2 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (896), (2082) imply: % 237.21/38.38 | (2129) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1010_1) = % 237.21/38.38 | all_1578_3 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (887), (1882) imply: % 237.21/38.38 | (2130) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1010_1) = % 237.21/38.38 | all_1573_2 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (844), (1892) imply: % 237.21/38.38 | (2131) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1010_1) = % 237.21/38.38 | all_1562_2 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (839), (2080) imply: % 237.21/38.38 | (2132) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1010_1) = % 237.21/38.38 | all_1559_1 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (835), (2079) imply: % 237.21/38.38 | (2133) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1010_1) = % 237.21/38.38 | all_1553_2 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (821), (2077) imply: % 237.21/38.38 | (2134) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1010_1) = % 237.21/38.38 | all_1541_1 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (804), (2074) imply: % 237.21/38.38 | (2135) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1010_1) = % 237.21/38.38 | all_1526_2 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (788), (2071) imply: % 237.21/38.38 | (2136) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1010_1) = % 237.21/38.38 | all_1508_1 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (666), (2052) imply: % 237.21/38.38 | (2137) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1010_1) = % 237.21/38.38 | all_1352_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (662), (2051) imply: % 237.21/38.38 | (2138) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1010_1) = % 237.21/38.38 | all_1349_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (646), (2049) imply: % 237.21/38.38 | (2139) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1010_1) = % 237.21/38.38 | all_1328_1 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (609), (2043) imply: % 237.21/38.38 | (2140) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1010_1) = % 237.21/38.38 | all_1275_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (603), (2042) imply: % 237.21/38.38 | (2141) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1010_1) = % 237.21/38.38 | all_1269_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (547), (2036) imply: % 237.21/38.38 | (2142) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1010_1) = % 237.21/38.38 | all_1178_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (543), (2035) imply: % 237.21/38.38 | (2143) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1010_1) = % 237.21/38.38 | all_1175_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (526), (2032) imply: % 237.21/38.38 | (2144) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1010_1) = % 237.21/38.38 | all_1158_1 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (521), (1931) imply: % 237.21/38.38 | (2145) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1010_1) = % 237.21/38.38 | all_1156_1 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (517), (2015) imply: % 237.21/38.38 | (2146) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1010_1) = % 237.21/38.38 | all_1154_1 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (505), (2017) imply: % 237.21/38.38 | (2147) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1010_1) = % 237.21/38.38 | all_1143_1 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (468), (2022) imply: % 237.21/38.38 | (2148) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1010_1) = % 237.21/38.38 | all_1065_0 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (877), (1818) imply: % 237.21/38.38 | (2149) v_s(all_1571_13) = all_1573_12 % 237.21/38.38 | % 237.21/38.38 | REDUCE: (429), (2030) imply: % 237.21/38.38 | (2150) $i(all_1010_1) % 237.21/38.38 | % 237.21/38.38 | GROUND_INST: instantiating (240) with all_1571_12, all_1573_12, all_1571_13, % 237.21/38.38 | simplifying with (858), (2149) gives: % 237.21/38.38 | (2151) all_1573_12 = all_1571_12 % 237.21/38.38 | % 237.21/38.38 | GROUND_INST: instantiating (250) with all_1154_1, all_1156_1, all_1010_1, % 237.21/38.38 | tc_RealDef_Oreal, simplifying with (2145), (2146) gives: % 237.21/38.38 | (2152) all_1156_1 = all_1154_1 % 237.21/38.38 | % 237.21/38.38 | GROUND_INST: instantiating (250) with all_1156_1, all_1158_1, all_1010_1, % 237.21/38.38 | tc_RealDef_Oreal, simplifying with (2144), (2145) gives: % 237.21/38.38 | (2153) all_1158_1 = all_1156_1 % 237.21/38.38 | % 237.21/38.38 | GROUND_INST: instantiating (250) with all_1154_1, all_1175_0, all_1010_1, % 237.21/38.38 | tc_RealDef_Oreal, simplifying with (2143), (2146) gives: % 237.21/38.38 | (2154) all_1175_0 = all_1154_1 % 237.21/38.38 | % 237.21/38.38 | GROUND_INST: instantiating (250) with all_1158_1, all_1275_0, all_1010_1, % 237.21/38.38 | tc_RealDef_Oreal, simplifying with (2140), (2144) gives: % 237.21/38.38 | (2155) all_1275_0 = all_1158_1 % 237.21/38.38 | % 237.21/38.38 | GROUND_INST: instantiating (250) with all_1275_0, all_1328_1, all_1010_1, % 237.21/38.38 | tc_RealDef_Oreal, simplifying with (2139), (2140) gives: % 237.21/38.38 | (2156) all_1328_1 = all_1275_0 % 237.21/38.38 | % 237.21/38.38 | GROUND_INST: instantiating (250) with all_1275_0, all_1541_1, all_1010_1, % 237.21/38.38 | tc_RealDef_Oreal, simplifying with (2134), (2140) gives: % 237.21/38.38 | (2157) all_1541_1 = all_1275_0 % 237.21/38.38 | % 237.21/38.38 | GROUND_INST: instantiating (250) with all_1065_0, all_1541_1, all_1010_1, % 237.21/38.38 | tc_RealDef_Oreal, simplifying with (2134), (2148) gives: % 237.21/38.38 | (2158) all_1541_1 = all_1065_0 % 237.21/38.38 | % 237.21/38.38 | GROUND_INST: instantiating (250) with all_1175_0, all_1553_2, all_1010_1, % 237.21/38.38 | tc_RealDef_Oreal, simplifying with (2133), (2143) gives: % 237.21/38.38 | (2159) all_1553_2 = all_1175_0 % 237.21/38.38 | % 237.21/38.38 | GROUND_INST: instantiating (250) with all_1143_1, all_1553_2, all_1010_1, % 237.21/38.39 | tc_RealDef_Oreal, simplifying with (2133), (2147) gives: % 237.21/38.39 | (2160) all_1553_2 = all_1143_1 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1508_1, all_1559_1, all_1010_1, % 237.21/38.39 | tc_RealDef_Oreal, simplifying with (2132), (2136) gives: % 237.21/38.39 | (2161) all_1559_1 = all_1508_1 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1352_0, all_1559_1, all_1010_1, % 237.21/38.39 | tc_RealDef_Oreal, simplifying with (2132), (2137) gives: % 237.21/38.39 | (2162) all_1559_1 = all_1352_0 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1559_1, all_1562_2, all_1010_1, % 237.21/38.39 | tc_RealDef_Oreal, simplifying with (2131), (2132) gives: % 237.21/38.39 | (2163) all_1562_2 = all_1559_1 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1349_0, all_1562_2, all_1010_1, % 237.21/38.39 | tc_RealDef_Oreal, simplifying with (2131), (2138) gives: % 237.21/38.39 | (2164) all_1562_2 = all_1349_0 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1328_1, all_1562_2, all_1010_1, % 237.21/38.39 | tc_RealDef_Oreal, simplifying with (2131), (2139) gives: % 237.21/38.39 | (2165) all_1562_2 = all_1328_1 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1526_2, all_1573_2, all_1010_1, % 237.21/38.39 | tc_RealDef_Oreal, simplifying with (2130), (2135) gives: % 237.21/38.39 | (2166) all_1573_2 = all_1526_2 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1275_0, all_1573_2, all_1010_1, % 237.21/38.39 | tc_RealDef_Oreal, simplifying with (2130), (2140) gives: % 237.21/38.39 | (2167) all_1573_2 = all_1275_0 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1178_0, all_1573_2, all_1010_1, % 237.21/38.39 | tc_RealDef_Oreal, simplifying with (2130), (2142) gives: % 237.21/38.39 | (2168) all_1573_2 = all_1178_0 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1508_1, all_1578_3, all_1010_1, % 237.21/38.39 | tc_RealDef_Oreal, simplifying with (2129), (2136) gives: % 237.21/38.39 | (2169) all_1578_3 = all_1508_1 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1269_0, all_1578_3, all_1010_1, % 237.21/38.39 | tc_RealDef_Oreal, simplifying with (2129), (2141) gives: % 237.21/38.39 | (2170) all_1578_3 = all_1269_0 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1010_0, all_1034_0, all_1010_1, % 237.21/38.39 | tc_Nat_Onat, simplifying with (425), (2126) gives: % 237.21/38.39 | (2171) all_1034_0 = all_1010_0 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1034_0, all_1145_0, all_1010_1, % 237.21/38.39 | tc_Nat_Onat, simplifying with (2125), (2126) gives: % 237.21/38.39 | (2172) all_1145_0 = all_1034_0 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1208_0, all_1257_0, all_1010_1, % 237.21/38.39 | tc_Nat_Onat, simplifying with (2120), (2121) gives: % 237.21/38.39 | (2173) all_1257_0 = all_1208_0 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1263_0, all_1266_0, all_1010_1, % 237.21/38.39 | tc_Nat_Onat, simplifying with (2118), (2119) gives: % 237.21/38.39 | (2174) all_1266_0 = all_1263_0 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1266_0, all_1278_0, all_1010_1, % 237.21/38.39 | tc_Nat_Onat, simplifying with (2117), (2118) gives: % 237.21/38.39 | (2175) all_1278_0 = all_1266_0 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1278_0, all_1301_0, all_1010_1, % 237.21/38.39 | tc_Nat_Onat, simplifying with (2115), (2117) gives: % 237.21/38.39 | (2176) all_1301_0 = all_1278_0 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1263_0, all_1307_0, all_1010_1, % 237.21/38.39 | tc_Nat_Onat, simplifying with (2114), (2119) gives: % 237.21/38.39 | (2177) all_1307_0 = all_1263_0 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1034_0, all_1307_0, all_1010_1, % 237.21/38.39 | tc_Nat_Onat, simplifying with (2114), (2126) gives: % 237.21/38.39 | (2178) all_1307_0 = all_1034_0 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1257_0, all_1310_1, all_1010_1, % 237.21/38.39 | tc_Nat_Onat, simplifying with (2113), (2120) gives: % 237.21/38.39 | (2179) all_1310_1 = all_1257_0 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1307_0, all_1331_0, all_1010_1, % 237.21/38.39 | tc_Nat_Onat, simplifying with (2112), (2114) gives: % 237.21/38.39 | (2180) all_1331_0 = all_1307_0 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1310_1, all_1355_0, all_1010_1, % 237.21/38.39 | tc_Nat_Onat, simplifying with (2111), (2113) gives: % 237.21/38.39 | (2181) all_1355_0 = all_1310_1 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1301_0, all_1382_0, all_1010_1, % 237.21/38.39 | tc_Nat_Onat, simplifying with (2110), (2115) gives: % 237.21/38.39 | (2182) all_1382_0 = all_1301_0 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1298_0, all_1382_0, all_1010_1, % 237.21/38.39 | tc_Nat_Onat, simplifying with (2110), (2116) gives: % 237.21/38.39 | (2183) all_1382_0 = all_1298_0 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1208_0, all_1388_0, all_1010_1, % 237.21/38.39 | tc_Nat_Onat, simplifying with (2109), (2121) gives: % 237.21/38.39 | (2184) all_1388_0 = all_1208_0 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1388_0, all_1394_0, all_1010_1, % 237.21/38.39 | tc_Nat_Onat, simplifying with (2107), (2109) gives: % 237.21/38.39 | (2185) all_1394_0 = all_1388_0 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1172_0, all_1394_0, all_1010_1, % 237.21/38.39 | tc_Nat_Onat, simplifying with (2107), (2123) gives: % 237.21/38.39 | (2186) all_1394_0 = all_1172_0 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1145_0, all_1394_0, all_1010_1, % 237.21/38.39 | tc_Nat_Onat, simplifying with (2107), (2125) gives: % 237.21/38.39 | (2187) all_1394_0 = all_1145_0 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1400_0, all_1415_0, all_1010_1, % 237.21/38.39 | tc_Nat_Onat, simplifying with (2105), (2106) gives: % 237.21/38.39 | (2188) all_1415_0 = all_1400_0 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1301_0, all_1415_0, all_1010_1, % 237.21/38.39 | tc_Nat_Onat, simplifying with (2105), (2115) gives: % 237.21/38.39 | (2189) all_1415_0 = all_1301_0 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1427_0, all_1430_0, all_1010_1, % 237.21/38.39 | tc_Nat_Onat, simplifying with (2101), (2102) gives: % 237.21/38.39 | (2190) all_1430_0 = all_1427_0 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1331_0, all_1430_0, all_1010_1, % 237.21/38.39 | tc_Nat_Onat, simplifying with (2101), (2112) gives: % 237.21/38.39 | (2191) all_1430_0 = all_1331_0 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1388_0, all_1445_0, all_1010_1, % 237.21/38.39 | tc_Nat_Onat, simplifying with (2099), (2109) gives: % 237.21/38.39 | (2192) all_1445_0 = all_1388_0 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1418_0, all_1451_1, all_1010_1, % 237.21/38.39 | tc_Nat_Onat, simplifying with (2098), (2104) gives: % 237.21/38.39 | (2193) all_1451_1 = all_1418_0 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1355_0, all_1451_1, all_1010_1, % 237.21/38.39 | tc_Nat_Onat, simplifying with (2098), (2111) gives: % 237.21/38.39 | (2194) all_1451_1 = all_1355_0 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1400_0, all_1460_1, all_1010_1, % 237.21/38.39 | tc_Nat_Onat, simplifying with (2096), (2106) gives: % 237.21/38.39 | (2195) all_1460_1 = all_1400_0 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1469_1, all_1481_1, all_1010_1, % 237.21/38.39 | tc_Nat_Onat, simplifying with (2094), (2095) gives: % 237.21/38.39 | (2196) all_1481_1 = all_1469_1 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1451_1, all_1481_1, all_1010_1, % 237.21/38.39 | tc_Nat_Onat, simplifying with (2094), (2098) gives: % 237.21/38.39 | (2197) all_1481_1 = all_1451_1 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1454_0, all_1517_0, all_1010_1, % 237.21/38.39 | tc_Nat_Onat, simplifying with (2093), (2097) gives: % 237.21/38.39 | (2198) all_1517_0 = all_1454_0 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1016_2, all_1517_0, all_1010_1, % 237.21/38.39 | tc_Nat_Onat, simplifying with (2093), (2128) gives: % 237.21/38.39 | (2199) all_1517_0 = all_1016_2 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1445_0, all_1520_0, all_1010_1, % 237.21/38.39 | tc_Nat_Onat, simplifying with (2092), (2099) gives: % 237.21/38.39 | (2200) all_1520_0 = all_1445_0 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1430_0, all_1532_0, all_1010_1, % 237.21/38.39 | tc_Nat_Onat, simplifying with (2091), (2101) gives: % 237.21/38.39 | (2201) all_1532_0 = all_1430_0 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1169_0, all_1532_0, all_1010_1, % 237.21/38.39 | tc_Nat_Onat, simplifying with (2091), (2124) gives: % 237.21/38.39 | (2202) all_1532_0 = all_1169_0 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1415_0, all_1547_0, all_1010_1, % 237.21/38.39 | tc_Nat_Onat, simplifying with (2090), (2105) gives: % 237.21/38.39 | (2203) all_1547_0 = all_1415_0 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1391_0, all_1547_0, all_1010_1, % 237.21/38.39 | tc_Nat_Onat, simplifying with (2090), (2108) gives: % 237.21/38.39 | (2204) all_1547_0 = all_1391_0 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1481_1, all_1550_1, all_1010_1, % 237.21/38.39 | tc_Nat_Onat, simplifying with (2089), (2094) gives: % 237.21/38.39 | (2205) all_1550_1 = all_1481_1 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1424_0, all_1550_1, all_1010_1, % 237.21/38.39 | tc_Nat_Onat, simplifying with (2089), (2103) gives: % 237.21/38.39 | (2206) all_1550_1 = all_1424_0 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1454_0, all_1559_0, all_1010_1, % 237.21/38.39 | tc_Nat_Onat, simplifying with (2088), (2097) gives: % 237.21/38.39 | (2207) all_1559_0 = all_1454_0 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1451_1, all_1559_0, all_1010_1, % 237.21/38.39 | tc_Nat_Onat, simplifying with (2088), (2098) gives: % 237.21/38.39 | (2208) all_1559_0 = all_1451_1 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1442_0, all_1559_0, all_1010_1, % 237.21/38.39 | tc_Nat_Onat, simplifying with (2088), (2100) gives: % 237.21/38.39 | (2209) all_1559_0 = all_1442_0 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1520_0, all_1562_0, all_1010_1, % 237.21/38.39 | tc_Nat_Onat, simplifying with (2087), (2092) gives: % 237.21/38.39 | (2210) all_1562_0 = all_1520_0 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1202_0, all_1562_0, all_1010_1, % 237.21/38.39 | tc_Nat_Onat, simplifying with (2087), (2122) gives: % 237.21/38.39 | (2211) all_1562_0 = all_1202_0 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1460_1, all_1575_0, all_1010_1, % 237.21/38.39 | tc_Nat_Onat, simplifying with (2086), (2096) gives: % 237.21/38.39 | (2212) all_1575_0 = all_1460_1 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1027_0, all_1575_0, all_1010_1, % 237.21/38.39 | tc_Nat_Onat, simplifying with (2086), (2127) gives: % 237.21/38.39 | (2213) all_1575_0 = all_1027_0 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1361_1, all_1535_0, all_1010_1, % 237.21/38.39 | tc_Int_Oint, simplifying with (2083), (2084) gives: % 237.21/38.39 | (2214) all_1535_0 = all_1361_1 % 237.21/38.39 | % 237.21/38.39 | GROUND_INST: instantiating (250) with all_1032_0, all_1535_0, all_1010_1, % 237.21/38.39 | tc_Int_Oint, simplifying with (2083), (2085) gives: % 237.21/38.39 | (2215) all_1535_0 = all_1032_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2169), (2170) imply: % 237.21/38.39 | (2216) all_1508_1 = all_1269_0 % 237.21/38.39 | % 237.21/38.39 | SIMP: (2216) implies: % 237.21/38.39 | (2217) all_1508_1 = all_1269_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2212), (2213) imply: % 237.21/38.39 | (2218) all_1460_1 = all_1027_0 % 237.21/38.39 | % 237.21/38.39 | SIMP: (2218) implies: % 237.21/38.39 | (2219) all_1460_1 = all_1027_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2166), (2168) imply: % 237.21/38.39 | (2220) all_1526_2 = all_1178_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2166), (2167) imply: % 237.21/38.39 | (2221) all_1526_2 = all_1275_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2210), (2211) imply: % 237.21/38.39 | (2222) all_1520_0 = all_1202_0 % 237.21/38.39 | % 237.21/38.39 | SIMP: (2222) implies: % 237.21/38.39 | (2223) all_1520_0 = all_1202_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2164), (2165) imply: % 237.21/38.39 | (2224) all_1349_0 = all_1328_1 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2163), (2164) imply: % 237.21/38.39 | (2225) all_1559_1 = all_1349_0 % 237.21/38.39 | % 237.21/38.39 | SIMP: (2225) implies: % 237.21/38.39 | (2226) all_1559_1 = all_1349_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2208), (2209) imply: % 237.21/38.39 | (2227) all_1451_1 = all_1442_0 % 237.21/38.39 | % 237.21/38.39 | SIMP: (2227) implies: % 237.21/38.39 | (2228) all_1451_1 = all_1442_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2207), (2209) imply: % 237.21/38.39 | (2229) all_1454_0 = all_1442_0 % 237.21/38.39 | % 237.21/38.39 | SIMP: (2229) implies: % 237.21/38.39 | (2230) all_1454_0 = all_1442_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2161), (2162) imply: % 237.21/38.39 | (2231) all_1508_1 = all_1352_0 % 237.21/38.39 | % 237.21/38.39 | SIMP: (2231) implies: % 237.21/38.39 | (2232) all_1508_1 = all_1352_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2162), (2226) imply: % 237.21/38.39 | (2233) all_1352_0 = all_1349_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2159), (2160) imply: % 237.21/38.39 | (2234) all_1175_0 = all_1143_1 % 237.21/38.39 | % 237.21/38.39 | SIMP: (2234) implies: % 237.21/38.39 | (2235) all_1175_0 = all_1143_1 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2205), (2206) imply: % 237.21/38.39 | (2236) all_1481_1 = all_1424_0 % 237.21/38.39 | % 237.21/38.39 | SIMP: (2236) implies: % 237.21/38.39 | (2237) all_1481_1 = all_1424_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2203), (2204) imply: % 237.21/38.39 | (2238) all_1415_0 = all_1391_0 % 237.21/38.39 | % 237.21/38.39 | SIMP: (2238) implies: % 237.21/38.39 | (2239) all_1415_0 = all_1391_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2157), (2158) imply: % 237.21/38.39 | (2240) all_1275_0 = all_1065_0 % 237.21/38.39 | % 237.21/38.39 | SIMP: (2240) implies: % 237.21/38.39 | (2241) all_1275_0 = all_1065_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2214), (2215) imply: % 237.21/38.39 | (2242) all_1361_1 = all_1032_0 % 237.21/38.39 | % 237.21/38.39 | SIMP: (2242) implies: % 237.21/38.39 | (2243) all_1361_1 = all_1032_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2201), (2202) imply: % 237.21/38.39 | (2244) all_1430_0 = all_1169_0 % 237.21/38.39 | % 237.21/38.39 | SIMP: (2244) implies: % 237.21/38.39 | (2245) all_1430_0 = all_1169_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2220), (2221) imply: % 237.21/38.39 | (2246) all_1275_0 = all_1178_0 % 237.21/38.39 | % 237.21/38.39 | SIMP: (2246) implies: % 237.21/38.39 | (2247) all_1275_0 = all_1178_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2200), (2223) imply: % 237.21/38.39 | (2248) all_1445_0 = all_1202_0 % 237.21/38.39 | % 237.21/38.39 | SIMP: (2248) implies: % 237.21/38.39 | (2249) all_1445_0 = all_1202_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2198), (2199) imply: % 237.21/38.39 | (2250) all_1454_0 = all_1016_2 % 237.21/38.39 | % 237.21/38.39 | SIMP: (2250) implies: % 237.21/38.39 | (2251) all_1454_0 = all_1016_2 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2217), (2232) imply: % 237.21/38.39 | (2252) all_1352_0 = all_1269_0 % 237.21/38.39 | % 237.21/38.39 | SIMP: (2252) implies: % 237.21/38.39 | (2253) all_1352_0 = all_1269_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2196), (2197) imply: % 237.21/38.39 | (2254) all_1469_1 = all_1451_1 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2196), (2237) imply: % 237.21/38.39 | (2255) all_1469_1 = all_1424_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2254), (2255) imply: % 237.21/38.39 | (2256) all_1451_1 = all_1424_0 % 237.21/38.39 | % 237.21/38.39 | SIMP: (2256) implies: % 237.21/38.39 | (2257) all_1451_1 = all_1424_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2195), (2219) imply: % 237.21/38.39 | (2258) all_1400_0 = all_1027_0 % 237.21/38.39 | % 237.21/38.39 | SIMP: (2258) implies: % 237.21/38.39 | (2259) all_1400_0 = all_1027_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2230), (2251) imply: % 237.21/38.39 | (2260) all_1442_0 = all_1016_2 % 237.21/38.39 | % 237.21/38.39 | SIMP: (2260) implies: % 237.21/38.39 | (2261) all_1442_0 = all_1016_2 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2194), (2257) imply: % 237.21/38.39 | (2262) all_1424_0 = all_1355_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2193), (2257) imply: % 237.21/38.39 | (2263) all_1424_0 = all_1418_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2228), (2257) imply: % 237.21/38.39 | (2264) all_1442_0 = all_1424_0 % 237.21/38.39 | % 237.21/38.39 | SIMP: (2264) implies: % 237.21/38.39 | (2265) all_1442_0 = all_1424_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2192), (2249) imply: % 237.21/38.39 | (2266) all_1388_0 = all_1202_0 % 237.21/38.39 | % 237.21/38.39 | SIMP: (2266) implies: % 237.21/38.39 | (2267) all_1388_0 = all_1202_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2261), (2265) imply: % 237.21/38.39 | (2268) all_1424_0 = all_1016_2 % 237.21/38.39 | % 237.21/38.39 | SIMP: (2268) implies: % 237.21/38.39 | (2269) all_1424_0 = all_1016_2 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2190), (2191) imply: % 237.21/38.39 | (2270) all_1427_0 = all_1331_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2190), (2245) imply: % 237.21/38.39 | (2271) all_1427_0 = all_1169_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2270), (2271) imply: % 237.21/38.39 | (2272) all_1331_0 = all_1169_0 % 237.21/38.39 | % 237.21/38.39 | SIMP: (2272) implies: % 237.21/38.39 | (2273) all_1331_0 = all_1169_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2262), (2263) imply: % 237.21/38.39 | (2274) all_1418_0 = all_1355_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2263), (2269) imply: % 237.21/38.39 | (2275) all_1418_0 = all_1016_2 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2274), (2275) imply: % 237.21/38.39 | (2276) all_1355_0 = all_1016_2 % 237.21/38.39 | % 237.21/38.39 | SIMP: (2276) implies: % 237.21/38.39 | (2277) all_1355_0 = all_1016_2 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2189), (2239) imply: % 237.21/38.39 | (2278) all_1391_0 = all_1301_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2188), (2239) imply: % 237.21/38.39 | (2279) all_1400_0 = all_1391_0 % 237.21/38.39 | % 237.21/38.39 | SIMP: (2279) implies: % 237.21/38.39 | (2280) all_1400_0 = all_1391_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2259), (2280) imply: % 237.21/38.39 | (2281) all_1391_0 = all_1027_0 % 237.21/38.39 | % 237.21/38.39 | SIMP: (2281) implies: % 237.21/38.39 | (2282) all_1391_0 = all_1027_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2185), (2186) imply: % 237.21/38.39 | (2283) all_1388_0 = all_1172_0 % 237.21/38.39 | % 237.21/38.39 | SIMP: (2283) implies: % 237.21/38.39 | (2284) all_1388_0 = all_1172_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2186), (2187) imply: % 237.21/38.39 | (2285) all_1172_0 = all_1145_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2278), (2282) imply: % 237.21/38.39 | (2286) all_1301_0 = all_1027_0 % 237.21/38.39 | % 237.21/38.39 | SIMP: (2286) implies: % 237.21/38.39 | (2287) all_1301_0 = all_1027_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2267), (2284) imply: % 237.21/38.39 | (2288) all_1202_0 = all_1172_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2184), (2267) imply: % 237.21/38.39 | (2289) all_1208_0 = all_1202_0 % 237.21/38.39 | % 237.21/38.39 | SIMP: (2289) implies: % 237.21/38.39 | (2290) all_1208_0 = all_1202_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2182), (2183) imply: % 237.21/38.39 | (2291) all_1301_0 = all_1298_0 % 237.21/38.39 | % 237.21/38.39 | SIMP: (2291) implies: % 237.21/38.39 | (2292) all_1301_0 = all_1298_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2181), (2277) imply: % 237.21/38.39 | (2293) all_1310_1 = all_1016_2 % 237.21/38.39 | % 237.21/38.39 | SIMP: (2293) implies: % 237.21/38.39 | (2294) all_1310_1 = all_1016_2 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2233), (2253) imply: % 237.21/38.39 | (2295) all_1349_0 = all_1269_0 % 237.21/38.39 | % 237.21/38.39 | SIMP: (2295) implies: % 237.21/38.39 | (2296) all_1349_0 = all_1269_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2224), (2296) imply: % 237.21/38.39 | (2297) all_1328_1 = all_1269_0 % 237.21/38.39 | % 237.21/38.39 | SIMP: (2297) implies: % 237.21/38.39 | (2298) all_1328_1 = all_1269_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2180), (2273) imply: % 237.21/38.39 | (2299) all_1307_0 = all_1169_0 % 237.21/38.39 | % 237.21/38.39 | SIMP: (2299) implies: % 237.21/38.39 | (2300) all_1307_0 = all_1169_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2156), (2298) imply: % 237.21/38.39 | (2301) all_1275_0 = all_1269_0 % 237.21/38.39 | % 237.21/38.39 | SIMP: (2301) implies: % 237.21/38.39 | (2302) all_1275_0 = all_1269_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2179), (2294) imply: % 237.21/38.39 | (2303) all_1257_0 = all_1016_2 % 237.21/38.39 | % 237.21/38.39 | SIMP: (2303) implies: % 237.21/38.39 | (2304) all_1257_0 = all_1016_2 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2177), (2300) imply: % 237.21/38.39 | (2305) all_1263_0 = all_1169_0 % 237.21/38.39 | % 237.21/38.39 | SIMP: (2305) implies: % 237.21/38.39 | (2306) all_1263_0 = all_1169_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2178), (2300) imply: % 237.21/38.39 | (2307) all_1169_0 = all_1034_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2176), (2292) imply: % 237.21/38.39 | (2308) all_1298_0 = all_1278_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2287), (2292) imply: % 237.21/38.39 | (2309) all_1298_0 = all_1027_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2308), (2309) imply: % 237.21/38.39 | (2310) all_1278_0 = all_1027_0 % 237.21/38.39 | % 237.21/38.39 | SIMP: (2310) implies: % 237.21/38.39 | (2311) all_1278_0 = all_1027_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2175), (2311) imply: % 237.21/38.39 | (2312) all_1266_0 = all_1027_0 % 237.21/38.39 | % 237.21/38.39 | SIMP: (2312) implies: % 237.21/38.39 | (2313) all_1266_0 = all_1027_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2241), (2302) imply: % 237.21/38.39 | (2314) all_1269_0 = all_1065_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2247), (2302) imply: % 237.21/38.39 | (2315) all_1269_0 = all_1178_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2155), (2302) imply: % 237.21/38.39 | (2316) all_1269_0 = all_1158_1 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2314), (2315) imply: % 237.21/38.39 | (2317) all_1178_0 = all_1065_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2315), (2316) imply: % 237.21/38.39 | (2318) all_1178_0 = all_1158_1 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2174), (2313) imply: % 237.21/38.39 | (2319) all_1263_0 = all_1027_0 % 237.21/38.39 | % 237.21/38.39 | SIMP: (2319) implies: % 237.21/38.39 | (2320) all_1263_0 = all_1027_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2306), (2320) imply: % 237.21/38.39 | (2321) all_1169_0 = all_1027_0 % 237.21/38.39 | % 237.21/38.39 | SIMP: (2321) implies: % 237.21/38.39 | (2322) all_1169_0 = all_1027_0 % 237.21/38.39 | % 237.21/38.39 | COMBINE_EQS: (2173), (2304) imply: % 237.21/38.39 | (2323) all_1208_0 = all_1016_2 % 237.21/38.39 | % 237.21/38.39 | SIMP: (2323) implies: % 237.21/38.40 | (2324) all_1208_0 = all_1016_2 % 237.21/38.40 | % 237.21/38.40 | COMBINE_EQS: (2290), (2324) imply: % 237.21/38.40 | (2325) all_1202_0 = all_1016_2 % 237.21/38.40 | % 237.21/38.40 | SIMP: (2325) implies: % 237.21/38.40 | (2326) all_1202_0 = all_1016_2 % 237.21/38.40 | % 237.21/38.40 | COMBINE_EQS: (2288), (2326) imply: % 237.21/38.40 | (2327) all_1172_0 = all_1016_2 % 237.21/38.40 | % 237.21/38.40 | SIMP: (2327) implies: % 237.21/38.40 | (2328) all_1172_0 = all_1016_2 % 237.21/38.40 | % 237.21/38.40 | COMBINE_EQS: (2317), (2318) imply: % 237.21/38.40 | (2329) all_1158_1 = all_1065_0 % 237.21/38.40 | % 237.21/38.40 | SIMP: (2329) implies: % 237.21/38.40 | (2330) all_1158_1 = all_1065_0 % 237.21/38.40 | % 237.21/38.40 | COMBINE_EQS: (2154), (2235) imply: % 237.21/38.40 | (2331) all_1154_1 = all_1143_1 % 237.21/38.40 | % 237.21/38.40 | SIMP: (2331) implies: % 237.21/38.40 | (2332) all_1154_1 = all_1143_1 % 237.21/38.40 | % 237.21/38.40 | COMBINE_EQS: (2285), (2328) imply: % 237.21/38.40 | (2333) all_1145_0 = all_1016_2 % 237.21/38.40 | % 237.21/38.40 | SIMP: (2333) implies: % 237.21/38.40 | (2334) all_1145_0 = all_1016_2 % 237.21/38.40 | % 237.21/38.40 | COMBINE_EQS: (2307), (2322) imply: % 237.21/38.40 | (2335) all_1034_0 = all_1027_0 % 237.21/38.40 | % 237.21/38.40 | SIMP: (2335) implies: % 237.21/38.40 | (2336) all_1034_0 = all_1027_0 % 237.21/38.40 | % 237.21/38.40 | COMBINE_EQS: (2153), (2330) imply: % 237.21/38.40 | (2337) all_1156_1 = all_1065_0 % 237.21/38.40 | % 237.21/38.40 | SIMP: (2337) implies: % 237.21/38.40 | (2338) all_1156_1 = all_1065_0 % 237.21/38.40 | % 237.21/38.40 | COMBINE_EQS: (2152), (2338) imply: % 237.21/38.40 | (2339) all_1154_1 = all_1065_0 % 237.21/38.40 | % 237.21/38.40 | SIMP: (2339) implies: % 237.21/38.40 | (2340) all_1154_1 = all_1065_0 % 237.21/38.40 | % 237.21/38.40 | COMBINE_EQS: (2332), (2340) imply: % 237.21/38.40 | (2341) all_1143_1 = all_1065_0 % 237.21/38.40 | % 237.21/38.40 | COMBINE_EQS: (2172), (2334) imply: % 237.21/38.40 | (2342) all_1034_0 = all_1016_2 % 237.21/38.40 | % 237.21/38.40 | SIMP: (2342) implies: % 237.21/38.40 | (2343) all_1034_0 = all_1016_2 % 237.21/38.40 | % 237.21/38.40 | COMBINE_EQS: (2171), (2336) imply: % 237.21/38.40 | (2344) all_1027_0 = all_1010_0 % 237.21/38.40 | % 237.21/38.40 | COMBINE_EQS: (2336), (2343) imply: % 237.21/38.40 | (2345) all_1027_0 = all_1016_2 % 237.21/38.40 | % 237.21/38.40 | COMBINE_EQS: (2344), (2345) imply: % 237.21/38.40 | (2346) all_1016_2 = all_1010_0 % 237.21/38.40 | % 237.21/38.40 | COMBINE_EQS: (2217), (2314) imply: % 237.21/38.40 | (2347) all_1508_1 = all_1065_0 % 237.21/38.40 | % 237.21/38.40 | COMBINE_EQS: (2220), (2317) imply: % 237.21/38.40 | (2348) all_1526_2 = all_1065_0 % 237.21/38.40 | % 237.21/38.40 | COMBINE_EQS: (2160), (2341) imply: % 237.21/38.40 | (2349) all_1553_2 = all_1065_0 % 237.21/38.40 | % 237.21/38.40 | COMBINE_EQS: (2166), (2348) imply: % 237.21/38.40 | (2350) all_1573_2 = all_1065_0 % 237.21/38.40 | % 237.21/38.40 | COMBINE_EQS: (2170), (2314) imply: % 237.21/38.40 | (2351) all_1578_3 = all_1065_0 % 237.21/38.40 | % 237.21/38.40 | REDUCE: (895), (2351) imply: % 237.21/38.40 | (2352) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, % 237.21/38.40 | all_1065_0) = all_1578_2 % 237.21/38.40 | % 237.21/38.40 | REDUCE: (886), (2350) imply: % 237.21/38.40 | (2353) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, % 237.21/38.40 | all_1065_0) = all_1573_1 % 237.21/38.40 | % 237.21/38.40 | REDUCE: (834), (2349) imply: % 237.21/38.40 | (2354) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, % 237.21/38.40 | all_1065_0) = all_1553_1 % 237.21/38.40 | % 237.21/38.40 | REDUCE: (820), (2158) imply: % 237.21/38.40 | (2355) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, % 237.21/38.40 | all_1065_0) = all_1541_0 % 237.21/38.40 | % 237.21/38.40 | REDUCE: (803), (2348) imply: % 237.21/38.40 | (2356) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, % 237.21/38.40 | all_1065_0) = all_1526_1 % 237.21/38.40 | % 237.21/38.40 | REDUCE: (787), (2347) imply: % 237.21/38.40 | (2357) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, % 237.21/38.40 | all_1065_0) = all_1508_0 % 237.21/38.40 | % 237.21/38.40 | REDUCE: (525), (2330) imply: % 237.21/38.40 | (2358) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v_e____, % 237.21/38.40 | all_1065_0) = all_1158_0 % 237.21/38.40 | % 237.21/38.40 | REDUCE: (885), (2151) imply: % 237.21/38.40 | (2359) c_Complex_ORe(all_1571_12) = all_1573_11 % 237.21/38.40 | % 237.21/38.40 | REDUCE: (884), (2151) imply: % 237.21/38.40 | (2360) c_Complex_OIm(all_1571_12) = all_1573_8 % 237.21/38.40 | % 237.21/38.40 | REDUCE: (872), (2151) imply: % 237.21/38.40 | (2361) $i(all_1571_12) % 237.21/38.40 | % 237.21/38.40 | REDUCE: (504), (2341) imply: % 237.21/38.40 | (2362) $i(all_1065_0) % 237.21/38.40 | % 237.21/38.40 | REDUCE: (1817), (2344) imply: % 237.21/38.40 | (2363) c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_662_0, all_1010_0) % 237.21/38.40 | % 237.21/38.40 | GROUND_INST: instantiating (241) with all_1571_4, all_1573_8, all_1571_12, % 237.21/38.40 | simplifying with (866), (2360) gives: % 237.21/38.40 | (2364) all_1573_8 = all_1571_4 % 237.21/38.40 | % 237.21/38.40 | GROUND_INST: instantiating (242) with all_1571_8, all_1573_11, all_1571_12, % 237.21/38.40 | simplifying with (868), (2359) gives: % 237.21/38.40 | (2365) all_1573_11 = all_1571_8 % 237.21/38.40 | % 237.21/38.40 | GROUND_INST: instantiating (253) with all_1541_0, all_1553_1, all_1065_0, % 237.21/38.40 | v_e____, tc_RealDef_Oreal, simplifying with (2354), (2355) gives: % 237.21/38.40 | (2366) all_1553_1 = all_1541_0 % 237.21/38.40 | % 237.21/38.40 | GROUND_INST: instantiating (253) with all_1508_0, all_1553_1, all_1065_0, % 237.21/38.40 | v_e____, tc_RealDef_Oreal, simplifying with (2354), (2357) gives: % 237.21/38.40 | (2367) all_1553_1 = all_1508_0 % 237.21/38.40 | % 237.21/38.40 | GROUND_INST: instantiating (253) with all_1553_1, all_1573_1, all_1065_0, % 237.21/38.40 | v_e____, tc_RealDef_Oreal, simplifying with (2353), (2354) gives: % 237.21/38.40 | (2368) all_1573_1 = all_1553_1 % 237.21/38.40 | % 237.21/38.40 | GROUND_INST: instantiating (253) with all_1526_1, all_1573_1, all_1065_0, % 237.21/38.40 | v_e____, tc_RealDef_Oreal, simplifying with (2353), (2356) gives: % 237.21/38.40 | (2369) all_1573_1 = all_1526_1 % 237.21/38.40 | % 237.21/38.40 | GROUND_INST: instantiating (253) with all_1541_0, all_1578_2, all_1065_0, % 237.21/38.40 | v_e____, tc_RealDef_Oreal, simplifying with (2352), (2355) gives: % 237.21/38.40 | (2370) all_1578_2 = all_1541_0 % 237.21/38.40 | % 237.21/38.40 | GROUND_INST: instantiating (253) with all_1158_0, all_1578_2, all_1065_0, % 237.21/38.40 | v_e____, tc_RealDef_Oreal, simplifying with (2352), (2358) gives: % 237.21/38.40 | (2371) all_1578_2 = all_1158_0 % 237.21/38.40 | % 237.21/38.40 | COMBINE_EQS: (2370), (2371) imply: % 237.21/38.40 | (2372) all_1541_0 = all_1158_0 % 237.21/38.40 | % 237.21/38.40 | SIMP: (2372) implies: % 237.21/38.40 | (2373) all_1541_0 = all_1158_0 % 237.21/38.40 | % 237.21/38.40 | COMBINE_EQS: (2368), (2369) imply: % 237.21/38.40 | (2374) all_1553_1 = all_1526_1 % 237.21/38.40 | % 237.21/38.40 | SIMP: (2374) implies: % 237.21/38.40 | (2375) all_1553_1 = all_1526_1 % 237.21/38.40 | % 237.21/38.40 | COMBINE_EQS: (2367), (2375) imply: % 237.21/38.40 | (2376) all_1526_1 = all_1508_0 % 237.21/38.40 | % 237.21/38.40 | COMBINE_EQS: (2366), (2375) imply: % 237.21/38.40 | (2377) all_1541_0 = all_1526_1 % 237.21/38.40 | % 237.21/38.40 | SIMP: (2377) implies: % 237.21/38.40 | (2378) all_1541_0 = all_1526_1 % 237.21/38.40 | % 237.21/38.40 | COMBINE_EQS: (2373), (2378) imply: % 237.21/38.40 | (2379) all_1526_1 = all_1158_0 % 237.21/38.40 | % 237.21/38.40 | SIMP: (2379) implies: % 237.21/38.40 | (2380) all_1526_1 = all_1158_0 % 237.21/38.40 | % 237.21/38.40 | COMBINE_EQS: (2376), (2380) imply: % 237.21/38.40 | (2381) all_1508_0 = all_1158_0 % 237.21/38.40 | % 237.21/38.40 | COMBINE_EQS: (2369), (2380) imply: % 237.21/38.40 | (2382) all_1573_1 = all_1158_0 % 237.21/38.40 | % 237.21/38.40 | REDUCE: (881), (2382) imply: % 237.21/38.40 | (2383) c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1158_0, % 237.21/38.40 | all_1158_0) = all_1573_0 % 237.21/38.40 | % 237.21/38.40 | REDUCE: (879), (2364) imply: % 237.21/38.40 | (2384) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1571_4, v_y____) % 237.21/38.40 | = all_1573_7 % 237.21/38.40 | % 237.21/38.40 | REDUCE: (878), (2365) imply: % 237.21/38.40 | (2385) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1571_8, v_x____) % 237.21/38.40 | = all_1573_10 % 237.21/38.40 | % 237.21/38.40 | GROUND_INST: instantiating (791) with all_692_0, all_1571_13, simplifying with % 237.21/38.40 | (279), (1809), (1811) gives: % 237.21/38.40 | (2386) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : % 237.21/38.40 | (c_Complex_ORe(v0) = v1 & % 237.21/38.40 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v2) = v3 & % 237.21/38.40 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v1, v_x____) = v2 % 237.21/38.40 | & v_s(all_1571_13) = v0 & $i(v3) & $i(v2) & $i(v1) & $i(v0) & % 237.21/38.40 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, all_1508_0)) % 237.21/38.40 | % 237.21/38.40 | GROUND_INST: instantiating (824) with v_n____, all_692_0, simplifying with % 237.21/38.40 | (3), (235), (280) gives: % 237.21/38.40 | (2387) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] % 237.21/38.40 | : (c_Complex_OIm(v1) = v2 & % 237.21/38.40 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v3) = v4 & % 237.21/38.40 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v2, v_y____) = v3 % 237.21/38.40 | & v_s(v0) = v1 & hAPP(v_f____, all_692_0) = v0 & $i(v4) & $i(v3) & % 237.21/38.40 | $i(v2) & $i(v1) & $i(v0) & % 237.21/38.40 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, all_1541_0)) % 237.21/38.40 | % 237.21/38.40 | GROUND_INST: instantiating (fact_o__apply) with v_n____, v_ga____, v_f____, % 237.21/38.40 | tc_Nat_Onat, tc_Nat_Onat, tc_Nat_Onat, all_656_0, all_1247_4, % 237.21/38.40 | simplifying with (229), (230), (233), (235), (259), (1807) gives: % 237.21/38.40 | (2388) ? [v0: $i] : (hAPP(v_ga____, v_n____) = v0 & hAPP(v_f____, v0) = % 237.21/38.40 | all_1247_4 & $i(v0) & $i(all_1247_4)) % 237.21/38.40 | % 237.21/38.40 | GROUND_INST: instantiating (29) with all_1571_10, all_1571_9, simplifying with % 237.21/38.40 | (852), (857) gives: % 237.21/38.40 | (2389) ? [v0: $i] : ? [v1: $i] : (c_Complex_ORe(all_1571_10) = v0 & % 237.21/38.40 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v0) = v1 & $i(v1) & % 237.21/38.40 | $i(v0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, % 237.21/38.40 | all_1571_9)) % 237.21/38.40 | % 237.21/38.40 | GROUND_INST: instantiating (28) with all_1571_10, all_1571_9, simplifying with % 237.21/38.40 | (852), (857) gives: % 237.21/38.40 | (2390) ? [v0: $i] : ? [v1: $i] : (c_Complex_OIm(all_1571_10) = v0 & % 237.21/38.40 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v0) = v1 & $i(v1) & % 237.21/38.40 | $i(v0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, % 237.21/38.40 | all_1571_9)) % 237.21/38.40 | % 237.21/38.40 | GROUND_INST: instantiating (30) with all_1571_10, all_1571_9, simplifying with % 237.21/38.40 | (852), (857) gives: % 237.21/38.40 | (2391) ? [v0: $i] : (c_Complex_ORe(all_1571_10) = v0 & $i(v0) & % 237.21/38.40 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, % 237.21/38.40 | all_1571_9)) % 237.21/38.40 | % 237.21/38.40 | GROUND_INST: instantiating (fact_norm__minus__commute) with all_1247_3, % 237.21/38.40 | all_1247_2, tc_Complex_Ocomplex, all_1247_1, all_1247_0, % 237.21/38.40 | simplifying with (228), (234), (579), (582), (584), (1810) gives: % 237.21/38.40 | (2392) ? [v0: $i] : (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, % 237.21/38.40 | all_1247_2, all_1247_3) = v0 & % 237.21/38.40 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v0) = % 237.21/38.40 | all_1247_0 & $i(v0) & $i(all_1247_0)) % 237.21/38.40 | % 237.21/38.40 | GROUND_INST: instantiating (fact_norm__minus__commute) with all_1571_12, % 237.21/38.40 | all_1247_2, tc_Complex_Ocomplex, all_1571_10, all_1571_9, % 237.21/38.40 | simplifying with (228), (234), (857), (1806), (1810), (2361) % 237.21/38.40 | gives: % 237.21/38.40 | (2393) ? [v0: $i] : (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, % 237.21/38.40 | all_1247_2, all_1571_12) = v0 & % 237.21/38.40 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v0) = % 237.21/38.40 | all_1571_9 & $i(v0) & $i(all_1571_9)) % 237.21/38.40 | % 237.21/38.40 | GROUND_INST: instantiating (fact_Re) with v_y____, v_x____, all_1247_2, % 237.21/38.40 | simplifying with (236), (237), (585) gives: % 237.21/38.40 | (2394) c_Complex_ORe(all_1247_2) = v_x____ % 237.21/38.40 | % 237.21/38.40 | GROUND_INST: instantiating (fact_Im) with v_y____, v_x____, all_1247_2, % 237.21/38.40 | simplifying with (236), (237), (585) gives: % 237.21/38.40 | (2395) c_Complex_OIm(all_1247_2) = v_y____ % 237.21/38.40 | % 237.21/38.40 | GROUND_INST: instantiating % 237.21/38.40 | (fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) % 237.21/38.40 | with all_1571_5, all_1571_1, tc_RealDef_Oreal, all_1571_0, % 237.21/38.40 | simplifying with (226), (231), (853), (854), (863) gives: % 237.21/38.40 | (2396) c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1571_1, % 237.21/38.40 | all_1571_5) = all_1571_0 & $i(all_1571_0) % 237.21/38.40 | % 237.21/38.40 | ALPHA: (2396) implies: % 237.21/38.40 | (2397) c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1571_1, % 237.21/38.40 | all_1571_5) = all_1571_0 % 237.21/38.40 | % 237.21/38.40 | GROUND_INST: instantiating % 237.21/38.40 | (fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J) % 237.21/38.40 | with all_1573_9, all_1573_6, tc_RealDef_Oreal, all_1573_5, % 237.21/38.40 | simplifying with (226), (231), (873), (874), (880) gives: % 237.21/38.40 | (2398) c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1573_6, % 237.21/38.40 | all_1573_9) = all_1573_5 & $i(all_1573_5) % 237.21/38.40 | % 237.21/38.40 | ALPHA: (2398) implies: % 237.21/38.40 | (2399) $i(all_1573_5) % 237.21/38.40 | (2400) c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1573_6, % 237.21/38.40 | all_1573_9) = all_1573_5 % 237.21/38.40 | % 237.21/38.40 | GROUND_INST: instantiating (31) with all_1247_2, all_1571_12, all_1571_4, % 237.21/38.40 | all_1571_3, all_1571_2, simplifying with (860), (866), (1805), % 237.21/38.40 | (1810), (2361) gives: % 237.21/38.40 | (2401) ? [v0: $i] : (c_Complex_OIm(v0) = all_1571_2 & % 237.21/38.40 | c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, all_1571_12, % 237.21/38.40 | all_1247_2) = v0 & $i(v0) & $i(all_1571_2)) % 237.21/38.40 | % 237.21/38.40 | GROUND_INST: instantiating (32) with all_1247_2, all_1571_12, all_1571_8, % 237.21/38.40 | all_1571_7, all_1571_6, simplifying with (859), (868), (1804), % 237.21/38.40 | (1810), (2361) gives: % 237.21/38.40 | (2402) ? [v0: $i] : (c_Complex_ORe(v0) = all_1571_6 & % 237.21/38.40 | c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, all_1571_12, % 237.21/38.40 | all_1247_2) = v0 & $i(v0) & $i(all_1571_6)) % 237.21/38.40 | % 237.21/38.40 | GROUND_INST: instantiating (fact_not__one__le__zero) with tc_Int_Oint, % 237.21/38.40 | all_670_0, simplifying with (221), (224), (264) gives: % 237.21/38.40 | (2403) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & % 237.21/38.40 | $i(v0) & ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, % 237.21/38.40 | all_670_0, v0)) % 237.21/38.40 | % 237.21/38.40 | GROUND_INST: instantiating (fact_not__one__less__zero) with tc_Int_Oint, % 237.21/38.40 | all_670_0, simplifying with (221), (224), (264) gives: % 237.21/38.40 | (2404) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & % 237.21/38.40 | $i(v0) & ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_670_0, % 237.21/38.40 | v0)) % 237.21/38.40 | % 237.21/38.40 | GROUND_INST: instantiating (fact_divide_Oadd) with all_1065_0, v_e____, % 237.21/38.40 | v_e____, tc_RealDef_Oreal, all_1158_0, all_1158_0, all_1573_0, % 237.21/38.40 | simplifying with (225), (231), (232), (2358), (2362), (2383) % 237.21/38.40 | gives: % 237.21/38.40 | (2405) ? [v0: $i] : (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v0, % 237.21/38.40 | all_1065_0) = all_1573_0 & % 237.21/38.40 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v_e____, v_e____) = % 237.21/38.40 | v0 & $i(v0) & $i(all_1573_0)) % 237.21/38.40 | % 237.21/38.40 | GROUND_INST: instantiating (471) with v_e____, all_1158_0, all_1573_0, % 237.21/38.40 | simplifying with (232), (2358), (2383) gives: % 237.21/38.40 | (2406) all_1573_0 = v_e____ % 237.21/38.40 | % 237.21/38.40 | GROUND_INST: instantiating (86) with all_1010_1, c_Int_OPls, all_662_0, % 237.21/38.40 | all_1010_0, simplifying with (425), (1803), (1813), (2150), % 237.21/38.40 | (2363) gives: % 237.21/38.40 | (2407) c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, all_1010_1) % 237.21/38.40 | % 237.38/38.40 | GROUND_INST: instantiating (47) with all_684_0, tc_Int_Oint, all_670_0, % 237.38/38.40 | simplifying with (222), (223), (224), (1802), (1812) gives: % 237.38/38.40 | (2408) ? [v0: $i] : (( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, % 237.38/38.40 | c_Int_OPls, all_684_0) | % 237.38/38.40 | (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) & % 237.38/38.40 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, % 237.38/38.40 | all_670_0))) & % 237.38/38.40 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, % 237.38/38.40 | all_684_0) | (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & % 237.38/38.40 | $i(v0) & ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, % 237.38/38.40 | all_670_0)))) % 237.38/38.40 | % 237.38/38.40 | GROUND_INST: instantiating (49) with all_684_0, tc_Int_Oint, all_670_0, % 237.38/38.40 | simplifying with (222), (223), (224), (1802), (1812) gives: % 237.38/38.40 | (2409) ? [v0: $i] : (( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 237.38/38.40 | all_684_0, c_Int_OPls) | % 237.38/38.40 | (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) & % 237.38/38.40 | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_670_0, v0))) & % 237.38/38.40 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, all_684_0, c_Int_OPls) % 237.38/38.40 | | (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) & ~ % 237.38/38.40 | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_670_0, v0)))) % 237.38/38.40 | % 237.38/38.40 | GROUND_INST: instantiating (48) with all_684_0, tc_Int_Oint, all_670_0, % 237.38/38.40 | simplifying with (222), (223), (224), (1802), (1812) gives: % 237.38/38.41 | (2410) ? [v0: $i] : (( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 237.38/38.41 | c_Int_OPls, all_684_0) | % 237.38/38.41 | (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) & % 237.38/38.41 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_670_0))) & % 237.38/38.41 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, all_684_0) % 237.38/38.41 | | (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) & ~ % 237.38/38.41 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_670_0)))) % 237.38/38.41 | % 237.38/38.41 | GROUND_INST: instantiating (94) with all_684_0, all_670_0, simplifying with % 237.38/38.41 | (1802), (1812) gives: % 237.38/38.41 | (2411) all_684_0 = all_670_0 % 237.38/38.41 | % 237.38/38.41 | GROUND_INST: instantiating (113) with all_684_0, all_670_0, simplifying with % 237.38/38.41 | (263), (1802), (1812) gives: % 237.38/38.41 | (2412) ? [v0: $i] : ? [v1: $i] : (c_Int_OBit0(all_684_0) = v0 & % 237.38/38.41 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v1 & $i(v1) & % 237.38/38.41 | $i(v0) & ~ c_Nat__Numeral_Oneg(v1)) % 237.38/38.41 | % 237.38/38.41 | GROUND_INST: instantiating (47) with all_1010_1, tc_Int_Oint, all_1032_0, % 237.38/38.41 | simplifying with (222), (223), (224), (2085), (2150) gives: % 237.38/38.41 | (2413) ? [v0: $i] : (( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, % 237.38/38.41 | c_Int_OPls, all_1010_1) | % 237.38/38.41 | (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) & % 237.38/38.41 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, % 237.38/38.41 | all_1032_0))) & % 237.38/38.41 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, % 237.38/38.41 | all_1010_1) | (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & % 237.38/38.41 | $i(v0) & ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, % 237.38/38.41 | all_1032_0)))) % 237.38/38.41 | % 237.38/38.41 | GROUND_INST: instantiating (48) with all_1010_1, tc_Int_Oint, all_1032_0, % 237.38/38.41 | simplifying with (222), (223), (224), (2085), (2150) gives: % 237.38/38.41 | (2414) ? [v0: $i] : (( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 237.38/38.41 | c_Int_OPls, all_1010_1) | % 237.38/38.41 | (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) & % 237.38/38.41 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_1032_0))) & % 237.38/38.41 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, % 237.38/38.41 | all_1010_1) | (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & % 237.38/38.41 | $i(v0) & ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, % 237.38/38.41 | all_1032_0)))) % 237.38/38.41 | % 237.38/38.41 | GROUND_INST: instantiating (94) with all_1010_1, all_1032_0, simplifying with % 237.38/38.41 | (2085), (2150) gives: % 237.38/38.41 | (2415) all_1032_0 = all_1010_1 % 237.38/38.41 | % 237.38/38.41 | GROUND_INST: instantiating (112) with all_1010_1, all_1032_0, simplifying with % 237.38/38.41 | (2085), (2150) gives: % 237.38/38.41 | (2416) c_Nat__Numeral_Oneg(all_1032_0) | ? [v0: $i] : ? [v1: $i] : % 237.38/38.41 | (c_Int_OBit1(all_1010_1) = v0 & % 237.38/38.41 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v1 & $i(v1) & % 237.38/38.41 | $i(v0) & ~ c_Nat__Numeral_Oneg(v1)) % 237.38/38.41 | % 237.38/38.41 | GROUND_INST: instantiating (47) with all_1040_1, tc_Int_Oint, all_1040_0, % 237.38/38.41 | simplifying with (222), (223), (224), (457), (459) gives: % 237.38/38.41 | (2417) ? [v0: $i] : (( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, % 237.38/38.41 | c_Int_OPls, all_1040_1) | % 237.38/38.41 | (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) & % 237.38/38.41 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, % 237.38/38.41 | all_1040_0))) & % 237.38/38.41 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, % 237.38/38.41 | all_1040_1) | (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & % 237.38/38.41 | $i(v0) & ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, % 237.38/38.41 | all_1040_0)))) % 237.38/38.41 | % 237.38/38.41 | GROUND_INST: instantiating (94) with all_1040_1, all_1040_0, simplifying with % 237.38/38.41 | (457), (459) gives: % 237.38/38.41 | (2418) all_1040_0 = all_1040_1 % 237.38/38.41 | % 237.38/38.41 | GROUND_INST: instantiating (51) with c_Int_OPls, all_684_0, simplifying with % 237.38/38.41 | (274), (1813), (1816) gives: % 237.38/38.41 | (2419) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, % 237.38/38.41 | all_684_0) % 237.38/38.41 | % 237.38/38.41 | GROUND_INST: instantiating (61) with c_Int_OPls, all_684_0, simplifying with % 237.38/38.41 | (274), (1813), (1816) gives: % 237.38/38.41 | (2420) c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, all_684_0) % 237.38/38.41 | % 237.38/38.41 | GROUND_INST: instantiating (fact_succ__Bit1) with c_Int_OPls, all_684_0, % 237.38/38.41 | simplifying with (275), (1813) gives: % 237.38/38.41 | (2421) ? [v0: $i] : ? [v1: $i] : (c_Int_Osucc(v0) = v1 & % 237.38/38.41 | c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(all_684_0) = v1 & % 237.38/38.41 | $i(v1) & $i(v0)) % 237.38/38.41 | % 237.38/38.41 | DELTA: instantiating (2404) with fresh symbol all_1674_0 gives: % 237.38/38.41 | (2422) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1674_0 & % 237.38/38.41 | $i(all_1674_0) & ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 237.38/38.41 | all_670_0, all_1674_0) % 237.38/38.41 | % 237.38/38.41 | ALPHA: (2422) implies: % 237.38/38.41 | (2423) ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_670_0, all_1674_0) % 237.38/38.41 | (2424) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1674_0 % 237.38/38.41 | % 237.38/38.41 | DELTA: instantiating (2403) with fresh symbol all_1680_0 gives: % 237.38/38.41 | (2425) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1680_0 & % 237.38/38.41 | $i(all_1680_0) & ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, % 237.38/38.41 | all_670_0, all_1680_0) % 237.38/38.41 | % 237.38/38.41 | ALPHA: (2425) implies: % 237.38/38.41 | (2426) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1680_0 % 237.38/38.41 | % 237.38/38.41 | DELTA: instantiating (2391) with fresh symbol all_1714_0 gives: % 237.38/38.41 | (2427) c_Complex_ORe(all_1571_10) = all_1714_0 & $i(all_1714_0) & % 237.38/38.41 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1714_0, % 237.38/38.41 | all_1571_9) % 237.38/38.41 | % 237.38/38.41 | ALPHA: (2427) implies: % 237.38/38.41 | (2428) c_Complex_ORe(all_1571_10) = all_1714_0 % 237.38/38.41 | % 237.38/38.41 | DELTA: instantiating (2393) with fresh symbol all_1740_0 gives: % 237.38/38.41 | (2429) c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, all_1247_2, % 237.38/38.41 | all_1571_12) = all_1740_0 & % 237.38/38.41 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1740_0) = % 237.38/38.41 | all_1571_9 & $i(all_1740_0) & $i(all_1571_9) % 237.38/38.41 | % 237.38/38.41 | ALPHA: (2429) implies: % 237.38/38.41 | (2430) $i(all_1571_9) % 237.38/38.41 | (2431) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1740_0) = % 237.38/38.41 | all_1571_9 % 237.38/38.41 | (2432) c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, all_1247_2, % 237.38/38.41 | all_1571_12) = all_1740_0 % 237.38/38.41 | % 237.38/38.41 | DELTA: instantiating (2388) with fresh symbol all_1742_0 gives: % 237.38/38.41 | (2433) hAPP(v_ga____, v_n____) = all_1742_0 & hAPP(v_f____, all_1742_0) = % 237.38/38.41 | all_1247_4 & $i(all_1742_0) & $i(all_1247_4) % 237.38/38.41 | % 237.38/38.41 | ALPHA: (2433) implies: % 237.38/38.41 | (2434) hAPP(v_f____, all_1742_0) = all_1247_4 % 237.38/38.41 | (2435) hAPP(v_ga____, v_n____) = all_1742_0 % 237.38/38.41 | % 237.38/38.41 | DELTA: instantiating (2402) with fresh symbol all_1744_0 gives: % 237.38/38.41 | (2436) c_Complex_ORe(all_1744_0) = all_1571_6 & % 237.38/38.41 | c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, all_1571_12, % 237.38/38.41 | all_1247_2) = all_1744_0 & $i(all_1744_0) & $i(all_1571_6) % 237.38/38.41 | % 237.38/38.41 | ALPHA: (2436) implies: % 237.38/38.41 | (2437) c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, all_1571_12, % 237.38/38.41 | all_1247_2) = all_1744_0 % 237.38/38.41 | (2438) c_Complex_ORe(all_1744_0) = all_1571_6 % 237.38/38.41 | % 237.38/38.41 | DELTA: instantiating (2401) with fresh symbol all_1748_0 gives: % 237.38/38.41 | (2439) c_Complex_OIm(all_1748_0) = all_1571_2 & % 237.38/38.41 | c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, all_1571_12, % 237.38/38.41 | all_1247_2) = all_1748_0 & $i(all_1748_0) & $i(all_1571_2) % 237.38/38.41 | % 237.38/38.41 | ALPHA: (2439) implies: % 237.38/38.41 | (2440) c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, all_1571_12, % 237.38/38.41 | all_1247_2) = all_1748_0 % 237.38/38.41 | (2441) c_Complex_OIm(all_1748_0) = all_1571_2 % 237.38/38.41 | % 237.38/38.41 | DELTA: instantiating (2392) with fresh symbol all_1758_0 gives: % 237.38/38.41 | (2442) c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, all_1247_2, % 237.38/38.41 | all_1247_3) = all_1758_0 & % 237.38/38.41 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1758_0) = % 237.38/38.41 | all_1247_0 & $i(all_1758_0) & $i(all_1247_0) % 237.38/38.41 | % 237.38/38.41 | ALPHA: (2442) implies: % 237.38/38.41 | (2443) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1758_0) = % 237.38/38.41 | all_1247_0 % 237.38/38.41 | (2444) c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, all_1247_2, % 237.38/38.41 | all_1247_3) = all_1758_0 % 237.38/38.41 | % 237.38/38.41 | DELTA: instantiating (2405) with fresh symbol all_1766_0 gives: % 237.38/38.41 | (2445) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1766_0, % 237.38/38.41 | all_1065_0) = all_1573_0 & % 237.38/38.41 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v_e____, v_e____) = % 237.38/38.41 | all_1766_0 & $i(all_1766_0) & $i(all_1573_0) % 237.38/38.41 | % 237.38/38.41 | ALPHA: (2445) implies: % 237.38/38.41 | (2446) $i(all_1573_0) % 237.38/38.41 | % 237.38/38.41 | DELTA: instantiating (2390) with fresh symbols all_1774_0, all_1774_1 gives: % 237.38/38.41 | (2447) c_Complex_OIm(all_1571_10) = all_1774_1 & % 237.38/38.41 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1774_1) = all_1774_0 % 237.38/38.41 | & $i(all_1774_0) & $i(all_1774_1) & % 237.38/38.41 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1774_0, % 237.38/38.41 | all_1571_9) % 237.38/38.41 | % 237.38/38.41 | ALPHA: (2447) implies: % 237.38/38.41 | (2448) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1774_1) = all_1774_0 % 237.38/38.41 | (2449) c_Complex_OIm(all_1571_10) = all_1774_1 % 237.38/38.41 | % 237.38/38.41 | DELTA: instantiating (2389) with fresh symbols all_1792_0, all_1792_1 gives: % 237.38/38.41 | (2450) c_Complex_ORe(all_1571_10) = all_1792_1 & % 237.38/38.41 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1792_1) = all_1792_0 % 237.38/38.41 | & $i(all_1792_0) & $i(all_1792_1) & % 237.38/38.41 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1792_0, % 237.38/38.41 | all_1571_9) % 237.38/38.41 | % 237.38/38.41 | ALPHA: (2450) implies: % 237.38/38.41 | (2451) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1792_1) = all_1792_0 % 237.38/38.41 | (2452) c_Complex_ORe(all_1571_10) = all_1792_1 % 237.38/38.41 | % 237.38/38.41 | DELTA: instantiating (2421) with fresh symbols all_1802_0, all_1802_1 gives: % 237.38/38.41 | (2453) c_Int_Osucc(all_1802_1) = all_1802_0 & c_Int_OBit1(c_Int_OPls) = % 237.38/38.41 | all_1802_1 & c_Int_OBit0(all_684_0) = all_1802_0 & $i(all_1802_0) & % 237.38/38.41 | $i(all_1802_1) % 237.38/38.41 | % 237.38/38.41 | ALPHA: (2453) implies: % 237.38/38.41 | (2454) c_Int_OBit0(all_684_0) = all_1802_0 % 237.38/38.41 | % 237.38/38.41 | DELTA: instantiating (2412) with fresh symbols all_1851_0, all_1851_1 gives: % 237.38/38.41 | (2455) c_Int_OBit0(all_684_0) = all_1851_1 & % 237.38/38.41 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, all_1851_1) = % 237.38/38.41 | all_1851_0 & $i(all_1851_0) & $i(all_1851_1) & ~ % 237.38/38.41 | c_Nat__Numeral_Oneg(all_1851_0) % 237.38/38.41 | % 237.38/38.41 | ALPHA: (2455) implies: % 237.38/38.41 | (2456) ~ c_Nat__Numeral_Oneg(all_1851_0) % 237.38/38.41 | (2457) c_Int_Onumber__class_Onumber__of(tc_Int_Oint, all_1851_1) = % 237.38/38.41 | all_1851_0 % 237.38/38.41 | (2458) c_Int_OBit0(all_684_0) = all_1851_1 % 237.38/38.41 | % 237.38/38.41 | DELTA: instantiating (2409) with fresh symbol all_1976_0 gives: % 237.38/38.41 | (2459) ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_684_0, % 237.38/38.41 | c_Int_OPls) | (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = % 237.38/38.41 | all_1976_0 & $i(all_1976_0) & % 237.38/38.41 | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_670_0, % 237.38/38.41 | all_1976_0))) & (c_Orderings_Oord__class_Oless(tc_Int_Oint, % 237.38/38.41 | all_684_0, c_Int_OPls) | % 237.38/38.41 | (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1976_0 & % 237.38/38.41 | $i(all_1976_0) & ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 237.38/38.41 | all_670_0, all_1976_0))) % 237.38/38.41 | % 237.38/38.41 | ALPHA: (2459) implies: % 237.38/38.41 | (2460) c_Orderings_Oord__class_Oless(tc_Int_Oint, all_684_0, c_Int_OPls) | % 237.38/38.41 | (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1976_0 & % 237.38/38.41 | $i(all_1976_0) & ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 237.38/38.41 | all_670_0, all_1976_0)) % 237.38/38.41 | % 237.38/38.41 | DELTA: instantiating (2417) with fresh symbol all_1979_0 gives: % 237.38/38.41 | (2461) ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, % 237.38/38.41 | all_1040_1) | (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = % 237.38/38.41 | all_1979_0 & $i(all_1979_0) & % 237.38/38.41 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1979_0, % 237.38/38.41 | all_1040_0))) & % 237.38/38.41 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, % 237.38/38.41 | all_1040_1) | (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = % 237.38/38.41 | all_1979_0 & $i(all_1979_0) & ~ % 237.38/38.41 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1979_0, % 237.38/38.41 | all_1040_0))) % 237.38/38.41 | % 237.38/38.41 | ALPHA: (2461) implies: % 237.38/38.41 | (2462) ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, % 237.38/38.41 | all_1040_1) | (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = % 237.38/38.41 | all_1979_0 & $i(all_1979_0) & % 237.38/38.41 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1979_0, % 237.38/38.41 | all_1040_0)) % 237.38/38.41 | % 237.38/38.41 | DELTA: instantiating (2414) with fresh symbol all_1984_0 gives: % 237.38/38.41 | (2463) ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, % 237.38/38.41 | all_1010_1) | (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = % 237.38/38.41 | all_1984_0 & $i(all_1984_0) & % 237.38/38.41 | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1984_0, % 237.38/38.41 | all_1032_0))) & (c_Orderings_Oord__class_Oless(tc_Int_Oint, % 237.38/38.41 | c_Int_OPls, all_1010_1) | % 237.38/38.41 | (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1984_0 & % 237.38/38.41 | $i(all_1984_0) & ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 237.38/38.41 | all_1984_0, all_1032_0))) % 237.38/38.41 | % 237.38/38.41 | ALPHA: (2463) implies: % 237.38/38.41 | (2464) ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, % 237.38/38.41 | all_1010_1) | (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = % 237.38/38.41 | all_1984_0 & $i(all_1984_0) & % 237.38/38.41 | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1984_0, % 237.38/38.41 | all_1032_0)) % 237.38/38.41 | % 237.38/38.41 | DELTA: instantiating (2410) with fresh symbol all_1985_0 gives: % 237.38/38.41 | (2465) ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, % 237.38/38.41 | all_684_0) | (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = % 237.38/38.41 | all_1985_0 & $i(all_1985_0) & % 237.38/38.41 | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1985_0, % 237.38/38.41 | all_670_0))) & (c_Orderings_Oord__class_Oless(tc_Int_Oint, % 237.38/38.41 | c_Int_OPls, all_684_0) | % 237.38/38.41 | (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1985_0 & % 237.38/38.41 | $i(all_1985_0) & ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, % 237.38/38.41 | all_1985_0, all_670_0))) % 237.38/38.41 | % 237.38/38.41 | ALPHA: (2465) implies: % 237.38/38.41 | (2466) ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, all_684_0) % 237.38/38.41 | | (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1985_0 & % 237.38/38.41 | $i(all_1985_0) & c_Orderings_Oord__class_Oless(tc_Int_Oint, % 237.38/38.41 | all_1985_0, all_670_0)) % 237.38/38.41 | % 237.38/38.41 | DELTA: instantiating (2413) with fresh symbol all_1993_0 gives: % 237.38/38.41 | (2467) ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, % 237.38/38.41 | all_1010_1) | (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = % 237.38/38.41 | all_1993_0 & $i(all_1993_0) & % 237.38/38.41 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1993_0, % 237.38/38.41 | all_1032_0))) & % 237.38/38.41 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, % 237.38/38.41 | all_1010_1) | (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = % 237.38/38.41 | all_1993_0 & $i(all_1993_0) & ~ % 237.38/38.41 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1993_0, % 237.38/38.41 | all_1032_0))) % 237.38/38.41 | % 237.38/38.41 | ALPHA: (2467) implies: % 237.38/38.41 | (2468) ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, % 237.38/38.41 | all_1010_1) | (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = % 237.38/38.41 | all_1993_0 & $i(all_1993_0) & % 237.38/38.41 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1993_0, % 237.38/38.41 | all_1032_0)) % 237.38/38.41 | % 237.38/38.41 | DELTA: instantiating (2408) with fresh symbol all_2003_0 gives: % 237.38/38.41 | (2469) ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, % 237.38/38.41 | all_684_0) | (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = % 237.38/38.41 | all_2003_0 & $i(all_2003_0) & % 237.38/38.41 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_2003_0, % 237.38/38.41 | all_670_0))) & (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, % 237.38/38.41 | c_Int_OPls, all_684_0) | % 237.38/38.41 | (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_2003_0 & % 237.38/38.41 | $i(all_2003_0) & ~ % 237.38/38.41 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_2003_0, % 237.38/38.41 | all_670_0))) % 237.38/38.41 | % 237.38/38.41 | ALPHA: (2469) implies: % 237.38/38.41 | (2470) ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, % 237.38/38.41 | all_684_0) | (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = % 237.38/38.41 | all_2003_0 & $i(all_2003_0) & % 237.38/38.41 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_2003_0, % 237.38/38.41 | all_670_0)) % 237.38/38.41 | % 237.38/38.41 | DELTA: instantiating (2386) with fresh symbols all_2008_0, all_2008_1, % 237.38/38.41 | all_2008_2, all_2008_3 gives: % 237.38/38.41 | (2471) c_Complex_ORe(all_2008_3) = all_2008_2 & % 237.38/38.41 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_2008_1) = all_2008_0 % 237.38/38.41 | & c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_2008_2, % 237.38/38.41 | v_x____) = all_2008_1 & v_s(all_1571_13) = all_2008_3 & % 237.38/38.41 | $i(all_2008_0) & $i(all_2008_1) & $i(all_2008_2) & $i(all_2008_3) & % 237.38/38.41 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2008_0, % 237.38/38.41 | all_1508_0) % 237.38/38.41 | % 237.38/38.41 | ALPHA: (2471) implies: % 237.38/38.41 | (2472) v_s(all_1571_13) = all_2008_3 % 237.38/38.41 | % 237.38/38.41 | DELTA: instantiating (2387) with fresh symbols all_2019_0, all_2019_1, % 237.38/38.41 | all_2019_2, all_2019_3, all_2019_4 gives: % 237.38/38.41 | (2473) c_Complex_OIm(all_2019_3) = all_2019_2 & % 237.38/38.41 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_2019_1) = all_2019_0 % 237.38/38.41 | & c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_2019_2, % 237.38/38.41 | v_y____) = all_2019_1 & v_s(all_2019_4) = all_2019_3 & % 237.38/38.41 | hAPP(v_f____, all_692_0) = all_2019_4 & $i(all_2019_0) & % 237.38/38.41 | $i(all_2019_1) & $i(all_2019_2) & $i(all_2019_3) & $i(all_2019_4) & % 237.38/38.41 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2019_0, % 237.38/38.41 | all_1541_0) % 237.38/38.41 | % 237.38/38.41 | ALPHA: (2473) implies: % 237.38/38.41 | (2474) hAPP(v_f____, all_692_0) = all_2019_4 % 237.38/38.41 | % 237.38/38.41 | REDUCE: (2411), (2458) imply: % 237.38/38.41 | (2475) c_Int_OBit0(all_670_0) = all_1851_1 % 237.38/38.41 | % 237.38/38.41 | REDUCE: (2411), (2454) imply: % 237.38/38.41 | (2476) c_Int_OBit0(all_670_0) = all_1802_0 % 237.38/38.41 | % 237.38/38.41 | REDUCE: (1801), (2411) imply: % 237.38/38.41 | (2477) c_Int_OBit0(all_670_0) = all_1010_1 % 237.38/38.41 | % 237.38/38.41 | REDUCE: (2085), (2415) imply: % 237.38/38.41 | (2478) c_Int_Onumber__class_Onumber__of(tc_Int_Oint, all_1010_1) = % 237.38/38.41 | all_1010_1 % 237.38/38.41 | % 237.38/38.41 | REDUCE: (1814), (2418) imply: % 237.38/38.41 | (2479) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, % 237.38/38.41 | all_1040_1) % 237.38/38.41 | % 237.38/38.41 | REDUCE: (1815), (2415) imply: % 237.38/38.41 | (2480) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, % 237.38/38.41 | all_1010_1) % 237.38/38.41 | % 237.38/38.41 | REDUCE: (2411), (2419) imply: % 237.38/38.41 | (2481) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, % 237.38/38.41 | all_670_0) % 237.38/38.41 | % 237.38/38.41 | REDUCE: (2411), (2420) imply: % 237.38/38.41 | (2482) c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, all_670_0) % 237.38/38.41 | % 237.38/38.41 | REDUCE: (871), (2406) imply: % 237.38/38.41 | (2483) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1573_5, v_e____) % 237.38/38.41 | % 237.38/38.41 | BETA: splitting (2462) gives: % 237.38/38.41 | % 237.38/38.41 | Case 1: % 237.38/38.41 | | % 237.38/38.41 | | (2484) ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, % 237.38/38.41 | | all_1040_1) % 237.38/38.41 | | % 237.38/38.41 | | PRED_UNIFY: (2479), (2484) imply: % 237.38/38.41 | | (2485) $false % 237.38/38.41 | | % 237.38/38.41 | | CLOSE: (2485) is inconsistent. % 237.38/38.41 | | % 237.38/38.42 | Case 2: % 237.38/38.42 | | % 237.38/38.42 | | (2486) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1979_0 & % 237.38/38.42 | | $i(all_1979_0) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, % 237.38/38.42 | | all_1979_0, all_1040_0) % 237.38/38.42 | | % 237.38/38.42 | | ALPHA: (2486) implies: % 237.38/38.42 | | (2487) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1979_0 % 237.38/38.42 | | % 237.38/38.42 | | BETA: splitting (2466) gives: % 237.38/38.42 | | % 237.38/38.42 | | Case 1: % 237.38/38.42 | | | % 237.38/38.42 | | | (2488) ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, % 237.38/38.42 | | | all_684_0) % 237.38/38.42 | | | % 237.38/38.42 | | | REDUCE: (2411), (2488) imply: % 237.38/38.42 | | | (2489) ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, % 237.38/38.42 | | | all_670_0) % 237.38/38.42 | | | % 237.38/38.42 | | | PRED_UNIFY: (2482), (2489) imply: % 237.38/38.42 | | | (2490) $false % 237.38/38.42 | | | % 237.38/38.42 | | | CLOSE: (2490) is inconsistent. % 237.38/38.42 | | | % 237.38/38.42 | | Case 2: % 237.38/38.42 | | | % 237.38/38.42 | | | (2491) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1985_0 & % 237.38/38.42 | | | $i(all_1985_0) & c_Orderings_Oord__class_Oless(tc_Int_Oint, % 237.38/38.42 | | | all_1985_0, all_670_0) % 237.38/38.42 | | | % 237.38/38.42 | | | ALPHA: (2491) implies: % 237.38/38.42 | | | (2492) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1985_0 % 237.38/38.42 | | | % 237.38/38.42 | | | BETA: splitting (2470) gives: % 237.38/38.42 | | | % 237.38/38.42 | | | Case 1: % 237.38/38.42 | | | | % 237.38/38.42 | | | | (2493) ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, % 237.38/38.42 | | | | all_684_0) % 237.38/38.42 | | | | % 237.38/38.42 | | | | REDUCE: (2411), (2493) imply: % 237.38/38.42 | | | | (2494) ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, % 237.38/38.42 | | | | all_670_0) % 237.38/38.42 | | | | % 237.38/38.42 | | | | PRED_UNIFY: (2481), (2494) imply: % 237.38/38.42 | | | | (2495) $false % 237.38/38.42 | | | | % 237.38/38.42 | | | | CLOSE: (2495) is inconsistent. % 237.38/38.42 | | | | % 237.38/38.42 | | | Case 2: % 237.38/38.42 | | | | % 237.38/38.42 | | | | (2496) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_2003_0 & % 237.38/38.42 | | | | $i(all_2003_0) & % 237.38/38.42 | | | | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_2003_0, % 237.38/38.42 | | | | all_670_0) % 237.38/38.42 | | | | % 237.38/38.42 | | | | ALPHA: (2496) implies: % 237.38/38.42 | | | | (2497) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_2003_0 % 237.38/38.42 | | | | % 237.38/38.42 | | | | BETA: splitting (2468) gives: % 237.38/38.42 | | | | % 237.38/38.42 | | | | Case 1: % 237.38/38.42 | | | | | % 237.38/38.42 | | | | | (2498) ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, % 237.38/38.42 | | | | | c_Int_OPls, all_1010_1) % 237.38/38.42 | | | | | % 237.38/38.42 | | | | | PRED_UNIFY: (2480), (2498) imply: % 237.38/38.42 | | | | | (2499) $false % 237.38/38.42 | | | | | % 237.38/38.42 | | | | | CLOSE: (2499) is inconsistent. % 237.38/38.42 | | | | | % 237.38/38.42 | | | | Case 2: % 237.38/38.42 | | | | | % 237.38/38.42 | | | | | (2500) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1993_0 & % 237.38/38.42 | | | | | $i(all_1993_0) & % 237.38/38.42 | | | | | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1993_0, % 237.38/38.42 | | | | | all_1032_0) % 237.38/38.42 | | | | | % 237.38/38.42 | | | | | ALPHA: (2500) implies: % 237.38/38.42 | | | | | (2501) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1993_0 % 237.38/38.42 | | | | | % 237.38/38.42 | | | | | BETA: splitting (2464) gives: % 237.38/38.42 | | | | | % 237.38/38.42 | | | | | Case 1: % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | (2502) ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, % 237.38/38.42 | | | | | | all_1010_1) % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | PRED_UNIFY: (2407), (2502) imply: % 237.38/38.42 | | | | | | (2503) $false % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | CLOSE: (2503) is inconsistent. % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | Case 2: % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | (2504) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1984_0 & % 237.38/38.42 | | | | | | $i(all_1984_0) & % 237.38/38.42 | | | | | | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1984_0, % 237.38/38.42 | | | | | | all_1032_0) % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | ALPHA: (2504) implies: % 237.38/38.42 | | | | | | (2505) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1984_0 % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | GROUND_INST: instantiating (246) with all_1571_13, all_2019_4, % 237.38/38.42 | | | | | | all_692_0, v_f____, simplifying with (1809), (2474) % 237.38/38.42 | | | | | | gives: % 237.38/38.42 | | | | | | (2506) all_2019_4 = all_1571_13 % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | GROUND_INST: instantiating (246) with all_692_0, all_1742_0, % 237.38/38.42 | | | | | | v_n____, v_ga____, simplifying with (280), (2435) % 237.38/38.42 | | | | | | gives: % 237.38/38.42 | | | | | | (2507) all_1742_0 = all_692_0 % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | GROUND_INST: instantiating (239) with all_1680_0, all_1984_0, % 237.38/38.42 | | | | | | tc_Int_Oint, simplifying with (2426), (2505) gives: % 237.38/38.42 | | | | | | (2508) all_1984_0 = all_1680_0 % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | GROUND_INST: instantiating (239) with c_Int_OPls, all_1985_0, % 237.38/38.42 | | | | | | tc_Int_Oint, simplifying with (50), (2492) gives: % 237.38/38.42 | | | | | | (2509) all_1985_0 = c_Int_OPls % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | GROUND_INST: instantiating (239) with all_1984_0, all_1985_0, % 237.38/38.42 | | | | | | tc_Int_Oint, simplifying with (2492), (2505) gives: % 237.38/38.42 | | | | | | (2510) all_1985_0 = all_1984_0 % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | GROUND_INST: instantiating (239) with all_1674_0, all_1985_0, % 237.38/38.42 | | | | | | tc_Int_Oint, simplifying with (2424), (2492) gives: % 237.38/38.42 | | | | | | (2511) all_1985_0 = all_1674_0 % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | GROUND_INST: instantiating (239) with all_1985_0, all_1993_0, % 237.38/38.42 | | | | | | tc_Int_Oint, simplifying with (2492), (2501) gives: % 237.38/38.42 | | | | | | (2512) all_1993_0 = all_1985_0 % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | GROUND_INST: instantiating (239) with all_1993_0, all_2003_0, % 237.38/38.42 | | | | | | tc_Int_Oint, simplifying with (2497), (2501) gives: % 237.38/38.42 | | | | | | (2513) all_2003_0 = all_1993_0 % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | GROUND_INST: instantiating (239) with all_1979_0, all_2003_0, % 237.38/38.42 | | | | | | tc_Int_Oint, simplifying with (2487), (2497) gives: % 237.38/38.42 | | | | | | (2514) all_2003_0 = all_1979_0 % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | GROUND_INST: instantiating (240) with all_1571_12, all_2008_3, % 237.38/38.42 | | | | | | all_1571_13, simplifying with (858), (2472) gives: % 237.38/38.42 | | | | | | (2515) all_2008_3 = all_1571_12 % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | GROUND_INST: instantiating (251) with all_1571_10, all_1748_0, % 237.38/38.42 | | | | | | all_1247_2, all_1571_12, tc_Complex_Ocomplex, % 237.38/38.42 | | | | | | simplifying with (1806), (2440) gives: % 237.38/38.42 | | | | | | (2516) all_1748_0 = all_1571_10 % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | GROUND_INST: instantiating (251) with all_1744_0, all_1748_0, % 237.38/38.42 | | | | | | all_1247_2, all_1571_12, tc_Complex_Ocomplex, % 237.38/38.42 | | | | | | simplifying with (2437), (2440) gives: % 237.38/38.42 | | | | | | (2517) all_1748_0 = all_1744_0 % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | GROUND_INST: instantiating (241) with all_1571_3, v_y____, % 237.38/38.42 | | | | | | all_1247_2, simplifying with (1805), (2395) gives: % 237.38/38.42 | | | | | | (2518) all_1571_3 = v_y____ % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | GROUND_INST: instantiating (242) with all_1571_7, v_x____, % 237.38/38.42 | | | | | | all_1247_2, simplifying with (1804), (2394) gives: % 237.38/38.42 | | | | | | (2519) all_1571_7 = v_x____ % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | GROUND_INST: instantiating (242) with all_1714_0, all_1792_1, % 237.38/38.42 | | | | | | all_1571_10, simplifying with (2428), (2452) gives: % 237.38/38.42 | | | | | | (2520) all_1792_1 = all_1714_0 % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | GROUND_INST: instantiating (244) with all_1802_0, all_1851_1, % 237.38/38.42 | | | | | | all_670_0, simplifying with (2475), (2476) gives: % 237.38/38.42 | | | | | | (2521) all_1851_1 = all_1802_0 % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | GROUND_INST: instantiating (244) with all_1010_1, all_1851_1, % 237.38/38.42 | | | | | | all_670_0, simplifying with (2475), (2477) gives: % 237.38/38.42 | | | | | | (2522) all_1851_1 = all_1010_1 % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | COMBINE_EQS: (2513), (2514) imply: % 237.38/38.42 | | | | | | (2523) all_1993_0 = all_1979_0 % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | SIMP: (2523) implies: % 237.38/38.42 | | | | | | (2524) all_1993_0 = all_1979_0 % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | COMBINE_EQS: (2512), (2524) imply: % 237.38/38.42 | | | | | | (2525) all_1985_0 = all_1979_0 % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | SIMP: (2525) implies: % 237.38/38.42 | | | | | | (2526) all_1985_0 = all_1979_0 % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | COMBINE_EQS: (2511), (2526) imply: % 237.38/38.42 | | | | | | (2527) all_1979_0 = all_1674_0 % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | COMBINE_EQS: (2510), (2526) imply: % 237.38/38.42 | | | | | | (2528) all_1984_0 = all_1979_0 % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | SIMP: (2528) implies: % 237.38/38.42 | | | | | | (2529) all_1984_0 = all_1979_0 % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | COMBINE_EQS: (2509), (2526) imply: % 237.38/38.42 | | | | | | (2530) all_1979_0 = c_Int_OPls % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | COMBINE_EQS: (2508), (2529) imply: % 237.38/38.42 | | | | | | (2531) all_1979_0 = all_1680_0 % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | SIMP: (2531) implies: % 237.38/38.42 | | | | | | (2532) all_1979_0 = all_1680_0 % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | COMBINE_EQS: (2530), (2532) imply: % 237.38/38.42 | | | | | | (2533) all_1680_0 = c_Int_OPls % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | COMBINE_EQS: (2527), (2532) imply: % 237.38/38.42 | | | | | | (2534) all_1680_0 = all_1674_0 % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | COMBINE_EQS: (2521), (2522) imply: % 237.38/38.42 | | | | | | (2535) all_1802_0 = all_1010_1 % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | COMBINE_EQS: (2516), (2517) imply: % 237.38/38.42 | | | | | | (2536) all_1744_0 = all_1571_10 % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | SIMP: (2536) implies: % 237.38/38.42 | | | | | | (2537) all_1744_0 = all_1571_10 % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | COMBINE_EQS: (2533), (2534) imply: % 237.38/38.42 | | | | | | (2538) all_1674_0 = c_Int_OPls % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | REDUCE: (2457), (2522) imply: % 237.38/38.42 | | | | | | (2539) c_Int_Onumber__class_Onumber__of(tc_Int_Oint, all_1010_1) % 237.38/38.42 | | | | | | = all_1851_0 % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | REDUCE: (2438), (2537) imply: % 237.38/38.42 | | | | | | (2540) c_Complex_ORe(all_1571_10) = all_1571_6 % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | REDUCE: (2441), (2516) imply: % 237.38/38.42 | | | | | | (2541) c_Complex_OIm(all_1571_10) = all_1571_2 % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | REDUCE: (2451), (2520) imply: % 237.38/38.42 | | | | | | (2542) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1714_0) = % 237.38/38.42 | | | | | | all_1792_0 % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | REDUCE: (860), (2518) imply: % 237.38/38.42 | | | | | | (2543) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, % 237.38/38.42 | | | | | | all_1571_4, v_y____) = all_1571_2 % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | REDUCE: (859), (2519) imply: % 237.38/38.42 | | | | | | (2544) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, % 237.38/38.42 | | | | | | all_1571_8, v_x____) = all_1571_6 % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | REDUCE: (2434), (2507) imply: % 237.38/38.42 | | | | | | (2545) hAPP(v_f____, all_692_0) = all_1247_4 % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | REDUCE: (2423), (2538) imply: % 237.38/38.42 | | | | | | (2546) ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_670_0, % 237.38/38.42 | | | | | | c_Int_OPls) % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | BETA: splitting (2460) gives: % 237.38/38.42 | | | | | | % 237.38/38.42 | | | | | | Case 1: % 237.38/38.42 | | | | | | | % 237.38/38.42 | | | | | | | (2547) c_Orderings_Oord__class_Oless(tc_Int_Oint, all_684_0, % 237.38/38.42 | | | | | | | c_Int_OPls) % 237.38/38.42 | | | | | | | % 237.38/38.42 | | | | | | | REDUCE: (2411), (2547) imply: % 237.38/38.42 | | | | | | | (2548) c_Orderings_Oord__class_Oless(tc_Int_Oint, all_670_0, % 237.38/38.42 | | | | | | | c_Int_OPls) % 237.38/38.42 | | | | | | | % 237.38/38.42 | | | | | | | PRED_UNIFY: (2546), (2548) imply: % 237.38/38.42 | | | | | | | (2549) $false % 237.38/38.42 | | | | | | | % 237.38/38.42 | | | | | | | CLOSE: (2549) is inconsistent. % 237.38/38.42 | | | | | | | % 237.38/38.42 | | | | | | Case 2: % 237.38/38.42 | | | | | | | % 237.38/38.42 | | | | | | | % 237.38/38.42 | | | | | | | GROUND_INST: instantiating (246) with all_1571_13, all_1247_4, % 237.38/38.42 | | | | | | | all_692_0, v_f____, simplifying with (1809), (2545) % 237.38/38.42 | | | | | | | gives: % 237.38/38.42 | | | | | | | (2550) all_1571_13 = all_1247_4 % 237.38/38.42 | | | | | | | % 237.38/38.42 | | | | | | | GROUND_INST: instantiating (251) with all_1573_10, all_1571_6, % 237.38/38.42 | | | | | | | v_x____, all_1571_8, tc_RealDef_Oreal, simplifying % 237.38/38.42 | | | | | | | with (2385), (2544) gives: % 237.38/38.42 | | | | | | | (2551) all_1573_10 = all_1571_6 % 237.38/38.42 | | | | | | | % 237.38/38.42 | | | | | | | GROUND_INST: instantiating (251) with all_1573_7, all_1571_2, % 237.38/38.42 | | | | | | | v_y____, all_1571_4, tc_RealDef_Oreal, simplifying % 237.38/38.42 | | | | | | | with (2384), (2543) gives: % 237.38/38.42 | | | | | | | (2552) all_1573_7 = all_1571_2 % 237.38/38.42 | | | | | | | % 237.38/38.42 | | | | | | | GROUND_INST: instantiating (241) with all_1774_1, all_1571_2, % 237.38/38.42 | | | | | | | all_1571_10, simplifying with (2449), (2541) gives: % 237.38/38.42 | | | | | | | (2553) all_1774_1 = all_1571_2 % 237.38/38.42 | | | | | | | % 237.38/38.42 | | | | | | | GROUND_INST: instantiating (242) with all_1714_0, all_1571_6, % 237.38/38.42 | | | | | | | all_1571_10, simplifying with (2428), (2540) gives: % 237.38/38.42 | | | | | | | (2554) all_1714_0 = all_1571_6 % 237.38/38.42 | | | | | | | % 237.38/38.42 | | | | | | | GROUND_INST: instantiating (250) with all_1010_1, all_1851_0, % 237.38/38.42 | | | | | | | all_1010_1, tc_Int_Oint, simplifying with (2478), % 237.38/38.42 | | | | | | | (2539) gives: % 237.38/38.42 | | | | | | | (2555) all_1851_0 = all_1010_1 % 237.38/38.42 | | | | | | | % 237.38/38.42 | | | | | | | REDUCE: (2448), (2553) imply: % 237.38/38.42 | | | | | | | (2556) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1571_2) % 237.38/38.42 | | | | | | | = all_1774_0 % 237.38/38.42 | | | | | | | % 237.38/38.42 | | | | | | | REDUCE: (2542), (2554) imply: % 237.38/38.42 | | | | | | | (2557) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1571_6) % 237.38/38.42 | | | | | | | = all_1792_0 % 237.38/38.42 | | | | | | | % 237.38/38.42 | | | | | | | REDUCE: (883), (2552) imply: % 237.38/38.42 | | | | | | | (2558) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1571_2) % 237.38/38.42 | | | | | | | = all_1573_6 % 237.38/38.42 | | | | | | | % 237.38/38.42 | | | | | | | REDUCE: (882), (2551) imply: % 237.38/38.42 | | | | | | | (2559) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1571_6) % 237.38/38.42 | | | | | | | = all_1573_9 % 237.38/38.42 | | | | | | | % 237.38/38.42 | | | | | | | REDUCE: (858), (2550) imply: % 237.38/38.42 | | | | | | | (2560) v_s(all_1247_4) = all_1571_12 % 237.38/38.42 | | | | | | | % 237.38/38.42 | | | | | | | REDUCE: (2456), (2555) imply: % 237.38/38.42 | | | | | | | (2561) ~ c_Nat__Numeral_Oneg(all_1010_1) % 237.38/38.42 | | | | | | | % 237.38/38.42 | | | | | | | BETA: splitting (2416) gives: % 237.38/38.42 | | | | | | | % 237.38/38.42 | | | | | | | Case 1: % 237.38/38.42 | | | | | | | | % 237.38/38.42 | | | | | | | | (2562) c_Nat__Numeral_Oneg(all_1032_0) % 237.38/38.42 | | | | | | | | % 237.38/38.42 | | | | | | | | REDUCE: (2415), (2562) imply: % 237.38/38.42 | | | | | | | | (2563) c_Nat__Numeral_Oneg(all_1010_1) % 237.38/38.42 | | | | | | | | % 237.38/38.42 | | | | | | | | PRED_UNIFY: (2561), (2563) imply: % 237.38/38.42 | | | | | | | | (2564) $false % 237.38/38.42 | | | | | | | | % 237.38/38.42 | | | | | | | | CLOSE: (2564) is inconsistent. % 237.38/38.42 | | | | | | | | % 237.38/38.43 | | | | | | | Case 2: % 237.38/38.43 | | | | | | | | % 237.38/38.43 | | | | | | | | % 237.38/38.43 | | | | | | | | GROUND_INST: instantiating (240) with all_1247_3, all_1571_12, % 237.38/38.43 | | | | | | | | all_1247_4, simplifying with (583), (2560) gives: % 237.38/38.43 | | | | | | | | (2565) all_1571_12 = all_1247_3 % 237.38/38.43 | | | | | | | | % 237.38/38.43 | | | | | | | | GROUND_INST: instantiating (249) with all_1571_5, all_1792_0, % 237.38/38.43 | | | | | | | | all_1571_6, tc_RealDef_Oreal, simplifying with % 237.38/38.43 | | | | | | | | (864), (2557) gives: % 237.38/38.43 | | | | | | | | (2566) all_1792_0 = all_1571_5 % 237.38/38.43 | | | | | | | | % 237.38/38.43 | | | | | | | | GROUND_INST: instantiating (249) with all_1573_9, all_1792_0, % 237.38/38.43 | | | | | | | | all_1571_6, tc_RealDef_Oreal, simplifying with % 237.38/38.43 | | | | | | | | (2557), (2559) gives: % 237.38/38.43 | | | | | | | | (2567) all_1792_0 = all_1573_9 % 237.38/38.43 | | | | | | | | % 237.38/38.43 | | | | | | | | GROUND_INST: instantiating (249) with all_1571_1, all_1774_0, % 237.38/38.43 | | | | | | | | all_1571_2, tc_RealDef_Oreal, simplifying with % 237.38/38.43 | | | | | | | | (865), (2556) gives: % 237.38/38.43 | | | | | | | | (2568) all_1774_0 = all_1571_1 % 237.38/38.43 | | | | | | | | % 237.38/38.43 | | | | | | | | GROUND_INST: instantiating (249) with all_1573_6, all_1774_0, % 237.38/38.43 | | | | | | | | all_1571_2, tc_RealDef_Oreal, simplifying with % 237.38/38.43 | | | | | | | | (2556), (2558) gives: % 237.38/38.43 | | | | | | | | (2569) all_1774_0 = all_1573_6 % 237.38/38.43 | | | | | | | | % 237.38/38.43 | | | | | | | | COMBINE_EQS: (2566), (2567) imply: % 237.38/38.43 | | | | | | | | (2570) all_1573_9 = all_1571_5 % 237.38/38.43 | | | | | | | | % 237.38/38.43 | | | | | | | | COMBINE_EQS: (2568), (2569) imply: % 237.38/38.43 | | | | | | | | (2571) all_1573_6 = all_1571_1 % 237.38/38.43 | | | | | | | | % 237.38/38.43 | | | | | | | | SIMP: (2571) implies: % 237.38/38.43 | | | | | | | | (2572) all_1573_6 = all_1571_1 % 237.38/38.43 | | | | | | | | % 237.38/38.43 | | | | | | | | REDUCE: (2400), (2570), (2572) imply: % 237.38/38.43 | | | | | | | | (2573) c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, % 237.38/38.43 | | | | | | | | all_1571_1, all_1571_5) = all_1573_5 % 237.38/38.43 | | | | | | | | % 237.38/38.43 | | | | | | | | REDUCE: (2432), (2565) imply: % 237.38/38.43 | | | | | | | | (2574) c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, % 237.38/38.43 | | | | | | | | all_1247_2, all_1247_3) = all_1740_0 % 237.38/38.43 | | | | | | | | % 237.38/38.43 | | | | | | | | GROUND_INST: instantiating (251) with all_1758_0, all_1740_0, % 237.38/38.43 | | | | | | | | all_1247_3, all_1247_2, tc_Complex_Ocomplex, % 237.38/38.43 | | | | | | | | simplifying with (2444), (2574) gives: % 237.38/38.43 | | | | | | | | (2575) all_1758_0 = all_1740_0 % 237.38/38.43 | | | | | | | | % 237.38/38.43 | | | | | | | | GROUND_INST: instantiating (252) with all_1571_0, all_1573_5, % 237.38/38.43 | | | | | | | | all_1571_5, all_1571_1, tc_RealDef_Oreal, % 237.38/38.43 | | | | | | | | simplifying with (2397), (2573) gives: % 237.38/38.43 | | | | | | | | (2576) all_1573_5 = all_1571_0 % 237.38/38.43 | | | | | | | | % 237.38/38.43 | | | | | | | | REDUCE: (2443), (2575) imply: % 237.38/38.43 | | | | | | | | (2577) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, % 237.38/38.43 | | | | | | | | all_1740_0) = all_1247_0 % 237.38/38.43 | | | | | | | | % 237.38/38.43 | | | | | | | | REDUCE: (2399), (2576) imply: % 237.38/38.43 | | | | | | | | (2578) $i(all_1571_0) % 237.38/38.43 | | | | | | | | % 237.38/38.43 | | | | | | | | REDUCE: (2483), (2576) imply: % 237.38/38.43 | | | | | | | | (2579) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, % 237.38/38.43 | | | | | | | | all_1571_0, v_e____) % 237.38/38.43 | | | | | | | | % 237.38/38.43 | | | | | | | | GROUND_INST: instantiating (247) with all_1571_9, all_1247_0, % 237.38/38.43 | | | | | | | | all_1740_0, tc_Complex_Ocomplex, simplifying with % 237.38/38.43 | | | | | | | | (2431), (2577) gives: % 237.38/38.43 | | | | | | | | (2580) all_1571_9 = all_1247_0 % 237.38/38.43 | | | | | | | | % 237.38/38.43 | | | | | | | | REDUCE: (2430), (2580) imply: % 237.38/38.43 | | | | | | | | (2581) $i(all_1247_0) % 237.38/38.43 | | | | | | | | % 237.38/38.43 | | | | | | | | REDUCE: (849), (2580) imply: % 237.38/38.43 | | | | | | | | (2582) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, % 237.38/38.43 | | | | | | | | all_1247_0, all_1571_0) % 237.38/38.43 | | | | | | | | % 237.38/38.43 | | | | | | | | GROUND_INST: instantiating (fact_order__le__less__trans) with % 237.38/38.43 | | | | | | | | v_e____, all_1571_0, all_1247_0, tc_RealDef_Oreal, % 237.38/38.43 | | | | | | | | simplifying with (227), (231), (232), (578), % 237.38/38.43 | | | | | | | | (2578), (2579), (2581), (2582) gives: % 237.38/38.43 | | | | | | | | (2583) $false % 237.38/38.43 | | | | | | | | % 237.38/38.43 | | | | | | | | CLOSE: (2583) is inconsistent. % 237.38/38.43 | | | | | | | | % 237.38/38.43 | | | | | | | End of split % 237.38/38.43 | | | | | | | % 237.38/38.43 | | | | | | End of split % 237.38/38.43 | | | | | | % 237.38/38.43 | | | | | End of split % 237.38/38.43 | | | | | % 237.38/38.43 | | | | End of split % 237.38/38.43 | | | | % 237.38/38.43 | | | End of split % 237.38/38.43 | | | % 237.38/38.43 | | End of split % 237.38/38.43 | | % 237.38/38.43 | End of split % 237.38/38.43 | % 237.38/38.43 End of proof % 237.38/38.43 % SZS output end Proof for theBenchmark % 237.38/38.43 % 237.38/38.43 37833ms %------------------------------------------------------------------------------