TSTP Solution File: SWW194+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWW194+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 : n017.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 00:49:23 EDT 2023
% Result : Theorem 90.38s 12.48s
% Output : Proof 292.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SWW194+1 : TPTP v8.1.2. Released v5.2.0.
% 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.15/0.35 % Computer : n017.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun Aug 27 17:01:57 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.21/0.62 ________ _____
% 0.21/0.62 ___ __ \_________(_)________________________________
% 0.21/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.21/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.21/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.21/0.62
% 0.21/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.21/0.62 (2023-06-19)
% 0.21/0.62
% 0.21/0.62 (c) Philipp Rümmer, 2009-2023
% 0.21/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.21/0.62 Amanda Stjerna.
% 0.21/0.62 Free software under BSD-3-Clause.
% 0.21/0.62
% 0.21/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.21/0.62
% 0.21/0.63 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.21/0.64 Running up to 7 provers in parallel.
% 0.21/0.65 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.65 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.65 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.65 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.21/0.65 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.65 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.21/0.65 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 19.84/3.37 Prover 3: Preprocessing ...
% 19.84/3.38 Prover 0: Preprocessing ...
% 19.84/3.38 Prover 2: Preprocessing ...
% 19.84/3.38 Prover 5: Preprocessing ...
% 19.84/3.43 Prover 6: Preprocessing ...
% 21.09/3.53 Prover 1: Preprocessing ...
% 21.09/3.53 Prover 4: Preprocessing ...
% 52.74/7.80 Prover 3: Warning: ignoring some quantifiers
% 54.64/7.94 Prover 3: Constructing countermodel ...
% 56.95/8.20 Prover 1: Warning: ignoring some quantifiers
% 57.98/8.40 Prover 1: Constructing countermodel ...
% 58.17/8.41 Prover 6: Proving ...
% 65.79/9.34 Prover 4: Warning: ignoring some quantifiers
% 66.87/9.52 Prover 4: Constructing countermodel ...
% 72.47/10.22 Prover 0: Proving ...
% 74.85/10.49 Prover 5: Proving ...
% 75.03/10.53 Prover 2: Proving ...
% 88.75/12.28 Prover 2: stopped
% 88.92/12.30 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 90.38/12.48 Prover 3: proved (11832ms)
% 90.38/12.48
% 90.38/12.48 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 90.38/12.48
% 90.38/12.48 Prover 5: stopped
% 90.38/12.48 Prover 6: stopped
% 90.38/12.49 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 90.38/12.49 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 90.38/12.49 Prover 0: stopped
% 90.38/12.50 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 90.38/12.50 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 96.60/13.36 Prover 7: Preprocessing ...
% 97.64/13.49 Prover 11: Preprocessing ...
% 98.22/13.58 Prover 8: Preprocessing ...
% 99.89/13.73 Prover 10: Preprocessing ...
% 99.89/13.73 Prover 13: Preprocessing ...
% 109.95/15.05 Prover 8: Warning: ignoring some quantifiers
% 109.95/15.07 Prover 7: Warning: ignoring some quantifiers
% 110.93/15.14 Prover 10: Warning: ignoring some quantifiers
% 110.93/15.20 Prover 8: Constructing countermodel ...
% 111.70/15.25 Prover 7: Constructing countermodel ...
% 112.33/15.36 Prover 10: Constructing countermodel ...
% 117.13/16.00 Prover 1: stopped
% 117.22/16.01 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 117.22/16.05 Prover 11: Warning: ignoring some quantifiers
% 118.42/16.11 Prover 13: Warning: ignoring some quantifiers
% 120.13/16.33 Prover 11: Constructing countermodel ...
% 120.71/16.39 Prover 13: Constructing countermodel ...
% 126.19/17.15 Prover 16: Preprocessing ...
% 138.58/18.72 Prover 16: Warning: ignoring some quantifiers
% 139.42/18.87 Prover 16: Constructing countermodel ...
% 154.22/20.81 Prover 16: stopped
% 154.22/20.83 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 158.46/21.40 Prover 19: Preprocessing ...
% 159.62/21.63 Prover 13: stopped
% 168.74/22.72 Prover 19: Warning: ignoring some quantifiers
% 169.36/22.85 Prover 19: Constructing countermodel ...
% 184.64/24.88 Prover 19: stopped
% 205.72/27.98 Prover 4: stopped
% 225.25/32.13 Prover 7: stopped
% 267.39/41.55 Prover 11: stopped
% 273.28/43.98 Prover 8: stopped
% 275.60/45.64 Prover 10: Found proof (size 4126)
% 275.60/45.64 Prover 10: proved (33149ms)
% 275.60/45.64
% 275.60/45.65 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 275.60/45.65
% 288.33/56.79 % SZS output start Proof for theBenchmark
% 288.38/56.82 Assumptions after simplification:
% 288.38/56.82 ---------------------------------
% 288.38/56.82
% 288.38/56.82 (arity_Complex__Ocomplex__Groups_Oone)
% 288.38/56.82 $i(tc_Complex_Ocomplex) & class_Groups_Oone(tc_Complex_Ocomplex)
% 288.38/56.82
% 288.38/56.82 (arity_Complex__Ocomplex__RealVector_Oreal__normed__vector)
% 288.38/56.82 $i(tc_Complex_Ocomplex) &
% 288.38/56.82 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)
% 288.38/56.82
% 288.38/56.82 (arity_Int__Oint__Groups_Oone)
% 288.38/56.82 $i(tc_Int_Oint) & class_Groups_Oone(tc_Int_Oint)
% 288.38/56.82
% 288.38/56.82 (arity_Int__Oint__Orderings_Opreorder)
% 288.38/56.82 $i(tc_Int_Oint) & class_Orderings_Opreorder(tc_Int_Oint)
% 288.38/56.82
% 288.38/56.82 (arity_RealDef__Oreal__Fields_Olinordered__field)
% 288.38/56.82 $i(tc_RealDef_Oreal) & class_Fields_Olinordered__field(tc_RealDef_Oreal)
% 288.38/56.82
% 288.38/56.82 (arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero)
% 288.38/56.82 $i(tc_RealDef_Oreal) &
% 288.38/56.82 class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal)
% 288.38/56.82
% 288.38/56.82 (arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs)
% 288.38/56.82 $i(tc_RealDef_Oreal) &
% 288.38/56.82 class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal)
% 288.38/56.82
% 288.38/56.82 (arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add)
% 288.38/56.82 $i(tc_RealDef_Oreal) &
% 288.38/56.82 class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal)
% 288.38/56.82
% 288.38/56.82 (arity_RealDef__Oreal__Int_Onumber__ring)
% 288.38/56.82 $i(tc_RealDef_Oreal) & class_Int_Onumber__ring(tc_RealDef_Oreal)
% 288.38/56.82
% 288.38/56.82 (arity_RealDef__Oreal__Power_Opower)
% 288.38/56.82 $i(tc_RealDef_Oreal) & class_Power_Opower(tc_RealDef_Oreal)
% 288.38/56.82
% 288.38/56.82 (arity_RealDef__Oreal__Rings_Olinordered__idom)
% 288.38/56.82 $i(tc_RealDef_Oreal) & class_Rings_Olinordered__idom(tc_RealDef_Oreal)
% 288.38/56.82
% 288.38/56.82 (arity_RealDef__Oreal__Rings_Olinordered__ring__strict)
% 288.38/56.82 $i(tc_RealDef_Oreal) & class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal)
% 288.38/56.82
% 288.38/56.82 (arity_RealDef__Oreal__Rings_Olinordered__semidom)
% 288.38/56.82 $i(tc_RealDef_Oreal) & class_Rings_Olinordered__semidom(tc_RealDef_Oreal)
% 288.38/56.82
% 288.38/56.82 (arity_RealDef__Oreal__Rings_Olinordered__semiring__strict)
% 288.38/56.82 $i(tc_RealDef_Oreal) &
% 288.38/56.82 class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal)
% 288.38/56.82
% 288.38/56.82 (arity_RealDef__Oreal__Rings_Omult__zero)
% 288.38/56.82 $i(tc_RealDef_Oreal) & class_Rings_Omult__zero(tc_RealDef_Oreal)
% 288.38/56.82
% 288.38/56.82 (arity_RealDef__Oreal__Rings_Ono__zero__divisors)
% 288.38/56.82 $i(tc_RealDef_Oreal) & class_Rings_Ono__zero__divisors(tc_RealDef_Oreal)
% 288.38/56.82
% 288.38/56.82 (arity_RealDef__Oreal__Rings_Oordered__cancel__semiring)
% 288.38/56.82 $i(tc_RealDef_Oreal) &
% 288.38/56.82 class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal)
% 288.38/56.82
% 288.38/56.82 (arity_RealDef__Oreal__Rings_Oordered__ring)
% 288.38/56.82 $i(tc_RealDef_Oreal) & class_Rings_Oordered__ring(tc_RealDef_Oreal)
% 288.38/56.82
% 288.38/56.82 (arity_RealDef__Oreal__Rings_Oring__1__no__zero__divisors)
% 288.38/56.83 $i(tc_RealDef_Oreal) &
% 288.38/56.83 class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal)
% 288.38/56.83
% 288.38/56.83 (arity_RealDef__Oreal__Rings_Oring__no__zero__divisors)
% 288.38/56.83 $i(tc_RealDef_Oreal) & class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal)
% 288.38/56.83
% 288.38/56.83 (arity_RealDef__Oreal__Rings_Ozero__neq__one)
% 288.38/56.83 $i(tc_RealDef_Oreal) & class_Rings_Ozero__neq__one(tc_RealDef_Oreal)
% 288.38/56.83
% 288.38/56.83 (conj_0)
% 288.59/56.85 $i(tc_Nat_Onat) & $i(v_x____) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ?
% 288.59/56.85 [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i]
% 288.59/56.85 : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ?
% 288.59/56.85 [v11: $i] : ? [v12: $i] : ? [v13: $i] :
% 288.59/56.85 (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 &
% 288.59/56.85 c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 288.59/56.85 c_Int_OBit1(c_Int_OPls) = v2 & c_Int_OBit0(v2) = v3 &
% 288.59/56.85 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v3) = v9 &
% 288.59/56.85 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v3) = v4 &
% 288.59/56.85 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v6) = v7 &
% 288.59/56.85 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v11 & hAPP(v12, v9) = v13 &
% 288.59/56.85 hAPP(v8, v9) = v10 & hAPP(v5, v_x____) = v6 & hAPP(v1, v4) = v5 & hAPP(v0,
% 288.59/56.85 v11) = v12 & hAPP(v0, v7) = v8 & $i(v13) & $i(v12) & $i(v11) & $i(v10) &
% 288.59/56.85 $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 288.59/56.85 $i(v1) & $i(v0) & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 288.59/56.85 v10, v13))
% 288.59/56.85
% 288.59/56.85 (fact_C_I1_J)
% 288.59/56.85 $i(v_z) & $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ?
% 288.59/56.85 [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 288.59/56.85 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3 &
% 288.59/56.85 c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_z, v1) = v2 &
% 288.59/56.85 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v1 &
% 288.59/56.85 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v3) & $i(v2) & $i(v1)
% 288.59/56.85 & $i(v0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3))
% 288.59/56.85
% 288.59/56.85 (fact_C_I2_J)
% 288.59/56.86 $i(v_z) & $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ?
% 288.59/56.86 [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 288.59/56.86 (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v_z, v1) = v2 &
% 288.59/56.86 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3 &
% 288.59/56.86 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v1 &
% 288.59/56.86 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v3) & $i(v2) & $i(v1)
% 288.59/56.86 & $i(v0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3))
% 288.59/56.86
% 288.59/56.86 (fact_C_I3_J)
% 288.59/56.86 $i(c_Complex_Oii) & $i(v_z) & $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) &
% 288.59/56.86 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 288.59/56.86 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v2 &
% 288.59/56.86 c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_z, c_Complex_Oii) = v1 &
% 288.59/56.86 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v2) & $i(v1) & $i(v0)
% 288.59/56.86 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2))
% 288.59/56.86
% 288.59/56.86 (fact_C_I4_J)
% 288.59/56.86 $i(c_Complex_Oii) & $i(v_z) & $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) &
% 288.59/56.86 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 288.59/56.86 (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v_z, c_Complex_Oii) = v1 &
% 288.59/56.86 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v2 &
% 288.59/56.86 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v2) & $i(v1) & $i(v0)
% 288.59/56.86 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2))
% 288.59/56.86
% 288.59/56.86 (fact_Complex__eq__0)
% 288.59/56.86 $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 288.59/56.86 (c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0 &
% 288.59/56.86 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0) & !
% 288.59/56.86 [v2: $i] : ! [v3: $i] : (v3 = v1 | ~ (c_Complex_Ocomplex_OComplex(v3, v2)
% 288.59/56.86 = v0) | ~ $i(v3) | ~ $i(v2)) & ! [v2: $i] : ! [v3: $i] : (v2 = v1 |
% 288.59/56.86 ~ (c_Complex_Ocomplex_OComplex(v3, v2) = v0) | ~ $i(v3) | ~ $i(v2)) & !
% 288.59/56.86 [v2: $i] : (v2 = v0 | ~ (c_Complex_Ocomplex_OComplex(v1, v1) = v2)))
% 288.59/56.86
% 288.59/56.86 (fact_Complex__eq__1)
% 288.59/56.86 $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 288.59/56.86 ? [v2: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v2 &
% 288.59/56.86 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 &
% 288.59/56.87 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & $i(v2) & $i(v1) & $i(v0)
% 288.59/56.87 & ! [v3: $i] : ! [v4: $i] : (v4 = v1 | ~ (c_Complex_Ocomplex_OComplex(v4,
% 288.59/56.87 v3) = v0) | ~ $i(v4) | ~ $i(v3)) & ! [v3: $i] : ! [v4: $i] : (v3 =
% 288.59/56.87 v2 | ~ (c_Complex_Ocomplex_OComplex(v4, v3) = v0) | ~ $i(v4) | ~
% 288.59/56.87 $i(v3)) & ! [v3: $i] : (v3 = v0 | ~ (c_Complex_Ocomplex_OComplex(v1, v2)
% 288.59/56.87 = v3)))
% 288.59/56.87
% 288.59/56.87 (fact_Complex__eq__i)
% 288.59/56.87 $i(c_Complex_Oii) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 288.59/56.87 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 288.59/56.87 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0) & ! [v2:
% 288.59/56.87 $i] : ! [v3: $i] : (v3 = v0 | ~ (c_Complex_Ocomplex_OComplex(v3, v2) =
% 288.59/56.87 c_Complex_Oii) | ~ $i(v3) | ~ $i(v2)) & ! [v2: $i] : ! [v3: $i] :
% 288.59/56.87 (v2 = v1 | ~ (c_Complex_Ocomplex_OComplex(v3, v2) = c_Complex_Oii) | ~
% 288.59/56.87 $i(v3) | ~ $i(v2)) & ! [v2: $i] : (v2 = c_Complex_Oii | ~
% 288.59/56.87 (c_Complex_Ocomplex_OComplex(v0, v1) = v2)))
% 288.59/56.87
% 288.59/56.87 (fact_Complex__eq__number__of)
% 288.59/56.87 $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 288.59/56.87 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 288.59/56.87 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v3 | ~
% 288.59/56.87 (c_Complex_Ocomplex_OComplex(v2, v0) = v3) | ~
% 288.59/56.87 (c_Int_Onumber__class_Onumber__of(tc_Complex_Ocomplex, v1) = v4) | ~
% 288.59/56.87 $i(v2) | ~ $i(v1) | ? [v5: $i] : ( ~ (v5 = v2) &
% 288.59/56.87 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v5 & $i(v5))) &
% 288.59/56.87 ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v2 = v0 | ~
% 288.59/56.87 (c_Complex_Ocomplex_OComplex(v3, v2) = v4) | ~
% 288.59/56.87 (c_Int_Onumber__class_Onumber__of(tc_Complex_Ocomplex, v1) = v4) | ~
% 288.59/56.87 $i(v3) | ~ $i(v2) | ~ $i(v1)) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i]
% 288.59/56.87 : ! [v4: $i] : ( ~ (c_Complex_Ocomplex_OComplex(v3, v2) = v4) | ~
% 288.59/56.87 (c_Int_Onumber__class_Onumber__of(tc_Complex_Ocomplex, v1) = v4) | ~
% 288.59/56.87 $i(v3) | ~ $i(v2) | ~ $i(v1) |
% 288.59/56.87 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v3))
% 288.59/56.87
% 288.59/56.87 (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J)
% 288.59/56.87 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 288.59/56.87 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 288.59/56.87 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v3) | ~ $i(v2) | ~
% 288.59/56.87 $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) | ~
% 288.59/56.87 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) |
% 288.59/56.87 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3)))
% 288.59/56.87
% 288.59/56.87 (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J)
% 288.59/56.87 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] :
% 288.59/56.87 (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 &
% 288.59/56.87 c_Groups_Otimes__class_Otimes(tc_Int_Oint) = v1 & $i(v1) & $i(v0) & ! [v2:
% 288.59/56.87 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v4, v2) = v5) |
% 288.59/56.87 ~ (hAPP(v1, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~
% 288.59/56.87 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3) | ~
% 288.59/56.87 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) |
% 288.59/56.87 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v5)))
% 288.59/56.87
% 288.59/56.87 (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J)
% 288.59/56.88 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] :
% 288.59/56.88 (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 &
% 288.59/56.88 c_Power_Opower__class_Opower(tc_Int_Oint) = v1 & $i(v1) & $i(v0) & ! [v2:
% 288.59/56.88 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v4, v2) = v5) |
% 288.59/56.88 ~ (hAPP(v1, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~
% 288.59/56.88 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3) |
% 288.59/56.88 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v5)))
% 288.59/56.88
% 288.59/56.88 (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J)
% 288.59/56.88 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 288.59/56.88 & $i(v0) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v0))
% 288.59/56.88
% 288.59/56.88 (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J)
% 288.59/56.88 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] :
% 288.59/56.88 (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 &
% 288.59/56.88 c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 & $i(v1) & $i(v0) &
% 288.59/56.88 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1))
% 288.59/56.88
% 288.59/56.88 (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J)
% 288.59/56.88 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 288.59/56.88 ? [v3: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 &
% 288.59/56.88 c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 288.59/56.88 c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3 & $i(v3) & $i(v2) &
% 288.59/56.88 $i(v1) & $i(v0) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3))
% 288.59/56.88
% 288.59/56.88 (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J)
% 288.59/56.88 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 288.59/56.88 ? [v3: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & c_Int_OBit1(v1)
% 288.59/56.88 = v2 & c_Int_OBit1(c_Int_OPls) = v1 &
% 288.59/56.88 c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3 & $i(v3) & $i(v2) &
% 288.59/56.88 $i(v1) & $i(v0) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3))
% 288.59/56.88
% 288.59/56.88 (fact_Numeral1__eq1__nat)
% 288.59/56.88 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] :
% 288.59/56.88 (c_Int_OBit1(c_Int_OPls) = v1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 288.59/56.88 v1) = v0 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v1) & $i(v0))
% 288.59/56.88
% 288.59/56.88 (fact_One__nat__def)
% 288.59/56.88 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 288.59/56.88 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 & c_Nat_OSuc(v1) = v0 &
% 288.59/56.88 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v1) & $i(v0))
% 288.59/56.88
% 288.59/56.88 (fact_Pls__def)
% 288.59/56.88 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Int_OPls & $i(tc_Int_Oint) &
% 288.59/56.88 $i(c_Int_OPls)
% 288.59/56.88
% 288.59/56.88 (fact_Suc3__eq__add__3)
% 288.59/56.89 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 288.59/56.89 (c_Int_OBit1(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 288.59/56.89 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 288.59/56.89 $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~
% 288.59/56.89 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v3) = v4) | ~ $i(v3) | ?
% 288.59/56.89 [v5: $i] : ? [v6: $i] : (c_Nat_OSuc(v6) = v4 & c_Nat_OSuc(v5) = v6 &
% 288.59/56.89 c_Nat_OSuc(v3) = v5 & $i(v6) & $i(v5) & $i(v4))))
% 288.59/56.89
% 288.59/56.89 (fact_Suc__eq__plus1)
% 288.59/56.89 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 &
% 288.59/56.89 $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~
% 288.59/56.89 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ~ $i(v1) |
% 288.59/56.89 (c_Nat_OSuc(v1) = v2 & $i(v2))))
% 288.59/56.89
% 288.59/56.89 (fact_Suc__eq__plus1__left)
% 288.59/56.89 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 &
% 288.59/56.89 $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~
% 288.59/56.89 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v2) | ~ $i(v1) |
% 288.59/56.89 (c_Nat_OSuc(v1) = v2 & $i(v2))))
% 288.59/56.89
% 288.59/56.89 (fact_Suc__neq__Zero)
% 288.59/56.89 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 288.59/56.89 & $i(v0) & ! [v1: $i] : ( ~ (c_Nat_OSuc(v1) = v0) | ~ $i(v1)))
% 288.59/56.89
% 288.59/56.89 (fact_Suc__not__Zero)
% 288.59/56.89 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 288.59/56.89 & $i(v0) & ! [v1: $i] : ( ~ (c_Nat_OSuc(v1) = v0) | ~ $i(v1)))
% 288.59/56.89
% 288.59/56.89 (fact_Zero__neq__Suc)
% 288.59/56.89 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 288.59/56.89 & $i(v0) & ! [v1: $i] : ( ~ (c_Nat_OSuc(v1) = v0) | ~ $i(v1)))
% 288.59/56.89
% 288.59/56.89 (fact_Zero__not__Suc)
% 288.59/56.89 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 288.59/56.89 & $i(v0) & ! [v1: $i] : ( ~ (c_Nat_OSuc(v1) = v0) | ~ $i(v1)))
% 288.59/56.89
% 288.59/56.89 (fact__0962_A_K_Ax_A_060_061_A1_096)
% 288.59/56.89 $i(v_x____) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1:
% 288.59/56.89 $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 288.59/56.89 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 288.59/56.89 c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 288.59/56.89 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 288.59/56.89 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v6 & hAPP(v4, v_x____) = v5 &
% 288.59/56.89 hAPP(v0, v3) = v4 & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 288.59/56.89 $i(v0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v6))
% 288.59/56.89
% 288.59/56.89 (fact__0962_A_K_Ay_A_060_061_A1_096)
% 288.59/56.90 $i(v_y____) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1:
% 288.59/56.90 $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 288.59/56.90 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 288.59/56.90 c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 288.59/56.90 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 288.59/56.90 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v6 & hAPP(v4, v_y____) = v5 &
% 288.59/56.90 hAPP(v0, v3) = v4 & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 288.59/56.90 $i(v0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v6))
% 288.59/56.90
% 288.59/56.90 (fact__096_N1_A_060_061_A2_A_K_Ax_096)
% 288.59/56.90 $i(c_Int_OMin) & $i(v_x____) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0:
% 288.59/56.90 $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 288.59/56.90 ? [v6: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 288.59/56.90 c_Int_OBit1(c_Int_OPls) = v2 & c_Int_OBit0(v2) = v3 &
% 288.59/56.90 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v3) = v4 &
% 288.59/56.90 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OMin) = v0 &
% 288.59/56.90 hAPP(v5, v_x____) = v6 & hAPP(v1, v4) = v5 & $i(v6) & $i(v5) & $i(v4) &
% 288.59/56.90 $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 288.59/56.90 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v6))
% 288.59/56.90
% 288.59/56.90 (fact__096_N1_A_060_061_A2_A_K_Ay_096)
% 288.59/56.90 $i(c_Int_OMin) & $i(v_y____) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0:
% 288.59/56.90 $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 288.59/56.90 ? [v6: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 288.59/56.90 c_Int_OBit1(c_Int_OPls) = v2 & c_Int_OBit0(v2) = v3 &
% 288.59/56.90 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v3) = v4 &
% 288.59/56.90 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OMin) = v0 &
% 288.59/56.90 hAPP(v5, v_y____) = v6 & hAPP(v1, v4) = v5 & $i(v6) & $i(v5) & $i(v4) &
% 288.59/56.90 $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 288.59/56.90 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v6))
% 288.59/56.90
% 288.59/56.90 (fact__096abs_A_I2_A_K_Ax_J_A_060_061_A1_096)
% 288.85/56.90 $i(v_x____) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1:
% 288.85/56.90 $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 288.85/56.90 ? [v7: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 288.85/56.90 c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 288.85/56.90 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 288.85/56.90 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v5) = v6 &
% 288.85/56.90 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v7 & hAPP(v4, v_x____) = v5 &
% 288.85/56.90 hAPP(v0, v3) = v4 & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 288.85/56.90 $i(v1) & $i(v0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6,
% 288.85/56.90 v7))
% 288.85/56.90
% 288.85/56.90 (fact__096abs_A_I2_A_K_Ay_J_A_060_061_A1_096)
% 288.85/56.91 $i(v_y____) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1:
% 288.85/56.91 $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 288.85/56.91 ? [v7: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 288.85/56.91 c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 288.85/56.91 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 288.85/56.91 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v5) = v6 &
% 288.85/56.91 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v7 & hAPP(v4, v_y____) = v5 &
% 288.85/56.91 hAPP(v0, v3) = v4 & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 288.85/56.91 $i(v1) & $i(v0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6,
% 288.85/56.91 v7))
% 288.85/56.91
% 288.85/56.91 (fact_abs__add__one__gt__zero)
% 288.85/56.91 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 288.85/56.91 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 288.85/56.91 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0) & ! [v2:
% 288.85/56.91 $i] : ! [v3: $i] : ( ~ (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v2) =
% 288.85/56.91 v3) | ~ $i(v2) | ? [v4: $i] :
% 288.85/56.91 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v3) = v4 & $i(v4) &
% 288.85/56.91 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4))))
% 288.85/56.91
% 288.85/56.91 (fact_abs__add__one__not__less__self)
% 288.85/56.91 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 288.85/56.91 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : !
% 288.85/56.91 [v2: $i] : ( ~ (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1) = v2) | ~
% 288.85/56.91 $i(v1) | ? [v3: $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2,
% 288.85/56.91 v0) = v3 & $i(v3) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 288.85/56.91 v3, v1))))
% 288.85/56.91
% 288.85/56.91 (fact_abs__eq__0)
% 288.85/56.91 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (c_Groups_Oabs__class_Oabs(v1,
% 288.85/56.91 v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 288.85/56.91 class_Groups_Oordered__ab__group__add__abs(v1) | ? [v3: $i] :
% 288.85/56.91 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~ (v3 = v2) | v2 = v0) &
% 288.85/56.91 ( ~ (v3 = v0) | v2 = v0)))
% 288.85/56.91
% 288.85/56.91 (fact_abs__ge__zero)
% 288.85/56.91 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (c_Groups_Oabs__class_Oabs(v1,
% 288.85/56.91 v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 288.85/56.91 class_Groups_Oordered__ab__group__add__abs(v1) | ? [v3: $i] :
% 288.85/56.91 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) &
% 288.85/56.91 c_Orderings_Oord__class_Oless__eq(v1, v3, v2)))
% 288.85/56.91
% 288.85/56.91 (fact_abs__le__zero__iff)
% 288.85/56.91 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (c_Groups_Oabs__class_Oabs(v1,
% 288.85/56.91 v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 288.85/56.91 class_Groups_Oordered__ab__group__add__abs(v1) | ? [v3: $i] :
% 288.85/56.91 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~ (v3 = v0) |
% 288.85/56.91 c_Orderings_Oord__class_Oless__eq(v1, v2, v0)) & (v3 = v0 | ~
% 288.85/56.91 c_Orderings_Oord__class_Oless__eq(v1, v2, v3))))
% 288.85/56.91
% 288.85/56.91 (fact_abs__norm__cancel)
% 288.85/56.91 $i(tc_RealDef_Oreal) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 288.85/56.91 (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 288.85/56.91 class_RealVector_Oreal__normed__vector(v1) |
% 288.85/56.91 (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v2) = v2 & $i(v2)))
% 288.85/56.91
% 288.85/56.91 (fact_abs__not__less__zero)
% 288.85/56.92 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (c_Groups_Oabs__class_Oabs(v1,
% 288.85/56.92 v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 288.85/56.92 class_Groups_Oordered__ab__group__add__abs(v1) | ? [v3: $i] :
% 288.85/56.92 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ~
% 288.85/56.92 c_Orderings_Oord__class_Oless(v1, v2, v3)))
% 288.85/56.92
% 288.85/56.92 (fact_abs__power2)
% 288.85/56.92 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 288.85/56.92 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 288.85/56.92 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 288.85/56.92 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 288.85/56.92 : ! [v8: $i] : (v8 = v7 | ~ (c_Power_Opower__class_Opower(v4) = v5) | ~
% 288.85/56.92 (c_Groups_Oabs__class_Oabs(v4, v7) = v8) | ~ (hAPP(v6, v2) = v7) | ~
% 288.85/56.92 (hAPP(v5, v3) = v6) | ~ $i(v4) | ~ $i(v3) | ~
% 288.85/56.92 class_Rings_Olinordered__idom(v4)))
% 288.85/56.92
% 288.85/56.92 (fact_add__2__eq__Suc)
% 288.85/56.92 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 288.85/56.92 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 288.85/56.92 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 288.85/56.92 $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~
% 288.85/56.92 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v3) = v4) | ~ $i(v3) | ?
% 288.85/56.92 [v5: $i] : (c_Nat_OSuc(v5) = v4 & c_Nat_OSuc(v3) = v5 & $i(v5) & $i(v4))))
% 288.85/56.92
% 288.85/56.92 (fact_add__2__eq__Suc_H)
% 288.85/56.92 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 288.85/56.92 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 288.85/56.92 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 288.85/56.92 $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~
% 288.85/56.92 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v2) = v4) | ~ $i(v3) | ?
% 288.85/56.92 [v5: $i] : (c_Nat_OSuc(v5) = v4 & c_Nat_OSuc(v3) = v5 & $i(v5) & $i(v4))))
% 288.85/56.92
% 288.85/56.92 (fact_add__eq__if)
% 288.85/56.92 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 288.85/56.92 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 &
% 288.85/56.92 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v1) & $i(v0) & ! [v2: $i]
% 288.85/56.92 : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v3 = v0 | ~
% 288.85/56.92 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v1) = v4) | ~
% 288.85/56.92 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v4, v2) = v5) | ~ $i(v3) | ~
% 288.85/56.92 $i(v2) | ? [v6: $i] : (c_Nat_OSuc(v5) = v6 &
% 288.85/56.92 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v2) = v6 & $i(v6))) & !
% 288.85/56.92 [v2: $i] : ! [v3: $i] : (v3 = v2 | ~
% 288.85/56.92 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v2) = v3) | ~ $i(v2)))
% 288.85/56.92
% 288.85/56.92 (fact_add__eq__self__zero)
% 288.85/56.93 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 288.85/56.93 & $i(v0) & ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 288.85/56.93 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v2) | ~ $i(v2) | ~
% 288.85/56.93 $i(v1)))
% 288.85/56.93
% 288.85/56.93 (fact_add__gr__0)
% 288.85/56.93 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 288.85/56.93 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 288.85/56.93 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ~ $i(v2) | ~
% 288.85/56.93 $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) |
% 288.85/56.93 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) |
% 288.85/56.93 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1)) & ! [v1: $i] : !
% 288.85/56.93 [v2: $i] : ! [v3: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2,
% 288.85/56.93 v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 288.85/56.93 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) |
% 288.85/56.93 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3)) & ! [v1: $i] : !
% 288.85/56.93 [v2: $i] : ! [v3: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2,
% 288.85/56.93 v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 288.85/56.93 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) |
% 288.85/56.93 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3)))
% 288.85/56.93
% 288.85/56.93 (fact_add__is__0)
% 288.85/56.93 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 288.85/56.93 & $i(v0) & ! [v1: $i] : ! [v2: $i] : (v2 = v0 | ~
% 288.85/56.93 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v0) | ~ $i(v2) | ~
% 288.85/56.93 $i(v1)) & ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 288.85/56.93 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v0) | ~ $i(v2) | ~
% 288.85/56.93 $i(v1)) & ! [v1: $i] : (v1 = v0 | ~
% 288.85/56.93 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v0) = v1)))
% 288.85/56.93
% 288.85/56.93 (fact_add__is__1)
% 288.85/56.93 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 288.85/56.93 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & c_Nat_OSuc(v0) = v1 & $i(v1)
% 288.85/56.93 & $i(v0) & ! [v2: $i] : ! [v3: $i] : (v3 = v1 | v3 = v0 | ~
% 288.85/56.93 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v2) = v1) | ~ $i(v3) | ~
% 288.85/56.93 $i(v2)) & ! [v2: $i] : ! [v3: $i] : (v3 = v1 | v2 = v1 | ~
% 288.85/56.93 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v2) = v1) | ~ $i(v3) | ~
% 288.85/56.93 $i(v2)) & ! [v2: $i] : ! [v3: $i] : (v3 = v0 | v2 = v0 | ~
% 288.85/56.93 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v2) = v1) | ~ $i(v3) | ~
% 288.85/56.93 $i(v2)) & ! [v2: $i] : ! [v3: $i] : (v2 = v1 | v2 = v0 | ~
% 288.85/56.93 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v2) = v1) | ~ $i(v3) | ~
% 288.85/56.93 $i(v2)) & ! [v2: $i] : (v2 = v1 | ~
% 288.85/56.93 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2)) & ! [v2: $i] :
% 288.85/56.93 (v2 = v1 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v2)))
% 288.85/56.93
% 288.85/56.93 (fact_add__neg__neg)
% 288.85/56.94 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 288.85/56.94 (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 288.85/56.94 $i(v0) | ~ class_Groups_Oordered__comm__monoid__add(v2) | ? [v4: $i] :
% 288.85/56.94 (c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4) & ( ~
% 288.85/56.94 c_Orderings_Oord__class_Oless(v2, v1, v4) | ~
% 288.85/56.94 c_Orderings_Oord__class_Oless(v2, v0, v4) |
% 288.85/56.94 c_Orderings_Oord__class_Oless(v2, v3, v4))))
% 288.85/56.94
% 288.85/56.94 (fact_add__neg__nonpos)
% 288.85/56.94 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 288.85/56.94 (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 288.85/56.94 $i(v0) | ~ class_Groups_Oordered__comm__monoid__add(v2) | ? [v4: $i] :
% 288.85/56.94 (c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4) & ( ~
% 288.85/56.94 c_Orderings_Oord__class_Oless(v2, v1, v4) | ~
% 288.85/56.94 c_Orderings_Oord__class_Oless__eq(v2, v0, v4) |
% 288.85/56.94 c_Orderings_Oord__class_Oless(v2, v3, v4))))
% 288.85/56.94
% 288.85/56.94 (fact_add__nonneg__eq__0__iff)
% 288.85/56.94 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 288.85/56.94 (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 288.85/56.94 $i(v0) | ~ class_Groups_Oordered__comm__monoid__add(v2) | ? [v4: $i] :
% 288.85/56.94 (c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4) & ( ~
% 288.85/56.94 c_Orderings_Oord__class_Oless__eq(v2, v4, v1) | ~
% 288.85/56.94 c_Orderings_Oord__class_Oless__eq(v2, v4, v0) | (( ~ (v4 = v3) | (v3 =
% 288.85/56.94 v0 & v1 = v0)) & ( ~ (v4 = v0) | ~ (v1 = v0) | v3 = v0)))))
% 288.85/56.94
% 288.85/56.94 (fact_add__nonneg__nonneg)
% 288.85/56.94 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 288.85/56.94 (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 288.85/56.94 $i(v0) | ~ class_Groups_Oordered__comm__monoid__add(v2) | ? [v4: $i] :
% 288.85/56.94 (c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4) & ( ~
% 288.85/56.94 c_Orderings_Oord__class_Oless__eq(v2, v4, v1) | ~
% 288.85/56.94 c_Orderings_Oord__class_Oless__eq(v2, v4, v0) |
% 288.85/56.94 c_Orderings_Oord__class_Oless__eq(v2, v4, v3))))
% 288.85/56.94
% 288.85/56.94 (fact_add__nonneg__pos)
% 288.85/56.94 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 288.85/56.94 (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 288.85/56.94 $i(v0) | ~ class_Groups_Oordered__comm__monoid__add(v2) | ? [v4: $i] :
% 288.85/56.94 (c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4) & ( ~
% 288.85/56.94 c_Orderings_Oord__class_Oless(v2, v4, v0) | ~
% 288.85/56.94 c_Orderings_Oord__class_Oless__eq(v2, v4, v1) |
% 288.85/56.94 c_Orderings_Oord__class_Oless(v2, v4, v3))))
% 288.85/56.94
% 288.85/56.94 (fact_add__nonpos__neg)
% 288.85/56.94 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 288.85/56.94 (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 288.85/56.94 $i(v0) | ~ class_Groups_Oordered__comm__monoid__add(v2) | ? [v4: $i] :
% 288.85/56.94 (c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4) & ( ~
% 288.85/56.94 c_Orderings_Oord__class_Oless(v2, v0, v4) | ~
% 288.85/56.94 c_Orderings_Oord__class_Oless__eq(v2, v1, v4) |
% 288.85/56.94 c_Orderings_Oord__class_Oless(v2, v3, v4))))
% 288.85/56.94
% 288.85/56.94 (fact_add__nonpos__nonpos)
% 288.85/56.95 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 288.85/56.95 (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 288.85/56.95 $i(v0) | ~ class_Groups_Oordered__comm__monoid__add(v2) | ? [v4: $i] :
% 288.85/56.95 (c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4) & ( ~
% 288.85/56.95 c_Orderings_Oord__class_Oless__eq(v2, v1, v4) | ~
% 288.85/56.95 c_Orderings_Oord__class_Oless__eq(v2, v0, v4) |
% 288.85/56.95 c_Orderings_Oord__class_Oless__eq(v2, v3, v4))))
% 288.85/56.95
% 288.85/56.95 (fact_add__pos__nonneg)
% 288.85/56.95 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 288.85/56.95 (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 288.85/56.95 $i(v0) | ~ class_Groups_Oordered__comm__monoid__add(v2) | ? [v4: $i] :
% 288.85/56.95 (c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4) & ( ~
% 288.85/56.95 c_Orderings_Oord__class_Oless(v2, v4, v1) | ~
% 288.85/56.95 c_Orderings_Oord__class_Oless__eq(v2, v4, v0) |
% 288.85/56.95 c_Orderings_Oord__class_Oless(v2, v4, v3))))
% 288.85/56.95
% 288.85/56.95 (fact_add__pos__pos)
% 288.85/56.95 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 288.85/56.95 (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 288.85/56.95 $i(v0) | ~ class_Groups_Oordered__comm__monoid__add(v2) | ? [v4: $i] :
% 288.85/56.95 (c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4) & ( ~
% 288.85/56.95 c_Orderings_Oord__class_Oless(v2, v4, v1) | ~
% 288.85/56.95 c_Orderings_Oord__class_Oless(v2, v4, v0) |
% 288.85/56.95 c_Orderings_Oord__class_Oless(v2, v4, v3))))
% 288.85/56.95
% 288.85/56.95 (fact_add__special_I2_J)
% 289.09/56.95 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0
% 289.09/56.95 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 289.09/56.95 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v1) = v3) | ~
% 289.09/56.95 (c_Int_Onumber__class_Onumber__of(v2, v3) = v4) | ~ $i(v2) | ~ $i(v1) |
% 289.09/56.95 ~ class_Int_Onumber__ring(v2) | ? [v5: $i] : ? [v6: $i] :
% 289.09/56.95 (c_Groups_Oplus__class_Oplus(v2, v5, v6) = v4 &
% 289.09/56.95 c_Int_Onumber__class_Onumber__of(v2, v1) = v6 &
% 289.09/56.95 c_Groups_Oone__class_Oone(v2) = v5 & $i(v6) & $i(v5) & $i(v4))))
% 289.09/56.95
% 289.09/56.95 (fact_add__special_I3_J)
% 289.09/56.95 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0
% 289.09/56.95 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 289.09/56.95 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v3) | ~
% 289.09/56.95 (c_Int_Onumber__class_Onumber__of(v2, v3) = v4) | ~ $i(v2) | ~ $i(v1) |
% 289.09/56.95 ~ class_Int_Onumber__ring(v2) | ? [v5: $i] : ? [v6: $i] :
% 289.09/56.95 (c_Groups_Oplus__class_Oplus(v2, v5, v6) = v4 &
% 289.09/56.95 c_Int_Onumber__class_Onumber__of(v2, v1) = v5 &
% 289.09/56.95 c_Groups_Oone__class_Oone(v2) = v6 & $i(v6) & $i(v5) & $i(v4))))
% 289.09/56.95
% 289.09/56.95 (fact_arctan__add)
% 289.09/56.96 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 289.09/56.96 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 289.09/56.96 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & ! [v2:
% 289.09/56.96 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 289.09/56.96 : ! [v8: $i] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v4,
% 289.09/56.96 v7) = v8) | ~ (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v0,
% 289.09/56.96 v6) = v7) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v2)
% 289.09/56.96 = v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v1, v3) = v5) | ~ $i(v3) | ~
% 289.09/56.96 $i(v2) | ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ?
% 289.09/56.96 [v13: $i] : ? [v14: $i] : ((v14 = v13 & c_Transcendental_Oarctan(v8) =
% 289.09/56.96 v13 & c_Transcendental_Oarctan(v3) = v11 &
% 289.09/56.96 c_Transcendental_Oarctan(v2) = v12 &
% 289.09/56.96 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v11, v12) = v13 &
% 289.09/56.96 $i(v13) & $i(v12) & $i(v11)) |
% 289.09/56.96 (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v3) = v9 & $i(v9) & ~
% 289.09/56.96 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v9, v0)) |
% 289.09/56.96 (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v2) = v10 & $i(v10) & ~
% 289.09/56.96 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10, v0)))))
% 289.09/56.96
% 289.09/56.96 (fact_arctan__half)
% 289.09/56.96 $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ?
% 289.09/56.96 [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i]
% 289.09/56.96 : ? [v7: $i] : (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v6 &
% 289.09/56.96 c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 289.09/56.96 c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 289.09/56.96 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v7 &
% 289.09/56.96 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 289.09/56.96 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v5 & hAPP(v0, v3) = v4 &
% 289.09/56.96 $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & !
% 289.09/56.96 [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ! [v12: $i] : !
% 289.09/56.96 [v13: $i] : ! [v14: $i] : ( ~
% 289.09/56.96 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v8, v13) = v14) | ~
% 289.09/56.96 (c_NthRoot_Osqrt(v11) = v12) | ~
% 289.09/56.96 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v12) = v13) | ~
% 289.09/56.96 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v10) = v11) | ~
% 289.09/56.96 (hAPP(v9, v7) = v10) | ~ (hAPP(v6, v8) = v9) | ~ $i(v8) | ? [v15: $i] :
% 289.09/56.96 ? [v16: $i] : (c_Transcendental_Oarctan(v14) = v16 &
% 289.09/56.96 c_Transcendental_Oarctan(v8) = v15 & hAPP(v4, v16) = v15 & $i(v16) &
% 289.09/56.96 $i(v15))))
% 289.09/56.96
% 289.09/56.96 (fact_arctan__zero__zero)
% 289.09/56.96 $i(tc_RealDef_Oreal) & ? [v0: $i] : (c_Transcendental_Oarctan(v0) = v0 &
% 289.09/56.96 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0))
% 289.09/56.96
% 289.09/56.96 (fact_assms)
% 289.09/56.96 $i(v_z) & $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 289.09/56.96 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_z) = v0 &
% 289.09/56.96 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0))
% 289.09/56.96
% 289.09/56.96 (fact_bin__less__0__simps_I1_J)
% 289.09/56.96 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] :
% 289.09/56.96 (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0) & ~
% 289.09/56.96 c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0))
% 289.09/56.96
% 289.09/56.96 (fact_bin__less__0__simps_I3_J)
% 289.09/56.96 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 289.09/56.96 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (c_Int_OBit0(v1) = v2) | ~
% 289.09/56.96 $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0) |
% 289.09/56.96 c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0)) & ! [v1: $i] : !
% 289.09/56.96 [v2: $i] : ( ~ (c_Int_OBit0(v1) = v2) | ~ $i(v1) | ~
% 289.09/56.96 c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) |
% 289.09/56.96 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0)))
% 289.09/56.96
% 289.09/56.96 (fact_bin__less__0__simps_I4_J)
% 289.09/56.96 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 289.09/56.96 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (c_Int_OBit1(v1) = v2) | ~
% 289.09/56.96 $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0) |
% 289.09/56.96 c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0)) & ! [v1: $i] : !
% 289.09/56.96 [v2: $i] : ( ~ (c_Int_OBit1(v1) = v2) | ~ $i(v1) | ~
% 289.09/56.96 c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) |
% 289.09/56.96 c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0)))
% 289.09/56.96
% 289.09/56.96 (fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J)
% 289.09/56.97 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.09/56.97 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 289.09/56.97 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 289.09/56.97 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 289.09/56.97 : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (hAPP(v6, v3) = v7) | ~
% 289.09/56.97 (hAPP(v5, v3) = v6) | ~ $i(v4) | ~ $i(v3) | ~
% 289.09/56.97 class_Rings_Ocomm__semiring__1(v4) | ? [v8: $i] : ? [v9: $i] :
% 289.09/56.97 (c_Power_Opower__class_Opower(v4) = v8 & hAPP(v9, v2) = v7 & hAPP(v8, v3)
% 289.09/56.97 = v9 & $i(v9) & $i(v8) & $i(v7))))
% 289.09/56.97
% 289.09/56.97 (fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J)
% 289.09/56.97 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 289.09/56.97 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 289.09/56.97 (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v3, v1) = v4) | ~
% 289.09/56.97 $i(v2) | ~ $i(v1) | ~ class_Rings_Ocomm__semiring__1(v2) | ? [v5: $i] :
% 289.09/56.97 (c_Groups_Oone__class_Oone(v2) = v5 & hAPP(v4, v0) = v5 & $i(v5))))
% 289.09/56.97
% 289.09/56.97 (fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J)
% 289.09/56.97 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 &
% 289.09/56.97 $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 289.09/56.97 (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v3, v1) = v4) | ~
% 289.09/56.97 $i(v2) | ~ $i(v1) | ~ class_Rings_Ocomm__semiring__1(v2) | hAPP(v4, v0)
% 289.09/56.97 = v1))
% 289.09/56.97
% 289.09/56.97 (fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J)
% 289.09/56.97 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.09/56.97 ? [v3: $i] : ? [v4: $i] : (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 289.09/56.97 c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 289.09/56.97 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & hAPP(v0, v3) = v4 &
% 289.09/56.97 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : !
% 289.09/56.97 [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~
% 289.09/56.97 (c_Power_Opower__class_Opower(v7) = v8) | ~ (hAPP(v9, v10) = v11) | ~
% 289.09/56.97 (hAPP(v8, v6) = v9) | ~ (hAPP(v4, v5) = v10) | ~ $i(v7) | ~ $i(v6) | ~
% 289.09/56.97 $i(v5) | ~ class_Rings_Ocomm__semiring__1(v7) | ? [v12: $i] : ? [v13:
% 289.09/56.97 $i] : ? [v14: $i] : (c_Groups_Otimes__class_Otimes(v7) = v12 &
% 289.09/56.97 hAPP(v14, v13) = v11 & hAPP(v12, v13) = v14 & hAPP(v9, v5) = v13 &
% 289.09/56.97 $i(v14) & $i(v13) & $i(v12) & $i(v11))))
% 289.09/56.97
% 289.09/56.97 (fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J)
% 289.09/56.97 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.09/56.97 ? [v3: $i] : ? [v4: $i] : (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 289.09/56.97 c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 289.09/56.97 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & hAPP(v0, v3) = v4 &
% 289.09/56.97 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : !
% 289.09/56.97 [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : !
% 289.09/56.97 [v12: $i] : ( ~ (c_Nat_OSuc(v10) = v11) | ~
% 289.09/56.97 (c_Power_Opower__class_Opower(v7) = v8) | ~ (hAPP(v9, v11) = v12) | ~
% 289.09/56.97 (hAPP(v8, v6) = v9) | ~ (hAPP(v4, v5) = v10) | ~ $i(v7) | ~ $i(v6) | ~
% 289.09/56.97 $i(v5) | ~ class_Rings_Ocomm__semiring__1(v7) | ? [v13: $i] : ? [v14:
% 289.09/56.97 $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] :
% 289.09/56.97 (c_Groups_Otimes__class_Otimes(v7) = v13 & hAPP(v16, v15) = v17 &
% 289.09/56.97 hAPP(v14, v17) = v12 & hAPP(v13, v15) = v16 & hAPP(v13, v6) = v14 &
% 289.09/56.97 hAPP(v9, v5) = v15 & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) &
% 289.09/56.97 $i(v12))))
% 289.09/56.97
% 289.09/56.97 (fact_complex_Osize_I1_J)
% 289.09/56.97 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 289.09/56.97 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 289.09/56.97 (c_Complex_Ocomplex_OComplex(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) |
% 289.09/56.97 c_Complex_Ocomplex_Ocomplex__size(v3) = v0))
% 289.09/56.97
% 289.09/56.97 (fact_complex_Osize_I2_J)
% 289.09/56.97 $i(tc_Complex_Ocomplex) & $i(tc_Nat_Onat) & ? [v0: $i] :
% 289.09/56.97 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) & ! [v1: $i] : !
% 289.09/56.97 [v2: $i] : ! [v3: $i] : ( ~ (c_Complex_Ocomplex_OComplex(v2, v1) = v3) | ~
% 289.09/56.97 $i(v2) | ~ $i(v1) | c_Nat_Osize__class_Osize(tc_Complex_Ocomplex, v3) =
% 289.09/56.97 v0))
% 289.09/56.97
% 289.09/56.97 (fact_complex__mult)
% 289.09/56.98 $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 289.09/56.98 (c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v0 &
% 289.09/56.98 c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0) & !
% 289.09/56.98 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 289.09/56.98 $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ! [v12:
% 289.09/56.98 $i] : ! [v13: $i] : ! [v14: $i] : ( ~
% 289.09/56.98 (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v7, v9) = v10) | ~
% 289.09/56.98 (c_Complex_Ocomplex_OComplex(v10, v13) = v14) | ~
% 289.09/56.98 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v11, v12) = v13) | ~
% 289.09/56.98 (hAPP(v8, v3) = v12) | ~ (hAPP(v8, v2) = v9) | ~ (hAPP(v6, v3) = v7) |
% 289.09/56.98 ~ (hAPP(v6, v2) = v11) | ~ (hAPP(v1, v5) = v6) | ~ (hAPP(v1, v4) = v8) |
% 289.09/56.98 ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ? [v15: $i] : ? [v16:
% 289.09/56.98 $i] : ? [v17: $i] : (c_Complex_Ocomplex_OComplex(v5, v4) = v15 &
% 289.09/56.98 c_Complex_Ocomplex_OComplex(v3, v2) = v17 & hAPP(v16, v17) = v14 &
% 289.09/56.98 hAPP(v0, v15) = v16 & $i(v17) & $i(v16) & $i(v15) & $i(v14))))
% 289.09/56.98
% 289.09/56.98 (fact_complex__norm)
% 289.09/56.98 $i(tc_Complex_Ocomplex) & $i(tc_Nat_Onat) & $i(c_Int_OPls) &
% 289.09/56.98 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 289.09/56.98 (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 & c_Int_OBit1(c_Int_OPls)
% 289.09/56.98 = v1 & c_Int_OBit0(v1) = v2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 289.09/56.98 v2) = v3 & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] :
% 289.09/56.98 ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ( ~
% 289.09/56.98 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v7, v9) = v10) | ~
% 289.09/56.98 (hAPP(v8, v3) = v9) | ~ (hAPP(v6, v3) = v7) | ~ (hAPP(v0, v5) = v6) | ~
% 289.09/56.98 (hAPP(v0, v4) = v8) | ~ $i(v5) | ~ $i(v4) | ? [v11: $i] : ? [v12: $i]
% 289.09/56.98 : (c_NthRoot_Osqrt(v10) = v12 &
% 289.09/56.98 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v11) = v12 &
% 289.09/56.98 c_Complex_Ocomplex_OComplex(v5, v4) = v11 & $i(v12) & $i(v11))))
% 289.09/56.98
% 289.09/56.98 (fact_complex__one__def)
% 289.09/56.98 $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 289.09/56.98 ? [v2: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v2 &
% 289.09/56.98 c_Complex_Ocomplex_OComplex(v1, v2) = v0 &
% 289.09/56.98 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 &
% 289.09/56.98 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & $i(v2) & $i(v1) & $i(v0))
% 289.09/56.98
% 289.09/56.98 (fact_complex__zero__def)
% 289.09/56.98 $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 289.09/56.98 (c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0 &
% 289.09/56.98 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 289.09/56.98 c_Complex_Ocomplex_OComplex(v1, v1) = v0 & $i(v1) & $i(v0))
% 289.09/56.98
% 289.09/56.98 (fact_cos__x__y__le__one)
% 289.09/56.98 $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ?
% 289.09/56.98 [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 289.09/56.98 (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 & c_Int_OBit1(c_Int_OPls)
% 289.09/56.98 = v1 & c_Int_OBit0(v1) = v2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 289.09/56.98 v2) = v3 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v4 & $i(v4) &
% 289.09/56.98 $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 289.09/56.98 : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ! [v12: $i] :
% 289.09/56.98 ! [v13: $i] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v6,
% 289.09/56.98 v12) = v13) | ~ (c_NthRoot_Osqrt(v11) = v12) | ~
% 289.09/56.98 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v8, v10) = v11) | ~
% 289.09/56.98 (hAPP(v9, v3) = v10) | ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v0, v6) = v7) |
% 289.09/56.98 ~ (hAPP(v0, v5) = v9) | ~ $i(v6) | ~ $i(v5) | ? [v14: $i] :
% 289.09/56.98 (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v13) = v14 & $i(v14) &
% 289.09/56.98 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v14, v4))))
% 289.09/56.98
% 289.09/56.98 (fact_csqrt)
% 289.09/56.98 $i(tc_Complex_Ocomplex) & $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ?
% 289.09/56.98 [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 289.09/56.98 (c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v0 &
% 289.09/56.98 c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 289.09/56.98 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & $i(v3) & $i(v2) &
% 289.09/56.98 $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ( ~
% 289.09/56.98 (c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt(v4) = v5) | ~ $i(v4) |
% 289.09/56.98 ? [v6: $i] : (hAPP(v6, v3) = v4 & hAPP(v0, v5) = v6 & $i(v6))))
% 289.09/56.98
% 289.09/56.98 (fact_diff__Suc__eq__diff__pred)
% 289.09/56.99 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 &
% 289.09/56.99 $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 289.09/56.99 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v1) = v4) | ~
% 289.09/56.99 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v0) = v3) | ~ $i(v2) | ~
% 289.09/56.99 $i(v1) | ? [v5: $i] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v5)
% 289.09/56.99 = v4 & c_Nat_OSuc(v1) = v5 & $i(v5) & $i(v4))))
% 289.09/56.99
% 289.09/56.99 (fact_diff__is__0__eq)
% 289.09/56.99 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 289.09/56.99 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 289.09/56.99 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v3) | ~ $i(v2) | ~
% 289.09/56.99 $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1)) & !
% 289.09/56.99 [v1: $i] : ! [v2: $i] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2,
% 289.09/56.99 v1) = v0) | ~ $i(v2) | ~ $i(v1) |
% 289.09/56.99 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1)))
% 289.09/56.99
% 289.09/56.99 (fact_diff__is__0__eq_H)
% 289.09/56.99 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 289.09/56.99 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 289.09/56.99 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v3) | ~ $i(v2) | ~
% 289.09/56.99 $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1)))
% 289.09/56.99
% 289.09/56.99 (fact_diff__self__eq__0)
% 289.09/56.99 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 289.09/56.99 & $i(v0) & ! [v1: $i] : ! [v2: $i] : (v2 = v0 | ~
% 289.09/56.99 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v1) = v2) | ~ $i(v1)))
% 289.09/56.99
% 289.09/56.99 (fact_divide__Numeral1)
% 289.09/56.99 $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & !
% 289.09/56.99 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v1 | ~
% 289.09/56.99 (c_Rings_Oinverse__class_Odivide(v2, v1, v3) = v4) | ~
% 289.09/56.99 (c_Int_Onumber__class_Onumber__of(v2, v0) = v3) | ~ $i(v2) | ~ $i(v1) |
% 289.09/56.99 ~ class_Fields_Ofield(v2) | ~ class_Int_Onumber__ring(v2)))
% 289.09/56.99
% 289.09/56.99 (fact_divide__le__0__iff)
% 289.09/56.99 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 289.09/56.99 (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) |
% 289.09/56.99 ~ $i(v0) | ~ class_Fields_Olinordered__field__inverse__zero(v2) | ? [v4:
% 289.09/56.99 $i] : (c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4) & ( ~
% 289.09/56.99 c_Orderings_Oord__class_Oless__eq(v2, v3, v4) |
% 289.09/56.99 (c_Orderings_Oord__class_Oless__eq(v2, v4, v1) &
% 289.09/56.99 c_Orderings_Oord__class_Oless__eq(v2, v0, v4)) |
% 289.09/56.99 (c_Orderings_Oord__class_Oless__eq(v2, v4, v0) &
% 289.09/56.99 c_Orderings_Oord__class_Oless__eq(v2, v1, v4))) &
% 289.09/56.99 (c_Orderings_Oord__class_Oless__eq(v2, v3, v4) | (( ~
% 289.09/56.99 c_Orderings_Oord__class_Oless__eq(v2, v4, v1) | ~
% 289.09/56.99 c_Orderings_Oord__class_Oless__eq(v2, v0, v4)) & ( ~
% 289.09/56.99 c_Orderings_Oord__class_Oless__eq(v2, v4, v0) | ~
% 289.09/56.99 c_Orderings_Oord__class_Oless__eq(v2, v1, v4))))))
% 289.09/56.99
% 289.09/56.99 (fact_divide__less__0__iff)
% 289.09/56.99 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 289.09/56.99 (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) |
% 289.09/56.99 ~ $i(v0) | ~ class_Fields_Olinordered__field__inverse__zero(v2) | ? [v4:
% 289.09/56.99 $i] : (c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4) & ( ~
% 289.09/56.99 c_Orderings_Oord__class_Oless(v2, v3, v4) |
% 289.09/56.99 (c_Orderings_Oord__class_Oless(v2, v4, v1) &
% 289.09/56.99 c_Orderings_Oord__class_Oless(v2, v0, v4)) |
% 289.09/56.99 (c_Orderings_Oord__class_Oless(v2, v4, v0) &
% 289.09/56.99 c_Orderings_Oord__class_Oless(v2, v1, v4))) &
% 289.09/56.99 (c_Orderings_Oord__class_Oless(v2, v3, v4) | (( ~
% 289.09/56.99 c_Orderings_Oord__class_Oless(v2, v4, v1) | ~
% 289.09/56.99 c_Orderings_Oord__class_Oless(v2, v0, v4)) & ( ~
% 289.09/56.99 c_Orderings_Oord__class_Oless(v2, v4, v0) | ~
% 289.09/56.99 c_Orderings_Oord__class_Oless(v2, v1, v4))))))
% 289.09/56.99
% 289.09/56.99 (fact_divide__neg__neg)
% 289.09/56.99 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 289.09/56.99 (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) |
% 289.09/56.99 ~ $i(v0) | ~ class_Fields_Olinordered__field(v2) | ? [v4: $i] :
% 289.09/56.99 (c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4) & ( ~
% 289.09/56.99 c_Orderings_Oord__class_Oless(v2, v1, v4) | ~
% 289.09/56.99 c_Orderings_Oord__class_Oless(v2, v0, v4) |
% 289.09/56.99 c_Orderings_Oord__class_Oless(v2, v4, v3))))
% 289.09/56.99
% 289.09/56.99 (fact_divide__neg__pos)
% 289.09/56.99 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 289.09/56.99 (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) |
% 289.09/56.99 ~ $i(v0) | ~ class_Fields_Olinordered__field(v2) | ? [v4: $i] :
% 289.09/56.99 (c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4) & ( ~
% 289.09/56.99 c_Orderings_Oord__class_Oless(v2, v4, v0) | ~
% 289.09/56.99 c_Orderings_Oord__class_Oless(v2, v1, v4) |
% 289.09/56.99 c_Orderings_Oord__class_Oless(v2, v3, v4))))
% 289.09/56.99
% 289.09/56.99 (fact_divide__nonneg__neg)
% 289.09/57.00 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 289.09/57.00 (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) |
% 289.09/57.00 ~ $i(v0) | ~ class_Fields_Olinordered__field(v2) | ? [v4: $i] :
% 289.09/57.00 (c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4) & ( ~
% 289.09/57.00 c_Orderings_Oord__class_Oless(v2, v0, v4) | ~
% 289.09/57.00 c_Orderings_Oord__class_Oless__eq(v2, v4, v1) |
% 289.09/57.00 c_Orderings_Oord__class_Oless__eq(v2, v3, v4))))
% 289.09/57.00
% 289.09/57.00 (fact_divide__nonneg__pos)
% 289.09/57.00 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 289.09/57.00 (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) |
% 289.09/57.00 ~ $i(v0) | ~ class_Fields_Olinordered__field(v2) | ? [v4: $i] :
% 289.09/57.00 (c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4) & ( ~
% 289.09/57.00 c_Orderings_Oord__class_Oless(v2, v4, v0) | ~
% 289.09/57.00 c_Orderings_Oord__class_Oless__eq(v2, v4, v1) |
% 289.09/57.00 c_Orderings_Oord__class_Oless__eq(v2, v4, v3))))
% 289.09/57.00
% 289.09/57.00 (fact_divide__nonpos__neg)
% 289.09/57.00 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 289.09/57.00 (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) |
% 289.09/57.00 ~ $i(v0) | ~ class_Fields_Olinordered__field(v2) | ? [v4: $i] :
% 289.09/57.00 (c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4) & ( ~
% 289.09/57.00 c_Orderings_Oord__class_Oless(v2, v0, v4) | ~
% 289.09/57.00 c_Orderings_Oord__class_Oless__eq(v2, v1, v4) |
% 289.09/57.00 c_Orderings_Oord__class_Oless__eq(v2, v4, v3))))
% 289.09/57.00
% 289.09/57.00 (fact_divide__nonpos__pos)
% 289.09/57.00 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 289.09/57.00 (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) |
% 289.09/57.00 ~ $i(v0) | ~ class_Fields_Olinordered__field(v2) | ? [v4: $i] :
% 289.09/57.00 (c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4) & ( ~
% 289.09/57.00 c_Orderings_Oord__class_Oless(v2, v4, v0) | ~
% 289.09/57.00 c_Orderings_Oord__class_Oless__eq(v2, v1, v4) |
% 289.09/57.00 c_Orderings_Oord__class_Oless__eq(v2, v3, v4))))
% 289.09/57.00
% 289.09/57.00 (fact_divide__numeral__1)
% 289.09/57.00 $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & !
% 289.09/57.00 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v1 | ~
% 289.09/57.00 (c_Rings_Oinverse__class_Odivide(v2, v1, v3) = v4) | ~
% 289.09/57.00 (c_Int_Onumber__class_Onumber__of(v2, v0) = v3) | ~ $i(v2) | ~ $i(v1) |
% 289.09/57.00 ~ class_Fields_Ofield(v2) | ~ class_Int_Onumber__ring(v2)))
% 289.09/57.00
% 289.09/57.00 (fact_divide__pos__neg)
% 289.09/57.00 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 289.09/57.00 (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) |
% 289.09/57.00 ~ $i(v0) | ~ class_Fields_Olinordered__field(v2) | ? [v4: $i] :
% 289.09/57.00 (c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4) & ( ~
% 289.09/57.00 c_Orderings_Oord__class_Oless(v2, v4, v1) | ~
% 289.09/57.00 c_Orderings_Oord__class_Oless(v2, v0, v4) |
% 289.09/57.00 c_Orderings_Oord__class_Oless(v2, v3, v4))))
% 289.09/57.00
% 289.09/57.00 (fact_divide__pos__pos)
% 289.09/57.00 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 289.09/57.00 (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) |
% 289.09/57.00 ~ $i(v0) | ~ class_Fields_Olinordered__field(v2) | ? [v4: $i] :
% 289.09/57.00 (c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4) & ( ~
% 289.09/57.00 c_Orderings_Oord__class_Oless(v2, v4, v1) | ~
% 289.09/57.00 c_Orderings_Oord__class_Oless(v2, v4, v0) |
% 289.09/57.00 c_Orderings_Oord__class_Oless(v2, v4, v3))))
% 289.09/57.00
% 289.09/57.00 (fact_divisors__zero)
% 289.09/57.00 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 289.09/57.00 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5)
% 289.09/57.00 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 289.09/57.00 class_Rings_Ono__zero__divisors(v2) | ? [v6: $i] :
% 289.09/57.00 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~ (v6 = v5) | v5 = v1 |
% 289.09/57.00 v5 = v0)))
% 289.09/57.00
% 289.09/57.00 (fact_eq__0__number__of)
% 289.09/57.00 $i(tc_Int_Oint) & $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] :
% 289.09/57.00 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) & ! [v1: $i] : !
% 289.09/57.00 [v2: $i] : (v2 = v0 | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1)
% 289.09/57.00 = v2) | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 289.09/57.00 v1, c_Int_OPls)) & ! [v1: $i] : ( ~
% 289.09/57.00 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v0) | ~ $i(v1) |
% 289.09/57.00 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, c_Int_OPls)))
% 289.09/57.00
% 289.09/57.00 (fact_eq__divide__2__times__iff)
% 289.09/57.01 $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 289.09/57.01 $i] : ? [v3: $i] : ? [v4: $i] :
% 289.09/57.01 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 289.09/57.01 c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 289.09/57.01 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 & hAPP(v0, v3) =
% 289.09/57.01 v4 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i]
% 289.09/57.01 : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : (v10 = v7 | ~
% 289.09/57.01 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v6, v9) = v10) | ~
% 289.09/57.01 (hAPP(v4, v7) = v8) | ~ (hAPP(v4, v5) = v9) | ~ $i(v7) | ~ $i(v6) | ~
% 289.09/57.01 $i(v5) | ? [v11: $i] : ( ~ (v11 = v8) &
% 289.09/57.01 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v6, v5) = v11 &
% 289.09/57.01 $i(v11))) & ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : !
% 289.09/57.01 [v9: $i] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v6, v8) =
% 289.09/57.01 v7) | ~ (hAPP(v4, v7) = v9) | ~ (hAPP(v4, v5) = v8) | ~ $i(v7) | ~
% 289.09/57.01 $i(v6) | ~ $i(v5) | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 289.09/57.01 v6, v5) = v9 & $i(v9))))
% 289.09/57.01
% 289.09/57.01 (fact_eq__number__of__0)
% 289.09/57.01 $i(tc_Int_Oint) & $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] :
% 289.09/57.01 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) & ! [v1: $i] : !
% 289.09/57.01 [v2: $i] : (v2 = v0 | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1)
% 289.09/57.01 = v2) | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 289.09/57.01 v1, c_Int_OPls)) & ! [v1: $i] : ( ~
% 289.09/57.01 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v0) | ~ $i(v1) |
% 289.09/57.01 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, c_Int_OPls)))
% 289.09/57.01
% 289.09/57.01 (fact_eq__number__of__Pls__Min)
% 289.09/57.01 $i(tc_Int_Oint) & $i(c_Int_OMin) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i]
% 289.09/57.01 : ( ~ (v1 = v0) & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OMin) =
% 289.09/57.01 v1 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls) = v0 & $i(v1)
% 289.09/57.01 & $i(v0))
% 289.09/57.01
% 289.09/57.01 (fact_even__power__le__0__imp__0)
% 289.09/57.01 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.09/57.01 ? [v3: $i] : ? [v4: $i] : (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 289.09/57.01 c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 289.09/57.01 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & hAPP(v0, v3) = v4 &
% 289.09/57.01 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : !
% 289.09/57.01 [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~
% 289.09/57.01 (c_Power_Opower__class_Opower(v7) = v8) | ~ (hAPP(v9, v10) = v11) | ~
% 289.09/57.01 (hAPP(v8, v6) = v9) | ~ (hAPP(v4, v5) = v10) | ~ $i(v7) | ~ $i(v6) | ~
% 289.09/57.01 $i(v5) | ~ class_Rings_Olinordered__idom(v7) | ? [v12: $i] :
% 289.09/57.01 (c_Groups_Ozero__class_Ozero(v7) = v12 & $i(v12) & (v12 = v6 | ~
% 289.09/57.01 c_Orderings_Oord__class_Oless__eq(v7, v11, v12)))))
% 289.09/57.01
% 289.09/57.01 (fact_field__power__not__zero)
% 289.09/57.01 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 289.09/57.01 $i] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v0) = v5) |
% 289.09/57.01 ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 289.09/57.01 class_Rings_Oring__1__no__zero__divisors(v2) | ? [v6: $i] :
% 289.09/57.01 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~ (v6 = v5) | v5 = v1)))
% 289.09/57.01
% 289.09/57.01 (fact_four__x__squared)
% 289.09/57.01 $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ?
% 289.09/57.01 [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i]
% 289.09/57.01 : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 289.09/57.01 (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v6 &
% 289.09/57.01 c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 289.09/57.01 c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v2) = v3 & c_Int_OBit0(v1) = v2 &
% 289.09/57.01 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v7 &
% 289.09/57.01 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v3) = v4 &
% 289.09/57.01 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v8 & hAPP(v0, v8) =
% 289.09/57.01 v9 & hAPP(v0, v4) = v5 & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4)
% 289.09/57.01 & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v10: $i] : ! [v11: $i] : ( ~
% 289.09/57.01 (hAPP(v9, v10) = v11) | ~ $i(v10) | ? [v12: $i] : ? [v13: $i] : ?
% 289.09/57.01 [v14: $i] : ? [v15: $i] : (hAPP(v15, v7) = v14 & hAPP(v12, v7) = v13 &
% 289.09/57.01 hAPP(v6, v11) = v15 & hAPP(v6, v10) = v12 & hAPP(v5, v13) = v14 &
% 289.09/57.01 $i(v15) & $i(v14) & $i(v13) & $i(v12))))
% 289.09/57.01
% 289.09/57.01 (fact_gr0__conv__Suc)
% 289.09/57.01 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 289.09/57.01 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (c_Nat_OSuc(v2) = v1) | ~ $i(v2)
% 289.09/57.01 | ~ $i(v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1)) & !
% 289.09/57.01 [v1: $i] : ( ~ $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0,
% 289.09/57.01 v1) | ? [v2: $i] : (c_Nat_OSuc(v2) = v1 & $i(v2))))
% 289.09/57.01
% 289.09/57.01 (fact_gr__implies__not0)
% 289.09/57.02 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 289.09/57.02 & $i(v0) & ! [v1: $i] : ( ~ $i(v1) | ~
% 289.09/57.02 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0)))
% 289.09/57.02
% 289.09/57.02 (fact_half)
% 289.09/57.02 $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 289.09/57.02 c_Int_OBit0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4:
% 289.09/57.02 $i] : ! [v5: $i] : ( ~ (c_Rings_Oinverse__class_Odivide(v2, v3, v4) = v5)
% 289.09/57.02 | ~ (c_Int_Onumber__class_Onumber__of(v2, v1) = v4) | ~
% 289.09/57.02 (c_Groups_Oone__class_Oone(v2) = v3) | ~ $i(v2) | ~
% 289.09/57.02 class_Fields_Olinordered__field__inverse__zero(v2) | ~
% 289.09/57.02 class_Int_Onumber__ring(v2) | ? [v6: $i] :
% 289.09/57.02 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) &
% 289.09/57.02 c_Orderings_Oord__class_Oless(v2, v6, v5))))
% 289.09/57.02
% 289.09/57.02 (fact_half__gt__zero)
% 289.09/57.02 $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 289.09/57.02 c_Int_OBit0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4:
% 289.09/57.02 $i] : ! [v5: $i] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v2, v4) = v5)
% 289.09/57.02 | ~ (c_Int_Onumber__class_Onumber__of(v3, v1) = v4) | ~ $i(v3) | ~
% 289.09/57.02 $i(v2) | ~ class_Fields_Olinordered__field__inverse__zero(v3) | ~
% 289.09/57.02 class_Int_Onumber__ring(v3) | ? [v6: $i] :
% 289.09/57.02 (c_Groups_Ozero__class_Ozero(v3) = v6 & $i(v6) & ( ~
% 289.09/57.02 c_Orderings_Oord__class_Oless(v3, v6, v2) |
% 289.09/57.02 c_Orderings_Oord__class_Oless(v3, v6, v5)))))
% 289.09/57.02
% 289.09/57.02 (fact_half__gt__zero__iff)
% 289.09/57.02 $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 289.09/57.02 c_Int_OBit0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4:
% 289.09/57.02 $i] : ! [v5: $i] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v2, v4) = v5)
% 289.09/57.02 | ~ (c_Int_Onumber__class_Onumber__of(v3, v1) = v4) | ~ $i(v3) | ~
% 289.09/57.02 $i(v2) | ~ class_Fields_Olinordered__field__inverse__zero(v3) | ~
% 289.09/57.02 class_Int_Onumber__ring(v3) | ? [v6: $i] :
% 289.09/57.02 (c_Groups_Ozero__class_Ozero(v3) = v6 & $i(v6) & ( ~
% 289.09/57.02 c_Orderings_Oord__class_Oless(v3, v6, v5) |
% 289.09/57.02 c_Orderings_Oord__class_Oless(v3, v6, v2)) & ( ~
% 289.09/57.02 c_Orderings_Oord__class_Oless(v3, v6, v2) |
% 289.09/57.02 c_Orderings_Oord__class_Oless(v3, v6, v5)))))
% 289.09/57.02
% 289.09/57.02 (fact_i__def)
% 289.09/57.02 $i(c_Complex_Oii) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 289.09/57.02 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 289.09/57.02 c_Complex_Ocomplex_OComplex(v0, v1) = c_Complex_Oii &
% 289.09/57.02 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0))
% 289.09/57.02
% 289.09/57.02 (fact_int__0__less__1)
% 289.09/57.02 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] :
% 289.09/57.02 (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 &
% 289.09/57.02 c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 & $i(v1) & $i(v0) &
% 289.09/57.02 c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1))
% 289.09/57.02
% 289.09/57.02 (fact_int__0__neq__1)
% 289.09/57.02 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) &
% 289.09/57.02 c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 &
% 289.09/57.02 c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 & $i(v1) & $i(v0))
% 289.09/57.02
% 289.09/57.02 (fact_le0)
% 289.09/57.02 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 289.09/57.02 & $i(v0) & ? [v1: $i] : ( ~ $i(v1) |
% 289.09/57.02 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v1)))
% 289.09/57.02
% 289.09/57.02 (fact_le__real__sqrt__sumsq)
% 289.09/57.03 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 289.09/57.03 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 289.09/57.03 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 289.09/57.03 [v7: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v6) = v7)
% 289.09/57.03 | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(v0, v2) = v3)
% 289.09/57.03 | ~ (hAPP(v0, v1) = v5) | ~ $i(v2) | ~ $i(v1) | ? [v8: $i] :
% 289.09/57.03 (c_NthRoot_Osqrt(v7) = v8 & $i(v8) &
% 289.09/57.03 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v8))))
% 289.09/57.03
% 289.09/57.03 (fact_le__special_I1_J)
% 289.09/57.03 $i(tc_Int_Oint) & $i(c_Int_OPls) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (
% 289.09/57.03 ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) |
% 289.09/57.03 ~ class_Int_Onumber__ring(v1) | ~ class_Rings_Olinordered__idom(v1) | ?
% 289.09/57.03 [v3: $i] : (( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls,
% 289.09/57.03 v0) | (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) &
% 289.09/57.03 c_Orderings_Oord__class_Oless__eq(v1, v3, v2))) &
% 289.09/57.03 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0) |
% 289.09/57.03 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ~
% 289.09/57.03 c_Orderings_Oord__class_Oless__eq(v1, v3, v2)))))
% 289.09/57.03
% 289.09/57.03 (fact_le__special_I2_J)
% 289.09/57.03 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0
% 289.09/57.03 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 289.09/57.03 (c_Int_Onumber__class_Onumber__of(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) |
% 289.09/57.03 ~ class_Int_Onumber__ring(v2) | ~ class_Rings_Olinordered__idom(v2) | ?
% 289.09/57.03 [v4: $i] : (( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) |
% 289.09/57.03 (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) &
% 289.09/57.03 c_Orderings_Oord__class_Oless__eq(v2, v4, v3))) &
% 289.09/57.03 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) |
% 289.09/57.03 (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) & ~
% 289.09/57.03 c_Orderings_Oord__class_Oless__eq(v2, v4, v3))))))
% 289.09/57.03
% 289.09/57.03 (fact_le__special_I3_J)
% 289.09/57.03 $i(tc_Int_Oint) & $i(c_Int_OPls) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (
% 289.09/57.03 ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) |
% 289.09/57.03 ~ class_Int_Onumber__ring(v1) | ~ class_Rings_Olinordered__idom(v1) | ?
% 289.09/57.03 [v3: $i] : (( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0,
% 289.09/57.03 c_Int_OPls) | (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) &
% 289.09/57.03 c_Orderings_Oord__class_Oless__eq(v1, v2, v3))) &
% 289.09/57.03 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, c_Int_OPls) |
% 289.09/57.03 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ~
% 289.09/57.03 c_Orderings_Oord__class_Oless__eq(v1, v2, v3)))))
% 289.09/57.03
% 289.09/57.03 (fact_le__special_I4_J)
% 289.09/57.03 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0
% 289.09/57.03 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 289.09/57.03 (c_Int_Onumber__class_Onumber__of(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) |
% 289.09/57.03 ~ class_Int_Onumber__ring(v2) | ~ class_Rings_Olinordered__idom(v2) | ?
% 289.09/57.03 [v4: $i] : (( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) |
% 289.09/57.03 (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) &
% 289.09/57.03 c_Orderings_Oord__class_Oless__eq(v2, v3, v4))) &
% 289.09/57.03 (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) |
% 289.09/57.03 (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) & ~
% 289.09/57.03 c_Orderings_Oord__class_Oless__eq(v2, v3, v4))))))
% 289.09/57.03
% 289.09/57.03 (fact_lemma__MVT)
% 289.09/57.03 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 289.09/57.03 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 289.09/57.03 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 289.09/57.03 [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~
% 289.09/57.03 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v6, v7) = v8) | ~
% 289.09/57.03 (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v5, v10) = v11) | ~
% 289.09/57.03 (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v5, v4) = v6) | ~
% 289.09/57.03 (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v1, v2) = v7) | ~
% 289.09/57.03 (hAPP(v9, v1) = v10) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(v3, v1) = v5) |
% 289.09/57.03 ~ (hAPP(v0, v8) = v9) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v12: $i] :
% 289.09/57.03 (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v4, v12) = v11 & hAPP(v9,
% 289.09/57.03 v2) = v12 & $i(v12) & $i(v11))))
% 289.09/57.03
% 289.09/57.03 (fact_lemma__real__divide__sqrt__less)
% 289.09/57.03 $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 289.09/57.03 $i] : ? [v3: $i] : ? [v4: $i] : (c_NthRoot_Osqrt(v3) = v4 &
% 289.09/57.03 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & c_Int_OBit1(c_Int_OPls)
% 289.09/57.03 = v1 & c_Int_OBit0(v1) = v2 &
% 289.09/57.03 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 & $i(v4) &
% 289.09/57.03 $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : ( ~
% 289.09/57.03 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v4) = v6) | ~
% 289.09/57.03 $i(v5) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v5) |
% 289.09/57.03 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v5)))
% 289.09/57.03
% 289.09/57.03 (fact_lemma__sqrt__hcomplex__capprox)
% 289.09/57.04 $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ?
% 289.09/57.04 [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 289.09/57.04 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 289.09/57.04 c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v4 &
% 289.09/57.04 c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 289.09/57.04 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v5 &
% 289.09/57.04 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 & $i(v5) &
% 289.09/57.04 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v6: $i] : ! [v7: $i] : !
% 289.09/57.04 [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ! [v12: $i] : !
% 289.09/57.04 [v13: $i] : ! [v14: $i] : ( ~
% 289.09/57.04 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v8, v3) = v9) | ~
% 289.09/57.04 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v11, v13) = v14) | ~
% 289.09/57.04 (hAPP(v12, v5) = v13) | ~ (hAPP(v10, v5) = v11) | ~ (hAPP(v4, v7) = v10)
% 289.09/57.04 | ~ (hAPP(v4, v6) = v12) | ~ $i(v8) | ~ $i(v7) | ~ $i(v6) | ~
% 289.09/57.04 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7, v9) | ~
% 289.09/57.04 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v9) | ~
% 289.09/57.04 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v8) | ~
% 289.09/57.04 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v7) | ~
% 289.09/57.04 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v6) | ? [v15: $i]
% 289.09/57.04 : (c_NthRoot_Osqrt(v14) = v15 & $i(v15) &
% 289.09/57.04 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v15, v8))))
% 289.09/57.04
% 289.09/57.04 (fact_less__0__number__of)
% 289.09/57.04 $i(tc_Int_Oint) & $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] :
% 289.09/57.04 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0) & ! [v1: $i] : !
% 289.09/57.04 [v2: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~
% 289.09/57.04 $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v1) |
% 289.09/57.04 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2)) & ! [v1: $i] : !
% 289.09/57.04 [v2: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~
% 289.09/57.04 $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) |
% 289.09/57.04 c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v1)))
% 289.09/57.04
% 289.09/57.04 (fact_less__Suc0)
% 289.09/57.04 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 289.09/57.04 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & c_Nat_OSuc(v0) = v1 & $i(v1)
% 289.09/57.04 & $i(v0) & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) & ! [v2: $i]
% 289.09/57.04 : (v2 = v0 | ~ $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2,
% 289.09/57.04 v1)))
% 289.09/57.04
% 289.09/57.04 (fact_less__Suc__eq__0__disj)
% 289.09/57.04 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 289.09/57.04 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 289.09/57.04 (c_Nat_OSuc(v4) = v2) | ~ (c_Nat_OSuc(v1) = v3) | ~ $i(v4) | ~ $i(v2) |
% 289.09/57.04 ~ $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v1) |
% 289.09/57.04 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v3)) & ! [v1: $i] : !
% 289.09/57.04 [v2: $i] : ! [v3: $i] : (v2 = v0 | ~ (c_Nat_OSuc(v1) = v3) | ~ $i(v2) |
% 289.09/57.04 ~ $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v3) | ? [v4:
% 289.09/57.04 $i] : (c_Nat_OSuc(v4) = v2 & $i(v4) &
% 289.09/57.04 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v1))) & ! [v1: $i] : !
% 289.09/57.04 [v2: $i] : ( ~ (c_Nat_OSuc(v1) = v2) | ~ $i(v1) |
% 289.09/57.04 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2)))
% 289.09/57.04
% 289.09/57.04 (fact_less__eq__nat_Osimps_I1_J)
% 289.09/57.04 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 289.09/57.04 & $i(v0) & ? [v1: $i] : ( ~ $i(v1) |
% 289.09/57.04 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v1)))
% 289.09/57.04
% 289.09/57.04 (fact_less__eq__number__of__int__code)
% 289.09/57.04 $i(tc_Int_Oint) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 289.09/57.04 (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v2) | ~
% 289.09/57.04 (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v3) | ~ $i(v1) | ~
% 289.09/57.04 $i(v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v3) |
% 289.09/57.04 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0)) & ! [v0: $i] : !
% 289.09/57.04 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 289.09/57.04 (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v2) | ~
% 289.09/57.04 (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v3) | ~ $i(v1) | ~
% 289.09/57.04 $i(v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) |
% 289.09/57.04 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v3))
% 289.09/57.04
% 289.09/57.04 (fact_less__le__not__le)
% 289.09/57.04 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 289.09/57.04 ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | ~
% 289.09/57.04 class_Orderings_Opreorder(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0,
% 289.09/57.04 v1)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) |
% 289.09/57.04 ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | ~
% 289.09/57.04 class_Orderings_Opreorder(v2) | c_Orderings_Oord__class_Oless__eq(v2, v1,
% 289.09/57.04 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) |
% 289.09/57.04 ~ $i(v0) | ~ class_Orderings_Opreorder(v2) | ~
% 289.09/57.04 c_Orderings_Oord__class_Oless__eq(v2, v1, v0) |
% 289.09/57.04 c_Orderings_Oord__class_Oless(v2, v1, v0) |
% 289.09/57.04 c_Orderings_Oord__class_Oless__eq(v2, v0, v1))
% 289.09/57.04
% 289.09/57.04 (fact_less__nat__zero__code)
% 289.09/57.04 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 289.09/57.04 & $i(v0) & ! [v1: $i] : ( ~ $i(v1) | ~
% 289.09/57.04 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0)))
% 289.09/57.04
% 289.09/57.04 (fact_less__one__imp__sqr__less__one)
% 289.09/57.04 $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ?
% 289.09/57.04 [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 289.09/57.04 (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v1 & c_Int_OBit1(c_Int_OPls)
% 289.09/57.04 = v2 & c_Int_OBit0(v2) = v3 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 289.09/57.04 v3) = v4 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v4) &
% 289.09/57.04 $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : ( ~
% 289.09/57.04 (hAPP(v1, v5) = v6) | ~ $i(v5) | ? [v7: $i] : ? [v8: $i] :
% 289.09/57.04 ((c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v5) = v7 & $i(v7) & ~
% 289.09/57.04 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7, v0)) | (hAPP(v6,
% 289.09/57.04 v4) = v8 & $i(v8) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 289.09/57.04 v8, v0)))))
% 289.09/57.04
% 289.09/57.04 (fact_less__special_I2_J)
% 289.09/57.04 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0
% 289.09/57.04 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 289.09/57.04 (c_Int_Onumber__class_Onumber__of(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) |
% 289.09/57.04 ~ class_Int_Onumber__ring(v2) | ~ class_Rings_Olinordered__idom(v2) | ?
% 289.09/57.04 [v4: $i] : (( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1) |
% 289.09/57.04 (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) &
% 289.09/57.04 c_Orderings_Oord__class_Oless(v2, v4, v3))) &
% 289.09/57.04 (c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1) |
% 289.09/57.04 (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) & ~
% 289.09/57.04 c_Orderings_Oord__class_Oless(v2, v4, v3))))))
% 289.09/57.04
% 289.09/57.04 (fact_less__special_I3_J)
% 289.09/57.04 $i(tc_Int_Oint) & $i(c_Int_OPls) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (
% 289.09/57.04 ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) |
% 289.09/57.04 ~ class_Int_Onumber__ring(v1) | ~ class_Rings_Olinordered__idom(v1) | ?
% 289.09/57.04 [v3: $i] : (( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, c_Int_OPls) |
% 289.09/57.04 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) &
% 289.09/57.04 c_Orderings_Oord__class_Oless(v1, v2, v3))) &
% 289.09/57.04 (c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, c_Int_OPls) |
% 289.09/57.04 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ~
% 289.09/57.04 c_Orderings_Oord__class_Oless(v1, v2, v3)))))
% 289.09/57.04
% 289.09/57.04 (fact_less__special_I4_J)
% 289.09/57.05 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0
% 289.09/57.05 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 289.09/57.05 (c_Int_Onumber__class_Onumber__of(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) |
% 289.09/57.05 ~ class_Int_Onumber__ring(v2) | ~ class_Rings_Olinordered__idom(v2) | ?
% 289.09/57.05 [v4: $i] : (( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) |
% 289.09/57.05 (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) &
% 289.09/57.05 c_Orderings_Oord__class_Oless(v2, v3, v4))) &
% 289.09/57.05 (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) |
% 289.09/57.05 (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) & ~
% 289.09/57.05 c_Orderings_Oord__class_Oless(v2, v3, v4))))))
% 289.09/57.05
% 289.09/57.05 (fact_less__zeroE)
% 289.09/57.05 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 289.09/57.05 & $i(v0) & ! [v1: $i] : ( ~ $i(v1) | ~
% 289.09/57.05 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0)))
% 289.09/57.05
% 289.09/57.05 (fact_machin)
% 289.09/57.05 $i(c_Transcendental_Opi) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i]
% 289.09/57.05 : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ?
% 289.09/57.05 [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11:
% 289.09/57.05 $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16:
% 289.09/57.05 $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21:
% 289.09/57.05 $i] : ? [v22: $i] : (c_Transcendental_Oarctan(v21) = v22 &
% 289.09/57.05 c_Transcendental_Oarctan(v10) = v11 &
% 289.09/57.05 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v7, v20) = v21 &
% 289.09/57.05 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v7, v9) = v10 &
% 289.09/57.05 c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, c_Transcendental_Opi, v3)
% 289.09/57.05 = v4 & c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v12, v22) = v4 &
% 289.09/57.05 c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v5 & c_Int_OBit1(v18) =
% 289.09/57.05 v19 & c_Int_OBit1(v17) = v18 & c_Int_OBit1(v16) = v17 & c_Int_OBit1(v15) =
% 289.09/57.05 v16 & c_Int_OBit1(v13) = v14 & c_Int_OBit1(v1) = v8 & c_Int_OBit1(v0) = v13
% 289.09/57.05 & c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v14) = v15 & c_Int_OBit0(v1) =
% 289.09/57.05 v2 & c_Int_OBit0(v0) = v1 &
% 289.09/57.05 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v19) = v20 &
% 289.09/57.05 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v8) = v9 &
% 289.09/57.05 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 289.09/57.05 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v7 & hAPP(v6, v11) = v12 &
% 289.09/57.05 hAPP(v5, v3) = v6 & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) &
% 289.09/57.05 $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) &
% 289.09/57.05 $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 289.09/57.05 $i(v2) & $i(v1) & $i(v0))
% 289.09/57.05
% 289.09/57.05 (fact_minus__nat_Odiff__0)
% 289.09/57.05 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 289.09/57.05 & $i(v0) & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~
% 289.09/57.05 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v2) | ~ $i(v1)))
% 289.09/57.05
% 289.09/57.05 (fact_mult__0)
% 289.09/57.05 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.09/57.05 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 &
% 289.09/57.05 c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 & hAPP(v0, v1) = v2 & $i(v2)
% 289.09/57.05 & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : (v4 = v1 | ~ (hAPP(v2, v3)
% 289.09/57.05 = v4) | ~ $i(v3)))
% 289.09/57.05
% 289.09/57.05 (fact_mult__2)
% 289.09/57.05 $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 289.09/57.05 c_Int_OBit0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4:
% 289.09/57.05 $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 289.09/57.05 (c_Groups_Otimes__class_Otimes(v3) = v4) | ~
% 289.09/57.05 (c_Int_Onumber__class_Onumber__of(v3, v1) = v5) | ~ (hAPP(v6, v2) = v7) |
% 289.09/57.05 ~ (hAPP(v4, v5) = v6) | ~ $i(v3) | ~ $i(v2) | ~
% 289.09/57.05 class_Int_Onumber__ring(v3) | (c_Groups_Oplus__class_Oplus(v3, v2, v2) =
% 289.09/57.05 v7 & $i(v7))))
% 289.09/57.05
% 289.09/57.05 (fact_mult__2__right)
% 289.09/57.05 $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 289.09/57.05 c_Int_OBit0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4:
% 289.09/57.05 $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 289.09/57.05 (c_Groups_Otimes__class_Otimes(v3) = v4) | ~
% 289.09/57.05 (c_Int_Onumber__class_Onumber__of(v3, v1) = v6) | ~ (hAPP(v5, v6) = v7) |
% 289.09/57.05 ~ (hAPP(v4, v2) = v5) | ~ $i(v3) | ~ $i(v2) | ~
% 289.09/57.05 class_Int_Onumber__ring(v3) | (c_Groups_Oplus__class_Oplus(v3, v2, v2) =
% 289.09/57.05 v7 & $i(v7))))
% 289.09/57.05
% 289.09/57.05 (fact_mult__cancel1)
% 289.09/57.05 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 289.09/57.05 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 &
% 289.09/57.05 c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 & $i(v1) & $i(v0) & ! [v2:
% 289.09/57.05 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v6 = v5 |
% 289.09/57.05 ~ (hAPP(v4, v3) = v5) | ~ (hAPP(v4, v2) = v6) | ~ (hAPP(v0, v1) = v4) |
% 289.09/57.05 ~ $i(v3) | ~ $i(v2)) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 289.09/57.05 $i] : ! [v6: $i] : (v4 = v1 | v3 = v2 | ~ (hAPP(v5, v3) = v6) | ~
% 289.09/57.05 (hAPP(v5, v2) = v6) | ~ (hAPP(v0, v4) = v5) | ~ $i(v4) | ~ $i(v3) | ~
% 289.09/57.05 $i(v2)))
% 289.09/57.05
% 289.09/57.05 (fact_mult__cancel2)
% 289.09/57.05 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 289.09/57.05 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 &
% 289.09/57.05 c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 & $i(v1) & $i(v0) & ! [v2:
% 289.09/57.05 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 289.09/57.05 : (v7 = v5 | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v0,
% 289.09/57.05 v3) = v4) | ~ (hAPP(v0, v2) = v6) | ~ $i(v3) | ~ $i(v2)) & ! [v2:
% 289.09/57.05 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 289.09/57.05 : (v4 = v2 | v3 = v1 | ~ (hAPP(v7, v3) = v6) | ~ (hAPP(v5, v3) = v6) | ~
% 289.09/57.05 (hAPP(v0, v4) = v5) | ~ (hAPP(v0, v2) = v7) | ~ $i(v4) | ~ $i(v3) | ~
% 289.09/57.06 $i(v2)))
% 289.09/57.06
% 289.09/57.06 (fact_mult__eq__0__iff)
% 289.09/57.06 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 289.09/57.06 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5)
% 289.09/57.06 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 289.09/57.06 class_Rings_Oring__no__zero__divisors(v2) | ? [v6: $i] :
% 289.09/57.06 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~ (v6 = v5) | v5 = v1 |
% 289.09/57.06 v5 = v0) & (v6 = v5 | ( ~ (v6 = v1) & ~ (v6 = v0)))))
% 289.09/57.06
% 289.09/57.06 (fact_mult__eq__1__iff)
% 289.09/57.06 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.09/57.06 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 & c_Nat_OSuc(v1) = v2 &
% 289.09/57.06 c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 & $i(v2) & $i(v1) & $i(v0) &
% 289.09/57.06 ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v4 = v2 | ~ (hAPP(v5, v3) = v2)
% 289.09/57.06 | ~ (hAPP(v0, v4) = v5) | ~ $i(v4) | ~ $i(v3)) & ! [v3: $i] : ! [v4:
% 289.09/57.06 $i] : ! [v5: $i] : (v3 = v2 | ~ (hAPP(v5, v3) = v2) | ~ (hAPP(v0, v4) =
% 289.09/57.06 v5) | ~ $i(v4) | ~ $i(v3)) & ! [v3: $i] : ! [v4: $i] : (v4 = v2 | ~
% 289.09/57.06 (hAPP(v3, v2) = v4) | ~ (hAPP(v0, v2) = v3)))
% 289.09/57.06
% 289.09/57.06 (fact_mult__eq__if)
% 289.09/57.06 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.09/57.06 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 &
% 289.09/57.06 c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v1 &
% 289.09/57.06 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v2 & $i(v2) & $i(v1) & $i(v0) & !
% 289.09/57.06 [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8:
% 289.09/57.06 $i] : (v4 = v0 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v4, v2) =
% 289.09/57.06 v5) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v7) = v8) | ~
% 289.09/57.06 (hAPP(v6, v3) = v7) | ~ (hAPP(v1, v5) = v6) | ~ $i(v4) | ~ $i(v3) | ?
% 289.09/57.06 [v9: $i] : (hAPP(v9, v3) = v8 & hAPP(v1, v4) = v9 & $i(v9) & $i(v8))) & !
% 289.09/57.06 [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 = v0 | ~ (hAPP(v4, v3) = v5) |
% 289.09/57.06 ~ (hAPP(v1, v0) = v4) | ~ $i(v3)))
% 289.09/57.06
% 289.09/57.06 (fact_mult__eq__self__implies__10)
% 289.09/57.06 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.09/57.06 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v2 &
% 289.09/57.06 c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 289.09/57.06 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v2) & $i(v1) & $i(v0) & !
% 289.09/57.06 [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v4 = v2 | v3 = v1 | ~ (hAPP(v5, v3)
% 289.09/57.06 = v4) | ~ (hAPP(v0, v4) = v5) | ~ $i(v4) | ~ $i(v3)))
% 289.09/57.06
% 289.09/57.06 (fact_mult__is__0)
% 289.09/57.06 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 289.09/57.06 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 &
% 289.09/57.06 c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 & $i(v1) & $i(v0) & ! [v2:
% 289.09/57.06 $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v1 | ~ (hAPP(v3, v2) = v4) | ~
% 289.09/57.06 (hAPP(v0, v1) = v3) | ~ $i(v2)) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i]
% 289.09/57.06 : (v4 = v1 | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v0, v2) = v3) | ~ $i(v2)) &
% 289.09/57.06 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v3 = v1 | v2 = v1 | ~ (hAPP(v4,
% 289.09/57.06 v2) = v1) | ~ (hAPP(v0, v3) = v4) | ~ $i(v3) | ~ $i(v2)))
% 289.09/57.06
% 289.09/57.06 (fact_mult__le__0__iff)
% 289.09/57.06 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 289.09/57.06 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5)
% 289.09/57.06 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 289.09/57.06 class_Rings_Olinordered__ring__strict(v2) | ? [v6: $i] :
% 289.09/57.06 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~
% 289.09/57.06 c_Orderings_Oord__class_Oless__eq(v2, v5, v6) |
% 289.09/57.06 (c_Orderings_Oord__class_Oless__eq(v2, v6, v1) &
% 289.09/57.06 c_Orderings_Oord__class_Oless__eq(v2, v0, v6)) |
% 289.09/57.06 (c_Orderings_Oord__class_Oless__eq(v2, v6, v0) &
% 289.09/57.06 c_Orderings_Oord__class_Oless__eq(v2, v1, v6))) &
% 289.09/57.06 (c_Orderings_Oord__class_Oless__eq(v2, v5, v6) | (( ~
% 289.09/57.06 c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | ~
% 289.09/57.06 c_Orderings_Oord__class_Oless__eq(v2, v0, v6)) & ( ~
% 289.09/57.06 c_Orderings_Oord__class_Oless__eq(v2, v6, v0) | ~
% 289.09/57.06 c_Orderings_Oord__class_Oless__eq(v2, v1, v6))))))
% 289.09/57.06
% 289.09/57.06 (fact_mult__less__cancel1)
% 289.09/57.06 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 289.09/57.06 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 &
% 289.09/57.06 c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 & $i(v1) & $i(v0) & ! [v2:
% 289.09/57.06 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 289.09/57.06 : ( ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v7) | ~ (hAPP(v0, v4) = v5)
% 289.09/57.06 | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 289.09/57.06 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v6, v7) |
% 289.09/57.06 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v2)) & ! [v2: $i] : !
% 289.09/57.06 [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 289.09/57.06 (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v7) | ~ (hAPP(v0, v4) = v5) | ~
% 289.09/57.06 $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 289.09/57.06 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v6, v7) |
% 289.09/57.06 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v4)) & ! [v2: $i] : !
% 289.09/57.06 [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 289.09/57.06 (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v7) | ~ (hAPP(v0, v4) = v5) | ~
% 289.09/57.06 $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 289.09/57.06 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v2) | ~
% 289.09/57.06 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v4) |
% 289.09/57.06 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v6, v7)))
% 289.09/57.06
% 289.09/57.06 (fact_mult__less__cancel2)
% 289.09/57.07 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 289.09/57.07 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 &
% 289.09/57.07 c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 & $i(v1) & $i(v0) & ! [v2:
% 289.09/57.07 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 289.09/57.07 : ! [v8: $i] : ( ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v5, v3) = v6) | ~
% 289.09/57.07 (hAPP(v0, v4) = v5) | ~ (hAPP(v0, v2) = v7) | ~ $i(v4) | ~ $i(v3) | ~
% 289.09/57.07 $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v6, v8) |
% 289.09/57.07 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v2)) & ! [v2: $i] : !
% 289.09/57.07 [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8:
% 289.09/57.07 $i] : ( ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v0, v4)
% 289.09/57.07 = v5) | ~ (hAPP(v0, v2) = v7) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 289.09/57.07 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v6, v8) |
% 289.09/57.07 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v3)) & ! [v2: $i] : !
% 289.09/57.07 [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8:
% 289.09/57.07 $i] : ( ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v0, v4)
% 289.09/57.07 = v5) | ~ (hAPP(v0, v2) = v7) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 289.09/57.07 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v2) | ~
% 289.09/57.07 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v3) |
% 289.09/57.07 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v6, v8)))
% 289.09/57.07
% 289.09/57.07 (fact_mult__less__mono1)
% 289.09/57.07 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 289.09/57.07 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 &
% 289.09/57.07 c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v1 & $i(v1) & $i(v0) & ! [v2:
% 289.09/57.07 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 289.09/57.07 : ! [v8: $i] : ( ~ (hAPP(v7, v2) = v8) | ~ (hAPP(v5, v2) = v6) | ~
% 289.09/57.07 (hAPP(v1, v4) = v5) | ~ (hAPP(v1, v3) = v7) | ~ $i(v4) | ~ $i(v3) | ~
% 289.09/57.07 $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v3) | ~
% 289.09/57.07 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) |
% 289.09/57.07 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v6, v8)))
% 289.09/57.07
% 289.09/57.07 (fact_mult__less__mono2)
% 289.09/57.07 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 289.09/57.07 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 &
% 289.09/57.07 c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v1 & $i(v1) & $i(v0) & ! [v2:
% 289.09/57.07 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 289.09/57.07 : ( ~ (hAPP(v5, v4) = v6) | ~ (hAPP(v5, v3) = v7) | ~ (hAPP(v1, v2) = v5)
% 289.09/57.07 | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 289.09/57.07 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v3) | ~
% 289.09/57.07 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) |
% 289.09/57.07 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v6, v7)))
% 289.09/57.07
% 289.09/57.07 (fact_mult__neg__neg)
% 289.09/57.07 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 289.09/57.07 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5)
% 289.09/57.07 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 289.09/57.07 class_Rings_Olinordered__ring__strict(v2) | ? [v6: $i] :
% 289.09/57.07 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~
% 289.09/57.07 c_Orderings_Oord__class_Oless(v2, v1, v6) | ~
% 289.09/57.07 c_Orderings_Oord__class_Oless(v2, v0, v6) |
% 289.09/57.07 c_Orderings_Oord__class_Oless(v2, v6, v5))))
% 289.09/57.07
% 289.09/57.07 (fact_mult__nonneg__nonneg)
% 289.09/57.07 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 289.09/57.07 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5)
% 289.09/57.07 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 289.09/57.07 class_Rings_Oordered__cancel__semiring(v2) | ? [v6: $i] :
% 289.09/57.07 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~
% 289.09/57.07 c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | ~
% 289.09/57.07 c_Orderings_Oord__class_Oless__eq(v2, v6, v0) |
% 289.09/57.07 c_Orderings_Oord__class_Oless__eq(v2, v6, v5))))
% 289.09/57.07
% 289.09/57.07 (fact_mult__nonneg__nonpos)
% 289.09/57.07 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 289.09/57.07 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5)
% 289.09/57.07 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 289.09/57.07 class_Rings_Oordered__cancel__semiring(v2) | ? [v6: $i] :
% 289.09/57.07 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~
% 289.09/57.07 c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | ~
% 289.09/57.07 c_Orderings_Oord__class_Oless__eq(v2, v0, v6) |
% 289.09/57.07 c_Orderings_Oord__class_Oless__eq(v2, v5, v6))))
% 289.09/57.07
% 289.09/57.07 (fact_mult__nonneg__nonpos2)
% 289.09/57.07 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 289.09/57.07 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v1) = v5)
% 289.09/57.07 | ~ (hAPP(v3, v0) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 289.09/57.07 class_Rings_Oordered__cancel__semiring(v2) | ? [v6: $i] :
% 289.09/57.07 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~
% 289.09/57.07 c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | ~
% 289.09/57.07 c_Orderings_Oord__class_Oless__eq(v2, v0, v6) |
% 289.09/57.07 c_Orderings_Oord__class_Oless__eq(v2, v5, v6))))
% 289.09/57.07
% 289.09/57.07 (fact_mult__nonpos__nonpos)
% 289.09/57.07 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 289.09/57.07 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5)
% 289.09/57.07 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 289.09/57.07 class_Rings_Oordered__ring(v2) | ? [v6: $i] :
% 289.09/57.07 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~
% 289.09/57.07 c_Orderings_Oord__class_Oless__eq(v2, v1, v6) | ~
% 289.09/57.07 c_Orderings_Oord__class_Oless__eq(v2, v0, v6) |
% 289.09/57.07 c_Orderings_Oord__class_Oless__eq(v2, v6, v5))))
% 289.09/57.07
% 289.09/57.07 (fact_mult__numeral__1)
% 289.09/57.07 $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & !
% 289.09/57.07 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 289.09/57.07 $i] : (v6 = v1 | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~
% 289.09/57.07 (c_Int_Onumber__class_Onumber__of(v2, v0) = v4) | ~ (hAPP(v5, v1) = v6) |
% 289.09/57.07 ~ (hAPP(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~
% 289.09/57.07 class_Int_Onumber__ring(v2)))
% 289.09/57.07
% 289.09/57.07 (fact_mult__numeral__1__right)
% 289.09/57.07 $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & !
% 289.09/57.07 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 289.09/57.07 $i] : (v6 = v1 | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~
% 289.09/57.07 (c_Int_Onumber__class_Onumber__of(v2, v0) = v5) | ~ (hAPP(v4, v5) = v6) |
% 289.09/57.07 ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 289.09/57.07 class_Int_Onumber__ring(v2)))
% 289.09/57.07
% 289.09/57.07 (fact_mult__pos__neg)
% 289.09/57.07 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 289.09/57.07 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5)
% 289.09/57.07 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 289.09/57.07 class_Rings_Olinordered__semiring__strict(v2) | ? [v6: $i] :
% 289.09/57.07 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~
% 289.09/57.07 c_Orderings_Oord__class_Oless(v2, v6, v1) | ~
% 289.09/57.07 c_Orderings_Oord__class_Oless(v2, v0, v6) |
% 289.09/57.07 c_Orderings_Oord__class_Oless(v2, v5, v6))))
% 289.09/57.07
% 289.09/57.07 (fact_mult__pos__neg2)
% 289.09/57.07 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 289.09/57.07 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v1) = v5)
% 289.09/57.07 | ~ (hAPP(v3, v0) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 289.09/57.07 class_Rings_Olinordered__semiring__strict(v2) | ? [v6: $i] :
% 289.09/57.07 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~
% 289.09/57.07 c_Orderings_Oord__class_Oless(v2, v6, v1) | ~
% 289.09/57.07 c_Orderings_Oord__class_Oless(v2, v0, v6) |
% 289.09/57.07 c_Orderings_Oord__class_Oless(v2, v5, v6))))
% 289.09/57.07
% 289.09/57.07 (fact_mult__pos__pos)
% 289.09/57.08 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 289.09/57.08 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5)
% 289.09/57.08 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 289.09/57.08 class_Rings_Olinordered__semiring__strict(v2) | ? [v6: $i] :
% 289.09/57.08 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~
% 289.09/57.08 c_Orderings_Oord__class_Oless(v2, v6, v1) | ~
% 289.09/57.08 c_Orderings_Oord__class_Oless(v2, v6, v0) |
% 289.09/57.08 c_Orderings_Oord__class_Oless(v2, v6, v5))))
% 289.09/57.08
% 289.09/57.08 (fact_nat_Osimps_I2_J)
% 289.09/57.08 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 289.09/57.08 & $i(v0) & ! [v1: $i] : ( ~ (c_Nat_OSuc(v1) = v0) | ~ $i(v1)))
% 289.09/57.08
% 289.09/57.08 (fact_nat_Osimps_I3_J)
% 289.09/57.08 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 289.09/57.08 & $i(v0) & ! [v1: $i] : ( ~ (c_Nat_OSuc(v1) = v0) | ~ $i(v1)))
% 289.09/57.08
% 289.09/57.08 (fact_nat__0__less__mult__iff)
% 289.09/57.08 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 289.09/57.08 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 &
% 289.09/57.08 c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v1 & $i(v1) & $i(v0) & ! [v2:
% 289.09/57.08 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v4, v2) = v5) |
% 289.09/57.08 ~ (hAPP(v1, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~
% 289.09/57.08 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v5) |
% 289.09/57.08 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3)) & ! [v2: $i] : !
% 289.09/57.08 [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v4, v2) = v5) | ~
% 289.09/57.08 (hAPP(v1, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~
% 289.09/57.08 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v5) |
% 289.09/57.08 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2)) & ! [v2: $i] : !
% 289.09/57.08 [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v4, v2) = v5) | ~
% 289.09/57.08 (hAPP(v1, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~
% 289.09/57.08 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) | ~
% 289.09/57.08 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) |
% 289.09/57.08 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v5)))
% 289.09/57.08
% 289.09/57.08 (fact_nat__1__add__1)
% 289.09/57.08 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.09/57.08 ? [v3: $i] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v0) = v1 &
% 289.09/57.08 c_Int_OBit1(c_Int_OPls) = v2 & c_Int_OBit0(v2) = v3 &
% 289.09/57.08 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v3) = v1 &
% 289.09/57.08 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v3) & $i(v2) & $i(v1) &
% 289.09/57.08 $i(v0))
% 289.09/57.08
% 289.09/57.08 (fact_nat__1__eq__mult__iff)
% 289.09/57.08 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 289.09/57.08 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v1 &
% 289.09/57.08 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v1) & $i(v0) & ! [v2: $i]
% 289.09/57.08 : ! [v3: $i] : ! [v4: $i] : (v3 = v0 | ~ (hAPP(v4, v2) = v0) | ~
% 289.09/57.08 (hAPP(v1, v3) = v4) | ~ $i(v3) | ~ $i(v2)) & ! [v2: $i] : ! [v3: $i] :
% 289.09/57.08 ! [v4: $i] : (v2 = v0 | ~ (hAPP(v4, v2) = v0) | ~ (hAPP(v1, v3) = v4) |
% 289.09/57.08 ~ $i(v3) | ~ $i(v2)) & ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 289.09/57.08 (hAPP(v2, v0) = v3) | ~ (hAPP(v1, v0) = v2)))
% 289.09/57.08
% 289.09/57.08 (fact_nat__lt__two__imp__zero__or__one)
% 289.09/57.08 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.09/57.08 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & c_Nat_OSuc(v1) = v2 &
% 289.09/57.08 c_Nat_OSuc(v0) = v1 & $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : (v3 = v1 | v3
% 289.09/57.08 = v0 | ~ $i(v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v2)))
% 289.09/57.08
% 289.09/57.08 (fact_nat__mult__1)
% 289.09/57.08 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.09/57.08 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 289.09/57.08 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & hAPP(v0, v1) = v2 & $i(v2) &
% 289.09/57.08 $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : (v4 = v3 | ~ (hAPP(v2, v3) =
% 289.09/57.08 v4) | ~ $i(v3)))
% 289.09/57.08
% 289.09/57.08 (fact_nat__mult__1__right)
% 289.09/57.08 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 289.09/57.08 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 289.09/57.08 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v1) & $i(v0) & ! [v2: $i]
% 289.09/57.08 : ! [v3: $i] : ( ~ (hAPP(v0, v2) = v3) | ~ $i(v2) | hAPP(v3, v1) = v2))
% 289.09/57.08
% 289.09/57.08 (fact_nat__mult__2)
% 289.09/57.08 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.09/57.08 ? [v3: $i] : ? [v4: $i] : (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 289.09/57.08 c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 289.09/57.08 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & hAPP(v0, v3) = v4 &
% 289.09/57.08 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : ( ~
% 289.09/57.08 (hAPP(v4, v5) = v6) | ~ $i(v5) |
% 289.09/57.08 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v5, v5) = v6 & $i(v6))))
% 289.09/57.08
% 289.09/57.08 (fact_nat__mult__2__right)
% 289.09/57.08 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.09/57.08 ? [v3: $i] : (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 289.09/57.08 c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 289.09/57.08 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & $i(v3) & $i(v2) &
% 289.09/57.08 $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v0, v4) = v5) | ~
% 289.09/57.08 $i(v4) | ? [v6: $i] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v4, v4) =
% 289.09/57.08 v6 & hAPP(v5, v3) = v6 & $i(v6))))
% 289.09/57.08
% 289.09/57.08 (fact_nat__mult__eq__1__iff)
% 289.09/57.08 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 289.09/57.08 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 289.09/57.08 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v1) & $i(v0) & ! [v2: $i]
% 289.09/57.08 : ! [v3: $i] : ! [v4: $i] : (v3 = v1 | ~ (hAPP(v4, v2) = v1) | ~
% 289.09/57.08 (hAPP(v0, v3) = v4) | ~ $i(v3) | ~ $i(v2)) & ! [v2: $i] : ! [v3: $i] :
% 289.09/57.08 ! [v4: $i] : (v2 = v1 | ~ (hAPP(v4, v2) = v1) | ~ (hAPP(v0, v3) = v4) |
% 289.09/57.08 ~ $i(v3) | ~ $i(v2)) & ! [v2: $i] : ! [v3: $i] : (v3 = v1 | ~
% 289.09/57.08 (hAPP(v2, v1) = v3) | ~ (hAPP(v0, v1) = v2)))
% 289.09/57.08
% 289.09/57.08 (fact_nat__mult__eq__cancel__disj)
% 289.09/57.09 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 289.09/57.09 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 &
% 289.09/57.09 c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 & $i(v1) & $i(v0) & ! [v2:
% 289.09/57.09 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v6 = v5 |
% 289.09/57.09 ~ (hAPP(v4, v3) = v5) | ~ (hAPP(v4, v2) = v6) | ~ (hAPP(v0, v1) = v4) |
% 289.09/57.09 ~ $i(v3) | ~ $i(v2)) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 289.09/57.09 $i] : ! [v6: $i] : (v4 = v1 | v3 = v2 | ~ (hAPP(v5, v3) = v6) | ~
% 289.09/57.09 (hAPP(v5, v2) = v6) | ~ (hAPP(v0, v4) = v5) | ~ $i(v4) | ~ $i(v3) | ~
% 289.09/57.09 $i(v2)))
% 289.09/57.09
% 289.09/57.09 (fact_nat__number__of__Pls)
% 289.09/57.09 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] :
% 289.09/57.09 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 &
% 289.09/57.09 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OPls) = v0 & $i(v0))
% 289.09/57.09
% 289.09/57.09 (fact_nat__numeral__1__eq__1)
% 289.09/57.09 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] :
% 289.09/57.09 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 289.09/57.09 v0) = v1 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v1) & $i(v0))
% 289.09/57.09
% 289.09/57.09 (fact_nat__one__le__power)
% 289.09/57.09 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.09/57.09 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & c_Nat_OSuc(v0) = v1 &
% 289.09/57.09 c_Power_Opower__class_Opower(tc_Nat_Onat) = v2 & $i(v2) & $i(v1) & $i(v0) &
% 289.09/57.09 ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~ (hAPP(v5, v3) =
% 289.09/57.09 v6) | ~ (hAPP(v2, v4) = v5) | ~ $i(v4) | ~ $i(v3) | ~
% 289.09/57.09 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v4) |
% 289.09/57.09 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v6)))
% 289.09/57.09
% 289.09/57.09 (fact_nat__power__eq__Suc__0__iff)
% 289.09/57.09 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.09/57.09 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 & c_Nat_OSuc(v1) = v2 &
% 289.09/57.09 c_Power_Opower__class_Opower(tc_Nat_Onat) = v0 & $i(v2) & $i(v1) & $i(v0) &
% 289.09/57.09 ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 = v2 | ~ (hAPP(v4, v3) = v5) |
% 289.09/57.09 ~ (hAPP(v0, v2) = v4) | ~ $i(v3)) & ! [v3: $i] : ! [v4: $i] : ! [v5:
% 289.09/57.09 $i] : (v5 = v2 | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v0, v3) = v4) | ~
% 289.09/57.09 $i(v3)) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v4 = v2 | v3 = v1 |
% 289.09/57.09 ~ (hAPP(v5, v3) = v2) | ~ (hAPP(v0, v4) = v5) | ~ $i(v4) | ~ $i(v3)))
% 289.09/57.09
% 289.09/57.09 (fact_natceiling__add__one)
% 289.09/57.09 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 289.09/57.09 $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 289.09/57.09 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v2 &
% 289.09/57.09 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & $i(v2) & $i(v1) & $i(v0)
% 289.09/57.09 & ! [v3: $i] : ! [v4: $i] : ( ~
% 289.09/57.09 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v1) = v4) | ~ $i(v3) |
% 289.09/57.09 ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) | ? [v5:
% 289.09/57.09 $i] : ? [v6: $i] : (c_RComplete_Onatceiling(v4) = v5 &
% 289.09/57.09 c_RComplete_Onatceiling(v3) = v6 &
% 289.09/57.09 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v6, v2) = v5 & $i(v6) &
% 289.09/57.09 $i(v5))))
% 289.09/57.09
% 289.09/57.09 (fact_no__zero__divisors)
% 289.09/57.09 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 289.09/57.09 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5)
% 289.09/57.09 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 289.09/57.09 class_Rings_Ono__zero__divisors(v2) | ? [v6: $i] :
% 289.09/57.09 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~ (v6 = v5) | v5 = v1 |
% 289.09/57.09 v5 = v0)))
% 289.09/57.09
% 289.09/57.09 (fact_norm__eq__zero)
% 289.09/57.09 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 289.09/57.09 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 289.09/57.09 ! [v2: $i] : ! [v3: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v2, v1) =
% 289.09/57.09 v3) | ~ $i(v2) | ~ $i(v1) | ~
% 289.09/57.09 class_RealVector_Oreal__normed__vector(v2) | ? [v4: $i] : (( ~ (v3 = v0)
% 289.09/57.09 | (v4 = v1 & c_Groups_Ozero__class_Ozero(v2) = v1)) & (v3 = v0 | ( ~
% 289.09/57.09 (v4 = v1) & c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4))))))
% 289.09/57.09
% 289.09/57.09 (fact_norm__ge__zero)
% 289.09/57.09 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 289.09/57.09 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 289.09/57.09 ! [v2: $i] : ! [v3: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v2, v1) =
% 289.09/57.09 v3) | ~ $i(v2) | ~ $i(v1) | ~
% 289.09/57.09 class_RealVector_Oreal__normed__vector(v2) |
% 289.09/57.09 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3)))
% 289.09/57.09
% 289.09/57.09 (fact_norm__le__zero__iff)
% 289.09/57.09 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 289.09/57.09 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 289.09/57.09 ! [v2: $i] : ! [v3: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v2, v1) =
% 289.09/57.09 v3) | ~ $i(v2) | ~ $i(v1) | ~
% 289.09/57.09 class_RealVector_Oreal__normed__vector(v2) | ? [v4: $i] : (( ~
% 289.09/57.09 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0) | (v4 = v1
% 289.09/57.09 & c_Groups_Ozero__class_Ozero(v2) = v1)) &
% 289.09/57.09 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0) | ( ~ (v4 =
% 289.09/57.09 v1) & c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4))))))
% 289.09/57.09
% 289.09/57.09 (fact_norm__mult)
% 289.09/57.09 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 289.09/57.09 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 289.09/57.09 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 289.09/57.09 [v7: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v3, v2) = v4) | ~
% 289.09/57.09 (c_RealVector_Onorm__class_Onorm(v3, v1) = v6) | ~ (hAPP(v5, v6) = v7) |
% 289.09/57.09 ~ (hAPP(v0, v4) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 289.09/57.09 class_RealVector_Oreal__normed__div__algebra(v3) | ? [v8: $i] : ? [v9:
% 289.09/57.09 $i] : ? [v10: $i] : (c_RealVector_Onorm__class_Onorm(v3, v10) = v7 &
% 289.09/57.09 c_Groups_Otimes__class_Otimes(v3) = v8 & hAPP(v9, v1) = v10 & hAPP(v8,
% 289.09/57.09 v2) = v9 & $i(v10) & $i(v9) & $i(v8) & $i(v7))))
% 289.09/57.09
% 289.09/57.09 (fact_norm__mult__ineq)
% 289.09/57.09 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 289.09/57.09 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 289.09/57.09 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 289.09/57.09 [v7: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v3, v2) = v4) | ~
% 289.09/57.09 (c_RealVector_Onorm__class_Onorm(v3, v1) = v6) | ~ (hAPP(v5, v6) = v7) |
% 289.09/57.09 ~ (hAPP(v0, v4) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 289.09/57.09 class_RealVector_Oreal__normed__algebra(v3) | ? [v8: $i] : ? [v9: $i] :
% 289.09/57.09 ? [v10: $i] : ? [v11: $i] : (c_RealVector_Onorm__class_Onorm(v3, v10) =
% 289.09/57.09 v11 & c_Groups_Otimes__class_Otimes(v3) = v8 & hAPP(v9, v1) = v10 &
% 289.09/57.09 hAPP(v8, v2) = v9 & $i(v11) & $i(v10) & $i(v9) & $i(v8) &
% 289.09/57.09 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v11, v7))))
% 289.09/57.09
% 289.09/57.09 (fact_norm__mult__less)
% 289.09/57.10 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 289.09/57.10 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 289.09/57.10 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 289.09/57.10 [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~
% 289.09/57.10 (c_RealVector_Onorm__class_Onorm(v5, v8) = v9) | ~
% 289.09/57.10 (c_Groups_Otimes__class_Otimes(v5) = v6) | ~ (hAPP(v10, v1) = v11) | ~
% 289.09/57.10 (hAPP(v7, v2) = v8) | ~ (hAPP(v6, v4) = v7) | ~ (hAPP(v0, v3) = v10) |
% 289.09/57.10 ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 289.09/57.10 class_RealVector_Oreal__normed__algebra(v5) |
% 289.09/57.10 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9, v11) | ? [v12: $i] :
% 289.09/57.10 ? [v13: $i] : ((c_RealVector_Onorm__class_Onorm(v5, v4) = v12 & $i(v12) &
% 289.09/57.10 ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12, v3)) |
% 289.09/57.10 (c_RealVector_Onorm__class_Onorm(v5, v2) = v13 & $i(v13) & ~
% 289.09/57.10 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v13, v1)))))
% 289.09/57.10
% 289.09/57.10 (fact_norm__not__less__zero)
% 289.09/57.10 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 289.09/57.10 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 289.09/57.10 ! [v2: $i] : ! [v3: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v2, v1) =
% 289.09/57.10 v3) | ~ $i(v2) | ~ $i(v1) | ~
% 289.09/57.10 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0) | ~
% 289.09/57.10 class_RealVector_Oreal__normed__vector(v2)))
% 289.09/57.10
% 289.09/57.10 (fact_norm__one)
% 289.09/57.10 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 289.09/57.10 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : !
% 289.09/57.10 [v2: $i] : ! [v3: $i] : (v3 = v0 | ~ (c_RealVector_Onorm__class_Onorm(v1,
% 289.09/57.10 v2) = v3) | ~ (c_Groups_Oone__class_Oone(v1) = v2) | ~ $i(v1) | ~
% 289.09/57.10 class_RealVector_Oreal__normed__algebra__1(v1)))
% 289.09/57.10
% 289.09/57.10 (fact_norm__power)
% 289.09/57.10 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 289.09/57.10 (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 289.09/57.10 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 289.09/57.10 (c_RealVector_Onorm__class_Onorm(v3, v2) = v4) | ~ (hAPP(v5, v1) = v6) |
% 289.09/57.10 ~ (hAPP(v0, v4) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 289.09/57.10 class_RealVector_Oreal__normed__div__algebra(v3) | ? [v7: $i] : ? [v8:
% 289.09/57.10 $i] : ? [v9: $i] : (c_RealVector_Onorm__class_Onorm(v3, v9) = v6 &
% 289.09/57.10 c_Power_Opower__class_Opower(v3) = v7 & hAPP(v8, v1) = v9 & hAPP(v7, v2)
% 289.09/57.10 = v8 & $i(v9) & $i(v8) & $i(v7) & $i(v6))))
% 289.09/57.10
% 289.09/57.10 (fact_norm__power__ineq)
% 289.09/57.10 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 289.09/57.10 (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 289.09/57.10 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 289.09/57.10 (c_RealVector_Onorm__class_Onorm(v3, v2) = v4) | ~ (hAPP(v5, v1) = v6) |
% 289.09/57.10 ~ (hAPP(v0, v4) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 289.09/57.10 class_RealVector_Oreal__normed__algebra__1(v3) | ? [v7: $i] : ? [v8: $i]
% 289.09/57.10 : ? [v9: $i] : ? [v10: $i] : (c_RealVector_Onorm__class_Onorm(v3, v9) =
% 289.09/57.10 v10 & c_Power_Opower__class_Opower(v3) = v7 & hAPP(v8, v1) = v9 &
% 289.09/57.10 hAPP(v7, v2) = v8 & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 289.09/57.10 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, v6))))
% 289.09/57.10
% 289.09/57.10 (fact_norm__ratiotest__lemma)
% 289.09/57.10 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 289.09/57.10 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 289.09/57.10 c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0) & !
% 289.09/57.10 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 289.09/57.10 $i] : ! [v8: $i] : ! [v9: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v5,
% 289.09/57.10 v3) = v6) | ~ (c_RealVector_Onorm__class_Onorm(v5, v2) = v8) | ~
% 289.09/57.10 (hAPP(v7, v8) = v9) | ~ (hAPP(v1, v4) = v7) | ~ $i(v5) | ~ $i(v4) | ~
% 289.09/57.10 $i(v3) | ~ $i(v2) | ~ class_RealVector_Oreal__normed__vector(v5) | ~
% 289.09/57.10 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v9) | ~
% 289.09/57.10 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v0) |
% 289.09/57.10 c_Groups_Ozero__class_Ozero(v5) = v3))
% 289.09/57.10
% 289.09/57.10 (fact_norm__zero)
% 289.09/57.10 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 289.09/57.10 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 289.09/57.10 ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~ (c_Groups_Ozero__class_Ozero(v1) =
% 289.09/57.10 v2) | ~ (c_RealVector_Onorm__class_Onorm(v1, v2) = v3) | ~ $i(v1) | ~
% 289.09/57.10 class_RealVector_Oreal__normed__vector(v1)))
% 289.09/57.10
% 289.09/57.10 (fact_not__less0)
% 289.09/57.10 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 289.09/57.10 & $i(v0) & ! [v1: $i] : ( ~ $i(v1) | ~
% 289.09/57.10 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0)))
% 289.09/57.10
% 289.09/57.10 (fact_not__one__le__zero)
% 289.09/57.10 ! [v0: $i] : ! [v1: $i] : ( ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~
% 289.09/57.10 $i(v0) | ~ class_Rings_Olinordered__semidom(v0) | ? [v2: $i] :
% 289.09/57.10 (c_Groups_Ozero__class_Ozero(v0) = v2 & $i(v2) & ~
% 289.09/57.10 c_Orderings_Oord__class_Oless__eq(v0, v1, v2)))
% 289.09/57.10
% 289.09/57.10 (fact_not__one__less__zero)
% 289.09/57.10 ! [v0: $i] : ! [v1: $i] : ( ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~
% 289.09/57.10 $i(v0) | ~ class_Rings_Olinordered__semidom(v0) | ? [v2: $i] :
% 289.09/57.10 (c_Groups_Ozero__class_Ozero(v0) = v2 & $i(v2) & ~
% 289.09/57.10 c_Orderings_Oord__class_Oless(v0, v1, v2)))
% 289.09/57.10
% 289.09/57.10 (fact_not__real__square__gt__zero)
% 289.09/57.10 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 289.09/57.10 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 289.09/57.10 c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0) & !
% 289.09/57.10 [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v2 = v0 | ~ (hAPP(v3, v2) = v4) |
% 289.09/57.10 ~ (hAPP(v1, v2) = v3) | ~ $i(v2) |
% 289.09/57.10 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4)) & ! [v2: $i] :
% 289.09/57.10 ! [v3: $i] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(v1, v0) = v2) | ~
% 289.09/57.10 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3)))
% 289.09/57.10
% 289.09/57.10 (fact_not__sum__power2__lt__zero)
% 289.09/57.10 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.09/57.10 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 289.09/57.10 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 289.09/57.10 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 289.09/57.10 : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~
% 289.09/57.10 (c_Groups_Oplus__class_Oplus(v5, v8, v10) = v11) | ~
% 289.09/57.10 (c_Power_Opower__class_Opower(v5) = v6) | ~ (hAPP(v9, v2) = v10) | ~
% 289.09/57.10 (hAPP(v7, v2) = v8) | ~ (hAPP(v6, v4) = v7) | ~ (hAPP(v6, v3) = v9) | ~
% 289.09/57.10 $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ class_Rings_Olinordered__idom(v5) | ?
% 289.09/57.10 [v12: $i] : (c_Groups_Ozero__class_Ozero(v5) = v12 & $i(v12) & ~
% 289.09/57.10 c_Orderings_Oord__class_Oless(v5, v11, v12))))
% 289.09/57.10
% 289.09/57.10 (fact_number__of1)
% 289.09/57.10 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 289.09/57.10 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~
% 289.09/57.10 (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v2) | ~ $i(v1) | ~
% 289.09/57.10 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) | ? [v3: $i] : ?
% 289.09/57.10 [v4: $i] : ? [v5: $i] : ? [v6: $i] : (c_Int_OBit1(v1) = v5 &
% 289.09/57.10 c_Int_OBit0(v1) = v3 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v5)
% 289.09/57.10 = v6 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v3) = v4 & $i(v6) &
% 289.09/57.10 $i(v5) & $i(v4) & $i(v3) &
% 289.09/57.10 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v6) &
% 289.09/57.10 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v4))))
% 289.09/57.10
% 289.09/57.10 (fact_number__of2)
% 289.09/57.11 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] :
% 289.09/57.11 (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 &
% 289.09/57.11 c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls) = v1 & $i(v1) &
% 289.09/57.11 $i(v0) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1))
% 289.09/57.11
% 289.09/57.11 (fact_number__of__is__id)
% 289.09/57.11 $i(tc_Int_Oint) & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~
% 289.09/57.11 (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v1) | ~ $i(v0))
% 289.09/57.11
% 289.09/57.11 (fact_numeral__1__eq__1)
% 289.09/57.11 $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & !
% 289.09/57.11 [v1: $i] : ! [v2: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2)
% 289.09/57.11 | ~ $i(v1) | ~ class_Int_Onumber__ring(v1) |
% 289.09/57.11 (c_Groups_Oone__class_Oone(v1) = v2 & $i(v2))))
% 289.09/57.11
% 289.09/57.11 (fact_numeral__1__eq__Suc__0)
% 289.09/57.11 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.09/57.11 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v2 & c_Nat_OSuc(v2) = v1 &
% 289.09/57.11 c_Int_OBit1(c_Int_OPls) = v0 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 289.09/57.11 v0) = v1 & $i(v2) & $i(v1) & $i(v0))
% 289.09/57.11
% 289.09/57.11 (fact_numeral__2__eq__2)
% 289.09/57.11 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.09/57.11 ? [v3: $i] : ? [v4: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v3 &
% 289.09/57.11 c_Nat_OSuc(v4) = v2 & c_Nat_OSuc(v3) = v4 & c_Int_OBit1(c_Int_OPls) = v0 &
% 289.09/57.11 c_Int_OBit0(v0) = v1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) =
% 289.09/57.11 v2 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 289.09/57.11
% 289.09/57.11 (fact_numeral__3__eq__3)
% 289.09/57.11 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.09/57.11 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 289.09/57.11 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v3 & c_Nat_OSuc(v5) = v2 &
% 289.09/57.11 c_Nat_OSuc(v4) = v5 & c_Nat_OSuc(v3) = v4 & c_Int_OBit1(v0) = v1 &
% 289.09/57.11 c_Int_OBit1(c_Int_OPls) = v0 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 289.09/57.11 v1) = v2 & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 289.09/57.11
% 289.09/57.11 (fact_odd__0__le__power__imp__0__le)
% 289.09/57.11 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.09/57.11 ? [v3: $i] : ? [v4: $i] : (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 289.09/57.11 c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 289.09/57.11 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & hAPP(v0, v3) = v4 &
% 289.09/57.11 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : !
% 289.09/57.11 [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : !
% 289.09/57.11 [v12: $i] : ( ~ (c_Nat_OSuc(v10) = v11) | ~
% 289.09/57.11 (c_Power_Opower__class_Opower(v7) = v8) | ~ (hAPP(v9, v11) = v12) | ~
% 289.09/57.11 (hAPP(v8, v6) = v9) | ~ (hAPP(v4, v5) = v10) | ~ $i(v7) | ~ $i(v6) | ~
% 289.09/57.11 $i(v5) | ~ class_Rings_Olinordered__idom(v7) | ? [v13: $i] :
% 289.09/57.11 (c_Groups_Ozero__class_Ozero(v7) = v13 & $i(v13) & ( ~
% 289.09/57.11 c_Orderings_Oord__class_Oless__eq(v7, v13, v12) |
% 289.09/57.11 c_Orderings_Oord__class_Oless__eq(v7, v13, v6)))))
% 289.09/57.11
% 289.09/57.11 (fact_odd__nonzero)
% 289.09/57.11 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] :
% 289.09/57.11 (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v1 &
% 289.09/57.11 c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & $i(v1) & $i(v0) & ! [v2: $i]
% 289.09/57.11 : ! [v3: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v3, v2) = v1)
% 289.09/57.11 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v2) = v3) | ~ $i(v2)))
% 289.09/57.11
% 289.09/57.11 (fact_odd__power__less__zero)
% 289.09/57.11 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.09/57.11 ? [v3: $i] : ? [v4: $i] : (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 289.09/57.11 c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 289.09/57.11 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & hAPP(v0, v3) = v4 &
% 289.09/57.11 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : !
% 289.09/57.11 [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : !
% 289.09/57.11 [v12: $i] : ( ~ (c_Nat_OSuc(v10) = v11) | ~
% 289.09/57.11 (c_Power_Opower__class_Opower(v7) = v8) | ~ (hAPP(v9, v11) = v12) | ~
% 289.09/57.11 (hAPP(v8, v6) = v9) | ~ (hAPP(v4, v5) = v10) | ~ $i(v7) | ~ $i(v6) | ~
% 289.09/57.11 $i(v5) | ~ class_Rings_Olinordered__idom(v7) | ? [v13: $i] :
% 289.09/57.11 (c_Groups_Ozero__class_Ozero(v7) = v13 & $i(v13) & ( ~
% 289.09/57.11 c_Orderings_Oord__class_Oless(v7, v6, v13) |
% 289.09/57.11 c_Orderings_Oord__class_Oless(v7, v12, v13)))))
% 289.09/57.11
% 289.09/57.11 (fact_one__add__one__is__two)
% 289.09/57.11 $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 289.09/57.11 c_Int_OBit0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~
% 289.09/57.11 (c_Int_Onumber__class_Onumber__of(v2, v1) = v3) | ~ $i(v2) | ~
% 289.09/57.11 class_Int_Onumber__ring(v2) | ? [v4: $i] :
% 289.09/57.11 (c_Groups_Oplus__class_Oplus(v2, v4, v4) = v3 &
% 289.09/57.11 c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) & $i(v3))))
% 289.09/57.11
% 289.09/57.11 (fact_one__is__add)
% 289.09/57.11 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 289.09/57.11 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & c_Nat_OSuc(v0) = v1 & $i(v1)
% 289.09/57.11 & $i(v0) & ! [v2: $i] : ! [v3: $i] : (v3 = v1 | v3 = v0 | ~
% 289.09/57.11 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v2) = v1) | ~ $i(v3) | ~
% 289.09/57.11 $i(v2)) & ! [v2: $i] : ! [v3: $i] : (v3 = v1 | v2 = v1 | ~
% 289.09/57.11 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v2) = v1) | ~ $i(v3) | ~
% 289.09/57.11 $i(v2)) & ! [v2: $i] : ! [v3: $i] : (v3 = v0 | v2 = v0 | ~
% 289.09/57.11 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v2) = v1) | ~ $i(v3) | ~
% 289.09/57.11 $i(v2)) & ! [v2: $i] : ! [v3: $i] : (v2 = v1 | v2 = v0 | ~
% 289.09/57.11 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v2) = v1) | ~ $i(v3) | ~
% 289.09/57.11 $i(v2)) & ! [v2: $i] : (v2 = v1 | ~
% 289.09/57.11 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2)) & ! [v2: $i] :
% 289.09/57.11 (v2 = v1 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v2)))
% 289.09/57.11
% 289.09/57.11 (fact_one__is__num__one)
% 289.09/57.11 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] :
% 289.09/57.11 (c_Int_OBit1(c_Int_OPls) = v1 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint,
% 289.09/57.11 v1) = v0 & c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & $i(v1) & $i(v0))
% 289.09/57.11
% 289.09/57.11 (fact_one__le__mult__iff)
% 289.09/57.11 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.09/57.11 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & c_Nat_OSuc(v0) = v1 &
% 289.09/57.11 c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v2 & $i(v2) & $i(v1) & $i(v0) &
% 289.09/57.11 ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~ (hAPP(v5, v3) =
% 289.09/57.11 v6) | ~ (hAPP(v2, v4) = v5) | ~ $i(v4) | ~ $i(v3) | ~
% 289.09/57.11 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v6) |
% 289.09/57.11 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v4)) & ! [v3: $i] : !
% 289.09/57.11 [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~ (hAPP(v5, v3) = v6) | ~
% 289.09/57.11 (hAPP(v2, v4) = v5) | ~ $i(v4) | ~ $i(v3) | ~
% 289.09/57.11 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v6) |
% 289.09/57.11 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v3)) & ! [v3: $i] : !
% 289.09/57.11 [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~ (hAPP(v5, v3) = v6) | ~
% 289.09/57.11 (hAPP(v2, v4) = v5) | ~ $i(v4) | ~ $i(v3) | ~
% 289.09/57.11 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v4) | ~
% 289.09/57.11 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v3) |
% 289.09/57.11 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v6)))
% 289.09/57.11
% 289.09/57.11 (fact_one__less__power)
% 289.09/57.11 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 289.09/57.11 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 289.09/57.11 $i] : ! [v6: $i] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~
% 289.09/57.11 (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ $i(v3) | ~ $i(v2) | ~
% 289.09/57.11 $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) | ~
% 289.09/57.11 class_Rings_Olinordered__semidom(v3) | ? [v7: $i] :
% 289.09/57.11 (c_Groups_Oone__class_Oone(v3) = v7 & $i(v7) & ( ~
% 289.09/57.11 c_Orderings_Oord__class_Oless(v3, v7, v2) |
% 289.09/57.11 c_Orderings_Oord__class_Oless(v3, v7, v6)))))
% 289.09/57.11
% 289.09/57.11 (fact_one__power2)
% 289.09/57.12 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.09/57.12 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 289.09/57.12 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 289.09/57.12 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 289.09/57.12 (c_Power_Opower__class_Opower(v3) = v4) | ~
% 289.09/57.12 (c_Groups_Oone__class_Oone(v3) = v5) | ~ (hAPP(v4, v5) = v6) | ~ $i(v3)
% 289.09/57.12 | ~ class_Rings_Osemiring__1(v3) | (hAPP(v6, v2) = v5 & $i(v5))))
% 289.09/57.12
% 289.09/57.12 (fact_pi__ge__zero)
% 289.09/57.12 $i(c_Transcendental_Opi) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 289.09/57.12 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) &
% 289.09/57.12 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 289.09/57.12 c_Transcendental_Opi))
% 289.09/57.12
% 289.09/57.12 (fact_pi__gt__zero)
% 289.09/57.12 $i(c_Transcendental_Opi) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 289.09/57.12 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) &
% 289.09/57.12 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, c_Transcendental_Opi))
% 289.09/57.12
% 289.09/57.12 (fact_pi__neq__zero)
% 289.09/57.12 $i(c_Transcendental_Opi) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ( ~ (v0 =
% 289.09/57.12 c_Transcendental_Opi) & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0
% 289.09/57.12 & $i(v0))
% 289.09/57.12
% 289.09/57.12 (fact_pi__not__less__zero)
% 289.09/57.12 $i(c_Transcendental_Opi) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 289.09/57.12 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ~
% 289.09/57.12 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, c_Transcendental_Opi, v0))
% 289.09/57.12
% 289.09/57.12 (fact_pos__zmult__eq__1__iff__lemma)
% 289.09/57.12 $i(tc_Int_Oint) & $i(c_Int_OMin) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.09/57.12 (c_Groups_Otimes__class_Otimes(tc_Int_Oint) = v0 &
% 289.09/57.12 c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OMin) = v2 &
% 289.09/57.12 c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 & $i(v2) & $i(v1) & $i(v0) & !
% 289.09/57.12 [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v4 = v2 | v4 = v1 | ~ (hAPP(v5, v3)
% 289.09/57.12 = v1) | ~ (hAPP(v0, v4) = v5) | ~ $i(v4) | ~ $i(v3)))
% 289.09/57.12
% 289.09/57.12 (fact_power2__abs)
% 289.09/57.12 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.09/57.12 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 289.09/57.12 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 289.09/57.12 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 289.09/57.12 : ( ~ (c_Power_Opower__class_Opower(v4) = v5) | ~
% 289.09/57.12 (c_Groups_Oabs__class_Oabs(v4, v3) = v6) | ~ (hAPP(v5, v6) = v7) | ~
% 289.09/57.12 $i(v4) | ~ $i(v3) | ~ class_Rings_Olinordered__idom(v4) | ? [v8: $i] :
% 289.09/57.12 ? [v9: $i] : (hAPP(v9, v2) = v8 & hAPP(v7, v2) = v8 & hAPP(v5, v3) = v9 &
% 289.09/57.12 $i(v9) & $i(v8))))
% 289.09/57.12
% 289.09/57.12 (fact_power2__diff)
% 289.09/57.12 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.09/57.12 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 289.09/57.12 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 289.09/57.12 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 289.09/57.12 : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ! [v12: $i] :
% 289.09/57.12 ! [v13: $i] : ! [v14: $i] : ! [v15: $i] : ! [v16: $i] : ! [v17: $i] : !
% 289.09/57.12 [v18: $i] : ( ~ (c_Groups_Ominus__class_Ominus(v5, v11, v17) = v18) | ~
% 289.09/57.12 (c_Groups_Oplus__class_Oplus(v5, v8, v10) = v11) | ~
% 289.09/57.12 (c_Power_Opower__class_Opower(v5) = v6) | ~
% 289.09/57.12 (c_Groups_Otimes__class_Otimes(v5) = v12) | ~
% 289.09/57.12 (c_Int_Onumber__class_Onumber__of(v5, v1) = v13) | ~ (hAPP(v16, v3) =
% 289.09/57.12 v17) | ~ (hAPP(v14, v4) = v15) | ~ (hAPP(v12, v15) = v16) | ~
% 289.09/57.12 (hAPP(v12, v13) = v14) | ~ (hAPP(v9, v2) = v10) | ~ (hAPP(v7, v2) = v8)
% 289.09/57.12 | ~ (hAPP(v6, v4) = v7) | ~ (hAPP(v6, v3) = v9) | ~ $i(v5) | ~ $i(v4)
% 289.09/57.12 | ~ $i(v3) | ~ class_Int_Onumber__ring(v5) | ? [v19: $i] : ? [v20: $i]
% 289.09/57.12 : (c_Groups_Ominus__class_Ominus(v5, v4, v3) = v19 & hAPP(v20, v2) = v18 &
% 289.09/57.12 hAPP(v6, v19) = v20 & $i(v20) & $i(v19) & $i(v18))))
% 289.09/57.12
% 289.09/57.12 (fact_power2__eq__imp__eq)
% 289.09/57.12 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.09/57.12 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 289.09/57.12 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 289.09/57.12 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 289.09/57.12 : ! [v8: $i] : (v4 = v3 | ~ (c_Power_Opower__class_Opower(v5) = v6) | ~
% 289.09/57.12 (hAPP(v6, v4) = v7) | ~ (hAPP(v6, v3) = v8) | ~ $i(v5) | ~ $i(v4) | ~
% 289.09/57.12 $i(v3) | ~ class_Rings_Olinordered__semidom(v5) | ? [v9: $i] : ? [v10:
% 289.09/57.12 $i] : ? [v11: $i] : (( ~ (v10 = v9) & hAPP(v8, v2) = v10 & hAPP(v7, v2)
% 289.09/57.12 = v9 & $i(v10) & $i(v9)) | (c_Groups_Ozero__class_Ozero(v5) = v11 &
% 289.09/57.12 $i(v11) & ~ c_Orderings_Oord__class_Oless__eq(v5, v11, v4)) |
% 289.09/57.12 (c_Groups_Ozero__class_Ozero(v5) = v11 & $i(v11) & ~
% 289.09/57.12 c_Orderings_Oord__class_Oless__eq(v5, v11, v3)))))
% 289.09/57.12
% 289.09/57.12 (fact_power2__eq__square)
% 289.09/57.12 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.09/57.12 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 289.09/57.12 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 289.09/57.12 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 289.09/57.12 : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (hAPP(v6, v3) = v7) | ~
% 289.09/57.12 (hAPP(v5, v3) = v6) | ~ $i(v4) | ~ $i(v3) | ~
% 289.09/57.12 class_Groups_Omonoid__mult(v4) | ? [v8: $i] : ? [v9: $i] :
% 289.09/57.12 (c_Power_Opower__class_Opower(v4) = v8 & hAPP(v9, v2) = v7 & hAPP(v8, v3)
% 289.09/57.12 = v9 & $i(v9) & $i(v8) & $i(v7))))
% 289.09/57.12
% 289.09/57.12 (fact_power2__eq__square__number__of)
% 289.09/57.12 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.09/57.12 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 289.09/57.12 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 289.09/57.12 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 289.09/57.12 : ! [v8: $i] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v6) | ~
% 289.09/57.12 (c_Int_Onumber__class_Onumber__of(v4, v3) = v5) | ~ (hAPP(v7, v5) = v8) |
% 289.09/57.12 ~ (hAPP(v6, v5) = v7) | ~ $i(v4) | ~ $i(v3) | ~ class_Int_Onumber(v4)
% 289.09/57.12 | ~ class_Groups_Omonoid__mult(v4) | ? [v9: $i] : ? [v10: $i] :
% 289.09/57.12 (c_Power_Opower__class_Opower(v4) = v9 & hAPP(v10, v2) = v8 & hAPP(v9, v5)
% 289.09/57.12 = v10 & $i(v10) & $i(v9) & $i(v8))))
% 289.09/57.12
% 289.09/57.12 (fact_power2__i)
% 289.09/57.12 $i(c_Complex_Oii) & $i(tc_Complex_Ocomplex) & $i(c_Int_OMin) & $i(tc_Nat_Onat)
% 289.09/57.12 & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ?
% 289.09/57.12 [v4: $i] : ? [v5: $i] : (c_Power_Opower__class_Opower(tc_Complex_Ocomplex) =
% 289.09/57.12 v0 & c_Int_OBit1(c_Int_OPls) = v2 & c_Int_OBit0(v2) = v3 &
% 289.09/57.12 c_Int_Onumber__class_Onumber__of(tc_Complex_Ocomplex, c_Int_OMin) = v5 &
% 289.09/57.12 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v3) = v4 & hAPP(v1, v4) = v5 &
% 289.09/57.12 hAPP(v0, c_Complex_Oii) = v1 & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 289.09/57.12 $i(v0))
% 289.09/57.12
% 289.09/57.12 (fact_power2__le__imp__le)
% 289.09/57.12 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.09/57.12 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 289.09/57.12 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 289.09/57.12 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 289.09/57.12 : ! [v8: $i] : ( ~ (c_Power_Opower__class_Opower(v5) = v6) | ~ (hAPP(v6,
% 289.09/57.12 v4) = v7) | ~ (hAPP(v6, v3) = v8) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3)
% 289.09/57.12 | ~ class_Rings_Olinordered__semidom(v5) |
% 289.09/57.12 c_Orderings_Oord__class_Oless__eq(v5, v4, v3) | ? [v9: $i] : ? [v10: $i]
% 289.09/57.12 : ? [v11: $i] : ((c_Groups_Ozero__class_Ozero(v5) = v11 & $i(v11) & ~
% 289.09/57.12 c_Orderings_Oord__class_Oless__eq(v5, v11, v3)) | (hAPP(v8, v2) = v10
% 289.09/57.12 & hAPP(v7, v2) = v9 & $i(v10) & $i(v9) & ~
% 289.09/57.12 c_Orderings_Oord__class_Oless__eq(v5, v9, v10)))))
% 289.09/57.12
% 289.09/57.12 (fact_power2__less__0)
% 289.09/57.12 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.09/57.12 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 289.09/57.12 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 289.09/57.12 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 289.09/57.12 (c_Power_Opower__class_Opower(v4) = v5) | ~ (hAPP(v5, v3) = v6) | ~
% 289.09/57.12 $i(v4) | ~ $i(v3) | ~ class_Rings_Olinordered__idom(v4) | ? [v7: $i] :
% 289.09/57.12 ? [v8: $i] : (c_Groups_Ozero__class_Ozero(v4) = v8 & hAPP(v6, v2) = v7 &
% 289.09/57.12 $i(v8) & $i(v7) & ~ c_Orderings_Oord__class_Oless(v4, v7, v8))))
% 289.09/57.12
% 289.09/57.12 (fact_power2__less__imp__less)
% 289.09/57.12 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.09/57.12 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 289.09/57.12 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 289.09/57.12 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 289.09/57.12 : ! [v8: $i] : ( ~ (c_Power_Opower__class_Opower(v5) = v6) | ~ (hAPP(v6,
% 289.09/57.12 v4) = v7) | ~ (hAPP(v6, v3) = v8) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3)
% 289.09/57.12 | ~ class_Rings_Olinordered__semidom(v5) |
% 289.09/57.12 c_Orderings_Oord__class_Oless(v5, v4, v3) | ? [v9: $i] : ? [v10: $i] :
% 289.09/57.12 ? [v11: $i] : ((c_Groups_Ozero__class_Ozero(v5) = v11 & $i(v11) & ~
% 289.09/57.12 c_Orderings_Oord__class_Oless__eq(v5, v11, v3)) | (hAPP(v8, v2) = v10
% 289.09/57.12 & hAPP(v7, v2) = v9 & $i(v10) & $i(v9) & ~
% 289.09/57.12 c_Orderings_Oord__class_Oless(v5, v9, v10)))))
% 289.09/57.12
% 289.09/57.12 (fact_power2__sum)
% 289.09/57.12 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.09/57.12 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 289.09/57.12 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 289.09/57.12 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 289.09/57.12 : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ! [v12: $i] :
% 289.09/57.12 ! [v13: $i] : ! [v14: $i] : ! [v15: $i] : ! [v16: $i] : ! [v17: $i] : !
% 289.09/57.12 [v18: $i] : ( ~ (c_Groups_Oplus__class_Oplus(v5, v11, v17) = v18) | ~
% 289.09/57.12 (c_Groups_Oplus__class_Oplus(v5, v8, v10) = v11) | ~
% 289.09/57.12 (c_Power_Opower__class_Opower(v5) = v6) | ~
% 289.09/57.12 (c_Groups_Otimes__class_Otimes(v5) = v12) | ~
% 289.09/57.12 (c_Int_Onumber__class_Onumber__of(v5, v1) = v13) | ~ (hAPP(v16, v3) =
% 289.09/57.12 v17) | ~ (hAPP(v14, v4) = v15) | ~ (hAPP(v12, v15) = v16) | ~
% 289.09/57.12 (hAPP(v12, v13) = v14) | ~ (hAPP(v9, v2) = v10) | ~ (hAPP(v7, v2) = v8)
% 289.09/57.12 | ~ (hAPP(v6, v4) = v7) | ~ (hAPP(v6, v3) = v9) | ~ $i(v5) | ~ $i(v4)
% 289.09/57.12 | ~ $i(v3) | ~ class_Int_Onumber__ring(v5) | ? [v19: $i] : ? [v20: $i]
% 289.09/57.12 : (c_Groups_Oplus__class_Oplus(v5, v4, v3) = v19 & hAPP(v20, v2) = v18 &
% 289.09/57.12 hAPP(v6, v19) = v20 & $i(v20) & $i(v19) & $i(v18))))
% 289.09/57.12
% 289.09/57.12 (fact_power3__eq__cube)
% 289.09/57.12 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.09/57.12 (c_Int_OBit1(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 289.09/57.12 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 289.09/57.12 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 289.09/57.12 : ! [v8: $i] : ! [v9: $i] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) |
% 289.09/57.12 ~ (hAPP(v8, v3) = v9) | ~ (hAPP(v6, v3) = v7) | ~ (hAPP(v5, v7) = v8) |
% 289.09/57.12 ~ (hAPP(v5, v3) = v6) | ~ $i(v4) | ~ $i(v3) | ~
% 289.09/57.12 class_Groups_Omonoid__mult(v4) | ? [v10: $i] : ? [v11: $i] :
% 289.09/57.12 (c_Power_Opower__class_Opower(v4) = v10 & hAPP(v11, v2) = v9 & hAPP(v10,
% 289.09/57.12 v3) = v11 & $i(v11) & $i(v10) & $i(v9))))
% 289.09/57.12
% 289.09/57.12 (fact_power_Opower_Opower__0)
% 289.09/57.12 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 289.09/57.12 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 289.09/57.12 $i] : ! [v6: $i] : ( ~ (c_Power_Opower_Opower(v4, v3, v2) = v5) | ~
% 289.09/57.12 (hAPP(v5, v1) = v6) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) |
% 289.09/57.12 hAPP(v6, v0) = v3))
% 289.09/57.12
% 289.09/57.12 (fact_power__0)
% 289.09/57.12 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 289.09/57.12 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 289.09/57.12 (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v3, v1) = v4) | ~
% 289.09/57.12 $i(v2) | ~ $i(v1) | ~ class_Power_Opower(v2) | ? [v5: $i] :
% 289.09/57.12 (c_Groups_Oone__class_Oone(v2) = v5 & hAPP(v4, v0) = v5 & $i(v5))))
% 289.09/57.12
% 289.09/57.12 (fact_power__0__left)
% 289.09/57.12 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 289.09/57.12 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 289.09/57.12 $i] : ! [v6: $i] : (v6 = v4 | v1 = v0 | ~
% 289.09/57.12 (c_Groups_Ozero__class_Ozero(v2) = v4) | ~
% 289.09/57.12 (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v5, v1) = v6) | ~
% 289.09/57.12 (hAPP(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~
% 289.09/57.12 class_Rings_Osemiring__0(v2) | ~ class_Power_Opower(v2)) & ! [v1: $i] :
% 289.09/57.12 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 289.09/57.12 (c_Groups_Ozero__class_Ozero(v1) = v3) | ~
% 289.09/57.12 (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v4, v0) = v5) | ~
% 289.09/57.12 (hAPP(v2, v3) = v4) | ~ $i(v1) | ~ class_Rings_Osemiring__0(v1) | ~
% 289.09/57.12 class_Power_Opower(v1) | (c_Groups_Oone__class_Oone(v1) = v5 & $i(v5))))
% 289.09/57.12
% 289.09/57.12 (fact_power__0__left__number__of)
% 289.09/57.13 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 289.09/57.13 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 289.09/57.13 $i] : ! [v6: $i] : ! [v7: $i] : (v7 = v5 | v3 = v0 | ~
% 289.09/57.13 (c_Groups_Ozero__class_Ozero(v2) = v5) | ~
% 289.09/57.13 (c_Power_Opower__class_Opower(v2) = v4) | ~
% 289.09/57.13 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v3) | ~ (hAPP(v6,
% 289.09/57.13 v3) = v7) | ~ (hAPP(v4, v5) = v6) | ~ $i(v2) | ~ $i(v1) | ~
% 289.09/57.13 class_Rings_Osemiring__0(v2) | ~ class_Power_Opower(v2)) & ! [v1: $i] :
% 289.09/57.13 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 289.09/57.13 (c_Groups_Ozero__class_Ozero(v2) = v4) | ~
% 289.09/57.13 (c_Power_Opower__class_Opower(v2) = v3) | ~
% 289.09/57.13 (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v0) | ~ (hAPP(v5,
% 289.09/57.13 v0) = v6) | ~ (hAPP(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~
% 289.09/57.13 class_Rings_Osemiring__0(v2) | ~ class_Power_Opower(v2) |
% 289.09/57.13 (c_Groups_Oone__class_Oone(v2) = v6 & $i(v6))))
% 289.09/57.13
% 289.09/57.13 (fact_power__Suc__0)
% 289.09/57.13 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 289.09/57.13 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 & c_Nat_OSuc(v1) = v2 &
% 289.09/57.13 c_Power_Opower__class_Opower(tc_Nat_Onat) = v0 & hAPP(v0, v2) = v3 & $i(v3)
% 289.09/57.13 & $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : (v5 = v2 | ~
% 289.09/57.13 (hAPP(v3, v4) = v5) | ~ $i(v4)))
% 289.09/57.13
% 289.09/57.13 (fact_power__eq__0__iff)
% 289.09/57.13 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 289.09/57.13 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 289.09/57.13 $i] : ! [v6: $i] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~
% 289.09/57.13 (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ $i(v3) | ~ $i(v2) | ~
% 289.09/57.13 $i(v1) | ~ class_Rings_Ozero__neq__one(v3) | ~
% 289.09/57.13 class_Rings_Ono__zero__divisors(v3) | ~ class_Rings_Omult__zero(v3) | ~
% 289.09/57.13 class_Power_Opower(v3) | ? [v7: $i] : (c_Groups_Ozero__class_Ozero(v3) =
% 289.09/57.13 v7 & $i(v7) & ( ~ (v7 = v6) | (v6 = v2 & ~ (v1 = v0))) & ( ~ (v7 = v2)
% 289.09/57.13 | v6 = v2 | v1 = v0))))
% 289.09/57.13
% 289.09/57.13 (fact_power__eq__0__iff__number__of)
% 289.09/57.13 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 289.09/57.13 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 289.09/57.13 $i] : ! [v6: $i] : ! [v7: $i] : ( ~ (c_Power_Opower__class_Opower(v3) =
% 289.09/57.13 v4) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v6) | ~
% 289.09/57.13 (hAPP(v5, v6) = v7) | ~ (hAPP(v4, v2) = v5) | ~ $i(v3) | ~ $i(v2) | ~
% 289.09/57.13 $i(v1) | ~ class_Rings_Ozero__neq__one(v3) | ~
% 289.09/57.13 class_Rings_Ono__zero__divisors(v3) | ~ class_Rings_Omult__zero(v3) | ~
% 289.09/57.13 class_Power_Opower(v3) | ? [v8: $i] : (c_Groups_Ozero__class_Ozero(v3) =
% 289.09/57.13 v8 & $i(v8) & ( ~ (v8 = v7) | (v7 = v2 & ~ (v6 = v0))) & ( ~ (v8 = v2)
% 289.09/57.13 | v7 = v2 | v6 = v0))))
% 289.09/57.13
% 289.09/57.13 (fact_power__eq__if)
% 289.09/57.13 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 289.09/57.13 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 &
% 289.09/57.13 c_Power_Opower__class_Opower(tc_Nat_Onat) = v1 &
% 289.09/57.13 c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v3 &
% 289.09/57.13 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v2 & $i(v3) & $i(v2) & $i(v1) &
% 289.09/57.13 $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i]
% 289.09/57.13 : ! [v9: $i] : ! [v10: $i] : (v5 = v0 | ~
% 289.09/57.13 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v5, v2) = v8) | ~ (hAPP(v7,
% 289.09/57.13 v9) = v10) | ~ (hAPP(v6, v8) = v9) | ~ (hAPP(v3, v4) = v7) | ~
% 289.09/57.13 (hAPP(v1, v4) = v6) | ~ $i(v5) | ~ $i(v4) | (hAPP(v6, v5) = v10 &
% 289.09/57.13 $i(v10))) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v6 = v2 | ~
% 289.09/57.13 (hAPP(v5, v0) = v6) | ~ (hAPP(v1, v4) = v5) | ~ $i(v4)))
% 289.09/57.13
% 289.09/57.13 (fact_power__even__eq)
% 289.09/57.13 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.09/57.13 ? [v3: $i] : ? [v4: $i] : (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 289.09/57.13 c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 289.09/57.13 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & hAPP(v0, v3) = v4 &
% 289.09/57.13 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : !
% 289.09/57.13 [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~
% 289.09/57.13 (c_Power_Opower__class_Opower(v7) = v8) | ~ (hAPP(v9, v10) = v11) | ~
% 289.09/57.13 (hAPP(v8, v6) = v9) | ~ (hAPP(v4, v5) = v10) | ~ $i(v7) | ~ $i(v6) | ~
% 289.09/57.13 $i(v5) | ~ class_Groups_Omonoid__mult(v7) | ? [v12: $i] : ? [v13: $i] :
% 289.09/57.13 (hAPP(v13, v3) = v11 & hAPP(v9, v5) = v12 & hAPP(v8, v12) = v13 & $i(v13)
% 289.09/57.13 & $i(v12) & $i(v11))))
% 289.09/57.13
% 289.09/57.13 (fact_power__m1__even)
% 289.09/57.13 $i(c_Int_OMin) & $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i]
% 289.09/57.13 : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 289.09/57.13 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 & c_Int_OBit1(c_Int_OPls) =
% 289.09/57.13 v1 & c_Int_OBit0(v1) = v2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 289.09/57.13 v2) = v3 & hAPP(v0, v3) = v4 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)
% 289.09/57.13 & ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : !
% 289.09/57.13 [v10: $i] : ! [v11: $i] : ( ~ (c_Power_Opower__class_Opower(v6) = v7) | ~
% 289.09/57.13 (c_Int_Onumber__class_Onumber__of(v6, c_Int_OMin) = v8) | ~ (hAPP(v9,
% 289.09/57.13 v10) = v11) | ~ (hAPP(v7, v8) = v9) | ~ (hAPP(v4, v5) = v10) | ~
% 289.09/57.13 $i(v6) | ~ $i(v5) | ~ class_Int_Onumber__ring(v6) |
% 289.09/57.13 (c_Groups_Oone__class_Oone(v6) = v11 & $i(v11))))
% 289.09/57.13
% 289.09/57.13 (fact_power__m1__odd)
% 289.09/57.13 $i(c_Int_OMin) & $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i]
% 289.09/57.13 : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 289.09/57.13 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 & c_Int_OBit1(c_Int_OPls) =
% 289.09/57.13 v1 & c_Int_OBit0(v1) = v2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 289.09/57.13 v2) = v3 & hAPP(v0, v3) = v4 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)
% 289.09/57.13 & ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : !
% 289.09/57.13 [v10: $i] : ! [v11: $i] : ! [v12: $i] : (v12 = v8 | ~ (c_Nat_OSuc(v10) =
% 289.09/57.13 v11) | ~ (c_Power_Opower__class_Opower(v6) = v7) | ~
% 289.09/57.13 (c_Int_Onumber__class_Onumber__of(v6, c_Int_OMin) = v8) | ~ (hAPP(v9,
% 289.09/57.13 v11) = v12) | ~ (hAPP(v7, v8) = v9) | ~ (hAPP(v4, v5) = v10) | ~
% 289.09/57.13 $i(v6) | ~ $i(v5) | ~ class_Int_Onumber__ring(v6)))
% 289.09/57.13
% 289.09/57.13 (fact_power__mono)
% 289.09/57.13 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 289.09/57.13 $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~
% 289.09/57.13 (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v7, v0) = v8) | ~
% 289.09/57.13 (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v7) | ~
% 289.09/57.13 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 289.09/57.13 class_Rings_Olinordered__semidom(v3) | ~
% 289.09/57.13 c_Orderings_Oord__class_Oless__eq(v3, v2, v1) |
% 289.09/57.13 c_Orderings_Oord__class_Oless__eq(v3, v6, v8) | ? [v9: $i] :
% 289.09/57.13 (c_Groups_Ozero__class_Ozero(v3) = v9 & $i(v9) & ~
% 289.09/57.13 c_Orderings_Oord__class_Oless__eq(v3, v9, v2)))
% 289.09/57.13
% 289.09/57.13 (fact_power__odd__eq)
% 289.09/57.13 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.09/57.13 ? [v3: $i] : ? [v4: $i] : (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 289.09/57.13 c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 289.09/57.13 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & hAPP(v0, v3) = v4 &
% 289.09/57.13 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : !
% 289.09/57.13 [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : !
% 289.09/57.13 [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15: $i] : ( ~
% 289.09/57.13 (c_Power_Opower__class_Opower(v7) = v8) | ~
% 289.09/57.13 (c_Groups_Otimes__class_Otimes(v7) = v10) | ~ (hAPP(v13, v3) = v14) | ~
% 289.09/57.13 (hAPP(v11, v14) = v15) | ~ (hAPP(v10, v6) = v11) | ~ (hAPP(v9, v5) =
% 289.09/57.13 v12) | ~ (hAPP(v8, v12) = v13) | ~ (hAPP(v8, v6) = v9) | ~ $i(v7) |
% 289.09/57.13 ~ $i(v6) | ~ $i(v5) | ~ class_Groups_Omonoid__mult(v7) | ? [v16: $i] :
% 289.09/57.13 ? [v17: $i] : (c_Nat_OSuc(v16) = v17 & hAPP(v9, v17) = v15 & hAPP(v4, v5)
% 289.09/57.13 = v16 & $i(v17) & $i(v16) & $i(v15))))
% 289.09/57.13
% 289.09/57.13 (fact_power__one__right)
% 289.09/57.13 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 &
% 289.09/57.13 $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 289.09/57.13 (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v3, v1) = v4) | ~
% 289.09/57.13 $i(v2) | ~ $i(v1) | ~ class_Groups_Omonoid__mult(v2) | hAPP(v4, v0) =
% 289.09/57.13 v1))
% 289.09/57.13
% 289.09/57.13 (fact_rabs__ratiotest__lemma)
% 289.09/57.13 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 289.09/57.13 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 289.09/57.13 c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0) & !
% 289.09/57.13 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 289.09/57.13 $i] : ! [v8: $i] : (v3 = v0 | ~
% 289.09/57.13 (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v3) = v5) | ~
% 289.09/57.13 (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v2) = v7) | ~ (hAPP(v6, v7)
% 289.09/57.13 = v8) | ~ (hAPP(v1, v4) = v6) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 289.09/57.13 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v8) | ~
% 289.09/57.13 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v0)))
% 289.09/57.13
% 289.09/57.13 (fact_real__0__le__divide__iff)
% 289.09/57.13 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 289.09/57.13 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 289.09/57.13 ! [v2: $i] : ! [v3: $i] : ( ~
% 289.09/57.13 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 289.09/57.13 $i(v2) | ~ $i(v1) | ~
% 289.09/57.13 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0) | ~
% 289.09/57.13 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) |
% 289.09/57.13 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3)) & ! [v1: $i]
% 289.09/57.13 : ! [v2: $i] : ! [v3: $i] : ( ~
% 289.09/57.13 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 289.09/57.13 $i(v2) | ~ $i(v1) | ~
% 289.09/57.13 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0) | ~
% 289.09/57.13 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) |
% 289.09/57.13 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3)) & ! [v1: $i]
% 289.09/57.13 : ! [v2: $i] : ! [v3: $i] : ( ~
% 289.09/57.13 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 289.09/57.13 $i(v2) | ~ $i(v1) | ~
% 289.09/57.13 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) | ~
% 289.09/57.13 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1) |
% 289.09/57.13 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3)) & ! [v1: $i]
% 289.09/57.13 : ! [v2: $i] : ! [v3: $i] : ( ~
% 289.09/57.13 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 289.09/57.13 $i(v2) | ~ $i(v1) | ~
% 289.09/57.13 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) |
% 289.09/57.13 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0) |
% 289.09/57.13 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1)) & ! [v1: $i]
% 289.09/57.13 : ! [v2: $i] : ! [v3: $i] : ( ~
% 289.09/57.13 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 289.09/57.13 $i(v2) | ~ $i(v1) | ~
% 289.09/57.13 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) |
% 289.09/57.13 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) |
% 289.09/57.13 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2)) & ! [v1: $i]
% 289.09/57.13 : ! [v2: $i] : ! [v3: $i] : ( ~
% 289.09/57.13 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 289.09/57.13 $i(v2) | ~ $i(v1) | ~
% 289.09/57.13 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) | ~
% 289.09/57.13 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1) |
% 289.09/57.13 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3)))
% 289.09/57.13
% 289.09/57.13 (fact_real__add__mult__distrib)
% 289.09/57.13 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 289.09/57.13 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 289.09/57.13 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 289.09/57.13 [v7: $i] : ! [v8: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,
% 289.09/57.13 v5, v7) = v8) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v4, v1) = v5) | ~
% 289.09/57.13 (hAPP(v0, v3) = v4) | ~ (hAPP(v0, v2) = v6) | ~ $i(v3) | ~ $i(v2) | ~
% 289.09/57.13 $i(v1) | ? [v9: $i] : ? [v10: $i] :
% 289.09/57.13 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v2) = v9 & hAPP(v10,
% 289.09/57.13 v1) = v8 & hAPP(v0, v9) = v10 & $i(v10) & $i(v9) & $i(v8))))
% 289.09/57.13
% 289.09/57.13 (fact_real__average__minus__first)
% 289.09/57.13 $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 289.09/57.13 $i] : (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 289.09/57.13 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2) &
% 289.09/57.13 $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 289.09/57.13 [v7: $i] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v2) =
% 289.09/57.13 v6) | ~ (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v6, v4) = v7)
% 289.09/57.13 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v3) = v5) | ~
% 289.09/57.13 $i(v4) | ~ $i(v3) | ? [v8: $i] :
% 289.09/57.13 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v8, v2) = v7 &
% 289.09/57.13 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v3, v4) = v8 & $i(v8) &
% 289.09/57.13 $i(v7))))
% 289.09/57.13
% 289.09/57.13 (fact_real__average__minus__second)
% 289.09/57.13 $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 289.09/57.13 $i] : (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 289.09/57.13 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2) &
% 289.09/57.13 $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 289.09/57.13 [v7: $i] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v2) =
% 289.09/57.13 v6) | ~ (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v6, v3) = v7)
% 289.09/57.13 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v3) = v5) | ~
% 289.09/57.13 $i(v4) | ~ $i(v3) | ? [v8: $i] :
% 289.09/57.13 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v8, v2) = v7 &
% 289.09/57.13 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v4, v3) = v8 & $i(v8) &
% 289.09/57.13 $i(v7))))
% 289.09/57.13
% 289.09/57.13 (fact_real__divide__square__eq)
% 289.09/57.13 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 289.09/57.13 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 289.09/57.13 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 289.09/57.13 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v4, v5) = v6) | ~
% 289.09/57.13 (hAPP(v3, v2) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v0, v2) = v3) | ~
% 289.09/57.13 $i(v2) | ~ $i(v1) | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 289.09/57.13 v1, v2) = v6 & $i(v6))))
% 289.09/57.13
% 289.09/57.13 (fact_real__gt__half__sum)
% 289.09/57.13 $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 289.09/57.13 $i] : (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 289.09/57.13 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2) &
% 289.09/57.13 $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 289.09/57.13 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v3) = v5) | ~ $i(v4) |
% 289.09/57.13 ~ $i(v3) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v3) |
% 289.09/57.13 ? [v6: $i] : (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v2) =
% 289.09/57.13 v6 & $i(v6) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v3))))
% 289.09/57.13
% 289.09/57.13 (fact_real__le__eq__diff)
% 289.09/57.13 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 289.09/57.13 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 289.09/57.13 ! [v2: $i] : ! [v3: $i] : ( ~
% 289.09/57.13 (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v2, v1) = v3) | ~ $i(v2)
% 289.09/57.13 | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3,
% 289.09/57.13 v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1)) & !
% 289.09/57.13 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 289.09/57.13 (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v2, v1) = v3) | ~ $i(v2)
% 289.09/57.13 | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2,
% 289.09/57.13 v1) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0)))
% 289.09/57.13
% 289.09/57.13 (fact_real__less__half__sum)
% 289.09/57.14 $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 289.09/57.14 $i] : (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 289.09/57.14 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2) &
% 289.09/57.14 $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 289.09/57.14 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v3) = v5) | ~ $i(v4) |
% 289.09/57.14 ~ $i(v3) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v3) |
% 289.09/57.14 ? [v6: $i] : (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v2) =
% 289.09/57.14 v6 & $i(v6) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v6))))
% 289.09/57.14
% 289.09/57.14 (fact_real__mult__1)
% 289.09/57.14 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.09/57.14 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 289.09/57.14 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & hAPP(v0, v1) = v2 &
% 289.09/57.14 $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : (v4 = v3 | ~
% 289.09/57.14 (hAPP(v2, v3) = v4) | ~ $i(v3)))
% 289.09/57.14
% 289.09/57.14 (fact_real__mult__assoc)
% 289.09/57.14 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 289.09/57.14 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 289.09/57.14 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 289.09/57.14 [v7: $i] : ( ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v0,
% 289.09/57.14 v5) = v6) | ~ (hAPP(v0, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1)
% 289.09/57.14 | ? [v8: $i] : ? [v9: $i] : (hAPP(v8, v1) = v9 & hAPP(v4, v9) = v7 &
% 289.09/57.14 hAPP(v0, v2) = v8 & $i(v9) & $i(v8) & $i(v7))))
% 289.09/57.14
% 289.09/57.14 (fact_real__mult__commute)
% 289.09/57.14 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 289.09/57.14 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 289.09/57.14 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (hAPP(v3, v2) = v4) | ~
% 289.09/57.14 (hAPP(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ? [v5: $i] : (hAPP(v5, v1)
% 289.09/57.14 = v4 & hAPP(v0, v2) = v5 & $i(v5) & $i(v4))))
% 289.09/57.14
% 289.09/57.14 (fact_real__mult__le__cancel__iff1)
% 289.09/57.14 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 289.09/57.14 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 289.09/57.14 c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0) & !
% 289.09/57.14 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 289.09/57.14 $i] : ! [v8: $i] : ( ~ (hAPP(v7, v4) = v8) | ~ (hAPP(v5, v4) = v6) | ~
% 289.09/57.14 (hAPP(v1, v3) = v5) | ~ (hAPP(v1, v2) = v7) | ~ $i(v4) | ~ $i(v3) | ~
% 289.09/57.14 $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) | ~
% 289.09/57.14 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v8) |
% 289.09/57.14 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v2)) & ! [v2: $i]
% 289.09/57.14 : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 289.09/57.14 [v8: $i] : ( ~ (hAPP(v7, v4) = v8) | ~ (hAPP(v5, v4) = v6) | ~ (hAPP(v1,
% 289.09/57.14 v3) = v5) | ~ (hAPP(v1, v2) = v7) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2)
% 289.09/57.14 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) | ~
% 289.09/57.14 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v2) |
% 289.09/57.14 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v8)))
% 289.09/57.14
% 289.09/57.14 (fact_real__mult__le__cancel__iff2)
% 289.09/57.14 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 289.09/57.14 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 289.09/57.14 c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0) & !
% 289.09/57.14 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 289.09/57.14 $i] : ( ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v7) | ~ (hAPP(v1, v4)
% 289.09/57.14 = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 289.09/57.14 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) | ~
% 289.09/57.14 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v7) |
% 289.09/57.14 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v2)) & ! [v2: $i]
% 289.09/57.14 : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 289.09/57.14 (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v7) | ~ (hAPP(v1, v4) = v5) | ~
% 289.09/57.14 $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 289.09/57.14 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) | ~
% 289.09/57.14 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v2) |
% 289.09/57.14 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v7)))
% 289.09/57.14
% 289.09/57.14 (fact_real__mult__left__cancel)
% 289.09/57.14 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 289.09/57.14 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 289.09/57.14 c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0) & !
% 289.09/57.14 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v4 = v0
% 289.09/57.14 | v3 = v2 | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v1,
% 289.09/57.14 v4) = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2)))
% 289.09/57.14
% 289.09/57.14 (fact_real__mult__less__iff1)
% 289.09/57.14 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 289.09/57.14 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 289.09/57.14 c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0) & !
% 289.09/57.14 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 289.09/57.14 $i] : ! [v8: $i] : ( ~ (hAPP(v7, v4) = v8) | ~ (hAPP(v5, v4) = v6) | ~
% 289.09/57.14 (hAPP(v1, v3) = v5) | ~ (hAPP(v1, v2) = v7) | ~ $i(v4) | ~ $i(v3) | ~
% 289.09/57.14 $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v8) | ~
% 289.09/57.14 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 289.09/57.14 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v2)) & ! [v2: $i] :
% 289.09/57.14 ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8:
% 289.09/57.14 $i] : ( ~ (hAPP(v7, v4) = v8) | ~ (hAPP(v5, v4) = v6) | ~ (hAPP(v1, v3)
% 289.09/57.14 = v5) | ~ (hAPP(v1, v2) = v7) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 289.09/57.14 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v2) | ~
% 289.09/57.14 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 289.09/57.14 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v8)))
% 289.09/57.14
% 289.09/57.14 (fact_real__mult__less__mono2)
% 289.09/57.14 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 289.09/57.14 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 289.09/57.14 c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0) & !
% 289.09/57.14 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 289.09/57.14 $i] : ( ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v7) | ~ (hAPP(v1, v4)
% 289.09/57.14 = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 289.09/57.14 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v2) | ~
% 289.09/57.14 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 289.09/57.14 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v7)))
% 289.09/57.14
% 289.09/57.14 (fact_real__mult__order)
% 289.09/57.14 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 289.09/57.14 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 289.09/57.14 c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0) & !
% 289.09/57.14 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v4, v2) = v5)
% 289.09/57.14 | ~ (hAPP(v1, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~
% 289.09/57.14 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) | ~
% 289.09/57.14 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) |
% 289.09/57.14 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v5)))
% 289.09/57.14
% 289.09/57.14 (fact_real__mult__right__cancel)
% 289.09/57.14 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 289.09/57.14 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 289.09/57.14 c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0) & !
% 289.09/57.14 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 289.09/57.14 $i] : (v4 = v0 | v3 = v2 | ~ (hAPP(v7, v4) = v6) | ~ (hAPP(v5, v4) = v6)
% 289.09/57.14 | ~ (hAPP(v1, v3) = v5) | ~ (hAPP(v1, v2) = v7) | ~ $i(v4) | ~ $i(v3)
% 289.09/57.14 | ~ $i(v2)))
% 289.09/57.14
% 289.09/57.14 (fact_real__sqrt__abs)
% 289.09/57.14 $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ?
% 289.09/57.14 [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 289.09/57.14 (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 & c_Int_OBit1(c_Int_OPls)
% 289.09/57.14 = v1 & c_Int_OBit0(v1) = v2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 289.09/57.14 v2) = v3 & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] :
% 289.09/57.14 ( ~ (hAPP(v0, v4) = v5) | ~ $i(v4) | ? [v6: $i] : ? [v7: $i] :
% 289.09/57.14 (c_NthRoot_Osqrt(v6) = v7 & c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,
% 289.09/57.14 v4) = v7 & hAPP(v5, v3) = v6 & $i(v7) & $i(v6))))
% 289.09/57.14
% 289.09/57.14 (fact_real__sqrt__abs2)
% 289.09/57.14 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 289.09/57.14 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 289.09/57.14 ! [v2: $i] : ! [v3: $i] : ( ~ (hAPP(v2, v1) = v3) | ~ (hAPP(v0, v1) = v2)
% 289.09/57.14 | ~ $i(v1) | ? [v4: $i] : (c_NthRoot_Osqrt(v3) = v4 &
% 289.09/57.14 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1) = v4 & $i(v4))))
% 289.09/57.14
% 289.09/57.14 (fact_real__sqrt__eq__0__iff)
% 289.09/57.14 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 289.09/57.14 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 289.09/57.14 (v1 = v0 | ~ (c_NthRoot_Osqrt(v1) = v0) | ~ $i(v1)) & ! [v1: $i] : (v1 =
% 289.09/57.14 v0 | ~ (c_NthRoot_Osqrt(v0) = v1)))
% 289.09/57.14
% 289.09/57.14 (fact_real__sqrt__eq__1__iff)
% 289.09/57.14 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 289.09/57.14 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : (v1
% 289.09/57.14 = v0 | ~ (c_NthRoot_Osqrt(v1) = v0) | ~ $i(v1)) & ! [v1: $i] : (v1 = v0
% 289.09/57.14 | ~ (c_NthRoot_Osqrt(v0) = v1)))
% 289.09/57.14
% 289.09/57.14 (fact_real__sqrt__eq__zero__cancel)
% 289.09/57.14 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 289.09/57.14 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 289.09/57.14 (v1 = v0 | ~ (c_NthRoot_Osqrt(v1) = v0) | ~ $i(v1) | ~
% 289.09/57.14 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1)))
% 289.09/57.14
% 289.09/57.14 (fact_real__sqrt__ge__0__iff)
% 289.09/57.14 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 289.09/57.14 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 289.09/57.14 ! [v2: $i] : ( ~ (c_NthRoot_Osqrt(v1) = v2) | ~ $i(v1) | ~
% 289.09/57.14 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) |
% 289.09/57.14 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1)) & ! [v1: $i]
% 289.09/57.14 : ! [v2: $i] : ( ~ (c_NthRoot_Osqrt(v1) = v2) | ~ $i(v1) | ~
% 289.09/57.14 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1) |
% 289.09/57.14 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2)))
% 289.09/57.14
% 289.09/57.14 (fact_real__sqrt__ge__1__iff)
% 289.09/57.14 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 289.09/57.14 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : !
% 289.09/57.14 [v2: $i] : ( ~ (c_NthRoot_Osqrt(v1) = v2) | ~ $i(v1) | ~
% 289.09/57.14 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) |
% 289.09/57.14 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1)) & ! [v1: $i]
% 289.09/57.14 : ! [v2: $i] : ( ~ (c_NthRoot_Osqrt(v1) = v2) | ~ $i(v1) | ~
% 289.09/57.14 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1) |
% 289.09/57.14 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2)))
% 289.09/57.14
% 289.09/57.14 (fact_real__sqrt__ge__abs1)
% 289.09/57.14 $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ?
% 289.09/57.14 [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 289.09/57.14 (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 & c_Int_OBit1(c_Int_OPls)
% 289.09/57.14 = v1 & c_Int_OBit0(v1) = v2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 289.09/57.14 v2) = v3 & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] :
% 289.09/57.14 ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ( ~
% 289.09/57.14 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v7, v9) = v10) | ~
% 289.09/57.14 (hAPP(v8, v3) = v9) | ~ (hAPP(v6, v3) = v7) | ~ (hAPP(v0, v5) = v6) | ~
% 289.09/57.14 (hAPP(v0, v4) = v8) | ~ $i(v5) | ~ $i(v4) | ? [v11: $i] : ? [v12: $i]
% 289.09/57.14 : (c_NthRoot_Osqrt(v10) = v12 &
% 289.09/57.14 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v5) = v11 & $i(v12) &
% 289.09/57.14 $i(v11) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v11,
% 289.09/57.14 v12))))
% 289.09/57.14
% 289.09/57.14 (fact_real__sqrt__ge__abs2)
% 289.09/57.14 $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ?
% 289.09/57.14 [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 289.09/57.14 (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 & c_Int_OBit1(c_Int_OPls)
% 289.09/57.14 = v1 & c_Int_OBit0(v1) = v2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 289.09/57.14 v2) = v3 & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] :
% 289.09/57.14 ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ( ~
% 289.09/57.14 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v7, v9) = v10) | ~
% 289.09/57.14 (hAPP(v8, v3) = v9) | ~ (hAPP(v6, v3) = v7) | ~ (hAPP(v0, v5) = v8) | ~
% 289.09/57.14 (hAPP(v0, v4) = v6) | ~ $i(v5) | ~ $i(v4) | ? [v11: $i] : ? [v12: $i]
% 289.09/57.14 : (c_NthRoot_Osqrt(v10) = v12 &
% 289.09/57.14 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v5) = v11 & $i(v12) &
% 289.09/57.14 $i(v11) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v11,
% 289.09/57.14 v12))))
% 289.09/57.14
% 289.09/57.14 (fact_real__sqrt__ge__one)
% 289.09/57.14 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 289.09/57.14 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : !
% 289.09/57.14 [v2: $i] : ( ~ (c_NthRoot_Osqrt(v1) = v2) | ~ $i(v1) | ~
% 289.09/57.14 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1) |
% 289.09/57.14 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2)))
% 289.09/57.14
% 289.09/57.14 (fact_real__sqrt__ge__zero)
% 289.09/57.14 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 289.09/57.14 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 289.09/57.14 ! [v2: $i] : ( ~ (c_NthRoot_Osqrt(v1) = v2) | ~ $i(v1) | ~
% 289.09/57.14 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1) |
% 289.09/57.14 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2)))
% 289.09/57.14
% 289.09/57.14 (fact_real__sqrt__gt__0__iff)
% 289.09/57.14 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 289.09/57.14 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 289.09/57.14 ! [v2: $i] : ( ~ (c_NthRoot_Osqrt(v1) = v2) | ~ $i(v1) | ~
% 289.09/57.14 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) |
% 289.09/57.14 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1)) & ! [v1: $i] :
% 289.09/57.14 ! [v2: $i] : ( ~ (c_NthRoot_Osqrt(v1) = v2) | ~ $i(v1) | ~
% 289.09/57.14 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) |
% 289.09/57.14 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2)))
% 289.09/57.14
% 289.09/57.14 (fact_real__sqrt__gt__1__iff)
% 289.09/57.14 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 289.09/57.14 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : !
% 289.09/57.14 [v2: $i] : ( ~ (c_NthRoot_Osqrt(v1) = v2) | ~ $i(v1) | ~
% 289.09/57.14 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) |
% 289.09/57.14 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1)) & ! [v1: $i] :
% 289.09/57.14 ! [v2: $i] : ( ~ (c_NthRoot_Osqrt(v1) = v2) | ~ $i(v1) | ~
% 289.09/57.14 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) |
% 289.09/57.14 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2)))
% 289.09/57.14
% 289.09/57.14 (fact_real__sqrt__gt__zero)
% 289.09/57.15 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 289.09/57.15 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 289.09/57.15 ! [v2: $i] : ( ~ (c_NthRoot_Osqrt(v1) = v2) | ~ $i(v1) | ~
% 289.09/57.15 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) |
% 289.09/57.15 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2)))
% 289.09/57.15
% 289.09/57.15 (fact_real__sqrt__le__0__iff)
% 289.09/57.15 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 289.09/57.15 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 289.09/57.15 ! [v2: $i] : ( ~ (c_NthRoot_Osqrt(v1) = v2) | ~ $i(v1) | ~
% 289.09/57.15 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0) |
% 289.09/57.15 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0)) & ! [v1: $i]
% 289.09/57.15 : ! [v2: $i] : ( ~ (c_NthRoot_Osqrt(v1) = v2) | ~ $i(v1) | ~
% 289.09/57.15 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) |
% 289.09/57.15 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0)))
% 289.09/57.15
% 289.09/57.15 (fact_real__sqrt__le__1__iff)
% 289.09/57.15 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 289.09/57.15 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : !
% 289.09/57.15 [v2: $i] : ( ~ (c_NthRoot_Osqrt(v1) = v2) | ~ $i(v1) | ~
% 289.09/57.15 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0) |
% 289.09/57.15 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0)) & ! [v1: $i]
% 289.09/57.15 : ! [v2: $i] : ( ~ (c_NthRoot_Osqrt(v1) = v2) | ~ $i(v1) | ~
% 289.09/57.15 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) |
% 289.09/57.15 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0)))
% 289.09/57.15
% 289.09/57.15 (fact_real__sqrt__lt__0__iff)
% 289.09/57.15 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 289.09/57.15 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 289.09/57.15 ! [v2: $i] : ( ~ (c_NthRoot_Osqrt(v1) = v2) | ~ $i(v1) | ~
% 289.09/57.15 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v0) |
% 289.09/57.15 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0)) & ! [v1: $i] :
% 289.09/57.15 ! [v2: $i] : ( ~ (c_NthRoot_Osqrt(v1) = v2) | ~ $i(v1) | ~
% 289.09/57.15 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) |
% 289.09/57.15 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v0)))
% 289.09/57.15
% 289.09/57.15 (fact_real__sqrt__lt__1__iff)
% 289.09/57.15 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 289.09/57.15 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : !
% 289.09/57.15 [v2: $i] : ( ~ (c_NthRoot_Osqrt(v1) = v2) | ~ $i(v1) | ~
% 289.09/57.15 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v0) |
% 289.09/57.15 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0)) & ! [v1: $i] :
% 289.09/57.15 ! [v2: $i] : ( ~ (c_NthRoot_Osqrt(v1) = v2) | ~ $i(v1) | ~
% 289.09/57.15 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) |
% 289.09/57.15 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v0)))
% 289.09/57.15
% 289.09/57.15 (fact_real__sqrt__mult)
% 289.09/57.15 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 289.09/57.15 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 289.09/57.15 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 289.09/57.15 (c_NthRoot_Osqrt(v2) = v3) | ~ (c_NthRoot_Osqrt(v1) = v5) | ~ (hAPP(v4,
% 289.09/57.15 v5) = v6) | ~ (hAPP(v0, v3) = v4) | ~ $i(v2) | ~ $i(v1) | ? [v7:
% 289.09/57.15 $i] : ? [v8: $i] : (c_NthRoot_Osqrt(v8) = v6 & hAPP(v7, v1) = v8 &
% 289.09/57.15 hAPP(v0, v2) = v7 & $i(v8) & $i(v7) & $i(v6))))
% 289.09/57.15
% 289.09/57.15 (fact_real__sqrt__mult__self__sum__ge__zero)
% 289.09/57.15 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 289.09/57.15 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 289.09/57.15 c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0) & !
% 289.09/57.15 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 289.09/57.15 $i] : ! [v8: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5,
% 289.09/57.15 v7) = v8) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v4, v3) = v5) | ~
% 289.09/57.15 (hAPP(v1, v3) = v4) | ~ (hAPP(v1, v2) = v6) | ~ $i(v3) | ~ $i(v2) | ?
% 289.09/57.15 [v9: $i] : (c_NthRoot_Osqrt(v8) = v9 & $i(v9) &
% 289.09/57.15 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v9))))
% 289.09/57.15
% 289.09/57.15 (fact_real__sqrt__not__eq__zero)
% 289.09/57.15 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 289.09/57.15 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : (
% 289.09/57.15 ~ (c_NthRoot_Osqrt(v1) = v0) | ~ $i(v1) | ~
% 289.09/57.15 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1)))
% 289.09/57.15
% 289.09/57.15 (fact_real__sqrt__one)
% 289.09/57.15 $i(tc_RealDef_Oreal) & ? [v0: $i] : (c_NthRoot_Osqrt(v0) = v0 &
% 289.09/57.15 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0))
% 289.09/57.15
% 289.09/57.15 (fact_real__sqrt__pow2)
% 289.09/57.15 $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ?
% 289.09/57.15 [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 289.09/57.15 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 289.09/57.15 c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v1 &
% 289.09/57.15 c_Int_OBit1(c_Int_OPls) = v2 & c_Int_OBit0(v2) = v3 &
% 289.09/57.15 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v3) = v4 & $i(v4) & $i(v3) &
% 289.09/57.15 $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : ( ~
% 289.09/57.15 (c_NthRoot_Osqrt(v5) = v6) | ~ $i(v5) | ~
% 289.09/57.15 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v5) | ? [v7: $i]
% 289.09/57.15 : (hAPP(v7, v4) = v5 & hAPP(v1, v6) = v7 & $i(v7))))
% 289.09/57.15
% 289.09/57.15 (fact_real__sqrt__pow2__gt__zero)
% 289.09/57.15 $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ?
% 289.09/57.15 [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 289.09/57.15 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 289.09/57.15 c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v1 &
% 289.09/57.15 c_Int_OBit1(c_Int_OPls) = v2 & c_Int_OBit0(v2) = v3 &
% 289.09/57.15 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v3) = v4 & $i(v4) & $i(v3) &
% 289.09/57.15 $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : ( ~
% 289.09/57.15 (c_NthRoot_Osqrt(v5) = v6) | ~ $i(v5) | ~
% 289.09/57.15 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v5) | ? [v7: $i] : ?
% 289.09/57.15 [v8: $i] : (hAPP(v7, v4) = v8 & hAPP(v1, v6) = v7 & $i(v8) & $i(v7) &
% 289.09/57.15 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v8))))
% 289.09/57.15
% 289.09/57.15 (fact_real__sqrt__pow2__iff)
% 289.09/57.15 $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ?
% 289.09/57.15 [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 289.09/57.15 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v4 &
% 289.09/57.15 c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 &
% 289.09/57.15 c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 289.09/57.15 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & $i(v4) & $i(v3) &
% 289.09/57.15 $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : ( ~
% 289.09/57.15 (c_NthRoot_Osqrt(v5) = v6) | ~ $i(v5) | ~
% 289.09/57.15 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v5) | ? [v7: $i]
% 289.09/57.15 : (hAPP(v7, v3) = v5 & hAPP(v0, v6) = v7 & $i(v7))) & ! [v5: $i] : !
% 289.09/57.15 [v6: $i] : ( ~ (c_NthRoot_Osqrt(v5) = v6) | ~ $i(v5) |
% 289.09/57.15 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v5) | ? [v7: $i]
% 289.09/57.15 : ? [v8: $i] : ( ~ (v8 = v5) & hAPP(v7, v3) = v8 & hAPP(v0, v6) = v7 &
% 289.09/57.15 $i(v8) & $i(v7))))
% 289.09/57.15
% 289.09/57.15 (fact_real__sqrt__power)
% 289.09/57.15 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 289.09/57.15 (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 289.09/57.15 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 289.09/57.15 (c_NthRoot_Osqrt(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v0, v3) =
% 289.09/57.15 v4) | ~ $i(v2) | ~ $i(v1) | ? [v6: $i] : ? [v7: $i] :
% 289.09/57.15 (c_NthRoot_Osqrt(v7) = v5 & hAPP(v6, v1) = v7 & hAPP(v0, v2) = v6 & $i(v7)
% 289.09/57.15 & $i(v6) & $i(v5))))
% 289.09/57.15
% 289.09/57.15 (fact_real__sqrt__sum__squares__eq__cancel)
% 289.09/57.15 $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ?
% 289.09/57.15 [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 289.09/57.15 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v4 &
% 289.09/57.15 c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 &
% 289.09/57.15 c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 289.09/57.15 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & $i(v4) & $i(v3) &
% 289.09/57.15 $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8:
% 289.09/57.15 $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : (v5 = v4 | ~
% 289.09/57.15 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v8, v10) = v11) | ~
% 289.09/57.15 (hAPP(v9, v3) = v10) | ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v0, v6) = v7) |
% 289.09/57.15 ~ (hAPP(v0, v5) = v9) | ~ $i(v6) | ~ $i(v5) | ? [v12: $i] : ( ~ (v12 =
% 289.09/57.15 v6) & c_NthRoot_Osqrt(v11) = v12 & $i(v12))))
% 289.09/57.15
% 289.09/57.15 (fact_real__sqrt__sum__squares__eq__cancel2)
% 289.09/57.15 $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ?
% 289.09/57.15 [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 289.09/57.15 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v4 &
% 289.09/57.15 c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 &
% 289.09/57.15 c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 289.09/57.15 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & $i(v4) & $i(v3) &
% 289.09/57.15 $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8:
% 289.09/57.15 $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : (v6 = v4 | ~
% 289.09/57.15 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v8, v10) = v11) | ~
% 289.09/57.15 (hAPP(v9, v3) = v10) | ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v0, v6) = v7) |
% 289.09/57.15 ~ (hAPP(v0, v5) = v9) | ~ $i(v6) | ~ $i(v5) | ? [v12: $i] : ( ~ (v12 =
% 289.09/57.15 v5) & c_NthRoot_Osqrt(v11) = v12 & $i(v12))))
% 289.09/57.15
% 289.09/57.15 (fact_real__sqrt__sum__squares__ge1)
% 289.09/57.15 $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ?
% 289.09/57.15 [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 289.09/57.15 (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 & c_Int_OBit1(c_Int_OPls)
% 289.09/57.15 = v1 & c_Int_OBit0(v1) = v2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 289.09/57.15 v2) = v3 & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] :
% 289.09/57.15 ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ( ~
% 289.09/57.15 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v7, v9) = v10) | ~
% 289.09/57.15 (hAPP(v8, v3) = v9) | ~ (hAPP(v6, v3) = v7) | ~ (hAPP(v0, v5) = v6) | ~
% 289.09/57.15 (hAPP(v0, v4) = v8) | ~ $i(v5) | ~ $i(v4) | ? [v11: $i] :
% 289.09/57.15 (c_NthRoot_Osqrt(v10) = v11 & $i(v11) &
% 289.09/57.15 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v11))))
% 289.09/57.15
% 289.09/57.15 (fact_real__sqrt__sum__squares__ge2)
% 289.65/57.15 $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ?
% 289.65/57.15 [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 289.65/57.15 (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 & c_Int_OBit1(c_Int_OPls)
% 289.65/57.15 = v1 & c_Int_OBit0(v1) = v2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 289.65/57.15 v2) = v3 & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] :
% 289.65/57.15 ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ( ~
% 289.65/57.15 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v7, v9) = v10) | ~
% 289.65/57.15 (hAPP(v8, v3) = v9) | ~ (hAPP(v6, v3) = v7) | ~ (hAPP(v0, v5) = v8) | ~
% 289.65/57.15 (hAPP(v0, v4) = v6) | ~ $i(v5) | ~ $i(v4) | ? [v11: $i] :
% 289.65/57.15 (c_NthRoot_Osqrt(v10) = v11 & $i(v11) &
% 289.65/57.15 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v11))))
% 289.65/57.15
% 289.65/57.15 (fact_real__sqrt__sum__squares__ge__zero)
% 289.65/57.15 $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ?
% 289.65/57.15 [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 289.65/57.15 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 289.65/57.15 c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v1 &
% 289.65/57.15 c_Int_OBit1(c_Int_OPls) = v2 & c_Int_OBit0(v2) = v3 &
% 289.65/57.15 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v3) = v4 & $i(v4) & $i(v3) &
% 289.65/57.15 $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8:
% 289.65/57.15 $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~
% 289.65/57.15 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v8, v10) = v11) | ~
% 289.65/57.15 (hAPP(v9, v4) = v10) | ~ (hAPP(v7, v4) = v8) | ~ (hAPP(v1, v6) = v7) |
% 289.65/57.15 ~ (hAPP(v1, v5) = v9) | ~ $i(v6) | ~ $i(v5) | ? [v12: $i] :
% 289.65/57.15 (c_NthRoot_Osqrt(v11) = v12 & $i(v12) &
% 289.65/57.15 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v12))))
% 289.65/57.15
% 289.65/57.15 (fact_real__sqrt__sum__squares__less)
% 289.65/57.15 $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ?
% 289.65/57.15 [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 289.65/57.15 (c_NthRoot_Osqrt(v2) = v3 & c_Power_Opower__class_Opower(tc_RealDef_Oreal) =
% 289.65/57.15 v4 & c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 289.65/57.15 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v5 &
% 289.65/57.15 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v5) &
% 289.65/57.15 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v6: $i] : ! [v7: $i] : !
% 289.65/57.15 [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ! [v12: $i] : !
% 289.65/57.15 [v13: $i] : ! [v14: $i] : ( ~
% 289.65/57.15 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v7, v3) = v9) | ~
% 289.65/57.15 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v11, v13) = v14) | ~
% 289.65/57.15 (hAPP(v12, v5) = v13) | ~ (hAPP(v10, v5) = v11) | ~ (hAPP(v4, v8) = v10)
% 289.65/57.15 | ~ (hAPP(v4, v6) = v12) | ~ $i(v8) | ~ $i(v7) | ~ $i(v6) | ? [v15:
% 289.65/57.15 $i] : ? [v16: $i] : ? [v17: $i] : ((c_NthRoot_Osqrt(v14) = v17 &
% 289.65/57.15 $i(v17) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v17, v7)) |
% 289.65/57.15 (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v8) = v15 & $i(v15) & ~
% 289.65/57.15 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v15, v9)) |
% 289.65/57.15 (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v6) = v16 & $i(v16) & ~
% 289.65/57.15 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v16, v9)))))
% 289.65/57.15
% 289.65/57.15 (fact_real__sqrt__sum__squares__mult__ge__zero)
% 289.65/57.15 $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ?
% 289.65/57.15 [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 289.65/57.15 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 289.65/57.15 c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v2 &
% 289.65/57.15 c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 289.65/57.15 c_Int_OBit1(c_Int_OPls) = v3 & c_Int_OBit0(v3) = v4 &
% 289.65/57.15 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v4) = v5 & $i(v5) & $i(v4) &
% 289.65/57.15 $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v6: $i] : ! [v7: $i] : ! [v8: $i]
% 289.65/57.15 : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ! [v12: $i] : ! [v13: $i] :
% 289.65/57.15 ! [v14: $i] : ! [v15: $i] : ! [v16: $i] : ! [v17: $i] : ! [v18: $i] : !
% 289.65/57.15 [v19: $i] : ! [v20: $i] : ! [v21: $i] : ( ~
% 289.65/57.15 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v17, v19) = v20) | ~
% 289.65/57.15 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v11, v13) = v14) | ~
% 289.65/57.15 (hAPP(v18, v5) = v19) | ~ (hAPP(v16, v5) = v17) | ~ (hAPP(v15, v20) =
% 289.65/57.15 v21) | ~ (hAPP(v12, v5) = v13) | ~ (hAPP(v10, v5) = v11) | ~
% 289.65/57.15 (hAPP(v2, v9) = v10) | ~ (hAPP(v2, v8) = v12) | ~ (hAPP(v2, v7) = v16) |
% 289.65/57.15 ~ (hAPP(v2, v6) = v18) | ~ (hAPP(v1, v14) = v15) | ~ $i(v9) | ~ $i(v8)
% 289.65/57.15 | ~ $i(v7) | ~ $i(v6) | ? [v22: $i] : (c_NthRoot_Osqrt(v21) = v22 &
% 289.65/57.15 $i(v22) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 289.65/57.15 v22))))
% 289.65/57.15
% 289.65/57.15 (fact_real__sqrt__sum__squares__mult__squared__eq)
% 289.65/57.16 $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ?
% 289.65/57.16 [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 289.65/57.16 (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 &
% 289.65/57.16 c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 289.65/57.16 c_Int_OBit1(c_Int_OPls) = v2 & c_Int_OBit0(v2) = v3 &
% 289.65/57.16 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v3) = v4 & $i(v4) & $i(v3) &
% 289.65/57.16 $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8:
% 289.65/57.16 $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ! [v12: $i] : ! [v13:
% 289.65/57.16 $i] : ! [v14: $i] : ! [v15: $i] : ! [v16: $i] : ! [v17: $i] : ! [v18:
% 289.65/57.16 $i] : ! [v19: $i] : ! [v20: $i] : ( ~
% 289.65/57.16 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v16, v18) = v19) | ~
% 289.65/57.16 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v10, v12) = v13) | ~
% 289.65/57.16 (hAPP(v17, v4) = v18) | ~ (hAPP(v15, v4) = v16) | ~ (hAPP(v14, v19) =
% 289.65/57.16 v20) | ~ (hAPP(v11, v4) = v12) | ~ (hAPP(v9, v4) = v10) | ~ (hAPP(v1,
% 289.65/57.16 v13) = v14) | ~ (hAPP(v0, v8) = v9) | ~ (hAPP(v0, v7) = v11) | ~
% 289.65/57.16 (hAPP(v0, v6) = v15) | ~ (hAPP(v0, v5) = v17) | ~ $i(v8) | ~ $i(v7) |
% 289.65/57.16 ~ $i(v6) | ~ $i(v5) | ? [v21: $i] : ? [v22: $i] : (c_NthRoot_Osqrt(v20)
% 289.65/57.16 = v21 & hAPP(v22, v4) = v20 & hAPP(v0, v21) = v22 & $i(v22) & $i(v21) &
% 289.65/57.16 $i(v20))))
% 289.65/57.16
% 289.65/57.16 (fact_real__sqrt__sum__squares__triangle__ineq)
% 289.65/57.16 $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ?
% 289.65/57.16 [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 289.65/57.16 (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 & c_Int_OBit1(c_Int_OPls)
% 289.65/57.16 = v1 & c_Int_OBit0(v1) = v2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 289.65/57.16 v2) = v3 & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] :
% 289.65/57.16 ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : !
% 289.65/57.16 [v11: $i] : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15: $i] : !
% 289.65/57.16 [v16: $i] : ! [v17: $i] : ! [v18: $i] : ! [v19: $i] : ! [v20: $i] : ( ~
% 289.65/57.16 (c_NthRoot_Osqrt(v18) = v19) | ~ (c_NthRoot_Osqrt(v12) = v13) | ~
% 289.65/57.16 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v15, v17) = v18) | ~
% 289.65/57.16 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v13, v19) = v20) | ~
% 289.65/57.16 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v9, v11) = v12) | ~
% 289.65/57.16 (hAPP(v16, v3) = v17) | ~ (hAPP(v14, v3) = v15) | ~ (hAPP(v10, v3) =
% 289.65/57.16 v11) | ~ (hAPP(v8, v3) = v9) | ~ (hAPP(v0, v7) = v8) | ~ (hAPP(v0,
% 289.65/57.16 v6) = v14) | ~ (hAPP(v0, v5) = v10) | ~ (hAPP(v0, v4) = v16) | ~
% 289.65/57.16 $i(v7) | ~ $i(v6) | ~ $i(v5) | ~ $i(v4) | ? [v21: $i] : ? [v22: $i] :
% 289.65/57.16 ? [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] :
% 289.65/57.16 ? [v28: $i] : (c_NthRoot_Osqrt(v27) = v28 &
% 289.65/57.16 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v23, v26) = v27 &
% 289.65/57.16 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v7, v6) = v21 &
% 289.65/57.16 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v4) = v24 & hAPP(v25,
% 289.65/57.16 v3) = v26 & hAPP(v22, v3) = v23 & hAPP(v0, v24) = v25 & hAPP(v0, v21)
% 289.65/57.16 = v22 & $i(v28) & $i(v27) & $i(v26) & $i(v25) & $i(v24) & $i(v23) &
% 289.65/57.16 $i(v22) & $i(v21) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 289.65/57.16 v28, v20))))
% 289.65/57.16
% 289.65/57.16 (fact_real__sqrt__two__ge__zero)
% 289.65/57.16 $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 289.65/57.16 $i] : ? [v3: $i] : ? [v4: $i] : (c_NthRoot_Osqrt(v3) = v4 &
% 289.65/57.16 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & c_Int_OBit1(c_Int_OPls)
% 289.65/57.16 = v1 & c_Int_OBit0(v1) = v2 &
% 289.65/57.16 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 & $i(v4) &
% 289.65/57.16 $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 289.65/57.16 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v4))
% 289.65/57.16
% 289.65/57.16 (fact_real__sqrt__two__gt__one)
% 289.65/57.16 $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 289.65/57.16 $i] : ? [v3: $i] : ? [v4: $i] : (c_NthRoot_Osqrt(v3) = v4 &
% 289.65/57.16 c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 289.65/57.16 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 289.65/57.16 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v4) & $i(v3) & $i(v2)
% 289.65/57.16 & $i(v1) & $i(v0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4))
% 289.65/57.16
% 289.65/57.16 (fact_real__sqrt__two__gt__zero)
% 289.65/57.16 $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 289.65/57.16 $i] : ? [v3: $i] : ? [v4: $i] : (c_NthRoot_Osqrt(v3) = v4 &
% 289.65/57.16 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & c_Int_OBit1(c_Int_OPls)
% 289.65/57.16 = v1 & c_Int_OBit0(v1) = v2 &
% 289.65/57.16 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 & $i(v4) &
% 289.65/57.16 $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 289.65/57.16 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4))
% 289.65/57.16
% 289.65/57.16 (fact_real__sqrt__unique)
% 289.65/57.16 $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ?
% 289.65/57.16 [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 289.65/57.16 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v4 &
% 289.65/57.16 c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 &
% 289.65/57.16 c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 289.65/57.16 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & $i(v4) & $i(v3) &
% 289.65/57.16 $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8:
% 289.65/57.16 $i] : (v8 = v6 | ~ (c_NthRoot_Osqrt(v5) = v8) | ~ (hAPP(v0, v6) = v7) |
% 289.65/57.16 ~ $i(v6) | ~ $i(v5) | ~
% 289.65/57.16 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v6) | ? [v9: $i]
% 289.65/57.16 : ( ~ (v9 = v5) & hAPP(v7, v3) = v9 & $i(v9))))
% 289.65/57.16
% 289.65/57.16 (fact_real__sqrt__zero)
% 289.65/57.16 $i(tc_RealDef_Oreal) & ? [v0: $i] : (c_NthRoot_Osqrt(v0) = v0 &
% 289.65/57.16 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0))
% 289.65/57.16
% 289.65/57.16 (fact_real__sum__of__halves)
% 289.65/57.16 $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 289.65/57.16 $i] : (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 289.65/57.16 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 & $i(v2) &
% 289.65/57.16 $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 = v3 | ~
% 289.65/57.16 (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v3, v2) = v4) | ~
% 289.65/57.16 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v4) = v5) | ~ $i(v3)))
% 289.65/57.16
% 289.65/57.16 (fact_real__sum__squared__expand)
% 289.65/57.16 $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ?
% 289.65/57.16 [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i]
% 289.65/57.16 : (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 &
% 289.65/57.16 c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v4 &
% 289.65/57.16 c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 289.65/57.16 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 &
% 289.65/57.16 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v5 & hAPP(v4, v5) =
% 289.65/57.16 v6 & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v7:
% 289.65/57.16 $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ! [v12:
% 289.65/57.16 $i] : ! [v13: $i] : ! [v14: $i] : ! [v15: $i] : ! [v16: $i] : ! [v17:
% 289.65/57.16 $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v13, v16) = v17)
% 289.65/57.16 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v10, v12) = v13) | ~
% 289.65/57.16 (hAPP(v15, v7) = v16) | ~ (hAPP(v11, v3) = v12) | ~ (hAPP(v9, v3) = v10)
% 289.65/57.16 | ~ (hAPP(v6, v8) = v14) | ~ (hAPP(v4, v14) = v15) | ~ (hAPP(v0, v8) =
% 289.65/57.16 v9) | ~ (hAPP(v0, v7) = v11) | ~ $i(v8) | ~ $i(v7) | ? [v18: $i] :
% 289.65/57.16 ? [v19: $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v8, v7) = v18
% 289.65/57.16 & hAPP(v19, v3) = v17 & hAPP(v0, v18) = v19 & $i(v19) & $i(v18) &
% 289.65/57.16 $i(v17))))
% 289.65/57.16
% 289.65/57.16 (fact_real__two__squares__add__zero__iff)
% 289.65/57.16 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 289.65/57.16 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 289.65/57.16 c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 289.65/57.16 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 289.65/57.16 $i] : (v3 = v1 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v7)
% 289.65/57.16 = v1) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v4, v3) = v5) | ~ (hAPP(v0,
% 289.65/57.16 v3) = v4) | ~ (hAPP(v0, v2) = v6) | ~ $i(v3) | ~ $i(v2)) & ! [v2:
% 289.65/57.16 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 289.65/57.16 : (v2 = v1 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v7) = v1)
% 289.65/57.16 | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v4, v3) = v5) | ~ (hAPP(v0, v3) = v4)
% 289.65/57.16 | ~ (hAPP(v0, v2) = v6) | ~ $i(v3) | ~ $i(v2)) & ! [v2: $i] : ! [v3:
% 289.65/57.16 $i] : ! [v4: $i] : (v4 = v1 | ~
% 289.65/57.16 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v3) = v4) | ~
% 289.65/57.16 (hAPP(v2, v1) = v3) | ~ (hAPP(v0, v1) = v2)))
% 289.65/57.16
% 289.65/57.16 (fact_real__zero__not__eq__one)
% 289.65/57.16 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) &
% 289.65/57.16 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 289.65/57.16 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0))
% 289.65/57.16
% 289.65/57.16 (fact_realpow__num__eq__if)
% 289.65/57.16 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 289.65/57.16 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 &
% 289.65/57.16 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v1) & $i(v0) & ! [v2: $i]
% 289.65/57.16 : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 289.65/57.16 [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~
% 289.65/57.16 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v1) = v9) | ~
% 289.65/57.16 (c_Power_Opower__class_Opower(v4) = v5) | ~
% 289.65/57.16 (c_Groups_Otimes__class_Otimes(v4) = v7) | ~ (hAPP(v8, v10) = v11) | ~
% 289.65/57.16 (hAPP(v7, v2) = v8) | ~ (hAPP(v6, v9) = v10) | ~ (hAPP(v5, v2) = v6) |
% 289.65/57.16 ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ class_Power_Opower(v4) | ? [v12:
% 289.65/57.16 $i] : ? [v13: $i] : (( ~ (v3 = v0) | (v13 = v12 &
% 289.65/57.16 c_Groups_Oone__class_Oone(v4) = v12 & hAPP(v6, v0) = v12 & $i(v12)))
% 289.65/57.16 & (v3 = v0 | (v12 = v11 & hAPP(v6, v3) = v11 & $i(v11))))))
% 289.65/57.16
% 289.65/57.16 (fact_realpow__two__diff)
% 289.65/57.16 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.65/57.16 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & c_Nat_OSuc(v1) = v2 &
% 289.65/57.16 c_Nat_OSuc(v0) = v1 & $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] :
% 289.65/57.16 ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : !
% 289.65/57.16 [v10: $i] : ! [v11: $i] : ( ~ (c_Groups_Ominus__class_Ominus(v5, v8, v10) =
% 289.65/57.16 v11) | ~ (c_Power_Opower__class_Opower(v5) = v6) | ~ (hAPP(v9, v2) =
% 289.65/57.16 v10) | ~ (hAPP(v7, v2) = v8) | ~ (hAPP(v6, v4) = v7) | ~ (hAPP(v6,
% 289.65/57.16 v3) = v9) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~
% 289.65/57.16 class_Rings_Ocomm__ring__1(v5) | ? [v12: $i] : ? [v13: $i] : ? [v14:
% 289.65/57.16 $i] : ? [v15: $i] : (c_Groups_Ominus__class_Ominus(v5, v4, v3) = v13 &
% 289.65/57.16 c_Groups_Oplus__class_Oplus(v5, v4, v3) = v15 &
% 289.65/57.16 c_Groups_Otimes__class_Otimes(v5) = v12 & hAPP(v14, v15) = v11 &
% 289.65/57.16 hAPP(v12, v13) = v14 & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 289.65/57.16 $i(v11))))
% 289.65/57.16
% 289.65/57.16 (fact_realpow__two__sum__zero__iff)
% 289.65/57.16 $i(tc_Nat_Onat) & $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ?
% 289.65/57.16 [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 289.65/57.16 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v4 &
% 289.65/57.16 c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 &
% 289.65/57.16 c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 289.65/57.16 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & $i(v4) & $i(v3) &
% 289.65/57.16 $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8:
% 289.65/57.16 $i] : ! [v9: $i] : ! [v10: $i] : (v6 = v4 | ~
% 289.65/57.16 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v8, v10) = v4) | ~
% 289.65/57.16 (hAPP(v9, v3) = v10) | ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v0, v6) = v7) |
% 289.65/57.16 ~ (hAPP(v0, v5) = v9) | ~ $i(v6) | ~ $i(v5)) & ! [v5: $i] : ! [v6: $i]
% 289.65/57.16 : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : (v5 = v4 | ~
% 289.65/57.16 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v8, v10) = v4) | ~
% 289.65/57.16 (hAPP(v9, v3) = v10) | ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v0, v6) = v7) |
% 289.65/57.16 ~ (hAPP(v0, v5) = v9) | ~ $i(v6) | ~ $i(v5)) & ! [v5: $i] : ! [v6: $i]
% 289.65/57.16 : ! [v7: $i] : (v7 = v4 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,
% 289.65/57.16 v6, v6) = v7) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v0, v4) = v5)))
% 289.65/57.16
% 289.65/57.16 (fact_rel__simps_I20_J)
% 289.65/57.16 $i(tc_Int_Oint) & $i(c_Int_OMin) & $i(c_Int_OPls) & ~
% 289.65/57.16 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, c_Int_OMin)
% 289.65/57.16
% 289.65/57.16 (fact_rel__simps_I23_J)
% 289.65/57.16 $i(tc_Int_Oint) & $i(c_Int_OMin) & $i(c_Int_OPls) &
% 289.65/57.16 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin, c_Int_OPls)
% 289.65/57.16
% 289.65/57.16 (fact_rel__simps_I7_J)
% 289.65/57.16 $i(tc_Int_Oint) & $i(c_Int_OMin) & ~
% 289.65/57.16 c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, c_Int_OMin)
% 289.65/57.16
% 289.65/57.16 (fact_semiring__norm_I110_J)
% 289.65/57.16 $i(c_Int_OPls) & ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & !
% 289.65/57.16 [v1: $i] : ! [v2: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2)
% 289.65/57.16 | ~ $i(v1) | ~ class_Int_Onumber__ring(v1) |
% 289.65/57.16 (c_Groups_Oone__class_Oone(v1) = v2 & $i(v2))))
% 289.65/57.16
% 289.65/57.16 (fact_semiring__norm_I113_J)
% 289.65/57.16 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] :
% 289.65/57.16 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 &
% 289.65/57.16 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OPls) = v0 & $i(v0))
% 289.65/57.16
% 289.65/57.16 (fact_semiring__norm_I115_J)
% 289.65/57.16 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.65/57.16 ? [v3: $i] : ? [v4: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 &
% 289.65/57.16 c_Nat_OSuc(v1) = v2 & c_Nat_OSuc(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v3 &
% 289.65/57.16 c_Int_OBit0(v3) = v4 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v4) =
% 289.65/57.16 v2 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 289.65/57.16
% 289.65/57.16 (fact_split__mult__neg__le)
% 289.65/57.16 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 289.65/57.16 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5)
% 289.65/57.16 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 289.65/57.16 class_Rings_Oordered__cancel__semiring(v2) | ? [v6: $i] :
% 289.65/57.16 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) &
% 289.65/57.16 (c_Orderings_Oord__class_Oless__eq(v2, v5, v6) | (( ~
% 289.65/57.16 c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | ~
% 289.65/57.16 c_Orderings_Oord__class_Oless__eq(v2, v0, v6)) & ( ~
% 289.65/57.16 c_Orderings_Oord__class_Oless__eq(v2, v6, v0) | ~
% 289.65/57.16 c_Orderings_Oord__class_Oless__eq(v2, v1, v6))))))
% 289.65/57.16
% 289.65/57.16 (fact_split__mult__pos__le)
% 289.65/57.16 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 289.65/57.16 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5)
% 289.65/57.16 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 289.65/57.16 class_Rings_Oordered__ring(v2) | ? [v6: $i] :
% 289.65/57.16 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) &
% 289.65/57.16 (c_Orderings_Oord__class_Oless__eq(v2, v6, v5) | (( ~
% 289.65/57.16 c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | ~
% 289.65/57.16 c_Orderings_Oord__class_Oless__eq(v2, v6, v0)) & ( ~
% 289.65/57.16 c_Orderings_Oord__class_Oless__eq(v2, v1, v6) | ~
% 289.65/57.16 c_Orderings_Oord__class_Oless__eq(v2, v0, v6))))))
% 289.65/57.16
% 289.65/57.16 (fact_sum__power2__eq__zero__iff)
% 289.65/57.16 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.65/57.16 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 289.65/57.16 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 289.65/57.16 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 289.65/57.16 : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~
% 289.65/57.16 (c_Groups_Oplus__class_Oplus(v5, v8, v10) = v11) | ~
% 289.65/57.16 (c_Power_Opower__class_Opower(v5) = v6) | ~ (hAPP(v9, v2) = v10) | ~
% 289.65/57.16 (hAPP(v7, v2) = v8) | ~ (hAPP(v6, v4) = v7) | ~ (hAPP(v6, v3) = v9) | ~
% 289.65/57.16 $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ class_Rings_Olinordered__idom(v5) | ?
% 289.65/57.16 [v12: $i] : (c_Groups_Ozero__class_Ozero(v5) = v12 & $i(v12) & ( ~ (v12 =
% 289.65/57.16 v11) | (v11 = v3 & v4 = v3)) & ( ~ (v12 = v3) | ~ (v4 = v3) | v11 =
% 289.65/57.16 v3))))
% 289.65/57.17
% 289.65/57.17 (fact_sum__power2__ge__zero)
% 289.65/57.17 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.65/57.17 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 289.65/57.17 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 289.65/57.17 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 289.65/57.17 : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~
% 289.65/57.17 (c_Groups_Oplus__class_Oplus(v5, v8, v10) = v11) | ~
% 289.65/57.17 (c_Power_Opower__class_Opower(v5) = v6) | ~ (hAPP(v9, v2) = v10) | ~
% 289.65/57.17 (hAPP(v7, v2) = v8) | ~ (hAPP(v6, v4) = v7) | ~ (hAPP(v6, v3) = v9) | ~
% 289.65/57.17 $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ class_Rings_Olinordered__idom(v5) | ?
% 289.65/57.17 [v12: $i] : (c_Groups_Ozero__class_Ozero(v5) = v12 & $i(v12) &
% 289.65/57.17 c_Orderings_Oord__class_Oless__eq(v5, v12, v11))))
% 289.65/57.17
% 289.65/57.17 (fact_sum__power2__gt__zero__iff)
% 289.65/57.17 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.65/57.17 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 289.65/57.17 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 289.65/57.17 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 289.65/57.17 : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~
% 289.65/57.17 (c_Groups_Oplus__class_Oplus(v5, v8, v10) = v11) | ~
% 289.65/57.17 (c_Power_Opower__class_Opower(v5) = v6) | ~ (hAPP(v9, v2) = v10) | ~
% 289.65/57.17 (hAPP(v7, v2) = v8) | ~ (hAPP(v6, v4) = v7) | ~ (hAPP(v6, v3) = v9) | ~
% 289.65/57.17 $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ class_Rings_Olinordered__idom(v5) | ?
% 289.65/57.17 [v12: $i] : (c_Groups_Ozero__class_Ozero(v5) = v12 & $i(v12) & ( ~ (v12 =
% 289.65/57.17 v3) | ~ (v4 = v3) | ~ c_Orderings_Oord__class_Oless(v5, v3, v11))
% 289.65/57.17 & (c_Orderings_Oord__class_Oless(v5, v12, v11) | (v12 = v3 & v4 =
% 289.65/57.17 v3)))))
% 289.65/57.17
% 289.65/57.17 (fact_sum__power2__le__zero__iff)
% 289.65/57.17 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.65/57.17 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 289.65/57.17 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 289.65/57.17 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 289.65/57.17 : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~
% 289.65/57.17 (c_Groups_Oplus__class_Oplus(v5, v8, v10) = v11) | ~
% 289.65/57.17 (c_Power_Opower__class_Opower(v5) = v6) | ~ (hAPP(v9, v2) = v10) | ~
% 289.65/57.17 (hAPP(v7, v2) = v8) | ~ (hAPP(v6, v4) = v7) | ~ (hAPP(v6, v3) = v9) | ~
% 289.65/57.17 $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ class_Rings_Olinordered__idom(v5) | ?
% 289.65/57.17 [v12: $i] : (c_Groups_Ozero__class_Ozero(v5) = v12 & $i(v12) & ( ~ (v12 =
% 289.65/57.17 v3) | ~ (v4 = v3) | c_Orderings_Oord__class_Oless__eq(v5, v11, v3))
% 289.65/57.17 & ( ~ c_Orderings_Oord__class_Oless__eq(v5, v11, v12) | (v12 = v3 & v4 =
% 289.65/57.17 v3)))))
% 289.65/57.17
% 289.65/57.17 (fact_two__realpow__ge__one)
% 289.65/57.17 $i(c_Int_OPls) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 289.65/57.17 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 289.65/57.17 (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v1 & c_Int_OBit1(c_Int_OPls)
% 289.65/57.17 = v2 & c_Int_OBit0(v2) = v3 &
% 289.65/57.17 c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v3) = v4 &
% 289.65/57.17 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & hAPP(v1, v4) = v5 &
% 289.65/57.17 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v6: $i] : ! [v7:
% 289.65/57.17 $i] : ( ~ (hAPP(v5, v6) = v7) | ~ $i(v6) |
% 289.65/57.17 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v7)))
% 289.65/57.17
% 289.65/57.17 (fact_xy)
% 289.65/57.17 $i(tc_Nat_Onat) & $i(v_y____) & $i(v_x____) & $i(c_Int_OPls) &
% 289.65/57.17 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 289.65/57.17 ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 289.65/57.17 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v7) = v8 &
% 289.65/57.17 c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 &
% 289.65/57.17 c_Int_OBit1(c_Int_OPls) = v2 & c_Int_OBit0(v2) = v3 &
% 289.65/57.17 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v3) = v4 &
% 289.65/57.17 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v8 & hAPP(v6, v4) = v7 &
% 289.65/57.17 hAPP(v1, v4) = v5 & hAPP(v0, v_y____) = v6 & hAPP(v0, v_x____) = v1 & $i(v8)
% 289.65/57.17 & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 289.65/57.17
% 289.65/57.17 (fact_z)
% 289.65/57.17 c_Complex_Ocomplex_OComplex(v_x____, v_y____) = v_z & $i(v_z) & $i(v_y____) &
% 289.65/57.17 $i(v_x____)
% 289.65/57.17
% 289.65/57.17 (fact_zadd__0)
% 289.65/57.17 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 289.65/57.17 & $i(v0) & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~
% 289.65/57.17 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v1) = v2) | ~ $i(v1)))
% 289.65/57.17
% 289.65/57.17 (fact_zadd__0__right)
% 289.65/57.17 $i(tc_Int_Oint) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0
% 289.65/57.17 & $i(v0) & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~
% 289.65/57.17 (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~ $i(v1)))
% 289.65/57.17
% 289.65/57.17 (fact_zero__eq__power2)
% 289.65/57.17 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.65/57.17 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 289.65/57.17 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 289.65/57.17 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 289.65/57.17 (c_Power_Opower__class_Opower(v4) = v5) | ~ (hAPP(v5, v3) = v6) | ~
% 289.65/57.17 $i(v4) | ~ $i(v3) | ~ class_Rings_Oring__1__no__zero__divisors(v4) | ?
% 289.65/57.17 [v7: $i] : ? [v8: $i] : (c_Groups_Ozero__class_Ozero(v4) = v8 & $i(v8) &
% 289.65/57.17 ( ~ (v8 = v3) | (v7 = v3 & hAPP(v6, v2) = v3)) & (v8 = v3 | ( ~ (v8 =
% 289.65/57.17 v7) & hAPP(v6, v2) = v7 & $i(v7))))))
% 289.65/57.17
% 289.65/57.17 (fact_zero__is__num__zero)
% 289.65/57.17 $i(tc_Int_Oint) & $i(c_Int_OPls) & ? [v0: $i] :
% 289.65/57.17 (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 &
% 289.65/57.17 c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls) = v0 & $i(v0))
% 289.65/57.17
% 289.65/57.17 (fact_zero__le__divide__iff)
% 289.65/57.17 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 289.65/57.17 (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) |
% 289.65/57.17 ~ $i(v0) | ~ class_Fields_Olinordered__field__inverse__zero(v2) | ? [v4:
% 289.65/57.17 $i] : (c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4) & ( ~
% 289.65/57.17 c_Orderings_Oord__class_Oless__eq(v2, v4, v3) |
% 289.65/57.17 (c_Orderings_Oord__class_Oless__eq(v2, v4, v1) &
% 289.65/57.17 c_Orderings_Oord__class_Oless__eq(v2, v4, v0)) |
% 289.65/57.17 (c_Orderings_Oord__class_Oless__eq(v2, v1, v4) &
% 289.65/57.17 c_Orderings_Oord__class_Oless__eq(v2, v0, v4))) &
% 289.65/57.17 (c_Orderings_Oord__class_Oless__eq(v2, v4, v3) | (( ~
% 289.65/57.17 c_Orderings_Oord__class_Oless__eq(v2, v4, v1) | ~
% 289.65/57.17 c_Orderings_Oord__class_Oless__eq(v2, v4, v0)) & ( ~
% 289.65/57.17 c_Orderings_Oord__class_Oless__eq(v2, v1, v4) | ~
% 289.65/57.17 c_Orderings_Oord__class_Oless__eq(v2, v0, v4))))))
% 289.65/57.17
% 289.65/57.17 (fact_zero__le__even__power_H)
% 289.65/57.17 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.65/57.17 ? [v3: $i] : ? [v4: $i] : (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 289.65/57.17 c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 289.65/57.17 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & hAPP(v0, v3) = v4 &
% 289.65/57.17 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : !
% 289.65/57.17 [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~
% 289.65/57.17 (c_Power_Opower__class_Opower(v7) = v8) | ~ (hAPP(v9, v10) = v11) | ~
% 289.65/57.17 (hAPP(v8, v6) = v9) | ~ (hAPP(v4, v5) = v10) | ~ $i(v7) | ~ $i(v6) | ~
% 289.65/57.17 $i(v5) | ~ class_Rings_Olinordered__idom(v7) | ? [v12: $i] :
% 289.65/57.17 (c_Groups_Ozero__class_Ozero(v7) = v12 & $i(v12) &
% 289.65/57.17 c_Orderings_Oord__class_Oless__eq(v7, v12, v11))))
% 289.65/57.17
% 289.65/57.17 (fact_zero__le__mult__iff)
% 289.65/57.17 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 289.65/57.17 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5)
% 289.65/57.17 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 289.65/57.17 class_Rings_Olinordered__ring__strict(v2) | ? [v6: $i] :
% 289.65/57.17 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~
% 289.65/57.17 c_Orderings_Oord__class_Oless__eq(v2, v6, v5) |
% 289.65/57.17 (c_Orderings_Oord__class_Oless__eq(v2, v6, v1) &
% 289.65/57.17 c_Orderings_Oord__class_Oless__eq(v2, v6, v0)) |
% 289.65/57.17 (c_Orderings_Oord__class_Oless__eq(v2, v1, v6) &
% 289.65/57.17 c_Orderings_Oord__class_Oless__eq(v2, v0, v6))) &
% 289.65/57.17 (c_Orderings_Oord__class_Oless__eq(v2, v6, v5) | (( ~
% 289.65/57.17 c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | ~
% 289.65/57.17 c_Orderings_Oord__class_Oless__eq(v2, v6, v0)) & ( ~
% 289.65/57.17 c_Orderings_Oord__class_Oless__eq(v2, v1, v6) | ~
% 289.65/57.17 c_Orderings_Oord__class_Oless__eq(v2, v0, v6))))))
% 289.65/57.17
% 289.65/57.17 (fact_zero__le__one)
% 289.65/57.17 ! [v0: $i] : ! [v1: $i] : ( ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~
% 289.65/57.17 $i(v0) | ~ class_Rings_Olinordered__semidom(v0) | ? [v2: $i] :
% 289.65/57.17 (c_Groups_Ozero__class_Ozero(v0) = v2 & $i(v2) &
% 289.65/57.17 c_Orderings_Oord__class_Oless__eq(v0, v2, v1)))
% 289.65/57.17
% 289.65/57.17 (fact_zero__le__power)
% 289.65/57.17 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 289.65/57.17 $i] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v0) = v5) |
% 289.65/57.17 ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 289.65/57.17 class_Rings_Olinordered__semidom(v2) | ? [v6: $i] :
% 289.65/57.17 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~
% 289.65/57.17 c_Orderings_Oord__class_Oless__eq(v2, v6, v1) |
% 289.65/57.17 c_Orderings_Oord__class_Oless__eq(v2, v6, v5))))
% 289.65/57.17
% 289.65/57.17 (fact_zero__le__power2)
% 289.65/57.17 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.65/57.17 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 289.65/57.17 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 289.65/57.17 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 289.65/57.17 (c_Power_Opower__class_Opower(v4) = v5) | ~ (hAPP(v5, v3) = v6) | ~
% 289.65/57.17 $i(v4) | ~ $i(v3) | ~ class_Rings_Olinordered__idom(v4) | ? [v7: $i] :
% 289.65/57.17 ? [v8: $i] : (c_Groups_Ozero__class_Ozero(v4) = v7 & hAPP(v6, v2) = v8 &
% 289.65/57.17 $i(v8) & $i(v7) & c_Orderings_Oord__class_Oless__eq(v4, v7, v8))))
% 289.65/57.17
% 289.65/57.17 (fact_zero__le__power__abs)
% 289.65/57.17 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 289.65/57.17 $i] : ! [v6: $i] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~
% 289.65/57.17 (c_Groups_Oabs__class_Oabs(v2, v1) = v4) | ~ (hAPP(v5, v0) = v6) | ~
% 289.65/57.17 (hAPP(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 289.65/57.17 class_Rings_Olinordered__idom(v2) | ? [v7: $i] :
% 289.65/57.17 (c_Groups_Ozero__class_Ozero(v2) = v7 & $i(v7) &
% 289.65/57.17 c_Orderings_Oord__class_Oless__eq(v2, v7, v6)))
% 289.65/57.17
% 289.65/57.17 (fact_zero__le__zpower__abs)
% 289.65/57.17 $i(tc_Int_Oint) & ? [v0: $i] : ? [v1: $i] :
% 289.65/57.17 (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 &
% 289.65/57.17 c_Power_Opower__class_Opower(tc_Int_Oint) = v1 & $i(v1) & $i(v0) & ! [v2:
% 289.65/57.17 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 289.65/57.17 (c_Groups_Oabs__class_Oabs(tc_Int_Oint, v3) = v4) | ~ (hAPP(v5, v2) = v6)
% 289.65/57.17 | ~ (hAPP(v1, v4) = v5) | ~ $i(v3) | ~ $i(v2) |
% 289.65/57.17 c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v6)))
% 289.65/57.17
% 289.65/57.17 (fact_zero__less__Suc)
% 289.65/57.17 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 289.65/57.17 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (c_Nat_OSuc(v1) = v2) | ~ $i(v1)
% 289.65/57.17 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2)))
% 289.65/57.17
% 289.65/57.17 (fact_zero__less__abs__iff)
% 289.65/57.17 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (c_Groups_Oabs__class_Oabs(v1,
% 289.65/57.17 v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 289.65/57.17 class_Groups_Oordered__ab__group__add__abs(v1) | ? [v3: $i] :
% 289.65/57.17 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~ (v3 = v0) | ~
% 289.65/57.17 c_Orderings_Oord__class_Oless(v1, v0, v2)) & (v3 = v0 |
% 289.65/57.17 c_Orderings_Oord__class_Oless(v1, v3, v2))))
% 289.65/57.17
% 289.65/57.17 (fact_zero__less__divide__iff)
% 289.65/57.17 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 289.65/57.17 (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) |
% 289.65/57.17 ~ $i(v0) | ~ class_Fields_Olinordered__field__inverse__zero(v2) | ? [v4:
% 289.65/57.17 $i] : (c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4) & ( ~
% 289.65/57.17 c_Orderings_Oord__class_Oless(v2, v4, v3) |
% 289.65/57.17 (c_Orderings_Oord__class_Oless(v2, v4, v1) &
% 289.65/57.17 c_Orderings_Oord__class_Oless(v2, v4, v0)) |
% 289.65/57.17 (c_Orderings_Oord__class_Oless(v2, v1, v4) &
% 289.65/57.17 c_Orderings_Oord__class_Oless(v2, v0, v4))) &
% 289.65/57.17 (c_Orderings_Oord__class_Oless(v2, v4, v3) | (( ~
% 289.65/57.17 c_Orderings_Oord__class_Oless(v2, v4, v1) | ~
% 289.65/57.17 c_Orderings_Oord__class_Oless(v2, v4, v0)) & ( ~
% 289.65/57.17 c_Orderings_Oord__class_Oless(v2, v1, v4) | ~
% 289.65/57.17 c_Orderings_Oord__class_Oless(v2, v0, v4))))))
% 289.65/57.17
% 289.65/57.17 (fact_zero__less__mult__pos)
% 289.65/57.17 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 289.65/57.17 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5)
% 289.65/57.17 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 289.65/57.17 class_Rings_Olinordered__semiring__strict(v2) | ? [v6: $i] :
% 289.65/57.17 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~
% 289.65/57.17 c_Orderings_Oord__class_Oless(v2, v6, v5) | ~
% 289.65/57.17 c_Orderings_Oord__class_Oless(v2, v6, v1) |
% 289.65/57.17 c_Orderings_Oord__class_Oless(v2, v6, v0))))
% 289.65/57.17
% 289.65/57.17 (fact_zero__less__mult__pos2)
% 289.65/57.17 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 289.65/57.17 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5)
% 289.65/57.17 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 289.65/57.17 class_Rings_Olinordered__semiring__strict(v2) | ? [v6: $i] :
% 289.65/57.17 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~
% 289.65/57.17 c_Orderings_Oord__class_Oless(v2, v6, v5) | ~
% 289.65/57.17 c_Orderings_Oord__class_Oless(v2, v6, v0) |
% 289.65/57.17 c_Orderings_Oord__class_Oless(v2, v6, v1))))
% 289.65/57.17
% 289.65/57.17 (fact_zero__less__norm__iff)
% 289.65/57.17 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 289.65/57.17 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 289.65/57.17 ! [v2: $i] : ! [v3: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v2, v1) =
% 289.65/57.17 v3) | ~ $i(v2) | ~ $i(v1) | ~
% 289.65/57.17 class_RealVector_Oreal__normed__vector(v2) | ? [v4: $i] : (( ~
% 289.65/57.17 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) | ( ~ (v4 =
% 289.65/57.17 v1) & c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4))) &
% 289.65/57.17 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) | (v4 = v1 &
% 289.65/57.17 c_Groups_Ozero__class_Ozero(v2) = v1)))))
% 289.65/57.17
% 289.65/57.17 (fact_zero__less__one)
% 289.65/57.17 ! [v0: $i] : ! [v1: $i] : ( ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~
% 289.65/57.17 $i(v0) | ~ class_Rings_Olinordered__semidom(v0) | ? [v2: $i] :
% 289.65/57.17 (c_Groups_Ozero__class_Ozero(v0) = v2 & $i(v2) &
% 289.65/57.17 c_Orderings_Oord__class_Oless(v0, v2, v1)))
% 289.65/57.17
% 289.65/57.17 (fact_zero__less__power)
% 289.65/57.18 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 289.65/57.18 $i] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v0) = v5) |
% 289.65/57.18 ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 289.65/57.18 class_Rings_Olinordered__semidom(v2) | ? [v6: $i] :
% 289.65/57.18 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~
% 289.65/57.18 c_Orderings_Oord__class_Oless(v2, v6, v1) |
% 289.65/57.18 c_Orderings_Oord__class_Oless(v2, v6, v5))))
% 289.65/57.18
% 289.65/57.18 (fact_zero__less__power2)
% 289.65/57.18 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.65/57.18 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 289.65/57.18 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 289.65/57.18 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 289.65/57.18 (c_Power_Opower__class_Opower(v4) = v5) | ~ (hAPP(v5, v3) = v6) | ~
% 289.65/57.18 $i(v4) | ~ $i(v3) | ~ class_Rings_Olinordered__idom(v4) | ? [v7: $i] :
% 289.65/57.18 ? [v8: $i] : (c_Groups_Ozero__class_Ozero(v4) = v7 & $i(v7) & ( ~ (v7 =
% 289.65/57.18 v3) | (hAPP(v6, v2) = v8 & $i(v8) & ~
% 289.65/57.18 c_Orderings_Oord__class_Oless(v4, v3, v8))) & (v7 = v3 | (hAPP(v6,
% 289.65/57.18 v2) = v8 & $i(v8) & c_Orderings_Oord__class_Oless(v4, v7, v8))))))
% 289.65/57.18
% 289.65/57.18 (fact_zero__power2)
% 289.65/57.18 $i(tc_Nat_Onat) & $i(c_Int_OPls) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.65/57.18 (c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 289.65/57.18 c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) & $i(v1) &
% 289.65/57.18 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 289.65/57.18 (c_Groups_Ozero__class_Ozero(v3) = v5) | ~
% 289.65/57.18 (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v4, v5) = v6) | ~
% 289.65/57.18 $i(v3) | ~ class_Rings_Osemiring__1(v3) | (hAPP(v6, v2) = v5 & $i(v5))))
% 289.65/57.18
% 289.65/57.18 (fact_zmult__eq__1__iff)
% 289.65/57.18 $i(tc_Int_Oint) & $i(c_Int_OMin) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 289.65/57.18 (c_Groups_Otimes__class_Otimes(tc_Int_Oint) = v0 &
% 289.65/57.18 c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OMin) = v2 &
% 289.65/57.18 c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 & $i(v2) & $i(v1) & $i(v0) & !
% 289.65/57.18 [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v4 = v2 | v4 = v1 | ~ (hAPP(v5, v3)
% 289.65/57.18 = v1) | ~ (hAPP(v0, v4) = v5) | ~ $i(v4) | ~ $i(v3)) & ! [v3: $i] :
% 289.65/57.18 ! [v4: $i] : ! [v5: $i] : (v4 = v2 | v3 = v1 | ~ (hAPP(v5, v3) = v1) | ~
% 289.65/57.18 (hAPP(v0, v4) = v5) | ~ $i(v4) | ~ $i(v3)) & ! [v3: $i] : ! [v4: $i] :
% 289.65/57.18 ! [v5: $i] : (v4 = v1 | v3 = v2 | ~ (hAPP(v5, v3) = v1) | ~ (hAPP(v0, v4)
% 289.65/57.18 = v5) | ~ $i(v4) | ~ $i(v3)) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i]
% 289.65/57.18 : (v3 = v2 | v3 = v1 | ~ (hAPP(v5, v3) = v1) | ~ (hAPP(v0, v4) = v5) | ~
% 289.65/57.18 $i(v4) | ~ $i(v3)) & ! [v3: $i] : ! [v4: $i] : (v4 = v1 | ~ (hAPP(v3,
% 289.65/57.18 v2) = v4) | ~ (hAPP(v0, v2) = v3)) & ! [v3: $i] : ! [v4: $i] : (v4
% 289.65/57.18 = v1 | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v0, v1) = v3)))
% 289.65/57.18
% 289.65/57.18 (function-axioms)
% 289.65/57.18 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0
% 289.65/57.18 | ~ (c_Complex_Ocomplex_Ocomplex__rec(v4, v3, v2) = v1) | ~
% 289.65/57.18 (c_Complex_Ocomplex_Ocomplex__rec(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1:
% 289.65/57.18 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 289.65/57.18 (c_Complex_Ocomplex_Ocomplex__case(v4, v3, v2) = v1) | ~
% 289.65/57.18 (c_Complex_Ocomplex_Ocomplex__case(v4, v3, v2) = v0)) & ! [v0: $i] : !
% 289.65/57.18 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 289.65/57.18 (c_Rings_Oinverse__class_Odivide(v4, v3, v2) = v1) | ~
% 289.65/57.18 (c_Rings_Oinverse__class_Odivide(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1:
% 289.65/57.18 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 289.65/57.18 (c_Groups_Ominus__class_Ominus(v4, v3, v2) = v1) | ~
% 289.65/57.18 (c_Groups_Ominus__class_Ominus(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1:
% 289.65/57.18 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 289.65/57.18 (c_Power_Opower_Opower(v4, v3, v2) = v1) | ~ (c_Power_Opower_Opower(v4, v3,
% 289.65/57.18 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : !
% 289.65/57.18 [v4: $i] : (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(v4, v3, v2) = v1) | ~
% 289.65/57.18 (c_Groups_Oplus__class_Oplus(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 289.65/57.18 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (c_Nat_Osize__class_Osize(v3, v2)
% 289.65/57.18 = v1) | ~ (c_Nat_Osize__class_Osize(v3, v2) = v0)) & ! [v0: $i] : !
% 289.65/57.18 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (tc_fun(v3, v2) = v1) |
% 289.65/57.18 ~ (tc_fun(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 289.65/57.18 $i] : (v1 = v0 | ~ (c_RealVector_Onorm__class_Onorm(v3, v2) = v1) | ~
% 289.65/57.18 (c_RealVector_Onorm__class_Onorm(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 289.65/57.18 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (c_Complex_Ocomplex_OComplex(v3,
% 289.65/57.18 v2) = v1) | ~ (c_Complex_Ocomplex_OComplex(v3, v2) = v0)) & ! [v0: $i]
% 289.65/57.18 : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 289.65/57.18 (c_Int_Onumber__class_Onumber__of(v3, v2) = v1) | ~
% 289.65/57.18 (c_Int_Onumber__class_Onumber__of(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 289.65/57.18 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (c_Groups_Oabs__class_Oabs(v3, v2)
% 289.65/57.18 = v1) | ~ (c_Groups_Oabs__class_Oabs(v3, v2) = v0)) & ! [v0: $i] : !
% 289.65/57.18 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP(v3, v2) = v1) | ~
% 289.65/57.18 (hAPP(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 |
% 289.65/57.18 ~ (c_RComplete_Onatceiling(v2) = v1) | ~ (c_RComplete_Onatceiling(v2) =
% 289.65/57.18 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 289.65/57.18 (c_Transcendental_Oarctan(v2) = v1) | ~ (c_Transcendental_Oarctan(v2) =
% 289.65/57.18 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 289.65/57.18 (c_Complex_Ocomplex_Ocomplex__size(v2) = v1) | ~
% 289.65/57.18 (c_Complex_Ocomplex_Ocomplex__size(v2) = v0)) & ! [v0: $i] : ! [v1: $i] :
% 289.65/57.18 ! [v2: $i] : (v1 = v0 | ~ (c_NthRoot_Osqrt(v2) = v1) | ~
% 289.65/57.18 (c_NthRoot_Osqrt(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1
% 289.65/57.18 = v0 | ~ (c_Groups_Ozero__class_Ozero(v2) = v1) | ~
% 289.65/57.18 (c_Groups_Ozero__class_Ozero(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 289.65/57.18 [v2: $i] : (v1 = v0 | ~ (c_Nat_OSuc(v2) = v1) | ~ (c_Nat_OSuc(v2) = v0)) &
% 289.65/57.18 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 289.65/57.18 (c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt(v2) = v1) | ~
% 289.65/57.18 (c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt(v2) = v0)) & ! [v0: $i]
% 289.65/57.18 : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (c_Power_Opower__class_Opower(v2)
% 289.65/57.18 = v1) | ~ (c_Power_Opower__class_Opower(v2) = v0)) & ! [v0: $i] : !
% 289.65/57.18 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (c_Groups_Otimes__class_Otimes(v2) =
% 289.65/57.18 v1) | ~ (c_Groups_Otimes__class_Otimes(v2) = v0)) & ! [v0: $i] : ! [v1:
% 289.65/57.18 $i] : ! [v2: $i] : (v1 = v0 | ~ (c_Int_OBit1(v2) = v1) | ~
% 289.65/57.18 (c_Int_OBit1(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0
% 289.65/57.18 | ~ (c_Int_OBit0(v2) = v1) | ~ (c_Int_OBit0(v2) = v0)) & ! [v0: $i] : !
% 289.65/57.18 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (c_Groups_Oone__class_Oone(v2) = v1) |
% 289.65/57.18 ~ (c_Groups_Oone__class_Oone(v2) = v0))
% 289.65/57.18
% 289.65/57.18 Further assumptions not needed in the proof:
% 289.65/57.18 --------------------------------------------
% 289.65/57.18 arity_Complex__Ocomplex__Fields_Ofield,
% 289.65/57.18 arity_Complex__Ocomplex__Fields_Ofield__inverse__zero,
% 289.65/57.18 arity_Complex__Ocomplex__Groups_Oab__group__add,
% 289.65/57.18 arity_Complex__Ocomplex__Groups_Oab__semigroup__add,
% 289.65/57.18 arity_Complex__Ocomplex__Groups_Oab__semigroup__mult,
% 289.65/57.18 arity_Complex__Ocomplex__Groups_Ocancel__ab__semigroup__add,
% 289.65/57.18 arity_Complex__Ocomplex__Groups_Ocancel__semigroup__add,
% 289.65/57.18 arity_Complex__Ocomplex__Groups_Ocomm__monoid__add,
% 289.65/57.18 arity_Complex__Ocomplex__Groups_Ocomm__monoid__mult,
% 289.65/57.18 arity_Complex__Ocomplex__Groups_Ogroup__add,
% 289.65/57.18 arity_Complex__Ocomplex__Groups_Omonoid__add,
% 289.65/57.18 arity_Complex__Ocomplex__Groups_Omonoid__mult,
% 289.65/57.18 arity_Complex__Ocomplex__Groups_Ozero, arity_Complex__Ocomplex__Int_Onumber,
% 289.65/57.18 arity_Complex__Ocomplex__Int_Onumber__ring,
% 289.65/57.18 arity_Complex__Ocomplex__Int_Oring__char__0,
% 289.65/57.18 arity_Complex__Ocomplex__Power_Opower,
% 289.65/57.18 arity_Complex__Ocomplex__RealVector_Oreal__field,
% 289.65/57.18 arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,
% 289.65/57.18 arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1,
% 289.65/57.18 arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra,
% 289.65/57.18 arity_Complex__Ocomplex__RealVector_Oreal__normed__field,
% 289.65/57.18 arity_Complex__Ocomplex__Rings_Ocomm__ring__1,
% 289.65/57.18 arity_Complex__Ocomplex__Rings_Ocomm__semiring,
% 289.65/57.18 arity_Complex__Ocomplex__Rings_Ocomm__semiring__1,
% 289.65/57.18 arity_Complex__Ocomplex__Rings_Odivision__ring,
% 289.65/57.18 arity_Complex__Ocomplex__Rings_Odivision__ring__inverse__zero,
% 289.65/57.18 arity_Complex__Ocomplex__Rings_Omult__zero,
% 289.65/57.18 arity_Complex__Ocomplex__Rings_Ono__zero__divisors,
% 289.65/57.18 arity_Complex__Ocomplex__Rings_Oring, arity_Complex__Ocomplex__Rings_Oring__1,
% 289.65/57.18 arity_Complex__Ocomplex__Rings_Oring__1__no__zero__divisors,
% 289.65/57.18 arity_Complex__Ocomplex__Rings_Oring__no__zero__divisors,
% 289.65/57.18 arity_Complex__Ocomplex__Rings_Osemiring,
% 289.65/57.18 arity_Complex__Ocomplex__Rings_Osemiring__0,
% 289.65/57.18 arity_Complex__Ocomplex__Rings_Osemiring__1,
% 289.65/57.18 arity_Complex__Ocomplex__Rings_Ozero__neq__one,
% 289.65/57.18 arity_Complex__Ocomplex__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,
% 289.65/57.18 arity_HOL__Obool__Orderings_Oord, arity_HOL__Obool__Orderings_Oorder,
% 289.65/57.18 arity_HOL__Obool__Orderings_Opreorder, arity_Int__Oint__Groups_Oab__group__add,
% 289.65/57.18 arity_Int__Oint__Groups_Oab__semigroup__add,
% 289.65/57.18 arity_Int__Oint__Groups_Oab__semigroup__mult,
% 289.65/57.18 arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,
% 289.65/57.18 arity_Int__Oint__Groups_Ocancel__semigroup__add,
% 289.65/57.18 arity_Int__Oint__Groups_Ocomm__monoid__add,
% 289.65/57.18 arity_Int__Oint__Groups_Ocomm__monoid__mult,
% 289.65/57.18 arity_Int__Oint__Groups_Ogroup__add,
% 289.65/57.18 arity_Int__Oint__Groups_Olinordered__ab__group__add,
% 289.65/57.18 arity_Int__Oint__Groups_Omonoid__add, arity_Int__Oint__Groups_Omonoid__mult,
% 289.65/57.18 arity_Int__Oint__Groups_Oordered__ab__group__add,
% 289.65/57.18 arity_Int__Oint__Groups_Oordered__ab__group__add__abs,
% 289.65/57.18 arity_Int__Oint__Groups_Oordered__ab__semigroup__add,
% 289.65/57.18 arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,
% 289.65/57.18 arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,
% 289.65/57.18 arity_Int__Oint__Groups_Oordered__comm__monoid__add,
% 289.65/57.18 arity_Int__Oint__Groups_Ozero, arity_Int__Oint__Int_Onumber,
% 289.65/57.18 arity_Int__Oint__Int_Onumber__ring, arity_Int__Oint__Int_Oring__char__0,
% 289.65/57.18 arity_Int__Oint__Orderings_Olinorder, arity_Int__Oint__Orderings_Oord,
% 289.65/57.18 arity_Int__Oint__Orderings_Oorder, arity_Int__Oint__Power_Opower,
% 289.65/57.18 arity_Int__Oint__Rings_Ocomm__ring__1, arity_Int__Oint__Rings_Ocomm__semiring,
% 289.65/57.18 arity_Int__Oint__Rings_Ocomm__semiring__1,
% 289.65/57.18 arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,
% 289.65/57.18 arity_Int__Oint__Rings_Olinordered__idom,
% 289.65/57.18 arity_Int__Oint__Rings_Olinordered__ring,
% 289.65/57.18 arity_Int__Oint__Rings_Olinordered__ring__strict,
% 289.65/57.18 arity_Int__Oint__Rings_Olinordered__semidom,
% 289.65/57.18 arity_Int__Oint__Rings_Olinordered__semiring,
% 289.65/57.18 arity_Int__Oint__Rings_Olinordered__semiring__1,
% 289.65/57.18 arity_Int__Oint__Rings_Olinordered__semiring__1__strict,
% 289.65/57.18 arity_Int__Oint__Rings_Olinordered__semiring__strict,
% 289.65/57.18 arity_Int__Oint__Rings_Omult__zero, arity_Int__Oint__Rings_Ono__zero__divisors,
% 289.65/57.18 arity_Int__Oint__Rings_Oordered__cancel__semiring,
% 289.65/57.18 arity_Int__Oint__Rings_Oordered__comm__semiring,
% 289.65/57.18 arity_Int__Oint__Rings_Oordered__ring,
% 289.65/57.18 arity_Int__Oint__Rings_Oordered__ring__abs,
% 289.65/57.18 arity_Int__Oint__Rings_Oordered__semiring, arity_Int__Oint__Rings_Oring,
% 289.65/57.18 arity_Int__Oint__Rings_Oring__1,
% 289.65/57.18 arity_Int__Oint__Rings_Oring__1__no__zero__divisors,
% 289.65/57.18 arity_Int__Oint__Rings_Oring__no__zero__divisors,
% 289.65/57.18 arity_Int__Oint__Rings_Osemiring, arity_Int__Oint__Rings_Osemiring__0,
% 289.65/57.18 arity_Int__Oint__Rings_Osemiring__1, arity_Int__Oint__Rings_Ozero__neq__one,
% 289.65/57.18 arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,
% 289.65/57.18 arity_Nat__Onat__Groups_Oab__semigroup__add,
% 289.65/57.18 arity_Nat__Onat__Groups_Oab__semigroup__mult,
% 289.65/57.18 arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,
% 289.65/57.18 arity_Nat__Onat__Groups_Ocancel__semigroup__add,
% 289.65/57.18 arity_Nat__Onat__Groups_Ocomm__monoid__add,
% 289.65/57.18 arity_Nat__Onat__Groups_Ocomm__monoid__mult,
% 289.65/57.18 arity_Nat__Onat__Groups_Omonoid__add, arity_Nat__Onat__Groups_Omonoid__mult,
% 289.65/57.18 arity_Nat__Onat__Groups_Oone,
% 289.65/57.18 arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,
% 289.65/57.18 arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,
% 289.65/57.18 arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,
% 289.65/57.18 arity_Nat__Onat__Groups_Oordered__comm__monoid__add,
% 289.65/57.18 arity_Nat__Onat__Groups_Ozero, arity_Nat__Onat__Int_Onumber,
% 289.65/57.18 arity_Nat__Onat__Orderings_Olinorder, arity_Nat__Onat__Orderings_Oord,
% 289.65/57.18 arity_Nat__Onat__Orderings_Oorder, arity_Nat__Onat__Orderings_Opreorder,
% 289.65/57.18 arity_Nat__Onat__Power_Opower, arity_Nat__Onat__Rings_Ocomm__semiring,
% 289.65/57.18 arity_Nat__Onat__Rings_Ocomm__semiring__1,
% 289.65/57.18 arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,
% 289.65/57.18 arity_Nat__Onat__Rings_Olinordered__semidom,
% 289.65/57.18 arity_Nat__Onat__Rings_Olinordered__semiring,
% 289.65/57.18 arity_Nat__Onat__Rings_Olinordered__semiring__strict,
% 289.65/57.18 arity_Nat__Onat__Rings_Omult__zero, arity_Nat__Onat__Rings_Ono__zero__divisors,
% 289.65/57.18 arity_Nat__Onat__Rings_Oordered__cancel__semiring,
% 289.65/57.18 arity_Nat__Onat__Rings_Oordered__comm__semiring,
% 289.65/57.18 arity_Nat__Onat__Rings_Oordered__semiring, arity_Nat__Onat__Rings_Osemiring,
% 289.65/57.18 arity_Nat__Onat__Rings_Osemiring__0, arity_Nat__Onat__Rings_Osemiring__1,
% 289.65/57.18 arity_Nat__Onat__Rings_Ozero__neq__one,
% 289.65/57.18 arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,
% 289.65/57.18 arity_RealDef__Oreal__Fields_Ofield,
% 289.65/57.18 arity_RealDef__Oreal__Fields_Ofield__inverse__zero,
% 289.65/57.18 arity_RealDef__Oreal__Groups_Oab__group__add,
% 289.65/57.18 arity_RealDef__Oreal__Groups_Oab__semigroup__add,
% 289.65/57.18 arity_RealDef__Oreal__Groups_Oab__semigroup__mult,
% 289.65/57.18 arity_RealDef__Oreal__Groups_Ocancel__ab__semigroup__add,
% 289.65/57.18 arity_RealDef__Oreal__Groups_Ocancel__semigroup__add,
% 289.65/57.18 arity_RealDef__Oreal__Groups_Ocomm__monoid__add,
% 289.65/57.18 arity_RealDef__Oreal__Groups_Ocomm__monoid__mult,
% 289.65/57.18 arity_RealDef__Oreal__Groups_Ogroup__add,
% 289.65/57.18 arity_RealDef__Oreal__Groups_Olinordered__ab__group__add,
% 289.65/57.18 arity_RealDef__Oreal__Groups_Omonoid__add,
% 289.65/57.18 arity_RealDef__Oreal__Groups_Omonoid__mult, arity_RealDef__Oreal__Groups_Oone,
% 289.65/57.18 arity_RealDef__Oreal__Groups_Oordered__ab__group__add,
% 289.65/57.18 arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add,
% 289.65/57.18 arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le,
% 289.65/57.18 arity_RealDef__Oreal__Groups_Oordered__cancel__ab__semigroup__add,
% 289.65/57.18 arity_RealDef__Oreal__Groups_Ozero, arity_RealDef__Oreal__Int_Onumber,
% 289.65/57.18 arity_RealDef__Oreal__Int_Oring__char__0,
% 289.65/57.18 arity_RealDef__Oreal__Orderings_Olinorder, arity_RealDef__Oreal__Orderings_Oord,
% 289.65/57.18 arity_RealDef__Oreal__Orderings_Oorder,
% 289.65/57.18 arity_RealDef__Oreal__Orderings_Opreorder,
% 289.65/57.18 arity_RealDef__Oreal__RealVector_Oreal__field,
% 289.65/57.18 arity_RealDef__Oreal__RealVector_Oreal__normed__algebra,
% 289.65/57.18 arity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1,
% 289.65/57.18 arity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra,
% 289.65/57.18 arity_RealDef__Oreal__RealVector_Oreal__normed__field,
% 289.65/57.18 arity_RealDef__Oreal__RealVector_Oreal__normed__vector,
% 289.65/57.18 arity_RealDef__Oreal__Rings_Ocomm__ring__1,
% 289.65/57.18 arity_RealDef__Oreal__Rings_Ocomm__semiring,
% 289.65/57.18 arity_RealDef__Oreal__Rings_Ocomm__semiring__1,
% 289.65/57.18 arity_RealDef__Oreal__Rings_Odivision__ring,
% 289.65/57.18 arity_RealDef__Oreal__Rings_Odivision__ring__inverse__zero,
% 289.65/57.18 arity_RealDef__Oreal__Rings_Olinordered__comm__semiring__strict,
% 289.65/57.18 arity_RealDef__Oreal__Rings_Olinordered__ring,
% 289.65/57.18 arity_RealDef__Oreal__Rings_Olinordered__semiring,
% 289.65/57.18 arity_RealDef__Oreal__Rings_Olinordered__semiring__1,
% 289.65/57.18 arity_RealDef__Oreal__Rings_Olinordered__semiring__1__strict,
% 289.65/57.18 arity_RealDef__Oreal__Rings_Oordered__comm__semiring,
% 289.65/57.18 arity_RealDef__Oreal__Rings_Oordered__ring__abs,
% 289.65/57.18 arity_RealDef__Oreal__Rings_Oordered__semiring,
% 289.65/57.18 arity_RealDef__Oreal__Rings_Oring, arity_RealDef__Oreal__Rings_Oring__1,
% 289.65/57.18 arity_RealDef__Oreal__Rings_Osemiring, arity_RealDef__Oreal__Rings_Osemiring__0,
% 289.65/57.18 arity_RealDef__Oreal__Rings_Osemiring__1,
% 289.65/57.18 arity_RealDef__Oreal__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,
% 289.65/57.18 arity_fun__Orderings_Oord, arity_fun__Orderings_Oorder,
% 289.65/57.18 arity_fun__Orderings_Opreorder, fact_Bit0__Pls, fact_Bit0__def, fact_Bit1__Min,
% 289.65/57.18 fact_Bit1__def, fact_DERIV__mult__lemma, fact_Deriv_Oadd__diff__add,
% 289.65/57.18 fact_Nat_Oadd__0__right, fact_Nat_Odiff__diff__eq, fact_Suc__diff__diff,
% 289.65/57.18 fact_Suc__diff__le, fact_Suc__inject, fact_Suc__leD, fact_Suc__leI,
% 289.65/57.18 fact_Suc__le__eq, fact_Suc__le__lessD, fact_Suc__le__mono, fact_Suc__lessD,
% 289.65/57.18 fact_Suc__lessI, fact_Suc__less__SucD, fact_Suc__less__eq, fact_Suc__mono,
% 289.65/57.18 fact_Suc__mult__cancel1, fact_Suc__mult__le__cancel1, fact_Suc__n__not__le__n,
% 289.65/57.18 fact_Suc__n__not__n,
% 289.65/57.18 fact__096_B_Bthesis_O_A_I_B_Bx_Ay_O_Az_A_061_AComplex_Ax_Ay_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096,
% 289.65/57.18 fact_ab__semigroup__add__class_Oadd__ac_I1_J,
% 289.65/57.18 fact_ab__semigroup__mult__class_Omult__ac_I1_J, fact_abs__add__abs,
% 289.65/57.18 fact_abs__diff__less__iff, fact_abs__diff__triangle__ineq, fact_abs__div__pos,
% 289.65/57.18 fact_abs__divide, fact_abs__eq__mult, fact_abs__ge__self, fact_abs__idempotent,
% 289.65/57.18 fact_abs__le__D1, fact_abs__minus__commute, fact_abs__minus__one,
% 289.65/57.18 fact_abs__mult, fact_abs__mult__less, fact_abs__mult__pos, fact_abs__mult__self,
% 289.65/57.18 fact_abs__of__nonneg, fact_abs__of__pos, fact_abs__one,
% 289.65/57.18 fact_abs__power__minus__one, fact_abs__triangle__ineq,
% 289.65/57.18 fact_abs__triangle__ineq2, fact_abs__triangle__ineq2__sym,
% 289.65/57.18 fact_abs__triangle__ineq3, fact_abs__triangle__ineq4, fact_abs__zero,
% 289.65/57.18 fact_abs__zmult__eq__1, fact_add_Ocomm__neutral, fact_add__0, fact_add__0__iff,
% 289.65/57.18 fact_add__0__left, fact_add__0__right, fact_add__Bit0__Bit0,
% 289.65/57.18 fact_add__Bit0__Bit1, fact_add__Bit1__Bit0, fact_add__Pls, fact_add__Pls__right,
% 289.65/57.18 fact_add__Suc, fact_add__Suc__right, fact_add__Suc__shift,
% 289.65/57.18 fact_add__diff__assoc, fact_add__diff__assoc2, fact_add__diff__cancel,
% 289.65/57.18 fact_add__divide__distrib, fact_add__divide__eq__iff, fact_add__frac__eq,
% 289.65/57.18 fact_add__frac__num, fact_add__imp__eq, fact_add__increasing,
% 289.65/57.18 fact_add__increasing2, fact_add__leD1, fact_add__leD2, fact_add__leE,
% 289.65/57.18 fact_add__le__cancel__left, fact_add__le__cancel__right,
% 289.65/57.18 fact_add__le__imp__le__left, fact_add__le__imp__le__right,
% 289.65/57.18 fact_add__le__less__mono, fact_add__le__mono, fact_add__le__mono1,
% 289.65/57.18 fact_add__left__cancel, fact_add__left__imp__eq, fact_add__left__mono,
% 289.65/57.18 fact_add__lessD1, fact_add__less__cancel__left, fact_add__less__cancel__right,
% 289.65/57.18 fact_add__less__imp__less__left, fact_add__less__imp__less__right,
% 289.65/57.18 fact_add__less__le__mono, fact_add__less__mono, fact_add__less__mono1,
% 289.65/57.18 fact_add__mono, fact_add__mult__distrib, fact_add__mult__distrib2,
% 289.65/57.18 fact_add__num__frac, fact_add__number__of__diff1, fact_add__number__of__eq,
% 289.65/57.18 fact_add__number__of__left, fact_add__numeral__0, fact_add__numeral__0__right,
% 289.65/57.18 fact_add__right__cancel, fact_add__right__imp__eq, fact_add__right__mono,
% 289.65/57.18 fact_add__scale__eq__noteq, fact_add__strict__increasing,
% 289.65/57.18 fact_add__strict__increasing2, fact_add__strict__left__mono,
% 289.65/57.18 fact_add__strict__mono, fact_add__strict__right__mono, fact_arctan__monotone,
% 289.65/57.18 fact_arctan__monotone_H, fact_arith__simps_I32_J, fact_combine__common__factor,
% 289.65/57.18 fact_comm__mult__left__mono, fact_comm__mult__strict__left__mono,
% 289.65/57.18 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,
% 289.65/57.18 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,
% 289.65/57.18 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,
% 289.65/57.18 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,
% 289.65/57.18 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,
% 289.65/57.18 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,
% 289.65/57.18 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,
% 289.65/57.18 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,
% 289.65/57.18 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,
% 289.65/57.18 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,
% 289.65/57.18 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,
% 289.65/57.18 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,
% 289.65/57.18 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,
% 289.65/57.18 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,
% 289.65/57.18 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,
% 289.65/57.18 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,
% 289.65/57.18 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,
% 289.65/57.18 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,
% 289.65/57.18 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,
% 289.65/57.18 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,
% 289.65/57.18 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,
% 289.65/57.18 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,
% 289.65/57.18 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,
% 289.65/57.18 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,
% 289.65/57.18 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,
% 289.65/57.18 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,
% 289.65/57.18 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,
% 289.65/57.18 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,
% 289.65/57.18 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,
% 289.65/57.18 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,
% 289.65/57.18 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,
% 289.65/57.18 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,
% 289.65/57.18 fact_comm__semiring__class_Odistrib, fact_complex_Oinject, fact_complex_Orecs,
% 289.65/57.18 fact_complex_Osimps_I2_J, fact_complex__add, fact_complex__diff,
% 289.65/57.18 fact_complex__i__not__number__of, fact_complex__i__not__one,
% 289.65/57.18 fact_complex__i__not__zero, fact_complex__mod__triangle__ineq2,
% 289.65/57.18 fact_complex__mod__triangle__sub, fact_convex__bound__le,
% 289.65/57.18 fact_convex__bound__lt, fact_crossproduct__eq, fact_crossproduct__noteq,
% 289.65/57.18 fact_diff__0__eq__0, fact_diff__0__right, fact_diff__Suc__1,
% 289.65/57.18 fact_diff__Suc__Suc, fact_diff__Suc__diff__eq1, fact_diff__Suc__diff__eq2,
% 289.65/57.18 fact_diff__add__0, fact_diff__add__assoc, fact_diff__add__assoc2,
% 289.65/57.18 fact_diff__add__cancel, fact_diff__add__inverse, fact_diff__add__inverse2,
% 289.65/57.18 fact_diff__bin__simps_I10_J, fact_diff__bin__simps_I1_J,
% 289.65/57.18 fact_diff__bin__simps_I3_J, fact_diff__bin__simps_I4_J,
% 289.65/57.18 fact_diff__bin__simps_I5_J, fact_diff__bin__simps_I6_J,
% 289.65/57.18 fact_diff__bin__simps_I7_J, fact_diff__bin__simps_I9_J, fact_diff__cancel,
% 289.65/57.18 fact_diff__cancel2, fact_diff__commute, fact_diff__diff__cancel,
% 289.65/57.18 fact_diff__diff__left, fact_diff__diff__right, fact_diff__divide__distrib,
% 289.65/57.18 fact_diff__divide__eq__iff, fact_diff__eq__diff__eq, fact_diff__eq__diff__less,
% 289.65/57.18 fact_diff__eq__diff__less__eq, fact_diff__frac__eq, fact_diff__le__mono,
% 289.65/57.18 fact_diff__le__mono2, fact_diff__le__self, fact_diff__less__mono2,
% 289.65/57.18 fact_diff__mult__distrib, fact_diff__mult__distrib2, fact_diff__self,
% 289.65/57.18 fact_diffs0__imp__equal, fact_divide_Oadd, fact_divide_Odiff, fact_divide_Ozero,
% 289.65/57.18 fact_divide__1, fact_divide__Numeral0, fact_divide__add__eq__iff,
% 289.65/57.18 fact_divide__diff__eq__iff, fact_divide__eq__eq,
% 289.65/57.18 fact_divide__eq__eq__number__of, fact_divide__eq__eq__number__of1,
% 289.65/57.18 fact_divide__eq__imp, fact_divide__le__eq, fact_divide__le__eq__number__of,
% 289.65/57.18 fact_divide__le__eq__number__of1, fact_divide__left__mono,
% 289.65/57.18 fact_divide__left__mono__neg, fact_divide__less__eq,
% 289.65/57.18 fact_divide__less__eq__number__of, fact_divide__less__eq__number__of1,
% 289.65/57.18 fact_divide__right__mono, fact_divide__right__mono__neg, fact_divide__self,
% 289.65/57.18 fact_divide__self__if, fact_divide__strict__left__mono,
% 289.65/57.18 fact_divide__strict__left__mono__neg, fact_divide__strict__right__mono,
% 289.65/57.18 fact_divide__strict__right__mono__neg, fact_divide__zero,
% 289.65/57.18 fact_divide__zero__left, fact_double__add__le__zero__iff__single__add__le__zero,
% 289.65/57.18 fact_double__add__less__zero__iff__single__add__less__zero,
% 289.65/57.18 fact_double__eq__0__iff, fact_double__number__of__Bit0, fact_double__zero__sym,
% 289.65/57.18 fact_eq__add__iff1, fact_eq__add__iff2, fact_eq__diff__iff, fact_eq__divide__eq,
% 289.65/57.18 fact_eq__divide__eq__number__of, fact_eq__divide__eq__number__of1,
% 289.65/57.18 fact_eq__divide__imp, fact_eq__iff__diff__eq__0, fact_eq__imp__le,
% 289.65/57.18 fact_eq__number__of, fact_even__less__0__iff, fact_ext, fact_frac__eq__eq,
% 289.65/57.18 fact_frac__le, fact_frac__less, fact_frac__less2, fact_gr0I, fact_gt__half__sum,
% 289.65/57.18 fact_i__squared, fact_leD, fact_leI, fact_le__0__eq, fact_le__SucE,
% 289.65/57.18 fact_le__SucI, fact_le__Suc__eq, fact_le__Suc__ex__iff, fact_le__add1,
% 289.65/57.18 fact_le__add2, fact_le__add__diff, fact_le__add__diff__inverse,
% 289.65/57.18 fact_le__add__diff__inverse2, fact_le__add__iff1, fact_le__add__iff2,
% 289.65/57.18 fact_le__antisym, fact_le__cube, fact_le__diff__conv, fact_le__diff__conv2,
% 289.65/57.18 fact_le__diff__iff, fact_le__divide__eq, fact_le__divide__eq__number__of,
% 289.65/57.18 fact_le__divide__eq__number__of1, fact_le__eq__less__or__eq, fact_le__funD,
% 289.65/57.18 fact_le__funE, fact_le__fun__def, fact_le__iff__add, fact_le__iff__diff__le__0,
% 289.65/57.18 fact_le__imp__diff__is__add, fact_le__imp__less__Suc, fact_le__less__Suc__eq,
% 289.65/57.18 fact_le__nat__number__of, fact_le__neq__implies__less, fact_le__number__of,
% 289.65/57.18 fact_le__number__of__eq__not__less, fact_le__refl, fact_le__square,
% 289.65/57.18 fact_le__trans, fact_left__add__mult__distrib,
% 289.65/57.18 fact_left__diff__distrib__number__of, fact_left__distrib__number__of,
% 289.65/57.18 fact_lemma__realpow__diff, fact_lessI, fact_less__1__mult, fact_less__SucE,
% 289.65/57.18 fact_less__SucI, fact_less__Suc__eq, fact_less__Suc__eq__le,
% 289.65/57.18 fact_less__add__Suc1, fact_less__add__Suc2, fact_less__add__eq__less,
% 289.65/57.18 fact_less__add__iff1, fact_less__add__iff2, fact_less__add__one,
% 289.65/57.18 fact_less__antisym, fact_less__divide__eq, fact_less__divide__eq__number__of,
% 289.65/57.18 fact_less__divide__eq__number__of1, fact_less__eq__Suc__le,
% 289.65/57.18 fact_less__eq__int__code_I13_J, fact_less__eq__int__code_I14_J,
% 289.65/57.18 fact_less__eq__int__code_I16_J, fact_less__eq__real__def, fact_less__fun__def,
% 289.65/57.18 fact_less__half__sum, fact_less__iff__Suc__add, fact_less__iff__diff__less__0,
% 289.65/57.18 fact_less__imp__diff__less, fact_less__imp__le__nat, fact_less__imp__neq,
% 289.65/57.18 fact_less__int__code_I13_J, fact_less__int__code_I15_J,
% 289.65/57.18 fact_less__int__code_I16_J, fact_less__irrefl__nat, fact_less__nat__number__of,
% 289.65/57.18 fact_less__not__refl, fact_less__not__refl2, fact_less__not__refl3,
% 289.65/57.18 fact_less__number__of, fact_less__number__of__int__code,
% 289.65/57.18 fact_less__or__eq__imp__le, fact_less__special_I1_J, fact_less__trans__Suc,
% 289.65/57.18 fact_linorder__antisym__conv1, fact_linorder__antisym__conv2,
% 289.65/57.18 fact_linorder__antisym__conv3, fact_linorder__cases, fact_linorder__le__cases,
% 289.65/57.18 fact_linorder__le__less__linear, fact_linorder__less__linear,
% 289.65/57.18 fact_linorder__linear, fact_linorder__neqE,
% 289.65/57.18 fact_linorder__neqE__linordered__idom, fact_linorder__neqE__nat,
% 289.65/57.18 fact_linorder__neq__iff, fact_linorder__not__le, fact_linorder__not__less,
% 289.65/57.18 fact_mult_Oadd__left, fact_mult_Oadd__right, fact_mult_Ocomm__neutral,
% 289.65/57.18 fact_mult_Odiff__left, fact_mult_Odiff__right, fact_mult_Oprod__diff__prod,
% 289.65/57.18 fact_mult_Ozero__left, fact_mult_Ozero__right, fact_mult__0__right,
% 289.65/57.18 fact_mult__1, fact_mult__1__left, fact_mult__1__right, fact_mult__Bit0,
% 289.65/57.18 fact_mult__Bit1, fact_mult__Pls, fact_mult__Suc, fact_mult__Suc__right,
% 289.65/57.18 fact_mult__diff__mult, fact_mult__divide__mult__cancel__left,
% 289.65/57.18 fact_mult__divide__mult__cancel__right, fact_mult__imp__div__pos__le,
% 289.65/57.18 fact_mult__imp__div__pos__less, fact_mult__imp__le__div__pos,
% 289.65/57.18 fact_mult__imp__less__div__pos, fact_mult__le__cancel__left__neg,
% 289.65/57.18 fact_mult__le__cancel__left__pos, fact_mult__le__less__imp__less,
% 289.65/57.18 fact_mult__le__mono, fact_mult__le__mono1, fact_mult__le__mono2,
% 289.65/57.18 fact_mult__left_Oadd, fact_mult__left_Odiff, fact_mult__left_Ozero,
% 289.65/57.18 fact_mult__left__le__imp__le, fact_mult__left__le__one__le,
% 289.65/57.18 fact_mult__left__less__imp__less, fact_mult__left__mono,
% 289.65/57.18 fact_mult__left__mono__neg, fact_mult__less__cancel__left__disj,
% 289.65/57.18 fact_mult__less__cancel__left__neg, fact_mult__less__cancel__left__pos,
% 289.65/57.18 fact_mult__less__cancel__right__disj, fact_mult__less__imp__less__left,
% 289.65/57.18 fact_mult__less__imp__less__right, fact_mult__less__le__imp__less,
% 289.65/57.18 fact_mult__mono, fact_mult__mono_H, fact_mult__neg__pos,
% 289.65/57.18 fact_mult__nonpos__nonneg, fact_mult__number__of__left, fact_mult__right_Oadd,
% 289.65/57.18 fact_mult__right_Odiff, fact_mult__right_Ozero, fact_mult__right__le__imp__le,
% 289.65/57.18 fact_mult__right__le__one__le, fact_mult__right__less__imp__less,
% 289.65/57.18 fact_mult__right__mono, fact_mult__right__mono__neg,
% 289.65/57.18 fact_mult__strict__left__mono, fact_mult__strict__left__mono__neg,
% 289.65/57.18 fact_mult__strict__mono, fact_mult__strict__mono_H,
% 289.65/57.18 fact_mult__strict__right__mono, fact_mult__strict__right__mono__neg,
% 289.65/57.18 fact_mult__zero__left, fact_mult__zero__right, fact_n__not__Suc__n,
% 289.65/57.18 fact_nat_Oinject, fact_nat__add__assoc, fact_nat__add__commute,
% 289.65/57.18 fact_nat__add__left__cancel, fact_nat__add__left__cancel__le,
% 289.65/57.18 fact_nat__add__left__cancel__less, fact_nat__add__left__commute,
% 289.65/57.18 fact_nat__add__right__cancel, fact_nat__diff__add__eq1,
% 289.65/57.18 fact_nat__diff__add__eq2, fact_nat__eq__add__iff1, fact_nat__eq__add__iff2,
% 289.65/57.18 fact_nat__le__add__iff1, fact_nat__le__add__iff2, fact_nat__le__linear,
% 289.65/57.18 fact_nat__less__cases, fact_nat__less__le, fact_nat__mult__assoc,
% 289.65/57.18 fact_nat__mult__commute, fact_nat__neq__iff, fact_neg__divide__le__eq,
% 289.65/57.18 fact_neg__divide__less__eq, fact_neg__le__divide__eq,
% 289.65/57.18 fact_neg__less__divide__eq, fact_neq0__conv, fact_nonzero__abs__divide,
% 289.65/57.18 fact_nonzero__divide__eq__eq, fact_nonzero__eq__divide__eq,
% 289.65/57.18 fact_nonzero__norm__divide, fact_nonzero__power__divide, fact_norm__add__less,
% 289.65/57.18 fact_norm__diff__ineq, fact_norm__diff__triangle__ineq, fact_norm__divide,
% 289.65/57.18 fact_norm__minus__commute, fact_norm__number__of, fact_norm__triangle__ineq,
% 289.65/57.18 fact_norm__triangle__ineq2, fact_norm__triangle__ineq3,
% 289.65/57.18 fact_norm__triangle__ineq4, fact_not__add__less1, fact_not__add__less2,
% 289.65/57.18 fact_not__leE, fact_not__less__eq, fact_not__less__eq__eq,
% 289.65/57.18 fact_not__less__iff__gr__or__eq, fact_not__less__less__Suc__eq,
% 289.65/57.18 fact_not__square__less__zero, fact_not__sum__squares__lt__zero,
% 289.65/57.18 fact_number__of__Bit0, fact_number__of__Bit1, fact_number__of__Pls,
% 289.65/57.18 fact_number__of__add, fact_number__of__diff, fact_number__of__mult,
% 289.65/57.18 fact_number__of__reorient, fact_one__le__power, fact_one__neq__zero,
% 289.65/57.18 fact_one__reorient, fact_ord__eq__le__trans, fact_ord__eq__less__trans,
% 289.65/57.18 fact_ord__le__eq__trans, fact_ord__less__eq__trans, fact_order__antisym,
% 289.65/57.18 fact_order__antisym__conv, fact_order__eq__iff, fact_order__eq__refl,
% 289.65/57.18 fact_order__le__imp__less__or__eq, fact_order__le__less,
% 289.65/57.18 fact_order__le__less__trans, fact_order__le__neq__trans, fact_order__less__asym,
% 289.65/57.18 fact_order__less__asym_H, fact_order__less__imp__le,
% 289.65/57.18 fact_order__less__imp__not__eq, fact_order__less__imp__not__eq2,
% 289.65/57.18 fact_order__less__imp__not__less, fact_order__less__irrefl,
% 289.65/57.18 fact_order__less__le, fact_order__less__le__trans, fact_order__less__not__sym,
% 289.65/57.18 fact_order__less__trans, fact_order__neq__le__trans, fact_order__refl,
% 289.65/57.18 fact_order__trans, fact_plus__nat_Oadd__0, fact_plus__numeral__code_I9_J,
% 289.65/57.18 fact_pos__add__strict, fact_pos__divide__le__eq, fact_pos__divide__less__eq,
% 289.65/57.18 fact_pos__le__divide__eq, fact_pos__less__divide__eq,
% 289.65/57.18 fact_power_Opower_Opower__Suc, fact_power__0__Suc, fact_power__Suc,
% 289.65/57.18 fact_power__Suc2, fact_power__Suc__less, fact_power__Suc__less__one,
% 289.65/57.18 fact_power__abs, fact_power__add, fact_power__commutes, fact_power__decreasing,
% 289.65/57.18 fact_power__diff, fact_power__divide, fact_power__gt1, fact_power__gt1__lemma,
% 289.65/57.18 fact_power__increasing, fact_power__increasing__iff, fact_power__inject__base,
% 289.65/57.18 fact_power__inject__exp, fact_power__le__imp__le__base,
% 289.65/57.18 fact_power__le__imp__le__exp, fact_power__less__imp__less__base,
% 289.65/57.18 fact_power__less__imp__less__exp, fact_power__less__power__Suc,
% 289.65/57.18 fact_power__mult, fact_power__mult__distrib, fact_power__one,
% 289.65/57.18 fact_power__one__over, fact_power__power__power, fact_power__strict__decreasing,
% 289.65/57.18 fact_power__strict__increasing, fact_power__strict__increasing__iff,
% 289.65/57.18 fact_power__strict__mono, fact_real__add__left__mono, fact_real__le__antisym,
% 289.65/57.18 fact_real__le__linear, fact_real__le__refl, fact_real__le__trans,
% 289.65/57.18 fact_real__less__def, fact_real__norm__def, fact_real__sqrt__divide,
% 289.65/57.18 fact_real__sqrt__eq__iff, fact_real__sqrt__le__iff, fact_real__sqrt__le__mono,
% 289.65/57.18 fact_real__sqrt__less__iff, fact_real__sqrt__less__mono,
% 289.65/57.18 fact_real__squared__diff__one__factored, fact_realpow__Suc__le__self,
% 289.65/57.18 fact_rel__simps_I10_J, fact_rel__simps_I12_J, fact_rel__simps_I14_J,
% 289.65/57.18 fact_rel__simps_I16_J, fact_rel__simps_I17_J, fact_rel__simps_I19_J,
% 289.65/57.18 fact_rel__simps_I21_J, fact_rel__simps_I22_J, fact_rel__simps_I24_J,
% 289.65/57.18 fact_rel__simps_I26_J, fact_rel__simps_I27_J, fact_rel__simps_I28_J,
% 289.65/57.18 fact_rel__simps_I2_J, fact_rel__simps_I30_J, fact_rel__simps_I31_J,
% 289.65/57.18 fact_rel__simps_I32_J, fact_rel__simps_I34_J, fact_rel__simps_I37_J,
% 289.65/57.18 fact_rel__simps_I38_J, fact_rel__simps_I39_J, fact_rel__simps_I40_J,
% 289.65/57.18 fact_rel__simps_I42_J, fact_rel__simps_I43_J, fact_rel__simps_I44_J,
% 289.65/57.18 fact_rel__simps_I45_J, fact_rel__simps_I46_J, fact_rel__simps_I47_J,
% 289.65/57.18 fact_rel__simps_I48_J, fact_rel__simps_I49_J, fact_rel__simps_I4_J,
% 289.65/57.18 fact_rel__simps_I50_J, fact_rel__simps_I51_J,
% 289.65/57.18 fact_right__diff__distrib__number__of, fact_right__distrib__number__of,
% 289.65/57.18 fact_right__inverse__eq, fact_right__minus__eq, fact_semiring__norm_I112_J,
% 289.65/57.18 fact_sum__squares__eq__zero__iff, fact_sum__squares__ge__zero,
% 289.65/57.18 fact_sum__squares__gt__zero__iff, fact_sum__squares__le__zero__iff,
% 289.65/57.18 fact_times__divide__eq__right, fact_times__divide__times__eq,
% 289.65/57.18 fact_times__numeral__code_I5_J, fact_trans__le__add1, fact_trans__le__add2,
% 289.65/57.18 fact_trans__less__add1, fact_trans__less__add2, fact_xt1_I10_J, fact_xt1_I11_J,
% 289.65/57.18 fact_xt1_I12_J, fact_xt1_I1_J, fact_xt1_I2_J, fact_xt1_I3_J, fact_xt1_I4_J,
% 289.65/57.18 fact_xt1_I5_J, fact_xt1_I6_J, fact_xt1_I7_J, fact_xt1_I8_J, fact_xt1_I9_J,
% 289.65/57.18 fact_zadd__assoc, fact_zadd__commute, fact_zadd__left__commute,
% 289.65/57.18 fact_zadd__left__mono, fact_zadd__strict__right__mono,
% 289.65/57.18 fact_zadd__zmult__distrib, fact_zadd__zmult__distrib2,
% 289.65/57.18 fact_zdiff__zmult__distrib, fact_zdiff__zmult__distrib2,
% 289.65/57.18 fact_zero__le__double__add__iff__zero__le__single__add, fact_zero__le__square,
% 289.65/57.18 fact_zero__less__double__add__iff__zero__less__single__add,
% 289.65/57.18 fact_zero__less__two, fact_zero__neq__one, fact_zero__reorient,
% 289.65/57.18 fact_zle__antisym, fact_zle__linear, fact_zle__refl, fact_zle__trans,
% 289.65/57.18 fact_zless__le, fact_zless__linear, fact_zmult__1, fact_zmult__1__right,
% 289.65/57.18 fact_zmult__assoc, fact_zmult__commute, fact_zpower__zadd__distrib,
% 289.65/57.18 fact_zpower__zpower
% 289.65/57.18
% 289.65/57.18 Those formulas are unsatisfiable:
% 289.65/57.18 ---------------------------------
% 289.65/57.18
% 289.65/57.18 Begin of proof
% 290.23/57.20 |
% 290.23/57.20 | ALPHA: (fact__096abs_A_I2_A_K_Ax_J_A_060_061_A1_096) implies:
% 290.23/57.20 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.23/57.20 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 290.23/57.20 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 290.23/57.20 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 290.23/57.20 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 290.23/57.20 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v5) = v6 &
% 290.23/57.20 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v7 & hAPP(v4, v_x____)
% 290.23/57.20 | = v5 & hAPP(v0, v3) = v4 & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3)
% 290.23/57.20 | & $i(v2) & $i(v1) & $i(v0) &
% 290.23/57.20 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v7))
% 290.23/57.20 |
% 290.23/57.20 | ALPHA: (fact__096abs_A_I2_A_K_Ay_J_A_060_061_A1_096) implies:
% 290.23/57.20 | (2) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.23/57.20 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 290.23/57.20 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 290.23/57.20 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 290.23/57.20 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 290.23/57.20 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v5) = v6 &
% 290.23/57.20 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v7 & hAPP(v4, v_y____)
% 290.23/57.20 | = v5 & hAPP(v0, v3) = v4 & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3)
% 290.23/57.20 | & $i(v2) & $i(v1) & $i(v0) &
% 290.23/57.20 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v7))
% 290.23/57.20 |
% 290.23/57.20 | ALPHA: (fact__0962_A_K_Ax_A_060_061_A1_096) implies:
% 290.23/57.20 | (3) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.23/57.20 | ? [v5: $i] : ? [v6: $i] :
% 290.23/57.20 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 290.23/57.20 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 290.23/57.20 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 290.23/57.20 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v6 & hAPP(v4, v_x____)
% 290.23/57.20 | = v5 & hAPP(v0, v3) = v4 & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2)
% 290.23/57.20 | & $i(v1) & $i(v0) &
% 290.23/57.20 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v6))
% 290.23/57.20 |
% 290.23/57.20 | ALPHA: (fact__0962_A_K_Ay_A_060_061_A1_096) implies:
% 290.23/57.20 | (4) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.23/57.20 | ? [v5: $i] : ? [v6: $i] :
% 290.23/57.20 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 290.23/57.20 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 290.23/57.20 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 290.23/57.20 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v6 & hAPP(v4, v_y____)
% 290.23/57.20 | = v5 & hAPP(v0, v3) = v4 & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2)
% 290.23/57.20 | & $i(v1) & $i(v0) &
% 290.23/57.20 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v6))
% 290.23/57.20 |
% 290.23/57.20 | ALPHA: (fact_two__realpow__ge__one) implies:
% 290.23/57.20 | (5) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.23/57.20 | ? [v5: $i] : (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v1 &
% 290.23/57.20 | c_Int_OBit1(c_Int_OPls) = v2 & c_Int_OBit0(v2) = v3 &
% 290.23/57.20 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v3) = v4 &
% 290.23/57.20 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & hAPP(v1, v4) = v5
% 290.23/57.20 | & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v6: $i] :
% 290.23/57.20 | ! [v7: $i] : ( ~ (hAPP(v5, v6) = v7) | ~ $i(v6) |
% 290.23/57.20 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v7)))
% 290.23/57.20 |
% 290.23/57.20 | ALPHA: (fact_four__x__squared) implies:
% 290.23/57.20 | (6) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.23/57.20 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 290.23/57.20 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v6 &
% 290.23/57.20 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 290.23/57.20 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v2) = v3 & c_Int_OBit0(v1)
% 290.23/57.20 | = v2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v7 &
% 290.23/57.20 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v3) = v4 &
% 290.23/57.20 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v8 &
% 290.23/57.20 | hAPP(v0, v8) = v9 & hAPP(v0, v4) = v5 & $i(v9) & $i(v8) & $i(v7) &
% 290.23/57.20 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & !
% 290.23/57.20 | [v10: $i] : ! [v11: $i] : ( ~ (hAPP(v9, v10) = v11) | ~ $i(v10) |
% 290.23/57.20 | ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] :
% 290.23/57.20 | (hAPP(v15, v7) = v14 & hAPP(v12, v7) = v13 & hAPP(v6, v11) = v15 &
% 290.23/57.20 | hAPP(v6, v10) = v12 & hAPP(v5, v13) = v14 & $i(v15) & $i(v14) &
% 290.23/57.20 | $i(v13) & $i(v12))))
% 290.23/57.20 |
% 290.23/57.20 | ALPHA: (fact_power2__eq__square__number__of) implies:
% 290.23/57.20 | (7) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) = v0
% 290.23/57.20 | & c_Int_OBit0(v0) = v1 &
% 290.23/57.20 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 290.23/57.20 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 290.23/57.20 | $i] : ! [v7: $i] : ! [v8: $i] : ( ~
% 290.23/57.20 | (c_Groups_Otimes__class_Otimes(v4) = v6) | ~
% 290.23/57.20 | (c_Int_Onumber__class_Onumber__of(v4, v3) = v5) | ~ (hAPP(v7, v5)
% 290.23/57.20 | = v8) | ~ (hAPP(v6, v5) = v7) | ~ $i(v4) | ~ $i(v3) | ~
% 290.23/57.20 | class_Int_Onumber(v4) | ~ class_Groups_Omonoid__mult(v4) | ? [v9:
% 290.23/57.20 | $i] : ? [v10: $i] : (c_Power_Opower__class_Opower(v4) = v9 &
% 290.23/57.20 | hAPP(v10, v2) = v8 & hAPP(v9, v5) = v10 & $i(v10) & $i(v9) &
% 290.23/57.20 | $i(v8))))
% 290.23/57.20 |
% 290.23/57.20 | ALPHA: (fact_abs__power2) implies:
% 290.23/57.20 | (8) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) = v0
% 290.23/57.20 | & c_Int_OBit0(v0) = v1 &
% 290.23/57.20 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 290.23/57.20 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 290.23/57.20 | $i] : ! [v7: $i] : ! [v8: $i] : (v8 = v7 | ~
% 290.23/57.20 | (c_Power_Opower__class_Opower(v4) = v5) | ~
% 290.23/57.20 | (c_Groups_Oabs__class_Oabs(v4, v7) = v8) | ~ (hAPP(v6, v2) = v7) |
% 290.23/57.20 | ~ (hAPP(v5, v3) = v6) | ~ $i(v4) | ~ $i(v3) | ~
% 290.23/57.20 | class_Rings_Olinordered__idom(v4)))
% 290.23/57.20 |
% 290.23/57.20 | ALPHA: (fact_power2__abs) implies:
% 290.23/57.20 | (9) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) = v0
% 290.23/57.20 | & c_Int_OBit0(v0) = v1 &
% 290.23/57.20 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 290.23/57.20 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 290.23/57.20 | $i] : ! [v7: $i] : ( ~ (c_Power_Opower__class_Opower(v4) = v5) |
% 290.23/57.20 | ~ (c_Groups_Oabs__class_Oabs(v4, v3) = v6) | ~ (hAPP(v5, v6) = v7)
% 290.23/57.20 | | ~ $i(v4) | ~ $i(v3) | ~ class_Rings_Olinordered__idom(v4) | ?
% 290.23/57.20 | [v8: $i] : ? [v9: $i] : (hAPP(v9, v2) = v8 & hAPP(v7, v2) = v8 &
% 290.23/57.20 | hAPP(v5, v3) = v9 & $i(v9) & $i(v8))))
% 290.23/57.20 |
% 290.23/57.20 | ALPHA: (fact_one__power2) implies:
% 290.23/57.20 | (10) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 290.23/57.20 | v0 & c_Int_OBit0(v0) = v1 &
% 290.23/57.20 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 290.23/57.20 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 290.23/57.20 | $i] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~
% 290.23/57.20 | (c_Groups_Oone__class_Oone(v3) = v5) | ~ (hAPP(v4, v5) = v6) | ~
% 290.23/57.20 | $i(v3) | ~ class_Rings_Osemiring__1(v3) | (hAPP(v6, v2) = v5 &
% 290.23/57.20 | $i(v5))))
% 290.23/57.20 |
% 290.23/57.20 | ALPHA: (fact_comm__semiring__1__class_Onormalizing__semiring__rules_I29_J)
% 290.23/57.20 | implies:
% 290.23/57.21 | (11) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 290.23/57.21 | v0 & c_Int_OBit0(v0) = v1 &
% 290.23/57.21 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 290.23/57.21 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 290.23/57.21 | $i] : ! [v7: $i] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) |
% 290.23/57.21 | ~ (hAPP(v6, v3) = v7) | ~ (hAPP(v5, v3) = v6) | ~ $i(v4) | ~
% 290.23/57.21 | $i(v3) | ~ class_Rings_Ocomm__semiring__1(v4) | ? [v8: $i] : ?
% 290.23/57.21 | [v9: $i] : (c_Power_Opower__class_Opower(v4) = v8 & hAPP(v9, v2) =
% 290.23/57.21 | v7 & hAPP(v8, v3) = v9 & $i(v9) & $i(v8) & $i(v7))))
% 290.23/57.21 |
% 290.23/57.21 | ALPHA: (fact_power2__eq__square) implies:
% 290.23/57.21 | (12) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 290.23/57.21 | v0 & c_Int_OBit0(v0) = v1 &
% 290.23/57.21 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 290.23/57.21 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 290.23/57.21 | $i] : ! [v7: $i] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) |
% 290.23/57.21 | ~ (hAPP(v6, v3) = v7) | ~ (hAPP(v5, v3) = v6) | ~ $i(v4) | ~
% 290.23/57.21 | $i(v3) | ~ class_Groups_Omonoid__mult(v4) | ? [v8: $i] : ? [v9:
% 290.23/57.21 | $i] : (c_Power_Opower__class_Opower(v4) = v8 & hAPP(v9, v2) = v7
% 290.23/57.21 | & hAPP(v8, v3) = v9 & $i(v9) & $i(v8) & $i(v7))))
% 290.23/57.21 |
% 290.23/57.21 | ALPHA: (fact_comm__semiring__1__class_Onormalizing__semiring__rules_I36_J)
% 290.23/57.21 | implies:
% 290.23/57.21 | (13) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.23/57.21 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 290.23/57.21 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 290.23/57.21 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & hAPP(v0,
% 290.23/57.21 | v3) = v4 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5:
% 290.23/57.21 | $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : !
% 290.23/57.21 | [v10: $i] : ! [v11: $i] : ( ~ (c_Power_Opower__class_Opower(v7) =
% 290.23/57.21 | v8) | ~ (hAPP(v9, v10) = v11) | ~ (hAPP(v8, v6) = v9) | ~
% 290.23/57.21 | (hAPP(v4, v5) = v10) | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~
% 290.23/57.21 | class_Rings_Ocomm__semiring__1(v7) | ? [v12: $i] : ? [v13: $i] :
% 290.23/57.21 | ? [v14: $i] : (c_Groups_Otimes__class_Otimes(v7) = v12 &
% 290.23/57.21 | hAPP(v14, v13) = v11 & hAPP(v12, v13) = v14 & hAPP(v9, v5) = v13
% 290.23/57.21 | & $i(v14) & $i(v13) & $i(v12) & $i(v11))))
% 290.23/57.21 |
% 290.23/57.21 | ALPHA: (fact__096_N1_A_060_061_A2_A_K_Ax_096) implies:
% 290.23/57.21 | (14) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.23/57.21 | ? [v5: $i] : ? [v6: $i] :
% 290.23/57.21 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 290.23/57.21 | c_Int_OBit1(c_Int_OPls) = v2 & c_Int_OBit0(v2) = v3 &
% 290.23/57.21 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v3) = v4 &
% 290.23/57.21 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OMin) = v0
% 290.23/57.21 | & hAPP(v5, v_x____) = v6 & hAPP(v1, v4) = v5 & $i(v6) & $i(v5) &
% 290.23/57.21 | $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 290.23/57.21 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v6))
% 290.23/57.21 |
% 290.23/57.21 | ALPHA: (fact_power3__eq__cube) implies:
% 290.23/57.21 | (15) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(v0) = v1 &
% 290.23/57.21 | c_Int_OBit1(c_Int_OPls) = v0 &
% 290.23/57.21 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 290.23/57.21 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 290.23/57.21 | $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~
% 290.23/57.21 | (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (hAPP(v8, v3) = v9)
% 290.23/57.21 | | ~ (hAPP(v6, v3) = v7) | ~ (hAPP(v5, v7) = v8) | ~ (hAPP(v5,
% 290.23/57.21 | v3) = v6) | ~ $i(v4) | ~ $i(v3) | ~
% 290.23/57.21 | class_Groups_Omonoid__mult(v4) | ? [v10: $i] : ? [v11: $i] :
% 290.23/57.21 | (c_Power_Opower__class_Opower(v4) = v10 & hAPP(v11, v2) = v9 &
% 290.23/57.21 | hAPP(v10, v3) = v11 & $i(v11) & $i(v10) & $i(v9))))
% 290.23/57.21 |
% 290.23/57.21 | ALPHA: (fact__096_N1_A_060_061_A2_A_K_Ay_096) implies:
% 290.23/57.21 | (16) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.23/57.21 | ? [v5: $i] : ? [v6: $i] :
% 290.23/57.21 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 290.23/57.21 | c_Int_OBit1(c_Int_OPls) = v2 & c_Int_OBit0(v2) = v3 &
% 290.23/57.21 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v3) = v4 &
% 290.23/57.21 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OMin) = v0
% 290.23/57.21 | & hAPP(v5, v_y____) = v6 & hAPP(v1, v4) = v5 & $i(v6) & $i(v5) &
% 290.23/57.21 | $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 290.23/57.21 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v6))
% 290.23/57.21 |
% 290.23/57.21 | ALPHA: (fact_eq__number__of__Pls__Min) implies:
% 290.23/57.21 | (17) ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) &
% 290.23/57.21 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OMin) = v1 &
% 290.23/57.21 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls) = v0 &
% 290.23/57.21 | $i(v1) & $i(v0))
% 290.23/57.21 |
% 290.23/57.21 | ALPHA: (fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J)
% 290.23/57.21 | implies:
% 290.23/57.21 | (18) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v0) &
% 290.23/57.21 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 290.23/57.21 | (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v3, v1) = v4) |
% 290.23/57.21 | ~ $i(v2) | ~ $i(v1) | ~ class_Rings_Ocomm__semiring__1(v2) |
% 290.23/57.21 | hAPP(v4, v0) = v1))
% 290.23/57.21 |
% 290.23/57.21 | ALPHA: (fact_nat__numeral__1__eq__1) implies:
% 290.23/57.21 | (19) ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 290.23/57.21 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v1 &
% 290.23/57.21 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v1) & $i(v0))
% 290.23/57.21 |
% 290.23/57.21 | ALPHA: (fact_Numeral1__eq1__nat) implies:
% 290.23/57.21 | (20) ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v1 &
% 290.23/57.21 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v0 &
% 290.23/57.21 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v1) & $i(v0))
% 290.23/57.21 |
% 290.23/57.21 | ALPHA: (fact_power__m1__even) implies:
% 290.23/57.21 | (21) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.23/57.21 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 290.23/57.21 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 290.23/57.21 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & hAPP(v0,
% 290.23/57.21 | v3) = v4 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5:
% 290.23/57.21 | $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : !
% 290.23/57.21 | [v10: $i] : ! [v11: $i] : ( ~ (c_Power_Opower__class_Opower(v6) =
% 290.23/57.21 | v7) | ~ (c_Int_Onumber__class_Onumber__of(v6, c_Int_OMin) = v8)
% 290.23/57.21 | | ~ (hAPP(v9, v10) = v11) | ~ (hAPP(v7, v8) = v9) | ~ (hAPP(v4,
% 290.23/57.21 | v5) = v10) | ~ $i(v6) | ~ $i(v5) | ~
% 290.23/57.21 | class_Int_Onumber__ring(v6) | (c_Groups_Oone__class_Oone(v6) = v11
% 290.23/57.21 | & $i(v11))))
% 290.23/57.21 |
% 290.23/57.21 | ALPHA: (fact_real__mult__assoc) implies:
% 290.23/57.21 | (22) ? [v0: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 290.23/57.21 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 290.23/57.21 | [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~ (hAPP(v6, v1) = v7) | ~
% 290.23/57.21 | (hAPP(v4, v2) = v5) | ~ (hAPP(v0, v5) = v6) | ~ (hAPP(v0, v3) =
% 290.23/57.21 | v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v8: $i] : ? [v9:
% 290.23/57.21 | $i] : (hAPP(v8, v1) = v9 & hAPP(v4, v9) = v7 & hAPP(v0, v2) = v8
% 290.23/57.21 | & $i(v9) & $i(v8) & $i(v7))))
% 290.23/57.21 |
% 290.23/57.21 | ALPHA: (fact_real__mult__commute) implies:
% 290.23/57.21 | (23) ? [v0: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 290.23/57.21 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 290.23/57.21 | (hAPP(v3, v2) = v4) | ~ (hAPP(v0, v1) = v3) | ~ $i(v2) | ~
% 290.23/57.21 | $i(v1) | ? [v5: $i] : (hAPP(v5, v1) = v4 & hAPP(v0, v2) = v5 &
% 290.23/57.21 | $i(v5) & $i(v4))))
% 290.23/57.21 |
% 290.23/57.21 | ALPHA: (fact_power__even__eq) implies:
% 290.23/57.21 | (24) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.23/57.21 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 290.23/57.21 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 290.23/57.21 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & hAPP(v0,
% 290.23/57.21 | v3) = v4 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5:
% 290.23/57.21 | $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : !
% 290.23/57.21 | [v10: $i] : ! [v11: $i] : ( ~ (c_Power_Opower__class_Opower(v7) =
% 290.23/57.21 | v8) | ~ (hAPP(v9, v10) = v11) | ~ (hAPP(v8, v6) = v9) | ~
% 290.23/57.21 | (hAPP(v4, v5) = v10) | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~
% 290.23/57.21 | class_Groups_Omonoid__mult(v7) | ? [v12: $i] : ? [v13: $i] :
% 290.23/57.21 | (hAPP(v13, v3) = v11 & hAPP(v9, v5) = v12 & hAPP(v8, v12) = v13 &
% 290.23/57.21 | $i(v13) & $i(v12) & $i(v11))))
% 290.23/57.21 |
% 290.23/57.21 | ALPHA: (fact_real__mult__1) implies:
% 290.23/57.21 | (25) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 290.23/57.21 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 290.23/57.21 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & hAPP(v0, v1) = v2
% 290.23/57.21 | & $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : (v4 = v3 |
% 290.23/57.21 | ~ (hAPP(v2, v3) = v4) | ~ $i(v3)))
% 290.23/57.21 |
% 290.23/57.21 | ALPHA: (fact_xy) implies:
% 290.23/57.21 | (26) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.23/57.21 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 290.23/57.21 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v7) = v8 &
% 290.23/57.21 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 &
% 290.23/57.21 | c_Int_OBit1(c_Int_OPls) = v2 & c_Int_OBit0(v2) = v3 &
% 290.23/57.21 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v3) = v4 &
% 290.23/57.21 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v8 & hAPP(v6, v4) = v7
% 290.23/57.21 | & hAPP(v1, v4) = v5 & hAPP(v0, v_y____) = v6 & hAPP(v0, v_x____) =
% 290.23/57.21 | v1 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 290.23/57.21 | $i(v1) & $i(v0))
% 290.23/57.21 |
% 290.23/57.21 | ALPHA: (fact_le__special_I4_J) implies:
% 290.23/57.21 | (27) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 290.23/57.21 | ! [v2: $i] : ! [v3: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v2,
% 290.23/57.21 | v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 290.23/57.21 | class_Int_Onumber__ring(v2) | ~ class_Rings_Olinordered__idom(v2)
% 290.23/57.21 | | ? [v4: $i] : (( ~
% 290.23/57.21 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) |
% 290.23/57.21 | (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) &
% 290.23/57.21 | c_Orderings_Oord__class_Oless__eq(v2, v3, v4))) &
% 290.23/57.21 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) |
% 290.23/57.21 | (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) & ~
% 290.23/57.21 | c_Orderings_Oord__class_Oless__eq(v2, v3, v4))))))
% 290.23/57.21 |
% 290.23/57.21 | ALPHA: (fact_le__special_I2_J) implies:
% 290.23/57.21 | (28) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 290.23/57.21 | ! [v2: $i] : ! [v3: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v2,
% 290.23/57.21 | v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 290.23/57.21 | class_Int_Onumber__ring(v2) | ~ class_Rings_Olinordered__idom(v2)
% 290.23/57.21 | | ? [v4: $i] : (( ~
% 290.23/57.21 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) |
% 290.23/57.21 | (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) &
% 290.23/57.21 | c_Orderings_Oord__class_Oless__eq(v2, v4, v3))) &
% 290.23/57.21 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) |
% 290.23/57.21 | (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) & ~
% 290.23/57.21 | c_Orderings_Oord__class_Oless__eq(v2, v4, v3))))))
% 290.23/57.21 |
% 290.23/57.21 | ALPHA: (fact_csqrt) implies:
% 290.23/57.21 | (29) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 290.23/57.21 | (c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v0 &
% 290.23/57.21 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 290.23/57.21 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & $i(v3) &
% 290.23/57.21 | $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ( ~
% 290.23/57.21 | (c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt(v4) = v5) | ~
% 290.23/57.21 | $i(v4) | ? [v6: $i] : (hAPP(v6, v3) = v4 & hAPP(v0, v5) = v6 &
% 290.23/57.21 | $i(v6))))
% 290.23/57.21 |
% 290.23/57.21 | ALPHA: (fact_semiring__norm_I110_J) implies:
% 290.23/57.21 | (30) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 290.23/57.21 | ! [v2: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) |
% 290.23/57.21 | ~ $i(v1) | ~ class_Int_Onumber__ring(v1) |
% 290.23/57.21 | (c_Groups_Oone__class_Oone(v1) = v2 & $i(v2))))
% 290.23/57.21 |
% 290.23/57.21 | ALPHA: (fact_mult__numeral__1) implies:
% 290.23/57.21 | (31) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 290.23/57.21 | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] :
% 290.23/57.21 | (v6 = v1 | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~
% 290.23/57.21 | (c_Int_Onumber__class_Onumber__of(v2, v0) = v4) | ~ (hAPP(v5, v1)
% 290.23/57.21 | = v6) | ~ (hAPP(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~
% 290.23/57.21 | class_Int_Onumber__ring(v2)))
% 290.23/57.21 |
% 290.23/57.21 | ALPHA: (fact_mult__numeral__1__right) implies:
% 290.23/57.21 | (32) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 290.23/57.21 | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] :
% 290.23/57.21 | (v6 = v1 | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~
% 290.23/57.21 | (c_Int_Onumber__class_Onumber__of(v2, v0) = v5) | ~ (hAPP(v4, v5)
% 290.23/57.21 | = v6) | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 290.23/57.21 | class_Int_Onumber__ring(v2)))
% 290.23/57.21 |
% 290.23/57.21 | ALPHA: (fact_z) implies:
% 290.23/57.21 | (33) $i(v_y____)
% 290.23/57.21 |
% 290.23/57.21 | ALPHA: (fact_assms) implies:
% 290.23/57.21 | (34) ? [v0: $i] : (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 290.23/57.21 | v_z) = v0 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 290.23/57.21 | $i(v0))
% 290.23/57.21 |
% 290.23/57.21 | ALPHA: (fact_number__of__is__id) implies:
% 290.23/57.21 | (35) ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~
% 290.23/57.21 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v1) | ~
% 290.23/57.21 | $i(v0))
% 290.23/57.21 |
% 290.23/57.21 | ALPHA: (fact_less__eq__number__of__int__code) implies:
% 290.23/57.21 | (36) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 290.23/57.21 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v2) | ~
% 290.23/57.21 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v3) | ~ $i(v1)
% 290.23/57.21 | | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1,
% 290.23/57.21 | v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v3))
% 290.23/57.21 |
% 290.23/57.21 | ALPHA: (fact_real__add__mult__distrib) implies:
% 290.23/57.21 | (37) ? [v0: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 290.23/57.21 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 290.23/57.21 | [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~
% 290.23/57.21 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v7) = v8) | ~
% 290.23/57.21 | (hAPP(v6, v1) = v7) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v0, v3) =
% 290.23/57.21 | v4) | ~ (hAPP(v0, v2) = v6) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1)
% 290.23/57.21 | | ? [v9: $i] : ? [v10: $i] :
% 290.23/57.21 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v2) = v9 &
% 290.23/57.21 | hAPP(v10, v1) = v8 & hAPP(v0, v9) = v10 & $i(v10) & $i(v9) &
% 290.23/57.21 | $i(v8))))
% 290.23/57.21 |
% 290.23/57.21 | ALPHA: (fact_rel__simps_I20_J) implies:
% 290.23/57.21 | (38) ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls,
% 290.23/57.21 | c_Int_OMin)
% 290.23/57.21 |
% 290.23/57.21 | ALPHA: (fact_rel__simps_I23_J) implies:
% 290.23/57.21 | (39) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin, c_Int_OPls)
% 290.23/57.22 |
% 290.23/57.22 | ALPHA: (fact_add__special_I2_J) implies:
% 290.23/57.22 | (40) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 290.23/57.22 | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 290.23/57.22 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v1) = v3) | ~
% 290.23/57.22 | (c_Int_Onumber__class_Onumber__of(v2, v3) = v4) | ~ $i(v2) | ~
% 290.23/57.22 | $i(v1) | ~ class_Int_Onumber__ring(v2) | ? [v5: $i] : ? [v6:
% 290.23/57.22 | $i] : (c_Groups_Oplus__class_Oplus(v2, v5, v6) = v4 &
% 290.23/57.22 | c_Int_Onumber__class_Onumber__of(v2, v1) = v6 &
% 290.23/57.22 | c_Groups_Oone__class_Oone(v2) = v5 & $i(v6) & $i(v5) & $i(v4))))
% 290.23/57.22 |
% 290.23/57.22 | ALPHA: (fact_add__special_I3_J) implies:
% 290.23/57.22 | (41) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 290.23/57.22 | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 290.23/57.22 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v3) | ~
% 290.23/57.22 | (c_Int_Onumber__class_Onumber__of(v2, v3) = v4) | ~ $i(v2) | ~
% 290.23/57.22 | $i(v1) | ~ class_Int_Onumber__ring(v2) | ? [v5: $i] : ? [v6:
% 290.23/57.22 | $i] : (c_Groups_Oplus__class_Oplus(v2, v5, v6) = v4 &
% 290.23/57.22 | c_Int_Onumber__class_Onumber__of(v2, v1) = v5 &
% 290.23/57.22 | c_Groups_Oone__class_Oone(v2) = v6 & $i(v6) & $i(v5) & $i(v4))))
% 290.23/57.22 |
% 290.23/57.22 | ALPHA: (fact_power__one__right) implies:
% 290.23/57.22 | (42) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v0) &
% 290.23/57.22 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 290.23/57.22 | (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v3, v1) = v4) |
% 290.23/57.22 | ~ $i(v2) | ~ $i(v1) | ~ class_Groups_Omonoid__mult(v2) |
% 290.23/57.22 | hAPP(v4, v0) = v1))
% 290.23/57.22 |
% 290.23/57.22 | ALPHA: (fact_mult__2__right) implies:
% 290.23/57.22 | (43) ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 290.23/57.22 | c_Int_OBit0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] :
% 290.23/57.22 | ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 290.23/57.22 | (c_Groups_Otimes__class_Otimes(v3) = v4) | ~
% 290.23/57.22 | (c_Int_Onumber__class_Onumber__of(v3, v1) = v6) | ~ (hAPP(v5, v6)
% 290.23/57.22 | = v7) | ~ (hAPP(v4, v2) = v5) | ~ $i(v3) | ~ $i(v2) | ~
% 290.23/57.22 | class_Int_Onumber__ring(v3) | (c_Groups_Oplus__class_Oplus(v3, v2,
% 290.23/57.22 | v2) = v7 & $i(v7))))
% 290.23/57.22 |
% 290.23/57.22 | ALPHA: (fact_mult__2) implies:
% 290.23/57.22 | (44) ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 290.23/57.22 | c_Int_OBit0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] :
% 290.23/57.22 | ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 290.23/57.22 | (c_Groups_Otimes__class_Otimes(v3) = v4) | ~
% 290.23/57.22 | (c_Int_Onumber__class_Onumber__of(v3, v1) = v5) | ~ (hAPP(v6, v2)
% 290.23/57.22 | = v7) | ~ (hAPP(v4, v5) = v6) | ~ $i(v3) | ~ $i(v2) | ~
% 290.23/57.22 | class_Int_Onumber__ring(v3) | (c_Groups_Oplus__class_Oplus(v3, v2,
% 290.23/57.22 | v2) = v7 & $i(v7))))
% 290.23/57.22 |
% 290.23/57.22 | ALPHA: (fact_one__add__one__is__two) implies:
% 290.23/57.22 | (45) ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 290.23/57.22 | c_Int_OBit0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] :
% 290.23/57.22 | ( ~ (c_Int_Onumber__class_Onumber__of(v2, v1) = v3) | ~ $i(v2) | ~
% 290.23/57.22 | class_Int_Onumber__ring(v2) | ? [v4: $i] :
% 290.23/57.22 | (c_Groups_Oplus__class_Oplus(v2, v4, v4) = v3 &
% 290.23/57.22 | c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) & $i(v3))))
% 290.23/57.22 |
% 290.23/57.22 | ALPHA: (fact_pos__zmult__eq__1__iff__lemma) implies:
% 290.23/57.22 | (46) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 290.23/57.22 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint) = v0 &
% 290.23/57.22 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OMin) = v2 &
% 290.23/57.22 | c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 & $i(v2) & $i(v1) &
% 290.23/57.22 | $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v4 = v2 | v4 =
% 290.23/57.22 | v1 | ~ (hAPP(v5, v3) = v1) | ~ (hAPP(v0, v4) = v5) | ~ $i(v4) |
% 290.23/57.22 | ~ $i(v3)))
% 290.23/57.22 |
% 290.23/57.22 | ALPHA: (fact_zmult__eq__1__iff) implies:
% 290.23/57.22 | (47) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 290.23/57.22 | (c_Groups_Otimes__class_Otimes(tc_Int_Oint) = v0 &
% 290.23/57.22 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OMin) = v2 &
% 290.23/57.22 | c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 & $i(v2) & $i(v1) &
% 290.23/57.22 | $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v4 = v2 | v4 =
% 290.23/57.22 | v1 | ~ (hAPP(v5, v3) = v1) | ~ (hAPP(v0, v4) = v5) | ~ $i(v4) |
% 290.23/57.22 | ~ $i(v3)) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v4 = v2 |
% 290.23/57.22 | v3 = v1 | ~ (hAPP(v5, v3) = v1) | ~ (hAPP(v0, v4) = v5) | ~
% 290.23/57.22 | $i(v4) | ~ $i(v3)) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] :
% 290.23/57.22 | (v4 = v1 | v3 = v2 | ~ (hAPP(v5, v3) = v1) | ~ (hAPP(v0, v4) = v5)
% 290.23/57.22 | | ~ $i(v4) | ~ $i(v3)) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i]
% 290.23/57.22 | : (v3 = v2 | v3 = v1 | ~ (hAPP(v5, v3) = v1) | ~ (hAPP(v0, v4) =
% 290.23/57.22 | v5) | ~ $i(v4) | ~ $i(v3)) & ! [v3: $i] : ! [v4: $i] : (v4 =
% 290.23/57.22 | v1 | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(v0, v2) = v3)) & ! [v3:
% 290.23/57.22 | $i] : ! [v4: $i] : (v4 = v1 | ~ (hAPP(v3, v1) = v4) | ~
% 290.23/57.22 | (hAPP(v0, v1) = v3)))
% 290.23/57.22 |
% 290.23/57.22 | ALPHA: (fact_power2__sum) implies:
% 290.23/57.22 | (48) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 290.23/57.22 | v0 & c_Int_OBit0(v0) = v1 &
% 290.23/57.22 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 290.23/57.22 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 290.23/57.22 | $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : !
% 290.23/57.22 | [v11: $i] : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15:
% 290.23/57.22 | $i] : ! [v16: $i] : ! [v17: $i] : ! [v18: $i] : ( ~
% 290.23/57.22 | (c_Groups_Oplus__class_Oplus(v5, v11, v17) = v18) | ~
% 290.23/57.22 | (c_Groups_Oplus__class_Oplus(v5, v8, v10) = v11) | ~
% 290.23/57.22 | (c_Power_Opower__class_Opower(v5) = v6) | ~
% 290.23/57.22 | (c_Groups_Otimes__class_Otimes(v5) = v12) | ~
% 290.23/57.22 | (c_Int_Onumber__class_Onumber__of(v5, v1) = v13) | ~ (hAPP(v16,
% 290.23/57.22 | v3) = v17) | ~ (hAPP(v14, v4) = v15) | ~ (hAPP(v12, v15) =
% 290.23/57.22 | v16) | ~ (hAPP(v12, v13) = v14) | ~ (hAPP(v9, v2) = v10) | ~
% 290.23/57.22 | (hAPP(v7, v2) = v8) | ~ (hAPP(v6, v4) = v7) | ~ (hAPP(v6, v3) =
% 290.23/57.22 | v9) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~
% 290.23/57.22 | class_Int_Onumber__ring(v5) | ? [v19: $i] : ? [v20: $i] :
% 290.23/57.22 | (c_Groups_Oplus__class_Oplus(v5, v4, v3) = v19 & hAPP(v20, v2) =
% 290.23/57.22 | v18 & hAPP(v6, v19) = v20 & $i(v20) & $i(v19) & $i(v18))))
% 290.23/57.22 |
% 290.23/57.22 | ALPHA: (fact_one__is__num__one) implies:
% 290.23/57.22 | (49) ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v1 &
% 290.23/57.22 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v0 &
% 290.23/57.22 | c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & $i(v1) & $i(v0))
% 290.23/57.22 |
% 290.23/57.22 | ALPHA: (fact_real__sum__squared__expand) implies:
% 290.23/57.22 | (50) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.23/57.22 | ? [v5: $i] : ? [v6: $i] :
% 290.23/57.22 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 &
% 290.23/57.22 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v4 &
% 290.23/57.22 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 290.23/57.22 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 &
% 290.23/57.22 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v5 &
% 290.23/57.22 | hAPP(v4, v5) = v6 & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 290.23/57.22 | $i(v1) & $i(v0) & ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10:
% 290.23/57.22 | $i] : ! [v11: $i] : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] :
% 290.23/57.22 | ! [v15: $i] : ! [v16: $i] : ! [v17: $i] : ( ~
% 290.23/57.22 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v13, v16) = v17) |
% 290.23/57.22 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v10, v12) = v13)
% 290.23/57.22 | | ~ (hAPP(v15, v7) = v16) | ~ (hAPP(v11, v3) = v12) | ~
% 290.23/57.22 | (hAPP(v9, v3) = v10) | ~ (hAPP(v6, v8) = v14) | ~ (hAPP(v4, v14)
% 290.23/57.22 | = v15) | ~ (hAPP(v0, v8) = v9) | ~ (hAPP(v0, v7) = v11) | ~
% 290.23/57.22 | $i(v8) | ~ $i(v7) | ? [v18: $i] : ? [v19: $i] :
% 290.23/57.22 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v8, v7) = v18 &
% 290.23/57.22 | hAPP(v19, v3) = v17 & hAPP(v0, v18) = v19 & $i(v19) & $i(v18) &
% 290.23/57.22 | $i(v17))))
% 290.23/57.22 |
% 290.23/57.22 | ALPHA: (fact_power__m1__odd) implies:
% 290.23/57.22 | (51) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.23/57.22 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 290.23/57.22 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 290.23/57.22 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & hAPP(v0,
% 290.23/57.22 | v3) = v4 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5:
% 290.23/57.22 | $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : !
% 290.23/57.22 | [v10: $i] : ! [v11: $i] : ! [v12: $i] : (v12 = v8 | ~
% 290.23/57.22 | (c_Nat_OSuc(v10) = v11) | ~ (c_Power_Opower__class_Opower(v6) =
% 290.23/57.22 | v7) | ~ (c_Int_Onumber__class_Onumber__of(v6, c_Int_OMin) = v8)
% 290.23/57.22 | | ~ (hAPP(v9, v11) = v12) | ~ (hAPP(v7, v8) = v9) | ~ (hAPP(v4,
% 290.23/57.22 | v5) = v10) | ~ $i(v6) | ~ $i(v5) | ~
% 290.23/57.22 | class_Int_Onumber__ring(v6)))
% 290.23/57.22 |
% 290.23/57.22 | ALPHA: (fact_power2__diff) implies:
% 290.23/57.22 | (52) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 290.23/57.22 | v0 & c_Int_OBit0(v0) = v1 &
% 290.23/57.22 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 290.23/57.22 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 290.23/57.22 | $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : !
% 290.23/57.22 | [v11: $i] : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15:
% 290.23/57.22 | $i] : ! [v16: $i] : ! [v17: $i] : ! [v18: $i] : ( ~
% 290.23/57.22 | (c_Groups_Ominus__class_Ominus(v5, v11, v17) = v18) | ~
% 290.23/57.22 | (c_Groups_Oplus__class_Oplus(v5, v8, v10) = v11) | ~
% 290.23/57.22 | (c_Power_Opower__class_Opower(v5) = v6) | ~
% 290.23/57.22 | (c_Groups_Otimes__class_Otimes(v5) = v12) | ~
% 290.23/57.22 | (c_Int_Onumber__class_Onumber__of(v5, v1) = v13) | ~ (hAPP(v16,
% 290.23/57.22 | v3) = v17) | ~ (hAPP(v14, v4) = v15) | ~ (hAPP(v12, v15) =
% 290.23/57.22 | v16) | ~ (hAPP(v12, v13) = v14) | ~ (hAPP(v9, v2) = v10) | ~
% 290.23/57.22 | (hAPP(v7, v2) = v8) | ~ (hAPP(v6, v4) = v7) | ~ (hAPP(v6, v3) =
% 290.23/57.22 | v9) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~
% 290.23/57.22 | class_Int_Onumber__ring(v5) | ? [v19: $i] : ? [v20: $i] :
% 290.23/57.22 | (c_Groups_Ominus__class_Ominus(v5, v4, v3) = v19 & hAPP(v20, v2) =
% 290.23/57.22 | v18 & hAPP(v6, v19) = v20 & $i(v20) & $i(v19) & $i(v18))))
% 290.23/57.22 |
% 290.23/57.22 | ALPHA: (fact_zero__le__even__power_H) implies:
% 290.23/57.22 | (53) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.23/57.22 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 290.23/57.22 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 290.23/57.22 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & hAPP(v0,
% 290.23/57.22 | v3) = v4 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5:
% 290.23/57.22 | $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : !
% 290.23/57.22 | [v10: $i] : ! [v11: $i] : ( ~ (c_Power_Opower__class_Opower(v7) =
% 290.23/57.22 | v8) | ~ (hAPP(v9, v10) = v11) | ~ (hAPP(v8, v6) = v9) | ~
% 290.23/57.22 | (hAPP(v4, v5) = v10) | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~
% 290.23/57.22 | class_Rings_Olinordered__idom(v7) | ? [v12: $i] :
% 290.23/57.22 | (c_Groups_Ozero__class_Ozero(v7) = v12 & $i(v12) &
% 290.23/57.22 | c_Orderings_Oord__class_Oless__eq(v7, v12, v11))))
% 290.23/57.22 |
% 290.23/57.22 | ALPHA: (fact_real__sqrt__ge__abs1) implies:
% 290.23/57.22 | (54) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 290.23/57.22 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 &
% 290.23/57.22 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 290.23/57.22 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & $i(v3) &
% 290.23/57.22 | $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] :
% 290.23/57.22 | ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ( ~
% 290.23/57.22 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v7, v9) = v10) | ~
% 290.23/57.22 | (hAPP(v8, v3) = v9) | ~ (hAPP(v6, v3) = v7) | ~ (hAPP(v0, v5) =
% 290.23/57.22 | v6) | ~ (hAPP(v0, v4) = v8) | ~ $i(v5) | ~ $i(v4) | ? [v11:
% 290.23/57.22 | $i] : ? [v12: $i] : (c_NthRoot_Osqrt(v10) = v12 &
% 290.23/57.22 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v5) = v11 & $i(v12)
% 290.23/57.22 | & $i(v11) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 290.23/57.22 | v11, v12))))
% 290.23/57.22 |
% 290.23/57.22 | ALPHA: (fact_real__sqrt__ge__abs2) implies:
% 290.23/57.22 | (55) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 290.23/57.22 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 &
% 290.23/57.22 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 290.23/57.22 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & $i(v3) &
% 290.23/57.22 | $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] :
% 290.23/57.22 | ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ( ~
% 290.23/57.22 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v7, v9) = v10) | ~
% 290.23/57.22 | (hAPP(v8, v3) = v9) | ~ (hAPP(v6, v3) = v7) | ~ (hAPP(v0, v5) =
% 290.23/57.22 | v8) | ~ (hAPP(v0, v4) = v6) | ~ $i(v5) | ~ $i(v4) | ? [v11:
% 290.23/57.22 | $i] : ? [v12: $i] : (c_NthRoot_Osqrt(v10) = v12 &
% 290.23/57.22 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v5) = v11 & $i(v12)
% 290.23/57.22 | & $i(v11) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 290.23/57.22 | v11, v12))))
% 290.23/57.22 |
% 290.23/57.22 | ALPHA: (fact_sum__power2__ge__zero) implies:
% 290.23/57.22 | (56) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 290.23/57.22 | v0 & c_Int_OBit0(v0) = v1 &
% 290.23/57.22 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 290.23/57.22 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 290.23/57.22 | $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : !
% 290.23/57.22 | [v11: $i] : ( ~ (c_Groups_Oplus__class_Oplus(v5, v8, v10) = v11) |
% 290.23/57.22 | ~ (c_Power_Opower__class_Opower(v5) = v6) | ~ (hAPP(v9, v2) =
% 290.23/57.22 | v10) | ~ (hAPP(v7, v2) = v8) | ~ (hAPP(v6, v4) = v7) | ~
% 290.23/57.22 | (hAPP(v6, v3) = v9) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~
% 290.23/57.22 | class_Rings_Olinordered__idom(v5) | ? [v12: $i] :
% 290.23/57.22 | (c_Groups_Ozero__class_Ozero(v5) = v12 & $i(v12) &
% 290.23/57.22 | c_Orderings_Oord__class_Oless__eq(v5, v12, v11))))
% 290.23/57.22 |
% 290.23/57.22 | ALPHA: (fact_C_I2_J) implies:
% 290.23/57.22 | (57) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 290.23/57.22 | (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v_z, v1) = v2 &
% 290.23/57.22 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3 &
% 290.23/57.22 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v1 &
% 290.23/57.22 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v3) & $i(v2) &
% 290.23/57.22 | $i(v1) & $i(v0) &
% 290.23/57.22 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3))
% 290.23/57.22 |
% 290.23/57.22 | ALPHA: (fact_C_I1_J) implies:
% 290.23/57.22 | (58) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 290.23/57.22 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3 &
% 290.23/57.22 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_z, v1) = v2 &
% 290.23/57.22 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v1 &
% 290.23/57.22 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v3) & $i(v2) &
% 290.23/57.22 | $i(v1) & $i(v0) &
% 290.23/57.22 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3))
% 290.23/57.22 |
% 290.23/57.22 | ALPHA: (fact_C_I4_J) implies:
% 290.23/57.22 | (59) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 290.23/57.22 | (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v_z,
% 290.23/57.22 | c_Complex_Oii) = v1 &
% 290.23/57.22 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v2 &
% 290.23/57.22 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v2) & $i(v1) &
% 290.23/57.22 | $i(v0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 290.23/57.22 | v2))
% 290.23/57.22 |
% 290.23/57.22 | ALPHA: (fact_C_I3_J) implies:
% 290.23/57.23 | (60) $i(v_z)
% 290.23/57.23 | (61) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 290.23/57.23 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v2 &
% 290.23/57.23 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_z, c_Complex_Oii)
% 290.23/57.23 | = v1 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v2) &
% 290.23/57.23 | $i(v1) & $i(v0) &
% 290.23/57.23 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2))
% 290.23/57.23 |
% 290.23/57.23 | ALPHA: (fact_int__0__neq__1) implies:
% 290.23/57.23 | (62) ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) &
% 290.23/57.23 | c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 &
% 290.23/57.23 | c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 & $i(v1) & $i(v0))
% 290.23/57.23 |
% 290.23/57.23 | ALPHA: (fact_odd__nonzero) implies:
% 290.23/57.23 | (63) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 290.23/57.23 | = v1 & c_Groups_Oone__class_Oone(tc_Int_Oint) = v0 & $i(v1) & $i(v0)
% 290.23/57.23 | & ! [v2: $i] : ! [v3: $i] : ( ~
% 290.23/57.23 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v3, v2) = v1) | ~
% 290.23/57.23 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v2) = v3) | ~
% 290.23/57.23 | $i(v2)))
% 290.23/57.23 |
% 290.23/57.23 | ALPHA: (fact_add__eq__if) implies:
% 290.23/57.23 | (64) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 290.23/57.23 | = v0 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v1) & $i(v0)
% 290.23/57.23 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v3 = v0 |
% 290.23/57.23 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v1) = v4) | ~
% 290.23/57.23 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v4, v2) = v5) | ~
% 290.23/57.23 | $i(v3) | ~ $i(v2) | ? [v6: $i] : (c_Nat_OSuc(v5) = v6 &
% 290.23/57.23 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v2) = v6 & $i(v6)))
% 290.23/57.23 | & ! [v2: $i] : ! [v3: $i] : (v3 = v2 | ~
% 290.23/57.23 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v2) = v3) | ~
% 290.23/57.23 | $i(v2)))
% 290.23/57.23 |
% 290.23/57.23 | ALPHA: (fact_power__Suc__0) implies:
% 290.23/57.23 | (65) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 290.23/57.23 | (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 & c_Nat_OSuc(v1) = v2 &
% 290.23/57.23 | c_Power_Opower__class_Opower(tc_Nat_Onat) = v0 & hAPP(v0, v2) = v3 &
% 290.23/57.23 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : (v5
% 290.23/57.23 | = v2 | ~ (hAPP(v3, v4) = v5) | ~ $i(v4)))
% 290.23/57.23 |
% 290.23/57.23 | ALPHA: (fact_nat__power__eq__Suc__0__iff) implies:
% 290.23/57.23 | (66) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 290.23/57.23 | (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 & c_Nat_OSuc(v1) = v2 &
% 290.23/57.23 | c_Power_Opower__class_Opower(tc_Nat_Onat) = v0 & $i(v2) & $i(v1) &
% 290.23/57.23 | $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 = v2 | ~
% 290.23/57.23 | (hAPP(v4, v3) = v5) | ~ (hAPP(v0, v2) = v4) | ~ $i(v3)) & !
% 290.23/57.23 | [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 = v2 | ~ (hAPP(v4, v1) =
% 290.23/57.23 | v5) | ~ (hAPP(v0, v3) = v4) | ~ $i(v3)) & ! [v3: $i] : !
% 290.23/57.23 | [v4: $i] : ! [v5: $i] : (v4 = v2 | v3 = v1 | ~ (hAPP(v5, v3) = v2)
% 290.23/57.23 | | ~ (hAPP(v0, v4) = v5) | ~ $i(v4) | ~ $i(v3)))
% 290.23/57.23 |
% 290.23/57.23 | ALPHA: (fact_power_Opower_Opower__0) implies:
% 290.23/57.23 | (67) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 290.23/57.23 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 290.23/57.23 | $i] : ! [v6: $i] : ( ~ (c_Power_Opower_Opower(v4, v3, v2) = v5) |
% 290.23/57.23 | ~ (hAPP(v5, v1) = v6) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 290.23/57.23 | $i(v1) | hAPP(v6, v0) = v3))
% 290.23/57.23 |
% 290.23/57.23 | ALPHA: (fact_Complex__eq__0) implies:
% 290.23/57.23 | (68) ? [v0: $i] : ? [v1: $i] :
% 290.23/57.23 | (c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0 &
% 290.23/57.23 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0)
% 290.23/57.23 | & ! [v2: $i] : ! [v3: $i] : (v3 = v1 | ~
% 290.23/57.23 | (c_Complex_Ocomplex_OComplex(v3, v2) = v0) | ~ $i(v3) | ~
% 290.23/57.23 | $i(v2)) & ! [v2: $i] : ! [v3: $i] : (v2 = v1 | ~
% 290.23/57.23 | (c_Complex_Ocomplex_OComplex(v3, v2) = v0) | ~ $i(v3) | ~
% 290.23/57.23 | $i(v2)) & ! [v2: $i] : (v2 = v0 | ~
% 290.23/57.23 | (c_Complex_Ocomplex_OComplex(v1, v1) = v2)))
% 290.23/57.23 |
% 290.23/57.23 | ALPHA: (fact_zadd__0__right) implies:
% 290.23/57.23 | (69) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 290.23/57.23 | & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~
% 290.23/57.23 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~
% 290.23/57.23 | $i(v1)))
% 290.23/57.23 |
% 290.23/57.23 | ALPHA: (fact_zadd__0) implies:
% 290.23/57.23 | (70) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 290.23/57.23 | & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~
% 290.23/57.23 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v1) = v2) | ~
% 290.23/57.23 | $i(v1)))
% 290.23/57.23 |
% 290.23/57.23 | ALPHA: (fact_complex__zero__def) implies:
% 290.23/57.23 | (71) ? [v0: $i] : ? [v1: $i] :
% 290.23/57.23 | (c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0 &
% 290.23/57.23 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 290.23/57.23 | c_Complex_Ocomplex_OComplex(v1, v1) = v0 & $i(v1) & $i(v0))
% 290.23/57.23 |
% 290.23/57.23 | ALPHA: (fact_real__sqrt__eq__0__iff) implies:
% 290.23/57.23 | (72) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.23/57.23 | $i(v0) & ! [v1: $i] : (v1 = v0 | ~ (c_NthRoot_Osqrt(v1) = v0) | ~
% 290.23/57.23 | $i(v1)) & ! [v1: $i] : (v1 = v0 | ~ (c_NthRoot_Osqrt(v0) = v1)))
% 290.23/57.23 |
% 290.23/57.23 | ALPHA: (fact_real__sqrt__zero) implies:
% 290.23/57.23 | (73) ? [v0: $i] : (c_NthRoot_Osqrt(v0) = v0 &
% 290.23/57.23 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0))
% 290.23/57.23 |
% 290.23/57.23 | ALPHA: (fact_real__sqrt__ge__0__iff) implies:
% 290.23/57.23 | (74) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.23/57.23 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (c_NthRoot_Osqrt(v1) = v2)
% 290.23/57.23 | | ~ $i(v1) | ~
% 290.23/57.23 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) |
% 290.23/57.23 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1)) & !
% 290.23/57.23 | [v1: $i] : ! [v2: $i] : ( ~ (c_NthRoot_Osqrt(v1) = v2) | ~ $i(v1)
% 290.23/57.23 | | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1) |
% 290.23/57.23 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2)))
% 290.23/57.23 |
% 290.23/57.23 | ALPHA: (fact_real__sqrt__le__0__iff) implies:
% 290.23/57.23 | (75) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.23/57.23 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (c_NthRoot_Osqrt(v1) = v2)
% 290.23/57.23 | | ~ $i(v1) | ~
% 290.23/57.23 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0) |
% 290.23/57.23 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0)) & !
% 290.23/57.23 | [v1: $i] : ! [v2: $i] : ( ~ (c_NthRoot_Osqrt(v1) = v2) | ~ $i(v1)
% 290.23/57.23 | | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) |
% 290.23/57.23 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0)))
% 290.23/57.23 |
% 290.23/57.23 | ALPHA: (fact_real__sqrt__ge__zero) implies:
% 290.23/57.23 | (76) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.23/57.23 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (c_NthRoot_Osqrt(v1) = v2)
% 290.23/57.23 | | ~ $i(v1) | ~
% 290.23/57.23 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1) |
% 290.23/57.23 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2)))
% 290.23/57.23 |
% 290.23/57.23 | ALPHA: (fact_real__sqrt__eq__zero__cancel) implies:
% 290.23/57.23 | (77) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.23/57.23 | $i(v0) & ! [v1: $i] : (v1 = v0 | ~ (c_NthRoot_Osqrt(v1) = v0) | ~
% 290.23/57.23 | $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 290.23/57.23 | v0, v1)))
% 290.23/57.23 |
% 290.23/57.23 | ALPHA: (fact_real__le__eq__diff) implies:
% 290.23/57.23 | (78) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.23/57.23 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 290.23/57.23 | (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v2, v1) = v3) |
% 290.23/57.23 | ~ $i(v2) | ~ $i(v1) | ~
% 290.23/57.23 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0) |
% 290.23/57.23 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1)) & !
% 290.23/57.23 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 290.23/57.23 | (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v2, v1) = v3) |
% 290.23/57.23 | ~ $i(v2) | ~ $i(v1) | ~
% 290.23/57.23 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1) |
% 290.23/57.23 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0)))
% 290.23/57.23 |
% 290.23/57.23 | ALPHA: (fact_diff__Suc__eq__diff__pred) implies:
% 290.23/57.23 | (79) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v0) &
% 290.23/57.23 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 290.23/57.23 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v1) = v4) | ~
% 290.23/57.23 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v0) = v3) | ~
% 290.23/57.23 | $i(v2) | ~ $i(v1) | ? [v5: $i] :
% 290.23/57.23 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v5) = v4 &
% 290.23/57.23 | c_Nat_OSuc(v1) = v5 & $i(v5) & $i(v4))))
% 290.23/57.23 |
% 290.23/57.23 | ALPHA: (fact_Suc__eq__plus1) implies:
% 290.23/57.23 | (80) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v0) &
% 290.23/57.23 | ! [v1: $i] : ! [v2: $i] : ( ~
% 290.23/57.23 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ~
% 290.23/57.23 | $i(v1) | (c_Nat_OSuc(v1) = v2 & $i(v2))))
% 290.23/57.23 |
% 290.23/57.23 | ALPHA: (fact_Suc__eq__plus1__left) implies:
% 290.23/57.23 | (81) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v0) &
% 290.23/57.23 | ! [v1: $i] : ! [v2: $i] : ( ~
% 290.23/57.23 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v2) | ~
% 290.23/57.23 | $i(v1) | (c_Nat_OSuc(v1) = v2 & $i(v2))))
% 290.23/57.23 |
% 290.23/57.23 | ALPHA: (fact_nat__one__le__power) implies:
% 290.23/57.23 | (82) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 290.23/57.23 | (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & c_Nat_OSuc(v0) = v1 &
% 290.23/57.23 | c_Power_Opower__class_Opower(tc_Nat_Onat) = v2 & $i(v2) & $i(v1) &
% 290.23/57.23 | $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 290.23/57.23 | (hAPP(v5, v3) = v6) | ~ (hAPP(v2, v4) = v5) | ~ $i(v4) | ~
% 290.23/57.23 | $i(v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v4)
% 290.23/57.23 | | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v6)))
% 290.23/57.23 |
% 290.23/57.23 | ALPHA: (fact_power__eq__0__iff) implies:
% 290.23/57.23 | (83) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 290.23/57.23 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 290.23/57.23 | $i] : ! [v6: $i] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) |
% 290.23/57.23 | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ $i(v3) | ~
% 290.23/57.23 | $i(v2) | ~ $i(v1) | ~ class_Rings_Ozero__neq__one(v3) | ~
% 290.23/57.23 | class_Rings_Ono__zero__divisors(v3) | ~
% 290.23/57.23 | class_Rings_Omult__zero(v3) | ~ class_Power_Opower(v3) | ? [v7:
% 290.23/57.23 | $i] : (c_Groups_Ozero__class_Ozero(v3) = v7 & $i(v7) & ( ~ (v7 =
% 290.23/57.23 | v6) | (v6 = v2 & ~ (v1 = v0))) & ( ~ (v7 = v2) | v6 = v2 |
% 290.23/57.23 | v1 = v0))))
% 290.23/57.23 |
% 290.23/57.23 | ALPHA: (fact_mult__eq__if) implies:
% 290.23/57.23 | (84) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 290.23/57.23 | (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 &
% 290.23/57.23 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v1 &
% 290.23/57.23 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v2 & $i(v2) & $i(v1) &
% 290.23/57.23 | $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 290.23/57.23 | [v7: $i] : ! [v8: $i] : (v4 = v0 | ~
% 290.23/57.23 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v4, v2) = v5) | ~
% 290.23/57.23 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v7) = v8) | ~
% 290.23/57.23 | (hAPP(v6, v3) = v7) | ~ (hAPP(v1, v5) = v6) | ~ $i(v4) | ~
% 290.23/57.23 | $i(v3) | ? [v9: $i] : (hAPP(v9, v3) = v8 & hAPP(v1, v4) = v9 &
% 290.23/57.23 | $i(v9) & $i(v8))) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] :
% 290.23/57.23 | (v5 = v0 | ~ (hAPP(v4, v3) = v5) | ~ (hAPP(v1, v0) = v4) | ~
% 290.23/57.23 | $i(v3)))
% 290.23/57.23 |
% 290.23/57.23 | ALPHA: (fact_realpow__two__diff) implies:
% 290.23/57.23 | (85) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 290.23/57.23 | (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & c_Nat_OSuc(v1) = v2 &
% 290.23/57.23 | c_Nat_OSuc(v0) = v1 & $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : !
% 290.23/57.23 | [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] :
% 290.23/57.23 | ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~
% 290.23/57.23 | (c_Groups_Ominus__class_Ominus(v5, v8, v10) = v11) | ~
% 290.23/57.23 | (c_Power_Opower__class_Opower(v5) = v6) | ~ (hAPP(v9, v2) = v10)
% 290.23/57.23 | | ~ (hAPP(v7, v2) = v8) | ~ (hAPP(v6, v4) = v7) | ~ (hAPP(v6,
% 290.23/57.23 | v3) = v9) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~
% 290.23/57.23 | class_Rings_Ocomm__ring__1(v5) | ? [v12: $i] : ? [v13: $i] : ?
% 290.23/57.23 | [v14: $i] : ? [v15: $i] : (c_Groups_Ominus__class_Ominus(v5, v4,
% 290.23/57.23 | v3) = v13 & c_Groups_Oplus__class_Oplus(v5, v4, v3) = v15 &
% 290.23/57.23 | c_Groups_Otimes__class_Otimes(v5) = v12 & hAPP(v14, v15) = v11 &
% 290.23/57.23 | hAPP(v12, v13) = v14 & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 290.23/57.23 | $i(v11))))
% 290.23/57.23 |
% 290.23/57.23 | ALPHA: (fact_power__0__left) implies:
% 290.23/57.23 | (86) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 290.23/57.23 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 290.23/57.23 | $i] : ! [v6: $i] : (v6 = v4 | v1 = v0 | ~
% 290.23/57.23 | (c_Groups_Ozero__class_Ozero(v2) = v4) | ~
% 290.23/57.23 | (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v5, v1) = v6) |
% 290.23/57.23 | ~ (hAPP(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~
% 290.23/57.23 | class_Rings_Osemiring__0(v2) | ~ class_Power_Opower(v2)) & !
% 290.23/57.23 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (
% 290.23/57.23 | ~ (c_Groups_Ozero__class_Ozero(v1) = v3) | ~
% 290.23/57.23 | (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v4, v0) = v5) |
% 290.23/57.23 | ~ (hAPP(v2, v3) = v4) | ~ $i(v1) | ~
% 290.23/57.23 | class_Rings_Osemiring__0(v1) | ~ class_Power_Opower(v1) |
% 290.23/57.23 | (c_Groups_Oone__class_Oone(v1) = v5 & $i(v5))))
% 290.23/57.23 |
% 290.23/57.23 | ALPHA: (fact_power__eq__if) implies:
% 290.23/57.23 | (87) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 290.23/57.23 | (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 &
% 290.23/57.23 | c_Power_Opower__class_Opower(tc_Nat_Onat) = v1 &
% 290.23/57.23 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v3 &
% 290.23/57.23 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v2 & $i(v3) & $i(v2) &
% 290.23/57.23 | $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 290.23/57.23 | $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : (v5 = v0 | ~
% 290.23/57.23 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v5, v2) = v8) | ~
% 290.23/57.23 | (hAPP(v7, v9) = v10) | ~ (hAPP(v6, v8) = v9) | ~ (hAPP(v3, v4) =
% 290.23/57.23 | v7) | ~ (hAPP(v1, v4) = v6) | ~ $i(v5) | ~ $i(v4) | (hAPP(v6,
% 290.23/57.23 | v5) = v10 & $i(v10))) & ! [v4: $i] : ! [v5: $i] : ! [v6:
% 290.23/57.23 | $i] : (v6 = v2 | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v1, v4) = v5) |
% 290.23/57.23 | ~ $i(v4)))
% 290.23/57.23 |
% 290.23/57.23 | ALPHA: (fact_real__sqrt__mult) implies:
% 290.23/57.23 | (88) ? [v0: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 290.23/57.23 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 290.23/57.23 | [v5: $i] : ! [v6: $i] : ( ~ (c_NthRoot_Osqrt(v2) = v3) | ~
% 290.23/57.23 | (c_NthRoot_Osqrt(v1) = v5) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(v0,
% 290.23/57.23 | v3) = v4) | ~ $i(v2) | ~ $i(v1) | ? [v7: $i] : ? [v8: $i]
% 290.23/57.23 | : (c_NthRoot_Osqrt(v8) = v6 & hAPP(v7, v1) = v8 & hAPP(v0, v2) =
% 290.23/57.23 | v7 & $i(v8) & $i(v7) & $i(v6))))
% 290.23/57.23 |
% 290.23/57.23 | ALPHA: (fact_real__sqrt__power) implies:
% 290.23/57.23 | (89) ? [v0: $i] : (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 &
% 290.23/57.23 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 290.23/57.23 | [v5: $i] : ( ~ (c_NthRoot_Osqrt(v2) = v3) | ~ (hAPP(v4, v1) = v5) |
% 290.23/57.23 | ~ (hAPP(v0, v3) = v4) | ~ $i(v2) | ~ $i(v1) | ? [v6: $i] : ?
% 290.23/57.23 | [v7: $i] : (c_NthRoot_Osqrt(v7) = v5 & hAPP(v6, v1) = v7 &
% 290.23/57.23 | hAPP(v0, v2) = v6 & $i(v7) & $i(v6) & $i(v5))))
% 290.23/57.23 |
% 290.23/57.23 | ALPHA: (fact_real__sqrt__eq__1__iff) implies:
% 290.23/57.23 | (90) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 290.23/57.23 | $i(v0) & ! [v1: $i] : (v1 = v0 | ~ (c_NthRoot_Osqrt(v1) = v0) | ~
% 290.23/57.23 | $i(v1)) & ! [v1: $i] : (v1 = v0 | ~ (c_NthRoot_Osqrt(v0) = v1)))
% 290.23/57.23 |
% 290.23/57.23 | ALPHA: (fact_real__sqrt__one) implies:
% 290.23/57.24 | (91) ? [v0: $i] : (c_NthRoot_Osqrt(v0) = v0 &
% 290.23/57.24 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0))
% 290.23/57.24 |
% 290.23/57.24 | ALPHA: (fact_Pls__def) implies:
% 290.23/57.24 | (92) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Int_OPls
% 290.23/57.24 |
% 290.23/57.24 | ALPHA: (fact_zero__le__zpower__abs) implies:
% 290.23/57.24 | (93) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 290.23/57.24 | = v0 & c_Power_Opower__class_Opower(tc_Int_Oint) = v1 & $i(v1) &
% 290.23/57.24 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 290.23/57.24 | [v6: $i] : ( ~ (c_Groups_Oabs__class_Oabs(tc_Int_Oint, v3) = v4) |
% 290.23/57.24 | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v1, v4) = v5) | ~ $i(v3) | ~
% 290.23/57.24 | $i(v2) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v6)))
% 290.23/57.24 |
% 290.23/57.24 | ALPHA: (fact_real__mult__left__cancel) implies:
% 290.23/57.24 | (94) ? [v0: $i] : ? [v1: $i] :
% 290.23/57.24 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.23/57.24 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 & $i(v1) &
% 290.23/57.24 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 290.23/57.24 | [v6: $i] : (v4 = v0 | v3 = v2 | ~ (hAPP(v5, v3) = v6) | ~
% 290.23/57.24 | (hAPP(v5, v2) = v6) | ~ (hAPP(v1, v4) = v5) | ~ $i(v4) | ~
% 290.23/57.24 | $i(v3) | ~ $i(v2)))
% 290.23/57.24 |
% 290.23/57.24 | ALPHA: (fact_real__mult__right__cancel) implies:
% 290.23/57.24 | (95) ? [v0: $i] : ? [v1: $i] :
% 290.23/57.24 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.23/57.24 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 & $i(v1) &
% 290.23/57.24 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 290.23/57.24 | [v6: $i] : ! [v7: $i] : (v4 = v0 | v3 = v2 | ~ (hAPP(v7, v4) = v6)
% 290.23/57.24 | | ~ (hAPP(v5, v4) = v6) | ~ (hAPP(v1, v3) = v5) | ~ (hAPP(v1,
% 290.23/57.24 | v2) = v7) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2)))
% 290.23/57.24 |
% 290.23/57.24 | ALPHA: (fact_real__zero__not__eq__one) implies:
% 290.23/57.24 | (96) ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) &
% 290.23/57.24 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.23/57.24 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0))
% 290.23/57.24 |
% 290.23/57.24 | ALPHA: (fact_Suc3__eq__add__3) implies:
% 290.23/57.24 | (97) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(v0) = v1 &
% 290.23/57.24 | c_Int_OBit1(c_Int_OPls) = v0 &
% 290.23/57.24 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 290.23/57.24 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~
% 290.23/57.24 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v3) = v4) | ~
% 290.23/57.24 | $i(v3) | ? [v5: $i] : ? [v6: $i] : (c_Nat_OSuc(v6) = v4 &
% 290.23/57.24 | c_Nat_OSuc(v5) = v6 & c_Nat_OSuc(v3) = v5 & $i(v6) & $i(v5) &
% 290.23/57.24 | $i(v4))))
% 290.23/57.24 |
% 290.23/57.24 | ALPHA: (fact_real__sqrt__mult__self__sum__ge__zero) implies:
% 290.23/57.24 | (98) ? [v0: $i] : ? [v1: $i] :
% 290.23/57.24 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.23/57.24 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 & $i(v1) &
% 290.23/57.24 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 290.23/57.24 | [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~
% 290.23/57.24 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v7) = v8) | ~
% 290.23/57.24 | (hAPP(v6, v2) = v7) | ~ (hAPP(v4, v3) = v5) | ~ (hAPP(v1, v3) =
% 290.23/57.24 | v4) | ~ (hAPP(v1, v2) = v6) | ~ $i(v3) | ~ $i(v2) | ? [v9:
% 290.23/57.24 | $i] : (c_NthRoot_Osqrt(v8) = v9 & $i(v9) &
% 290.23/57.24 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v9))))
% 290.23/57.24 |
% 290.23/57.24 | ALPHA: (fact_numeral__3__eq__3) implies:
% 290.23/57.24 | (99) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.23/57.24 | ? [v5: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v3 &
% 290.23/57.24 | c_Nat_OSuc(v5) = v2 & c_Nat_OSuc(v4) = v5 & c_Nat_OSuc(v3) = v4 &
% 290.23/57.24 | c_Int_OBit1(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v0 &
% 290.23/57.24 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v5) &
% 290.23/57.24 | $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 290.23/57.24 |
% 290.23/57.24 | ALPHA: (fact_numeral__1__eq__Suc__0) implies:
% 290.23/57.24 | (100) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 290.23/57.24 | (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v2 & c_Nat_OSuc(v2) = v1
% 290.23/57.24 | & c_Int_OBit1(c_Int_OPls) = v0 &
% 290.23/57.24 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v1 & $i(v2) &
% 290.23/57.24 | $i(v1) & $i(v0))
% 290.23/57.24 |
% 290.23/57.24 | ALPHA: (fact_Complex__eq__number__of) implies:
% 290.23/57.24 | (101) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.23/57.24 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 290.23/57.24 | (v4 = v3 | ~ (c_Complex_Ocomplex_OComplex(v2, v0) = v3) | ~
% 290.23/57.24 | (c_Int_Onumber__class_Onumber__of(tc_Complex_Ocomplex, v1) = v4)
% 290.23/57.24 | | ~ $i(v2) | ~ $i(v1) | ? [v5: $i] : ( ~ (v5 = v2) &
% 290.23/57.24 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v5 &
% 290.23/57.24 | $i(v5))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4:
% 290.23/57.24 | $i] : (v2 = v0 | ~ (c_Complex_Ocomplex_OComplex(v3, v2) = v4) |
% 290.23/57.24 | ~ (c_Int_Onumber__class_Onumber__of(tc_Complex_Ocomplex, v1) =
% 290.23/57.24 | v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1)) & ! [v1: $i] : !
% 290.23/57.24 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 290.23/57.24 | (c_Complex_Ocomplex_OComplex(v3, v2) = v4) | ~
% 290.23/57.24 | (c_Int_Onumber__class_Onumber__of(tc_Complex_Ocomplex, v1) = v4)
% 290.23/57.24 | | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) |
% 290.23/57.24 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v3))
% 290.23/57.24 |
% 290.23/57.24 | ALPHA: (fact_Complex__eq__1) implies:
% 290.23/57.24 | (102) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 290.23/57.24 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v2 &
% 290.23/57.24 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 &
% 290.23/57.24 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & $i(v2) & $i(v1)
% 290.23/57.24 | & $i(v0) & ! [v3: $i] : ! [v4: $i] : (v4 = v1 | ~
% 290.23/57.24 | (c_Complex_Ocomplex_OComplex(v4, v3) = v0) | ~ $i(v4) | ~
% 290.23/57.24 | $i(v3)) & ! [v3: $i] : ! [v4: $i] : (v3 = v2 | ~
% 290.23/57.24 | (c_Complex_Ocomplex_OComplex(v4, v3) = v0) | ~ $i(v4) | ~
% 290.23/57.24 | $i(v3)) & ! [v3: $i] : (v3 = v0 | ~
% 290.23/57.24 | (c_Complex_Ocomplex_OComplex(v1, v2) = v3)))
% 290.23/57.24 |
% 290.23/57.24 | ALPHA: (fact_complex__one__def) implies:
% 290.23/57.24 | (103) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 290.23/57.24 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v2 &
% 290.23/57.24 | c_Complex_Ocomplex_OComplex(v1, v2) = v0 &
% 290.23/57.24 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 &
% 290.23/57.24 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & $i(v2) & $i(v1)
% 290.23/57.24 | & $i(v0))
% 290.23/57.24 |
% 290.23/57.24 | ALPHA: (fact_add__2__eq__Suc) implies:
% 290.23/57.24 | (104) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 290.23/57.24 | v0 & c_Int_OBit0(v0) = v1 &
% 290.23/57.24 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 290.23/57.24 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~
% 290.23/57.24 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v3) = v4) | ~
% 290.23/57.24 | $i(v3) | ? [v5: $i] : (c_Nat_OSuc(v5) = v4 & c_Nat_OSuc(v3) = v5
% 290.23/57.24 | & $i(v5) & $i(v4))))
% 290.23/57.24 |
% 290.23/57.24 | ALPHA: (fact_add__2__eq__Suc_H) implies:
% 290.23/57.24 | (105) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 290.23/57.24 | v0 & c_Int_OBit0(v0) = v1 &
% 290.23/57.24 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 290.23/57.24 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~
% 290.23/57.24 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v2) = v4) | ~
% 290.23/57.24 | $i(v3) | ? [v5: $i] : (c_Nat_OSuc(v5) = v4 & c_Nat_OSuc(v3) = v5
% 290.23/57.24 | & $i(v5) & $i(v4))))
% 290.23/57.24 |
% 290.23/57.24 | ALPHA: (fact_real__sqrt__ge__one) implies:
% 290.23/57.24 | (106) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 290.23/57.24 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (c_NthRoot_Osqrt(v1) = v2)
% 290.23/57.24 | | ~ $i(v1) | ~
% 290.23/57.24 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1) |
% 290.23/57.24 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2)))
% 290.23/57.24 |
% 290.23/57.24 | ALPHA: (fact_real__sqrt__le__1__iff) implies:
% 290.23/57.24 | (107) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 290.23/57.24 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (c_NthRoot_Osqrt(v1) = v2)
% 290.23/57.24 | | ~ $i(v1) | ~
% 290.23/57.24 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0) |
% 290.23/57.24 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0)) & !
% 290.23/57.24 | [v1: $i] : ! [v2: $i] : ( ~ (c_NthRoot_Osqrt(v1) = v2) | ~ $i(v1)
% 290.23/57.24 | | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0)
% 290.23/57.24 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0)))
% 290.23/57.24 |
% 290.23/57.24 | ALPHA: (fact_real__sqrt__ge__1__iff) implies:
% 290.23/57.24 | (108) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 290.23/57.24 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (c_NthRoot_Osqrt(v1) = v2)
% 290.23/57.24 | | ~ $i(v1) | ~
% 290.23/57.24 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) |
% 290.23/57.24 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1)) & !
% 290.23/57.24 | [v1: $i] : ! [v2: $i] : ( ~ (c_NthRoot_Osqrt(v1) = v2) | ~ $i(v1)
% 290.23/57.24 | | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1)
% 290.23/57.24 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2)))
% 290.23/57.24 |
% 290.23/57.24 | ALPHA: (fact_real__sqrt__abs2) implies:
% 290.23/57.24 | (109) ? [v0: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 290.23/57.24 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (hAPP(v2,
% 290.23/57.24 | v1) = v3) | ~ (hAPP(v0, v1) = v2) | ~ $i(v1) | ? [v4: $i]
% 290.23/57.24 | : (c_NthRoot_Osqrt(v3) = v4 &
% 290.23/57.24 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1) = v4 &
% 290.23/57.24 | $i(v4))))
% 290.23/57.24 |
% 290.23/57.24 | ALPHA: (fact_numeral__2__eq__2) implies:
% 290.23/57.24 | (110) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.23/57.24 | (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v3 & c_Nat_OSuc(v4) = v2
% 290.23/57.24 | & c_Nat_OSuc(v3) = v4 & c_Int_OBit1(c_Int_OPls) = v0 &
% 290.23/57.24 | c_Int_OBit0(v0) = v1 &
% 290.23/57.24 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v4) &
% 290.23/57.24 | $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 290.23/57.24 |
% 290.23/57.24 | ALPHA: (fact_semiring__norm_I115_J) implies:
% 290.23/57.24 | (111) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.23/57.24 | (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & c_Nat_OSuc(v1) = v2
% 290.23/57.24 | & c_Nat_OSuc(v0) = v1 & c_Int_OBit1(c_Int_OPls) = v3 &
% 290.23/57.24 | c_Int_OBit0(v3) = v4 &
% 290.23/57.24 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v4) = v2 & $i(v4) &
% 290.23/57.24 | $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 290.23/57.24 |
% 290.23/57.24 | ALPHA: (fact_complex__mult) implies:
% 290.23/57.24 | (112) ? [v0: $i] : ? [v1: $i] :
% 290.23/57.24 | (c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v0 &
% 290.23/57.24 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 & $i(v1) &
% 290.23/57.24 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 290.23/57.24 | [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] :
% 290.23/57.24 | ! [v11: $i] : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ( ~
% 290.23/57.24 | (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v7, v9) = v10) |
% 290.23/57.24 | ~ (c_Complex_Ocomplex_OComplex(v10, v13) = v14) | ~
% 290.23/57.24 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v11, v12) = v13) |
% 290.23/57.24 | ~ (hAPP(v8, v3) = v12) | ~ (hAPP(v8, v2) = v9) | ~ (hAPP(v6,
% 290.23/57.24 | v3) = v7) | ~ (hAPP(v6, v2) = v11) | ~ (hAPP(v1, v5) = v6)
% 290.23/57.24 | | ~ (hAPP(v1, v4) = v8) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~
% 290.23/57.24 | $i(v2) | ? [v15: $i] : ? [v16: $i] : ? [v17: $i] :
% 290.23/57.24 | (c_Complex_Ocomplex_OComplex(v5, v4) = v15 &
% 290.23/57.24 | c_Complex_Ocomplex_OComplex(v3, v2) = v17 & hAPP(v16, v17) =
% 290.23/57.24 | v14 & hAPP(v0, v15) = v16 & $i(v17) & $i(v16) & $i(v15) &
% 290.23/57.24 | $i(v14))))
% 290.23/57.24 |
% 290.23/57.24 | ALPHA: (fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J)
% 290.23/57.24 | implies:
% 290.23/57.24 | (113) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 290.23/57.24 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 290.23/57.24 | (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v3, v1) = v4)
% 290.23/57.24 | | ~ $i(v2) | ~ $i(v1) | ~ class_Rings_Ocomm__semiring__1(v2) |
% 290.23/57.24 | ? [v5: $i] : (c_Groups_Oone__class_Oone(v2) = v5 & hAPP(v4, v0)
% 290.23/57.24 | = v5 & $i(v5))))
% 290.23/57.24 |
% 290.23/57.24 | ALPHA: (fact_power__0) implies:
% 290.23/57.24 | (114) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 290.23/57.24 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 290.23/57.24 | (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v3, v1) = v4)
% 290.23/57.24 | | ~ $i(v2) | ~ $i(v1) | ~ class_Power_Opower(v2) | ? [v5: $i]
% 290.23/57.24 | : (c_Groups_Oone__class_Oone(v2) = v5 & hAPP(v4, v0) = v5 &
% 290.23/57.24 | $i(v5))))
% 290.23/57.24 |
% 290.23/57.24 | ALPHA: (fact_semiring__norm_I113_J) implies:
% 290.23/57.24 | (115) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 &
% 290.23/57.24 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OPls) = v0 &
% 290.23/57.24 | $i(v0))
% 290.23/57.24 |
% 290.23/57.24 | ALPHA: (fact_zero__is__num__zero) implies:
% 290.23/57.24 | (116) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 &
% 290.23/57.24 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls) = v0 &
% 290.23/57.24 | $i(v0))
% 290.23/57.24 |
% 290.23/57.24 | ALPHA: (fact_real__two__squares__add__zero__iff) implies:
% 290.23/57.24 | (117) ? [v0: $i] : ? [v1: $i] :
% 290.23/57.24 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 290.23/57.24 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 & $i(v1) &
% 290.23/57.24 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 290.23/57.24 | [v6: $i] : ! [v7: $i] : (v3 = v1 | ~
% 290.23/57.24 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v7) = v1) | ~
% 290.23/57.24 | (hAPP(v6, v2) = v7) | ~ (hAPP(v4, v3) = v5) | ~ (hAPP(v0, v3) =
% 290.23/57.24 | v4) | ~ (hAPP(v0, v2) = v6) | ~ $i(v3) | ~ $i(v2)) & ! [v2:
% 290.23/57.24 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 290.23/57.24 | [v7: $i] : (v2 = v1 | ~
% 290.23/57.24 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v7) = v1) | ~
% 290.23/57.24 | (hAPP(v6, v2) = v7) | ~ (hAPP(v4, v3) = v5) | ~ (hAPP(v0, v3) =
% 290.23/57.24 | v4) | ~ (hAPP(v0, v2) = v6) | ~ $i(v3) | ~ $i(v2)) & ! [v2:
% 290.23/57.24 | $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v1 | ~
% 290.23/57.24 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v3) = v4) | ~
% 290.23/57.24 | (hAPP(v2, v1) = v3) | ~ (hAPP(v0, v1) = v2)))
% 290.23/57.24 |
% 290.23/57.24 | ALPHA: (fact_real__sqrt__two__ge__zero) implies:
% 290.23/57.24 | (118) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.23/57.24 | (c_NthRoot_Osqrt(v3) = v4 &
% 290.23/57.24 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.23/57.24 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 290.23/57.24 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 290.23/57.24 | $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 290.23/57.24 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v4))
% 290.23/57.24 |
% 290.23/57.24 | ALPHA: (fact_complex__norm) implies:
% 290.23/57.24 | (119) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 290.23/57.24 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 &
% 290.23/57.24 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 290.23/57.24 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & $i(v3) &
% 290.23/57.24 | $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i]
% 290.23/57.24 | : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ( ~
% 290.23/57.24 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v7, v9) = v10) |
% 290.23/57.24 | ~ (hAPP(v8, v3) = v9) | ~ (hAPP(v6, v3) = v7) | ~ (hAPP(v0, v5)
% 290.23/57.24 | = v6) | ~ (hAPP(v0, v4) = v8) | ~ $i(v5) | ~ $i(v4) | ?
% 290.23/57.24 | [v11: $i] : ? [v12: $i] : (c_NthRoot_Osqrt(v10) = v12 &
% 290.23/57.24 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v11) = v12
% 290.23/57.24 | & c_Complex_Ocomplex_OComplex(v5, v4) = v11 & $i(v12) &
% 290.23/57.24 | $i(v11))))
% 290.23/57.24 |
% 290.23/57.24 | ALPHA: (fact_le__real__sqrt__sumsq) implies:
% 290.23/57.24 | (120) ? [v0: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 290.23/57.24 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 290.23/57.24 | [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 290.23/57.24 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v6) = v7) | ~
% 290.23/57.24 | (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(v0, v2) =
% 290.23/57.24 | v3) | ~ (hAPP(v0, v1) = v5) | ~ $i(v2) | ~ $i(v1) | ? [v8:
% 290.23/57.24 | $i] : (c_NthRoot_Osqrt(v7) = v8 & $i(v8) &
% 290.23/57.24 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v8))))
% 290.23/57.24 |
% 290.23/57.24 | ALPHA: (fact_real__sqrt__unique) implies:
% 290.23/57.25 | (121) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.23/57.25 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v4 &
% 290.23/57.25 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 &
% 290.23/57.25 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 290.23/57.25 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & $i(v4) &
% 290.23/57.25 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : !
% 290.23/57.25 | [v7: $i] : ! [v8: $i] : (v8 = v6 | ~ (c_NthRoot_Osqrt(v5) = v8) |
% 290.23/57.25 | ~ (hAPP(v0, v6) = v7) | ~ $i(v6) | ~ $i(v5) | ~
% 290.23/57.25 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v6) | ?
% 290.23/57.25 | [v9: $i] : ( ~ (v9 = v5) & hAPP(v7, v3) = v9 & $i(v9))))
% 290.23/57.25 |
% 290.23/57.25 | ALPHA: (fact_real__sqrt__pow2) implies:
% 290.23/57.25 | (122) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.23/57.25 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.23/57.25 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v1 &
% 290.23/57.25 | c_Int_OBit1(c_Int_OPls) = v2 & c_Int_OBit0(v2) = v3 &
% 290.23/57.25 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v3) = v4 & $i(v4) &
% 290.23/57.25 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : ( ~
% 290.23/57.25 | (c_NthRoot_Osqrt(v5) = v6) | ~ $i(v5) | ~
% 290.23/57.25 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v5) | ?
% 290.23/57.25 | [v7: $i] : (hAPP(v7, v4) = v5 & hAPP(v1, v6) = v7 & $i(v7))))
% 290.23/57.25 |
% 290.23/57.25 | ALPHA: (fact_real__sqrt__pow2__iff) implies:
% 290.23/57.25 | (123) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.23/57.25 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v4 &
% 290.23/57.25 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 &
% 290.23/57.25 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 290.23/57.25 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & $i(v4) &
% 290.23/57.25 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : ( ~
% 290.23/57.25 | (c_NthRoot_Osqrt(v5) = v6) | ~ $i(v5) | ~
% 290.23/57.25 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v5) | ?
% 290.23/57.25 | [v7: $i] : (hAPP(v7, v3) = v5 & hAPP(v0, v6) = v7 & $i(v7))) & !
% 290.23/57.25 | [v5: $i] : ! [v6: $i] : ( ~ (c_NthRoot_Osqrt(v5) = v6) | ~ $i(v5)
% 290.23/57.25 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v5) |
% 290.23/57.25 | ? [v7: $i] : ? [v8: $i] : ( ~ (v8 = v5) & hAPP(v7, v3) = v8 &
% 290.23/57.25 | hAPP(v0, v6) = v7 & $i(v8) & $i(v7))))
% 290.23/57.25 |
% 290.23/57.25 | ALPHA: (fact_real__sqrt__sum__squares__eq__cancel2) implies:
% 290.23/57.25 | (124) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.23/57.25 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v4 &
% 290.23/57.25 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 &
% 290.23/57.25 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 290.23/57.25 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & $i(v4) &
% 290.23/57.25 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : !
% 290.23/57.25 | [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i]
% 290.23/57.25 | : (v6 = v4 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v8,
% 290.23/57.25 | v10) = v11) | ~ (hAPP(v9, v3) = v10) | ~ (hAPP(v7, v3) =
% 290.23/57.25 | v8) | ~ (hAPP(v0, v6) = v7) | ~ (hAPP(v0, v5) = v9) | ~
% 290.23/57.25 | $i(v6) | ~ $i(v5) | ? [v12: $i] : ( ~ (v12 = v5) &
% 290.23/57.25 | c_NthRoot_Osqrt(v11) = v12 & $i(v12))))
% 290.23/57.25 |
% 290.23/57.25 | ALPHA: (fact_real__sqrt__sum__squares__eq__cancel) implies:
% 290.23/57.25 | (125) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.23/57.25 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v4 &
% 290.23/57.25 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 &
% 290.23/57.25 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 290.23/57.25 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & $i(v4) &
% 290.23/57.25 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : !
% 290.23/57.25 | [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i]
% 290.23/57.25 | : (v5 = v4 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v8,
% 290.23/57.25 | v10) = v11) | ~ (hAPP(v9, v3) = v10) | ~ (hAPP(v7, v3) =
% 290.23/57.25 | v8) | ~ (hAPP(v0, v6) = v7) | ~ (hAPP(v0, v5) = v9) | ~
% 290.23/57.25 | $i(v6) | ~ $i(v5) | ? [v12: $i] : ( ~ (v12 = v6) &
% 290.23/57.25 | c_NthRoot_Osqrt(v11) = v12 & $i(v12))))
% 290.23/57.25 |
% 290.23/57.25 | ALPHA: (fact_eq__number__of__0) implies:
% 290.23/57.25 | (126) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 290.23/57.25 | & ! [v1: $i] : ! [v2: $i] : (v2 = v0 | ~
% 290.23/57.25 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~
% 290.23/57.25 | $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1,
% 290.23/57.25 | c_Int_OPls)) & ! [v1: $i] : ( ~
% 290.23/57.25 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v0) | ~
% 290.23/57.25 | $i(v1) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1,
% 290.23/57.25 | c_Int_OPls)))
% 290.23/57.25 |
% 290.23/57.25 | ALPHA: (fact_real__sqrt__sum__squares__ge__zero) implies:
% 290.23/57.25 | (127) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.23/57.25 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.23/57.25 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v1 &
% 290.23/57.25 | c_Int_OBit1(c_Int_OPls) = v2 & c_Int_OBit0(v2) = v3 &
% 290.23/57.25 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v3) = v4 & $i(v4) &
% 290.23/57.25 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : !
% 290.23/57.25 | [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i]
% 290.23/57.25 | : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v8, v10) =
% 290.23/57.25 | v11) | ~ (hAPP(v9, v4) = v10) | ~ (hAPP(v7, v4) = v8) | ~
% 290.23/57.25 | (hAPP(v1, v6) = v7) | ~ (hAPP(v1, v5) = v9) | ~ $i(v6) | ~
% 290.23/57.25 | $i(v5) | ? [v12: $i] : (c_NthRoot_Osqrt(v11) = v12 & $i(v12) &
% 290.23/57.25 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v12))))
% 290.23/57.25 |
% 290.23/57.25 | ALPHA: (fact_odd__0__le__power__imp__0__le) implies:
% 290.23/57.25 | (128) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.23/57.25 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 290.23/57.25 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 290.23/57.25 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & hAPP(v0,
% 290.23/57.25 | v3) = v4 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5:
% 290.23/57.25 | $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : !
% 290.23/57.25 | [v10: $i] : ! [v11: $i] : ! [v12: $i] : ( ~ (c_Nat_OSuc(v10) =
% 290.23/57.25 | v11) | ~ (c_Power_Opower__class_Opower(v7) = v8) | ~
% 290.23/57.25 | (hAPP(v9, v11) = v12) | ~ (hAPP(v8, v6) = v9) | ~ (hAPP(v4, v5)
% 290.23/57.25 | = v10) | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~
% 290.23/57.25 | class_Rings_Olinordered__idom(v7) | ? [v13: $i] :
% 290.23/57.25 | (c_Groups_Ozero__class_Ozero(v7) = v13 & $i(v13) & ( ~
% 290.23/57.25 | c_Orderings_Oord__class_Oless__eq(v7, v13, v12) |
% 290.23/57.25 | c_Orderings_Oord__class_Oless__eq(v7, v13, v6)))))
% 290.23/57.25 |
% 290.23/57.25 | ALPHA: (fact_real__sqrt__sum__squares__mult__ge__zero) implies:
% 290.23/57.25 | (129) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.23/57.25 | ? [v5: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.23/57.25 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v2 &
% 290.23/57.25 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 290.23/57.25 | c_Int_OBit1(c_Int_OPls) = v3 & c_Int_OBit0(v3) = v4 &
% 290.23/57.25 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v4) = v5 & $i(v5) &
% 290.23/57.25 | $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v6: $i] : ! [v7:
% 290.23/57.25 | $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] :
% 290.23/57.25 | ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15: $i] : ! [v16:
% 290.23/57.25 | $i] : ! [v17: $i] : ! [v18: $i] : ! [v19: $i] : ! [v20: $i] :
% 290.23/57.25 | ! [v21: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,
% 290.23/57.25 | v17, v19) = v20) | ~
% 290.23/57.25 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v11, v13) = v14) |
% 290.23/57.25 | ~ (hAPP(v18, v5) = v19) | ~ (hAPP(v16, v5) = v17) | ~
% 290.23/57.25 | (hAPP(v15, v20) = v21) | ~ (hAPP(v12, v5) = v13) | ~ (hAPP(v10,
% 290.23/57.25 | v5) = v11) | ~ (hAPP(v2, v9) = v10) | ~ (hAPP(v2, v8) =
% 290.23/57.25 | v12) | ~ (hAPP(v2, v7) = v16) | ~ (hAPP(v2, v6) = v18) | ~
% 290.23/57.25 | (hAPP(v1, v14) = v15) | ~ $i(v9) | ~ $i(v8) | ~ $i(v7) | ~
% 290.23/57.25 | $i(v6) | ? [v22: $i] : (c_NthRoot_Osqrt(v21) = v22 & $i(v22) &
% 290.23/57.25 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v22))))
% 290.23/57.25 |
% 290.23/57.25 | ALPHA: (fact_le__special_I3_J) implies:
% 290.23/57.25 | (130) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 290.23/57.25 | (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~ $i(v1) | ~
% 290.23/57.25 | $i(v0) | ~ class_Int_Onumber__ring(v1) | ~
% 290.23/57.25 | class_Rings_Olinordered__idom(v1) | ? [v3: $i] : (( ~
% 290.23/57.25 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, c_Int_OPls)
% 290.23/57.25 | | (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) &
% 290.23/57.25 | c_Orderings_Oord__class_Oless__eq(v1, v2, v3))) &
% 290.23/57.25 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, c_Int_OPls) |
% 290.23/57.25 | (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ~
% 290.23/57.25 | c_Orderings_Oord__class_Oless__eq(v1, v2, v3)))))
% 290.23/57.25 |
% 290.23/57.25 | ALPHA: (fact_le__special_I1_J) implies:
% 290.23/57.25 | (131) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 290.23/57.25 | (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~ $i(v1) | ~
% 290.23/57.25 | $i(v0) | ~ class_Int_Onumber__ring(v1) | ~
% 290.23/57.25 | class_Rings_Olinordered__idom(v1) | ? [v3: $i] : (( ~
% 290.23/57.25 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0)
% 290.23/57.25 | | (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) &
% 290.23/57.25 | c_Orderings_Oord__class_Oless__eq(v1, v3, v2))) &
% 290.23/57.25 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0) |
% 290.23/57.25 | (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ~
% 290.23/57.25 | c_Orderings_Oord__class_Oless__eq(v1, v3, v2)))))
% 290.23/57.25 |
% 290.23/57.25 | ALPHA: (fact_nat__mult__2) implies:
% 290.23/57.25 | (132) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.23/57.25 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 290.23/57.25 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 290.23/57.25 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & hAPP(v0,
% 290.23/57.25 | v3) = v4 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5:
% 290.23/57.25 | $i] : ! [v6: $i] : ( ~ (hAPP(v4, v5) = v6) | ~ $i(v5) |
% 290.23/57.25 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v5, v5) = v6 &
% 290.23/57.25 | $i(v6))))
% 290.23/57.25 |
% 290.23/57.25 | ALPHA: (fact_nat__mult__2__right) implies:
% 290.23/57.25 | (133) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 290.23/57.25 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 290.23/57.25 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 290.23/57.25 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & $i(v3) &
% 290.23/57.25 | $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ( ~
% 290.23/57.25 | (hAPP(v0, v4) = v5) | ~ $i(v4) | ? [v6: $i] :
% 290.23/57.25 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v4, v4) = v6 & hAPP(v5,
% 290.23/57.25 | v3) = v6 & $i(v6))))
% 290.23/57.25 |
% 290.23/57.25 | ALPHA: (fact_nat__1__add__1) implies:
% 290.23/57.25 | (134) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 290.23/57.25 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v0) = v1 &
% 290.23/57.25 | c_Int_OBit1(c_Int_OPls) = v2 & c_Int_OBit0(v2) = v3 &
% 290.23/57.25 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v3) = v1 &
% 290.23/57.25 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v3) & $i(v2) &
% 290.23/57.25 | $i(v1) & $i(v0))
% 290.23/57.25 |
% 290.23/57.25 | ALPHA: (fact_zero__eq__power2) implies:
% 290.45/57.25 | (135) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 290.45/57.25 | v0 & c_Int_OBit0(v0) = v1 &
% 290.45/57.25 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 290.45/57.25 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 290.45/57.25 | $i] : ( ~ (c_Power_Opower__class_Opower(v4) = v5) | ~ (hAPP(v5,
% 290.45/57.25 | v3) = v6) | ~ $i(v4) | ~ $i(v3) | ~
% 290.45/57.25 | class_Rings_Oring__1__no__zero__divisors(v4) | ? [v7: $i] : ?
% 290.45/57.25 | [v8: $i] : (c_Groups_Ozero__class_Ozero(v4) = v8 & $i(v8) & ( ~
% 290.45/57.25 | (v8 = v3) | (v7 = v3 & hAPP(v6, v2) = v3)) & (v8 = v3 | ( ~
% 290.45/57.25 | (v8 = v7) & hAPP(v6, v2) = v7 & $i(v7))))))
% 290.45/57.25 |
% 290.45/57.25 | ALPHA: (fact_zero__power2) implies:
% 290.45/57.25 | (136) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 290.45/57.25 | v0 & c_Int_OBit0(v0) = v1 &
% 290.45/57.25 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 290.45/57.25 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 290.45/57.25 | $i] : ( ~ (c_Groups_Ozero__class_Ozero(v3) = v5) | ~
% 290.45/57.25 | (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v4, v5) = v6)
% 290.45/57.25 | | ~ $i(v3) | ~ class_Rings_Osemiring__1(v3) | (hAPP(v6, v2) =
% 290.45/57.25 | v5 & $i(v5))))
% 290.45/57.25 |
% 290.45/57.25 | ALPHA: (fact_real__sqrt__abs) implies:
% 290.45/57.25 | (137) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 290.45/57.25 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 &
% 290.45/57.25 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 290.45/57.25 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & $i(v3) &
% 290.45/57.25 | $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ( ~
% 290.45/57.25 | (hAPP(v0, v4) = v5) | ~ $i(v4) | ? [v6: $i] : ? [v7: $i] :
% 290.45/57.25 | (c_NthRoot_Osqrt(v6) = v7 &
% 290.45/57.25 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v4) = v7 & hAPP(v5,
% 290.45/57.25 | v3) = v6 & $i(v7) & $i(v6))))
% 290.45/57.25 |
% 290.45/57.25 | ALPHA: (fact_power2__eq__imp__eq) implies:
% 290.45/57.25 | (138) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 290.45/57.25 | v0 & c_Int_OBit0(v0) = v1 &
% 290.45/57.25 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 290.45/57.25 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 290.45/57.25 | $i] : ! [v7: $i] : ! [v8: $i] : (v4 = v3 | ~
% 290.45/57.25 | (c_Power_Opower__class_Opower(v5) = v6) | ~ (hAPP(v6, v4) = v7)
% 290.45/57.25 | | ~ (hAPP(v6, v3) = v8) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~
% 290.45/57.25 | class_Rings_Olinordered__semidom(v5) | ? [v9: $i] : ? [v10: $i]
% 290.45/57.25 | : ? [v11: $i] : (( ~ (v10 = v9) & hAPP(v8, v2) = v10 & hAPP(v7,
% 290.45/57.25 | v2) = v9 & $i(v10) & $i(v9)) |
% 290.45/57.25 | (c_Groups_Ozero__class_Ozero(v5) = v11 & $i(v11) & ~
% 290.45/57.25 | c_Orderings_Oord__class_Oless__eq(v5, v11, v4)) |
% 290.45/57.25 | (c_Groups_Ozero__class_Ozero(v5) = v11 & $i(v11) & ~
% 290.45/57.25 | c_Orderings_Oord__class_Oless__eq(v5, v11, v3)))))
% 290.45/57.25 |
% 290.45/57.25 | ALPHA: (fact_power2__le__imp__le) implies:
% 290.45/57.25 | (139) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 290.45/57.25 | v0 & c_Int_OBit0(v0) = v1 &
% 290.45/57.25 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 290.45/57.25 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 290.45/57.25 | $i] : ! [v7: $i] : ! [v8: $i] : ( ~
% 290.45/57.25 | (c_Power_Opower__class_Opower(v5) = v6) | ~ (hAPP(v6, v4) = v7)
% 290.45/57.25 | | ~ (hAPP(v6, v3) = v8) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~
% 290.45/57.25 | class_Rings_Olinordered__semidom(v5) |
% 290.45/57.25 | c_Orderings_Oord__class_Oless__eq(v5, v4, v3) | ? [v9: $i] : ?
% 290.45/57.25 | [v10: $i] : ? [v11: $i] : ((c_Groups_Ozero__class_Ozero(v5) =
% 290.45/57.25 | v11 & $i(v11) & ~ c_Orderings_Oord__class_Oless__eq(v5, v11,
% 290.45/57.25 | v3)) | (hAPP(v8, v2) = v10 & hAPP(v7, v2) = v9 & $i(v10) &
% 290.45/57.25 | $i(v9) & ~ c_Orderings_Oord__class_Oless__eq(v5, v9,
% 290.45/57.25 | v10)))))
% 290.45/57.25 |
% 290.45/57.25 | ALPHA: (fact_zero__le__power2) implies:
% 290.45/57.25 | (140) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 290.45/57.25 | v0 & c_Int_OBit0(v0) = v1 &
% 290.45/57.25 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 290.45/57.25 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 290.45/57.25 | $i] : ( ~ (c_Power_Opower__class_Opower(v4) = v5) | ~ (hAPP(v5,
% 290.45/57.25 | v3) = v6) | ~ $i(v4) | ~ $i(v3) | ~
% 290.45/57.25 | class_Rings_Olinordered__idom(v4) | ? [v7: $i] : ? [v8: $i] :
% 290.45/57.25 | (c_Groups_Ozero__class_Ozero(v4) = v7 & hAPP(v6, v2) = v8 &
% 290.45/57.25 | $i(v8) & $i(v7) & c_Orderings_Oord__class_Oless__eq(v4, v7,
% 290.45/57.25 | v8))))
% 290.45/57.25 |
% 290.45/57.25 | ALPHA: (fact_sum__power2__eq__zero__iff) implies:
% 290.45/57.25 | (141) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 290.45/57.25 | v0 & c_Int_OBit0(v0) = v1 &
% 290.45/57.25 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 290.45/57.25 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 290.45/57.25 | $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : !
% 290.45/57.25 | [v11: $i] : ( ~ (c_Groups_Oplus__class_Oplus(v5, v8, v10) = v11) |
% 290.45/57.25 | ~ (c_Power_Opower__class_Opower(v5) = v6) | ~ (hAPP(v9, v2) =
% 290.45/57.25 | v10) | ~ (hAPP(v7, v2) = v8) | ~ (hAPP(v6, v4) = v7) | ~
% 290.45/57.25 | (hAPP(v6, v3) = v9) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~
% 290.45/57.25 | class_Rings_Olinordered__idom(v5) | ? [v12: $i] :
% 290.45/57.25 | (c_Groups_Ozero__class_Ozero(v5) = v12 & $i(v12) & ( ~ (v12 =
% 290.45/57.25 | v11) | (v11 = v3 & v4 = v3)) & ( ~ (v12 = v3) | ~ (v4 =
% 290.45/57.25 | v3) | v11 = v3))))
% 290.45/57.25 |
% 290.45/57.25 | ALPHA: (fact_real__sqrt__sum__squares__triangle__ineq) implies:
% 290.45/57.26 | (142) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 290.45/57.26 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 &
% 290.45/57.26 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 290.45/57.26 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & $i(v3) &
% 290.45/57.26 | $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i]
% 290.45/57.26 | : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11:
% 290.45/57.26 | $i] : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15: $i] :
% 290.45/57.26 | ! [v16: $i] : ! [v17: $i] : ! [v18: $i] : ! [v19: $i] : !
% 290.45/57.26 | [v20: $i] : ( ~ (c_NthRoot_Osqrt(v18) = v19) | ~
% 290.45/57.26 | (c_NthRoot_Osqrt(v12) = v13) | ~
% 290.45/57.26 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v15, v17) = v18) |
% 290.45/57.26 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v13, v19) =
% 290.45/57.26 | v20) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v9,
% 290.45/57.26 | v11) = v12) | ~ (hAPP(v16, v3) = v17) | ~ (hAPP(v14, v3) =
% 290.45/57.26 | v15) | ~ (hAPP(v10, v3) = v11) | ~ (hAPP(v8, v3) = v9) | ~
% 290.45/57.26 | (hAPP(v0, v7) = v8) | ~ (hAPP(v0, v6) = v14) | ~ (hAPP(v0, v5)
% 290.45/57.26 | = v10) | ~ (hAPP(v0, v4) = v16) | ~ $i(v7) | ~ $i(v6) | ~
% 290.45/57.26 | $i(v5) | ~ $i(v4) | ? [v21: $i] : ? [v22: $i] : ? [v23: $i] :
% 290.45/57.26 | ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ?
% 290.45/57.26 | [v28: $i] : (c_NthRoot_Osqrt(v27) = v28 &
% 290.45/57.26 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v23, v26) = v27 &
% 290.45/57.26 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v7, v6) = v21 &
% 290.45/57.26 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v4) = v24 &
% 290.45/57.26 | hAPP(v25, v3) = v26 & hAPP(v22, v3) = v23 & hAPP(v0, v24) = v25
% 290.45/57.26 | & hAPP(v0, v21) = v22 & $i(v28) & $i(v27) & $i(v26) & $i(v25) &
% 290.45/57.26 | $i(v24) & $i(v23) & $i(v22) & $i(v21) &
% 290.45/57.26 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v28,
% 290.45/57.26 | v20))))
% 290.45/57.26 |
% 290.45/57.26 | ALPHA: (fact_real__sqrt__sum__squares__ge2) implies:
% 290.45/57.26 | (143) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 290.45/57.26 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 &
% 290.45/57.26 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 290.45/57.26 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & $i(v3) &
% 290.45/57.26 | $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i]
% 290.45/57.26 | : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ( ~
% 290.45/57.26 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v7, v9) = v10) |
% 290.45/57.26 | ~ (hAPP(v8, v3) = v9) | ~ (hAPP(v6, v3) = v7) | ~ (hAPP(v0, v5)
% 290.45/57.26 | = v8) | ~ (hAPP(v0, v4) = v6) | ~ $i(v5) | ~ $i(v4) | ?
% 290.45/57.26 | [v11: $i] : (c_NthRoot_Osqrt(v10) = v11 & $i(v11) &
% 290.45/57.26 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v11))))
% 290.45/57.26 |
% 290.45/57.26 | ALPHA: (fact_real__sqrt__sum__squares__ge1) implies:
% 290.45/57.26 | (144) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 290.45/57.26 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 &
% 290.45/57.26 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 290.45/57.26 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & $i(v3) &
% 290.45/57.26 | $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i]
% 290.45/57.26 | : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ( ~
% 290.45/57.26 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v7, v9) = v10) |
% 290.45/57.26 | ~ (hAPP(v8, v3) = v9) | ~ (hAPP(v6, v3) = v7) | ~ (hAPP(v0, v5)
% 290.45/57.26 | = v6) | ~ (hAPP(v0, v4) = v8) | ~ $i(v5) | ~ $i(v4) | ?
% 290.45/57.26 | [v11: $i] : (c_NthRoot_Osqrt(v10) = v11 & $i(v11) &
% 290.45/57.26 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v11))))
% 290.45/57.26 |
% 290.45/57.26 | ALPHA: (fact_real__sqrt__sum__squares__mult__squared__eq) implies:
% 290.45/57.26 | (145) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.45/57.26 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 &
% 290.45/57.26 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 290.45/57.26 | c_Int_OBit1(c_Int_OPls) = v2 & c_Int_OBit0(v2) = v3 &
% 290.45/57.26 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v3) = v4 & $i(v4) &
% 290.45/57.26 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : !
% 290.45/57.26 | [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i]
% 290.45/57.26 | : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15: $i] : !
% 290.45/57.26 | [v16: $i] : ! [v17: $i] : ! [v18: $i] : ! [v19: $i] : ! [v20:
% 290.45/57.26 | $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v16,
% 290.45/57.26 | v18) = v19) | ~
% 290.45/57.26 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v10, v12) = v13) |
% 290.45/57.26 | ~ (hAPP(v17, v4) = v18) | ~ (hAPP(v15, v4) = v16) | ~
% 290.45/57.26 | (hAPP(v14, v19) = v20) | ~ (hAPP(v11, v4) = v12) | ~ (hAPP(v9,
% 290.45/57.26 | v4) = v10) | ~ (hAPP(v1, v13) = v14) | ~ (hAPP(v0, v8) =
% 290.45/57.26 | v9) | ~ (hAPP(v0, v7) = v11) | ~ (hAPP(v0, v6) = v15) | ~
% 290.45/57.26 | (hAPP(v0, v5) = v17) | ~ $i(v8) | ~ $i(v7) | ~ $i(v6) | ~
% 290.45/57.26 | $i(v5) | ? [v21: $i] : ? [v22: $i] : (c_NthRoot_Osqrt(v20) =
% 290.45/57.26 | v21 & hAPP(v22, v4) = v20 & hAPP(v0, v21) = v22 & $i(v22) &
% 290.45/57.26 | $i(v21) & $i(v20))))
% 290.45/57.26 |
% 290.45/57.26 | ALPHA: (fact_realpow__two__sum__zero__iff) implies:
% 290.45/57.26 | (146) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.45/57.26 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v4 &
% 290.45/57.26 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 &
% 290.45/57.26 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 290.45/57.26 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & $i(v4) &
% 290.45/57.26 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : !
% 290.45/57.26 | [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : (v6 = v4 | ~
% 290.45/57.26 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v8, v10) = v4) |
% 290.45/57.26 | ~ (hAPP(v9, v3) = v10) | ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v0,
% 290.45/57.26 | v6) = v7) | ~ (hAPP(v0, v5) = v9) | ~ $i(v6) | ~ $i(v5)) &
% 290.45/57.26 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i]
% 290.45/57.26 | : ! [v10: $i] : (v5 = v4 | ~
% 290.45/57.26 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v8, v10) = v4) |
% 290.45/57.26 | ~ (hAPP(v9, v3) = v10) | ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v0,
% 290.45/57.26 | v6) = v7) | ~ (hAPP(v0, v5) = v9) | ~ $i(v6) | ~ $i(v5)) &
% 290.45/57.26 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : (v7 = v4 | ~
% 290.45/57.26 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v6, v6) = v7) | ~
% 290.45/57.26 | (hAPP(v5, v3) = v6) | ~ (hAPP(v0, v4) = v5)))
% 290.45/57.26 |
% 290.45/57.26 | ALPHA: (fact_comm__semiring__1__class_Onormalizing__semiring__rules_I37_J)
% 290.45/57.26 | implies:
% 290.45/57.26 | (147) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.45/57.26 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 290.45/57.26 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 290.45/57.26 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & hAPP(v0,
% 290.45/57.26 | v3) = v4 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5:
% 290.45/57.26 | $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : !
% 290.45/57.26 | [v10: $i] : ! [v11: $i] : ! [v12: $i] : ( ~ (c_Nat_OSuc(v10) =
% 290.45/57.26 | v11) | ~ (c_Power_Opower__class_Opower(v7) = v8) | ~
% 290.45/57.26 | (hAPP(v9, v11) = v12) | ~ (hAPP(v8, v6) = v9) | ~ (hAPP(v4, v5)
% 290.45/57.26 | = v10) | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~
% 290.45/57.26 | class_Rings_Ocomm__semiring__1(v7) | ? [v13: $i] : ? [v14: $i]
% 290.45/57.26 | : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] :
% 290.45/57.26 | (c_Groups_Otimes__class_Otimes(v7) = v13 & hAPP(v16, v15) = v17 &
% 290.45/57.26 | hAPP(v14, v17) = v12 & hAPP(v13, v15) = v16 & hAPP(v13, v6) =
% 290.45/57.26 | v14 & hAPP(v9, v5) = v15 & $i(v17) & $i(v16) & $i(v15) &
% 290.45/57.26 | $i(v14) & $i(v13) & $i(v12))))
% 290.45/57.26 |
% 290.45/57.26 | ALPHA: (fact_power__odd__eq) implies:
% 290.45/57.26 | (148) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.45/57.26 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 290.45/57.26 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 290.45/57.26 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & hAPP(v0,
% 290.45/57.26 | v3) = v4 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5:
% 290.45/57.26 | $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : !
% 290.45/57.26 | [v10: $i] : ! [v11: $i] : ! [v12: $i] : ! [v13: $i] : ! [v14:
% 290.45/57.26 | $i] : ! [v15: $i] : ( ~ (c_Power_Opower__class_Opower(v7) = v8)
% 290.45/57.26 | | ~ (c_Groups_Otimes__class_Otimes(v7) = v10) | ~ (hAPP(v13,
% 290.45/57.26 | v3) = v14) | ~ (hAPP(v11, v14) = v15) | ~ (hAPP(v10, v6) =
% 290.45/57.26 | v11) | ~ (hAPP(v9, v5) = v12) | ~ (hAPP(v8, v12) = v13) | ~
% 290.45/57.26 | (hAPP(v8, v6) = v9) | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~
% 290.45/57.26 | class_Groups_Omonoid__mult(v7) | ? [v16: $i] : ? [v17: $i] :
% 290.45/57.26 | (c_Nat_OSuc(v16) = v17 & hAPP(v9, v17) = v15 & hAPP(v4, v5) = v16
% 290.45/57.26 | & $i(v17) & $i(v16) & $i(v15))))
% 290.45/57.26 |
% 290.45/57.26 | ALPHA: (fact_sum__power2__le__zero__iff) implies:
% 290.45/57.26 | (149) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 290.45/57.26 | v0 & c_Int_OBit0(v0) = v1 &
% 290.45/57.26 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 290.45/57.26 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 290.45/57.26 | $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : !
% 290.45/57.26 | [v11: $i] : ( ~ (c_Groups_Oplus__class_Oplus(v5, v8, v10) = v11) |
% 290.45/57.26 | ~ (c_Power_Opower__class_Opower(v5) = v6) | ~ (hAPP(v9, v2) =
% 290.45/57.26 | v10) | ~ (hAPP(v7, v2) = v8) | ~ (hAPP(v6, v4) = v7) | ~
% 290.45/57.26 | (hAPP(v6, v3) = v9) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~
% 290.45/57.26 | class_Rings_Olinordered__idom(v5) | ? [v12: $i] :
% 290.45/57.26 | (c_Groups_Ozero__class_Ozero(v5) = v12 & $i(v12) & ( ~ (v12 = v3)
% 290.45/57.26 | | ~ (v4 = v3) | c_Orderings_Oord__class_Oless__eq(v5, v11,
% 290.45/57.26 | v3)) & ( ~ c_Orderings_Oord__class_Oless__eq(v5, v11, v12)
% 290.45/57.26 | | (v12 = v3 & v4 = v3)))))
% 290.45/57.26 |
% 290.45/57.26 | ALPHA: (fact_even__power__le__0__imp__0) implies:
% 290.45/57.26 | (150) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.45/57.26 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 290.45/57.26 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 290.45/57.26 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & hAPP(v0,
% 290.45/57.26 | v3) = v4 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5:
% 290.45/57.26 | $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : !
% 290.45/57.26 | [v10: $i] : ! [v11: $i] : ( ~ (c_Power_Opower__class_Opower(v7) =
% 290.45/57.26 | v8) | ~ (hAPP(v9, v10) = v11) | ~ (hAPP(v8, v6) = v9) | ~
% 290.45/57.26 | (hAPP(v4, v5) = v10) | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~
% 290.45/57.26 | class_Rings_Olinordered__idom(v7) | ? [v12: $i] :
% 290.45/57.26 | (c_Groups_Ozero__class_Ozero(v7) = v12 & $i(v12) & (v12 = v6 | ~
% 290.45/57.26 | c_Orderings_Oord__class_Oless__eq(v7, v11, v12)))))
% 290.45/57.26 |
% 290.45/57.26 | ALPHA: (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I7_J)
% 290.45/57.26 | implies:
% 290.45/57.26 | (151) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 290.45/57.26 | (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 &
% 290.45/57.26 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 290.45/57.26 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3 & $i(v3) &
% 290.45/57.26 | $i(v2) & $i(v1) & $i(v0) &
% 290.45/57.26 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3))
% 290.45/57.26 |
% 290.45/57.26 | ALPHA: (fact_norm__power__ineq) implies:
% 290.45/57.26 | (152) ? [v0: $i] : (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 &
% 290.45/57.26 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 290.45/57.26 | [v5: $i] : ! [v6: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v3,
% 290.45/57.26 | v2) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v0, v4) = v5) |
% 290.45/57.26 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 290.45/57.26 | class_RealVector_Oreal__normed__algebra__1(v3) | ? [v7: $i] : ?
% 290.45/57.26 | [v8: $i] : ? [v9: $i] : ? [v10: $i] :
% 290.45/57.26 | (c_RealVector_Onorm__class_Onorm(v3, v9) = v10 &
% 290.45/57.26 | c_Power_Opower__class_Opower(v3) = v7 & hAPP(v8, v1) = v9 &
% 290.45/57.26 | hAPP(v7, v2) = v8 & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 290.45/57.26 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, v6))))
% 290.45/57.26 |
% 290.45/57.26 | ALPHA: (fact_Complex__eq__i) implies:
% 290.45/57.26 | (153) ? [v0: $i] : ? [v1: $i] :
% 290.45/57.26 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.45/57.26 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0)
% 290.45/57.26 | & ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 290.45/57.26 | (c_Complex_Ocomplex_OComplex(v3, v2) = c_Complex_Oii) | ~ $i(v3)
% 290.45/57.26 | | ~ $i(v2)) & ! [v2: $i] : ! [v3: $i] : (v2 = v1 | ~
% 290.45/57.26 | (c_Complex_Ocomplex_OComplex(v3, v2) = c_Complex_Oii) | ~ $i(v3)
% 290.45/57.26 | | ~ $i(v2)) & ! [v2: $i] : (v2 = c_Complex_Oii | ~
% 290.45/57.26 | (c_Complex_Ocomplex_OComplex(v0, v1) = v2)))
% 290.45/57.26 |
% 290.45/57.26 | ALPHA: (fact_i__def) implies:
% 290.45/57.26 | (154) ? [v0: $i] : ? [v1: $i] :
% 290.45/57.26 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.45/57.26 | c_Complex_Ocomplex_OComplex(v0, v1) = c_Complex_Oii &
% 290.45/57.26 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0))
% 290.45/57.26 |
% 290.45/57.26 | ALPHA: (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J)
% 290.45/57.26 | implies:
% 290.45/57.26 | (155) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 290.45/57.26 | & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v0))
% 290.45/57.26 |
% 290.45/57.26 | ALPHA: (fact_norm__eq__zero) implies:
% 290.45/57.26 | (156) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.45/57.26 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 290.45/57.26 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ $i(v2) | ~
% 290.45/57.26 | $i(v1) | ~ class_RealVector_Oreal__normed__vector(v2) | ? [v4:
% 290.45/57.26 | $i] : (( ~ (v3 = v0) | (v4 = v1 &
% 290.45/57.26 | c_Groups_Ozero__class_Ozero(v2) = v1)) & (v3 = v0 | ( ~ (v4
% 290.45/57.26 | = v1) & c_Groups_Ozero__class_Ozero(v2) = v4 &
% 290.45/57.26 | $i(v4))))))
% 290.45/57.26 |
% 290.45/57.26 | ALPHA: (fact_norm__zero) implies:
% 290.45/57.26 | (157) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.45/57.26 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 290.45/57.26 | (c_Groups_Ozero__class_Ozero(v1) = v2) | ~
% 290.45/57.26 | (c_RealVector_Onorm__class_Onorm(v1, v2) = v3) | ~ $i(v1) | ~
% 290.45/57.26 | class_RealVector_Oreal__normed__vector(v1)))
% 290.45/57.26 |
% 290.45/57.26 | ALPHA: (fact_norm__ge__zero) implies:
% 290.45/57.26 | (158) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.45/57.26 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 290.45/57.26 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ $i(v2) | ~
% 290.45/57.26 | $i(v1) | ~ class_RealVector_Oreal__normed__vector(v2) |
% 290.45/57.26 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3)))
% 290.45/57.26 |
% 290.45/57.26 | ALPHA: (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J)
% 290.45/57.26 | implies:
% 290.45/57.26 | (159) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 290.45/57.26 | = v0 & c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 & $i(v1) &
% 290.45/57.26 | $i(v0) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1))
% 290.45/57.26 |
% 290.45/57.26 | ALPHA: (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J)
% 290.45/57.26 | implies:
% 290.45/57.26 | (160) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 290.45/57.26 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 290.45/57.26 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v3) | ~
% 290.45/57.26 | $i(v2) | ~ $i(v1) | ~
% 290.45/57.26 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2) | ~
% 290.45/57.26 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1) |
% 290.45/57.26 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3)))
% 290.45/57.26 |
% 290.45/57.26 | ALPHA: (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J)
% 290.45/57.26 | implies:
% 290.45/57.26 | (161) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 290.45/57.26 | = v0 & c_Groups_Otimes__class_Otimes(tc_Int_Oint) = v1 & $i(v1) &
% 290.45/57.26 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (
% 290.45/57.26 | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v1, v3) = v4) | ~ $i(v3) | ~
% 290.45/57.26 | $i(v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0,
% 290.45/57.26 | v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v2)
% 290.45/57.26 | | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v5)))
% 290.45/57.26 |
% 290.45/57.26 | ALPHA: (fact_abs__norm__cancel) implies:
% 290.45/57.26 | (162) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 290.45/57.26 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~
% 290.45/57.26 | $i(v0) | ~ class_RealVector_Oreal__normed__vector(v1) |
% 290.45/57.26 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v2) = v2 & $i(v2)))
% 290.45/57.26 |
% 290.45/57.26 | ALPHA: (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J)
% 290.45/57.26 | implies:
% 290.45/57.26 | (163) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 290.45/57.26 | = v0 & c_Power_Opower__class_Opower(tc_Int_Oint) = v1 & $i(v1) &
% 290.45/57.26 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (
% 290.45/57.26 | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v1, v3) = v4) | ~ $i(v3) | ~
% 290.45/57.26 | $i(v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0,
% 290.45/57.26 | v3) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v5)))
% 290.45/57.26 |
% 290.45/57.26 | ALPHA: (fact_power2__i) implies:
% 290.45/57.26 | (164) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.45/57.26 | ? [v5: $i] : (c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v0
% 290.45/57.26 | & c_Int_OBit1(c_Int_OPls) = v2 & c_Int_OBit0(v2) = v3 &
% 290.45/57.26 | c_Int_Onumber__class_Onumber__of(tc_Complex_Ocomplex, c_Int_OMin) =
% 290.45/57.26 | v5 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v3) = v4 &
% 290.45/57.26 | hAPP(v1, v4) = v5 & hAPP(v0, c_Complex_Oii) = v1 & $i(v5) & $i(v4)
% 290.45/57.26 | & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 290.45/57.26 |
% 290.45/57.26 | ALPHA: (fact_power__eq__0__iff__number__of) implies:
% 290.45/57.27 | (165) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 290.45/57.27 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 290.45/57.27 | $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 290.45/57.27 | (c_Power_Opower__class_Opower(v3) = v4) | ~
% 290.45/57.27 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v6) | ~
% 290.45/57.27 | (hAPP(v5, v6) = v7) | ~ (hAPP(v4, v2) = v5) | ~ $i(v3) | ~
% 290.45/57.27 | $i(v2) | ~ $i(v1) | ~ class_Rings_Ozero__neq__one(v3) | ~
% 290.45/57.27 | class_Rings_Ono__zero__divisors(v3) | ~
% 290.45/57.27 | class_Rings_Omult__zero(v3) | ~ class_Power_Opower(v3) | ? [v8:
% 290.45/57.27 | $i] : (c_Groups_Ozero__class_Ozero(v3) = v8 & $i(v8) & ( ~ (v8
% 290.45/57.27 | = v7) | (v7 = v2 & ~ (v6 = v0))) & ( ~ (v8 = v2) | v7 = v2
% 290.45/57.27 | | v6 = v0))))
% 290.45/57.27 |
% 290.45/57.27 | ALPHA: (fact_norm__le__zero__iff) implies:
% 290.45/57.27 | (166) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.45/57.27 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 290.45/57.27 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ $i(v2) | ~
% 290.45/57.27 | $i(v1) | ~ class_RealVector_Oreal__normed__vector(v2) | ? [v4:
% 290.45/57.27 | $i] : (( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 290.45/57.27 | v3, v0) | (v4 = v1 & c_Groups_Ozero__class_Ozero(v2) = v1))
% 290.45/57.27 | & (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0)
% 290.45/57.27 | | ( ~ (v4 = v1) & c_Groups_Ozero__class_Ozero(v2) = v4 &
% 290.45/57.27 | $i(v4))))))
% 290.45/57.27 |
% 290.45/57.27 | ALPHA: (fact_norm__mult) implies:
% 290.45/57.27 | (167) ? [v0: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 290.45/57.27 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 290.45/57.27 | [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 290.45/57.27 | (c_RealVector_Onorm__class_Onorm(v3, v2) = v4) | ~
% 290.45/57.27 | (c_RealVector_Onorm__class_Onorm(v3, v1) = v6) | ~ (hAPP(v5, v6)
% 290.45/57.27 | = v7) | ~ (hAPP(v0, v4) = v5) | ~ $i(v3) | ~ $i(v2) | ~
% 290.45/57.27 | $i(v1) | ~ class_RealVector_Oreal__normed__div__algebra(v3) | ?
% 290.45/57.27 | [v8: $i] : ? [v9: $i] : ? [v10: $i] :
% 290.45/57.27 | (c_RealVector_Onorm__class_Onorm(v3, v10) = v7 &
% 290.45/57.27 | c_Groups_Otimes__class_Otimes(v3) = v8 & hAPP(v9, v1) = v10 &
% 290.45/57.27 | hAPP(v8, v2) = v9 & $i(v10) & $i(v9) & $i(v8) & $i(v7))))
% 290.45/57.27 |
% 290.45/57.27 | ALPHA: (fact_norm__one) implies:
% 290.45/57.27 | (168) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 290.45/57.27 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 290.45/57.27 | (c_RealVector_Onorm__class_Onorm(v1, v2) = v3) | ~
% 290.45/57.27 | (c_Groups_Oone__class_Oone(v1) = v2) | ~ $i(v1) | ~
% 290.45/57.27 | class_RealVector_Oreal__normed__algebra__1(v1)))
% 290.45/57.27 |
% 290.45/57.27 | ALPHA: (fact_norm__power) implies:
% 290.45/57.27 | (169) ? [v0: $i] : (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 &
% 290.45/57.27 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 290.45/57.27 | [v5: $i] : ! [v6: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v3,
% 290.45/57.27 | v2) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v0, v4) = v5) |
% 290.45/57.27 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 290.45/57.27 | class_RealVector_Oreal__normed__div__algebra(v3) | ? [v7: $i] :
% 290.45/57.27 | ? [v8: $i] : ? [v9: $i] : (c_RealVector_Onorm__class_Onorm(v3,
% 290.45/57.27 | v9) = v6 & c_Power_Opower__class_Opower(v3) = v7 & hAPP(v8,
% 290.45/57.27 | v1) = v9 & hAPP(v7, v2) = v8 & $i(v9) & $i(v8) & $i(v7) &
% 290.45/57.27 | $i(v6))))
% 290.45/57.27 |
% 290.45/57.27 | ALPHA: (fact_power__0__left__number__of) implies:
% 290.45/57.27 | (170) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 290.45/57.27 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 290.45/57.27 | $i] : ! [v6: $i] : ! [v7: $i] : (v7 = v5 | v3 = v0 | ~
% 290.45/57.27 | (c_Groups_Ozero__class_Ozero(v2) = v5) | ~
% 290.45/57.27 | (c_Power_Opower__class_Opower(v2) = v4) | ~
% 290.45/57.27 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v3) | ~
% 290.45/57.27 | (hAPP(v6, v3) = v7) | ~ (hAPP(v4, v5) = v6) | ~ $i(v2) | ~
% 290.45/57.27 | $i(v1) | ~ class_Rings_Osemiring__0(v2) | ~
% 290.45/57.27 | class_Power_Opower(v2)) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i]
% 290.45/57.27 | : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 290.45/57.27 | (c_Groups_Ozero__class_Ozero(v2) = v4) | ~
% 290.45/57.27 | (c_Power_Opower__class_Opower(v2) = v3) | ~
% 290.45/57.27 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v0) | ~
% 290.45/57.27 | (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v4) = v5) | ~ $i(v2) | ~
% 290.45/57.27 | $i(v1) | ~ class_Rings_Osemiring__0(v2) | ~
% 290.45/57.27 | class_Power_Opower(v2) | (c_Groups_Oone__class_Oone(v2) = v6 &
% 290.45/57.27 | $i(v6))))
% 290.45/57.27 |
% 290.45/57.27 | ALPHA: (fact_norm__mult__ineq) implies:
% 290.45/57.27 | (171) ? [v0: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 290.45/57.27 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 290.45/57.27 | [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 290.45/57.27 | (c_RealVector_Onorm__class_Onorm(v3, v2) = v4) | ~
% 290.45/57.27 | (c_RealVector_Onorm__class_Onorm(v3, v1) = v6) | ~ (hAPP(v5, v6)
% 290.45/57.27 | = v7) | ~ (hAPP(v0, v4) = v5) | ~ $i(v3) | ~ $i(v2) | ~
% 290.45/57.27 | $i(v1) | ~ class_RealVector_Oreal__normed__algebra(v3) | ? [v8:
% 290.45/57.27 | $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] :
% 290.45/57.27 | (c_RealVector_Onorm__class_Onorm(v3, v10) = v11 &
% 290.45/57.27 | c_Groups_Otimes__class_Otimes(v3) = v8 & hAPP(v9, v1) = v10 &
% 290.45/57.27 | hAPP(v8, v2) = v9 & $i(v11) & $i(v10) & $i(v9) & $i(v8) &
% 290.45/57.27 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v11, v7))))
% 290.45/57.27 |
% 290.45/57.27 | ALPHA: (fact_Nat__Transfer_Otransfer__nat__int__function__closures_I8_J)
% 290.45/57.27 | implies:
% 290.45/57.27 | (172) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 290.45/57.27 | (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & c_Int_OBit1(v1) = v2
% 290.45/57.27 | & c_Int_OBit1(c_Int_OPls) = v1 &
% 290.45/57.27 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3 & $i(v3) &
% 290.45/57.27 | $i(v2) & $i(v1) & $i(v0) &
% 290.45/57.27 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v3))
% 290.45/57.27 |
% 290.45/57.27 | ALPHA: (fact_realpow__num__eq__if) implies:
% 290.45/57.27 | (173) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 290.45/57.27 | = v0 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v1) &
% 290.45/57.27 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 290.45/57.27 | [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] :
% 290.45/57.27 | ! [v11: $i] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3,
% 290.45/57.27 | v1) = v9) | ~ (c_Power_Opower__class_Opower(v4) = v5) | ~
% 290.45/57.27 | (c_Groups_Otimes__class_Otimes(v4) = v7) | ~ (hAPP(v8, v10) =
% 290.45/57.27 | v11) | ~ (hAPP(v7, v2) = v8) | ~ (hAPP(v6, v9) = v10) | ~
% 290.45/57.27 | (hAPP(v5, v2) = v6) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 290.45/57.27 | class_Power_Opower(v4) | ? [v12: $i] : ? [v13: $i] : (( ~ (v3 =
% 290.45/57.27 | v0) | (v13 = v12 & c_Groups_Oone__class_Oone(v4) = v12 &
% 290.45/57.27 | hAPP(v6, v0) = v12 & $i(v12))) & (v3 = v0 | (v12 = v11 &
% 290.45/57.27 | hAPP(v6, v3) = v11 & $i(v11))))))
% 290.45/57.27 |
% 290.45/57.27 | ALPHA: (fact_number__of1) implies:
% 290.45/57.27 | (174) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 290.45/57.27 | & ! [v1: $i] : ! [v2: $i] : ( ~
% 290.45/57.27 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v2) | ~
% 290.45/57.27 | $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0,
% 290.45/57.27 | v2) | ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 290.45/57.27 | (c_Int_OBit1(v1) = v5 & c_Int_OBit0(v1) = v3 &
% 290.45/57.27 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v5) = v6 &
% 290.45/57.27 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v3) = v4 & $i(v6)
% 290.45/57.27 | & $i(v5) & $i(v4) & $i(v3) &
% 290.45/57.27 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v6) &
% 290.45/57.27 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v4))))
% 290.45/57.27 |
% 290.45/57.27 | ALPHA: (fact_norm__ratiotest__lemma) implies:
% 290.45/57.27 | (175) ? [v0: $i] : ? [v1: $i] :
% 290.45/57.27 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.45/57.27 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 & $i(v1) &
% 290.45/57.27 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 290.45/57.27 | [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~
% 290.45/57.27 | (c_RealVector_Onorm__class_Onorm(v5, v3) = v6) | ~
% 290.45/57.27 | (c_RealVector_Onorm__class_Onorm(v5, v2) = v8) | ~ (hAPP(v7, v8)
% 290.45/57.27 | = v9) | ~ (hAPP(v1, v4) = v7) | ~ $i(v5) | ~ $i(v4) | ~
% 290.45/57.27 | $i(v3) | ~ $i(v2) | ~
% 290.45/57.27 | class_RealVector_Oreal__normed__vector(v5) | ~
% 290.45/57.27 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v9) | ~
% 290.45/57.27 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v0) |
% 290.45/57.27 | c_Groups_Ozero__class_Ozero(v5) = v3))
% 290.45/57.27 |
% 290.45/57.27 | ALPHA: (fact_nat_Osimps_I3_J) implies:
% 290.45/57.27 | (176) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 290.45/57.27 | & ! [v1: $i] : ( ~ (c_Nat_OSuc(v1) = v0) | ~ $i(v1)))
% 290.45/57.27 |
% 290.45/57.27 | ALPHA: (fact_add__is__0) implies:
% 290.45/57.27 | (177) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 290.45/57.27 | & ! [v1: $i] : ! [v2: $i] : (v2 = v0 | ~
% 290.45/57.27 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v0) | ~
% 290.45/57.27 | $i(v2) | ~ $i(v1)) & ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 290.45/57.27 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v0) | ~
% 290.45/57.27 | $i(v2) | ~ $i(v1)) & ! [v1: $i] : (v1 = v0 | ~
% 290.45/57.27 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v0) = v1)))
% 290.45/57.27 |
% 290.45/57.27 | ALPHA: (fact_add__eq__self__zero) implies:
% 290.45/57.27 | (178) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 290.45/57.27 | & ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 290.45/57.27 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v2) | ~
% 290.45/57.27 | $i(v2) | ~ $i(v1)))
% 290.45/57.27 |
% 290.45/57.27 | ALPHA: (fact_less__eq__nat_Osimps_I1_J) implies:
% 290.45/57.27 | (179) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 290.45/57.27 | & ? [v1: $i] : ( ~ $i(v1) |
% 290.45/57.27 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v1)))
% 290.45/57.27 |
% 290.45/57.27 | ALPHA: (fact_mult__0) implies:
% 290.45/57.27 | (180) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 290.45/57.27 | (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 &
% 290.45/57.27 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 & hAPP(v0, v1) = v2
% 290.45/57.27 | & $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : (v4 = v1 |
% 290.45/57.27 | ~ (hAPP(v2, v3) = v4) | ~ $i(v3)))
% 290.45/57.27 |
% 290.45/57.27 | ALPHA: (fact_mult__is__0) implies:
% 290.45/57.27 | (181) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 290.45/57.27 | = v1 & c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 & $i(v1) &
% 290.45/57.27 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v1 | ~
% 290.45/57.27 | (hAPP(v3, v2) = v4) | ~ (hAPP(v0, v1) = v3) | ~ $i(v2)) & !
% 290.45/57.27 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v1 | ~ (hAPP(v3, v1)
% 290.45/57.27 | = v4) | ~ (hAPP(v0, v2) = v3) | ~ $i(v2)) & ! [v2: $i] : !
% 290.45/57.27 | [v3: $i] : ! [v4: $i] : (v3 = v1 | v2 = v1 | ~ (hAPP(v4, v2) =
% 290.45/57.27 | v1) | ~ (hAPP(v0, v3) = v4) | ~ $i(v3) | ~ $i(v2)))
% 290.45/57.27 |
% 290.45/57.27 | ALPHA: (fact_mult__cancel2) implies:
% 290.45/57.27 | (182) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 290.45/57.27 | = v1 & c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 & $i(v1) &
% 290.45/57.27 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 290.45/57.27 | [v6: $i] : ! [v7: $i] : (v7 = v5 | ~ (hAPP(v6, v1) = v7) | ~
% 290.45/57.27 | (hAPP(v4, v1) = v5) | ~ (hAPP(v0, v3) = v4) | ~ (hAPP(v0, v2) =
% 290.45/57.27 | v6) | ~ $i(v3) | ~ $i(v2)) & ! [v2: $i] : ! [v3: $i] : !
% 290.45/57.27 | [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : (v4 = v2 | v3
% 290.45/57.27 | = v1 | ~ (hAPP(v7, v3) = v6) | ~ (hAPP(v5, v3) = v6) | ~
% 290.45/57.27 | (hAPP(v0, v4) = v5) | ~ (hAPP(v0, v2) = v7) | ~ $i(v4) | ~
% 290.45/57.27 | $i(v3) | ~ $i(v2)))
% 290.45/57.27 |
% 290.45/57.27 | ALPHA: (fact_diff__self__eq__0) implies:
% 290.45/57.27 | (183) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 290.45/57.27 | & ! [v1: $i] : ! [v2: $i] : (v2 = v0 | ~
% 290.45/57.27 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v1) = v2) | ~
% 290.45/57.27 | $i(v1)))
% 290.45/57.27 |
% 290.45/57.27 | ALPHA: (fact_minus__nat_Odiff__0) implies:
% 290.45/57.27 | (184) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 290.45/57.27 | & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~
% 290.45/57.27 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v2) | ~
% 290.45/57.27 | $i(v1)))
% 290.45/57.27 |
% 290.45/57.27 | ALPHA: (fact_nat__mult__1) implies:
% 290.45/57.27 | (185) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 290.45/57.27 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 290.45/57.27 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & hAPP(v0, v1) = v2 &
% 290.45/57.27 | $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : (v4 = v3 |
% 290.45/57.27 | ~ (hAPP(v2, v3) = v4) | ~ $i(v3)))
% 290.45/57.27 |
% 290.45/57.27 | ALPHA: (fact_nat__1__eq__mult__iff) implies:
% 290.45/57.27 | (186) ? [v0: $i] : ? [v1: $i] :
% 290.45/57.27 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v1 &
% 290.45/57.27 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v1) & $i(v0) & !
% 290.45/57.27 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v3 = v0 | ~ (hAPP(v4, v2)
% 290.45/57.27 | = v0) | ~ (hAPP(v1, v3) = v4) | ~ $i(v3) | ~ $i(v2)) & !
% 290.45/57.27 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v2 = v0 | ~ (hAPP(v4, v2)
% 290.45/57.27 | = v0) | ~ (hAPP(v1, v3) = v4) | ~ $i(v3) | ~ $i(v2)) & !
% 290.45/57.27 | [v2: $i] : ! [v3: $i] : (v3 = v0 | ~ (hAPP(v2, v0) = v3) | ~
% 290.45/57.27 | (hAPP(v1, v0) = v2)))
% 290.45/57.27 |
% 290.45/57.27 | ALPHA: (fact_nat__mult__1__right) implies:
% 290.45/57.27 | (187) ? [v0: $i] : ? [v1: $i] :
% 290.45/57.27 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 290.45/57.27 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v1) & $i(v0) & !
% 290.45/57.27 | [v2: $i] : ! [v3: $i] : ( ~ (hAPP(v0, v2) = v3) | ~ $i(v2) |
% 290.45/57.27 | hAPP(v3, v1) = v2))
% 290.45/57.27 |
% 290.45/57.27 | ALPHA: (fact_nat__mult__eq__1__iff) implies:
% 290.45/57.27 | (188) ? [v0: $i] : ? [v1: $i] :
% 290.45/57.27 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 290.45/57.27 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v1) & $i(v0) & !
% 290.45/57.27 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v3 = v1 | ~ (hAPP(v4, v2)
% 290.45/57.27 | = v1) | ~ (hAPP(v0, v3) = v4) | ~ $i(v3) | ~ $i(v2)) & !
% 290.45/57.27 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v2 = v1 | ~ (hAPP(v4, v2)
% 290.45/57.27 | = v1) | ~ (hAPP(v0, v3) = v4) | ~ $i(v3) | ~ $i(v2)) & !
% 290.45/57.27 | [v2: $i] : ! [v3: $i] : (v3 = v1 | ~ (hAPP(v2, v1) = v3) | ~
% 290.45/57.27 | (hAPP(v0, v1) = v2)))
% 290.45/57.27 |
% 290.45/57.27 | ALPHA: (fact_one__is__add) implies:
% 290.45/57.27 | (189) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 290.45/57.27 | = v0 & c_Nat_OSuc(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : !
% 290.45/57.27 | [v3: $i] : (v3 = v1 | v3 = v0 | ~
% 290.45/57.27 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v2) = v1) | ~
% 290.45/57.27 | $i(v3) | ~ $i(v2)) & ! [v2: $i] : ! [v3: $i] : (v3 = v1 | v2 =
% 290.45/57.27 | v1 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v2) = v1) |
% 290.45/57.27 | ~ $i(v3) | ~ $i(v2)) & ! [v2: $i] : ! [v3: $i] : (v3 = v0 |
% 290.45/57.27 | v2 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v2) =
% 290.45/57.27 | v1) | ~ $i(v3) | ~ $i(v2)) & ! [v2: $i] : ! [v3: $i] : (v2
% 290.45/57.27 | = v1 | v2 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3,
% 290.45/57.27 | v2) = v1) | ~ $i(v3) | ~ $i(v2)) & ! [v2: $i] : (v2 = v1 |
% 290.45/57.27 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2)) & !
% 290.45/57.27 | [v2: $i] : (v2 = v1 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,
% 290.45/57.27 | v0, v1) = v2)))
% 290.45/57.27 |
% 290.45/57.27 | ALPHA: (fact_mult__eq__1__iff) implies:
% 290.45/57.27 | (190) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 290.45/57.27 | (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 & c_Nat_OSuc(v1) = v2
% 290.45/57.27 | & c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 & $i(v2) & $i(v1)
% 290.45/57.27 | & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v4 = v2 | ~
% 290.45/57.27 | (hAPP(v5, v3) = v2) | ~ (hAPP(v0, v4) = v5) | ~ $i(v4) | ~
% 290.45/57.27 | $i(v3)) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v3 = v2 | ~
% 290.45/57.27 | (hAPP(v5, v3) = v2) | ~ (hAPP(v0, v4) = v5) | ~ $i(v4) | ~
% 290.45/57.27 | $i(v3)) & ! [v3: $i] : ! [v4: $i] : (v4 = v2 | ~ (hAPP(v3, v2)
% 290.45/57.27 | = v4) | ~ (hAPP(v0, v2) = v3)))
% 290.45/57.27 |
% 290.45/57.27 | ALPHA: (fact_One__nat__def) implies:
% 290.45/57.27 | (191) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 290.45/57.27 | = v1 & c_Nat_OSuc(v1) = v0 & c_Groups_Oone__class_Oone(tc_Nat_Onat)
% 290.45/57.27 | = v0 & $i(v1) & $i(v0))
% 290.45/57.27 |
% 290.45/57.27 | ALPHA: (fact_diff__is__0__eq_H) implies:
% 290.45/57.27 | (192) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 290.45/57.27 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 290.45/57.27 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v3) | ~
% 290.45/57.27 | $i(v2) | ~ $i(v1) | ~
% 290.45/57.27 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1)))
% 290.45/57.27 |
% 290.45/57.27 | ALPHA: (fact_diff__is__0__eq) implies:
% 290.45/57.27 | (193) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 290.45/57.27 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 290.45/57.27 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v3) | ~
% 290.45/57.27 | $i(v2) | ~ $i(v1) | ~
% 290.45/57.27 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1)) & ! [v1:
% 290.45/57.27 | $i] : ! [v2: $i] : ( ~
% 290.45/57.27 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v0) | ~
% 290.45/57.28 | $i(v2) | ~ $i(v1) |
% 290.45/57.28 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1)))
% 290.45/57.28 |
% 290.45/57.28 | ALPHA: (fact_mult__eq__self__implies__10) implies:
% 290.45/57.28 | (194) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 290.45/57.28 | (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v2 &
% 290.45/57.28 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 290.45/57.28 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v2) & $i(v1) &
% 290.45/57.28 | $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v4 = v2 | v3 =
% 290.45/57.28 | v1 | ~ (hAPP(v5, v3) = v4) | ~ (hAPP(v0, v4) = v5) | ~ $i(v4)
% 290.45/57.28 | | ~ $i(v3)))
% 290.45/57.28 |
% 290.45/57.28 | ALPHA: (fact_one__le__mult__iff) implies:
% 290.45/57.28 | (195) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 290.45/57.28 | (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & c_Nat_OSuc(v0) = v1
% 290.45/57.28 | & c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v2 & $i(v2) & $i(v1)
% 290.45/57.28 | & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] :
% 290.45/57.28 | ( ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v2, v4) = v5) | ~ $i(v4) | ~
% 290.45/57.28 | $i(v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1,
% 290.45/57.28 | v6) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v4)) &
% 290.45/57.28 | ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 290.45/57.28 | (hAPP(v5, v3) = v6) | ~ (hAPP(v2, v4) = v5) | ~ $i(v4) | ~
% 290.45/57.28 | $i(v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1,
% 290.45/57.28 | v6) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v3)) &
% 290.45/57.28 | ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 290.45/57.28 | (hAPP(v5, v3) = v6) | ~ (hAPP(v2, v4) = v5) | ~ $i(v4) | ~
% 290.45/57.28 | $i(v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1,
% 290.45/57.28 | v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v3)
% 290.45/57.28 | | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v6)))
% 290.45/57.28 |
% 290.45/57.28 | ALPHA: (fact_number__of2) implies:
% 290.45/57.28 | (196) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 290.45/57.28 | = v0 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls) =
% 290.45/57.28 | v1 & $i(v1) & $i(v0) &
% 290.45/57.28 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1))
% 290.45/57.28 |
% 290.45/57.28 | ALPHA: (fact_rabs__ratiotest__lemma) implies:
% 290.45/57.28 | (197) ? [v0: $i] : ? [v1: $i] :
% 290.45/57.28 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.45/57.28 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 & $i(v1) &
% 290.45/57.28 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 290.45/57.28 | [v6: $i] : ! [v7: $i] : ! [v8: $i] : (v3 = v0 | ~
% 290.45/57.28 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v3) = v5) | ~
% 290.45/57.28 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v2) = v7) | ~
% 290.45/57.28 | (hAPP(v6, v7) = v8) | ~ (hAPP(v1, v4) = v6) | ~ $i(v4) | ~
% 290.45/57.28 | $i(v3) | ~ $i(v2) | ~
% 290.45/57.28 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v8) | ~
% 290.45/57.28 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v0)))
% 290.45/57.28 |
% 290.45/57.28 | ALPHA: (fact_complex_Osize_I1_J) implies:
% 290.45/57.28 | (198) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 290.45/57.28 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 290.45/57.28 | (c_Complex_Ocomplex_OComplex(v2, v1) = v3) | ~ $i(v2) | ~
% 290.45/57.28 | $i(v1) | c_Complex_Ocomplex_Ocomplex__size(v3) = v0))
% 290.45/57.28 |
% 290.45/57.28 | ALPHA: (fact_nat__mult__eq__cancel__disj) implies:
% 290.45/57.28 | (199) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 290.45/57.28 | = v1 & c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 & $i(v1) &
% 290.45/57.28 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 290.45/57.28 | [v6: $i] : (v6 = v5 | ~ (hAPP(v4, v3) = v5) | ~ (hAPP(v4, v2) =
% 290.45/57.28 | v6) | ~ (hAPP(v0, v1) = v4) | ~ $i(v3) | ~ $i(v2)) & ! [v2:
% 290.45/57.28 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v4
% 290.45/57.28 | = v1 | v3 = v2 | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v6)
% 290.45/57.28 | | ~ (hAPP(v0, v4) = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2)))
% 290.45/57.28 |
% 290.45/57.28 | ALPHA: (fact_cos__x__y__le__one) implies:
% 290.45/57.28 | (200) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.45/57.28 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 &
% 290.45/57.28 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 290.45/57.28 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 &
% 290.45/57.28 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v4 & $i(v4) & $i(v3)
% 290.45/57.28 | & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : ! [v7:
% 290.45/57.28 | $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] :
% 290.45/57.28 | ! [v12: $i] : ! [v13: $i] : ( ~
% 290.45/57.28 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v6, v12) =
% 290.45/57.28 | v13) | ~ (c_NthRoot_Osqrt(v11) = v12) | ~
% 290.45/57.28 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v8, v10) = v11) |
% 290.45/57.28 | ~ (hAPP(v9, v3) = v10) | ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v0,
% 290.45/57.28 | v6) = v7) | ~ (hAPP(v0, v5) = v9) | ~ $i(v6) | ~ $i(v5) |
% 290.45/57.28 | ? [v14: $i] : (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v13) =
% 290.45/57.28 | v14 & $i(v14) &
% 290.45/57.28 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v14, v4))))
% 290.45/57.28 |
% 290.45/57.28 | ALPHA: (fact_complex_Osize_I2_J) implies:
% 290.45/57.28 | (201) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 290.45/57.28 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 290.45/57.28 | (c_Complex_Ocomplex_OComplex(v2, v1) = v3) | ~ $i(v2) | ~
% 290.45/57.28 | $i(v1) | c_Nat_Osize__class_Osize(tc_Complex_Ocomplex, v3) = v0))
% 290.45/57.28 |
% 290.45/57.28 | ALPHA: (fact_real__divide__square__eq) implies:
% 290.45/57.28 | (202) ? [v0: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 290.45/57.28 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 290.45/57.28 | [v5: $i] : ! [v6: $i] : ( ~
% 290.45/57.28 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v4, v5) = v6)
% 290.45/57.28 | | ~ (hAPP(v3, v2) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v0,
% 290.45/57.28 | v2) = v3) | ~ $i(v2) | ~ $i(v1) |
% 290.45/57.28 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v2) = v6 &
% 290.45/57.28 | $i(v6))))
% 290.45/57.28 |
% 290.45/57.28 | ALPHA: (fact_real__0__le__divide__iff) implies:
% 290.45/57.28 | (203) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.45/57.28 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 290.45/57.28 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v1) = v3)
% 290.45/57.28 | | ~ $i(v2) | ~ $i(v1) | ~
% 290.45/57.28 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0) | ~
% 290.45/57.28 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) |
% 290.45/57.28 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3)) & !
% 290.45/57.28 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 290.45/57.28 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v1) = v3)
% 290.45/57.28 | | ~ $i(v2) | ~ $i(v1) | ~
% 290.45/57.28 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0) | ~
% 290.45/57.28 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) |
% 290.45/57.28 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3)) & !
% 290.45/57.28 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 290.45/57.28 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v1) = v3)
% 290.45/57.28 | | ~ $i(v2) | ~ $i(v1) | ~
% 290.45/57.28 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) | ~
% 290.45/57.28 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1) |
% 290.45/57.28 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3)) & !
% 290.45/57.28 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 290.45/57.28 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v1) = v3)
% 290.45/57.28 | | ~ $i(v2) | ~ $i(v1) | ~
% 290.45/57.28 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) |
% 290.45/57.28 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0) |
% 290.45/57.28 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1)) & !
% 290.45/57.28 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 290.45/57.28 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v1) = v3)
% 290.45/57.28 | | ~ $i(v2) | ~ $i(v1) | ~
% 290.45/57.28 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) |
% 290.45/57.28 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) |
% 290.45/57.28 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2)) & !
% 290.45/57.28 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 290.45/57.28 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v1) = v3)
% 290.45/57.28 | | ~ $i(v2) | ~ $i(v1) | ~
% 290.45/57.28 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) | ~
% 290.45/57.28 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1) |
% 290.45/57.28 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3)))
% 290.45/57.28 |
% 290.45/57.28 | ALPHA: (fact_divide__numeral__1) implies:
% 290.45/57.28 | (204) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 290.45/57.28 | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v1 | ~
% 290.45/57.28 | (c_Rings_Oinverse__class_Odivide(v2, v1, v3) = v4) | ~
% 290.45/57.28 | (c_Int_Onumber__class_Onumber__of(v2, v0) = v3) | ~ $i(v2) | ~
% 290.45/57.28 | $i(v1) | ~ class_Fields_Ofield(v2) | ~
% 290.45/57.28 | class_Int_Onumber__ring(v2)))
% 290.45/57.28 |
% 290.45/57.28 | ALPHA: (fact_real__average__minus__second) implies:
% 290.45/57.28 | (205) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 290.45/57.28 | v0 & c_Int_OBit0(v0) = v1 &
% 290.45/57.28 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 290.45/57.28 | $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i]
% 290.45/57.28 | : ! [v6: $i] : ! [v7: $i] : ( ~
% 290.45/57.28 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v2) = v6)
% 290.45/57.28 | | ~ (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v6, v3) =
% 290.45/57.28 | v7) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v3)
% 290.45/57.28 | = v5) | ~ $i(v4) | ~ $i(v3) | ? [v8: $i] :
% 290.45/57.28 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v8, v2) = v7 &
% 290.45/57.28 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v4, v3) = v8 &
% 290.45/57.28 | $i(v8) & $i(v7))))
% 290.45/57.28 |
% 290.45/57.28 | ALPHA: (fact_real__average__minus__first) implies:
% 290.45/57.28 | (206) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 290.45/57.28 | v0 & c_Int_OBit0(v0) = v1 &
% 290.45/57.28 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 290.45/57.28 | $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i]
% 290.45/57.28 | : ! [v6: $i] : ! [v7: $i] : ( ~
% 290.45/57.28 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v2) = v6)
% 290.45/57.28 | | ~ (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v6, v4) =
% 290.45/57.28 | v7) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v3)
% 290.45/57.28 | = v5) | ~ $i(v4) | ~ $i(v3) | ? [v8: $i] :
% 290.45/57.28 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v8, v2) = v7 &
% 290.45/57.28 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v3, v4) = v8 &
% 290.45/57.28 | $i(v8) & $i(v7))))
% 290.45/57.28 |
% 290.45/57.28 | ALPHA: (fact_real__sum__of__halves) implies:
% 290.45/57.28 | (207) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 290.45/57.28 | v0 & c_Int_OBit0(v0) = v1 &
% 290.45/57.28 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 290.45/57.28 | $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i]
% 290.45/57.28 | : (v5 = v3 | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 290.45/57.28 | v3, v2) = v4) | ~
% 290.45/57.28 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v4) = v5) | ~
% 290.45/57.28 | $i(v3)))
% 290.45/57.28 |
% 290.45/57.28 | ALPHA: (fact_lemma__MVT) implies:
% 290.45/57.28 | (208) ? [v0: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 290.45/57.28 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 290.45/57.28 | [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] :
% 290.45/57.28 | ! [v10: $i] : ! [v11: $i] : ( ~
% 290.45/57.28 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v6, v7) = v8)
% 290.45/57.28 | | ~ (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v5, v10) =
% 290.45/57.28 | v11) | ~ (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v5,
% 290.45/57.28 | v4) = v6) | ~
% 290.45/57.28 | (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v1, v2) = v7) |
% 290.45/57.28 | ~ (hAPP(v9, v1) = v10) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(v3,
% 290.45/57.28 | v1) = v5) | ~ (hAPP(v0, v8) = v9) | ~ $i(v3) | ~ $i(v2) |
% 290.45/57.28 | ~ $i(v1) | ? [v12: $i] :
% 290.45/57.28 | (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v4, v12) = v11 &
% 290.45/57.28 | hAPP(v9, v2) = v12 & $i(v12) & $i(v11))))
% 290.45/57.28 |
% 290.45/57.28 | ALPHA: (fact_eq__divide__2__times__iff) implies:
% 290.45/57.28 | (209) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.45/57.28 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 290.45/57.28 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 290.45/57.28 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 290.45/57.28 | hAPP(v0, v3) = v4 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & !
% 290.45/57.28 | [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] :
% 290.45/57.28 | ! [v10: $i] : (v10 = v7 | ~
% 290.45/57.28 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v6, v9) = v10)
% 290.45/57.28 | | ~ (hAPP(v4, v7) = v8) | ~ (hAPP(v4, v5) = v9) | ~ $i(v7) |
% 290.45/57.28 | ~ $i(v6) | ~ $i(v5) | ? [v11: $i] : ( ~ (v11 = v8) &
% 290.45/57.28 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v6, v5) = v11
% 290.45/57.28 | & $i(v11))) & ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8:
% 290.45/57.28 | $i] : ! [v9: $i] : ( ~
% 290.45/57.28 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v6, v8) = v7)
% 290.45/57.28 | | ~ (hAPP(v4, v7) = v9) | ~ (hAPP(v4, v5) = v8) | ~ $i(v7) |
% 290.45/57.28 | ~ $i(v6) | ~ $i(v5) |
% 290.45/57.28 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v6, v5) = v9 &
% 290.45/57.28 | $i(v9))))
% 290.45/57.28 |
% 290.45/57.28 | ALPHA: (fact_arctan__half) implies:
% 290.45/57.28 | (210) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.45/57.28 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 290.45/57.28 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v6 &
% 290.45/57.28 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 290.45/57.28 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 290.45/57.28 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v7 &
% 290.45/57.28 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 290.45/57.28 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v5 & hAPP(v0, v3) =
% 290.45/57.28 | v4 & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 290.45/57.28 | $i(v0) & ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] :
% 290.45/57.28 | ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ( ~
% 290.45/57.28 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v8, v13) =
% 290.45/57.28 | v14) | ~ (c_NthRoot_Osqrt(v11) = v12) | ~
% 290.45/57.28 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v12) = v13) |
% 290.45/57.28 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v10) = v11)
% 290.45/57.28 | | ~ (hAPP(v9, v7) = v10) | ~ (hAPP(v6, v8) = v9) | ~ $i(v8) |
% 290.45/57.28 | ? [v15: $i] : ? [v16: $i] : (c_Transcendental_Oarctan(v14) = v16
% 290.45/57.28 | & c_Transcendental_Oarctan(v8) = v15 & hAPP(v4, v16) = v15 &
% 290.45/57.28 | $i(v16) & $i(v15))))
% 290.45/57.28 |
% 290.45/57.28 | ALPHA: (fact_lemma__sqrt__hcomplex__capprox) implies:
% 290.45/57.28 | (211) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.45/57.28 | ? [v5: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.45/57.28 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v4 &
% 290.45/57.28 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 290.45/57.28 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v5 &
% 290.45/57.28 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 290.45/57.28 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v6: $i] :
% 290.45/57.28 | ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11:
% 290.45/57.28 | $i] : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ( ~
% 290.45/57.28 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v8, v3) = v9)
% 290.45/57.28 | | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v11, v13) =
% 290.45/57.28 | v14) | ~ (hAPP(v12, v5) = v13) | ~ (hAPP(v10, v5) = v11) | ~
% 290.45/57.28 | (hAPP(v4, v7) = v10) | ~ (hAPP(v4, v6) = v12) | ~ $i(v8) | ~
% 290.45/57.28 | $i(v7) | ~ $i(v6) | ~
% 290.45/57.28 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7, v9) | ~
% 290.45/57.28 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v9) | ~
% 290.45/57.28 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v8) | ~
% 290.45/57.28 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v7) | ~
% 290.45/57.28 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v6) | ?
% 290.45/57.28 | [v15: $i] : (c_NthRoot_Osqrt(v14) = v15 & $i(v15) &
% 290.45/57.28 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v15, v8))))
% 290.45/57.28 |
% 290.45/57.28 | ALPHA: (fact_real__sqrt__sum__squares__less) implies:
% 290.45/57.28 | (212) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.45/57.28 | ? [v5: $i] : (c_NthRoot_Osqrt(v2) = v3 &
% 290.45/57.28 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v4 &
% 290.45/57.28 | c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v0) = v1 &
% 290.45/57.28 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v5 &
% 290.45/57.28 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 290.45/57.28 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v6: $i] :
% 290.45/57.28 | ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11:
% 290.45/57.28 | $i] : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ( ~
% 290.45/57.28 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v7, v3) = v9)
% 290.45/57.28 | | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v11, v13) =
% 290.45/57.28 | v14) | ~ (hAPP(v12, v5) = v13) | ~ (hAPP(v10, v5) = v11) | ~
% 290.45/57.28 | (hAPP(v4, v8) = v10) | ~ (hAPP(v4, v6) = v12) | ~ $i(v8) | ~
% 290.45/57.28 | $i(v7) | ~ $i(v6) | ? [v15: $i] : ? [v16: $i] : ? [v17: $i] :
% 290.45/57.28 | ((c_NthRoot_Osqrt(v14) = v17 & $i(v17) &
% 290.45/57.28 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v17, v7)) |
% 290.45/57.28 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v8) = v15 &
% 290.45/57.28 | $i(v15) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 290.45/57.28 | v15, v9)) | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,
% 290.45/57.28 | v6) = v16 & $i(v16) & ~
% 290.45/57.28 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v16, v9)))))
% 290.45/57.28 |
% 290.45/57.28 | ALPHA: (fact_arctan__zero__zero) implies:
% 290.45/57.28 | (213) ? [v0: $i] : (c_Transcendental_Oarctan(v0) = v0 &
% 290.45/57.28 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0))
% 290.45/57.28 |
% 290.45/57.28 | ALPHA: (fact_less__special_I3_J) implies:
% 290.45/57.28 | (214) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 290.45/57.28 | (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~ $i(v1) | ~
% 290.45/57.28 | $i(v0) | ~ class_Int_Onumber__ring(v1) | ~
% 290.45/57.28 | class_Rings_Olinordered__idom(v1) | ? [v3: $i] : (( ~
% 290.45/57.28 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, c_Int_OPls) |
% 290.45/57.28 | (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) &
% 290.45/57.28 | c_Orderings_Oord__class_Oless(v1, v2, v3))) &
% 290.45/57.28 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, c_Int_OPls) |
% 290.45/57.28 | (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ~
% 290.45/57.28 | c_Orderings_Oord__class_Oless(v1, v2, v3)))))
% 290.45/57.28 |
% 290.45/57.28 | ALPHA: (fact_one__less__power) implies:
% 290.45/57.28 | (215) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 290.45/57.28 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 290.45/57.28 | $i] : ! [v6: $i] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) |
% 290.45/57.28 | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ $i(v3) | ~
% 290.45/57.28 | $i(v2) | ~ $i(v1) | ~
% 290.45/57.28 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) | ~
% 290.45/57.28 | class_Rings_Olinordered__semidom(v3) | ? [v7: $i] :
% 290.45/57.28 | (c_Groups_Oone__class_Oone(v3) = v7 & $i(v7) & ( ~
% 290.45/57.28 | c_Orderings_Oord__class_Oless(v3, v7, v2) |
% 290.45/57.29 | c_Orderings_Oord__class_Oless(v3, v7, v6)))))
% 290.45/57.29 |
% 290.45/57.29 | ALPHA: (fact_less__le__not__le) implies:
% 290.45/57.29 | (216) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~
% 290.45/57.29 | $i(v0) | ~ class_Orderings_Opreorder(v2) | ~
% 290.45/57.29 | c_Orderings_Oord__class_Oless__eq(v2, v1, v0) |
% 290.45/57.29 | c_Orderings_Oord__class_Oless(v2, v1, v0) |
% 290.45/57.29 | c_Orderings_Oord__class_Oless__eq(v2, v0, v1))
% 290.45/57.29 |
% 290.45/57.29 | ALPHA: (fact_less__special_I4_J) implies:
% 290.45/57.29 | (217) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 290.45/57.29 | ! [v2: $i] : ! [v3: $i] : ( ~
% 290.45/57.29 | (c_Int_Onumber__class_Onumber__of(v2, v1) = v3) | ~ $i(v2) | ~
% 290.45/57.29 | $i(v1) | ~ class_Int_Onumber__ring(v2) | ~
% 290.45/57.29 | class_Rings_Olinordered__idom(v2) | ? [v4: $i] : (( ~
% 290.45/57.29 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) |
% 290.45/57.29 | (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) &
% 290.45/57.29 | c_Orderings_Oord__class_Oless(v2, v3, v4))) &
% 290.45/57.29 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) |
% 290.45/57.29 | (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) & ~
% 290.45/57.29 | c_Orderings_Oord__class_Oless(v2, v3, v4))))))
% 290.45/57.29 |
% 290.45/57.29 | ALPHA: (fact_less__special_I2_J) implies:
% 290.45/57.29 | (218) ? [v0: $i] : (c_Int_OBit1(c_Int_OPls) = v0 & $i(v0) & ! [v1: $i] :
% 290.45/57.29 | ! [v2: $i] : ! [v3: $i] : ( ~
% 290.45/57.29 | (c_Int_Onumber__class_Onumber__of(v2, v1) = v3) | ~ $i(v2) | ~
% 290.45/57.29 | $i(v1) | ~ class_Int_Onumber__ring(v2) | ~
% 290.45/57.29 | class_Rings_Olinordered__idom(v2) | ? [v4: $i] : (( ~
% 290.45/57.29 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1) |
% 290.45/57.29 | (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) &
% 290.45/57.29 | c_Orderings_Oord__class_Oless(v2, v4, v3))) &
% 290.45/57.29 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1) |
% 290.45/57.29 | (c_Groups_Oone__class_Oone(v2) = v4 & $i(v4) & ~
% 290.45/57.29 | c_Orderings_Oord__class_Oless(v2, v4, v3))))))
% 290.45/57.29 |
% 290.45/57.29 | ALPHA: (fact_real__mult__less__mono2) implies:
% 290.45/57.29 | (219) ? [v0: $i] : ? [v1: $i] :
% 290.45/57.29 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.45/57.29 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 & $i(v1) &
% 290.45/57.29 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 290.45/57.29 | [v6: $i] : ! [v7: $i] : ( ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2)
% 290.45/57.29 | = v7) | ~ (hAPP(v1, v4) = v5) | ~ $i(v4) | ~ $i(v3) | ~
% 290.45/57.29 | $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3,
% 290.45/57.29 | v2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 290.45/57.29 | v4) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v7)))
% 290.45/57.29 |
% 290.45/57.29 | ALPHA: (fact_real__mult__order) implies:
% 290.45/57.29 | (220) ? [v0: $i] : ? [v1: $i] :
% 290.45/57.29 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.45/57.29 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 & $i(v1) &
% 290.45/57.29 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (
% 290.45/57.29 | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v1, v3) = v4) | ~ $i(v3) | ~
% 290.45/57.29 | $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 290.45/57.29 | v3) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 290.45/57.29 | v2) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v5)))
% 290.45/57.29 |
% 290.45/57.29 | ALPHA: (fact_real__mult__less__iff1) implies:
% 290.45/57.29 | (221) ? [v0: $i] : ? [v1: $i] :
% 290.45/57.29 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.45/57.29 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 & $i(v1) &
% 290.45/57.29 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 290.45/57.29 | [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~ (hAPP(v7, v4) = v8) | ~
% 290.45/57.29 | (hAPP(v5, v4) = v6) | ~ (hAPP(v1, v3) = v5) | ~ (hAPP(v1, v2) =
% 290.45/57.29 | v7) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 290.45/57.29 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v8) | ~
% 290.45/57.29 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 290.45/57.29 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v2)) & !
% 290.45/57.29 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] :
% 290.45/57.29 | ! [v7: $i] : ! [v8: $i] : ( ~ (hAPP(v7, v4) = v8) | ~ (hAPP(v5,
% 290.45/57.29 | v4) = v6) | ~ (hAPP(v1, v3) = v5) | ~ (hAPP(v1, v2) = v7) |
% 290.45/57.29 | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 290.45/57.29 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v2) | ~
% 290.45/57.29 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 290.45/57.29 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v8)))
% 290.45/57.29 |
% 290.45/57.29 | ALPHA: (fact_not__real__square__gt__zero) implies:
% 290.45/57.29 | (222) ? [v0: $i] : ? [v1: $i] :
% 290.45/57.29 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.45/57.29 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 & $i(v1) &
% 290.45/57.29 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v2 = v0 | ~
% 290.45/57.29 | (hAPP(v3, v2) = v4) | ~ (hAPP(v1, v2) = v3) | ~ $i(v2) |
% 290.45/57.29 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4)) & !
% 290.45/57.29 | [v2: $i] : ! [v3: $i] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(v1, v0)
% 290.45/57.29 | = v2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 290.45/57.29 | v3)))
% 290.45/57.29 |
% 290.45/57.29 | ALPHA: (fact_norm__not__less__zero) implies:
% 290.45/57.29 | (223) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.45/57.29 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 290.45/57.29 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ $i(v2) | ~
% 290.45/57.29 | $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3,
% 290.45/57.29 | v0) | ~ class_RealVector_Oreal__normed__vector(v2)))
% 290.45/57.29 |
% 290.45/57.29 | ALPHA: (fact_real__sqrt__gt__0__iff) implies:
% 290.45/57.29 | (224) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.45/57.29 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (c_NthRoot_Osqrt(v1) = v2)
% 290.45/57.29 | | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 290.45/57.29 | v0, v2) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 290.45/57.29 | v1)) & ! [v1: $i] : ! [v2: $i] : ( ~ (c_NthRoot_Osqrt(v1) =
% 290.45/57.29 | v2) | ~ $i(v1) | ~
% 290.45/57.29 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) |
% 290.45/57.29 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2)))
% 290.45/57.29 |
% 290.45/57.29 | ALPHA: (fact_real__sqrt__lt__0__iff) implies:
% 290.45/57.29 | (225) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.45/57.29 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (c_NthRoot_Osqrt(v1) = v2)
% 290.45/57.29 | | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 290.45/57.29 | v2, v0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1,
% 290.45/57.29 | v0)) & ! [v1: $i] : ! [v2: $i] : ( ~ (c_NthRoot_Osqrt(v1) =
% 290.45/57.29 | v2) | ~ $i(v1) | ~
% 290.45/57.29 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) |
% 290.45/57.29 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v0)))
% 290.45/57.29 |
% 290.45/57.29 | ALPHA: (fact_real__sqrt__not__eq__zero) implies:
% 290.45/57.29 | (226) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.45/57.29 | $i(v0) & ! [v1: $i] : ( ~ (c_NthRoot_Osqrt(v1) = v0) | ~ $i(v1) |
% 290.45/57.29 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1)))
% 290.45/57.29 |
% 290.45/57.29 | ALPHA: (fact_real__sqrt__gt__zero) implies:
% 290.45/57.29 | (227) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.45/57.29 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (c_NthRoot_Osqrt(v1) = v2)
% 290.45/57.29 | | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 290.45/57.29 | v0, v1) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 290.45/57.29 | v2)))
% 290.45/57.29 |
% 290.45/57.29 | ALPHA: (fact_real__sqrt__lt__1__iff) implies:
% 290.45/57.29 | (228) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 290.45/57.29 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (c_NthRoot_Osqrt(v1) = v2)
% 290.45/57.29 | | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 290.45/57.29 | v2, v0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1,
% 290.45/57.29 | v0)) & ! [v1: $i] : ! [v2: $i] : ( ~ (c_NthRoot_Osqrt(v1) =
% 290.45/57.29 | v2) | ~ $i(v1) | ~
% 290.45/57.29 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) |
% 290.45/57.29 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v0)))
% 290.45/57.29 |
% 290.45/57.29 | ALPHA: (fact_real__sqrt__gt__1__iff) implies:
% 290.45/57.29 | (229) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 290.45/57.29 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (c_NthRoot_Osqrt(v1) = v2)
% 290.45/57.29 | | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 290.45/57.29 | v0, v2) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 290.45/57.29 | v1)) & ! [v1: $i] : ! [v2: $i] : ( ~ (c_NthRoot_Osqrt(v1) =
% 290.45/57.29 | v2) | ~ $i(v1) | ~
% 290.45/57.29 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1) |
% 290.45/57.29 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2)))
% 290.45/57.29 |
% 290.45/57.29 | ALPHA: (fact_zero__less__norm__iff) implies:
% 290.45/57.29 | (230) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.45/57.29 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 290.45/57.29 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ $i(v2) | ~
% 290.45/57.29 | $i(v1) | ~ class_RealVector_Oreal__normed__vector(v2) | ? [v4:
% 290.45/57.29 | $i] : (( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 290.45/57.29 | v3) | ( ~ (v4 = v1) & c_Groups_Ozero__class_Ozero(v2) = v4
% 290.45/57.29 | & $i(v4))) &
% 290.45/57.29 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) | (v4
% 290.45/57.29 | = v1 & c_Groups_Ozero__class_Ozero(v2) = v1)))))
% 290.45/57.29 |
% 290.45/57.29 | ALPHA: (fact_real__mult__le__cancel__iff1) implies:
% 290.45/57.29 | (231) ? [v0: $i] : ? [v1: $i] :
% 290.45/57.29 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.45/57.29 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 & $i(v1) &
% 290.45/57.29 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 290.45/57.29 | [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~ (hAPP(v7, v4) = v8) | ~
% 290.45/57.29 | (hAPP(v5, v4) = v6) | ~ (hAPP(v1, v3) = v5) | ~ (hAPP(v1, v2) =
% 290.45/57.29 | v7) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 290.45/57.29 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) | ~
% 290.45/57.29 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v8) |
% 290.45/57.29 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v2)) & !
% 290.45/57.29 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] :
% 290.45/57.29 | ! [v7: $i] : ! [v8: $i] : ( ~ (hAPP(v7, v4) = v8) | ~ (hAPP(v5,
% 290.45/57.29 | v4) = v6) | ~ (hAPP(v1, v3) = v5) | ~ (hAPP(v1, v2) = v7) |
% 290.45/57.29 | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 290.45/57.29 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) | ~
% 290.45/57.29 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v2) |
% 290.45/57.29 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v8)))
% 290.45/57.29 |
% 290.45/57.29 | ALPHA: (fact_real__mult__le__cancel__iff2) implies:
% 290.45/57.29 | (232) ? [v0: $i] : ? [v1: $i] :
% 290.45/57.29 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.45/57.29 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 & $i(v1) &
% 290.45/57.29 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 290.45/57.29 | [v6: $i] : ! [v7: $i] : ( ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2)
% 290.45/57.29 | = v7) | ~ (hAPP(v1, v4) = v5) | ~ $i(v4) | ~ $i(v3) | ~
% 290.45/57.29 | $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 290.45/57.29 | v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 290.45/57.29 | v6, v7) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 290.45/57.29 | v3, v2)) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 290.45/57.29 | $i] : ! [v6: $i] : ! [v7: $i] : ( ~ (hAPP(v5, v3) = v6) | ~
% 290.45/57.29 | (hAPP(v5, v2) = v7) | ~ (hAPP(v1, v4) = v5) | ~ $i(v4) | ~
% 290.45/57.29 | $i(v3) | ~ $i(v2) | ~
% 290.45/57.29 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) | ~
% 290.45/57.29 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v2) |
% 290.45/57.29 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v7)))
% 290.45/57.29 |
% 290.45/57.29 | ALPHA: (fact_norm__mult__less) implies:
% 290.45/57.29 | (233) ? [v0: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 290.45/57.29 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 290.45/57.29 | [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] :
% 290.45/57.29 | ! [v10: $i] : ! [v11: $i] : ( ~
% 290.45/57.29 | (c_RealVector_Onorm__class_Onorm(v5, v8) = v9) | ~
% 290.45/57.29 | (c_Groups_Otimes__class_Otimes(v5) = v6) | ~ (hAPP(v10, v1) =
% 290.45/57.29 | v11) | ~ (hAPP(v7, v2) = v8) | ~ (hAPP(v6, v4) = v7) | ~
% 290.45/57.29 | (hAPP(v0, v3) = v10) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~
% 290.45/57.29 | $i(v2) | ~ $i(v1) | ~
% 290.45/57.29 | class_RealVector_Oreal__normed__algebra(v5) |
% 290.45/57.29 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9, v11) | ?
% 290.45/57.29 | [v12: $i] : ? [v13: $i] : ((c_RealVector_Onorm__class_Onorm(v5,
% 290.45/57.29 | v4) = v12 & $i(v12) & ~
% 290.45/57.29 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12, v3)) |
% 290.45/57.29 | (c_RealVector_Onorm__class_Onorm(v5, v2) = v13 & $i(v13) & ~
% 290.45/57.29 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v13, v1)))))
% 290.45/57.29 |
% 290.45/57.29 | ALPHA: (fact_abs__add__one__not__less__self) implies:
% 290.45/57.29 | (234) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 290.45/57.29 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~
% 290.45/57.29 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1) = v2) | ~
% 290.45/57.29 | $i(v1) | ? [v3: $i] :
% 290.45/57.29 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v0) = v3 &
% 290.45/57.29 | $i(v3) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3,
% 290.45/57.29 | v1))))
% 290.45/57.29 |
% 290.45/57.29 | ALPHA: (fact_arctan__add) implies:
% 290.45/57.29 | (235) ? [v0: $i] : ? [v1: $i] :
% 290.45/57.29 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 290.45/57.29 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 290.45/57.29 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 290.45/57.29 | $i] : ! [v7: $i] : ! [v8: $i] : ( ~
% 290.45/57.29 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v4, v7) = v8)
% 290.45/57.29 | | ~ (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v0, v6) =
% 290.45/57.29 | v7) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v2)
% 290.45/57.29 | = v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v1, v3) = v5) | ~
% 290.45/57.29 | $i(v3) | ~ $i(v2) | ? [v9: $i] : ? [v10: $i] : ? [v11: $i] :
% 290.45/57.29 | ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : ((v14 = v13 &
% 290.45/57.29 | c_Transcendental_Oarctan(v8) = v13 &
% 290.45/57.29 | c_Transcendental_Oarctan(v3) = v11 &
% 290.45/57.29 | c_Transcendental_Oarctan(v2) = v12 &
% 290.45/57.29 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v11, v12) = v13
% 290.45/57.29 | & $i(v13) & $i(v12) & $i(v11)) |
% 290.45/57.29 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v3) = v9 & $i(v9)
% 290.45/57.29 | & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v9,
% 290.45/57.29 | v0)) | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v2) =
% 290.45/57.29 | v10 & $i(v10) & ~
% 290.45/57.29 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10, v0)))))
% 290.45/57.29 |
% 290.45/57.29 | ALPHA: (fact_abs__add__one__gt__zero) implies:
% 290.45/57.29 | (236) ? [v0: $i] : ? [v1: $i] :
% 290.45/57.29 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.45/57.29 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0)
% 290.45/57.29 | & ! [v2: $i] : ! [v3: $i] : ( ~
% 290.45/57.29 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v2) = v3) | ~
% 290.45/57.29 | $i(v2) | ? [v4: $i] :
% 290.45/57.29 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v3) = v4 &
% 290.45/57.29 | $i(v4) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 290.45/57.29 | v4))))
% 290.45/57.29 |
% 290.45/57.29 | ALPHA: (fact_half__gt__zero__iff) implies:
% 290.45/57.29 | (237) ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 290.45/57.29 | c_Int_OBit0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i]
% 290.45/57.29 | : ! [v4: $i] : ! [v5: $i] : ( ~
% 290.45/57.29 | (c_Rings_Oinverse__class_Odivide(v3, v2, v4) = v5) | ~
% 290.45/57.29 | (c_Int_Onumber__class_Onumber__of(v3, v1) = v4) | ~ $i(v3) | ~
% 290.45/57.29 | $i(v2) | ~ class_Fields_Olinordered__field__inverse__zero(v3) |
% 290.45/57.29 | ~ class_Int_Onumber__ring(v3) | ? [v6: $i] :
% 290.45/57.29 | (c_Groups_Ozero__class_Ozero(v3) = v6 & $i(v6) & ( ~
% 290.45/57.29 | c_Orderings_Oord__class_Oless(v3, v6, v5) |
% 290.45/57.29 | c_Orderings_Oord__class_Oless(v3, v6, v2)) & ( ~
% 290.45/57.29 | c_Orderings_Oord__class_Oless(v3, v6, v2) |
% 290.45/57.29 | c_Orderings_Oord__class_Oless(v3, v6, v5)))))
% 290.45/57.29 |
% 290.45/57.29 | ALPHA: (fact_half__gt__zero) implies:
% 290.45/57.29 | (238) ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 290.45/57.29 | c_Int_OBit0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i]
% 290.45/57.29 | : ! [v4: $i] : ! [v5: $i] : ( ~
% 290.45/57.29 | (c_Rings_Oinverse__class_Odivide(v3, v2, v4) = v5) | ~
% 290.45/57.29 | (c_Int_Onumber__class_Onumber__of(v3, v1) = v4) | ~ $i(v3) | ~
% 290.45/57.29 | $i(v2) | ~ class_Fields_Olinordered__field__inverse__zero(v3) |
% 290.45/57.29 | ~ class_Int_Onumber__ring(v3) | ? [v6: $i] :
% 290.45/57.29 | (c_Groups_Ozero__class_Ozero(v3) = v6 & $i(v6) & ( ~
% 290.45/57.29 | c_Orderings_Oord__class_Oless(v3, v6, v2) |
% 290.45/57.29 | c_Orderings_Oord__class_Oless(v3, v6, v5)))))
% 290.45/57.29 |
% 290.45/57.29 | ALPHA: (fact_power2__less__0) implies:
% 290.45/57.29 | (239) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 290.45/57.29 | v0 & c_Int_OBit0(v0) = v1 &
% 290.45/57.29 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 290.45/57.29 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 290.45/57.29 | $i] : ( ~ (c_Power_Opower__class_Opower(v4) = v5) | ~ (hAPP(v5,
% 290.45/57.29 | v3) = v6) | ~ $i(v4) | ~ $i(v3) | ~
% 290.45/57.29 | class_Rings_Olinordered__idom(v4) | ? [v7: $i] : ? [v8: $i] :
% 290.45/57.29 | (c_Groups_Ozero__class_Ozero(v4) = v8 & hAPP(v6, v2) = v7 &
% 290.45/57.29 | $i(v8) & $i(v7) & ~ c_Orderings_Oord__class_Oless(v4, v7,
% 290.45/57.29 | v8))))
% 290.45/57.29 |
% 290.45/57.29 | ALPHA: (fact_zero__less__power2) implies:
% 290.45/57.29 | (240) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 290.45/57.29 | v0 & c_Int_OBit0(v0) = v1 &
% 290.45/57.29 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 290.45/57.29 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 290.45/57.29 | $i] : ( ~ (c_Power_Opower__class_Opower(v4) = v5) | ~ (hAPP(v5,
% 290.45/57.29 | v3) = v6) | ~ $i(v4) | ~ $i(v3) | ~
% 290.45/57.29 | class_Rings_Olinordered__idom(v4) | ? [v7: $i] : ? [v8: $i] :
% 290.45/57.29 | (c_Groups_Ozero__class_Ozero(v4) = v7 & $i(v7) & ( ~ (v7 = v3) |
% 290.45/57.29 | (hAPP(v6, v2) = v8 & $i(v8) & ~
% 290.45/57.29 | c_Orderings_Oord__class_Oless(v4, v3, v8))) & (v7 = v3 |
% 290.45/57.29 | (hAPP(v6, v2) = v8 & $i(v8) &
% 290.45/57.29 | c_Orderings_Oord__class_Oless(v4, v7, v8))))))
% 290.45/57.29 |
% 290.45/57.29 | ALPHA: (fact_real__sqrt__two__gt__zero) implies:
% 290.45/57.29 | (241) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.45/57.29 | (c_NthRoot_Osqrt(v3) = v4 &
% 290.45/57.29 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.45/57.29 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 290.45/57.29 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 290.45/57.29 | $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 290.45/57.29 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4))
% 290.45/57.29 |
% 290.45/57.29 | ALPHA: (fact_real__less__half__sum) implies:
% 290.45/57.29 | (242) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 290.45/57.29 | v0 & c_Int_OBit0(v0) = v1 &
% 290.45/57.29 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 290.45/57.29 | $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i]
% 290.45/57.29 | : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v3) = v5)
% 290.45/57.29 | | ~ $i(v4) | ~ $i(v3) | ~
% 290.45/57.29 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v3) | ? [v6:
% 290.45/57.29 | $i] : (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5,
% 290.45/57.29 | v2) = v6 & $i(v6) &
% 290.45/57.29 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v6))))
% 290.45/57.29 |
% 290.45/57.29 | ALPHA: (fact_real__gt__half__sum) implies:
% 290.45/57.29 | (243) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 290.45/57.29 | v0 & c_Int_OBit0(v0) = v1 &
% 290.45/57.29 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v1) = v2 &
% 290.45/57.29 | $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i]
% 290.45/57.29 | : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v3) = v5)
% 290.45/57.29 | | ~ $i(v4) | ~ $i(v3) | ~
% 290.45/57.29 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v3) | ? [v6:
% 290.45/57.29 | $i] : (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5,
% 290.45/57.29 | v2) = v6 & $i(v6) &
% 290.45/57.29 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v3))))
% 290.45/57.29 |
% 290.45/57.30 | ALPHA: (fact_real__sqrt__two__gt__one) implies:
% 290.45/57.30 | (244) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.45/57.30 | (c_NthRoot_Osqrt(v3) = v4 & c_Int_OBit1(c_Int_OPls) = v1 &
% 290.45/57.30 | c_Int_OBit0(v1) = v2 &
% 290.45/57.30 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 290.45/57.30 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v4) & $i(v3)
% 290.45/57.30 | & $i(v2) & $i(v1) & $i(v0) &
% 290.45/57.30 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4))
% 290.45/57.30 |
% 290.45/57.30 | ALPHA: (fact_power2__less__imp__less) implies:
% 290.45/57.30 | (245) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 290.45/57.30 | v0 & c_Int_OBit0(v0) = v1 &
% 290.45/57.30 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 290.45/57.30 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 290.45/57.30 | $i] : ! [v7: $i] : ! [v8: $i] : ( ~
% 290.45/57.30 | (c_Power_Opower__class_Opower(v5) = v6) | ~ (hAPP(v6, v4) = v7)
% 290.45/57.30 | | ~ (hAPP(v6, v3) = v8) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~
% 290.45/57.30 | class_Rings_Olinordered__semidom(v5) |
% 290.45/57.30 | c_Orderings_Oord__class_Oless(v5, v4, v3) | ? [v9: $i] : ?
% 290.45/57.30 | [v10: $i] : ? [v11: $i] : ((c_Groups_Ozero__class_Ozero(v5) =
% 290.45/57.30 | v11 & $i(v11) & ~ c_Orderings_Oord__class_Oless__eq(v5, v11,
% 290.45/57.30 | v3)) | (hAPP(v8, v2) = v10 & hAPP(v7, v2) = v9 & $i(v10) &
% 290.45/57.30 | $i(v9) & ~ c_Orderings_Oord__class_Oless(v5, v9, v10)))))
% 290.45/57.30 |
% 290.45/57.30 | ALPHA: (fact_half) implies:
% 290.45/57.30 | (246) ? [v0: $i] : ? [v1: $i] : (c_Int_OBit1(c_Int_OPls) = v0 &
% 290.45/57.30 | c_Int_OBit0(v0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i]
% 290.45/57.30 | : ! [v4: $i] : ! [v5: $i] : ( ~
% 290.45/57.30 | (c_Rings_Oinverse__class_Odivide(v2, v3, v4) = v5) | ~
% 290.45/57.30 | (c_Int_Onumber__class_Onumber__of(v2, v1) = v4) | ~
% 290.45/57.30 | (c_Groups_Oone__class_Oone(v2) = v3) | ~ $i(v2) | ~
% 290.45/57.30 | class_Fields_Olinordered__field__inverse__zero(v2) | ~
% 290.45/57.30 | class_Int_Onumber__ring(v2) | ? [v6: $i] :
% 290.45/57.30 | (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) &
% 290.45/57.30 | c_Orderings_Oord__class_Oless(v2, v6, v5))))
% 290.45/57.30 |
% 290.45/57.30 | ALPHA: (fact_not__sum__power2__lt__zero) implies:
% 290.45/57.30 | (247) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 290.45/57.30 | v0 & c_Int_OBit0(v0) = v1 &
% 290.45/57.30 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 290.45/57.30 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 290.45/57.30 | $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : !
% 290.45/57.30 | [v11: $i] : ( ~ (c_Groups_Oplus__class_Oplus(v5, v8, v10) = v11) |
% 290.45/57.30 | ~ (c_Power_Opower__class_Opower(v5) = v6) | ~ (hAPP(v9, v2) =
% 290.45/57.30 | v10) | ~ (hAPP(v7, v2) = v8) | ~ (hAPP(v6, v4) = v7) | ~
% 290.45/57.30 | (hAPP(v6, v3) = v9) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~
% 290.45/57.30 | class_Rings_Olinordered__idom(v5) | ? [v12: $i] :
% 290.45/57.30 | (c_Groups_Ozero__class_Ozero(v5) = v12 & $i(v12) & ~
% 290.45/57.30 | c_Orderings_Oord__class_Oless(v5, v11, v12))))
% 290.45/57.30 |
% 290.45/57.30 | ALPHA: (fact_sum__power2__gt__zero__iff) implies:
% 290.45/57.30 | (248) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (c_Int_OBit1(c_Int_OPls) =
% 290.45/57.30 | v0 & c_Int_OBit0(v0) = v1 &
% 290.45/57.30 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 290.45/57.30 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 290.45/57.30 | $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : !
% 290.45/57.30 | [v11: $i] : ( ~ (c_Groups_Oplus__class_Oplus(v5, v8, v10) = v11) |
% 290.45/57.30 | ~ (c_Power_Opower__class_Opower(v5) = v6) | ~ (hAPP(v9, v2) =
% 290.45/57.30 | v10) | ~ (hAPP(v7, v2) = v8) | ~ (hAPP(v6, v4) = v7) | ~
% 290.45/57.30 | (hAPP(v6, v3) = v9) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~
% 290.45/57.30 | class_Rings_Olinordered__idom(v5) | ? [v12: $i] :
% 290.45/57.30 | (c_Groups_Ozero__class_Ozero(v5) = v12 & $i(v12) & ( ~ (v12 = v3)
% 290.45/57.30 | | ~ (v4 = v3) | ~ c_Orderings_Oord__class_Oless(v5, v3,
% 290.45/57.30 | v11)) & (c_Orderings_Oord__class_Oless(v5, v12, v11) | (v12
% 290.45/57.30 | = v3 & v4 = v3)))))
% 290.45/57.30 |
% 290.45/57.30 | ALPHA: (fact_real__sqrt__pow2__gt__zero) implies:
% 290.45/57.30 | (249) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.45/57.30 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.45/57.30 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v1 &
% 290.45/57.30 | c_Int_OBit1(c_Int_OPls) = v2 & c_Int_OBit0(v2) = v3 &
% 290.45/57.30 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v3) = v4 & $i(v4) &
% 290.45/57.30 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : ( ~
% 290.45/57.30 | (c_NthRoot_Osqrt(v5) = v6) | ~ $i(v5) | ~
% 290.45/57.30 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v5) | ? [v7:
% 290.45/57.30 | $i] : ? [v8: $i] : (hAPP(v7, v4) = v8 & hAPP(v1, v6) = v7 &
% 290.45/57.30 | $i(v8) & $i(v7) &
% 290.45/57.30 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v8))))
% 290.45/57.30 |
% 290.45/57.30 | ALPHA: (fact_lemma__real__divide__sqrt__less) implies:
% 290.45/57.30 | (250) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.45/57.30 | (c_NthRoot_Osqrt(v3) = v4 &
% 290.45/57.30 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.45/57.30 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 290.45/57.30 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 290.45/57.30 | $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6:
% 290.45/57.30 | $i] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5,
% 290.45/57.30 | v4) = v6) | ~ $i(v5) | ~
% 290.45/57.30 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v5) |
% 290.45/57.30 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v5)))
% 290.45/57.30 |
% 290.45/57.30 | ALPHA: (fact_less__one__imp__sqr__less__one) implies:
% 290.45/57.30 | (251) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.45/57.30 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v1 &
% 290.45/57.30 | c_Int_OBit1(c_Int_OPls) = v2 & c_Int_OBit0(v2) = v3 &
% 290.45/57.30 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v3) = v4 &
% 290.45/57.30 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v4) & $i(v3)
% 290.45/57.30 | & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : ( ~
% 290.45/57.30 | (hAPP(v1, v5) = v6) | ~ $i(v5) | ? [v7: $i] : ? [v8: $i] :
% 290.45/57.30 | ((c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v5) = v7 & $i(v7) &
% 290.45/57.30 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7, v0)) |
% 290.45/57.30 | (hAPP(v6, v4) = v8 & $i(v8) &
% 290.45/57.30 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v0)))))
% 290.45/57.30 |
% 290.45/57.30 | ALPHA: (fact_odd__power__less__zero) implies:
% 290.45/57.30 | (252) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.45/57.30 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 290.45/57.30 | c_Int_OBit1(c_Int_OPls) = v1 & c_Int_OBit0(v1) = v2 &
% 290.45/57.30 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & hAPP(v0,
% 290.45/57.30 | v3) = v4 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5:
% 290.45/57.30 | $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : !
% 290.45/57.30 | [v10: $i] : ! [v11: $i] : ! [v12: $i] : ( ~ (c_Nat_OSuc(v10) =
% 290.45/57.30 | v11) | ~ (c_Power_Opower__class_Opower(v7) = v8) | ~
% 290.45/57.30 | (hAPP(v9, v11) = v12) | ~ (hAPP(v8, v6) = v9) | ~ (hAPP(v4, v5)
% 290.45/57.30 | = v10) | ~ $i(v7) | ~ $i(v6) | ~ $i(v5) | ~
% 290.45/57.30 | class_Rings_Olinordered__idom(v7) | ? [v13: $i] :
% 290.45/57.30 | (c_Groups_Ozero__class_Ozero(v7) = v13 & $i(v13) & ( ~
% 290.45/57.30 | c_Orderings_Oord__class_Oless(v7, v6, v13) |
% 290.45/57.30 | c_Orderings_Oord__class_Oless(v7, v12, v13)))))
% 290.45/57.30 |
% 290.45/57.30 | ALPHA: (fact_machin) implies:
% 290.45/57.30 | (253) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.45/57.30 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 290.45/57.30 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 290.45/57.30 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] :
% 290.45/57.30 | ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] :
% 290.45/57.30 | (c_Transcendental_Oarctan(v21) = v22 & c_Transcendental_Oarctan(v10)
% 290.45/57.30 | = v11 & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v7, v20)
% 290.45/57.30 | = v21 & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v7, v9) =
% 290.45/57.30 | v10 & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 290.45/57.30 | c_Transcendental_Opi, v3) = v4 &
% 290.45/57.30 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v12, v22) = v4 &
% 290.45/57.30 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v5 &
% 290.45/57.30 | c_Int_OBit1(v18) = v19 & c_Int_OBit1(v17) = v18 & c_Int_OBit1(v16)
% 290.45/57.30 | = v17 & c_Int_OBit1(v15) = v16 & c_Int_OBit1(v13) = v14 &
% 290.45/57.30 | c_Int_OBit1(v1) = v8 & c_Int_OBit1(v0) = v13 &
% 290.45/57.30 | c_Int_OBit1(c_Int_OPls) = v0 & c_Int_OBit0(v14) = v15 &
% 290.45/57.30 | c_Int_OBit0(v1) = v2 & c_Int_OBit0(v0) = v1 &
% 290.45/57.30 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v19) = v20 &
% 290.45/57.30 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v8) = v9 &
% 290.45/57.30 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v3 &
% 290.45/57.30 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v7 & hAPP(v6, v11) =
% 290.45/57.30 | v12 & hAPP(v5, v3) = v6 & $i(v22) & $i(v21) & $i(v20) & $i(v19) &
% 290.45/57.30 | $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12)
% 290.45/57.30 | & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) &
% 290.45/57.30 | $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 290.45/57.30 |
% 290.45/57.30 | ALPHA: (fact_natceiling__add__one) implies:
% 290.45/57.30 | (254) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 290.45/57.30 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.45/57.30 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v2 &
% 290.45/57.30 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & $i(v2) & $i(v1)
% 290.45/57.30 | & $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~
% 290.45/57.30 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v1) = v4) | ~
% 290.45/57.30 | $i(v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 290.45/57.30 | v0, v3) | ? [v5: $i] : ? [v6: $i] :
% 290.45/57.30 | (c_RComplete_Onatceiling(v4) = v5 & c_RComplete_Onatceiling(v3) =
% 290.45/57.30 | v6 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v6, v2) = v5 &
% 290.45/57.30 | $i(v6) & $i(v5))))
% 290.45/57.30 |
% 290.45/57.30 | ALPHA: (fact_zero__less__Suc) implies:
% 290.45/57.30 | (255) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 290.45/57.30 | & ! [v1: $i] : ! [v2: $i] : ( ~ (c_Nat_OSuc(v1) = v2) | ~ $i(v1)
% 290.45/57.30 | | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2)))
% 290.45/57.30 |
% 290.45/57.30 | ALPHA: (fact_pi__not__less__zero) implies:
% 290.45/57.30 | (256) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.45/57.30 | $i(v0) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 290.45/57.30 | c_Transcendental_Opi, v0))
% 290.45/57.30 |
% 290.45/57.30 | ALPHA: (fact_pi__gt__zero) implies:
% 290.45/57.30 | (257) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.45/57.30 | $i(v0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 290.45/57.30 | c_Transcendental_Opi))
% 290.45/57.30 |
% 290.45/57.30 | ALPHA: (fact_not__less0) implies:
% 290.45/57.30 | (258) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 290.45/57.30 | & ! [v1: $i] : ( ~ $i(v1) | ~
% 290.45/57.30 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0)))
% 290.45/57.30 |
% 290.45/57.30 | ALPHA: (fact_rel__simps_I7_J) implies:
% 290.45/57.30 | (259) $i(c_Int_OMin)
% 290.45/57.30 |
% 290.45/57.30 | ALPHA: (fact_less__0__number__of) implies:
% 290.45/57.30 | (260) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 290.45/57.30 | & ! [v1: $i] : ! [v2: $i] : ( ~
% 290.45/57.30 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~
% 290.45/57.30 | $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 290.45/57.30 | c_Int_OPls, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 290.45/57.30 | v0, v2)) & ! [v1: $i] : ! [v2: $i] : ( ~
% 290.45/57.30 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~
% 290.45/57.30 | $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) |
% 290.45/57.30 | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v1)))
% 290.45/57.30 |
% 290.45/57.30 | ALPHA: (fact_pi__ge__zero) implies:
% 290.45/57.30 | (261) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 290.45/57.30 | $i(v0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 290.45/57.30 | c_Transcendental_Opi))
% 290.45/57.30 |
% 290.45/57.30 | ALPHA: (fact_pi__neq__zero) implies:
% 290.45/57.30 | (262) $i(c_Transcendental_Opi)
% 290.45/57.30 | (263) ? [v0: $i] : ( ~ (v0 = c_Transcendental_Opi) &
% 290.45/57.30 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0))
% 290.45/57.30 |
% 290.45/57.30 | ALPHA: (fact_bin__less__0__simps_I4_J) implies:
% 290.45/57.30 | (264) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 290.45/57.30 | & ! [v1: $i] : ! [v2: $i] : ( ~ (c_Int_OBit1(v1) = v2) | ~
% 290.45/57.30 | $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0) |
% 290.45/57.30 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0)) & ! [v1: $i]
% 290.45/57.30 | : ! [v2: $i] : ( ~ (c_Int_OBit1(v1) = v2) | ~ $i(v1) | ~
% 290.45/57.30 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) |
% 290.45/57.30 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0)))
% 290.45/57.30 |
% 290.45/57.30 | ALPHA: (fact_bin__less__0__simps_I1_J) implies:
% 290.45/57.30 | (265) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 290.45/57.30 | & ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0))
% 290.45/57.30 |
% 290.45/57.30 | ALPHA: (fact_bin__less__0__simps_I3_J) implies:
% 290.45/57.30 | (266) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v0 & $i(v0)
% 290.45/57.30 | & ! [v1: $i] : ! [v2: $i] : ( ~ (c_Int_OBit0(v1) = v2) | ~
% 290.45/57.30 | $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0) |
% 290.45/57.30 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0)) & ! [v1: $i]
% 290.45/57.30 | : ! [v2: $i] : ( ~ (c_Int_OBit0(v1) = v2) | ~ $i(v1) | ~
% 290.45/57.30 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) |
% 290.45/57.30 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v0)))
% 290.45/57.30 |
% 290.45/57.30 | ALPHA: (fact_less__Suc__eq__0__disj) implies:
% 290.45/57.30 | (267) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 290.45/57.30 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 290.45/57.30 | (c_Nat_OSuc(v4) = v2) | ~ (c_Nat_OSuc(v1) = v3) | ~ $i(v4) | ~
% 290.45/57.30 | $i(v2) | ~ $i(v1) | ~
% 290.45/57.30 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v1) |
% 290.45/57.30 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v3)) & ! [v1: $i]
% 290.45/57.30 | : ! [v2: $i] : ! [v3: $i] : (v2 = v0 | ~ (c_Nat_OSuc(v1) = v3) |
% 290.45/57.30 | ~ $i(v2) | ~ $i(v1) | ~
% 290.45/57.30 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v3) | ? [v4: $i]
% 290.45/57.30 | : (c_Nat_OSuc(v4) = v2 & $i(v4) &
% 290.45/57.30 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v1))) & ! [v1:
% 290.45/57.30 | $i] : ! [v2: $i] : ( ~ (c_Nat_OSuc(v1) = v2) | ~ $i(v1) |
% 290.45/57.30 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2)))
% 290.45/57.30 |
% 290.45/57.30 | ALPHA: (fact_less__Suc0) implies:
% 290.45/57.30 | (268) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 290.45/57.30 | = v0 & c_Nat_OSuc(v0) = v1 & $i(v1) & $i(v0) &
% 290.45/57.30 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) & ! [v2: $i] :
% 290.45/57.30 | (v2 = v0 | ~ $i(v2) | ~
% 290.45/57.30 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1)))
% 290.45/57.30 |
% 290.45/57.30 | ALPHA: (fact_gr0__conv__Suc) implies:
% 290.45/57.30 | (269) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 290.45/57.30 | & ! [v1: $i] : ! [v2: $i] : ( ~ (c_Nat_OSuc(v2) = v1) | ~ $i(v2)
% 290.45/57.30 | | ~ $i(v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1))
% 290.45/57.30 | & ! [v1: $i] : ( ~ $i(v1) | ~
% 290.45/57.30 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) | ? [v2: $i]
% 290.45/57.30 | : (c_Nat_OSuc(v2) = v1 & $i(v2))))
% 290.45/57.30 |
% 290.45/57.30 | ALPHA: (fact_nat__lt__two__imp__zero__or__one) implies:
% 290.45/57.30 | (270) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 290.45/57.30 | (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & c_Nat_OSuc(v1) = v2
% 290.45/57.30 | & c_Nat_OSuc(v0) = v1 & $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] :
% 290.45/57.30 | (v3 = v1 | v3 = v0 | ~ $i(v3) | ~
% 290.45/57.30 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v2)))
% 290.45/57.30 |
% 290.45/57.30 | ALPHA: (fact_add__gr__0) implies:
% 290.45/57.30 | (271) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 290.45/57.30 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 290.45/57.30 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ~
% 290.45/57.30 | $i(v2) | ~ $i(v1) | ~
% 290.45/57.30 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) |
% 290.45/57.30 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) |
% 290.45/57.30 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1)) & ! [v1: $i]
% 290.45/57.30 | : ! [v2: $i] : ! [v3: $i] : ( ~
% 290.45/57.30 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ~
% 290.45/57.30 | $i(v2) | ~ $i(v1) | ~
% 290.45/57.30 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) |
% 290.45/57.30 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3)) & ! [v1: $i]
% 290.45/57.30 | : ! [v2: $i] : ! [v3: $i] : ( ~
% 290.45/57.30 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ~
% 290.45/57.30 | $i(v2) | ~ $i(v1) | ~
% 290.45/57.30 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1) |
% 290.45/57.30 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3)))
% 290.45/57.30 |
% 290.45/57.30 | ALPHA: (fact_int__0__less__1) implies:
% 290.45/57.30 | (272) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 290.45/57.30 | = v0 & c_Groups_Oone__class_Oone(tc_Int_Oint) = v1 & $i(v1) &
% 290.45/57.30 | $i(v0) & c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1))
% 290.45/57.30 |
% 290.45/57.30 | ALPHA: (fact_nat__0__less__mult__iff) implies:
% 290.45/57.30 | (273) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 290.45/57.30 | = v0 & c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v1 & $i(v1) &
% 290.45/57.30 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (
% 290.45/57.30 | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v1, v3) = v4) | ~ $i(v3) | ~
% 290.45/57.30 | $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v5) |
% 290.45/57.30 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3)) & ! [v2: $i]
% 290.45/57.30 | : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v4, v2) = v5)
% 290.45/57.30 | | ~ (hAPP(v1, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~
% 290.45/57.30 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v5) |
% 290.45/57.30 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2)) & ! [v2: $i]
% 290.45/57.30 | : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v4, v2) = v5)
% 290.45/57.30 | | ~ (hAPP(v1, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~
% 290.45/57.30 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) | ~
% 290.45/57.30 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) |
% 290.45/57.30 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v5)))
% 290.45/57.30 |
% 290.45/57.30 | ALPHA: (fact_mult__less__cancel1) implies:
% 290.45/57.31 | (274) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 290.45/57.31 | = v1 & c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 & $i(v1) &
% 290.45/57.31 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 290.45/57.31 | [v6: $i] : ! [v7: $i] : ( ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2)
% 290.45/57.31 | = v7) | ~ (hAPP(v0, v4) = v5) | ~ $i(v4) | ~ $i(v3) | ~
% 290.45/57.31 | $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v6, v7) |
% 290.45/57.31 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v2)) & ! [v2: $i]
% 290.45/57.31 | : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 290.45/57.31 | $i] : ( ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v7) | ~
% 290.45/57.31 | (hAPP(v0, v4) = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 290.45/57.31 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v6, v7) |
% 290.45/57.31 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v4)) & ! [v2: $i]
% 290.45/57.31 | : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 290.45/57.31 | $i] : ( ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v7) | ~
% 290.45/57.31 | (hAPP(v0, v4) = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 290.45/57.31 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v2) | ~
% 290.45/57.31 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v4) |
% 290.45/57.31 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v6, v7)))
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (fact_mult__less__cancel2) implies:
% 290.45/57.31 | (275) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 290.45/57.31 | = v1 & c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 & $i(v1) &
% 290.45/57.31 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 290.45/57.31 | [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~ (hAPP(v7, v3) = v8) | ~
% 290.45/57.31 | (hAPP(v5, v3) = v6) | ~ (hAPP(v0, v4) = v5) | ~ (hAPP(v0, v2) =
% 290.45/57.31 | v7) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 290.45/57.31 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v6, v8) |
% 290.45/57.31 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v2)) & ! [v2: $i]
% 290.45/57.31 | : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 290.45/57.31 | $i] : ! [v8: $i] : ( ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v5, v3) =
% 290.45/57.31 | v6) | ~ (hAPP(v0, v4) = v5) | ~ (hAPP(v0, v2) = v7) | ~
% 290.45/57.31 | $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 290.45/57.31 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v6, v8) |
% 290.45/57.31 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v3)) & ! [v2: $i]
% 290.45/57.31 | : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 290.45/57.31 | $i] : ! [v8: $i] : ( ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v5, v3) =
% 290.45/57.31 | v6) | ~ (hAPP(v0, v4) = v5) | ~ (hAPP(v0, v2) = v7) | ~
% 290.45/57.31 | $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 290.45/57.31 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v2) | ~
% 290.45/57.31 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v3) |
% 290.45/57.31 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v6, v8)))
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (fact_mult__less__mono1) implies:
% 290.45/57.31 | (276) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 290.45/57.31 | = v0 & c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v1 & $i(v1) &
% 290.45/57.31 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 290.45/57.31 | [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~ (hAPP(v7, v2) = v8) | ~
% 290.45/57.31 | (hAPP(v5, v2) = v6) | ~ (hAPP(v1, v4) = v5) | ~ (hAPP(v1, v3) =
% 290.45/57.31 | v7) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 290.45/57.31 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v3) | ~
% 290.45/57.31 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) |
% 290.45/57.31 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v6, v8)))
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (fact_mult__less__mono2) implies:
% 290.45/57.31 | (277) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 290.45/57.31 | = v0 & c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v1 & $i(v1) &
% 290.45/57.31 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 290.45/57.31 | [v6: $i] : ! [v7: $i] : ( ~ (hAPP(v5, v4) = v6) | ~ (hAPP(v5, v3)
% 290.45/57.31 | = v7) | ~ (hAPP(v1, v2) = v5) | ~ $i(v4) | ~ $i(v3) | ~
% 290.45/57.31 | $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v3) |
% 290.45/57.31 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) |
% 290.45/57.31 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v6, v7)))
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (arity_Int__Oint__Orderings_Opreorder) implies:
% 290.45/57.31 | (278) class_Orderings_Opreorder(tc_Int_Oint)
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (arity_Int__Oint__Groups_Oone) implies:
% 290.45/57.31 | (279) $i(tc_Int_Oint)
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero)
% 290.45/57.31 | implies:
% 290.45/57.31 | (280) class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal)
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (arity_RealDef__Oreal__Rings_Olinordered__semiring__strict) implies:
% 290.45/57.31 | (281) class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal)
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs) implies:
% 290.45/57.31 | (282) class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal)
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add) implies:
% 290.45/57.31 | (283) class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal)
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (arity_RealDef__Oreal__Rings_Oring__1__no__zero__divisors) implies:
% 290.45/57.31 | (284) class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal)
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (arity_RealDef__Oreal__Rings_Oordered__cancel__semiring) implies:
% 290.45/57.31 | (285) class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal)
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (arity_RealDef__Oreal__Rings_Olinordered__ring__strict) implies:
% 290.45/57.31 | (286) class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal)
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (arity_RealDef__Oreal__Rings_Oring__no__zero__divisors) implies:
% 290.45/57.31 | (287) class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal)
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (arity_RealDef__Oreal__Rings_Olinordered__semidom) implies:
% 290.45/57.31 | (288) class_Rings_Olinordered__semidom(tc_RealDef_Oreal)
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (arity_RealDef__Oreal__Fields_Olinordered__field) implies:
% 290.45/57.31 | (289) class_Fields_Olinordered__field(tc_RealDef_Oreal)
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (arity_RealDef__Oreal__Rings_Ono__zero__divisors) implies:
% 290.45/57.31 | (290) class_Rings_Ono__zero__divisors(tc_RealDef_Oreal)
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (arity_RealDef__Oreal__Rings_Olinordered__idom) implies:
% 290.45/57.31 | (291) class_Rings_Olinordered__idom(tc_RealDef_Oreal)
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (arity_RealDef__Oreal__Rings_Ozero__neq__one) implies:
% 290.45/57.31 | (292) class_Rings_Ozero__neq__one(tc_RealDef_Oreal)
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (arity_RealDef__Oreal__Rings_Oordered__ring) implies:
% 290.45/57.31 | (293) class_Rings_Oordered__ring(tc_RealDef_Oreal)
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (arity_RealDef__Oreal__Rings_Omult__zero) implies:
% 290.45/57.31 | (294) class_Rings_Omult__zero(tc_RealDef_Oreal)
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (arity_RealDef__Oreal__Int_Onumber__ring) implies:
% 290.45/57.31 | (295) class_Int_Onumber__ring(tc_RealDef_Oreal)
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (arity_RealDef__Oreal__Power_Opower) implies:
% 290.45/57.31 | (296) class_Power_Opower(tc_RealDef_Oreal)
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (arity_Complex__Ocomplex__RealVector_Oreal__normed__vector) implies:
% 290.45/57.31 | (297) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (arity_Complex__Ocomplex__Groups_Oone) implies:
% 290.45/57.31 | (298) $i(tc_Complex_Ocomplex)
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (conj_0) implies:
% 290.45/57.31 | (299) $i(tc_RealDef_Oreal)
% 290.45/57.31 | (300) $i(v_x____)
% 290.45/57.31 | (301) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 290.45/57.31 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 290.45/57.31 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] :
% 290.45/57.31 | (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 &
% 290.45/57.31 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 290.45/57.31 | c_Int_OBit1(c_Int_OPls) = v2 & c_Int_OBit0(v2) = v3 &
% 290.45/57.31 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v3) = v9 &
% 290.45/57.31 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v3) = v4 &
% 290.45/57.31 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v6) = v7 &
% 290.45/57.31 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v11 & hAPP(v12, v9) =
% 290.45/57.31 | v13 & hAPP(v8, v9) = v10 & hAPP(v5, v_x____) = v6 & hAPP(v1, v4) =
% 290.45/57.31 | v5 & hAPP(v0, v11) = v12 & hAPP(v0, v7) = v8 & $i(v13) & $i(v12) &
% 290.45/57.31 | $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) &
% 290.45/57.31 | $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ~
% 290.45/57.31 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, v13))
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (function-axioms) implies:
% 290.45/57.31 | (302) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 290.45/57.31 | (c_Groups_Oone__class_Oone(v2) = v1) | ~
% 290.45/57.31 | (c_Groups_Oone__class_Oone(v2) = v0))
% 290.45/57.31 | (303) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 290.45/57.31 | (c_Int_OBit0(v2) = v1) | ~ (c_Int_OBit0(v2) = v0))
% 290.45/57.31 | (304) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 290.45/57.31 | (c_Int_OBit1(v2) = v1) | ~ (c_Int_OBit1(v2) = v0))
% 290.45/57.31 | (305) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 290.45/57.31 | (c_Groups_Otimes__class_Otimes(v2) = v1) | ~
% 290.45/57.31 | (c_Groups_Otimes__class_Otimes(v2) = v0))
% 290.45/57.31 | (306) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 290.45/57.31 | (c_Power_Opower__class_Opower(v2) = v1) | ~
% 290.45/57.31 | (c_Power_Opower__class_Opower(v2) = v0))
% 290.45/57.31 | (307) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 290.45/57.31 | (c_Nat_OSuc(v2) = v1) | ~ (c_Nat_OSuc(v2) = v0))
% 290.45/57.31 | (308) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 290.45/57.31 | (c_Groups_Ozero__class_Ozero(v2) = v1) | ~
% 290.45/57.31 | (c_Groups_Ozero__class_Ozero(v2) = v0))
% 290.45/57.31 | (309) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 290.45/57.31 | (hAPP(v3, v2) = v1) | ~ (hAPP(v3, v2) = v0))
% 290.45/57.31 | (310) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 290.45/57.31 | (c_Groups_Oabs__class_Oabs(v3, v2) = v1) | ~
% 290.45/57.31 | (c_Groups_Oabs__class_Oabs(v3, v2) = v0))
% 290.45/57.31 | (311) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 290.45/57.31 | (c_Int_Onumber__class_Onumber__of(v3, v2) = v1) | ~
% 290.45/57.31 | (c_Int_Onumber__class_Onumber__of(v3, v2) = v0))
% 290.45/57.31 |
% 290.45/57.31 | DELTA: instantiating (115) with fresh symbol all_627_0 gives:
% 290.45/57.31 | (312) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_627_0 &
% 290.45/57.31 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OPls) = all_627_0
% 290.45/57.31 | & $i(all_627_0)
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (312) implies:
% 290.45/57.31 | (313) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_627_0
% 290.45/57.31 |
% 290.45/57.31 | DELTA: instantiating (257) with fresh symbol all_631_0 gives:
% 290.45/57.31 | (314) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_631_0 &
% 290.45/57.31 | $i(all_631_0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 290.45/57.31 | all_631_0, c_Transcendental_Opi)
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (314) implies:
% 290.45/57.31 | (315) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_631_0
% 290.45/57.31 |
% 290.45/57.31 | DELTA: instantiating (261) with fresh symbol all_633_0 gives:
% 290.45/57.31 | (316) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_633_0 &
% 290.45/57.31 | $i(all_633_0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 290.45/57.31 | all_633_0, c_Transcendental_Opi)
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (316) implies:
% 290.45/57.31 | (317) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_633_0
% 290.45/57.31 |
% 290.45/57.31 | DELTA: instantiating (91) with fresh symbol all_635_0 gives:
% 290.45/57.31 | (318) c_NthRoot_Osqrt(all_635_0) = all_635_0 &
% 290.45/57.31 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_635_0 &
% 290.45/57.31 | $i(all_635_0)
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (318) implies:
% 290.45/57.31 | (319) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_635_0
% 290.45/57.31 |
% 290.45/57.31 | DELTA: instantiating (265) with fresh symbol all_641_0 gives:
% 290.45/57.31 | (320) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_641_0 & $i(all_641_0)
% 290.45/57.31 | & ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls,
% 290.45/57.31 | all_641_0)
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (320) implies:
% 290.45/57.31 | (321) $i(all_641_0)
% 290.45/57.31 | (322) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_641_0
% 290.45/57.31 |
% 290.45/57.31 | DELTA: instantiating (213) with fresh symbol all_643_0 gives:
% 290.45/57.31 | (323) c_Transcendental_Oarctan(all_643_0) = all_643_0 &
% 290.45/57.31 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_643_0 &
% 290.45/57.31 | $i(all_643_0)
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (323) implies:
% 290.45/57.31 | (324) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_643_0
% 290.45/57.31 |
% 290.45/57.31 | DELTA: instantiating (116) with fresh symbol all_645_0 gives:
% 290.45/57.31 | (325) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_645_0 &
% 290.45/57.31 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls) = all_645_0
% 290.45/57.31 | & $i(all_645_0)
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (325) implies:
% 290.45/57.31 | (326) c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls) = all_645_0
% 290.45/57.31 | (327) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_645_0
% 290.45/57.31 |
% 290.45/57.31 | DELTA: instantiating (263) with fresh symbol all_647_0 gives:
% 290.45/57.31 | (328) ~ (all_647_0 = c_Transcendental_Opi) &
% 290.45/57.31 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_647_0 &
% 290.45/57.31 | $i(all_647_0)
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (328) implies:
% 290.45/57.31 | (329) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_647_0
% 290.45/57.31 |
% 290.45/57.31 | DELTA: instantiating (73) with fresh symbol all_649_0 gives:
% 290.45/57.31 | (330) c_NthRoot_Osqrt(all_649_0) = all_649_0 &
% 290.45/57.31 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_649_0 &
% 290.45/57.31 | $i(all_649_0)
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (330) implies:
% 290.45/57.31 | (331) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_649_0
% 290.45/57.31 |
% 290.45/57.31 | DELTA: instantiating (256) with fresh symbol all_653_0 gives:
% 290.45/57.31 | (332) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_653_0 &
% 290.45/57.31 | $i(all_653_0) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 290.45/57.31 | c_Transcendental_Opi, all_653_0)
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (332) implies:
% 290.45/57.31 | (333) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_653_0
% 290.45/57.31 |
% 290.45/57.31 | DELTA: instantiating (155) with fresh symbol all_655_0 gives:
% 290.45/57.31 | (334) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_655_0 & $i(all_655_0)
% 290.45/57.31 | & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_655_0,
% 290.45/57.31 | all_655_0)
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (334) implies:
% 290.45/57.31 | (335) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_655_0
% 290.45/57.31 |
% 290.45/57.31 | DELTA: instantiating (34) with fresh symbol all_657_0 gives:
% 290.45/57.31 | (336) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_z) = all_657_0
% 290.45/57.31 | & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_657_0 &
% 290.45/57.31 | $i(all_657_0)
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (336) implies:
% 290.45/57.31 | (337) $i(all_657_0)
% 290.45/57.31 | (338) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_657_0
% 290.45/57.31 | (339) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_z) = all_657_0
% 290.45/57.31 |
% 290.45/57.31 | DELTA: instantiating (176) with fresh symbol all_665_0 gives:
% 290.45/57.31 | (340) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_665_0 & $i(all_665_0)
% 290.45/57.31 | & ! [v0: $i] : ( ~ (c_Nat_OSuc(v0) = all_665_0) | ~ $i(v0))
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (340) implies:
% 290.45/57.31 | (341) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_665_0
% 290.45/57.31 |
% 290.45/57.31 | DELTA: instantiating (176) with fresh symbol all_668_0 gives:
% 290.45/57.31 | (342) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_668_0 & $i(all_668_0)
% 290.45/57.31 | & ! [v0: $i] : ( ~ (c_Nat_OSuc(v0) = all_668_0) | ~ $i(v0))
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (342) implies:
% 290.45/57.31 | (343) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_668_0
% 290.45/57.31 |
% 290.45/57.31 | DELTA: instantiating (176) with fresh symbol all_671_0 gives:
% 290.45/57.31 | (344) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_671_0 & $i(all_671_0)
% 290.45/57.31 | & ! [v0: $i] : ( ~ (c_Nat_OSuc(v0) = all_671_0) | ~ $i(v0))
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (344) implies:
% 290.45/57.31 | (345) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_671_0
% 290.45/57.31 |
% 290.45/57.31 | DELTA: instantiating (176) with fresh symbol all_676_0 gives:
% 290.45/57.31 | (346) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_676_0 & $i(all_676_0)
% 290.45/57.31 | & ! [v0: $i] : ( ~ (c_Nat_OSuc(v0) = all_676_0) | ~ $i(v0))
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (346) implies:
% 290.45/57.31 | (347) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_676_0
% 290.45/57.31 |
% 290.45/57.31 | DELTA: instantiating (179) with fresh symbol all_679_0 gives:
% 290.45/57.31 | (348) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_679_0 & $i(all_679_0)
% 290.45/57.31 | & ? [v0: $i] : ( ~ $i(v0) |
% 290.45/57.31 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_679_0, v0))
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (348) implies:
% 290.45/57.31 | (349) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_679_0
% 290.45/57.31 |
% 290.45/57.31 | DELTA: instantiating (176) with fresh symbol all_681_0 gives:
% 290.45/57.31 | (350) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_681_0 & $i(all_681_0)
% 290.45/57.31 | & ! [v0: $i] : ( ~ (c_Nat_OSuc(v0) = all_681_0) | ~ $i(v0))
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (350) implies:
% 290.45/57.31 | (351) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_681_0
% 290.45/57.31 |
% 290.45/57.31 | DELTA: instantiating (176) with fresh symbol all_684_0 gives:
% 290.45/57.31 | (352) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_684_0 & $i(all_684_0)
% 290.45/57.31 | & ! [v0: $i] : ( ~ (c_Nat_OSuc(v0) = all_684_0) | ~ $i(v0))
% 290.45/57.31 |
% 290.45/57.31 | ALPHA: (352) implies:
% 290.45/57.31 | (353) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_684_0
% 290.45/57.31 |
% 290.45/57.31 | DELTA: instantiating (258) with fresh symbol all_687_0 gives:
% 290.45/57.31 | (354) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_687_0 & $i(all_687_0)
% 290.45/57.31 | & ! [v0: $i] : ( ~ $i(v0) | ~
% 290.45/57.32 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, all_687_0))
% 290.45/57.32 |
% 290.45/57.32 | ALPHA: (354) implies:
% 290.45/57.32 | (355) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_687_0
% 290.45/57.32 |
% 290.45/57.32 | DELTA: instantiating (179) with fresh symbol all_694_0 gives:
% 290.45/57.32 | (356) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_694_0 & $i(all_694_0)
% 290.45/57.32 | & ? [v0: $i] : ( ~ $i(v0) |
% 290.45/57.32 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_694_0, v0))
% 290.45/57.32 |
% 290.45/57.32 | ALPHA: (356) implies:
% 290.45/57.32 | (357) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_694_0
% 290.45/57.32 |
% 290.45/57.32 | DELTA: instantiating (258) with fresh symbol all_701_0 gives:
% 290.45/57.32 | (358) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_701_0 & $i(all_701_0)
% 290.45/57.32 | & ! [v0: $i] : ( ~ $i(v0) | ~
% 290.45/57.32 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, all_701_0))
% 290.45/57.32 |
% 290.45/57.32 | ALPHA: (358) implies:
% 290.45/57.32 | (359) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_701_0
% 290.45/57.32 |
% 290.45/57.32 | DELTA: instantiating (96) with fresh symbols all_707_0, all_707_1 gives:
% 290.45/57.32 | (360) ~ (all_707_0 = all_707_1) &
% 290.45/57.32 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_707_1 &
% 290.45/57.32 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_707_0 &
% 290.45/57.32 | $i(all_707_0) & $i(all_707_1)
% 290.45/57.32 |
% 290.45/57.32 | ALPHA: (360) implies:
% 290.45/57.32 | (361) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_707_0
% 290.45/57.32 | (362) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_707_1
% 290.45/57.32 |
% 290.45/57.32 | DELTA: instantiating (49) with fresh symbols all_709_0, all_709_1 gives:
% 290.45/57.32 | (363) c_Int_OBit1(c_Int_OPls) = all_709_0 &
% 290.45/57.32 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, all_709_0) = all_709_1
% 290.45/57.32 | & c_Groups_Oone__class_Oone(tc_Int_Oint) = all_709_1 & $i(all_709_0)
% 290.45/57.32 | & $i(all_709_1)
% 290.45/57.32 |
% 290.45/57.32 | ALPHA: (363) implies:
% 290.45/57.32 | (364) c_Int_OBit1(c_Int_OPls) = all_709_0
% 290.45/57.32 |
% 290.45/57.32 | DELTA: instantiating (255) with fresh symbol all_713_0 gives:
% 290.45/57.32 | (365) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_713_0 & $i(all_713_0)
% 290.45/57.32 | & ! [v0: $i] : ! [v1: $i] : ( ~ (c_Nat_OSuc(v0) = v1) | ~ $i(v0) |
% 290.45/57.32 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_713_0, v1))
% 290.45/57.32 |
% 290.45/57.32 | ALPHA: (365) implies:
% 290.45/57.32 | (366) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_713_0
% 290.45/57.32 |
% 290.45/57.32 | DELTA: instantiating (226) with fresh symbol all_720_0 gives:
% 290.45/57.32 | (367) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_720_0 &
% 290.45/57.32 | $i(all_720_0) & ! [v0: $i] : ( ~ (c_NthRoot_Osqrt(v0) = all_720_0) |
% 290.45/57.32 | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 290.45/57.32 | all_720_0, v0))
% 290.45/57.32 |
% 290.45/57.32 | ALPHA: (367) implies:
% 290.45/57.32 | (368) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_720_0
% 290.45/57.32 |
% 290.45/57.32 | DELTA: instantiating (62) with fresh symbols all_723_0, all_723_1 gives:
% 290.45/57.32 | (369) ~ (all_723_0 = all_723_1) & c_Groups_Ozero__class_Ozero(tc_Int_Oint)
% 290.45/57.32 | = all_723_1 & c_Groups_Oone__class_Oone(tc_Int_Oint) = all_723_0 &
% 290.45/57.32 | $i(all_723_0) & $i(all_723_1)
% 290.45/57.32 |
% 290.45/57.32 | ALPHA: (369) implies:
% 290.45/57.32 | (370) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_723_1
% 290.45/57.32 |
% 290.45/57.32 | DELTA: instantiating (20) with fresh symbols all_725_0, all_725_1 gives:
% 290.45/57.32 | (371) c_Int_OBit1(c_Int_OPls) = all_725_0 &
% 290.45/57.32 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_725_0) = all_725_1
% 290.45/57.32 | & c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_725_1 & $i(all_725_0)
% 290.45/57.32 | & $i(all_725_1)
% 290.45/57.32 |
% 290.45/57.32 | ALPHA: (371) implies:
% 290.45/57.32 | (372) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_725_1
% 290.45/57.32 | (373) c_Int_OBit1(c_Int_OPls) = all_725_0
% 290.45/57.32 |
% 290.45/57.32 | DELTA: instantiating (69) with fresh symbol all_727_0 gives:
% 290.45/57.32 | (374) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_727_0 & $i(all_727_0)
% 290.45/57.32 | & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~
% 290.45/57.32 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_727_0) = v1) | ~
% 290.45/57.32 | $i(v0))
% 290.45/57.32 |
% 290.45/57.32 | ALPHA: (374) implies:
% 290.45/57.32 | (375) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_727_0
% 290.45/57.32 |
% 290.45/57.32 | DELTA: instantiating (71) with fresh symbols all_730_0, all_730_1 gives:
% 290.45/57.32 | (376) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_730_1 &
% 290.45/57.32 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_730_0 &
% 290.45/57.32 | c_Complex_Ocomplex_OComplex(all_730_0, all_730_0) = all_730_1 &
% 290.45/57.32 | $i(all_730_0) & $i(all_730_1)
% 290.45/57.32 |
% 290.45/57.32 | ALPHA: (376) implies:
% 290.45/57.32 | (377) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_730_0
% 290.45/57.32 |
% 290.45/57.32 | DELTA: instantiating (272) with fresh symbols all_733_0, all_733_1 gives:
% 290.45/57.32 | (378) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_733_1 &
% 290.45/57.32 | c_Groups_Oone__class_Oone(tc_Int_Oint) = all_733_0 & $i(all_733_0) &
% 290.45/57.32 | $i(all_733_1) & c_Orderings_Oord__class_Oless(tc_Int_Oint, all_733_1,
% 290.45/57.32 | all_733_0)
% 290.45/57.32 |
% 290.45/57.32 | ALPHA: (378) implies:
% 290.45/57.32 | (379) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_733_1
% 290.45/57.32 |
% 290.45/57.32 | DELTA: instantiating (19) with fresh symbols all_735_0, all_735_1 gives:
% 290.45/57.32 | (380) c_Int_OBit1(c_Int_OPls) = all_735_1 &
% 290.45/57.32 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_735_1) = all_735_0
% 290.45/57.32 | & c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_735_0 & $i(all_735_0)
% 290.45/57.32 | & $i(all_735_1)
% 290.45/57.32 |
% 290.45/57.32 | ALPHA: (380) implies:
% 290.45/57.32 | (381) c_Int_OBit1(c_Int_OPls) = all_735_1
% 290.45/57.32 |
% 290.45/57.32 | DELTA: instantiating (184) with fresh symbol all_737_0 gives:
% 290.45/57.32 | (382) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_737_0 & $i(all_737_0)
% 290.45/57.32 | & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~
% 290.45/57.32 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, all_737_0) = v1) |
% 290.45/57.32 | ~ $i(v0))
% 290.45/57.32 |
% 290.45/57.32 | ALPHA: (382) implies:
% 290.45/57.32 | (383) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_737_0
% 290.45/57.32 |
% 290.45/57.32 | DELTA: instantiating (159) with fresh symbols all_740_0, all_740_1 gives:
% 290.45/57.32 | (384) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_740_1 &
% 290.45/57.32 | c_Groups_Oone__class_Oone(tc_Int_Oint) = all_740_0 & $i(all_740_0) &
% 290.45/57.32 | $i(all_740_1) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 290.45/57.32 | all_740_1, all_740_0)
% 290.45/57.32 |
% 290.45/57.32 | ALPHA: (384) implies:
% 290.45/57.32 | (385) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_740_1
% 290.45/57.32 |
% 290.45/57.32 | DELTA: instantiating (183) with fresh symbol all_746_0 gives:
% 290.45/57.32 | (386) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_746_0 & $i(all_746_0)
% 290.45/57.32 | & ! [v0: $i] : ! [v1: int] : (v1 = all_746_0 | ~
% 290.45/57.32 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v0) = v1) | ~
% 290.45/57.32 | $i(v0))
% 290.45/57.32 |
% 290.45/57.32 | ALPHA: (386) implies:
% 290.45/57.32 | (387) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_746_0
% 290.45/57.32 |
% 290.45/57.32 | DELTA: instantiating (154) with fresh symbols all_749_0, all_749_1 gives:
% 290.45/57.32 | (388) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_749_1 &
% 290.45/57.32 | c_Complex_Ocomplex_OComplex(all_749_1, all_749_0) = c_Complex_Oii &
% 290.45/57.32 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_749_0 &
% 290.45/57.32 | $i(all_749_0) & $i(all_749_1)
% 290.45/57.32 |
% 290.45/57.32 | ALPHA: (388) implies:
% 290.45/57.32 | (389) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_749_0
% 290.45/57.32 | (390) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_749_1
% 290.45/57.32 |
% 290.45/57.32 | DELTA: instantiating (191) with fresh symbols all_757_0, all_757_1 gives:
% 290.45/57.32 | (391) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_757_0 &
% 290.45/57.32 | c_Nat_OSuc(all_757_0) = all_757_1 &
% 290.45/57.32 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_757_1 & $i(all_757_0) &
% 290.45/57.32 | $i(all_757_1)
% 290.45/57.32 |
% 290.45/57.32 | ALPHA: (391) implies:
% 290.45/57.32 | (392) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_757_1
% 290.45/57.32 | (393) c_Nat_OSuc(all_757_0) = all_757_1
% 290.45/57.32 | (394) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_757_0
% 290.45/57.32 |
% 290.45/57.32 | DELTA: instantiating (196) with fresh symbols all_762_0, all_762_1 gives:
% 290.45/57.32 | (395) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_762_1 &
% 290.45/57.32 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls) = all_762_0
% 290.45/57.32 | & $i(all_762_0) & $i(all_762_1) &
% 290.45/57.32 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_762_1, all_762_0)
% 290.45/57.32 |
% 290.45/57.32 | ALPHA: (395) implies:
% 290.45/57.32 | (396) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_762_1
% 290.45/57.32 |
% 290.45/57.32 | DELTA: instantiating (70) with fresh symbol all_764_0 gives:
% 290.45/57.32 | (397) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_764_0 & $i(all_764_0)
% 290.45/57.32 | & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~
% 290.45/57.32 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_764_0, v0) = v1) | ~
% 290.45/57.32 | $i(v0))
% 290.45/57.32 |
% 290.45/57.32 | ALPHA: (397) implies:
% 290.45/57.32 | (398) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_764_0
% 290.45/57.32 |
% 290.45/57.32 | DELTA: instantiating (17) with fresh symbols all_767_0, all_767_1 gives:
% 290.45/57.32 | (399) ~ (all_767_0 = all_767_1) &
% 290.45/57.32 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OMin) = all_767_0
% 290.45/57.32 | & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls) =
% 290.45/57.32 | all_767_1 & $i(all_767_0) & $i(all_767_1)
% 290.45/57.32 |
% 290.45/57.32 | ALPHA: (399) implies:
% 290.45/57.32 | (400) c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OMin) = all_767_0
% 290.45/57.32 |
% 290.45/57.32 | DELTA: instantiating (80) with fresh symbol all_769_0 gives:
% 290.45/57.32 | (401) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_769_0 & $i(all_769_0) &
% 290.45/57.32 | ! [v0: $i] : ! [v1: $i] : ( ~
% 290.45/57.32 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, all_769_0) = v1) | ~
% 290.45/57.32 | $i(v0) | (c_Nat_OSuc(v0) = v1 & $i(v1)))
% 290.45/57.32 |
% 290.45/57.32 | ALPHA: (401) implies:
% 290.45/57.32 | (402) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_769_0
% 290.45/57.32 |
% 290.45/57.32 | DELTA: instantiating (201) with fresh symbol all_777_0 gives:
% 290.45/57.32 | (403) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_777_0 & $i(all_777_0)
% 290.45/57.32 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 290.45/57.32 | (c_Complex_Ocomplex_OComplex(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0)
% 290.45/57.32 | | c_Nat_Osize__class_Osize(tc_Complex_Ocomplex, v2) = all_777_0)
% 290.45/57.32 |
% 290.45/57.32 | ALPHA: (403) implies:
% 290.45/57.32 | (404) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_777_0
% 290.45/57.32 |
% 290.45/57.32 | DELTA: instantiating (76) with fresh symbol all_780_0 gives:
% 290.45/57.32 | (405) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_780_0 &
% 290.45/57.32 | $i(all_780_0) & ! [v0: $i] : ! [v1: $i] : ( ~ (c_NthRoot_Osqrt(v0)
% 290.45/57.32 | = v1) | ~ $i(v0) | ~
% 290.45/57.32 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_780_0, v0)
% 290.45/57.32 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_780_0,
% 290.45/57.32 | v1))
% 290.45/57.32 |
% 290.45/57.32 | ALPHA: (405) implies:
% 290.45/57.32 | (406) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_780_0
% 290.45/57.32 |
% 290.45/57.32 | DELTA: instantiating (81) with fresh symbol all_787_0 gives:
% 290.45/57.32 | (407) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_787_0 & $i(all_787_0) &
% 290.45/57.32 | ! [v0: $i] : ! [v1: $i] : ( ~
% 290.45/57.32 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_787_0, v0) = v1) | ~
% 290.45/57.32 | $i(v0) | (c_Nat_OSuc(v0) = v1 & $i(v1)))
% 290.45/57.32 |
% 290.45/57.32 | ALPHA: (407) implies:
% 290.45/57.32 | (408) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_787_0
% 290.45/57.32 |
% 290.45/57.32 | DELTA: instantiating (178) with fresh symbol all_790_0 gives:
% 290.45/57.32 | (409) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_790_0 & $i(all_790_0)
% 290.45/57.32 | & ! [v0: any] : ! [v1: $i] : (v0 = all_790_0 | ~
% 290.45/57.32 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v1) | ~ $i(v1)
% 290.45/57.32 | | ~ $i(v0))
% 290.45/57.32 |
% 290.45/57.32 | ALPHA: (409) implies:
% 290.45/57.32 | (410) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_790_0
% 290.45/57.32 |
% 290.45/57.32 | DELTA: instantiating (198) with fresh symbol all_795_0 gives:
% 290.45/57.32 | (411) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_795_0 & $i(all_795_0)
% 290.45/57.32 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 290.45/57.32 | (c_Complex_Ocomplex_OComplex(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0)
% 290.45/57.32 | | c_Complex_Ocomplex_Ocomplex__size(v2) = all_795_0)
% 290.45/57.32 |
% 290.45/57.32 | ALPHA: (411) implies:
% 290.45/57.32 | (412) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_795_0
% 290.45/57.32 |
% 290.45/57.32 | DELTA: instantiating (77) with fresh symbol all_798_0 gives:
% 290.45/57.32 | (413) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_798_0 &
% 290.45/57.32 | $i(all_798_0) & ! [v0: any] : (v0 = all_798_0 | ~
% 290.45/57.32 | (c_NthRoot_Osqrt(v0) = all_798_0) | ~ $i(v0) | ~
% 290.45/57.32 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_798_0, v0))
% 290.45/57.32 |
% 290.45/57.32 | ALPHA: (413) implies:
% 290.45/57.32 | (414) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_798_0
% 290.45/57.32 |
% 290.45/57.32 | DELTA: instantiating (227) with fresh symbol all_812_0 gives:
% 290.45/57.32 | (415) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_812_0 &
% 290.45/57.32 | $i(all_812_0) & ! [v0: $i] : ! [v1: $i] : ( ~ (c_NthRoot_Osqrt(v0)
% 290.45/57.32 | = v1) | ~ $i(v0) | ~
% 290.45/57.32 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_812_0, v0) |
% 290.45/57.32 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_812_0, v1))
% 290.45/57.32 |
% 290.45/57.32 | ALPHA: (415) implies:
% 290.45/57.32 | (416) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_812_0
% 290.45/57.32 |
% 290.45/57.32 | DELTA: instantiating (106) with fresh symbol all_815_0 gives:
% 290.45/57.32 | (417) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_815_0 &
% 290.45/57.32 | $i(all_815_0) & ! [v0: $i] : ! [v1: $i] : ( ~ (c_NthRoot_Osqrt(v0)
% 290.45/57.32 | = v1) | ~ $i(v0) | ~
% 290.45/57.32 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_815_0, v0)
% 290.45/57.32 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_815_0,
% 290.45/57.32 | v1))
% 290.45/57.32 |
% 290.45/57.32 | ALPHA: (417) implies:
% 290.45/57.32 | (418) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_815_0
% 290.45/57.32 |
% 290.45/57.32 | DELTA: instantiating (61) with fresh symbols all_823_0, all_823_1, all_823_2
% 290.45/57.32 | gives:
% 290.45/57.32 | (419) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_823_1) =
% 290.45/57.32 | all_823_0 & c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_z,
% 290.45/57.32 | c_Complex_Oii) = all_823_1 &
% 290.45/57.32 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_823_2 &
% 290.45/57.32 | $i(all_823_0) & $i(all_823_1) & $i(all_823_2) &
% 290.45/57.32 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_823_2,
% 290.45/57.32 | all_823_0)
% 290.45/57.32 |
% 290.45/57.32 | ALPHA: (419) implies:
% 290.45/57.32 | (420) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_823_2
% 290.45/57.32 |
% 290.45/57.32 | DELTA: instantiating (223) with fresh symbol all_827_0 gives:
% 290.45/57.32 | (421) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_827_0 &
% 290.45/57.32 | $i(all_827_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 290.45/57.32 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~
% 290.45/57.32 | $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2,
% 290.45/57.32 | all_827_0) | ~ class_RealVector_Oreal__normed__vector(v1))
% 290.45/57.32 |
% 290.45/57.32 | ALPHA: (421) implies:
% 290.45/57.32 | (422) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_827_0
% 290.45/57.32 |
% 290.45/57.32 | DELTA: instantiating (90) with fresh symbol all_830_0 gives:
% 290.45/57.33 | (423) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_830_0 &
% 290.45/57.33 | $i(all_830_0) & ! [v0: any] : (v0 = all_830_0 | ~
% 290.45/57.33 | (c_NthRoot_Osqrt(v0) = all_830_0) | ~ $i(v0)) & ! [v0: int] : (v0
% 290.45/57.33 | = all_830_0 | ~ (c_NthRoot_Osqrt(all_830_0) = v0))
% 290.45/57.33 |
% 290.45/57.33 | ALPHA: (423) implies:
% 290.45/57.33 | (424) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_830_0
% 290.45/57.33 |
% 290.45/57.33 | DELTA: instantiating (234) with fresh symbol all_833_0 gives:
% 290.45/57.33 | (425) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_833_0 &
% 290.45/57.33 | $i(all_833_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 290.45/57.33 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v0) = v1) | ~ $i(v0)
% 290.45/57.33 | | ? [v2: $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1,
% 290.45/57.33 | all_833_0) = v2 & $i(v2) & ~
% 290.45/57.33 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v0)))
% 290.45/57.33 |
% 290.45/57.33 | ALPHA: (425) implies:
% 290.45/57.33 | (426) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_833_0
% 290.45/57.33 |
% 290.45/57.33 | DELTA: instantiating (158) with fresh symbol all_839_0 gives:
% 290.45/57.33 | (427) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_839_0 &
% 290.45/57.33 | $i(all_839_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 290.45/57.33 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~
% 290.45/57.33 | $i(v0) | ~ class_RealVector_Oreal__normed__vector(v1) |
% 290.45/57.33 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_839_0, v2))
% 290.45/57.33 |
% 290.45/57.33 | ALPHA: (427) implies:
% 290.45/57.33 | (428) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_839_0
% 290.45/57.33 |
% 290.45/57.33 | DELTA: instantiating (100) with fresh symbols all_845_0, all_845_1, all_845_2
% 290.45/57.33 | gives:
% 290.45/57.33 | (429) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_845_0 &
% 290.45/57.33 | c_Nat_OSuc(all_845_0) = all_845_1 & c_Int_OBit1(c_Int_OPls) =
% 290.45/57.33 | all_845_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_845_2)
% 290.45/57.33 | = all_845_1 & $i(all_845_0) & $i(all_845_1) & $i(all_845_2)
% 290.45/57.33 |
% 290.45/57.33 | ALPHA: (429) implies:
% 290.45/57.33 | (430) c_Int_OBit1(c_Int_OPls) = all_845_2
% 290.45/57.33 | (431) c_Nat_OSuc(all_845_0) = all_845_1
% 290.45/57.33 | (432) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_845_0
% 290.45/57.33 |
% 290.45/57.33 | DELTA: instantiating (63) with fresh symbols all_847_0, all_847_1 gives:
% 290.45/57.33 | (433) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_847_0 &
% 290.45/57.33 | c_Groups_Oone__class_Oone(tc_Int_Oint) = all_847_1 & $i(all_847_0) &
% 290.45/57.33 | $i(all_847_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 290.45/57.33 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = all_847_0) | ~
% 290.45/57.33 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_847_1, v0) = v1) | ~
% 290.45/57.33 | $i(v0))
% 290.45/57.33 |
% 290.45/57.33 | ALPHA: (433) implies:
% 290.45/57.33 | (434) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_847_0
% 290.45/57.33 |
% 290.45/57.33 | DELTA: instantiating (168) with fresh symbol all_854_0 gives:
% 290.45/57.33 | (435) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_854_0 &
% 290.45/57.33 | $i(all_854_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 =
% 290.45/57.33 | all_854_0 | ~ (c_RealVector_Onorm__class_Onorm(v0, v1) = v2) | ~
% 290.45/57.33 | (c_Groups_Oone__class_Oone(v0) = v1) | ~ $i(v0) | ~
% 290.45/57.33 | class_RealVector_Oreal__normed__algebra__1(v0))
% 290.45/57.33 |
% 290.45/57.33 | ALPHA: (435) implies:
% 290.45/57.33 | (436) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_854_0
% 290.45/57.33 |
% 290.45/57.33 | DELTA: instantiating (72) with fresh symbol all_860_0 gives:
% 290.45/57.33 | (437) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_860_0 &
% 290.45/57.33 | $i(all_860_0) & ! [v0: any] : (v0 = all_860_0 | ~
% 290.45/57.33 | (c_NthRoot_Osqrt(v0) = all_860_0) | ~ $i(v0)) & ! [v0: int] : (v0
% 290.45/57.33 | = all_860_0 | ~ (c_NthRoot_Osqrt(all_860_0) = v0))
% 290.45/57.33 |
% 290.45/57.33 | ALPHA: (437) implies:
% 290.45/57.33 | (438) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_860_0
% 290.45/57.33 |
% 290.45/57.33 | DELTA: instantiating (157) with fresh symbol all_863_0 gives:
% 290.45/57.33 | (439) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_863_0 &
% 290.45/57.33 | $i(all_863_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 =
% 290.45/57.33 | all_863_0 | ~ (c_Groups_Ozero__class_Ozero(v0) = v1) | ~
% 290.45/57.33 | (c_RealVector_Onorm__class_Onorm(v0, v1) = v2) | ~ $i(v0) | ~
% 290.45/57.33 | class_RealVector_Oreal__normed__vector(v0))
% 290.45/57.33 |
% 290.45/57.33 | ALPHA: (439) implies:
% 290.45/57.33 | (440) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_863_0
% 290.45/57.33 |
% 290.45/57.33 | DELTA: instantiating (103) with fresh symbols all_866_0, all_866_1, all_866_2
% 290.45/57.33 | gives:
% 290.45/57.33 | (441) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_866_0 &
% 290.45/57.33 | c_Complex_Ocomplex_OComplex(all_866_1, all_866_0) = all_866_2 &
% 290.45/57.33 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_866_2 &
% 290.45/57.33 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_866_1 &
% 290.45/57.33 | $i(all_866_0) & $i(all_866_1) & $i(all_866_2)
% 290.45/57.33 |
% 290.45/57.33 | ALPHA: (441) implies:
% 290.45/57.33 | (442) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_866_1
% 290.45/57.33 | (443) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_866_0
% 290.45/57.33 |
% 290.45/57.33 | DELTA: instantiating (30) with fresh symbol all_868_0 gives:
% 290.45/57.33 | (444) c_Int_OBit1(c_Int_OPls) = all_868_0 & $i(all_868_0) & ! [v0: $i] :
% 290.45/57.33 | ! [v1: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v0, all_868_0) =
% 290.45/57.33 | v1) | ~ $i(v0) | ~ class_Int_Onumber__ring(v0) |
% 290.45/57.33 | (c_Groups_Oone__class_Oone(v0) = v1 & $i(v1)))
% 290.45/57.33 |
% 290.45/57.33 | ALPHA: (444) implies:
% 290.45/57.33 | (445) c_Int_OBit1(c_Int_OPls) = all_868_0
% 290.45/57.33 |
% 290.45/57.33 | DELTA: instantiating (30) with fresh symbol all_871_0 gives:
% 290.45/57.33 | (446) c_Int_OBit1(c_Int_OPls) = all_871_0 & $i(all_871_0) & ! [v0: $i] :
% 290.45/57.33 | ! [v1: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v0, all_871_0) =
% 290.45/57.33 | v1) | ~ $i(v0) | ~ class_Int_Onumber__ring(v0) |
% 290.45/57.33 | (c_Groups_Oone__class_Oone(v0) = v1 & $i(v1)))
% 290.45/57.33 |
% 290.45/57.33 | ALPHA: (446) implies:
% 290.45/57.33 | (447) c_Int_OBit1(c_Int_OPls) = all_871_0
% 290.45/57.33 |
% 290.45/57.33 | DELTA: instantiating (187) with fresh symbols all_886_0, all_886_1 gives:
% 290.45/57.33 | (448) c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_886_1 &
% 290.45/57.33 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_886_0 & $i(all_886_0) &
% 290.45/57.33 | $i(all_886_1) & ! [v0: $i] : ! [v1: $i] : ( ~ (hAPP(all_886_1, v0)
% 290.45/57.33 | = v1) | ~ $i(v0) | hAPP(v1, all_886_0) = v0)
% 290.45/57.33 |
% 290.45/57.33 | ALPHA: (448) implies:
% 290.45/57.33 | (449) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_886_0
% 290.45/57.33 |
% 290.45/57.33 | DELTA: instantiating (192) with fresh symbol all_889_0 gives:
% 290.45/57.33 | (450) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_889_0 & $i(all_889_0)
% 290.45/57.33 | & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = all_889_0 | ~
% 290.45/57.33 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v2) | ~
% 290.45/57.33 | $i(v1) | ~ $i(v0) | ~
% 290.45/57.33 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0))
% 290.45/57.33 |
% 290.45/57.33 | ALPHA: (450) implies:
% 290.45/57.33 | (451) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_889_0
% 290.45/57.33 |
% 290.45/57.33 | DELTA: instantiating (59) with fresh symbols all_892_0, all_892_1, all_892_2
% 290.45/57.33 | gives:
% 290.45/57.33 | (452) c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v_z,
% 290.45/57.33 | c_Complex_Oii) = all_892_1 &
% 290.45/57.33 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_892_1) =
% 290.45/57.33 | all_892_0 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_892_2 &
% 290.45/57.33 | $i(all_892_0) & $i(all_892_1) & $i(all_892_2) &
% 290.45/57.33 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_892_2,
% 290.45/57.33 | all_892_0)
% 290.45/57.33 |
% 290.45/57.33 | ALPHA: (452) implies:
% 290.45/57.33 | (453) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_892_2
% 290.45/57.33 |
% 290.45/57.33 | DELTA: instantiating (42) with fresh symbol all_898_0 gives:
% 290.45/57.33 | (454) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_898_0 & $i(all_898_0) &
% 290.45/57.33 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 290.45/57.33 | (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v2, v0) = v3) |
% 290.45/57.33 | ~ $i(v1) | ~ $i(v0) | ~ class_Groups_Omonoid__mult(v1) | hAPP(v3,
% 290.45/57.33 | all_898_0) = v0)
% 290.45/57.33 |
% 290.45/57.33 | ALPHA: (454) implies:
% 290.45/57.33 | (455) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_898_0
% 290.45/57.33 |
% 290.45/57.33 | DELTA: instantiating (109) with fresh symbol all_901_0 gives:
% 290.45/57.33 | (456) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_901_0 &
% 290.45/57.33 | $i(all_901_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 290.45/57.33 | (hAPP(v1, v0) = v2) | ~ (hAPP(all_901_0, v0) = v1) | ~ $i(v0) |
% 290.45/57.33 | ? [v3: $i] : (c_NthRoot_Osqrt(v2) = v3 &
% 290.45/57.33 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v0) = v3 & $i(v3)))
% 290.45/57.33 |
% 290.45/57.33 | ALPHA: (456) implies:
% 290.45/57.33 | (457) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_901_0
% 290.45/57.33 |
% 290.45/57.33 | DELTA: instantiating (160) with fresh symbol all_904_0 gives:
% 290.45/57.33 | (458) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_904_0 & $i(all_904_0)
% 290.45/57.33 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 290.45/57.33 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~ $i(v1)
% 290.45/57.33 | | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 290.45/57.33 | all_904_0, v1) | ~
% 290.45/57.33 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_904_0, v0) |
% 290.45/57.33 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_904_0, v2))
% 290.45/57.33 |
% 290.45/57.33 | ALPHA: (458) implies:
% 290.45/57.33 | (459) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_904_0
% 290.45/57.33 |
% 290.45/57.33 | DELTA: instantiating (18) with fresh symbol all_907_0 gives:
% 290.45/57.33 | (460) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_907_0 & $i(all_907_0) &
% 290.45/57.33 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 290.45/57.33 | (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v2, v0) = v3) |
% 290.45/57.33 | ~ $i(v1) | ~ $i(v0) | ~ class_Rings_Ocomm__semiring__1(v1) |
% 290.45/57.33 | hAPP(v3, all_907_0) = v0)
% 290.45/57.33 |
% 290.45/57.33 | ALPHA: (460) implies:
% 290.45/57.33 | (461) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_907_0
% 290.45/57.33 |
% 290.45/57.33 | DELTA: instantiating (268) with fresh symbols all_910_0, all_910_1 gives:
% 290.45/57.33 | (462) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_910_1 &
% 290.45/57.33 | c_Nat_OSuc(all_910_1) = all_910_0 & $i(all_910_0) & $i(all_910_1) &
% 290.45/57.33 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_910_1, all_910_0) & !
% 290.45/57.33 | [v0: any] : (v0 = all_910_1 | ~ $i(v0) | ~
% 290.45/57.33 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, all_910_0))
% 290.45/57.33 |
% 290.45/57.33 | ALPHA: (462) implies:
% 290.45/57.33 | (463) c_Nat_OSuc(all_910_1) = all_910_0
% 290.45/57.33 | (464) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_910_1
% 290.45/57.33 |
% 290.45/57.33 | DELTA: instantiating (67) with fresh symbol all_913_0 gives:
% 290.45/57.33 | (465) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_913_0 & $i(all_913_0)
% 290.45/57.33 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i]
% 290.45/57.33 | : ! [v5: $i] : ( ~ (c_Power_Opower_Opower(v3, v2, v1) = v4) | ~
% 290.45/57.33 | (hAPP(v4, v0) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0)
% 290.45/57.33 | | hAPP(v5, all_913_0) = v2)
% 290.45/57.33 |
% 290.45/57.33 | ALPHA: (465) implies:
% 290.45/57.33 | (466) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_913_0
% 290.45/57.33 |
% 290.45/57.33 | DELTA: instantiating (134) with fresh symbols all_916_0, all_916_1, all_916_2,
% 290.45/57.33 | all_916_3 gives:
% 290.45/57.33 | (467) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_916_3, all_916_3) =
% 290.45/57.33 | all_916_2 & c_Int_OBit1(c_Int_OPls) = all_916_1 &
% 290.45/57.33 | c_Int_OBit0(all_916_1) = all_916_0 &
% 290.45/57.33 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) = all_916_2
% 290.45/57.33 | & c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_916_3 & $i(all_916_0)
% 290.45/57.33 | & $i(all_916_1) & $i(all_916_2) & $i(all_916_3)
% 290.45/57.33 |
% 290.45/57.33 | ALPHA: (467) implies:
% 290.45/57.33 | (468) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_916_3
% 290.45/57.33 | (469) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) = all_916_2
% 290.45/57.33 | (470) c_Int_OBit0(all_916_1) = all_916_0
% 290.45/57.33 | (471) c_Int_OBit1(c_Int_OPls) = all_916_1
% 290.45/57.33 |
% 290.45/57.33 | DELTA: instantiating (57) with fresh symbols all_918_0, all_918_1, all_918_2,
% 290.45/57.33 | all_918_3 gives:
% 290.45/57.33 | (472) c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v_z, all_918_2) =
% 290.45/57.33 | all_918_1 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 290.45/57.33 | all_918_1) = all_918_0 &
% 290.45/57.33 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_918_2 &
% 290.45/57.33 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_918_3 &
% 290.45/57.33 | $i(all_918_0) & $i(all_918_1) & $i(all_918_2) & $i(all_918_3) &
% 290.45/57.33 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_918_3,
% 290.45/57.33 | all_918_0)
% 290.45/57.33 |
% 290.45/57.33 | ALPHA: (472) implies:
% 290.45/57.33 | (473) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_918_3
% 290.45/57.33 |
% 290.45/57.33 | DELTA: instantiating (185) with fresh symbols all_920_0, all_920_1, all_920_2
% 290.45/57.33 | gives:
% 290.45/57.33 | (474) c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_920_2 &
% 290.45/57.33 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_920_1 & hAPP(all_920_2,
% 290.45/57.33 | all_920_1) = all_920_0 & $i(all_920_0) & $i(all_920_1) &
% 290.45/57.33 | $i(all_920_2) & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~
% 290.45/57.33 | (hAPP(all_920_0, v0) = v1) | ~ $i(v0))
% 290.45/57.33 |
% 290.45/57.33 | ALPHA: (474) implies:
% 290.45/57.33 | (475) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_920_1
% 290.45/57.33 |
% 290.45/57.33 | DELTA: instantiating (180) with fresh symbols all_926_0, all_926_1, all_926_2
% 290.45/57.33 | gives:
% 290.45/57.33 | (476) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_926_1 &
% 290.45/57.33 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_926_2 &
% 290.45/57.33 | hAPP(all_926_2, all_926_1) = all_926_0 & $i(all_926_0) &
% 290.45/57.33 | $i(all_926_1) & $i(all_926_2) & ! [v0: $i] : ! [v1: int] : (v1 =
% 290.45/57.33 | all_926_1 | ~ (hAPP(all_926_0, v0) = v1) | ~ $i(v0))
% 290.45/57.33 |
% 290.45/57.33 | ALPHA: (476) implies:
% 290.45/57.33 | (477) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_926_1
% 290.45/57.33 |
% 290.45/57.33 | DELTA: instantiating (151) with fresh symbols all_929_0, all_929_1, all_929_2,
% 290.45/57.33 | all_929_3 gives:
% 290.45/57.33 | (478) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_929_3 &
% 290.45/57.33 | c_Int_OBit1(c_Int_OPls) = all_929_2 & c_Int_OBit0(all_929_2) =
% 290.45/57.33 | all_929_1 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, all_929_1)
% 290.45/57.33 | = all_929_0 & $i(all_929_0) & $i(all_929_1) & $i(all_929_2) &
% 290.45/57.33 | $i(all_929_3) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 290.45/57.33 | all_929_3, all_929_0)
% 290.45/57.33 |
% 290.45/57.33 | ALPHA: (478) implies:
% 290.45/57.33 | (479) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_929_3, all_929_0)
% 290.45/57.33 | (480) $i(all_929_1)
% 290.45/57.33 | (481) c_Int_Onumber__class_Onumber__of(tc_Int_Oint, all_929_1) = all_929_0
% 290.45/57.33 | (482) c_Int_OBit0(all_929_2) = all_929_1
% 290.45/57.33 | (483) c_Int_OBit1(c_Int_OPls) = all_929_2
% 290.45/57.33 | (484) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_929_3
% 290.45/57.33 |
% 290.45/57.33 | DELTA: instantiating (58) with fresh symbols all_931_0, all_931_1, all_931_2,
% 290.45/57.33 | all_931_3 gives:
% 290.45/57.33 | (485) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_931_1) =
% 290.45/57.33 | all_931_0 & c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_z,
% 290.45/57.33 | all_931_2) = all_931_1 &
% 290.45/57.33 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_931_2 &
% 290.45/57.33 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_931_3 &
% 290.45/57.33 | $i(all_931_0) & $i(all_931_1) & $i(all_931_2) & $i(all_931_3) &
% 290.45/57.33 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_931_3,
% 290.45/57.33 | all_931_0)
% 290.45/57.33 |
% 290.45/57.33 | ALPHA: (485) implies:
% 290.45/57.33 | (486) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_931_3
% 290.45/57.33 |
% 290.45/57.33 | DELTA: instantiating (25) with fresh symbols all_933_0, all_933_1, all_933_2
% 290.45/57.33 | gives:
% 290.45/57.33 | (487) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_933_2 &
% 290.45/57.33 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_933_1 &
% 290.45/57.33 | hAPP(all_933_2, all_933_1) = all_933_0 & $i(all_933_0) &
% 290.45/57.33 | $i(all_933_1) & $i(all_933_2) & ! [v0: $i] : ! [v1: $i] : (v1 = v0
% 290.45/57.33 | | ~ (hAPP(all_933_0, v0) = v1) | ~ $i(v0))
% 290.45/57.33 |
% 290.45/57.33 | ALPHA: (487) implies:
% 290.45/57.33 | (488) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_933_1
% 290.45/57.33 | (489) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_933_2
% 290.45/57.33 |
% 290.45/57.33 | DELTA: instantiating (126) with fresh symbol all_939_0 gives:
% 290.45/57.33 | (490) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_939_0 & $i(all_939_0)
% 290.45/57.33 | & ! [v0: $i] : ! [v1: int] : (v1 = all_939_0 | ~
% 290.45/57.33 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v1) | ~
% 290.45/57.33 | $i(v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0,
% 290.45/57.33 | c_Int_OPls)) & ! [v0: $i] : ( ~
% 290.45/57.33 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = all_939_0) |
% 290.45/57.33 | ~ $i(v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0,
% 290.45/57.33 | c_Int_OPls))
% 290.45/57.33 |
% 290.45/57.33 | ALPHA: (490) implies:
% 290.45/57.33 | (491) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_939_0
% 290.45/57.33 |
% 290.45/57.33 | DELTA: instantiating (126) with fresh symbol all_942_0 gives:
% 290.45/57.33 | (492) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_942_0 & $i(all_942_0)
% 290.45/57.33 | & ! [v0: $i] : ! [v1: int] : (v1 = all_942_0 | ~
% 290.45/57.33 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v1) | ~
% 290.45/57.33 | $i(v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0,
% 290.45/57.33 | c_Int_OPls)) & ! [v0: $i] : ( ~
% 290.45/57.33 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = all_942_0) |
% 290.45/57.33 | ~ $i(v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0,
% 290.45/57.33 | c_Int_OPls))
% 290.45/57.33 |
% 290.45/57.33 | ALPHA: (492) implies:
% 290.45/57.34 | (493) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_942_0
% 290.45/57.34 |
% 290.45/57.34 | DELTA: instantiating (204) with fresh symbol all_945_0 gives:
% 290.45/57.34 | (494) c_Int_OBit1(c_Int_OPls) = all_945_0 & $i(all_945_0) & ! [v0: $i] :
% 290.45/57.34 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 290.45/57.34 | (c_Rings_Oinverse__class_Odivide(v1, v0, v2) = v3) | ~
% 290.45/57.34 | (c_Int_Onumber__class_Onumber__of(v1, all_945_0) = v2) | ~ $i(v1)
% 290.45/57.34 | | ~ $i(v0) | ~ class_Fields_Ofield(v1) | ~
% 290.45/57.34 | class_Int_Onumber__ring(v1))
% 290.45/57.34 |
% 290.45/57.34 | ALPHA: (494) implies:
% 290.45/57.34 | (495) c_Int_OBit1(c_Int_OPls) = all_945_0
% 290.45/57.34 |
% 290.45/57.34 | DELTA: instantiating (172) with fresh symbols all_948_0, all_948_1, all_948_2,
% 290.45/57.34 | all_948_3 gives:
% 290.45/57.34 | (496) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_948_3 &
% 290.45/57.34 | c_Int_OBit1(all_948_2) = all_948_1 & c_Int_OBit1(c_Int_OPls) =
% 290.45/57.34 | all_948_2 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, all_948_1)
% 290.45/57.34 | = all_948_0 & $i(all_948_0) & $i(all_948_1) & $i(all_948_2) &
% 290.45/57.34 | $i(all_948_3) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 290.45/57.34 | all_948_3, all_948_0)
% 290.45/57.34 |
% 290.45/57.34 | ALPHA: (496) implies:
% 290.45/57.34 | (497) c_Int_OBit1(c_Int_OPls) = all_948_2
% 290.45/57.34 | (498) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_948_3
% 290.45/57.34 |
% 290.45/57.34 | DELTA: instantiating (236) with fresh symbols all_950_0, all_950_1 gives:
% 290.45/57.34 | (499) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_950_1 &
% 290.45/57.34 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_950_0 &
% 290.45/57.34 | $i(all_950_0) & $i(all_950_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 290.45/57.34 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v0) = v1) | ~ $i(v0)
% 290.45/57.34 | | ? [v2: $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,
% 290.45/57.34 | all_950_0, v1) = v2 & $i(v2) &
% 290.45/57.34 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_950_1, v2)))
% 290.45/57.34 |
% 290.45/57.34 | ALPHA: (499) implies:
% 290.45/57.34 | (500) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_950_0
% 290.45/57.34 | (501) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_950_1
% 290.45/57.34 |
% 290.45/57.34 | DELTA: instantiating (204) with fresh symbol all_953_0 gives:
% 290.45/57.34 | (502) c_Int_OBit1(c_Int_OPls) = all_953_0 & $i(all_953_0) & ! [v0: $i] :
% 290.45/57.34 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 290.45/57.34 | (c_Rings_Oinverse__class_Odivide(v1, v0, v2) = v3) | ~
% 290.45/57.34 | (c_Int_Onumber__class_Onumber__of(v1, all_953_0) = v2) | ~ $i(v1)
% 290.45/57.34 | | ~ $i(v0) | ~ class_Fields_Ofield(v1) | ~
% 290.45/57.34 | class_Int_Onumber__ring(v1))
% 290.45/57.34 |
% 290.45/57.34 | ALPHA: (502) implies:
% 290.45/57.34 | (503) c_Int_OBit1(c_Int_OPls) = all_953_0
% 290.45/57.34 |
% 290.45/57.34 | DELTA: instantiating (207) with fresh symbols all_957_0, all_957_1, all_957_2
% 290.45/57.34 | gives:
% 290.45/57.34 | (504) c_Int_OBit1(c_Int_OPls) = all_957_2 & c_Int_OBit0(all_957_2) =
% 290.45/57.34 | all_957_1 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 290.45/57.34 | all_957_1) = all_957_0 & $i(all_957_0) & $i(all_957_1) &
% 290.45/57.34 | $i(all_957_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v0 |
% 290.45/57.34 | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v0, all_957_0)
% 290.45/57.34 | = v1) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v1)
% 290.45/57.34 | = v2) | ~ $i(v0))
% 290.45/57.34 |
% 290.45/57.34 | ALPHA: (504) implies:
% 290.45/57.34 | (505) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_957_1) =
% 290.45/57.34 | all_957_0
% 290.45/57.34 | (506) c_Int_OBit0(all_957_2) = all_957_1
% 290.45/57.34 | (507) c_Int_OBit1(c_Int_OPls) = all_957_2
% 290.45/57.34 |
% 290.45/57.34 | DELTA: instantiating (107) with fresh symbol all_960_0 gives:
% 290.45/57.34 | (508) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_960_0 &
% 290.45/57.34 | $i(all_960_0) & ! [v0: $i] : ! [v1: $i] : ( ~ (c_NthRoot_Osqrt(v0)
% 290.45/57.34 | = v1) | ~ $i(v0) | ~
% 290.45/57.34 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, all_960_0)
% 290.45/57.34 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 290.45/57.34 | all_960_0)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 290.45/57.34 | (c_NthRoot_Osqrt(v0) = v1) | ~ $i(v0) | ~
% 290.45/57.34 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, all_960_0)
% 290.45/57.34 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1,
% 290.45/57.34 | all_960_0))
% 290.45/57.34 |
% 290.45/57.34 | ALPHA: (508) implies:
% 290.45/57.34 | (509) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_960_0
% 290.45/57.34 |
% 290.45/57.34 | DELTA: instantiating (229) with fresh symbol all_963_0 gives:
% 290.45/57.34 | (510) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_963_0 &
% 290.45/57.34 | $i(all_963_0) & ! [v0: $i] : ! [v1: $i] : ( ~ (c_NthRoot_Osqrt(v0)
% 290.45/57.34 | = v1) | ~ $i(v0) | ~
% 290.45/57.34 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_963_0, v1) |
% 290.45/57.34 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_963_0, v0)) &
% 290.45/57.34 | ! [v0: $i] : ! [v1: $i] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ $i(v0)
% 290.45/57.34 | | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_963_0, v0)
% 290.45/57.34 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_963_0, v1))
% 290.45/57.34 |
% 290.45/57.34 | ALPHA: (510) implies:
% 290.45/57.34 | (511) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_963_0
% 290.45/57.34 |
% 290.45/57.34 | DELTA: instantiating (31) with fresh symbol all_969_0 gives:
% 290.45/57.34 | (512) c_Int_OBit1(c_Int_OPls) = all_969_0 & $i(all_969_0) & ! [v0: $i] :
% 290.45/57.34 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] :
% 290.45/57.34 | (v5 = v0 | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~
% 290.45/57.34 | (c_Int_Onumber__class_Onumber__of(v1, all_969_0) = v3) | ~
% 290.45/57.34 | (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v3) = v4) | ~ $i(v1) | ~
% 290.45/57.34 | $i(v0) | ~ class_Int_Onumber__ring(v1))
% 290.45/57.34 |
% 290.45/57.34 | ALPHA: (512) implies:
% 290.45/57.34 | (513) c_Int_OBit1(c_Int_OPls) = all_969_0
% 290.45/57.34 |
% 290.45/57.34 | DELTA: instantiating (114) with fresh symbol all_972_0 gives:
% 290.45/57.34 | (514) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_972_0 & $i(all_972_0)
% 290.45/57.34 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 290.45/57.34 | (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v2, v0) = v3) |
% 290.45/57.34 | ~ $i(v1) | ~ $i(v0) | ~ class_Power_Opower(v1) | ? [v4: $i] :
% 290.45/57.34 | (c_Groups_Oone__class_Oone(v1) = v4 & hAPP(v3, all_972_0) = v4 &
% 290.45/57.34 | $i(v4)))
% 290.45/57.34 |
% 290.45/57.34 | ALPHA: (514) implies:
% 290.45/57.34 | (515) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_972_0
% 290.45/57.34 |
% 290.45/57.34 | DELTA: instantiating (264) with fresh symbol all_975_0 gives:
% 290.45/57.34 | (516) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_975_0 & $i(all_975_0)
% 290.45/57.34 | & ! [v0: $i] : ! [v1: $i] : ( ~ (c_Int_OBit1(v0) = v1) | ~ $i(v0)
% 290.45/57.34 | | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, all_975_0) |
% 290.45/57.34 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_975_0)) & !
% 290.45/57.34 | [v0: $i] : ! [v1: $i] : ( ~ (c_Int_OBit1(v0) = v1) | ~ $i(v0) | ~
% 290.45/57.34 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_975_0) |
% 290.45/57.34 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, all_975_0))
% 290.45/57.34 |
% 290.45/57.34 | ALPHA: (516) implies:
% 290.45/57.34 | (517) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_975_0
% 290.45/57.34 |
% 290.45/57.34 | DELTA: instantiating (75) with fresh symbol all_978_0 gives:
% 290.45/57.34 | (518) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_978_0 &
% 290.45/57.34 | $i(all_978_0) & ! [v0: $i] : ! [v1: $i] : ( ~ (c_NthRoot_Osqrt(v0)
% 290.45/57.34 | = v1) | ~ $i(v0) | ~
% 290.45/57.34 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, all_978_0)
% 290.45/57.34 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 290.45/57.34 | all_978_0)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 290.45/57.34 | (c_NthRoot_Osqrt(v0) = v1) | ~ $i(v0) | ~
% 290.45/57.34 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, all_978_0)
% 290.45/57.34 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1,
% 290.45/57.34 | all_978_0))
% 290.45/57.34 |
% 290.45/57.34 | ALPHA: (518) implies:
% 290.45/57.34 | (519) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_978_0
% 290.45/57.34 |
% 290.45/57.34 | DELTA: instantiating (225) with fresh symbol all_981_0 gives:
% 290.45/57.34 | (520) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_981_0 &
% 290.45/57.34 | $i(all_981_0) & ! [v0: $i] : ! [v1: $i] : ( ~ (c_NthRoot_Osqrt(v0)
% 290.45/57.34 | = v1) | ~ $i(v0) | ~
% 290.45/57.34 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_981_0) |
% 290.45/57.34 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_981_0)) &
% 290.45/57.34 | ! [v0: $i] : ! [v1: $i] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ $i(v0)
% 290.45/57.34 | | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_981_0)
% 290.45/57.34 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_981_0))
% 290.45/57.34 |
% 290.45/57.34 | ALPHA: (520) implies:
% 290.45/57.34 | (521) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_981_0
% 290.45/57.34 |
% 290.45/57.34 | DELTA: instantiating (228) with fresh symbol all_984_0 gives:
% 290.45/57.34 | (522) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_984_0 &
% 290.45/57.34 | $i(all_984_0) & ! [v0: $i] : ! [v1: $i] : ( ~ (c_NthRoot_Osqrt(v0)
% 290.45/57.34 | = v1) | ~ $i(v0) | ~
% 290.45/57.34 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_984_0) |
% 290.45/57.34 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_984_0)) &
% 290.45/57.34 | ! [v0: $i] : ! [v1: $i] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ $i(v0)
% 290.45/57.34 | | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_984_0)
% 290.45/57.34 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_984_0))
% 290.45/57.34 |
% 290.45/57.34 | ALPHA: (522) implies:
% 290.45/57.34 | (523) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_984_0
% 290.45/57.34 |
% 290.45/57.34 | DELTA: instantiating (79) with fresh symbol all_987_0 gives:
% 290.45/57.34 | (524) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_987_0 & $i(all_987_0) &
% 290.45/57.34 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 290.45/57.34 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v0) = v3) | ~
% 290.45/57.34 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, all_987_0) = v2) |
% 290.45/57.34 | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] :
% 290.45/57.34 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v4) = v3 &
% 290.45/57.34 | c_Nat_OSuc(v0) = v4 & $i(v4) & $i(v3)))
% 290.45/57.34 |
% 290.45/57.34 | ALPHA: (524) implies:
% 290.45/57.34 | (525) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_987_0
% 290.45/57.34 |
% 290.45/57.34 | DELTA: instantiating (202) with fresh symbol all_990_0 gives:
% 290.45/57.34 | (526) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_990_0 &
% 290.45/57.34 | $i(all_990_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i]
% 290.45/57.34 | : ! [v4: $i] : ! [v5: $i] : ( ~
% 290.45/57.34 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v3, v4) = v5) |
% 290.45/57.34 | ~ (hAPP(v2, v1) = v4) | ~ (hAPP(v2, v0) = v3) | ~
% 290.45/57.34 | (hAPP(all_990_0, v1) = v2) | ~ $i(v1) | ~ $i(v0) |
% 290.45/57.34 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v0, v1) = v5 &
% 290.45/57.34 | $i(v5)))
% 290.45/57.34 |
% 290.45/57.34 | ALPHA: (526) implies:
% 290.45/57.34 | (527) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_990_0
% 290.45/57.34 |
% 290.45/57.34 | DELTA: instantiating (224) with fresh symbol all_993_0 gives:
% 290.45/57.34 | (528) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_993_0 &
% 290.45/57.34 | $i(all_993_0) & ! [v0: $i] : ! [v1: $i] : ( ~ (c_NthRoot_Osqrt(v0)
% 290.45/57.34 | = v1) | ~ $i(v0) | ~
% 290.45/57.34 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_993_0, v1) |
% 290.45/57.34 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_993_0, v0)) &
% 290.45/57.34 | ! [v0: $i] : ! [v1: $i] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ $i(v0)
% 290.45/57.34 | | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_993_0, v0)
% 290.45/57.34 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_993_0, v1))
% 290.45/57.34 |
% 290.45/57.34 | ALPHA: (528) implies:
% 290.45/57.34 | (529) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_993_0
% 290.45/57.34 |
% 290.45/57.34 | DELTA: instantiating (74) with fresh symbol all_996_0 gives:
% 290.45/57.34 | (530) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_996_0 &
% 290.45/57.34 | $i(all_996_0) & ! [v0: $i] : ! [v1: $i] : ( ~ (c_NthRoot_Osqrt(v0)
% 290.45/57.34 | = v1) | ~ $i(v0) | ~
% 290.45/57.34 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_996_0, v1)
% 290.45/57.34 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_996_0,
% 290.45/57.34 | v0)) & ! [v0: $i] : ! [v1: $i] : ( ~ (c_NthRoot_Osqrt(v0) = v1)
% 290.45/57.34 | | ~ $i(v0) | ~
% 290.45/57.34 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_996_0, v0)
% 290.45/57.34 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_996_0,
% 290.45/57.34 | v1))
% 290.45/57.34 |
% 290.45/57.34 | ALPHA: (530) implies:
% 290.45/57.34 | (531) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_996_0
% 290.45/57.34 |
% 290.45/57.34 | DELTA: instantiating (108) with fresh symbol all_999_0 gives:
% 290.45/57.34 | (532) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_999_0 &
% 290.45/57.34 | $i(all_999_0) & ! [v0: $i] : ! [v1: $i] : ( ~ (c_NthRoot_Osqrt(v0)
% 290.45/57.34 | = v1) | ~ $i(v0) | ~
% 290.45/57.34 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_999_0, v1)
% 290.45/57.34 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_999_0,
% 290.45/57.34 | v0)) & ! [v0: $i] : ! [v1: $i] : ( ~ (c_NthRoot_Osqrt(v0) = v1)
% 290.45/57.34 | | ~ $i(v0) | ~
% 290.45/57.34 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_999_0, v0)
% 290.45/57.34 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_999_0,
% 290.45/57.34 | v1))
% 290.45/57.34 |
% 290.45/57.34 | ALPHA: (532) implies:
% 290.45/57.34 | (533) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_999_0
% 290.45/57.34 |
% 290.45/57.34 | DELTA: instantiating (23) with fresh symbol all_1002_0 gives:
% 290.45/57.34 | (534) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1002_0 &
% 290.45/57.34 | $i(all_1002_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 290.45/57.34 | $i] : ( ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_1002_0, v0) = v2) | ~
% 290.45/57.34 | $i(v1) | ~ $i(v0) | ? [v4: $i] : (hAPP(v4, v0) = v3 &
% 290.45/57.34 | hAPP(all_1002_0, v1) = v4 & $i(v4) & $i(v3)))
% 290.45/57.34 |
% 290.45/57.34 | ALPHA: (534) implies:
% 290.45/57.34 | (535) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1002_0
% 290.45/57.34 |
% 290.45/57.34 | DELTA: instantiating (266) with fresh symbol all_1005_0 gives:
% 290.45/57.34 | (536) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1005_0 &
% 290.45/57.34 | $i(all_1005_0) & ! [v0: $i] : ! [v1: $i] : ( ~ (c_Int_OBit0(v0) =
% 290.45/57.34 | v1) | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 290.45/57.34 | v1, all_1005_0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0,
% 290.45/57.34 | all_1005_0)) & ! [v0: $i] : ! [v1: $i] : ( ~ (c_Int_OBit0(v0) =
% 290.45/57.34 | v1) | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 290.45/57.34 | v0, all_1005_0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1,
% 290.45/57.34 | all_1005_0))
% 290.45/57.34 |
% 290.45/57.34 | ALPHA: (536) implies:
% 290.45/57.34 | (537) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1005_0
% 290.45/57.34 |
% 290.45/57.34 | DELTA: instantiating (93) with fresh symbols all_1008_0, all_1008_1 gives:
% 290.45/57.34 | (538) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1008_1 &
% 290.45/57.34 | c_Power_Opower__class_Opower(tc_Int_Oint) = all_1008_0 &
% 290.45/57.34 | $i(all_1008_0) & $i(all_1008_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 290.45/57.34 | $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 290.45/57.34 | (c_Groups_Oabs__class_Oabs(tc_Int_Oint, v1) = v2) | ~ (hAPP(v3,
% 290.45/57.34 | v0) = v4) | ~ (hAPP(all_1008_0, v2) = v3) | ~ $i(v1) | ~
% 290.45/57.34 | $i(v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1008_1,
% 290.45/57.34 | v4))
% 290.45/57.34 |
% 290.45/57.34 | ALPHA: (538) implies:
% 290.45/57.34 | (539) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1008_1
% 290.45/57.34 |
% 290.45/57.34 | DELTA: instantiating (163) with fresh symbols all_1014_0, all_1014_1 gives:
% 290.45/57.34 | (540) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1014_1 &
% 290.45/57.34 | c_Power_Opower__class_Opower(tc_Int_Oint) = all_1014_0 &
% 290.45/57.34 | $i(all_1014_0) & $i(all_1014_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 290.45/57.34 | $i] : ! [v3: $i] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_1014_0,
% 290.45/57.34 | v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 290.45/57.34 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1014_1, v1) |
% 290.45/57.34 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1014_1, v3))
% 290.45/57.34 |
% 290.45/57.34 | ALPHA: (540) implies:
% 290.45/57.34 | (541) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1014_1
% 290.45/57.34 |
% 290.45/57.34 | DELTA: instantiating (32) with fresh symbol all_1017_0 gives:
% 290.45/57.34 | (542) c_Int_OBit1(c_Int_OPls) = all_1017_0 & $i(all_1017_0) & ! [v0: $i] :
% 290.45/57.34 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] :
% 290.45/57.34 | (v5 = v0 | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~
% 290.45/57.34 | (c_Int_Onumber__class_Onumber__of(v1, all_1017_0) = v4) | ~
% 290.45/57.34 | (hAPP(v3, v4) = v5) | ~ (hAPP(v2, v0) = v3) | ~ $i(v1) | ~
% 290.45/57.34 | $i(v0) | ~ class_Int_Onumber__ring(v1))
% 290.45/57.34 |
% 290.45/57.34 | ALPHA: (542) implies:
% 290.45/57.34 | (543) c_Int_OBit1(c_Int_OPls) = all_1017_0
% 290.45/57.34 |
% 290.45/57.34 | DELTA: instantiating (260) with fresh symbol all_1020_0 gives:
% 290.45/57.34 | (544) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1020_0 &
% 290.45/57.34 | $i(all_1020_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 290.45/57.34 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v1) | ~
% 290.45/57.34 | $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls,
% 290.45/57.34 | v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1020_0, v1))
% 290.45/57.34 | & ! [v0: $i] : ! [v1: $i] : ( ~
% 290.45/57.34 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v1) | ~
% 290.45/57.34 | $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1020_0,
% 290.45/57.34 | v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0))
% 290.45/57.34 |
% 290.45/57.34 | ALPHA: (544) implies:
% 290.45/57.34 | (545) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1020_0
% 290.45/57.34 |
% 290.45/57.34 | DELTA: instantiating (270) with fresh symbols all_1023_0, all_1023_1,
% 290.45/57.34 | all_1023_2 gives:
% 290.45/57.34 | (546) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1023_2 &
% 290.45/57.34 | c_Nat_OSuc(all_1023_1) = all_1023_0 & c_Nat_OSuc(all_1023_2) =
% 290.45/57.34 | all_1023_1 & $i(all_1023_0) & $i(all_1023_1) & $i(all_1023_2) & !
% 290.45/57.34 | [v0: any] : (v0 = all_1023_1 | v0 = all_1023_2 | ~ $i(v0) | ~
% 290.45/57.34 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, all_1023_0))
% 290.45/57.34 |
% 290.45/57.34 | ALPHA: (546) implies:
% 290.45/57.34 | (547) $i(all_1023_0)
% 290.45/57.34 | (548) c_Nat_OSuc(all_1023_2) = all_1023_1
% 290.45/57.34 | (549) c_Nat_OSuc(all_1023_1) = all_1023_0
% 290.45/57.34 | (550) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1023_2
% 290.45/57.34 |
% 290.45/57.34 | DELTA: instantiating (269) with fresh symbol all_1029_0 gives:
% 290.45/57.34 | (551) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1029_0 &
% 290.45/57.34 | $i(all_1029_0) & ! [v0: $i] : ! [v1: $i] : ( ~ (c_Nat_OSuc(v1) =
% 290.45/57.34 | v0) | ~ $i(v1) | ~ $i(v0) |
% 290.45/57.34 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1029_0, v0)) & !
% 290.45/57.34 | [v0: $i] : ( ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 290.45/57.34 | all_1029_0, v0) | ? [v1: $i] : (c_Nat_OSuc(v1) = v0 & $i(v1)))
% 290.45/57.34 |
% 290.45/57.34 | ALPHA: (551) implies:
% 290.45/57.34 | (552) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1029_0
% 290.45/57.34 |
% 290.45/57.34 | DELTA: instantiating (113) with fresh symbol all_1032_0 gives:
% 290.45/57.35 | (553) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1032_0 &
% 290.45/57.35 | $i(all_1032_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 290.45/57.35 | $i] : ( ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v2,
% 290.45/57.35 | v0) = v3) | ~ $i(v1) | ~ $i(v0) | ~
% 290.45/57.35 | class_Rings_Ocomm__semiring__1(v1) | ? [v4: $i] :
% 290.45/57.35 | (c_Groups_Oone__class_Oone(v1) = v4 & hAPP(v3, all_1032_0) = v4 &
% 290.45/57.35 | $i(v4)))
% 290.45/57.35 |
% 290.45/57.35 | ALPHA: (553) implies:
% 290.45/57.35 | (554) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1032_0
% 290.45/57.35 |
% 290.45/57.35 | DELTA: instantiating (45) with fresh symbols all_1038_0, all_1038_1 gives:
% 290.45/57.35 | (555) c_Int_OBit1(c_Int_OPls) = all_1038_1 & c_Int_OBit0(all_1038_1) =
% 290.45/57.35 | all_1038_0 & $i(all_1038_0) & $i(all_1038_1) & ! [v0: $i] : ! [v1:
% 290.45/57.35 | $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v0, all_1038_0) = v1) |
% 290.45/57.35 | ~ $i(v0) | ~ class_Int_Onumber__ring(v0) | ? [v2: $i] :
% 290.45/57.35 | (c_Groups_Oplus__class_Oplus(v0, v2, v2) = v1 &
% 290.45/57.35 | c_Groups_Oone__class_Oone(v0) = v2 & $i(v2) & $i(v1)))
% 290.45/57.35 |
% 290.45/57.35 | ALPHA: (555) implies:
% 290.45/57.35 | (556) c_Int_OBit0(all_1038_1) = all_1038_0
% 290.45/57.35 | (557) c_Int_OBit1(c_Int_OPls) = all_1038_1
% 290.45/57.35 |
% 290.45/57.35 | DELTA: instantiating (161) with fresh symbols all_1041_0, all_1041_1 gives:
% 290.45/57.35 | (558) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1041_1 &
% 290.45/57.35 | c_Groups_Otimes__class_Otimes(tc_Int_Oint) = all_1041_0 &
% 290.45/57.35 | $i(all_1041_0) & $i(all_1041_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 290.45/57.35 | $i] : ! [v3: $i] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_1041_0,
% 290.45/57.35 | v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 290.45/57.35 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1041_1, v1) | ~
% 290.45/57.35 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1041_1, v0) |
% 290.45/57.35 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1041_1, v3))
% 290.45/57.35 |
% 290.45/57.35 | ALPHA: (558) implies:
% 290.45/57.35 | (559) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1041_1
% 290.45/57.35 |
% 290.45/57.35 | DELTA: instantiating (111) with fresh symbols all_1044_0, all_1044_1,
% 290.45/57.35 | all_1044_2, all_1044_3, all_1044_4 gives:
% 290.45/57.35 | (560) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1044_4 &
% 290.45/57.35 | c_Nat_OSuc(all_1044_3) = all_1044_2 & c_Nat_OSuc(all_1044_4) =
% 290.45/57.35 | all_1044_3 & c_Int_OBit1(c_Int_OPls) = all_1044_1 &
% 290.45/57.35 | c_Int_OBit0(all_1044_1) = all_1044_0 &
% 290.45/57.35 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1044_0) =
% 290.45/57.35 | all_1044_2 & $i(all_1044_0) & $i(all_1044_1) & $i(all_1044_2) &
% 290.45/57.35 | $i(all_1044_3) & $i(all_1044_4)
% 290.45/57.35 |
% 290.45/57.35 | ALPHA: (560) implies:
% 290.45/57.35 | (561) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1044_0) =
% 290.45/57.35 | all_1044_2
% 290.45/57.35 | (562) c_Int_OBit0(all_1044_1) = all_1044_0
% 290.45/57.35 | (563) c_Int_OBit1(c_Int_OPls) = all_1044_1
% 290.45/57.35 | (564) c_Nat_OSuc(all_1044_4) = all_1044_3
% 290.45/57.35 | (565) c_Nat_OSuc(all_1044_3) = all_1044_2
% 290.45/57.35 | (566) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1044_4
% 290.45/57.35 |
% 290.45/57.35 | DELTA: instantiating (241) with fresh symbols all_1046_0, all_1046_1,
% 290.45/57.35 | all_1046_2, all_1046_3, all_1046_4 gives:
% 290.45/57.35 | (567) c_NthRoot_Osqrt(all_1046_1) = all_1046_0 &
% 290.45/57.35 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1046_4 &
% 290.45/57.35 | c_Int_OBit1(c_Int_OPls) = all_1046_3 & c_Int_OBit0(all_1046_3) =
% 290.45/57.35 | all_1046_2 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 290.45/57.35 | all_1046_2) = all_1046_1 & $i(all_1046_0) & $i(all_1046_1) &
% 290.45/57.35 | $i(all_1046_2) & $i(all_1046_3) & $i(all_1046_4) &
% 290.45/57.35 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1046_4,
% 290.45/57.35 | all_1046_0)
% 290.45/57.35 |
% 290.45/57.35 | ALPHA: (567) implies:
% 290.45/57.35 | (568) $i(all_1046_1)
% 290.45/57.35 | (569) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1046_2) =
% 290.45/57.35 | all_1046_1
% 290.45/57.35 | (570) c_Int_OBit0(all_1046_3) = all_1046_2
% 290.45/57.35 | (571) c_Int_OBit1(c_Int_OPls) = all_1046_3
% 290.45/57.35 | (572) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1046_4
% 290.45/57.35 |
% 290.45/57.35 | DELTA: instantiating (220) with fresh symbols all_1048_0, all_1048_1 gives:
% 290.45/57.35 | (573) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1048_1 &
% 290.45/57.35 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1048_0 &
% 290.45/57.35 | $i(all_1048_0) & $i(all_1048_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 290.45/57.35 | $i] : ! [v3: $i] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_1048_0,
% 290.45/57.35 | v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 290.45/57.35 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1048_1, v1) |
% 290.45/57.35 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1048_1, v0) |
% 290.45/57.35 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1048_1, v3))
% 290.45/57.35 |
% 290.45/57.35 | ALPHA: (573) implies:
% 290.45/57.35 | (574) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1048_0
% 290.45/57.35 | (575) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1048_1
% 290.45/57.35 |
% 290.45/57.35 | DELTA: instantiating (65) with fresh symbols all_1051_0, all_1051_1,
% 290.45/57.35 | all_1051_2, all_1051_3 gives:
% 290.45/57.35 | (576) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1051_2 &
% 290.45/57.35 | c_Nat_OSuc(all_1051_2) = all_1051_1 &
% 290.45/57.35 | c_Power_Opower__class_Opower(tc_Nat_Onat) = all_1051_3 &
% 290.45/57.35 | hAPP(all_1051_3, all_1051_1) = all_1051_0 & $i(all_1051_0) &
% 290.45/57.35 | $i(all_1051_1) & $i(all_1051_2) & $i(all_1051_3) & ! [v0: $i] : !
% 290.45/57.35 | [v1: int] : (v1 = all_1051_1 | ~ (hAPP(all_1051_0, v0) = v1) | ~
% 290.45/57.35 | $i(v0))
% 290.45/57.35 |
% 290.45/57.35 | ALPHA: (576) implies:
% 290.45/57.35 | (577) c_Nat_OSuc(all_1051_2) = all_1051_1
% 290.45/57.35 | (578) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1051_2
% 290.45/57.35 |
% 290.45/57.35 | DELTA: instantiating (244) with fresh symbols all_1054_0, all_1054_1,
% 290.45/57.35 | all_1054_2, all_1054_3, all_1054_4 gives:
% 290.45/57.35 | (579) c_NthRoot_Osqrt(all_1054_1) = all_1054_0 & c_Int_OBit1(c_Int_OPls) =
% 290.45/57.35 | all_1054_3 & c_Int_OBit0(all_1054_3) = all_1054_2 &
% 290.45/57.35 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1054_2) =
% 290.45/57.35 | all_1054_1 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1054_4
% 290.45/57.35 | & $i(all_1054_0) & $i(all_1054_1) & $i(all_1054_2) & $i(all_1054_3) &
% 290.45/57.35 | $i(all_1054_4) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 290.45/57.35 | all_1054_4, all_1054_0)
% 290.45/57.35 |
% 290.45/57.35 | ALPHA: (579) implies:
% 290.45/57.35 | (580) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1054_4
% 290.45/57.35 | (581) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1054_2) =
% 290.45/57.35 | all_1054_1
% 290.45/57.35 | (582) c_Int_OBit0(all_1054_3) = all_1054_2
% 290.45/57.35 | (583) c_Int_OBit1(c_Int_OPls) = all_1054_3
% 290.45/57.35 |
% 290.45/57.35 | DELTA: instantiating (118) with fresh symbols all_1056_0, all_1056_1,
% 290.45/57.35 | all_1056_2, all_1056_3, all_1056_4 gives:
% 290.45/57.35 | (584) c_NthRoot_Osqrt(all_1056_1) = all_1056_0 &
% 290.45/57.35 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1056_4 &
% 290.45/57.35 | c_Int_OBit1(c_Int_OPls) = all_1056_3 & c_Int_OBit0(all_1056_3) =
% 290.45/57.35 | all_1056_2 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 290.45/57.35 | all_1056_2) = all_1056_1 & $i(all_1056_0) & $i(all_1056_1) &
% 290.45/57.35 | $i(all_1056_2) & $i(all_1056_3) & $i(all_1056_4) &
% 290.45/57.35 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1056_4,
% 290.45/57.35 | all_1056_0)
% 290.45/57.35 |
% 290.45/57.35 | ALPHA: (584) implies:
% 290.45/57.35 | (585) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1056_2) =
% 290.45/57.35 | all_1056_1
% 290.45/57.35 | (586) c_Int_OBit0(all_1056_3) = all_1056_2
% 290.45/57.35 | (587) c_Int_OBit1(c_Int_OPls) = all_1056_3
% 290.87/57.35 | (588) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1056_4
% 290.87/57.35 |
% 290.87/57.35 | DELTA: instantiating (110) with fresh symbols all_1058_0, all_1058_1,
% 290.87/57.35 | all_1058_2, all_1058_3, all_1058_4 gives:
% 290.87/57.35 | (589) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1058_1 &
% 290.87/57.35 | c_Nat_OSuc(all_1058_0) = all_1058_2 & c_Nat_OSuc(all_1058_1) =
% 290.87/57.35 | all_1058_0 & c_Int_OBit1(c_Int_OPls) = all_1058_4 &
% 290.87/57.35 | c_Int_OBit0(all_1058_4) = all_1058_3 &
% 290.87/57.35 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1058_3) =
% 290.87/57.35 | all_1058_2 & $i(all_1058_0) & $i(all_1058_1) & $i(all_1058_2) &
% 290.87/57.35 | $i(all_1058_3) & $i(all_1058_4)
% 290.87/57.35 |
% 290.87/57.35 | ALPHA: (589) implies:
% 290.87/57.35 | (590) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1058_3) =
% 290.87/57.35 | all_1058_2
% 290.87/57.35 | (591) c_Int_OBit0(all_1058_4) = all_1058_3
% 290.87/57.35 | (592) c_Int_OBit1(c_Int_OPls) = all_1058_4
% 290.87/57.35 | (593) c_Nat_OSuc(all_1058_1) = all_1058_0
% 290.87/57.35 | (594) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1058_1
% 290.87/57.35 |
% 290.87/57.35 | DELTA: instantiating (193) with fresh symbol all_1063_0 gives:
% 290.87/57.35 | (595) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1063_0 &
% 290.87/57.35 | $i(all_1063_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 =
% 290.87/57.35 | all_1063_0 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0)
% 290.87/57.35 | = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 290.87/57.35 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0)) & ! [v0:
% 290.87/57.35 | $i] : ! [v1: $i] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,
% 290.87/57.35 | v1, v0) = all_1063_0) | ~ $i(v1) | ~ $i(v0) |
% 290.87/57.35 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0))
% 290.87/57.35 |
% 290.87/57.35 | ALPHA: (595) implies:
% 290.87/57.35 | (596) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1063_0
% 290.87/57.35 |
% 290.87/57.35 | DELTA: instantiating (105) with fresh symbols all_1069_0, all_1069_1,
% 290.87/57.35 | all_1069_2 gives:
% 290.87/57.35 | (597) c_Int_OBit1(c_Int_OPls) = all_1069_2 & c_Int_OBit0(all_1069_2) =
% 290.87/57.35 | all_1069_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 290.87/57.35 | all_1069_1) = all_1069_0 & $i(all_1069_0) & $i(all_1069_1) &
% 290.87/57.35 | $i(all_1069_2) & ! [v0: $i] : ! [v1: $i] : ( ~
% 290.87/57.35 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, all_1069_0) = v1) |
% 290.87/57.35 | ~ $i(v0) | ? [v2: $i] : (c_Nat_OSuc(v2) = v1 & c_Nat_OSuc(v0) = v2
% 290.87/57.35 | & $i(v2) & $i(v1)))
% 290.87/57.35 |
% 290.87/57.35 | ALPHA: (597) implies:
% 290.87/57.35 | (598) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1069_1) =
% 290.87/57.35 | all_1069_0
% 290.87/57.35 | (599) c_Int_OBit0(all_1069_2) = all_1069_1
% 290.87/57.35 | (600) c_Int_OBit1(c_Int_OPls) = all_1069_2
% 290.87/57.35 |
% 290.87/57.35 | DELTA: instantiating (104) with fresh symbols all_1072_0, all_1072_1,
% 290.87/57.35 | all_1072_2 gives:
% 290.87/57.35 | (601) c_Int_OBit1(c_Int_OPls) = all_1072_2 & c_Int_OBit0(all_1072_2) =
% 290.87/57.35 | all_1072_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 290.87/57.35 | all_1072_1) = all_1072_0 & $i(all_1072_0) & $i(all_1072_1) &
% 290.87/57.35 | $i(all_1072_2) & ! [v0: $i] : ! [v1: $i] : ( ~
% 290.87/57.35 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_1072_0, v0) = v1) |
% 290.87/57.35 | ~ $i(v0) | ? [v2: $i] : (c_Nat_OSuc(v2) = v1 & c_Nat_OSuc(v0) = v2
% 290.87/57.35 | & $i(v2) & $i(v1)))
% 290.87/57.35 |
% 290.87/57.35 | ALPHA: (601) implies:
% 290.87/57.35 | (602) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1072_1) =
% 290.87/57.35 | all_1072_0
% 290.87/57.35 | (603) c_Int_OBit0(all_1072_2) = all_1072_1
% 290.87/57.35 | (604) c_Int_OBit1(c_Int_OPls) = all_1072_2
% 290.87/57.35 |
% 290.87/57.35 | DELTA: instantiating (78) with fresh symbol all_1075_0 gives:
% 290.87/57.35 | (605) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1075_0 &
% 290.87/57.35 | $i(all_1075_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 290.87/57.35 | (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v1, v0) = v2) | ~
% 290.87/57.35 | $i(v1) | ~ $i(v0) | ~
% 290.87/57.35 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, all_1075_0)
% 290.87/57.35 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0)) & !
% 290.87/57.35 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 290.87/57.35 | (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v1, v0) = v2) | ~
% 290.87/57.35 | $i(v1) | ~ $i(v0) | ~
% 290.87/57.35 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) |
% 290.87/57.35 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2,
% 290.87/57.35 | all_1075_0))
% 290.87/57.35 |
% 290.87/57.35 | ALPHA: (605) implies:
% 290.87/57.35 | (606) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1075_0
% 290.87/57.35 |
% 290.87/57.35 | DELTA: instantiating (120) with fresh symbol all_1078_0 gives:
% 290.87/57.35 | (607) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1078_0 &
% 290.87/57.35 | $i(all_1078_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 290.87/57.35 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 290.87/57.35 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) = v6) | ~
% 290.87/57.35 | (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_1078_0,
% 290.87/57.35 | v1) = v2) | ~ (hAPP(all_1078_0, v0) = v4) | ~ $i(v1) | ~
% 290.87/57.35 | $i(v0) | ? [v7: $i] : (c_NthRoot_Osqrt(v6) = v7 & $i(v7) &
% 290.87/57.35 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v7)))
% 290.87/57.35 |
% 290.87/57.35 | ALPHA: (607) implies:
% 290.87/57.35 | (608) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1078_0
% 290.87/57.35 |
% 290.87/57.35 | DELTA: instantiating (94) with fresh symbols all_1081_0, all_1081_1 gives:
% 290.87/57.35 | (609) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1081_1 &
% 290.87/57.35 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1081_0 &
% 290.87/57.35 | $i(all_1081_0) & $i(all_1081_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 290.87/57.35 | any] : ! [v3: $i] : ! [v4: $i] : (v2 = all_1081_1 | v1 = v0 | ~
% 290.87/57.35 | (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_1081_0,
% 290.87/57.35 | v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0))
% 290.87/57.35 |
% 290.87/57.35 | ALPHA: (609) implies:
% 290.87/57.35 | (610) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1081_0
% 290.87/57.35 | (611) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1081_1
% 290.87/57.35 |
% 290.87/57.35 | DELTA: instantiating (177) with fresh symbol all_1084_0 gives:
% 290.87/57.35 | (612) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1084_0 &
% 290.87/57.35 | $i(all_1084_0) & ! [v0: $i] : ! [v1: any] : (v1 = all_1084_0 | ~
% 290.87/57.35 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_1084_0) |
% 290.87/57.35 | ~ $i(v1) | ~ $i(v0)) & ! [v0: any] : ! [v1: $i] : (v0 =
% 290.87/57.35 | all_1084_0 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) =
% 290.87/57.35 | all_1084_0) | ~ $i(v1) | ~ $i(v0)) & ! [v0: int] : (v0 =
% 290.87/57.35 | all_1084_0 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,
% 290.87/57.35 | all_1084_0, all_1084_0) = v0))
% 290.87/57.35 |
% 290.87/57.35 | ALPHA: (612) implies:
% 290.87/57.35 | (613) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1084_0
% 290.87/57.35 |
% 290.87/57.35 | DELTA: instantiating (222) with fresh symbols all_1087_0, all_1087_1 gives:
% 290.87/57.35 | (614) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1087_1 &
% 290.87/57.35 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1087_0 &
% 290.87/57.35 | $i(all_1087_0) & $i(all_1087_1) & ! [v0: any] : ! [v1: $i] : !
% 290.87/57.35 | [v2: $i] : (v0 = all_1087_1 | ~ (hAPP(v1, v0) = v2) | ~
% 290.87/57.35 | (hAPP(all_1087_0, v0) = v1) | ~ $i(v0) |
% 290.87/57.35 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1087_1, v2)) &
% 290.87/57.35 | ! [v0: $i] : ! [v1: $i] : ( ~ (hAPP(v0, all_1087_1) = v1) | ~
% 290.87/57.35 | (hAPP(all_1087_0, all_1087_1) = v0) | ~
% 290.87/57.35 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1087_1, v1))
% 290.87/57.35 |
% 290.87/57.35 | ALPHA: (614) implies:
% 290.87/57.35 | (615) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1087_0
% 290.87/57.35 | (616) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1087_1
% 290.87/57.35 |
% 290.87/57.35 | DELTA: instantiating (46) with fresh symbols all_1090_0, all_1090_1,
% 290.87/57.35 | all_1090_2 gives:
% 290.87/57.35 | (617) c_Groups_Otimes__class_Otimes(tc_Int_Oint) = all_1090_2 &
% 290.87/57.35 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OMin) =
% 290.87/57.35 | all_1090_0 & c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1090_1 &
% 290.87/57.35 | $i(all_1090_0) & $i(all_1090_1) & $i(all_1090_2) & ! [v0: $i] : !
% 290.87/57.35 | [v1: any] : ! [v2: $i] : (v1 = all_1090_0 | v1 = all_1090_1 | ~
% 290.87/57.35 | (hAPP(v2, v0) = all_1090_1) | ~ (hAPP(all_1090_2, v1) = v2) | ~
% 290.87/57.35 | $i(v1) | ~ $i(v0))
% 290.87/57.35 |
% 290.87/57.35 | ALPHA: (617) implies:
% 290.87/57.35 | (618) c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OMin) =
% 290.87/57.35 | all_1090_0
% 290.87/57.35 |
% 290.87/57.35 | DELTA: instantiating (82) with fresh symbols all_1093_0, all_1093_1,
% 290.87/57.35 | all_1093_2 gives:
% 290.87/57.35 | (619) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1093_2 &
% 290.87/57.35 | c_Nat_OSuc(all_1093_2) = all_1093_1 &
% 290.87/57.35 | c_Power_Opower__class_Opower(tc_Nat_Onat) = all_1093_0 &
% 290.87/57.35 | $i(all_1093_0) & $i(all_1093_1) & $i(all_1093_2) & ! [v0: $i] : !
% 290.87/57.35 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (hAPP(v2, v0) = v3) | ~
% 290.87/57.35 | (hAPP(all_1093_0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 290.87/57.35 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_1093_1, v1) |
% 290.87/57.35 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_1093_1, v3))
% 290.87/57.35 |
% 290.87/57.35 | ALPHA: (619) implies:
% 290.87/57.35 | (620) c_Nat_OSuc(all_1093_2) = all_1093_1
% 290.87/57.35 | (621) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1093_2
% 290.87/57.35 |
% 290.87/57.35 | DELTA: instantiating (194) with fresh symbols all_1096_0, all_1096_1,
% 290.87/57.35 | all_1096_2 gives:
% 290.87/57.35 | (622) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1096_0 &
% 290.87/57.35 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1096_2 &
% 290.87/57.35 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1096_1 & $i(all_1096_0)
% 290.87/57.35 | & $i(all_1096_1) & $i(all_1096_2) & ! [v0: any] : ! [v1: any] : !
% 290.87/57.35 | [v2: $i] : (v1 = all_1096_0 | v0 = all_1096_1 | ~ (hAPP(v2, v0) =
% 290.87/57.35 | v1) | ~ (hAPP(all_1096_2, v1) = v2) | ~ $i(v1) | ~ $i(v0))
% 290.87/57.35 |
% 290.87/57.36 | ALPHA: (622) implies:
% 290.87/57.36 | (623) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1096_1
% 290.87/57.36 | (624) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1096_0
% 290.87/57.36 |
% 290.87/57.36 | DELTA: instantiating (156) with fresh symbol all_1099_0 gives:
% 290.87/57.36 | (625) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1099_0 &
% 290.87/57.36 | $i(all_1099_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 290.87/57.36 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~
% 290.87/57.36 | $i(v0) | ~ class_RealVector_Oreal__normed__vector(v1) | ? [v3:
% 290.87/57.36 | $i] : (( ~ (v2 = all_1099_0) | (v3 = v0 &
% 290.87/57.36 | c_Groups_Ozero__class_Ozero(v1) = v0)) & (v2 = all_1099_0 | (
% 290.87/57.36 | ~ (v3 = v0) & c_Groups_Ozero__class_Ozero(v1) = v3 &
% 290.87/57.36 | $i(v3)))))
% 290.87/57.36 |
% 290.87/57.36 | ALPHA: (625) implies:
% 290.87/57.36 | (626) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1099_0
% 290.87/57.36 |
% 290.87/57.36 | DELTA: instantiating (41) with fresh symbol all_1105_0 gives:
% 290.87/57.36 | (627) c_Int_OBit1(c_Int_OPls) = all_1105_0 & $i(all_1105_0) & ! [v0: $i] :
% 290.87/57.36 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 290.87/57.36 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_1105_0) = v2) |
% 290.87/57.36 | ~ (c_Int_Onumber__class_Onumber__of(v1, v2) = v3) | ~ $i(v1) | ~
% 290.87/57.36 | $i(v0) | ~ class_Int_Onumber__ring(v1) | ? [v4: $i] : ? [v5: $i]
% 290.87/57.36 | : (c_Groups_Oplus__class_Oplus(v1, v4, v5) = v3 &
% 290.87/57.36 | c_Int_Onumber__class_Onumber__of(v1, v0) = v4 &
% 290.87/57.36 | c_Groups_Oone__class_Oone(v1) = v5 & $i(v5) & $i(v4) & $i(v3)))
% 290.87/57.36 |
% 290.87/57.36 | ALPHA: (627) implies:
% 290.87/57.36 | (628) c_Int_OBit1(c_Int_OPls) = all_1105_0
% 290.87/57.36 |
% 290.87/57.36 | DELTA: instantiating (44) with fresh symbols all_1111_0, all_1111_1 gives:
% 290.87/57.36 | (629) c_Int_OBit1(c_Int_OPls) = all_1111_1 & c_Int_OBit0(all_1111_1) =
% 290.87/57.36 | all_1111_0 & $i(all_1111_0) & $i(all_1111_1) & ! [v0: $i] : ! [v1:
% 290.87/57.36 | $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 290.87/57.36 | (c_Groups_Otimes__class_Otimes(v1) = v2) | ~
% 290.87/57.36 | (c_Int_Onumber__class_Onumber__of(v1, all_1111_0) = v3) | ~
% 290.87/57.36 | (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v3) = v4) | ~ $i(v1) | ~
% 290.87/57.36 | $i(v0) | ~ class_Int_Onumber__ring(v1) |
% 290.87/57.36 | (c_Groups_Oplus__class_Oplus(v1, v0, v0) = v5 & $i(v5)))
% 290.87/57.36 |
% 290.87/57.36 | ALPHA: (629) implies:
% 290.87/57.36 | (630) c_Int_OBit0(all_1111_1) = all_1111_0
% 290.87/57.36 | (631) c_Int_OBit1(c_Int_OPls) = all_1111_1
% 290.87/57.36 |
% 290.87/57.36 | DELTA: instantiating (219) with fresh symbols all_1114_0, all_1114_1 gives:
% 290.87/57.36 | (632) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1114_1 &
% 290.87/57.36 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1114_0 &
% 290.87/57.36 | $i(all_1114_0) & $i(all_1114_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 290.87/57.36 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v3, v1) =
% 290.87/57.36 | v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_1114_0, v2) = v3) |
% 290.87/57.36 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 290.87/57.36 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) | ~
% 290.87/57.36 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1114_1, v2) |
% 290.87/57.36 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v5))
% 290.87/57.36 |
% 290.87/57.36 | ALPHA: (632) implies:
% 290.87/57.36 | (633) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1114_0
% 290.87/57.36 | (634) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1114_1
% 290.87/57.36 |
% 290.87/57.36 | DELTA: instantiating (246) with fresh symbols all_1123_0, all_1123_1 gives:
% 290.87/57.36 | (635) c_Int_OBit1(c_Int_OPls) = all_1123_1 & c_Int_OBit0(all_1123_1) =
% 290.87/57.36 | all_1123_0 & $i(all_1123_0) & $i(all_1123_1) & ! [v0: $i] : ! [v1:
% 290.87/57.36 | $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 290.87/57.36 | (c_Rings_Oinverse__class_Odivide(v0, v1, v2) = v3) | ~
% 290.87/57.36 | (c_Int_Onumber__class_Onumber__of(v0, all_1123_0) = v2) | ~
% 290.87/57.36 | (c_Groups_Oone__class_Oone(v0) = v1) | ~ $i(v0) | ~
% 290.87/57.36 | class_Fields_Olinordered__field__inverse__zero(v0) | ~
% 290.87/57.36 | class_Int_Onumber__ring(v0) | ? [v4: $i] :
% 290.87/57.36 | (c_Groups_Ozero__class_Ozero(v0) = v4 & $i(v4) &
% 290.87/57.36 | c_Orderings_Oord__class_Oless(v0, v4, v3)))
% 290.87/57.36 |
% 290.87/57.36 | ALPHA: (635) implies:
% 290.87/57.36 | (636) c_Int_OBit0(all_1123_1) = all_1123_0
% 290.87/57.36 | (637) c_Int_OBit1(c_Int_OPls) = all_1123_1
% 290.87/57.36 |
% 290.87/57.36 | DELTA: instantiating (95) with fresh symbols all_1126_0, all_1126_1 gives:
% 290.87/57.36 | (638) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1126_1 &
% 290.87/57.36 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1126_0 &
% 290.87/57.36 | $i(all_1126_0) & $i(all_1126_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 290.87/57.36 | any] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v2 = all_1126_1 |
% 290.87/57.36 | v1 = v0 | ~ (hAPP(v5, v2) = v4) | ~ (hAPP(v3, v2) = v4) | ~
% 290.87/57.36 | (hAPP(all_1126_0, v1) = v3) | ~ (hAPP(all_1126_0, v0) = v5) | ~
% 290.87/57.36 | $i(v2) | ~ $i(v1) | ~ $i(v0))
% 290.87/57.36 |
% 290.87/57.36 | ALPHA: (638) implies:
% 290.87/57.36 | (639) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1126_0
% 290.87/57.36 | (640) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1126_1
% 290.87/57.36 |
% 290.87/57.36 | DELTA: instantiating (242) with fresh symbols all_1129_0, all_1129_1,
% 290.87/57.36 | all_1129_2 gives:
% 290.87/57.36 | (641) c_Int_OBit1(c_Int_OPls) = all_1129_2 & c_Int_OBit0(all_1129_2) =
% 290.87/57.36 | all_1129_1 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 290.87/57.36 | all_1129_1) = all_1129_0 & $i(all_1129_0) & $i(all_1129_1) &
% 290.87/57.36 | $i(all_1129_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 290.87/57.36 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~
% 290.87/57.36 | $i(v1) | ~ $i(v0) | ~
% 290.87/57.36 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) | ? [v3:
% 290.87/57.36 | $i] : (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2,
% 290.87/57.36 | all_1129_0) = v3 & $i(v3) &
% 290.87/57.36 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v3)))
% 290.87/57.36 |
% 290.87/57.36 | ALPHA: (641) implies:
% 290.87/57.36 | (642) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1129_1) =
% 290.87/57.36 | all_1129_0
% 290.87/57.36 | (643) c_Int_OBit0(all_1129_2) = all_1129_1
% 290.87/57.36 | (644) c_Int_OBit1(c_Int_OPls) = all_1129_2
% 290.87/57.36 |
% 290.87/57.36 | DELTA: instantiating (136) with fresh symbols all_1132_0, all_1132_1,
% 290.87/57.36 | all_1132_2 gives:
% 290.87/57.36 | (645) c_Int_OBit1(c_Int_OPls) = all_1132_2 & c_Int_OBit0(all_1132_2) =
% 290.87/57.36 | all_1132_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 290.87/57.36 | all_1132_1) = all_1132_0 & $i(all_1132_0) & $i(all_1132_1) &
% 290.87/57.36 | $i(all_1132_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 290.87/57.36 | $i] : ( ~ (c_Groups_Ozero__class_Ozero(v0) = v2) | ~
% 290.87/57.36 | (c_Power_Opower__class_Opower(v0) = v1) | ~ (hAPP(v1, v2) = v3) |
% 290.87/57.36 | ~ $i(v0) | ~ class_Rings_Osemiring__1(v0) | (hAPP(v3, all_1132_0)
% 290.87/57.36 | = v2 & $i(v2)))
% 290.87/57.36 |
% 290.87/57.36 | ALPHA: (645) implies:
% 290.87/57.36 | (646) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1132_1) =
% 290.87/57.36 | all_1132_0
% 290.87/57.36 | (647) c_Int_OBit0(all_1132_2) = all_1132_1
% 290.87/57.36 | (648) c_Int_OBit1(c_Int_OPls) = all_1132_2
% 290.87/57.36 |
% 290.87/57.36 | DELTA: instantiating (230) with fresh symbol all_1138_0 gives:
% 290.87/57.36 | (649) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1138_0 &
% 290.87/57.36 | $i(all_1138_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 290.87/57.36 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~
% 290.87/57.36 | $i(v0) | ~ class_RealVector_Oreal__normed__vector(v1) | ? [v3:
% 290.87/57.36 | $i] : (( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 290.87/57.36 | all_1138_0, v2) | ( ~ (v3 = v0) &
% 290.87/57.36 | c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3))) &
% 290.87/57.36 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1138_0, v2)
% 290.87/57.36 | | (v3 = v0 & c_Groups_Ozero__class_Ozero(v1) = v0))))
% 290.87/57.36 |
% 290.87/57.36 | ALPHA: (649) implies:
% 290.87/57.36 | (650) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1138_0
% 290.87/57.36 |
% 290.87/57.36 | DELTA: instantiating (99) with fresh symbols all_1141_0, all_1141_1,
% 290.87/57.36 | all_1141_2, all_1141_3, all_1141_4, all_1141_5 gives:
% 290.87/57.36 | (651) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1141_2 &
% 290.87/57.36 | c_Nat_OSuc(all_1141_0) = all_1141_3 & c_Nat_OSuc(all_1141_1) =
% 290.87/57.36 | all_1141_0 & c_Nat_OSuc(all_1141_2) = all_1141_1 &
% 290.87/57.36 | c_Int_OBit1(all_1141_5) = all_1141_4 & c_Int_OBit1(c_Int_OPls) =
% 290.87/57.36 | all_1141_5 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 290.87/57.36 | all_1141_4) = all_1141_3 & $i(all_1141_0) & $i(all_1141_1) &
% 290.87/57.36 | $i(all_1141_2) & $i(all_1141_3) & $i(all_1141_4) & $i(all_1141_5)
% 290.87/57.36 |
% 290.87/57.36 | ALPHA: (651) implies:
% 290.87/57.36 | (652) c_Int_OBit1(c_Int_OPls) = all_1141_5
% 290.87/57.36 | (653) c_Nat_OSuc(all_1141_2) = all_1141_1
% 290.87/57.36 | (654) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1141_2
% 290.87/57.36 |
% 290.87/57.36 | DELTA: instantiating (89) with fresh symbol all_1143_0 gives:
% 290.87/57.36 | (655) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1143_0 &
% 290.87/57.36 | $i(all_1143_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 290.87/57.36 | $i] : ! [v4: $i] : ( ~ (c_NthRoot_Osqrt(v1) = v2) | ~ (hAPP(v3,
% 290.87/57.36 | v0) = v4) | ~ (hAPP(all_1143_0, v2) = v3) | ~ $i(v1) | ~
% 290.87/57.36 | $i(v0) | ? [v5: $i] : ? [v6: $i] : (c_NthRoot_Osqrt(v6) = v4 &
% 290.87/57.36 | hAPP(v5, v0) = v6 & hAPP(all_1143_0, v1) = v5 & $i(v6) & $i(v5) &
% 290.87/57.36 | $i(v4)))
% 290.87/57.36 |
% 290.87/57.36 | ALPHA: (655) implies:
% 290.87/57.36 | (656) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1143_0
% 290.87/57.36 |
% 290.87/57.36 | DELTA: instantiating (40) with fresh symbol all_1148_0 gives:
% 290.87/57.36 | (657) c_Int_OBit1(c_Int_OPls) = all_1148_0 & $i(all_1148_0) & ! [v0: $i] :
% 290.87/57.36 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 290.87/57.36 | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_1148_0, v0) = v2) |
% 290.87/57.36 | ~ (c_Int_Onumber__class_Onumber__of(v1, v2) = v3) | ~ $i(v1) | ~
% 290.87/57.36 | $i(v0) | ~ class_Int_Onumber__ring(v1) | ? [v4: $i] : ? [v5: $i]
% 290.87/57.36 | : (c_Groups_Oplus__class_Oplus(v1, v4, v5) = v3 &
% 290.87/57.36 | c_Int_Onumber__class_Onumber__of(v1, v0) = v5 &
% 290.87/57.36 | c_Groups_Oone__class_Oone(v1) = v4 & $i(v5) & $i(v4) & $i(v3)))
% 290.87/57.36 |
% 290.87/57.36 | ALPHA: (657) implies:
% 290.87/57.36 | (658) c_Int_OBit1(c_Int_OPls) = all_1148_0
% 290.87/57.36 |
% 290.87/57.36 | DELTA: instantiating (277) with fresh symbols all_1151_0, all_1151_1 gives:
% 290.87/57.36 | (659) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1151_1 &
% 290.87/57.36 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1151_0 &
% 290.87/57.36 | $i(all_1151_0) & $i(all_1151_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 290.87/57.36 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v3, v2) =
% 290.87/57.36 | v4) | ~ (hAPP(v3, v1) = v5) | ~ (hAPP(all_1151_0, v0) = v3) |
% 290.87/57.36 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 290.87/57.36 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ~
% 290.87/57.36 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1151_1, v0) |
% 290.87/57.36 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5))
% 290.87/57.36 |
% 290.87/57.36 | ALPHA: (659) implies:
% 290.87/57.36 | (660) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1151_1
% 290.87/57.36 |
% 290.87/57.36 | DELTA: instantiating (133) with fresh symbols all_1154_0, all_1154_1,
% 290.87/57.36 | all_1154_2, all_1154_3 gives:
% 290.87/57.36 | (661) c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1154_3 &
% 290.87/57.36 | c_Int_OBit1(c_Int_OPls) = all_1154_2 & c_Int_OBit0(all_1154_2) =
% 290.87/57.36 | all_1154_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 290.87/57.36 | all_1154_1) = all_1154_0 & $i(all_1154_0) & $i(all_1154_1) &
% 290.87/57.36 | $i(all_1154_2) & $i(all_1154_3) & ! [v0: $i] : ! [v1: $i] : ( ~
% 290.87/57.36 | (hAPP(all_1154_3, v0) = v1) | ~ $i(v0) | ? [v2: $i] :
% 290.87/57.36 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v0) = v2 & hAPP(v1,
% 290.87/57.36 | all_1154_0) = v2 & $i(v2)))
% 290.87/57.36 |
% 290.87/57.36 | ALPHA: (661) implies:
% 290.87/57.36 | (662) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1154_1) =
% 290.87/57.36 | all_1154_0
% 290.87/57.36 | (663) c_Int_OBit0(all_1154_2) = all_1154_1
% 290.87/57.36 | (664) c_Int_OBit1(c_Int_OPls) = all_1154_2
% 290.87/57.36 |
% 290.87/57.36 | DELTA: instantiating (29) with fresh symbols all_1163_0, all_1163_1,
% 290.87/57.36 | all_1163_2, all_1163_3 gives:
% 290.87/57.36 | (665) c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1163_3 &
% 290.87/57.36 | c_Int_OBit1(c_Int_OPls) = all_1163_2 & c_Int_OBit0(all_1163_2) =
% 290.87/57.36 | all_1163_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 290.87/57.36 | all_1163_1) = all_1163_0 & $i(all_1163_0) & $i(all_1163_1) &
% 290.87/57.36 | $i(all_1163_2) & $i(all_1163_3) & ! [v0: $i] : ! [v1: $i] : ( ~
% 290.87/57.36 | (c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt(v0) = v1) | ~
% 290.87/57.36 | $i(v0) | ? [v2: $i] : (hAPP(v2, all_1163_0) = v0 &
% 290.87/57.36 | hAPP(all_1163_3, v1) = v2 & $i(v2)))
% 290.87/57.36 |
% 290.87/57.36 | ALPHA: (665) implies:
% 290.87/57.36 | (666) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1163_1) =
% 290.87/57.36 | all_1163_0
% 290.87/57.36 | (667) c_Int_OBit0(all_1163_2) = all_1163_1
% 290.87/57.36 | (668) c_Int_OBit1(c_Int_OPls) = all_1163_2
% 290.87/57.36 |
% 290.87/57.36 | DELTA: instantiating (10) with fresh symbols all_1166_0, all_1166_1,
% 290.87/57.36 | all_1166_2 gives:
% 290.87/57.36 | (669) c_Int_OBit1(c_Int_OPls) = all_1166_2 & c_Int_OBit0(all_1166_2) =
% 290.87/57.36 | all_1166_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 290.87/57.36 | all_1166_1) = all_1166_0 & $i(all_1166_0) & $i(all_1166_1) &
% 290.87/57.36 | $i(all_1166_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 290.87/57.36 | $i] : ( ~ (c_Power_Opower__class_Opower(v0) = v1) | ~
% 290.87/57.36 | (c_Groups_Oone__class_Oone(v0) = v2) | ~ (hAPP(v1, v2) = v3) | ~
% 290.87/57.36 | $i(v0) | ~ class_Rings_Osemiring__1(v0) | (hAPP(v3, all_1166_0) =
% 290.87/57.36 | v2 & $i(v2)))
% 290.87/57.36 |
% 290.87/57.36 | ALPHA: (669) implies:
% 290.87/57.36 | (670) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1166_1) =
% 290.87/57.36 | all_1166_0
% 290.87/57.36 | (671) c_Int_OBit0(all_1166_2) = all_1166_1
% 290.87/57.36 | (672) c_Int_OBit1(c_Int_OPls) = all_1166_2
% 290.87/57.36 |
% 290.87/57.36 | DELTA: instantiating (166) with fresh symbol all_1169_0 gives:
% 290.87/57.36 | (673) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1169_0 &
% 290.87/57.36 | $i(all_1169_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 290.87/57.36 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~
% 290.87/57.36 | $i(v0) | ~ class_RealVector_Oreal__normed__vector(v1) | ? [v3:
% 290.87/57.36 | $i] : (( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 290.87/57.36 | v2, all_1169_0) | (v3 = v0 & c_Groups_Ozero__class_Ozero(v1)
% 290.87/57.36 | = v0)) & (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 290.87/57.36 | v2, all_1169_0) | ( ~ (v3 = v0) &
% 290.87/57.36 | c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3)))))
% 290.87/57.36 |
% 290.87/57.36 | ALPHA: (673) implies:
% 290.87/57.36 | (674) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1169_0
% 290.87/57.36 |
% 290.87/57.36 | DELTA: instantiating (43) with fresh symbols all_1175_0, all_1175_1 gives:
% 290.87/57.36 | (675) c_Int_OBit1(c_Int_OPls) = all_1175_1 & c_Int_OBit0(all_1175_1) =
% 290.87/57.36 | all_1175_0 & $i(all_1175_0) & $i(all_1175_1) & ! [v0: $i] : ! [v1:
% 290.87/57.36 | $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 290.87/57.36 | (c_Groups_Otimes__class_Otimes(v1) = v2) | ~
% 290.87/57.36 | (c_Int_Onumber__class_Onumber__of(v1, all_1175_0) = v4) | ~
% 290.87/57.36 | (hAPP(v3, v4) = v5) | ~ (hAPP(v2, v0) = v3) | ~ $i(v1) | ~
% 290.87/57.36 | $i(v0) | ~ class_Int_Onumber__ring(v1) |
% 290.87/57.36 | (c_Groups_Oplus__class_Oplus(v1, v0, v0) = v5 & $i(v5)))
% 290.87/57.36 |
% 290.87/57.36 | ALPHA: (675) implies:
% 290.87/57.36 | (676) c_Int_OBit0(all_1175_1) = all_1175_0
% 290.87/57.36 | (677) c_Int_OBit1(c_Int_OPls) = all_1175_1
% 290.87/57.36 |
% 290.87/57.36 | DELTA: instantiating (164) with fresh symbols all_1178_0, all_1178_1,
% 290.87/57.36 | all_1178_2, all_1178_3, all_1178_4, all_1178_5 gives:
% 290.87/57.36 | (678) c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1178_5 &
% 290.87/57.36 | c_Int_OBit1(c_Int_OPls) = all_1178_3 & c_Int_OBit0(all_1178_3) =
% 290.87/57.36 | all_1178_2 & c_Int_Onumber__class_Onumber__of(tc_Complex_Ocomplex,
% 290.87/57.36 | c_Int_OMin) = all_1178_0 &
% 290.87/57.36 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1178_2) =
% 290.87/57.36 | all_1178_1 & hAPP(all_1178_4, all_1178_1) = all_1178_0 &
% 290.87/57.36 | hAPP(all_1178_5, c_Complex_Oii) = all_1178_4 & $i(all_1178_0) &
% 290.87/57.36 | $i(all_1178_1) & $i(all_1178_2) & $i(all_1178_3) & $i(all_1178_4) &
% 290.87/57.36 | $i(all_1178_5)
% 290.87/57.36 |
% 290.87/57.36 | ALPHA: (678) implies:
% 290.87/57.36 | (679) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1178_2) =
% 290.87/57.36 | all_1178_1
% 290.87/57.36 | (680) c_Int_OBit0(all_1178_3) = all_1178_2
% 290.87/57.36 | (681) c_Int_OBit1(c_Int_OPls) = all_1178_3
% 290.87/57.36 |
% 290.87/57.36 | DELTA: instantiating (243) with fresh symbols all_1180_0, all_1180_1,
% 290.87/57.36 | all_1180_2 gives:
% 290.87/57.36 | (682) c_Int_OBit1(c_Int_OPls) = all_1180_2 & c_Int_OBit0(all_1180_2) =
% 290.87/57.36 | all_1180_1 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 290.87/57.36 | all_1180_1) = all_1180_0 & $i(all_1180_0) & $i(all_1180_1) &
% 290.87/57.36 | $i(all_1180_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 290.87/57.36 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~
% 290.87/57.36 | $i(v1) | ~ $i(v0) | ~
% 290.87/57.36 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) | ? [v3:
% 290.87/57.36 | $i] : (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2,
% 290.87/57.36 | all_1180_0) = v3 & $i(v3) &
% 290.87/57.36 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0)))
% 290.87/57.36 |
% 290.87/57.36 | ALPHA: (682) implies:
% 290.87/57.36 | (683) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1180_1) =
% 290.87/57.36 | all_1180_0
% 290.87/57.36 | (684) c_Int_OBit0(all_1180_2) = all_1180_1
% 290.87/57.36 | (685) c_Int_OBit1(c_Int_OPls) = all_1180_2
% 290.87/57.36 |
% 290.87/57.36 | DELTA: instantiating (250) with fresh symbols all_1183_0, all_1183_1,
% 290.87/57.36 | all_1183_2, all_1183_3, all_1183_4 gives:
% 290.87/57.36 | (686) c_NthRoot_Osqrt(all_1183_1) = all_1183_0 &
% 290.87/57.36 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1183_4 &
% 290.87/57.36 | c_Int_OBit1(c_Int_OPls) = all_1183_3 & c_Int_OBit0(all_1183_3) =
% 290.87/57.36 | all_1183_2 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 290.87/57.36 | all_1183_2) = all_1183_1 & $i(all_1183_0) & $i(all_1183_1) &
% 290.87/57.36 | $i(all_1183_2) & $i(all_1183_3) & $i(all_1183_4) & ! [v0: $i] : !
% 290.87/57.36 | [v1: $i] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v0,
% 290.87/57.36 | all_1183_0) = v1) | ~ $i(v0) | ~
% 290.87/57.36 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1183_4, v0) |
% 290.87/57.36 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0))
% 290.87/57.36 |
% 290.87/57.36 | ALPHA: (686) implies:
% 290.87/57.36 | (687) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1183_2) =
% 290.87/57.36 | all_1183_1
% 290.87/57.37 | (688) c_Int_OBit0(all_1183_3) = all_1183_2
% 290.87/57.37 | (689) c_Int_OBit1(c_Int_OPls) = all_1183_3
% 290.87/57.37 | (690) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1183_4
% 290.87/57.37 |
% 290.87/57.37 | DELTA: instantiating (97) with fresh symbols all_1186_0, all_1186_1,
% 290.87/57.37 | all_1186_2 gives:
% 290.87/57.37 | (691) c_Int_OBit1(all_1186_2) = all_1186_1 & c_Int_OBit1(c_Int_OPls) =
% 290.87/57.37 | all_1186_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 290.87/57.37 | all_1186_1) = all_1186_0 & $i(all_1186_0) & $i(all_1186_1) &
% 290.87/57.37 | $i(all_1186_2) & ! [v0: $i] : ! [v1: $i] : ( ~
% 290.87/57.37 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_1186_0, v0) = v1) |
% 290.87/57.37 | ~ $i(v0) | ? [v2: $i] : ? [v3: $i] : (c_Nat_OSuc(v3) = v1 &
% 290.87/57.37 | c_Nat_OSuc(v2) = v3 & c_Nat_OSuc(v0) = v2 & $i(v3) & $i(v2) &
% 290.87/57.37 | $i(v1)))
% 290.87/57.37 |
% 290.87/57.37 | ALPHA: (691) implies:
% 290.87/57.37 | (692) c_Int_OBit1(c_Int_OPls) = all_1186_2
% 290.87/57.37 |
% 290.87/57.37 | DELTA: instantiating (132) with fresh symbols all_1192_0, all_1192_1,
% 290.87/57.37 | all_1192_2, all_1192_3, all_1192_4 gives:
% 290.87/57.37 | (693) c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1192_4 &
% 290.87/57.37 | c_Int_OBit1(c_Int_OPls) = all_1192_3 & c_Int_OBit0(all_1192_3) =
% 290.87/57.37 | all_1192_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 290.87/57.37 | all_1192_2) = all_1192_1 & hAPP(all_1192_4, all_1192_1) =
% 290.87/57.37 | all_1192_0 & $i(all_1192_0) & $i(all_1192_1) & $i(all_1192_2) &
% 290.87/57.37 | $i(all_1192_3) & $i(all_1192_4) & ! [v0: $i] : ! [v1: $i] : ( ~
% 290.87/57.37 | (hAPP(all_1192_0, v0) = v1) | ~ $i(v0) |
% 290.87/57.37 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v0) = v1 & $i(v1)))
% 290.87/57.37 |
% 290.87/57.37 | ALPHA: (693) implies:
% 290.87/57.37 | (694) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1192_2) =
% 290.87/57.37 | all_1192_1
% 290.87/57.37 | (695) c_Int_OBit0(all_1192_3) = all_1192_2
% 290.87/57.37 | (696) c_Int_OBit1(c_Int_OPls) = all_1192_3
% 290.87/57.37 |
% 290.87/57.37 | DELTA: instantiating (276) with fresh symbols all_1195_0, all_1195_1 gives:
% 290.87/57.37 | (697) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1195_1 &
% 290.87/57.37 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1195_0 &
% 290.87/57.37 | $i(all_1195_0) & $i(all_1195_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 290.87/57.37 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 290.87/57.37 | (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_1195_0,
% 290.87/57.37 | v2) = v3) | ~ (hAPP(all_1195_0, v1) = v5) | ~ $i(v2) | ~
% 290.87/57.37 | $i(v1) | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 290.87/57.37 | v2, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 290.87/57.37 | all_1195_1, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4,
% 290.87/57.37 | v6))
% 290.87/57.37 |
% 290.87/57.37 | ALPHA: (697) implies:
% 290.87/57.37 | (698) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1195_1
% 290.87/57.37 |
% 290.87/57.37 | DELTA: instantiating (153) with fresh symbols all_1198_0, all_1198_1 gives:
% 290.87/57.37 | (699) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1198_1 &
% 290.87/57.37 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1198_0 &
% 290.87/57.37 | $i(all_1198_0) & $i(all_1198_1) & ! [v0: $i] : ! [v1: any] : (v1 =
% 290.87/57.37 | all_1198_1 | ~ (c_Complex_Ocomplex_OComplex(v1, v0) =
% 290.87/57.37 | c_Complex_Oii) | ~ $i(v1) | ~ $i(v0)) & ! [v0: any] : ! [v1:
% 290.87/57.37 | $i] : (v0 = all_1198_0 | ~ (c_Complex_Ocomplex_OComplex(v1, v0) =
% 290.87/57.37 | c_Complex_Oii) | ~ $i(v1) | ~ $i(v0)) & ! [v0: $i] : (v0 =
% 290.87/57.37 | c_Complex_Oii | ~ (c_Complex_Ocomplex_OComplex(all_1198_1,
% 290.87/57.37 | all_1198_0) = v0))
% 290.87/57.37 |
% 290.87/57.37 | ALPHA: (699) implies:
% 290.87/57.37 | (700) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1198_0
% 290.87/57.37 | (701) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1198_1
% 290.87/57.37 |
% 290.87/57.37 | DELTA: instantiating (238) with fresh symbols all_1201_0, all_1201_1 gives:
% 290.87/57.37 | (702) c_Int_OBit1(c_Int_OPls) = all_1201_1 & c_Int_OBit0(all_1201_1) =
% 290.87/57.37 | all_1201_0 & $i(all_1201_0) & $i(all_1201_1) & ! [v0: $i] : ! [v1:
% 290.87/57.37 | $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 290.87/57.37 | (c_Rings_Oinverse__class_Odivide(v1, v0, v2) = v3) | ~
% 290.87/57.37 | (c_Int_Onumber__class_Onumber__of(v1, all_1201_0) = v2) | ~ $i(v1)
% 290.87/57.37 | | ~ $i(v0) | ~ class_Fields_Olinordered__field__inverse__zero(v1)
% 290.87/57.37 | | ~ class_Int_Onumber__ring(v1) | ? [v4: $i] :
% 290.87/57.37 | (c_Groups_Ozero__class_Ozero(v1) = v4 & $i(v4) & ( ~
% 290.87/57.37 | c_Orderings_Oord__class_Oless(v1, v4, v0) |
% 290.87/57.37 | c_Orderings_Oord__class_Oless(v1, v4, v3))))
% 290.87/57.37 |
% 290.87/57.37 | ALPHA: (702) implies:
% 290.87/57.37 | (703) c_Int_OBit0(all_1201_1) = all_1201_0
% 290.87/57.37 | (704) c_Int_OBit1(c_Int_OPls) = all_1201_1
% 290.87/57.37 |
% 290.87/57.37 | DELTA: instantiating (254) with fresh symbols all_1204_0, all_1204_1,
% 290.87/57.37 | all_1204_2 gives:
% 290.87/57.37 | (705) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1204_2 &
% 290.87/57.37 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1204_0 &
% 290.87/57.37 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1204_1 &
% 290.87/57.37 | $i(all_1204_0) & $i(all_1204_1) & $i(all_1204_2) & ! [v0: $i] : !
% 290.87/57.37 | [v1: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v0,
% 290.87/57.37 | all_1204_1) = v1) | ~ $i(v0) | ~
% 290.87/57.37 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1204_2, v0)
% 290.87/57.37 | | ? [v2: $i] : ? [v3: $i] : (c_RComplete_Onatceiling(v1) = v2 &
% 290.87/57.37 | c_RComplete_Onatceiling(v0) = v3 &
% 290.87/57.37 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, all_1204_0) = v2 &
% 290.87/57.37 | $i(v3) & $i(v2)))
% 290.87/57.37 |
% 290.87/57.37 | ALPHA: (705) implies:
% 290.87/57.37 | (706) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1204_1
% 290.87/57.37 | (707) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1204_0
% 290.87/57.37 | (708) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1204_2
% 290.87/57.37 |
% 290.87/57.37 | DELTA: instantiating (8) with fresh symbols all_1207_0, all_1207_1, all_1207_2
% 290.87/57.37 | gives:
% 290.87/57.37 | (709) c_Int_OBit1(c_Int_OPls) = all_1207_2 & c_Int_OBit0(all_1207_2) =
% 290.87/57.37 | all_1207_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 290.87/57.37 | all_1207_1) = all_1207_0 & $i(all_1207_0) & $i(all_1207_1) &
% 290.87/57.37 | $i(all_1207_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 290.87/57.37 | $i] : ! [v4: $i] : ! [v5: $i] : (v5 = v4 | ~
% 290.87/57.37 | (c_Power_Opower__class_Opower(v1) = v2) | ~
% 290.87/57.37 | (c_Groups_Oabs__class_Oabs(v1, v4) = v5) | ~ (hAPP(v3, all_1207_0)
% 290.87/57.37 | = v4) | ~ (hAPP(v2, v0) = v3) | ~ $i(v1) | ~ $i(v0) | ~
% 290.87/57.37 | class_Rings_Olinordered__idom(v1))
% 290.87/57.37 |
% 290.87/57.37 | ALPHA: (709) implies:
% 290.87/57.37 | (710) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1207_1) =
% 290.87/57.37 | all_1207_0
% 290.87/57.37 | (711) c_Int_OBit0(all_1207_2) = all_1207_1
% 290.87/57.37 | (712) c_Int_OBit1(c_Int_OPls) = all_1207_2
% 290.87/57.37 |
% 290.87/57.37 | DELTA: instantiating (215) with fresh symbol all_1213_0 gives:
% 290.87/57.37 | (713) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1213_0 &
% 290.87/57.37 | $i(all_1213_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 290.87/57.37 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 290.87/57.37 | (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v0) = v5) |
% 290.87/57.37 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 290.87/57.37 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1213_0, v0) | ~
% 290.87/57.37 | class_Rings_Olinordered__semidom(v2) | ? [v6: $i] :
% 290.87/57.37 | (c_Groups_Oone__class_Oone(v2) = v6 & $i(v6) & ( ~
% 290.87/57.37 | c_Orderings_Oord__class_Oless(v2, v6, v1) |
% 290.87/57.37 | c_Orderings_Oord__class_Oless(v2, v6, v5))))
% 290.87/57.37 |
% 290.87/57.37 | ALPHA: (713) implies:
% 290.87/57.37 | (714) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1213_0
% 290.87/57.37 |
% 290.87/57.37 | DELTA: instantiating (88) with fresh symbol all_1216_0 gives:
% 290.87/57.37 | (715) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1216_0 &
% 290.87/57.37 | $i(all_1216_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 290.87/57.37 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (c_NthRoot_Osqrt(v1) = v2) |
% 290.87/57.37 | ~ (c_NthRoot_Osqrt(v0) = v4) | ~ (hAPP(v3, v4) = v5) | ~
% 290.87/57.37 | (hAPP(all_1216_0, v2) = v3) | ~ $i(v1) | ~ $i(v0) | ? [v6: $i] :
% 290.87/57.37 | ? [v7: $i] : (c_NthRoot_Osqrt(v7) = v5 & hAPP(v6, v0) = v7 &
% 290.87/57.37 | hAPP(all_1216_0, v1) = v6 & $i(v7) & $i(v6) & $i(v5)))
% 290.87/57.37 |
% 290.87/57.37 | ALPHA: (715) implies:
% 290.87/57.37 | (716) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1216_0
% 290.87/57.37 |
% 290.87/57.37 | DELTA: instantiating (197) with fresh symbols all_1219_0, all_1219_1 gives:
% 290.87/57.37 | (717) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1219_1 &
% 290.87/57.37 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1219_0 &
% 290.87/57.37 | $i(all_1219_0) & $i(all_1219_1) & ! [v0: $i] : ! [v1: any] : !
% 290.87/57.37 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] :
% 290.87/57.37 | (v1 = all_1219_1 | ~ (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,
% 290.87/57.37 | v1) = v3) | ~ (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v0)
% 290.87/57.37 | = v5) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(all_1219_0, v2) = v4) |
% 290.87/57.37 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 290.87/57.37 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v6) | ~
% 290.87/57.37 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2,
% 290.87/57.37 | all_1219_1))
% 290.87/57.37 |
% 290.87/57.37 | ALPHA: (717) implies:
% 290.87/57.37 | (718) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1219_0
% 290.87/57.37 | (719) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1219_1
% 290.87/57.37 |
% 290.87/57.37 | DELTA: instantiating (98) with fresh symbols all_1222_0, all_1222_1 gives:
% 290.87/57.37 | (720) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1222_1 &
% 290.87/57.37 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1222_0 &
% 290.87/57.37 | $i(all_1222_0) & $i(all_1222_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 290.87/57.37 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 290.87/57.37 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) = v6) | ~
% 290.87/57.37 | (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_1222_0,
% 290.87/57.37 | v1) = v2) | ~ (hAPP(all_1222_0, v0) = v4) | ~ $i(v1) | ~
% 290.87/57.37 | $i(v0) | ? [v7: $i] : (c_NthRoot_Osqrt(v6) = v7 & $i(v7) &
% 290.87/57.37 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1222_1,
% 290.87/57.37 | v7)))
% 290.87/57.37 |
% 290.87/57.37 | ALPHA: (720) implies:
% 290.87/57.37 | (721) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1222_0
% 290.87/57.37 | (722) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1222_1
% 290.87/57.37 |
% 290.87/57.37 | DELTA: instantiating (68) with fresh symbols all_1225_0, all_1225_1 gives:
% 290.87/57.37 | (723) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1225_1 &
% 290.87/57.37 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1225_0 &
% 290.87/57.37 | $i(all_1225_0) & $i(all_1225_1) & ! [v0: $i] : ! [v1: any] : (v1 =
% 290.87/57.37 | all_1225_0 | ~ (c_Complex_Ocomplex_OComplex(v1, v0) = all_1225_1)
% 290.87/57.37 | | ~ $i(v1) | ~ $i(v0)) & ! [v0: any] : ! [v1: $i] : (v0 =
% 290.87/57.37 | all_1225_0 | ~ (c_Complex_Ocomplex_OComplex(v1, v0) = all_1225_1)
% 290.87/57.37 | | ~ $i(v1) | ~ $i(v0)) & ! [v0: int] : (v0 = all_1225_1 | ~
% 290.87/57.37 | (c_Complex_Ocomplex_OComplex(all_1225_0, all_1225_0) = v0))
% 290.87/57.37 |
% 290.87/57.37 | ALPHA: (723) implies:
% 290.87/57.37 | (724) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1225_0
% 290.87/57.37 |
% 290.87/57.37 | DELTA: instantiating (14) with fresh symbols all_1228_0, all_1228_1,
% 290.87/57.37 | all_1228_2, all_1228_3, all_1228_4, all_1228_5, all_1228_6 gives:
% 290.87/57.37 | (725) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1228_5 &
% 290.87/57.37 | c_Int_OBit1(c_Int_OPls) = all_1228_4 & c_Int_OBit0(all_1228_4) =
% 290.87/57.37 | all_1228_3 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 290.87/57.37 | all_1228_3) = all_1228_2 &
% 290.87/57.37 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OMin) =
% 290.87/57.37 | all_1228_6 & hAPP(all_1228_1, v_x____) = all_1228_0 &
% 290.87/57.37 | hAPP(all_1228_5, all_1228_2) = all_1228_1 & $i(all_1228_0) &
% 290.87/57.37 | $i(all_1228_1) & $i(all_1228_2) & $i(all_1228_3) & $i(all_1228_4) &
% 290.87/57.37 | $i(all_1228_5) & $i(all_1228_6) &
% 290.87/57.37 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1228_6,
% 290.87/57.37 | all_1228_0)
% 290.87/57.37 |
% 290.87/57.37 | ALPHA: (725) implies:
% 290.87/57.37 | (726) hAPP(all_1228_5, all_1228_2) = all_1228_1
% 290.87/57.37 | (727) hAPP(all_1228_1, v_x____) = all_1228_0
% 290.87/57.37 | (728) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OMin) =
% 290.87/57.37 | all_1228_6
% 290.87/57.37 | (729) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1228_3) =
% 290.87/57.37 | all_1228_2
% 290.87/57.37 | (730) c_Int_OBit0(all_1228_4) = all_1228_3
% 290.87/57.37 | (731) c_Int_OBit1(c_Int_OPls) = all_1228_4
% 290.87/57.37 | (732) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1228_5
% 290.87/57.37 |
% 290.87/57.37 | DELTA: instantiating (5) with fresh symbols all_1233_0, all_1233_1,
% 290.87/57.37 | all_1233_2, all_1233_3, all_1233_4, all_1233_5 gives:
% 290.87/57.37 | (733) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1233_4 &
% 290.87/57.37 | c_Int_OBit1(c_Int_OPls) = all_1233_3 & c_Int_OBit0(all_1233_3) =
% 290.87/57.37 | all_1233_2 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 290.87/57.37 | all_1233_2) = all_1233_1 &
% 290.87/57.37 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1233_5 &
% 290.87/57.37 | hAPP(all_1233_4, all_1233_1) = all_1233_0 & $i(all_1233_0) &
% 290.87/57.37 | $i(all_1233_1) & $i(all_1233_2) & $i(all_1233_3) & $i(all_1233_4) &
% 290.87/57.37 | $i(all_1233_5) & ! [v0: $i] : ! [v1: $i] : ( ~ (hAPP(all_1233_0,
% 290.87/57.37 | v0) = v1) | ~ $i(v0) |
% 290.87/57.37 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1233_5,
% 290.87/57.37 | v1))
% 290.87/57.37 |
% 290.87/57.37 | ALPHA: (733) implies:
% 290.87/57.37 | (734) hAPP(all_1233_4, all_1233_1) = all_1233_0
% 290.87/57.37 | (735) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1233_5
% 290.87/57.37 | (736) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1233_2) =
% 290.87/57.37 | all_1233_1
% 290.87/57.37 | (737) c_Int_OBit0(all_1233_3) = all_1233_2
% 290.87/57.37 | (738) c_Int_OBit1(c_Int_OPls) = all_1233_3
% 290.87/57.37 | (739) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1233_4
% 290.87/57.37 |
% 290.87/57.37 | DELTA: instantiating (205) with fresh symbols all_1236_0, all_1236_1,
% 290.87/57.37 | all_1236_2 gives:
% 290.87/57.37 | (740) c_Int_OBit1(c_Int_OPls) = all_1236_2 & c_Int_OBit0(all_1236_2) =
% 290.87/57.37 | all_1236_1 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 290.87/57.37 | all_1236_1) = all_1236_0 & $i(all_1236_0) & $i(all_1236_1) &
% 290.87/57.37 | $i(all_1236_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 290.87/57.37 | $i] : ! [v4: $i] : ( ~
% 290.87/57.37 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, all_1236_0)
% 290.87/57.37 | = v3) | ~ (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v3,
% 290.87/57.37 | v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,
% 290.87/57.37 | v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] :
% 290.87/57.37 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, all_1236_0)
% 290.87/57.37 | = v4 & c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v1, v0) =
% 290.87/57.37 | v5 & $i(v5) & $i(v4)))
% 290.87/57.37 |
% 290.87/57.37 | ALPHA: (740) implies:
% 290.87/57.37 | (741) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1236_1) =
% 290.87/57.37 | all_1236_0
% 290.87/57.37 | (742) c_Int_OBit0(all_1236_2) = all_1236_1
% 290.87/57.37 | (743) c_Int_OBit1(c_Int_OPls) = all_1236_2
% 290.87/57.37 |
% 290.87/57.37 | DELTA: instantiating (3) with fresh symbols all_1239_0, all_1239_1,
% 290.87/57.37 | all_1239_2, all_1239_3, all_1239_4, all_1239_5, all_1239_6 gives:
% 290.87/57.37 | (744) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1239_6 &
% 290.87/57.37 | c_Int_OBit1(c_Int_OPls) = all_1239_5 & c_Int_OBit0(all_1239_5) =
% 290.87/57.37 | all_1239_4 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 290.87/57.37 | all_1239_4) = all_1239_3 &
% 290.87/57.37 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1239_0 &
% 290.87/57.37 | hAPP(all_1239_2, v_x____) = all_1239_1 & hAPP(all_1239_6, all_1239_3)
% 290.87/57.37 | = all_1239_2 & $i(all_1239_0) & $i(all_1239_1) & $i(all_1239_2) &
% 290.87/57.37 | $i(all_1239_3) & $i(all_1239_4) & $i(all_1239_5) & $i(all_1239_6) &
% 290.87/57.37 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1239_1,
% 290.87/57.37 | all_1239_0)
% 290.87/57.37 |
% 290.87/57.37 | ALPHA: (744) implies:
% 290.87/57.37 | (745) $i(all_1239_1)
% 290.87/57.37 | (746) hAPP(all_1239_6, all_1239_3) = all_1239_2
% 290.87/57.37 | (747) hAPP(all_1239_2, v_x____) = all_1239_1
% 290.87/57.37 | (748) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1239_0
% 290.87/57.37 | (749) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1239_4) =
% 290.87/57.37 | all_1239_3
% 290.87/57.37 | (750) c_Int_OBit0(all_1239_5) = all_1239_4
% 290.87/57.37 | (751) c_Int_OBit1(c_Int_OPls) = all_1239_5
% 290.87/57.37 | (752) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1239_6
% 290.87/57.37 |
% 290.87/57.37 | DELTA: instantiating (206) with fresh symbols all_1241_0, all_1241_1,
% 290.87/57.37 | all_1241_2 gives:
% 290.87/57.37 | (753) c_Int_OBit1(c_Int_OPls) = all_1241_2 & c_Int_OBit0(all_1241_2) =
% 290.87/57.37 | all_1241_1 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 290.87/57.37 | all_1241_1) = all_1241_0 & $i(all_1241_0) & $i(all_1241_1) &
% 290.87/57.37 | $i(all_1241_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 290.87/57.37 | $i] : ! [v4: $i] : ( ~
% 290.87/57.37 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, all_1241_0)
% 290.87/57.37 | = v3) | ~ (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v3,
% 290.87/57.37 | v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,
% 290.87/57.37 | v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] :
% 290.87/57.37 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, all_1241_0)
% 290.87/57.37 | = v4 & c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v0, v1) =
% 290.87/57.37 | v5 & $i(v5) & $i(v4)))
% 290.87/57.37 |
% 290.87/57.37 | ALPHA: (753) implies:
% 290.87/57.37 | (754) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1241_1) =
% 290.87/57.37 | all_1241_0
% 290.87/57.37 | (755) c_Int_OBit0(all_1241_2) = all_1241_1
% 290.87/57.37 | (756) c_Int_OBit1(c_Int_OPls) = all_1241_2
% 290.87/57.37 |
% 290.87/57.37 | DELTA: instantiating (4) with fresh symbols all_1244_0, all_1244_1,
% 290.87/57.37 | all_1244_2, all_1244_3, all_1244_4, all_1244_5, all_1244_6 gives:
% 290.87/57.37 | (757) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1244_6 &
% 290.87/57.37 | c_Int_OBit1(c_Int_OPls) = all_1244_5 & c_Int_OBit0(all_1244_5) =
% 290.87/57.37 | all_1244_4 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 290.87/57.37 | all_1244_4) = all_1244_3 &
% 290.87/57.37 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1244_0 &
% 290.87/57.37 | hAPP(all_1244_2, v_y____) = all_1244_1 & hAPP(all_1244_6, all_1244_3)
% 290.87/57.37 | = all_1244_2 & $i(all_1244_0) & $i(all_1244_1) & $i(all_1244_2) &
% 290.87/57.37 | $i(all_1244_3) & $i(all_1244_4) & $i(all_1244_5) & $i(all_1244_6) &
% 290.87/57.37 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1244_1,
% 290.87/57.37 | all_1244_0)
% 290.87/57.37 |
% 290.87/57.37 | ALPHA: (757) implies:
% 290.87/57.37 | (758) hAPP(all_1244_6, all_1244_3) = all_1244_2
% 290.87/57.37 | (759) hAPP(all_1244_2, v_y____) = all_1244_1
% 290.87/57.37 | (760) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1244_0
% 290.87/57.37 | (761) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1244_4) =
% 290.87/57.37 | all_1244_3
% 290.87/57.37 | (762) c_Int_OBit0(all_1244_5) = all_1244_4
% 290.87/57.37 | (763) c_Int_OBit1(c_Int_OPls) = all_1244_5
% 290.87/57.37 | (764) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1244_6
% 290.87/57.37 |
% 290.87/57.37 | DELTA: instantiating (27) with fresh symbol all_1246_0 gives:
% 290.87/57.38 | (765) c_Int_OBit1(c_Int_OPls) = all_1246_0 & $i(all_1246_0) & ! [v0: $i] :
% 290.87/57.38 | ! [v1: $i] : ! [v2: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v1,
% 290.87/57.38 | v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 290.87/57.38 | class_Int_Onumber__ring(v1) | ~ class_Rings_Olinordered__idom(v1)
% 290.87/57.38 | | ? [v3: $i] : (( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 290.87/57.38 | v0, all_1246_0) | (c_Groups_Oone__class_Oone(v1) = v3 &
% 290.87/57.38 | $i(v3) & c_Orderings_Oord__class_Oless__eq(v1, v2, v3))) &
% 290.87/57.38 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, all_1246_0) |
% 290.87/57.38 | (c_Groups_Oone__class_Oone(v1) = v3 & $i(v3) & ~
% 290.87/57.38 | c_Orderings_Oord__class_Oless__eq(v1, v2, v3)))))
% 290.87/57.38 |
% 290.87/57.38 | ALPHA: (765) implies:
% 290.87/57.38 | (766) c_Int_OBit1(c_Int_OPls) = all_1246_0
% 290.87/57.38 |
% 290.87/57.38 | DELTA: instantiating (64) with fresh symbols all_1249_0, all_1249_1 gives:
% 290.87/57.38 | (767) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1249_1 &
% 290.87/57.38 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1249_0 & $i(all_1249_0)
% 290.87/57.38 | & $i(all_1249_1) & ! [v0: $i] : ! [v1: any] : ! [v2: $i] : ! [v3:
% 290.87/57.38 | $i] : (v1 = all_1249_1 | ~
% 290.87/57.38 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, all_1249_0) = v2) |
% 290.87/57.38 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v3) | ~
% 290.87/57.38 | $i(v1) | ~ $i(v0) | ? [v4: $i] : (c_Nat_OSuc(v3) = v4 &
% 290.87/57.38 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v4 & $i(v4)))
% 290.87/57.38 | & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~
% 290.87/57.38 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_1249_1, v0) = v1) |
% 290.87/57.38 | ~ $i(v0))
% 290.87/57.38 |
% 290.87/57.38 | ALPHA: (767) implies:
% 290.87/57.38 | (768) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1249_0
% 290.87/57.38 | (769) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1249_1
% 290.87/57.38 |
% 290.87/57.38 | DELTA: instantiating (174) with fresh symbol all_1255_0 gives:
% 290.87/57.38 | (770) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1255_0 &
% 290.87/57.38 | $i(all_1255_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 290.87/57.38 | (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v1) | ~
% 290.87/57.38 | $i(v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 290.87/57.38 | all_1255_0, v1) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ?
% 290.87/57.38 | [v5: $i] : (c_Int_OBit1(v0) = v4 & c_Int_OBit0(v0) = v2 &
% 290.87/57.38 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v4) = v5 &
% 290.87/57.38 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3 & $i(v5) &
% 290.87/57.38 | $i(v4) & $i(v3) & $i(v2) &
% 290.87/57.38 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1255_0, v5) &
% 290.87/57.38 | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1255_0, v3)))
% 290.87/57.38 |
% 290.87/57.38 | ALPHA: (770) implies:
% 290.87/57.38 | (771) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_1255_0
% 290.87/57.38 |
% 290.87/57.38 | DELTA: instantiating (218) with fresh symbol all_1258_0 gives:
% 290.87/57.38 | (772) c_Int_OBit1(c_Int_OPls) = all_1258_0 & $i(all_1258_0) & ! [v0: $i] :
% 290.87/57.38 | ! [v1: $i] : ! [v2: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v1,
% 290.87/57.38 | v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 290.87/57.38 | class_Int_Onumber__ring(v1) | ~ class_Rings_Olinordered__idom(v1)
% 290.87/57.38 | | ? [v3: $i] : (( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 290.87/57.38 | all_1258_0, v0) | (c_Groups_Oone__class_Oone(v1) = v3 &
% 290.87/57.38 | $i(v3) & c_Orderings_Oord__class_Oless(v1, v3, v2))) &
% 290.87/57.38 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, all_1258_0, v0) |
% 290.87/57.38 | (c_Groups_Oone__class_Oone(v1) = v3 & $i(v3) & ~
% 290.87/57.38 | c_Orderings_Oord__class_Oless(v1, v3, v2)))))
% 290.87/57.38 |
% 290.87/57.38 | ALPHA: (772) implies:
% 290.87/57.38 | (773) c_Int_OBit1(c_Int_OPls) = all_1258_0
% 290.87/57.38 |
% 290.87/57.38 | DELTA: instantiating (137) with fresh symbols all_1261_0, all_1261_1,
% 290.87/57.38 | all_1261_2, all_1261_3 gives:
% 290.87/57.38 | (774) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1261_3 &
% 290.87/57.38 | c_Int_OBit1(c_Int_OPls) = all_1261_2 & c_Int_OBit0(all_1261_2) =
% 290.87/57.38 | all_1261_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 290.87/57.38 | all_1261_1) = all_1261_0 & $i(all_1261_0) & $i(all_1261_1) &
% 290.87/57.38 | $i(all_1261_2) & $i(all_1261_3) & ! [v0: $i] : ! [v1: $i] : ( ~
% 290.87/57.38 | (hAPP(all_1261_3, v0) = v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: $i]
% 290.87/57.38 | : (c_NthRoot_Osqrt(v2) = v3 &
% 290.87/57.38 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v0) = v3 & hAPP(v1,
% 290.87/57.38 | all_1261_0) = v2 & $i(v3) & $i(v2)))
% 290.87/57.38 |
% 290.87/57.38 | ALPHA: (774) implies:
% 290.87/57.38 | (775) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1261_1) =
% 290.87/57.38 | all_1261_0
% 290.87/57.38 | (776) c_Int_OBit0(all_1261_2) = all_1261_1
% 290.87/57.38 | (777) c_Int_OBit1(c_Int_OPls) = all_1261_2
% 290.87/57.38 | (778) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1261_3
% 290.87/57.38 |
% 290.87/57.38 | DELTA: instantiating (28) with fresh symbol all_1264_0 gives:
% 290.87/57.38 | (779) c_Int_OBit1(c_Int_OPls) = all_1264_0 & $i(all_1264_0) & ! [v0: $i] :
% 290.87/57.38 | ! [v1: $i] : ! [v2: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v1,
% 290.87/57.38 | v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 290.87/57.38 | class_Int_Onumber__ring(v1) | ~ class_Rings_Olinordered__idom(v1)
% 290.87/57.38 | | ? [v3: $i] : (( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 290.87/57.38 | all_1264_0, v0) | (c_Groups_Oone__class_Oone(v1) = v3 &
% 290.87/57.38 | $i(v3) & c_Orderings_Oord__class_Oless__eq(v1, v3, v2))) &
% 290.87/57.38 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_1264_0, v0) |
% 290.87/57.38 | (c_Groups_Oone__class_Oone(v1) = v3 & $i(v3) & ~
% 290.87/57.38 | c_Orderings_Oord__class_Oless__eq(v1, v3, v2)))))
% 290.87/57.38 |
% 290.87/57.38 | ALPHA: (779) implies:
% 290.87/57.38 | (780) c_Int_OBit1(c_Int_OPls) = all_1264_0
% 290.87/57.38 |
% 290.87/57.38 | DELTA: instantiating (22) with fresh symbol all_1267_0 gives:
% 290.87/57.38 | (781) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1267_0 &
% 290.87/57.38 | $i(all_1267_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 290.87/57.38 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~ (hAPP(v5, v0) =
% 290.87/57.38 | v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_1267_0, v4) = v5) |
% 290.87/57.38 | ~ (hAPP(all_1267_0, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 290.87/57.38 | ? [v7: $i] : ? [v8: $i] : (hAPP(v7, v0) = v8 & hAPP(v3, v8) = v6
% 290.87/57.38 | & hAPP(all_1267_0, v1) = v7 & $i(v8) & $i(v7) & $i(v6)))
% 290.87/57.38 |
% 290.87/57.38 | ALPHA: (781) implies:
% 290.87/57.38 | (782) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1267_0
% 290.87/57.38 |
% 290.87/57.38 | DELTA: instantiating (16) with fresh symbols all_1270_0, all_1270_1,
% 290.87/57.38 | all_1270_2, all_1270_3, all_1270_4, all_1270_5, all_1270_6 gives:
% 290.87/57.38 | (783) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1270_5 &
% 290.87/57.38 | c_Int_OBit1(c_Int_OPls) = all_1270_4 & c_Int_OBit0(all_1270_4) =
% 290.87/57.38 | all_1270_3 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 290.87/57.38 | all_1270_3) = all_1270_2 &
% 290.87/57.38 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OMin) =
% 290.87/57.38 | all_1270_6 & hAPP(all_1270_1, v_y____) = all_1270_0 &
% 290.87/57.38 | hAPP(all_1270_5, all_1270_2) = all_1270_1 & $i(all_1270_0) &
% 290.87/57.38 | $i(all_1270_1) & $i(all_1270_2) & $i(all_1270_3) & $i(all_1270_4) &
% 290.87/57.38 | $i(all_1270_5) & $i(all_1270_6) &
% 290.87/57.38 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1270_6,
% 290.87/57.38 | all_1270_0)
% 290.87/57.38 |
% 290.87/57.38 | ALPHA: (783) implies:
% 290.87/57.38 | (784) $i(all_1270_0)
% 290.87/57.38 | (785) hAPP(all_1270_5, all_1270_2) = all_1270_1
% 290.87/57.38 | (786) hAPP(all_1270_1, v_y____) = all_1270_0
% 290.87/57.38 | (787) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, c_Int_OMin) =
% 290.87/57.38 | all_1270_6
% 290.87/57.38 | (788) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1270_3) =
% 290.87/57.38 | all_1270_2
% 290.87/57.38 | (789) c_Int_OBit0(all_1270_4) = all_1270_3
% 290.87/57.38 | (790) c_Int_OBit1(c_Int_OPls) = all_1270_4
% 290.87/57.38 | (791) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1270_5
% 290.87/57.38 |
% 290.87/57.38 | DELTA: instantiating (217) with fresh symbol all_1272_0 gives:
% 290.87/57.38 | (792) c_Int_OBit1(c_Int_OPls) = all_1272_0 & $i(all_1272_0) & ! [v0: $i] :
% 290.87/57.38 | ! [v1: $i] : ! [v2: $i] : ( ~ (c_Int_Onumber__class_Onumber__of(v1,
% 290.87/57.38 | v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 290.87/57.38 | class_Int_Onumber__ring(v1) | ~ class_Rings_Olinordered__idom(v1)
% 290.87/57.38 | | ? [v3: $i] : (( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0,
% 290.87/57.38 | all_1272_0) | (c_Groups_Oone__class_Oone(v1) = v3 & $i(v3) &
% 290.87/57.38 | c_Orderings_Oord__class_Oless(v1, v2, v3))) &
% 290.87/57.38 | (c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_1272_0) |
% 290.87/57.38 | (c_Groups_Oone__class_Oone(v1) = v3 & $i(v3) & ~
% 290.87/57.38 | c_Orderings_Oord__class_Oless(v1, v2, v3)))))
% 290.87/57.38 |
% 290.87/57.38 | ALPHA: (792) implies:
% 290.87/57.38 | (793) c_Int_OBit1(c_Int_OPls) = all_1272_0
% 290.87/57.38 |
% 290.87/57.38 | DELTA: instantiating (122) with fresh symbols all_1278_0, all_1278_1,
% 290.87/57.38 | all_1278_2, all_1278_3, all_1278_4 gives:
% 290.87/57.38 | (794) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1278_4 &
% 290.87/57.38 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1278_3 &
% 290.87/57.38 | c_Int_OBit1(c_Int_OPls) = all_1278_2 & c_Int_OBit0(all_1278_2) =
% 290.87/57.38 | all_1278_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 290.87/57.38 | all_1278_1) = all_1278_0 & $i(all_1278_0) & $i(all_1278_1) &
% 290.87/57.38 | $i(all_1278_2) & $i(all_1278_3) & $i(all_1278_4) & ! [v0: $i] : !
% 290.87/57.38 | [v1: $i] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ $i(v0) | ~
% 290.87/57.38 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1278_4, v0)
% 290.87/57.38 | | ? [v2: $i] : (hAPP(v2, all_1278_0) = v0 & hAPP(all_1278_3, v1) =
% 290.87/57.38 | v2 & $i(v2)))
% 290.87/57.38 |
% 290.87/57.38 | ALPHA: (794) implies:
% 290.87/57.38 | (795) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1278_1) =
% 290.87/57.38 | all_1278_0
% 290.87/57.38 | (796) c_Int_OBit0(all_1278_2) = all_1278_1
% 290.87/57.38 | (797) c_Int_OBit1(c_Int_OPls) = all_1278_2
% 290.87/57.38 | (798) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1278_3
% 290.87/57.38 | (799) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1278_4
% 290.87/57.38 |
% 290.87/57.38 | DELTA: instantiating (37) with fresh symbol all_1284_0 gives:
% 290.87/57.38 | (800) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1284_0 &
% 290.87/57.38 | $i(all_1284_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 290.87/57.38 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 290.87/57.38 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v6) = v7) | ~
% 290.87/57.38 | (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_1284_0,
% 290.87/57.38 | v2) = v3) | ~ (hAPP(all_1284_0, v1) = v5) | ~ $i(v2) | ~
% 290.87/57.38 | $i(v1) | ~ $i(v0) | ? [v8: $i] : ? [v9: $i] :
% 290.87/57.38 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v8 &
% 290.87/57.38 | hAPP(v9, v0) = v7 & hAPP(all_1284_0, v8) = v9 & $i(v9) & $i(v8) &
% 290.87/57.38 | $i(v7)))
% 290.87/57.38 |
% 290.87/57.38 | ALPHA: (800) implies:
% 290.87/57.38 | (801) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1284_0
% 290.87/57.38 |
% 290.87/57.38 | DELTA: instantiating (237) with fresh symbols all_1293_0, all_1293_1 gives:
% 290.87/57.38 | (802) c_Int_OBit1(c_Int_OPls) = all_1293_1 & c_Int_OBit0(all_1293_1) =
% 290.87/57.38 | all_1293_0 & $i(all_1293_0) & $i(all_1293_1) & ! [v0: $i] : ! [v1:
% 290.87/57.38 | $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 290.87/57.38 | (c_Rings_Oinverse__class_Odivide(v1, v0, v2) = v3) | ~
% 290.87/57.38 | (c_Int_Onumber__class_Onumber__of(v1, all_1293_0) = v2) | ~ $i(v1)
% 290.87/57.38 | | ~ $i(v0) | ~ class_Fields_Olinordered__field__inverse__zero(v1)
% 290.87/57.38 | | ~ class_Int_Onumber__ring(v1) | ? [v4: $i] :
% 290.87/57.38 | (c_Groups_Ozero__class_Ozero(v1) = v4 & $i(v4) & ( ~
% 290.87/57.38 | c_Orderings_Oord__class_Oless(v1, v4, v3) |
% 290.87/57.38 | c_Orderings_Oord__class_Oless(v1, v4, v0)) & ( ~
% 290.87/57.38 | c_Orderings_Oord__class_Oless(v1, v4, v0) |
% 290.87/57.38 | c_Orderings_Oord__class_Oless(v1, v4, v3))))
% 290.87/57.38 |
% 290.87/57.38 | ALPHA: (802) implies:
% 290.87/57.38 | (803) c_Int_OBit0(all_1293_1) = all_1293_0
% 290.87/57.38 | (804) c_Int_OBit1(c_Int_OPls) = all_1293_1
% 290.87/57.38 |
% 290.87/57.38 | DELTA: instantiating (239) with fresh symbols all_1296_0, all_1296_1,
% 290.87/57.38 | all_1296_2 gives:
% 290.87/57.38 | (805) c_Int_OBit1(c_Int_OPls) = all_1296_2 & c_Int_OBit0(all_1296_2) =
% 290.87/57.38 | all_1296_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 290.87/57.38 | all_1296_1) = all_1296_0 & $i(all_1296_0) & $i(all_1296_1) &
% 290.87/57.38 | $i(all_1296_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 290.87/57.38 | $i] : ( ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v2,
% 290.87/57.38 | v0) = v3) | ~ $i(v1) | ~ $i(v0) | ~
% 290.87/57.38 | class_Rings_Olinordered__idom(v1) | ? [v4: $i] : ? [v5: $i] :
% 290.87/57.38 | (c_Groups_Ozero__class_Ozero(v1) = v5 & hAPP(v3, all_1296_0) = v4 &
% 290.87/57.38 | $i(v5) & $i(v4) & ~ c_Orderings_Oord__class_Oless(v1, v4, v5)))
% 290.87/57.38 |
% 290.87/57.38 | ALPHA: (805) implies:
% 290.87/57.38 | (806) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1296_1) =
% 290.87/57.38 | all_1296_0
% 290.87/57.38 | (807) c_Int_OBit0(all_1296_2) = all_1296_1
% 290.87/57.38 | (808) c_Int_OBit1(c_Int_OPls) = all_1296_2
% 290.87/57.38 | (809) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 290.87/57.38 | (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v2, v0) = v3) |
% 290.87/57.38 | ~ $i(v1) | ~ $i(v0) | ~ class_Rings_Olinordered__idom(v1) | ?
% 290.87/57.38 | [v4: $i] : ? [v5: $i] : (c_Groups_Ozero__class_Ozero(v1) = v5 &
% 290.87/57.38 | hAPP(v3, all_1296_0) = v4 & $i(v5) & $i(v4) & ~
% 290.87/57.38 | c_Orderings_Oord__class_Oless(v1, v4, v5)))
% 290.87/57.38 |
% 290.87/57.38 | DELTA: instantiating (140) with fresh symbols all_1299_0, all_1299_1,
% 290.87/57.38 | all_1299_2 gives:
% 290.87/57.38 | (810) c_Int_OBit1(c_Int_OPls) = all_1299_2 & c_Int_OBit0(all_1299_2) =
% 290.87/57.38 | all_1299_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 290.87/57.38 | all_1299_1) = all_1299_0 & $i(all_1299_0) & $i(all_1299_1) &
% 290.87/57.38 | $i(all_1299_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 290.87/57.38 | $i] : ( ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v2,
% 290.87/57.38 | v0) = v3) | ~ $i(v1) | ~ $i(v0) | ~
% 290.87/57.38 | class_Rings_Olinordered__idom(v1) | ? [v4: $i] : ? [v5: $i] :
% 290.87/57.38 | (c_Groups_Ozero__class_Ozero(v1) = v4 & hAPP(v3, all_1299_0) = v5 &
% 290.87/57.38 | $i(v5) & $i(v4) & c_Orderings_Oord__class_Oless__eq(v1, v4, v5)))
% 290.87/57.38 |
% 290.87/57.38 | ALPHA: (810) implies:
% 290.87/57.38 | (811) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1299_1) =
% 290.87/57.38 | all_1299_0
% 290.87/57.38 | (812) c_Int_OBit0(all_1299_2) = all_1299_1
% 290.87/57.38 | (813) c_Int_OBit1(c_Int_OPls) = all_1299_2
% 290.87/57.38 | (814) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 290.87/57.38 | (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v2, v0) = v3) |
% 290.87/57.38 | ~ $i(v1) | ~ $i(v0) | ~ class_Rings_Olinordered__idom(v1) | ?
% 290.87/57.38 | [v4: $i] : ? [v5: $i] : (c_Groups_Ozero__class_Ozero(v1) = v4 &
% 290.87/57.38 | hAPP(v3, all_1299_0) = v5 & $i(v5) & $i(v4) &
% 290.87/57.38 | c_Orderings_Oord__class_Oless__eq(v1, v4, v5)))
% 290.87/57.38 |
% 290.87/57.38 | DELTA: instantiating (175) with fresh symbols all_1302_0, all_1302_1 gives:
% 290.87/57.38 | (815) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1302_1 &
% 290.87/57.38 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1302_0 &
% 290.87/57.38 | $i(all_1302_0) & $i(all_1302_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 290.87/57.38 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 290.87/57.38 | [v7: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v3, v1) = v4) | ~
% 290.87/57.38 | (c_RealVector_Onorm__class_Onorm(v3, v0) = v6) | ~ (hAPP(v5, v6) =
% 290.87/57.38 | v7) | ~ (hAPP(all_1302_0, v2) = v5) | ~ $i(v3) | ~ $i(v2) | ~
% 290.87/57.38 | $i(v1) | ~ $i(v0) | ~ class_RealVector_Oreal__normed__vector(v3)
% 290.87/57.38 | | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v7) |
% 290.87/57.38 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2,
% 290.87/57.38 | all_1302_1) | c_Groups_Ozero__class_Ozero(v3) = v1)
% 290.87/57.38 |
% 290.87/57.38 | ALPHA: (815) implies:
% 290.87/57.38 | (816) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1302_0
% 290.87/57.38 | (817) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1302_1
% 290.87/57.38 |
% 290.87/57.38 | DELTA: instantiating (102) with fresh symbols all_1308_0, all_1308_1,
% 290.87/57.38 | all_1308_2 gives:
% 290.87/57.38 | (818) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1308_0 &
% 290.87/57.38 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1308_2 &
% 290.87/57.38 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1308_1 &
% 290.87/57.38 | $i(all_1308_0) & $i(all_1308_1) & $i(all_1308_2) & ! [v0: $i] : !
% 290.87/57.38 | [v1: any] : (v1 = all_1308_1 | ~ (c_Complex_Ocomplex_OComplex(v1,
% 290.87/57.38 | v0) = all_1308_2) | ~ $i(v1) | ~ $i(v0)) & ! [v0: any] : !
% 290.87/57.38 | [v1: $i] : (v0 = all_1308_0 | ~ (c_Complex_Ocomplex_OComplex(v1, v0)
% 290.87/57.38 | = all_1308_2) | ~ $i(v1) | ~ $i(v0)) & ! [v0: int] : (v0 =
% 290.87/57.38 | all_1308_2 | ~ (c_Complex_Ocomplex_OComplex(all_1308_1,
% 290.87/57.38 | all_1308_0) = v0))
% 290.87/57.38 |
% 290.87/57.38 | ALPHA: (818) implies:
% 290.87/57.38 | (819) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1308_1
% 290.87/57.38 | (820) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1308_0
% 290.87/57.38 |
% 290.87/57.38 | DELTA: instantiating (1) with fresh symbols all_1311_0, all_1311_1,
% 290.87/57.38 | all_1311_2, all_1311_3, all_1311_4, all_1311_5, all_1311_6, all_1311_7
% 290.87/57.38 | gives:
% 290.87/57.38 | (821) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1311_7 &
% 290.87/57.38 | c_Int_OBit1(c_Int_OPls) = all_1311_6 & c_Int_OBit0(all_1311_6) =
% 290.87/57.38 | all_1311_5 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 290.87/57.38 | all_1311_5) = all_1311_4 &
% 290.87/57.38 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1311_2) = all_1311_1
% 290.87/57.38 | & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1311_0 &
% 290.87/57.38 | hAPP(all_1311_3, v_x____) = all_1311_2 & hAPP(all_1311_7, all_1311_4)
% 290.87/57.38 | = all_1311_3 & $i(all_1311_0) & $i(all_1311_1) & $i(all_1311_2) &
% 290.87/57.38 | $i(all_1311_3) & $i(all_1311_4) & $i(all_1311_5) & $i(all_1311_6) &
% 290.87/57.38 | $i(all_1311_7) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 290.87/57.38 | all_1311_1, all_1311_0)
% 290.87/57.38 |
% 290.87/57.38 | ALPHA: (821) implies:
% 290.87/57.38 | (822) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1311_1,
% 290.87/57.38 | all_1311_0)
% 290.87/57.38 | (823) hAPP(all_1311_7, all_1311_4) = all_1311_3
% 290.87/57.38 | (824) hAPP(all_1311_3, v_x____) = all_1311_2
% 290.87/57.39 | (825) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1311_0
% 290.87/57.39 | (826) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1311_2) = all_1311_1
% 290.87/57.39 | (827) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1311_5) =
% 290.87/57.39 | all_1311_4
% 290.87/57.39 | (828) c_Int_OBit0(all_1311_6) = all_1311_5
% 290.87/57.39 | (829) c_Int_OBit1(c_Int_OPls) = all_1311_6
% 290.87/57.39 | (830) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1311_7
% 290.87/57.39 |
% 290.87/57.39 | DELTA: instantiating (186) with fresh symbols all_1313_0, all_1313_1 gives:
% 290.87/57.39 | (831) c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1313_0 &
% 290.87/57.39 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1313_1 & $i(all_1313_0)
% 290.87/57.39 | & $i(all_1313_1) & ! [v0: $i] : ! [v1: any] : ! [v2: $i] : (v1 =
% 290.87/57.39 | all_1313_1 | ~ (hAPP(v2, v0) = all_1313_1) | ~ (hAPP(all_1313_0,
% 290.87/57.39 | v1) = v2) | ~ $i(v1) | ~ $i(v0)) & ! [v0: any] : ! [v1: $i]
% 290.87/57.39 | : ! [v2: $i] : (v0 = all_1313_1 | ~ (hAPP(v2, v0) = all_1313_1) |
% 290.87/57.39 | ~ (hAPP(all_1313_0, v1) = v2) | ~ $i(v1) | ~ $i(v0)) & ! [v0:
% 290.87/57.39 | $i] : ! [v1: int] : (v1 = all_1313_1 | ~ (hAPP(v0, all_1313_1) =
% 290.87/57.39 | v1) | ~ (hAPP(all_1313_0, all_1313_1) = v0))
% 290.87/57.39 |
% 290.87/57.39 | ALPHA: (831) implies:
% 290.87/57.39 | (832) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1313_1
% 290.87/57.39 |
% 290.87/57.39 | DELTA: instantiating (188) with fresh symbols all_1316_0, all_1316_1 gives:
% 290.87/57.39 | (833) c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1316_1 &
% 290.87/57.39 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1316_0 & $i(all_1316_0)
% 290.87/57.39 | & $i(all_1316_1) & ! [v0: $i] : ! [v1: any] : ! [v2: $i] : (v1 =
% 290.87/57.39 | all_1316_0 | ~ (hAPP(v2, v0) = all_1316_0) | ~ (hAPP(all_1316_1,
% 290.87/57.39 | v1) = v2) | ~ $i(v1) | ~ $i(v0)) & ! [v0: any] : ! [v1: $i]
% 290.87/57.39 | : ! [v2: $i] : (v0 = all_1316_0 | ~ (hAPP(v2, v0) = all_1316_0) |
% 290.87/57.39 | ~ (hAPP(all_1316_1, v1) = v2) | ~ $i(v1) | ~ $i(v0)) & ! [v0:
% 290.87/57.39 | $i] : ! [v1: int] : (v1 = all_1316_0 | ~ (hAPP(v0, all_1316_0) =
% 290.87/57.39 | v1) | ~ (hAPP(all_1316_1, all_1316_0) = v0))
% 290.87/57.39 |
% 290.87/57.39 | ALPHA: (833) implies:
% 290.87/57.39 | (834) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1316_0
% 290.87/57.39 |
% 290.87/57.39 | DELTA: instantiating (208) with fresh symbol all_1322_0 gives:
% 290.87/57.39 | (835) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1322_0 &
% 290.87/57.39 | $i(all_1322_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 290.87/57.39 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 290.87/57.39 | [v8: $i] : ! [v9: $i] : ! [v10: $i] : ( ~
% 290.87/57.39 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v5, v6) = v7) |
% 290.87/57.39 | ~ (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v4, v9) = v10) |
% 290.87/57.39 | ~ (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v4, v3) = v5) |
% 290.87/57.39 | ~ (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v0, v1) = v6) |
% 290.87/57.39 | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v2, v1) = v3) | ~ (hAPP(v2, v0)
% 290.87/57.39 | = v4) | ~ (hAPP(all_1322_0, v7) = v8) | ~ $i(v2) | ~ $i(v1) |
% 290.87/57.39 | ~ $i(v0) | ? [v11: $i] :
% 290.87/57.39 | (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v3, v11) = v10 &
% 290.87/57.39 | hAPP(v8, v1) = v11 & $i(v11) & $i(v10)))
% 290.87/57.39 |
% 290.87/57.39 | ALPHA: (835) implies:
% 290.87/57.39 | (836) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1322_0
% 290.87/57.39 |
% 290.87/57.39 | DELTA: instantiating (9) with fresh symbols all_1325_0, all_1325_1, all_1325_2
% 290.87/57.39 | gives:
% 290.87/57.39 | (837) c_Int_OBit1(c_Int_OPls) = all_1325_2 & c_Int_OBit0(all_1325_2) =
% 290.87/57.39 | all_1325_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 290.87/57.39 | all_1325_1) = all_1325_0 & $i(all_1325_0) & $i(all_1325_1) &
% 290.87/57.39 | $i(all_1325_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 290.87/57.39 | $i] : ! [v4: $i] : ( ~ (c_Power_Opower__class_Opower(v1) = v2) |
% 290.87/57.39 | ~ (c_Groups_Oabs__class_Oabs(v1, v0) = v3) | ~ (hAPP(v2, v3) = v4)
% 290.87/57.39 | | ~ $i(v1) | ~ $i(v0) | ~ class_Rings_Olinordered__idom(v1) | ?
% 290.87/57.39 | [v5: $i] : ? [v6: $i] : (hAPP(v6, all_1325_0) = v5 & hAPP(v4,
% 290.87/57.39 | all_1325_0) = v5 & hAPP(v2, v0) = v6 & $i(v6) & $i(v5)))
% 290.87/57.39 |
% 290.87/57.39 | ALPHA: (837) implies:
% 290.87/57.39 | (838) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1325_1) =
% 290.87/57.39 | all_1325_0
% 290.87/57.39 | (839) c_Int_OBit0(all_1325_2) = all_1325_1
% 290.87/57.39 | (840) c_Int_OBit1(c_Int_OPls) = all_1325_2
% 290.87/57.39 |
% 290.87/57.39 | DELTA: instantiating (2) with fresh symbols all_1328_0, all_1328_1,
% 290.87/57.39 | all_1328_2, all_1328_3, all_1328_4, all_1328_5, all_1328_6, all_1328_7
% 290.87/57.39 | gives:
% 290.87/57.39 | (841) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1328_7 &
% 290.87/57.39 | c_Int_OBit1(c_Int_OPls) = all_1328_6 & c_Int_OBit0(all_1328_6) =
% 290.87/57.39 | all_1328_5 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 290.87/57.39 | all_1328_5) = all_1328_4 &
% 290.87/57.39 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1328_2) = all_1328_1
% 290.87/57.39 | & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1328_0 &
% 290.87/57.39 | hAPP(all_1328_3, v_y____) = all_1328_2 & hAPP(all_1328_7, all_1328_4)
% 290.87/57.39 | = all_1328_3 & $i(all_1328_0) & $i(all_1328_1) & $i(all_1328_2) &
% 290.87/57.39 | $i(all_1328_3) & $i(all_1328_4) & $i(all_1328_5) & $i(all_1328_6) &
% 290.87/57.39 | $i(all_1328_7) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 290.87/57.39 | all_1328_1, all_1328_0)
% 290.87/57.39 |
% 290.87/57.39 | ALPHA: (841) implies:
% 290.87/57.39 | (842) hAPP(all_1328_7, all_1328_4) = all_1328_3
% 290.87/57.39 | (843) hAPP(all_1328_3, v_y____) = all_1328_2
% 290.87/57.39 | (844) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1328_0
% 290.87/57.39 | (845) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1328_2) = all_1328_1
% 290.87/57.39 | (846) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1328_5) =
% 290.87/57.39 | all_1328_4
% 290.87/57.39 | (847) c_Int_OBit0(all_1328_6) = all_1328_5
% 290.87/57.39 | (848) c_Int_OBit1(c_Int_OPls) = all_1328_6
% 290.87/57.39 | (849) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1328_7
% 290.87/57.39 |
% 290.87/57.39 | DELTA: instantiating (169) with fresh symbol all_1330_0 gives:
% 290.87/57.39 | (850) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1330_0 &
% 290.87/57.39 | $i(all_1330_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 290.87/57.39 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 290.87/57.39 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ (hAPP(v4, v0) =
% 290.87/57.39 | v5) | ~ (hAPP(all_1330_0, v3) = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 290.87/57.39 | $i(v0) | ~ class_RealVector_Oreal__normed__div__algebra(v2) | ?
% 290.87/57.39 | [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 290.87/57.39 | (c_RealVector_Onorm__class_Onorm(v2, v8) = v5 &
% 290.87/57.39 | c_Power_Opower__class_Opower(v2) = v6 & hAPP(v7, v0) = v8 &
% 290.87/57.39 | hAPP(v6, v1) = v7 & $i(v8) & $i(v7) & $i(v6) & $i(v5)))
% 290.87/57.39 |
% 290.87/57.39 | ALPHA: (850) implies:
% 290.87/57.39 | (851) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1330_0
% 290.87/57.39 |
% 290.87/57.39 | DELTA: instantiating (199) with fresh symbols all_1336_0, all_1336_1 gives:
% 290.87/57.39 | (852) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1336_0 &
% 290.87/57.39 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1336_1 &
% 290.87/57.39 | $i(all_1336_0) & $i(all_1336_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 290.87/57.39 | $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v3 | ~ (hAPP(v2, v1) = v3)
% 290.87/57.39 | | ~ (hAPP(v2, v0) = v4) | ~ (hAPP(all_1336_1, all_1336_0) = v2) |
% 290.87/57.39 | ~ $i(v1) | ~ $i(v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: any] :
% 290.87/57.39 | ! [v3: $i] : ! [v4: $i] : (v2 = all_1336_0 | v1 = v0 | ~ (hAPP(v3,
% 290.87/57.39 | v1) = v4) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_1336_1, v2) =
% 290.87/57.39 | v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0))
% 290.87/57.39 |
% 290.87/57.39 | ALPHA: (852) implies:
% 290.87/57.39 | (853) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1336_0
% 290.87/57.39 |
% 290.87/57.39 | DELTA: instantiating (199) with fresh symbols all_1342_0, all_1342_1 gives:
% 290.87/57.39 | (854) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1342_0 &
% 290.87/57.39 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1342_1 &
% 290.87/57.39 | $i(all_1342_0) & $i(all_1342_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 290.87/57.39 | $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v3 | ~ (hAPP(v2, v1) = v3)
% 290.87/57.39 | | ~ (hAPP(v2, v0) = v4) | ~ (hAPP(all_1342_1, all_1342_0) = v2) |
% 290.87/57.39 | ~ $i(v1) | ~ $i(v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: any] :
% 290.87/57.39 | ! [v3: $i] : ! [v4: $i] : (v2 = all_1342_0 | v1 = v0 | ~ (hAPP(v3,
% 290.87/57.39 | v1) = v4) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_1342_1, v2) =
% 290.87/57.39 | v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0))
% 290.87/57.39 |
% 290.87/57.39 | ALPHA: (854) implies:
% 290.87/57.39 | (855) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1342_0
% 290.87/57.39 |
% 290.87/57.39 | DELTA: instantiating (152) with fresh symbol all_1345_0 gives:
% 290.87/57.39 | (856) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1345_0 &
% 290.87/57.39 | $i(all_1345_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 290.87/57.39 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 290.87/57.39 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ (hAPP(v4, v0) =
% 290.87/57.39 | v5) | ~ (hAPP(all_1345_0, v3) = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 290.87/57.39 | $i(v0) | ~ class_RealVector_Oreal__normed__algebra__1(v2) | ?
% 290.87/57.39 | [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 290.87/57.39 | (c_RealVector_Onorm__class_Onorm(v2, v8) = v9 &
% 290.87/57.39 | c_Power_Opower__class_Opower(v2) = v6 & hAPP(v7, v0) = v8 &
% 290.87/57.39 | hAPP(v6, v1) = v7 & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 290.87/57.39 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v9, v5)))
% 290.87/57.39 |
% 290.87/57.39 | ALPHA: (856) implies:
% 290.87/57.39 | (857) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1345_0
% 290.87/57.39 |
% 290.87/57.39 | DELTA: instantiating (11) with fresh symbols all_1348_0, all_1348_1,
% 290.87/57.39 | all_1348_2 gives:
% 290.87/57.39 | (858) c_Int_OBit1(c_Int_OPls) = all_1348_2 & c_Int_OBit0(all_1348_2) =
% 290.87/57.39 | all_1348_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 290.87/57.39 | all_1348_1) = all_1348_0 & $i(all_1348_0) & $i(all_1348_1) &
% 290.87/57.39 | $i(all_1348_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 290.87/57.39 | $i] : ! [v4: $i] : ( ~ (c_Groups_Otimes__class_Otimes(v1) = v2) |
% 290.87/57.39 | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(v2, v0) = v3) | ~ $i(v1) | ~
% 290.87/57.39 | $i(v0) | ~ class_Rings_Ocomm__semiring__1(v1) | ? [v5: $i] : ?
% 290.87/57.39 | [v6: $i] : (c_Power_Opower__class_Opower(v1) = v5 & hAPP(v6,
% 290.87/57.39 | all_1348_0) = v4 & hAPP(v5, v0) = v6 & $i(v6) & $i(v5) &
% 290.87/57.39 | $i(v4)))
% 290.87/57.39 |
% 290.87/57.39 | ALPHA: (858) implies:
% 290.87/57.39 | (859) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1348_1) =
% 290.87/57.39 | all_1348_0
% 290.87/57.39 | (860) c_Int_OBit0(all_1348_2) = all_1348_1
% 290.87/57.39 | (861) c_Int_OBit1(c_Int_OPls) = all_1348_2
% 290.87/57.39 |
% 290.87/57.39 | DELTA: instantiating (144) with fresh symbols all_1351_0, all_1351_1,
% 290.87/57.39 | all_1351_2, all_1351_3 gives:
% 290.87/57.39 | (862) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1351_3 &
% 290.87/57.39 | c_Int_OBit1(c_Int_OPls) = all_1351_2 & c_Int_OBit0(all_1351_2) =
% 290.87/57.39 | all_1351_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 290.87/57.39 | all_1351_1) = all_1351_0 & $i(all_1351_0) & $i(all_1351_1) &
% 290.87/57.39 | $i(all_1351_2) & $i(all_1351_3) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 290.87/57.39 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 290.87/57.39 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) = v6) | ~
% 290.87/57.39 | (hAPP(v4, all_1351_0) = v5) | ~ (hAPP(v2, all_1351_0) = v3) | ~
% 290.87/57.39 | (hAPP(all_1351_3, v1) = v2) | ~ (hAPP(all_1351_3, v0) = v4) | ~
% 290.87/57.39 | $i(v1) | ~ $i(v0) | ? [v7: $i] : (c_NthRoot_Osqrt(v6) = v7 &
% 290.87/57.39 | $i(v7) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1,
% 290.87/57.39 | v7)))
% 290.87/57.39 |
% 290.87/57.39 | ALPHA: (862) implies:
% 290.87/57.39 | (863) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1351_1) =
% 290.87/57.39 | all_1351_0
% 290.87/57.39 | (864) c_Int_OBit0(all_1351_2) = all_1351_1
% 290.87/57.39 | (865) c_Int_OBit1(c_Int_OPls) = all_1351_2
% 290.87/57.39 | (866) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1351_3
% 290.87/57.39 |
% 290.87/57.39 | DELTA: instantiating (249) with fresh symbols all_1354_0, all_1354_1,
% 290.87/57.39 | all_1354_2, all_1354_3, all_1354_4 gives:
% 290.87/57.39 | (867) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1354_4 &
% 290.87/57.39 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1354_3 &
% 290.87/57.39 | c_Int_OBit1(c_Int_OPls) = all_1354_2 & c_Int_OBit0(all_1354_2) =
% 290.87/57.39 | all_1354_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 290.87/57.39 | all_1354_1) = all_1354_0 & $i(all_1354_0) & $i(all_1354_1) &
% 290.87/57.39 | $i(all_1354_2) & $i(all_1354_3) & $i(all_1354_4) & ! [v0: $i] : !
% 290.87/57.39 | [v1: $i] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ $i(v0) | ~
% 290.87/57.39 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1354_4, v0) |
% 290.87/57.39 | ? [v2: $i] : ? [v3: $i] : (hAPP(v2, all_1354_0) = v3 &
% 290.87/57.39 | hAPP(all_1354_3, v1) = v2 & $i(v3) & $i(v2) &
% 290.87/57.39 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1354_4, v3)))
% 290.87/57.39 |
% 290.87/57.39 | ALPHA: (867) implies:
% 290.87/57.39 | (868) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1354_1) =
% 290.87/57.39 | all_1354_0
% 290.87/57.39 | (869) c_Int_OBit0(all_1354_2) = all_1354_1
% 290.87/57.39 | (870) c_Int_OBit1(c_Int_OPls) = all_1354_2
% 290.87/57.39 | (871) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1354_3
% 290.87/57.39 | (872) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1354_4
% 290.87/57.39 |
% 290.87/57.39 | DELTA: instantiating (143) with fresh symbols all_1357_0, all_1357_1,
% 290.87/57.39 | all_1357_2, all_1357_3 gives:
% 290.87/57.39 | (873) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1357_3 &
% 290.87/57.39 | c_Int_OBit1(c_Int_OPls) = all_1357_2 & c_Int_OBit0(all_1357_2) =
% 290.87/57.39 | all_1357_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 290.87/57.39 | all_1357_1) = all_1357_0 & $i(all_1357_0) & $i(all_1357_1) &
% 290.87/57.39 | $i(all_1357_2) & $i(all_1357_3) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 290.87/57.39 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 290.87/57.39 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) = v6) | ~
% 290.87/57.39 | (hAPP(v4, all_1357_0) = v5) | ~ (hAPP(v2, all_1357_0) = v3) | ~
% 290.87/57.39 | (hAPP(all_1357_3, v1) = v4) | ~ (hAPP(all_1357_3, v0) = v2) | ~
% 290.87/57.39 | $i(v1) | ~ $i(v0) | ? [v7: $i] : (c_NthRoot_Osqrt(v6) = v7 &
% 290.87/57.39 | $i(v7) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1,
% 290.87/57.39 | v7)))
% 290.87/57.39 |
% 290.87/57.39 | ALPHA: (873) implies:
% 290.87/57.39 | (874) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1357_1) =
% 290.87/57.39 | all_1357_0
% 290.87/57.39 | (875) c_Int_OBit0(all_1357_2) = all_1357_1
% 290.87/57.39 | (876) c_Int_OBit1(c_Int_OPls) = all_1357_2
% 290.87/57.39 | (877) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1357_3
% 290.87/57.39 |
% 290.87/57.39 | DELTA: instantiating (167) with fresh symbol all_1360_0 gives:
% 290.87/57.39 | (878) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1360_0 &
% 290.87/57.39 | $i(all_1360_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 290.87/57.39 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 290.87/57.39 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~
% 290.87/57.39 | (c_RealVector_Onorm__class_Onorm(v2, v0) = v5) | ~ (hAPP(v4, v5) =
% 290.87/57.39 | v6) | ~ (hAPP(all_1360_0, v3) = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 290.87/57.39 | $i(v0) | ~ class_RealVector_Oreal__normed__div__algebra(v2) | ?
% 290.87/57.39 | [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 290.87/57.39 | (c_RealVector_Onorm__class_Onorm(v2, v9) = v6 &
% 290.87/57.39 | c_Groups_Otimes__class_Otimes(v2) = v7 & hAPP(v8, v0) = v9 &
% 290.87/57.39 | hAPP(v7, v1) = v8 & $i(v9) & $i(v8) & $i(v7) & $i(v6)))
% 290.87/57.39 |
% 290.87/57.39 | ALPHA: (878) implies:
% 290.87/57.39 | (879) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1360_0
% 290.87/57.39 |
% 290.87/57.39 | DELTA: instantiating (181) with fresh symbols all_1363_0, all_1363_1 gives:
% 290.87/57.39 | (880) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1363_0 &
% 290.87/57.39 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1363_1 &
% 290.87/57.39 | $i(all_1363_0) & $i(all_1363_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 290.87/57.39 | int] : (v2 = all_1363_0 | ~ (hAPP(v1, v0) = v2) | ~
% 290.87/57.39 | (hAPP(all_1363_1, all_1363_0) = v1) | ~ $i(v0)) & ! [v0: $i] : !
% 290.87/57.39 | [v1: $i] : ! [v2: int] : (v2 = all_1363_0 | ~ (hAPP(v1, all_1363_0)
% 290.87/57.39 | = v2) | ~ (hAPP(all_1363_1, v0) = v1) | ~ $i(v0)) & ! [v0:
% 290.87/57.39 | any] : ! [v1: any] : ! [v2: $i] : (v1 = all_1363_0 | v0 =
% 290.87/57.39 | all_1363_0 | ~ (hAPP(v2, v0) = all_1363_0) | ~ (hAPP(all_1363_1,
% 290.87/57.39 | v1) = v2) | ~ $i(v1) | ~ $i(v0))
% 290.87/57.39 |
% 290.87/57.39 | ALPHA: (880) implies:
% 290.87/57.39 | (881) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1363_0
% 290.87/57.39 |
% 290.87/57.39 | DELTA: instantiating (12) with fresh symbols all_1366_0, all_1366_1,
% 290.87/57.39 | all_1366_2 gives:
% 290.87/57.39 | (882) c_Int_OBit1(c_Int_OPls) = all_1366_2 & c_Int_OBit0(all_1366_2) =
% 290.87/57.39 | all_1366_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 290.87/57.39 | all_1366_1) = all_1366_0 & $i(all_1366_0) & $i(all_1366_1) &
% 290.87/57.39 | $i(all_1366_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 290.87/57.39 | $i] : ! [v4: $i] : ( ~ (c_Groups_Otimes__class_Otimes(v1) = v2) |
% 290.87/57.39 | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(v2, v0) = v3) | ~ $i(v1) | ~
% 290.87/57.39 | $i(v0) | ~ class_Groups_Omonoid__mult(v1) | ? [v5: $i] : ? [v6:
% 290.87/57.39 | $i] : (c_Power_Opower__class_Opower(v1) = v5 & hAPP(v6,
% 290.87/57.39 | all_1366_0) = v4 & hAPP(v5, v0) = v6 & $i(v6) & $i(v5) &
% 290.87/57.39 | $i(v4)))
% 290.87/57.39 |
% 290.87/57.39 | ALPHA: (882) implies:
% 290.87/57.39 | (883) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1366_1) =
% 290.87/57.39 | all_1366_0
% 290.87/57.39 | (884) c_Int_OBit0(all_1366_2) = all_1366_1
% 290.87/57.39 | (885) c_Int_OBit1(c_Int_OPls) = all_1366_2
% 290.87/57.39 |
% 290.87/57.39 | DELTA: instantiating (251) with fresh symbols all_1369_0, all_1369_1,
% 290.87/57.39 | all_1369_2, all_1369_3, all_1369_4 gives:
% 291.07/57.39 | (886) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1369_3 &
% 291.07/57.39 | c_Int_OBit1(c_Int_OPls) = all_1369_2 & c_Int_OBit0(all_1369_2) =
% 291.07/57.39 | all_1369_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 291.07/57.39 | all_1369_1) = all_1369_0 &
% 291.07/57.39 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1369_4 &
% 291.07/57.39 | $i(all_1369_0) & $i(all_1369_1) & $i(all_1369_2) & $i(all_1369_3) &
% 291.07/57.39 | $i(all_1369_4) & ! [v0: $i] : ! [v1: $i] : ( ~ (hAPP(all_1369_3,
% 291.07/57.39 | v0) = v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: $i] :
% 291.07/57.39 | ((c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v0) = v2 & $i(v2) &
% 291.07/57.39 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2,
% 291.07/57.39 | all_1369_4)) | (hAPP(v1, all_1369_0) = v3 & $i(v3) &
% 291.07/57.39 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3,
% 291.07/57.39 | all_1369_4))))
% 291.07/57.39 |
% 291.07/57.39 | ALPHA: (886) implies:
% 291.07/57.40 | (887) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1369_4
% 291.07/57.40 | (888) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1369_1) =
% 291.07/57.40 | all_1369_0
% 291.07/57.40 | (889) c_Int_OBit0(all_1369_2) = all_1369_1
% 291.07/57.40 | (890) c_Int_OBit1(c_Int_OPls) = all_1369_2
% 291.07/57.40 | (891) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1369_3
% 291.07/57.40 |
% 291.07/57.40 | DELTA: instantiating (271) with fresh symbol all_1375_0 gives:
% 291.07/57.40 | (892) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1375_0 &
% 291.07/57.40 | $i(all_1375_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 291.07/57.40 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ~ $i(v1)
% 291.07/57.40 | | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 291.07/57.40 | all_1375_0, v2) | c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 291.07/57.40 | all_1375_0, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 291.07/57.40 | all_1375_0, v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 291.07/57.40 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ~ $i(v1)
% 291.07/57.40 | | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 291.07/57.40 | all_1375_0, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 291.07/57.40 | all_1375_0, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 291.07/57.40 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ~ $i(v1)
% 291.07/57.40 | | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 291.07/57.40 | all_1375_0, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 291.07/57.40 | all_1375_0, v2))
% 291.07/57.40 |
% 291.07/57.40 | ALPHA: (892) implies:
% 291.07/57.40 | (893) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1375_0
% 291.07/57.40 |
% 291.07/57.40 | DELTA: instantiating (247) with fresh symbols all_1384_0, all_1384_1,
% 291.07/57.40 | all_1384_2 gives:
% 291.07/57.40 | (894) c_Int_OBit1(c_Int_OPls) = all_1384_2 & c_Int_OBit0(all_1384_2) =
% 291.07/57.40 | all_1384_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 291.07/57.40 | all_1384_1) = all_1384_0 & $i(all_1384_0) & $i(all_1384_1) &
% 291.07/57.40 | $i(all_1384_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 291.07/57.40 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 291.07/57.40 | [v8: $i] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v5, v7) = v8) | ~
% 291.07/57.40 | (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v6, all_1384_0)
% 291.07/57.40 | = v7) | ~ (hAPP(v4, all_1384_0) = v5) | ~ (hAPP(v3, v1) = v4) |
% 291.07/57.40 | ~ (hAPP(v3, v0) = v6) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 291.07/57.40 | class_Rings_Olinordered__idom(v2) | ? [v9: $i] :
% 291.07/57.40 | (c_Groups_Ozero__class_Ozero(v2) = v9 & $i(v9) & ~
% 291.07/57.40 | c_Orderings_Oord__class_Oless(v2, v8, v9)))
% 291.07/57.40 |
% 291.07/57.40 | ALPHA: (894) implies:
% 291.07/57.40 | (895) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1384_1) =
% 291.07/57.40 | all_1384_0
% 291.07/57.40 | (896) c_Int_OBit0(all_1384_2) = all_1384_1
% 291.07/57.40 | (897) c_Int_OBit1(c_Int_OPls) = all_1384_2
% 291.07/57.40 |
% 291.07/57.40 | DELTA: instantiating (171) with fresh symbol all_1387_0 gives:
% 291.07/57.40 | (898) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1387_0 &
% 291.07/57.40 | $i(all_1387_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 291.07/57.40 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 291.07/57.40 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~
% 291.07/57.40 | (c_RealVector_Onorm__class_Onorm(v2, v0) = v5) | ~ (hAPP(v4, v5) =
% 291.07/57.40 | v6) | ~ (hAPP(all_1387_0, v3) = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 291.07/57.40 | $i(v0) | ~ class_RealVector_Oreal__normed__algebra(v2) | ? [v7:
% 291.07/57.40 | $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] :
% 291.07/57.40 | (c_RealVector_Onorm__class_Onorm(v2, v9) = v10 &
% 291.07/57.40 | c_Groups_Otimes__class_Otimes(v2) = v7 & hAPP(v8, v0) = v9 &
% 291.07/57.40 | hAPP(v7, v1) = v8 & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 291.07/57.40 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, v6)))
% 291.07/57.40 |
% 291.07/57.40 | ALPHA: (898) implies:
% 291.07/57.40 | (899) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1387_0
% 291.07/57.40 |
% 291.07/57.40 | DELTA: instantiating (190) with fresh symbols all_1390_0, all_1390_1,
% 291.07/57.40 | all_1390_2 gives:
% 291.07/57.40 | (900) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1390_1 &
% 291.07/57.40 | c_Nat_OSuc(all_1390_1) = all_1390_0 &
% 291.07/57.40 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1390_2 &
% 291.07/57.40 | $i(all_1390_0) & $i(all_1390_1) & $i(all_1390_2) & ! [v0: $i] : !
% 291.07/57.40 | [v1: any] : ! [v2: $i] : (v1 = all_1390_0 | ~ (hAPP(v2, v0) =
% 291.07/57.40 | all_1390_0) | ~ (hAPP(all_1390_2, v1) = v2) | ~ $i(v1) | ~
% 291.07/57.40 | $i(v0)) & ! [v0: any] : ! [v1: $i] : ! [v2: $i] : (v0 =
% 291.07/57.40 | all_1390_0 | ~ (hAPP(v2, v0) = all_1390_0) | ~ (hAPP(all_1390_2,
% 291.07/57.40 | v1) = v2) | ~ $i(v1) | ~ $i(v0)) & ! [v0: $i] : ! [v1: int]
% 291.07/57.40 | : (v1 = all_1390_0 | ~ (hAPP(v0, all_1390_0) = v1) | ~
% 291.07/57.40 | (hAPP(all_1390_2, all_1390_0) = v0))
% 291.07/57.40 |
% 291.07/57.40 | ALPHA: (900) implies:
% 291.07/57.40 | (901) c_Nat_OSuc(all_1390_1) = all_1390_0
% 291.07/57.40 | (902) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1390_1
% 291.07/57.40 |
% 291.07/57.40 | DELTA: instantiating (56) with fresh symbols all_1393_0, all_1393_1,
% 291.07/57.40 | all_1393_2 gives:
% 291.07/57.40 | (903) c_Int_OBit1(c_Int_OPls) = all_1393_2 & c_Int_OBit0(all_1393_2) =
% 291.07/57.40 | all_1393_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 291.07/57.40 | all_1393_1) = all_1393_0 & $i(all_1393_0) & $i(all_1393_1) &
% 291.07/57.40 | $i(all_1393_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 291.07/57.40 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 291.07/57.40 | [v8: $i] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v5, v7) = v8) | ~
% 291.07/57.40 | (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v6, all_1393_0)
% 291.07/57.40 | = v7) | ~ (hAPP(v4, all_1393_0) = v5) | ~ (hAPP(v3, v1) = v4) |
% 291.07/57.40 | ~ (hAPP(v3, v0) = v6) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 291.07/57.40 | class_Rings_Olinordered__idom(v2) | ? [v9: $i] :
% 291.07/57.40 | (c_Groups_Ozero__class_Ozero(v2) = v9 & $i(v9) &
% 291.07/57.40 | c_Orderings_Oord__class_Oless__eq(v2, v9, v8)))
% 291.07/57.40 |
% 291.07/57.40 | ALPHA: (903) implies:
% 291.07/57.40 | (904) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1393_1) =
% 291.07/57.40 | all_1393_0
% 291.07/57.40 | (905) c_Int_OBit0(all_1393_2) = all_1393_1
% 291.07/57.40 | (906) c_Int_OBit1(c_Int_OPls) = all_1393_2
% 291.07/57.40 |
% 291.07/57.40 | DELTA: instantiating (26) with fresh symbols all_1396_0, all_1396_1,
% 291.07/57.40 | all_1396_2, all_1396_3, all_1396_4, all_1396_5, all_1396_6, all_1396_7,
% 291.07/57.40 | all_1396_8 gives:
% 291.07/57.40 | (907) c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1396_3, all_1396_1)
% 291.07/57.40 | = all_1396_0 & c_Power_Opower__class_Opower(tc_RealDef_Oreal) =
% 291.07/57.40 | all_1396_8 & c_Int_OBit1(c_Int_OPls) = all_1396_6 &
% 291.07/57.40 | c_Int_OBit0(all_1396_6) = all_1396_5 &
% 291.07/57.40 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1396_5) =
% 291.07/57.40 | all_1396_4 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1396_0
% 291.07/57.40 | & hAPP(all_1396_2, all_1396_4) = all_1396_1 & hAPP(all_1396_7,
% 291.07/57.40 | all_1396_4) = all_1396_3 & hAPP(all_1396_8, v_y____) = all_1396_2 &
% 291.07/57.40 | hAPP(all_1396_8, v_x____) = all_1396_7 & $i(all_1396_0) &
% 291.07/57.40 | $i(all_1396_1) & $i(all_1396_2) & $i(all_1396_3) & $i(all_1396_4) &
% 291.07/57.40 | $i(all_1396_5) & $i(all_1396_6) & $i(all_1396_7) & $i(all_1396_8)
% 291.07/57.40 |
% 291.07/57.40 | ALPHA: (907) implies:
% 291.07/57.40 | (908) $i(all_1396_3)
% 291.07/57.40 | (909) $i(all_1396_1)
% 291.07/57.40 | (910) hAPP(all_1396_8, v_x____) = all_1396_7
% 291.07/57.40 | (911) hAPP(all_1396_8, v_y____) = all_1396_2
% 291.07/57.40 | (912) hAPP(all_1396_7, all_1396_4) = all_1396_3
% 291.07/57.40 | (913) hAPP(all_1396_2, all_1396_4) = all_1396_1
% 291.07/57.40 | (914) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1396_0
% 291.07/57.40 | (915) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1396_5) =
% 291.07/57.40 | all_1396_4
% 291.07/57.40 | (916) c_Int_OBit0(all_1396_6) = all_1396_5
% 291.07/57.40 | (917) c_Int_OBit1(c_Int_OPls) = all_1396_6
% 291.07/57.40 | (918) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1396_8
% 291.07/57.40 | (919) c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1396_3, all_1396_1)
% 291.07/57.40 | = all_1396_0
% 291.07/57.40 |
% 291.07/57.40 | DELTA: instantiating (121) with fresh symbols all_1398_0, all_1398_1,
% 291.07/57.40 | all_1398_2, all_1398_3, all_1398_4 gives:
% 291.07/57.40 | (920) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1398_0 &
% 291.07/57.40 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1398_4 &
% 291.07/57.40 | c_Int_OBit1(c_Int_OPls) = all_1398_3 & c_Int_OBit0(all_1398_3) =
% 291.07/57.40 | all_1398_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 291.07/57.40 | all_1398_2) = all_1398_1 & $i(all_1398_0) & $i(all_1398_1) &
% 291.07/57.40 | $i(all_1398_2) & $i(all_1398_3) & $i(all_1398_4) & ! [v0: $i] : !
% 291.07/57.40 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v1 | ~
% 291.07/57.40 | (c_NthRoot_Osqrt(v0) = v3) | ~ (hAPP(all_1398_4, v1) = v2) | ~
% 291.07/57.40 | $i(v1) | ~ $i(v0) | ~
% 291.07/57.40 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1398_0, v1)
% 291.07/57.40 | | ? [v4: $i] : ( ~ (v4 = v0) & hAPP(v2, all_1398_1) = v4 &
% 291.07/57.40 | $i(v4)))
% 291.07/57.40 |
% 291.07/57.40 | ALPHA: (920) implies:
% 291.07/57.40 | (921) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1398_2) =
% 291.07/57.40 | all_1398_1
% 291.07/57.40 | (922) c_Int_OBit0(all_1398_3) = all_1398_2
% 291.07/57.40 | (923) c_Int_OBit1(c_Int_OPls) = all_1398_3
% 291.07/57.40 | (924) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1398_4
% 291.07/57.40 | (925) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1398_0
% 291.07/57.40 |
% 291.07/57.40 | DELTA: instantiating (7) with fresh symbols all_1401_0, all_1401_1, all_1401_2
% 291.07/57.40 | gives:
% 291.07/57.40 | (926) c_Int_OBit1(c_Int_OPls) = all_1401_2 & c_Int_OBit0(all_1401_2) =
% 291.07/57.40 | all_1401_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 291.07/57.40 | all_1401_1) = all_1401_0 & $i(all_1401_0) & $i(all_1401_1) &
% 291.07/57.40 | $i(all_1401_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 291.07/57.40 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 291.07/57.40 | (c_Groups_Otimes__class_Otimes(v1) = v3) | ~
% 291.07/57.40 | (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~ (hAPP(v4, v2)
% 291.07/57.40 | = v5) | ~ (hAPP(v3, v2) = v4) | ~ $i(v1) | ~ $i(v0) | ~
% 291.07/57.40 | class_Int_Onumber(v1) | ~ class_Groups_Omonoid__mult(v1) | ? [v6:
% 291.07/57.40 | $i] : ? [v7: $i] : (c_Power_Opower__class_Opower(v1) = v6 &
% 291.07/57.40 | hAPP(v7, all_1401_0) = v5 & hAPP(v6, v2) = v7 & $i(v7) & $i(v6) &
% 291.07/57.40 | $i(v5)))
% 291.07/57.40 |
% 291.07/57.40 | ALPHA: (926) implies:
% 291.07/57.40 | (927) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1401_1) =
% 291.07/57.40 | all_1401_0
% 291.07/57.40 | (928) c_Int_OBit0(all_1401_2) = all_1401_1
% 291.07/57.40 | (929) c_Int_OBit1(c_Int_OPls) = all_1401_2
% 291.07/57.40 |
% 291.07/57.40 | DELTA: instantiating (267) with fresh symbol all_1404_0 gives:
% 291.07/57.40 | (930) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1404_0 &
% 291.07/57.40 | $i(all_1404_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 291.07/57.40 | $i] : ( ~ (c_Nat_OSuc(v3) = v1) | ~ (c_Nat_OSuc(v0) = v2) | ~
% 291.07/57.40 | $i(v3) | ~ $i(v1) | ~ $i(v0) | ~
% 291.07/57.40 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v0) |
% 291.07/57.40 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2)) & ! [v0: $i] :
% 291.07/57.40 | ! [v1: any] : ! [v2: $i] : (v1 = all_1404_0 | ~ (c_Nat_OSuc(v0) =
% 291.07/57.40 | v2) | ~ $i(v1) | ~ $i(v0) | ~
% 291.07/57.40 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2) | ? [v3: $i] :
% 291.07/57.40 | (c_Nat_OSuc(v3) = v1 & $i(v3) &
% 291.07/57.40 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v0))) & ! [v0:
% 291.07/57.40 | $i] : ! [v1: $i] : ( ~ (c_Nat_OSuc(v0) = v1) | ~ $i(v0) |
% 291.07/57.40 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1404_0, v1))
% 291.07/57.40 |
% 291.07/57.40 | ALPHA: (930) implies:
% 291.07/57.40 | (931) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1404_0
% 291.07/57.40 |
% 291.07/57.40 | DELTA: instantiating (182) with fresh symbols all_1407_0, all_1407_1 gives:
% 291.07/57.40 | (932) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1407_0 &
% 291.07/57.40 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1407_1 &
% 291.07/57.40 | $i(all_1407_0) & $i(all_1407_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 291.07/57.40 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 = v3 | ~
% 291.07/57.40 | (hAPP(v4, all_1407_0) = v5) | ~ (hAPP(v2, all_1407_0) = v3) | ~
% 291.07/57.40 | (hAPP(all_1407_1, v1) = v2) | ~ (hAPP(all_1407_1, v0) = v4) | ~
% 291.07/57.40 | $i(v1) | ~ $i(v0)) & ! [v0: $i] : ! [v1: any] : ! [v2: $i] : !
% 291.07/57.40 | [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v2 = v0 | v1 = all_1407_0 |
% 291.07/57.40 | ~ (hAPP(v5, v1) = v4) | ~ (hAPP(v3, v1) = v4) | ~
% 291.07/57.40 | (hAPP(all_1407_1, v2) = v3) | ~ (hAPP(all_1407_1, v0) = v5) | ~
% 291.07/57.40 | $i(v2) | ~ $i(v1) | ~ $i(v0))
% 291.07/57.40 |
% 291.07/57.40 | ALPHA: (932) implies:
% 291.07/57.40 | (933) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1407_0
% 291.07/57.40 |
% 291.07/57.40 | DELTA: instantiating (66) with fresh symbols all_1410_0, all_1410_1,
% 291.07/57.40 | all_1410_2 gives:
% 291.07/57.40 | (934) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1410_1 &
% 291.07/57.40 | c_Nat_OSuc(all_1410_1) = all_1410_0 &
% 291.07/57.40 | c_Power_Opower__class_Opower(tc_Nat_Onat) = all_1410_2 &
% 291.07/57.40 | $i(all_1410_0) & $i(all_1410_1) & $i(all_1410_2) & ! [v0: $i] : !
% 291.07/57.40 | [v1: $i] : ! [v2: int] : (v2 = all_1410_0 | ~ (hAPP(v1, v0) = v2) |
% 291.07/57.40 | ~ (hAPP(all_1410_2, all_1410_0) = v1) | ~ $i(v0)) & ! [v0: $i] :
% 291.07/57.40 | ! [v1: $i] : ! [v2: int] : (v2 = all_1410_0 | ~ (hAPP(v1,
% 291.07/57.40 | all_1410_1) = v2) | ~ (hAPP(all_1410_2, v0) = v1) | ~ $i(v0))
% 291.07/57.40 | & ! [v0: any] : ! [v1: any] : ! [v2: $i] : (v1 = all_1410_0 | v0 =
% 291.07/57.40 | all_1410_1 | ~ (hAPP(v2, v0) = all_1410_0) | ~ (hAPP(all_1410_2,
% 291.07/57.40 | v1) = v2) | ~ $i(v1) | ~ $i(v0))
% 291.07/57.40 |
% 291.07/57.40 | ALPHA: (934) implies:
% 291.07/57.40 | (935) c_Nat_OSuc(all_1410_1) = all_1410_0
% 291.07/57.40 | (936) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1410_1
% 291.07/57.40 |
% 291.07/57.40 | DELTA: instantiating (83) with fresh symbol all_1413_0 gives:
% 291.07/57.40 | (937) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1413_0 &
% 291.07/57.40 | $i(all_1413_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 291.07/57.40 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 291.07/57.40 | (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v0) = v5) |
% 291.07/57.40 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 291.07/57.40 | class_Rings_Ozero__neq__one(v2) | ~
% 291.07/57.40 | class_Rings_Ono__zero__divisors(v2) | ~
% 291.07/57.40 | class_Rings_Omult__zero(v2) | ~ class_Power_Opower(v2) | ? [v6:
% 291.07/57.40 | $i] : (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~ (v6 =
% 291.07/57.40 | v5) | (v5 = v1 & ~ (v0 = all_1413_0))) & ( ~ (v6 = v1) | v5
% 291.07/57.40 | = v1 | v0 = all_1413_0)))
% 291.07/57.40 |
% 291.07/57.40 | ALPHA: (937) implies:
% 291.07/57.40 | (938) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1413_0
% 291.07/57.40 | (939) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 291.07/57.40 | ! [v5: $i] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~
% 291.07/57.40 | (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~
% 291.07/57.40 | $i(v1) | ~ $i(v0) | ~ class_Rings_Ozero__neq__one(v2) | ~
% 291.07/57.40 | class_Rings_Ono__zero__divisors(v2) | ~
% 291.07/57.40 | class_Rings_Omult__zero(v2) | ~ class_Power_Opower(v2) | ? [v6:
% 291.07/57.40 | $i] : (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~ (v6 =
% 291.07/57.40 | v5) | (v5 = v1 & ~ (v0 = all_1413_0))) & ( ~ (v6 = v1) | v5
% 291.07/57.40 | = v1 | v0 = all_1413_0)))
% 291.07/57.40 |
% 291.07/57.40 | DELTA: instantiating (54) with fresh symbols all_1419_0, all_1419_1,
% 291.07/57.40 | all_1419_2, all_1419_3 gives:
% 291.07/57.40 | (940) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1419_3 &
% 291.07/57.40 | c_Int_OBit1(c_Int_OPls) = all_1419_2 & c_Int_OBit0(all_1419_2) =
% 291.07/57.40 | all_1419_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 291.07/57.40 | all_1419_1) = all_1419_0 & $i(all_1419_0) & $i(all_1419_1) &
% 291.07/57.40 | $i(all_1419_2) & $i(all_1419_3) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 291.07/57.40 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 291.07/57.40 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) = v6) | ~
% 291.07/57.40 | (hAPP(v4, all_1419_0) = v5) | ~ (hAPP(v2, all_1419_0) = v3) | ~
% 291.07/57.40 | (hAPP(all_1419_3, v1) = v2) | ~ (hAPP(all_1419_3, v0) = v4) | ~
% 291.07/57.40 | $i(v1) | ~ $i(v0) | ? [v7: $i] : ? [v8: $i] :
% 291.07/57.40 | (c_NthRoot_Osqrt(v6) = v8 &
% 291.07/57.40 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1) = v7 & $i(v8) &
% 291.07/57.40 | $i(v7) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v7,
% 291.07/57.40 | v8)))
% 291.07/57.40 |
% 291.07/57.40 | ALPHA: (940) implies:
% 291.07/57.40 | (941) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1419_1) =
% 291.07/57.40 | all_1419_0
% 291.07/57.40 | (942) c_Int_OBit0(all_1419_2) = all_1419_1
% 291.07/57.40 | (943) c_Int_OBit1(c_Int_OPls) = all_1419_2
% 291.07/57.40 | (944) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1419_3
% 291.07/57.40 |
% 291.07/57.40 | DELTA: instantiating (51) with fresh symbols all_1422_0, all_1422_1,
% 291.07/57.40 | all_1422_2, all_1422_3, all_1422_4 gives:
% 291.07/57.40 | (945) c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1422_4 &
% 291.07/57.40 | c_Int_OBit1(c_Int_OPls) = all_1422_3 & c_Int_OBit0(all_1422_3) =
% 291.07/57.40 | all_1422_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 291.07/57.40 | all_1422_2) = all_1422_1 & hAPP(all_1422_4, all_1422_1) =
% 291.07/57.40 | all_1422_0 & $i(all_1422_0) & $i(all_1422_1) & $i(all_1422_2) &
% 291.07/57.40 | $i(all_1422_3) & $i(all_1422_4) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 291.07/57.40 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 291.07/57.40 | [v7: $i] : (v7 = v3 | ~ (c_Nat_OSuc(v5) = v6) | ~
% 291.07/57.40 | (c_Power_Opower__class_Opower(v1) = v2) | ~
% 291.07/57.40 | (c_Int_Onumber__class_Onumber__of(v1, c_Int_OMin) = v3) | ~
% 291.07/57.40 | (hAPP(v4, v6) = v7) | ~ (hAPP(v2, v3) = v4) | ~ (hAPP(all_1422_0,
% 291.07/57.40 | v0) = v5) | ~ $i(v1) | ~ $i(v0) | ~
% 291.07/57.40 | class_Int_Onumber__ring(v1))
% 291.07/57.40 |
% 291.07/57.40 | ALPHA: (945) implies:
% 291.07/57.40 | (946) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1422_2) =
% 291.07/57.40 | all_1422_1
% 291.07/57.40 | (947) c_Int_OBit0(all_1422_3) = all_1422_2
% 291.07/57.40 | (948) c_Int_OBit1(c_Int_OPls) = all_1422_3
% 291.07/57.40 |
% 291.07/57.40 | DELTA: instantiating (21) with fresh symbols all_1425_0, all_1425_1,
% 291.07/57.40 | all_1425_2, all_1425_3, all_1425_4 gives:
% 291.07/57.40 | (949) c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1425_4 &
% 291.07/57.40 | c_Int_OBit1(c_Int_OPls) = all_1425_3 & c_Int_OBit0(all_1425_3) =
% 291.07/57.40 | all_1425_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 291.07/57.40 | all_1425_2) = all_1425_1 & hAPP(all_1425_4, all_1425_1) =
% 291.07/57.40 | all_1425_0 & $i(all_1425_0) & $i(all_1425_1) & $i(all_1425_2) &
% 291.07/57.41 | $i(all_1425_3) & $i(all_1425_4) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 291.07/57.41 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 291.07/57.41 | (c_Power_Opower__class_Opower(v1) = v2) | ~
% 291.07/57.41 | (c_Int_Onumber__class_Onumber__of(v1, c_Int_OMin) = v3) | ~
% 291.07/57.41 | (hAPP(v4, v5) = v6) | ~ (hAPP(v2, v3) = v4) | ~ (hAPP(all_1425_0,
% 291.07/57.41 | v0) = v5) | ~ $i(v1) | ~ $i(v0) | ~
% 291.07/57.41 | class_Int_Onumber__ring(v1) | (c_Groups_Oone__class_Oone(v1) = v6 &
% 291.07/57.41 | $i(v6)))
% 291.07/57.41 |
% 291.07/57.41 | ALPHA: (949) implies:
% 291.07/57.41 | (950) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1425_2) =
% 291.07/57.41 | all_1425_1
% 291.07/57.41 | (951) c_Int_OBit0(all_1425_3) = all_1425_2
% 291.07/57.41 | (952) c_Int_OBit1(c_Int_OPls) = all_1425_3
% 291.07/57.41 |
% 291.07/57.41 | DELTA: instantiating (55) with fresh symbols all_1428_0, all_1428_1,
% 291.07/57.41 | all_1428_2, all_1428_3 gives:
% 291.07/57.41 | (953) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1428_3 &
% 291.07/57.41 | c_Int_OBit1(c_Int_OPls) = all_1428_2 & c_Int_OBit0(all_1428_2) =
% 291.07/57.41 | all_1428_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 291.07/57.41 | all_1428_1) = all_1428_0 & $i(all_1428_0) & $i(all_1428_1) &
% 291.07/57.41 | $i(all_1428_2) & $i(all_1428_3) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 291.07/57.41 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 291.07/57.41 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) = v6) | ~
% 291.07/57.41 | (hAPP(v4, all_1428_0) = v5) | ~ (hAPP(v2, all_1428_0) = v3) | ~
% 291.07/57.41 | (hAPP(all_1428_3, v1) = v4) | ~ (hAPP(all_1428_3, v0) = v2) | ~
% 291.07/57.41 | $i(v1) | ~ $i(v0) | ? [v7: $i] : ? [v8: $i] :
% 291.07/57.41 | (c_NthRoot_Osqrt(v6) = v8 &
% 291.07/57.41 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1) = v7 & $i(v8) &
% 291.07/57.41 | $i(v7) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v7,
% 291.07/57.41 | v8)))
% 291.07/57.41 |
% 291.07/57.41 | ALPHA: (953) implies:
% 291.07/57.41 | (954) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1428_1) =
% 291.07/57.41 | all_1428_0
% 291.07/57.41 | (955) c_Int_OBit0(all_1428_2) = all_1428_1
% 291.07/57.41 | (956) c_Int_OBit1(c_Int_OPls) = all_1428_2
% 291.07/57.41 | (957) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1428_3
% 291.07/57.41 |
% 291.07/57.41 | DELTA: instantiating (127) with fresh symbols all_1431_0, all_1431_1,
% 291.07/57.41 | all_1431_2, all_1431_3, all_1431_4 gives:
% 291.07/57.41 | (958) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1431_4 &
% 291.07/57.41 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1431_3 &
% 291.07/57.41 | c_Int_OBit1(c_Int_OPls) = all_1431_2 & c_Int_OBit0(all_1431_2) =
% 291.07/57.41 | all_1431_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 291.07/57.41 | all_1431_1) = all_1431_0 & $i(all_1431_0) & $i(all_1431_1) &
% 291.07/57.41 | $i(all_1431_2) & $i(all_1431_3) & $i(all_1431_4) & ! [v0: $i] : !
% 291.07/57.41 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 291.07/57.41 | [v6: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5)
% 291.07/57.41 | = v6) | ~ (hAPP(v4, all_1431_0) = v5) | ~ (hAPP(v2, all_1431_0)
% 291.07/57.41 | = v3) | ~ (hAPP(all_1431_3, v1) = v2) | ~ (hAPP(all_1431_3, v0)
% 291.07/57.41 | = v4) | ~ $i(v1) | ~ $i(v0) | ? [v7: $i] :
% 291.07/57.41 | (c_NthRoot_Osqrt(v6) = v7 & $i(v7) &
% 291.07/57.41 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1431_4,
% 291.07/57.41 | v7)))
% 291.07/57.41 |
% 291.07/57.41 | ALPHA: (958) implies:
% 291.07/57.41 | (959) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1431_1) =
% 291.07/57.41 | all_1431_0
% 291.07/57.41 | (960) c_Int_OBit0(all_1431_2) = all_1431_1
% 291.07/57.41 | (961) c_Int_OBit1(c_Int_OPls) = all_1431_2
% 291.07/57.41 | (962) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1431_3
% 291.07/57.41 | (963) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1431_4
% 291.07/57.41 |
% 291.07/57.41 | DELTA: instantiating (135) with fresh symbols all_1434_0, all_1434_1,
% 291.07/57.41 | all_1434_2 gives:
% 291.07/57.41 | (964) c_Int_OBit1(c_Int_OPls) = all_1434_2 & c_Int_OBit0(all_1434_2) =
% 291.07/57.41 | all_1434_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 291.07/57.41 | all_1434_1) = all_1434_0 & $i(all_1434_0) & $i(all_1434_1) &
% 291.07/57.41 | $i(all_1434_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 291.07/57.41 | $i] : ( ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v2,
% 291.07/57.41 | v0) = v3) | ~ $i(v1) | ~ $i(v0) | ~
% 291.07/57.41 | class_Rings_Oring__1__no__zero__divisors(v1) | ? [v4: $i] : ?
% 291.07/57.41 | [v5: $i] : (c_Groups_Ozero__class_Ozero(v1) = v5 & $i(v5) & ( ~ (v5
% 291.07/57.41 | = v0) | (v4 = v0 & hAPP(v3, all_1434_0) = v0)) & (v5 = v0 | (
% 291.07/57.41 | ~ (v5 = v4) & hAPP(v3, all_1434_0) = v4 & $i(v4)))))
% 291.07/57.41 |
% 291.07/57.41 | ALPHA: (964) implies:
% 291.07/57.41 | (965) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1434_1) =
% 291.07/57.41 | all_1434_0
% 291.07/57.41 | (966) c_Int_OBit0(all_1434_2) = all_1434_1
% 291.07/57.41 | (967) c_Int_OBit1(c_Int_OPls) = all_1434_2
% 291.07/57.41 | (968) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 291.07/57.41 | (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v2, v0) = v3) |
% 291.07/57.41 | ~ $i(v1) | ~ $i(v0) | ~
% 291.07/57.41 | class_Rings_Oring__1__no__zero__divisors(v1) | ? [v4: $i] : ?
% 291.07/57.41 | [v5: $i] : (c_Groups_Ozero__class_Ozero(v1) = v5 & $i(v5) & ( ~ (v5
% 291.07/57.41 | = v0) | (v4 = v0 & hAPP(v3, all_1434_0) = v0)) & (v5 = v0 | (
% 291.07/57.41 | ~ (v5 = v4) & hAPP(v3, all_1434_0) = v4 & $i(v4)))))
% 291.07/57.41 |
% 291.07/57.41 | DELTA: instantiating (119) with fresh symbols all_1440_0, all_1440_1,
% 291.07/57.41 | all_1440_2, all_1440_3 gives:
% 291.07/57.41 | (969) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1440_3 &
% 291.07/57.41 | c_Int_OBit1(c_Int_OPls) = all_1440_2 & c_Int_OBit0(all_1440_2) =
% 291.07/57.41 | all_1440_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 291.07/57.41 | all_1440_1) = all_1440_0 & $i(all_1440_0) & $i(all_1440_1) &
% 291.07/57.41 | $i(all_1440_2) & $i(all_1440_3) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 291.07/57.41 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 291.07/57.41 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) = v6) | ~
% 291.07/57.41 | (hAPP(v4, all_1440_0) = v5) | ~ (hAPP(v2, all_1440_0) = v3) | ~
% 291.07/57.41 | (hAPP(all_1440_3, v1) = v2) | ~ (hAPP(all_1440_3, v0) = v4) | ~
% 291.07/57.41 | $i(v1) | ~ $i(v0) | ? [v7: $i] : ? [v8: $i] :
% 291.07/57.41 | (c_NthRoot_Osqrt(v6) = v8 &
% 291.07/57.41 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v7) = v8 &
% 291.07/57.41 | c_Complex_Ocomplex_OComplex(v1, v0) = v7 & $i(v8) & $i(v7)))
% 291.07/57.41 |
% 291.07/57.41 | ALPHA: (969) implies:
% 291.07/57.41 | (970) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1440_1) =
% 291.07/57.41 | all_1440_0
% 291.07/57.41 | (971) c_Int_OBit0(all_1440_2) = all_1440_1
% 291.07/57.41 | (972) c_Int_OBit1(c_Int_OPls) = all_1440_2
% 291.07/57.41 | (973) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1440_3
% 291.07/57.41 |
% 291.07/57.41 | DELTA: instantiating (15) with fresh symbols all_1443_0, all_1443_1,
% 291.07/57.41 | all_1443_2 gives:
% 291.07/57.41 | (974) c_Int_OBit1(all_1443_2) = all_1443_1 & c_Int_OBit1(c_Int_OPls) =
% 291.07/57.41 | all_1443_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 291.07/57.41 | all_1443_1) = all_1443_0 & $i(all_1443_0) & $i(all_1443_1) &
% 291.07/57.41 | $i(all_1443_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 291.07/57.41 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 291.07/57.41 | (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v5, v0) = v6) |
% 291.07/57.41 | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(v2, v4) = v5) | ~ (hAPP(v2, v0)
% 291.07/57.41 | = v3) | ~ $i(v1) | ~ $i(v0) | ~ class_Groups_Omonoid__mult(v1)
% 291.07/57.41 | | ? [v7: $i] : ? [v8: $i] : (c_Power_Opower__class_Opower(v1) =
% 291.07/57.41 | v7 & hAPP(v8, all_1443_0) = v6 & hAPP(v7, v0) = v8 & $i(v8) &
% 291.07/57.41 | $i(v7) & $i(v6)))
% 291.07/57.41 |
% 291.07/57.41 | ALPHA: (974) implies:
% 291.07/57.41 | (975) c_Int_OBit1(c_Int_OPls) = all_1443_2
% 291.07/57.41 |
% 291.07/57.41 | DELTA: instantiating (84) with fresh symbols all_1446_0, all_1446_1,
% 291.07/57.41 | all_1446_2 gives:
% 291.07/57.41 | (976) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1446_2 &
% 291.07/57.41 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1446_1 &
% 291.07/57.41 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1446_0 & $i(all_1446_0)
% 291.07/57.41 | & $i(all_1446_1) & $i(all_1446_2) & ! [v0: $i] : ! [v1: any] : !
% 291.07/57.41 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v1 = all_1446_2
% 291.07/57.41 | | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, all_1446_0) =
% 291.07/57.41 | v2) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v4) = v5)
% 291.07/57.41 | | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_1446_1, v2) = v3) | ~
% 291.07/57.41 | $i(v1) | ~ $i(v0) | ? [v6: $i] : (hAPP(v6, v0) = v5 &
% 291.07/57.41 | hAPP(all_1446_1, v1) = v6 & $i(v6) & $i(v5))) & ! [v0: $i] : !
% 291.07/57.41 | [v1: $i] : ! [v2: int] : (v2 = all_1446_2 | ~ (hAPP(v1, v0) = v2) |
% 291.07/57.41 | ~ (hAPP(all_1446_1, all_1446_2) = v1) | ~ $i(v0))
% 291.07/57.41 |
% 291.07/57.41 | ALPHA: (976) implies:
% 291.07/57.41 | (977) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1446_0
% 291.07/57.41 | (978) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1446_2
% 291.07/57.41 |
% 291.07/57.41 | DELTA: instantiating (240) with fresh symbols all_1449_0, all_1449_1,
% 291.07/57.41 | all_1449_2 gives:
% 291.07/57.41 | (979) c_Int_OBit1(c_Int_OPls) = all_1449_2 & c_Int_OBit0(all_1449_2) =
% 291.07/57.41 | all_1449_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 291.07/57.41 | all_1449_1) = all_1449_0 & $i(all_1449_0) & $i(all_1449_1) &
% 291.07/57.41 | $i(all_1449_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 291.07/57.41 | $i] : ( ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v2,
% 291.07/57.41 | v0) = v3) | ~ $i(v1) | ~ $i(v0) | ~
% 291.07/57.41 | class_Rings_Olinordered__idom(v1) | ? [v4: $i] : ? [v5: $i] :
% 291.07/57.41 | (c_Groups_Ozero__class_Ozero(v1) = v4 & $i(v4) & ( ~ (v4 = v0) |
% 291.07/57.41 | (hAPP(v3, all_1449_0) = v5 & $i(v5) & ~
% 291.07/57.41 | c_Orderings_Oord__class_Oless(v1, v0, v5))) & (v4 = v0 |
% 291.07/57.41 | (hAPP(v3, all_1449_0) = v5 & $i(v5) &
% 291.07/57.41 | c_Orderings_Oord__class_Oless(v1, v4, v5)))))
% 291.07/57.41 |
% 291.07/57.41 | ALPHA: (979) implies:
% 291.07/57.41 | (980) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1449_1) =
% 291.07/57.41 | all_1449_0
% 291.07/57.41 | (981) c_Int_OBit0(all_1449_2) = all_1449_1
% 291.07/57.41 | (982) c_Int_OBit1(c_Int_OPls) = all_1449_2
% 291.07/57.41 | (983) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 291.07/57.41 | (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v2, v0) = v3) |
% 291.07/57.41 | ~ $i(v1) | ~ $i(v0) | ~ class_Rings_Olinordered__idom(v1) | ?
% 291.07/57.41 | [v4: $i] : ? [v5: $i] : (c_Groups_Ozero__class_Ozero(v1) = v4 &
% 291.07/57.41 | $i(v4) & ( ~ (v4 = v0) | (hAPP(v3, all_1449_0) = v5 & $i(v5) & ~
% 291.07/57.41 | c_Orderings_Oord__class_Oless(v1, v0, v5))) & (v4 = v0 |
% 291.07/57.41 | (hAPP(v3, all_1449_0) = v5 & $i(v5) &
% 291.07/57.41 | c_Orderings_Oord__class_Oless(v1, v4, v5)))))
% 291.07/57.41 |
% 291.07/57.41 | DELTA: instantiating (233) with fresh symbol all_1452_0 gives:
% 291.07/57.41 | (984) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1452_0 &
% 291.07/57.41 | $i(all_1452_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 291.07/57.41 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 291.07/57.41 | [v8: $i] : ! [v9: $i] : ! [v10: $i] : ( ~
% 291.07/57.41 | (c_RealVector_Onorm__class_Onorm(v4, v7) = v8) | ~
% 291.07/57.41 | (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (hAPP(v9, v0) = v10)
% 291.07/57.41 | | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v3) = v6) | ~
% 291.07/57.41 | (hAPP(all_1452_0, v2) = v9) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) |
% 291.07/57.41 | ~ $i(v1) | ~ $i(v0) | ~
% 291.07/57.41 | class_RealVector_Oreal__normed__algebra(v4) |
% 291.07/57.41 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v10) | ? [v11:
% 291.07/57.41 | $i] : ? [v12: $i] : ((c_RealVector_Onorm__class_Onorm(v4, v3) =
% 291.07/57.41 | v11 & $i(v11) & ~
% 291.07/57.41 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11, v2)) |
% 291.07/57.41 | (c_RealVector_Onorm__class_Onorm(v4, v1) = v12 & $i(v12) & ~
% 291.07/57.41 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12, v0))))
% 291.07/57.41 |
% 291.07/57.41 | ALPHA: (984) implies:
% 291.07/57.41 | (985) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1452_0
% 291.07/57.41 |
% 291.07/57.41 | DELTA: instantiating (124) with fresh symbols all_1455_0, all_1455_1,
% 291.07/57.41 | all_1455_2, all_1455_3, all_1455_4 gives:
% 291.07/57.41 | (986) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1455_0 &
% 291.07/57.41 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1455_4 &
% 291.07/57.41 | c_Int_OBit1(c_Int_OPls) = all_1455_3 & c_Int_OBit0(all_1455_3) =
% 291.07/57.41 | all_1455_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 291.07/57.41 | all_1455_2) = all_1455_1 & $i(all_1455_0) & $i(all_1455_1) &
% 291.07/57.41 | $i(all_1455_2) & $i(all_1455_3) & $i(all_1455_4) & ! [v0: $i] : !
% 291.07/57.41 | [v1: any] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] :
% 291.07/57.41 | ! [v6: $i] : (v1 = all_1455_0 | ~
% 291.07/57.41 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) = v6) | ~
% 291.07/57.41 | (hAPP(v4, all_1455_1) = v5) | ~ (hAPP(v2, all_1455_1) = v3) | ~
% 291.07/57.41 | (hAPP(all_1455_4, v1) = v2) | ~ (hAPP(all_1455_4, v0) = v4) | ~
% 291.07/57.41 | $i(v1) | ~ $i(v0) | ? [v7: $i] : ( ~ (v7 = v0) &
% 291.07/57.41 | c_NthRoot_Osqrt(v6) = v7 & $i(v7)))
% 291.07/57.41 |
% 291.07/57.41 | ALPHA: (986) implies:
% 291.07/57.41 | (987) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1455_2) =
% 291.07/57.41 | all_1455_1
% 291.07/57.41 | (988) c_Int_OBit0(all_1455_3) = all_1455_2
% 291.07/57.41 | (989) c_Int_OBit1(c_Int_OPls) = all_1455_3
% 291.07/57.41 | (990) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1455_4
% 291.07/57.41 | (991) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1455_0
% 291.07/57.41 |
% 291.07/57.41 | DELTA: instantiating (53) with fresh symbols all_1458_0, all_1458_1,
% 291.07/57.41 | all_1458_2, all_1458_3, all_1458_4 gives:
% 291.07/57.41 | (992) c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1458_4 &
% 291.07/57.41 | c_Int_OBit1(c_Int_OPls) = all_1458_3 & c_Int_OBit0(all_1458_3) =
% 291.07/57.41 | all_1458_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 291.07/57.41 | all_1458_2) = all_1458_1 & hAPP(all_1458_4, all_1458_1) =
% 291.07/57.41 | all_1458_0 & $i(all_1458_0) & $i(all_1458_1) & $i(all_1458_2) &
% 291.07/57.41 | $i(all_1458_3) & $i(all_1458_4) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 291.07/57.41 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 291.07/57.41 | (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v5) = v6) |
% 291.07/57.41 | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_1458_0, v0) = v5) | ~ $i(v2)
% 291.07/57.41 | | ~ $i(v1) | ~ $i(v0) | ~ class_Rings_Olinordered__idom(v2) | ?
% 291.07/57.41 | [v7: $i] : (c_Groups_Ozero__class_Ozero(v2) = v7 & $i(v7) &
% 291.07/57.41 | c_Orderings_Oord__class_Oless__eq(v2, v7, v6)))
% 291.07/57.41 |
% 291.07/57.41 | ALPHA: (992) implies:
% 291.07/57.41 | (993) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1458_2) =
% 291.07/57.41 | all_1458_1
% 291.07/57.41 | (994) c_Int_OBit0(all_1458_3) = all_1458_2
% 291.07/57.41 | (995) c_Int_OBit1(c_Int_OPls) = all_1458_3
% 291.07/57.41 |
% 291.07/57.41 | DELTA: instantiating (86) with fresh symbol all_1461_0 gives:
% 291.07/57.41 | (996) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1461_0 &
% 291.07/57.41 | $i(all_1461_0) & ! [v0: any] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 291.07/57.41 | $i] : ! [v4: $i] : ! [v5: $i] : (v5 = v3 | v0 = all_1461_0 | ~
% 291.07/57.41 | (c_Groups_Ozero__class_Ozero(v1) = v3) | ~
% 291.07/57.41 | (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v4, v0) = v5) |
% 291.07/57.41 | ~ (hAPP(v2, v3) = v4) | ~ $i(v1) | ~ $i(v0) | ~
% 291.07/57.41 | class_Rings_Osemiring__0(v1) | ~ class_Power_Opower(v1)) & ! [v0:
% 291.07/57.41 | $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 291.07/57.41 | (c_Groups_Ozero__class_Ozero(v0) = v2) | ~
% 291.07/57.41 | (c_Power_Opower__class_Opower(v0) = v1) | ~ (hAPP(v3, all_1461_0)
% 291.07/57.41 | = v4) | ~ (hAPP(v1, v2) = v3) | ~ $i(v0) | ~
% 291.07/57.41 | class_Rings_Osemiring__0(v0) | ~ class_Power_Opower(v0) |
% 291.07/57.41 | (c_Groups_Oone__class_Oone(v0) = v4 & $i(v4)))
% 291.07/57.41 |
% 291.07/57.41 | ALPHA: (996) implies:
% 291.07/57.41 | (997) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1461_0
% 291.07/57.41 |
% 291.07/57.41 | DELTA: instantiating (165) with fresh symbol all_1464_0 gives:
% 291.07/57.41 | (998) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1464_0 &
% 291.07/57.41 | $i(all_1464_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 291.07/57.41 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 291.07/57.41 | (c_Power_Opower__class_Opower(v2) = v3) | ~
% 291.07/57.41 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v5) | ~
% 291.07/57.41 | (hAPP(v4, v5) = v6) | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~
% 291.07/57.41 | $i(v1) | ~ $i(v0) | ~ class_Rings_Ozero__neq__one(v2) | ~
% 291.07/57.41 | class_Rings_Ono__zero__divisors(v2) | ~
% 291.07/57.41 | class_Rings_Omult__zero(v2) | ~ class_Power_Opower(v2) | ? [v7:
% 291.07/57.41 | $i] : (c_Groups_Ozero__class_Ozero(v2) = v7 & $i(v7) & ( ~ (v7 =
% 291.07/57.41 | v6) | (v6 = v1 & ~ (v5 = all_1464_0))) & ( ~ (v7 = v1) | v6
% 291.07/57.41 | = v1 | v5 = all_1464_0)))
% 291.07/57.41 |
% 291.07/57.41 | ALPHA: (998) implies:
% 291.07/57.41 | (999) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1464_0
% 291.07/57.41 | (1000) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i]
% 291.07/57.41 | : ! [v5: $i] : ! [v6: $i] : ( ~ (c_Power_Opower__class_Opower(v2)
% 291.07/57.41 | = v3) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) =
% 291.07/57.41 | v5) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(v3, v1) = v4) | ~
% 291.07/57.41 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 291.07/57.41 | class_Rings_Ozero__neq__one(v2) | ~
% 291.07/57.41 | class_Rings_Ono__zero__divisors(v2) | ~
% 291.07/57.41 | class_Rings_Omult__zero(v2) | ~ class_Power_Opower(v2) | ? [v7:
% 291.07/57.41 | $i] : (c_Groups_Ozero__class_Ozero(v2) = v7 & $i(v7) & ( ~ (v7 =
% 291.07/57.41 | v6) | (v6 = v1 & ~ (v5 = all_1464_0))) & ( ~ (v7 = v1) | v6
% 291.07/57.41 | = v1 | v5 = all_1464_0)))
% 291.07/57.41 |
% 291.07/57.41 | DELTA: instantiating (125) with fresh symbols all_1467_0, all_1467_1,
% 291.07/57.41 | all_1467_2, all_1467_3, all_1467_4 gives:
% 291.07/57.41 | (1001) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1467_0 &
% 291.07/57.41 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1467_4 &
% 291.07/57.41 | c_Int_OBit1(c_Int_OPls) = all_1467_3 & c_Int_OBit0(all_1467_3) =
% 291.07/57.41 | all_1467_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 291.07/57.41 | all_1467_2) = all_1467_1 & $i(all_1467_0) & $i(all_1467_1) &
% 291.07/57.41 | $i(all_1467_2) & $i(all_1467_3) & $i(all_1467_4) & ! [v0: any] : !
% 291.07/57.41 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] :
% 291.07/57.41 | ! [v6: $i] : (v0 = all_1467_0 | ~
% 291.07/57.41 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) = v6) | ~
% 291.07/57.41 | (hAPP(v4, all_1467_1) = v5) | ~ (hAPP(v2, all_1467_1) = v3) | ~
% 291.07/57.41 | (hAPP(all_1467_4, v1) = v2) | ~ (hAPP(all_1467_4, v0) = v4) | ~
% 291.07/57.41 | $i(v1) | ~ $i(v0) | ? [v7: $i] : ( ~ (v7 = v1) &
% 291.07/57.41 | c_NthRoot_Osqrt(v6) = v7 & $i(v7)))
% 291.07/57.41 |
% 291.07/57.41 | ALPHA: (1001) implies:
% 291.07/57.41 | (1002) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1467_2) =
% 291.07/57.41 | all_1467_1
% 291.07/57.41 | (1003) c_Int_OBit0(all_1467_3) = all_1467_2
% 291.07/57.42 | (1004) c_Int_OBit1(c_Int_OPls) = all_1467_3
% 291.07/57.42 | (1005) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1467_4
% 291.07/57.42 | (1006) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1467_0
% 291.07/57.42 |
% 291.07/57.42 | DELTA: instantiating (150) with fresh symbols all_1470_0, all_1470_1,
% 291.07/57.42 | all_1470_2, all_1470_3, all_1470_4 gives:
% 291.07/57.42 | (1007) c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1470_4 &
% 291.07/57.42 | c_Int_OBit1(c_Int_OPls) = all_1470_3 & c_Int_OBit0(all_1470_3) =
% 291.07/57.42 | all_1470_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 291.07/57.42 | all_1470_2) = all_1470_1 & hAPP(all_1470_4, all_1470_1) =
% 291.07/57.42 | all_1470_0 & $i(all_1470_0) & $i(all_1470_1) & $i(all_1470_2) &
% 291.07/57.42 | $i(all_1470_3) & $i(all_1470_4) & ! [v0: $i] : ! [v1: $i] : !
% 291.07/57.42 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (
% 291.07/57.42 | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v5) = v6)
% 291.07/57.42 | | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_1470_0, v0) = v5) | ~
% 291.07/57.42 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 291.07/57.42 | class_Rings_Olinordered__idom(v2) | ? [v7: $i] :
% 291.07/57.42 | (c_Groups_Ozero__class_Ozero(v2) = v7 & $i(v7) & (v7 = v1 | ~
% 291.07/57.42 | c_Orderings_Oord__class_Oless__eq(v2, v6, v7))))
% 291.07/57.42 |
% 291.07/57.42 | ALPHA: (1007) implies:
% 291.07/57.42 | (1008) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1470_2) =
% 291.07/57.42 | all_1470_1
% 291.07/57.42 | (1009) c_Int_OBit0(all_1470_3) = all_1470_2
% 291.07/57.42 | (1010) c_Int_OBit1(c_Int_OPls) = all_1470_3
% 291.07/57.42 |
% 291.07/57.42 | DELTA: instantiating (87) with fresh symbols all_1473_0, all_1473_1,
% 291.07/57.42 | all_1473_2, all_1473_3 gives:
% 291.07/57.42 | (1011) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1473_3 &
% 291.07/57.42 | c_Power_Opower__class_Opower(tc_Nat_Onat) = all_1473_2 &
% 291.07/57.42 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1473_0 &
% 291.07/57.42 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1473_1 & $i(all_1473_0)
% 291.07/57.42 | & $i(all_1473_1) & $i(all_1473_2) & $i(all_1473_3) & ! [v0: $i] :
% 291.07/57.42 | ! [v1: any] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i]
% 291.07/57.42 | : ! [v6: $i] : (v1 = all_1473_3 | ~
% 291.07/57.42 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, all_1473_1) = v4)
% 291.07/57.42 | | ~ (hAPP(v3, v5) = v6) | ~ (hAPP(v2, v4) = v5) | ~
% 291.07/57.42 | (hAPP(all_1473_0, v0) = v3) | ~ (hAPP(all_1473_2, v0) = v2) | ~
% 291.07/57.42 | $i(v1) | ~ $i(v0) | (hAPP(v2, v1) = v6 & $i(v6))) & ! [v0: $i] :
% 291.07/57.42 | ! [v1: $i] : ! [v2: int] : (v2 = all_1473_1 | ~ (hAPP(v1,
% 291.07/57.42 | all_1473_3) = v2) | ~ (hAPP(all_1473_2, v0) = v1) | ~
% 291.07/57.42 | $i(v0))
% 291.07/57.42 |
% 291.07/57.42 | ALPHA: (1011) implies:
% 291.07/57.42 | (1012) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1473_3
% 291.07/57.42 |
% 291.07/57.42 | DELTA: instantiating (139) with fresh symbols all_1476_0, all_1476_1,
% 291.07/57.42 | all_1476_2 gives:
% 291.07/57.42 | (1013) c_Int_OBit1(c_Int_OPls) = all_1476_2 & c_Int_OBit0(all_1476_2) =
% 291.07/57.42 | all_1476_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 291.07/57.42 | all_1476_1) = all_1476_0 & $i(all_1476_0) & $i(all_1476_1) &
% 291.07/57.42 | $i(all_1476_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 291.07/57.42 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 291.07/57.42 | (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v3, v1) = v4) |
% 291.07/57.42 | ~ (hAPP(v3, v0) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 291.07/57.42 | class_Rings_Olinordered__semidom(v2) |
% 291.07/57.42 | c_Orderings_Oord__class_Oless__eq(v2, v1, v0) | ? [v6: $i] : ?
% 291.07/57.42 | [v7: $i] : ? [v8: $i] : ((c_Groups_Ozero__class_Ozero(v2) = v8 &
% 291.07/57.42 | $i(v8) & ~ c_Orderings_Oord__class_Oless__eq(v2, v8, v0)) |
% 291.07/57.42 | (hAPP(v5, all_1476_0) = v7 & hAPP(v4, all_1476_0) = v6 & $i(v7)
% 291.07/57.42 | & $i(v6) & ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v7))))
% 291.07/57.42 |
% 291.07/57.42 | ALPHA: (1013) implies:
% 291.07/57.42 | (1014) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1476_1) =
% 291.07/57.42 | all_1476_0
% 291.07/57.42 | (1015) c_Int_OBit0(all_1476_2) = all_1476_1
% 291.07/57.42 | (1016) c_Int_OBit1(c_Int_OPls) = all_1476_2
% 291.07/57.42 |
% 291.07/57.42 | DELTA: instantiating (245) with fresh symbols all_1479_0, all_1479_1,
% 291.07/57.42 | all_1479_2 gives:
% 291.07/57.42 | (1017) c_Int_OBit1(c_Int_OPls) = all_1479_2 & c_Int_OBit0(all_1479_2) =
% 291.07/57.42 | all_1479_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 291.07/57.42 | all_1479_1) = all_1479_0 & $i(all_1479_0) & $i(all_1479_1) &
% 291.07/57.42 | $i(all_1479_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 291.07/57.42 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 291.07/57.42 | (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v3, v1) = v4) |
% 291.07/57.42 | ~ (hAPP(v3, v0) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 291.07/57.42 | class_Rings_Olinordered__semidom(v2) |
% 291.07/57.42 | c_Orderings_Oord__class_Oless(v2, v1, v0) | ? [v6: $i] : ? [v7:
% 291.07/57.42 | $i] : ? [v8: $i] : ((c_Groups_Ozero__class_Ozero(v2) = v8 &
% 291.07/57.42 | $i(v8) & ~ c_Orderings_Oord__class_Oless__eq(v2, v8, v0)) |
% 291.07/57.42 | (hAPP(v5, all_1479_0) = v7 & hAPP(v4, all_1479_0) = v6 & $i(v7)
% 291.07/57.42 | & $i(v6) & ~ c_Orderings_Oord__class_Oless(v2, v6, v7))))
% 291.07/57.42 |
% 291.07/57.42 | ALPHA: (1017) implies:
% 291.07/57.42 | (1018) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1479_1) =
% 291.07/57.42 | all_1479_0
% 291.07/57.42 | (1019) c_Int_OBit0(all_1479_2) = all_1479_1
% 291.07/57.42 | (1020) c_Int_OBit1(c_Int_OPls) = all_1479_2
% 291.07/57.42 |
% 291.07/57.42 | DELTA: instantiating (232) with fresh symbols all_1482_0, all_1482_1 gives:
% 291.07/57.42 | (1021) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1482_1 &
% 291.07/57.42 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1482_0 &
% 291.07/57.42 | $i(all_1482_0) & $i(all_1482_1) & ! [v0: $i] : ! [v1: $i] : !
% 291.07/57.42 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v3,
% 291.07/57.42 | v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_1482_0, v2)
% 291.07/57.42 | = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 291.07/57.42 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1482_1, v2) |
% 291.07/57.42 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v5) |
% 291.07/57.42 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0)) & !
% 291.07/57.42 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 291.07/57.42 | ! [v5: $i] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~
% 291.07/57.42 | (hAPP(all_1482_0, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 291.07/57.42 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1482_1, v2)
% 291.07/57.42 | | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) |
% 291.07/57.42 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v5))
% 291.07/57.42 |
% 291.07/57.42 | ALPHA: (1021) implies:
% 291.07/57.42 | (1022) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1482_0
% 291.07/57.42 | (1023) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1482_1
% 291.07/57.42 |
% 291.07/57.42 | DELTA: instantiating (101) with fresh symbol all_1485_0 gives:
% 291.07/57.42 | (1024) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1485_0 &
% 291.07/57.42 | $i(all_1485_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 291.07/57.42 | $i] : (v3 = v2 | ~ (c_Complex_Ocomplex_OComplex(v1, all_1485_0) =
% 291.07/57.42 | v2) | ~ (c_Int_Onumber__class_Onumber__of(tc_Complex_Ocomplex,
% 291.07/57.42 | v0) = v3) | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] : ( ~ (v4 =
% 291.07/57.42 | v1) & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v0) =
% 291.07/57.42 | v4 & $i(v4))) & ! [v0: $i] : ! [v1: any] : ! [v2: $i] : !
% 291.07/57.42 | [v3: $i] : (v1 = all_1485_0 | ~ (c_Complex_Ocomplex_OComplex(v2,
% 291.07/57.42 | v1) = v3) | ~
% 291.07/57.42 | (c_Int_Onumber__class_Onumber__of(tc_Complex_Ocomplex, v0) = v3) |
% 291.07/57.42 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0)) & ! [v0: $i] : ! [v1: $i] :
% 291.07/57.42 | ! [v2: $i] : ! [v3: $i] : ( ~ (c_Complex_Ocomplex_OComplex(v2, v1)
% 291.07/57.42 | = v3) | ~
% 291.07/57.42 | (c_Int_Onumber__class_Onumber__of(tc_Complex_Ocomplex, v0) = v3) |
% 291.07/57.42 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 291.07/57.42 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v0) = v2)
% 291.07/57.42 |
% 291.07/57.42 | ALPHA: (1024) implies:
% 291.07/57.42 | (1025) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1485_0
% 291.07/57.42 |
% 291.07/57.42 | DELTA: instantiating (200) with fresh symbols all_1488_0, all_1488_1,
% 291.07/57.42 | all_1488_2, all_1488_3, all_1488_4 gives:
% 291.07/57.42 | (1026) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1488_4 &
% 291.07/57.42 | c_Int_OBit1(c_Int_OPls) = all_1488_3 & c_Int_OBit0(all_1488_3) =
% 291.07/57.42 | all_1488_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 291.07/57.42 | all_1488_2) = all_1488_1 &
% 291.07/57.42 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1488_0 &
% 291.07/57.42 | $i(all_1488_0) & $i(all_1488_1) & $i(all_1488_2) & $i(all_1488_3) &
% 291.07/57.42 | $i(all_1488_4) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 291.07/57.42 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 291.07/57.42 | [v8: $i] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 291.07/57.42 | v1, v7) = v8) | ~ (c_NthRoot_Osqrt(v6) = v7) | ~
% 291.07/57.42 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) = v6) | ~
% 291.07/57.42 | (hAPP(v4, all_1488_1) = v5) | ~ (hAPP(v2, all_1488_1) = v3) | ~
% 291.07/57.42 | (hAPP(all_1488_4, v1) = v2) | ~ (hAPP(all_1488_4, v0) = v4) | ~
% 291.07/57.42 | $i(v1) | ~ $i(v0) | ? [v9: $i] :
% 291.07/57.42 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v8) = v9 & $i(v9) &
% 291.07/57.42 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v9,
% 291.07/57.42 | all_1488_0)))
% 291.07/57.42 |
% 291.07/57.42 | ALPHA: (1026) implies:
% 291.07/57.42 | (1027) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1488_0
% 291.07/57.42 | (1028) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1488_2) =
% 291.07/57.42 | all_1488_1
% 291.07/57.42 | (1029) c_Int_OBit0(all_1488_3) = all_1488_2
% 291.07/57.42 | (1030) c_Int_OBit1(c_Int_OPls) = all_1488_3
% 291.07/57.42 | (1031) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1488_4
% 291.07/57.42 |
% 291.07/57.42 | DELTA: instantiating (273) with fresh symbols all_1491_0, all_1491_1 gives:
% 291.07/57.42 | (1032) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1491_1 &
% 291.07/57.42 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1491_0 &
% 291.07/57.42 | $i(all_1491_0) & $i(all_1491_1) & ! [v0: $i] : ! [v1: $i] : !
% 291.07/57.42 | [v2: $i] : ! [v3: $i] : ( ~ (hAPP(v2, v0) = v3) | ~
% 291.07/57.42 | (hAPP(all_1491_0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 291.07/57.42 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1491_1, v3) |
% 291.07/57.42 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1491_1, v1)) & !
% 291.07/57.42 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (hAPP(v2,
% 291.07/57.42 | v0) = v3) | ~ (hAPP(all_1491_0, v1) = v2) | ~ $i(v1) | ~
% 291.07/57.42 | $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1491_1,
% 291.07/57.42 | v3) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1491_1,
% 291.07/57.42 | v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (
% 291.07/57.42 | ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_1491_0, v1) = v2) | ~ $i(v1)
% 291.07/57.42 | | ~ $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 291.07/57.42 | all_1491_1, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 291.07/57.42 | all_1491_1, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 291.07/57.42 | all_1491_1, v3))
% 291.07/57.42 |
% 291.07/57.42 | ALPHA: (1032) implies:
% 291.07/57.42 | (1033) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1491_1
% 291.07/57.42 |
% 291.07/57.42 | DELTA: instantiating (252) with fresh symbols all_1494_0, all_1494_1,
% 291.07/57.42 | all_1494_2, all_1494_3, all_1494_4 gives:
% 291.07/57.42 | (1034) c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1494_4 &
% 291.07/57.42 | c_Int_OBit1(c_Int_OPls) = all_1494_3 & c_Int_OBit0(all_1494_3) =
% 291.07/57.42 | all_1494_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 291.07/57.42 | all_1494_2) = all_1494_1 & hAPP(all_1494_4, all_1494_1) =
% 291.07/57.42 | all_1494_0 & $i(all_1494_0) & $i(all_1494_1) & $i(all_1494_2) &
% 291.07/57.42 | $i(all_1494_3) & $i(all_1494_4) & ! [v0: $i] : ! [v1: $i] : !
% 291.07/57.42 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] :
% 291.07/57.42 | ! [v7: $i] : ( ~ (c_Nat_OSuc(v5) = v6) | ~
% 291.07/57.42 | (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v6) = v7) |
% 291.07/57.42 | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_1494_0, v0) = v5) | ~
% 291.07/57.42 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 291.07/57.42 | class_Rings_Olinordered__idom(v2) | ? [v8: $i] :
% 291.07/57.42 | (c_Groups_Ozero__class_Ozero(v2) = v8 & $i(v8) & ( ~
% 291.07/57.42 | c_Orderings_Oord__class_Oless(v2, v1, v8) |
% 291.07/57.42 | c_Orderings_Oord__class_Oless(v2, v7, v8))))
% 291.07/57.42 |
% 291.07/57.42 | ALPHA: (1034) implies:
% 291.07/57.42 | (1035) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1494_2) =
% 291.07/57.42 | all_1494_1
% 291.07/57.42 | (1036) c_Int_OBit0(all_1494_3) = all_1494_2
% 291.07/57.42 | (1037) c_Int_OBit1(c_Int_OPls) = all_1494_3
% 291.07/57.42 |
% 291.07/57.42 | DELTA: instantiating (128) with fresh symbols all_1497_0, all_1497_1,
% 291.07/57.42 | all_1497_2, all_1497_3, all_1497_4 gives:
% 291.07/57.42 | (1038) c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1497_4 &
% 291.07/57.42 | c_Int_OBit1(c_Int_OPls) = all_1497_3 & c_Int_OBit0(all_1497_3) =
% 291.07/57.42 | all_1497_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 291.07/57.42 | all_1497_2) = all_1497_1 & hAPP(all_1497_4, all_1497_1) =
% 291.07/57.42 | all_1497_0 & $i(all_1497_0) & $i(all_1497_1) & $i(all_1497_2) &
% 291.07/57.42 | $i(all_1497_3) & $i(all_1497_4) & ! [v0: $i] : ! [v1: $i] : !
% 291.07/57.42 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] :
% 291.07/57.42 | ! [v7: $i] : ( ~ (c_Nat_OSuc(v5) = v6) | ~
% 291.07/57.42 | (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v6) = v7) |
% 291.07/57.42 | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_1497_0, v0) = v5) | ~
% 291.07/57.42 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 291.07/57.42 | class_Rings_Olinordered__idom(v2) | ? [v8: $i] :
% 291.07/57.42 | (c_Groups_Ozero__class_Ozero(v2) = v8 & $i(v8) & ( ~
% 291.07/57.42 | c_Orderings_Oord__class_Oless__eq(v2, v8, v7) |
% 291.07/57.42 | c_Orderings_Oord__class_Oless__eq(v2, v8, v1))))
% 291.07/57.42 |
% 291.07/57.42 | ALPHA: (1038) implies:
% 291.07/57.42 | (1039) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1497_2) =
% 291.07/57.42 | all_1497_1
% 291.07/57.42 | (1040) c_Int_OBit0(all_1497_3) = all_1497_2
% 291.07/57.42 | (1041) c_Int_OBit1(c_Int_OPls) = all_1497_3
% 291.07/57.42 |
% 291.07/57.42 | DELTA: instantiating (173) with fresh symbols all_1500_0, all_1500_1 gives:
% 291.07/57.42 | (1042) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1500_1 &
% 291.07/57.42 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1500_0 & $i(all_1500_0)
% 291.07/57.42 | & $i(all_1500_1) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 291.07/57.42 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 291.07/57.42 | [v8: $i] : ! [v9: $i] : ( ~
% 291.07/57.42 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, all_1500_0) = v7)
% 291.07/57.42 | | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~
% 291.07/57.42 | (c_Groups_Otimes__class_Otimes(v2) = v5) | ~ (hAPP(v6, v8) = v9)
% 291.07/57.42 | | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v7) = v8) | ~ (hAPP(v3,
% 291.07/57.42 | v0) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 291.07/57.42 | class_Power_Opower(v2) | ? [v10: $i] : ? [v11: $i] : (( ~ (v1 =
% 291.07/57.42 | all_1500_1) | (v11 = v10 & c_Groups_Oone__class_Oone(v2) =
% 291.07/57.42 | v10 & hAPP(v4, all_1500_1) = v10 & $i(v10))) & (v1 =
% 291.07/57.42 | all_1500_1 | (v10 = v9 & hAPP(v4, v1) = v9 & $i(v9)))))
% 291.07/57.42 |
% 291.07/57.42 | ALPHA: (1042) implies:
% 291.07/57.42 | (1043) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1500_0
% 291.07/57.42 |
% 291.07/57.42 | DELTA: instantiating (231) with fresh symbols all_1503_0, all_1503_1 gives:
% 291.07/57.42 | (1044) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1503_1 &
% 291.07/57.42 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1503_0 &
% 291.07/57.42 | $i(all_1503_0) & $i(all_1503_1) & ! [v0: $i] : ! [v1: $i] : !
% 291.07/57.42 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (
% 291.07/57.42 | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v2) = v4) | ~
% 291.07/57.42 | (hAPP(all_1503_0, v1) = v3) | ~ (hAPP(all_1503_0, v0) = v5) | ~
% 291.07/57.42 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 291.07/57.42 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1503_1, v2) |
% 291.07/57.42 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v6) |
% 291.07/57.42 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0)) & !
% 291.07/57.42 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 291.07/57.42 | ! [v5: $i] : ! [v6: $i] : ( ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v3,
% 291.07/57.42 | v2) = v4) | ~ (hAPP(all_1503_0, v1) = v3) | ~
% 291.07/57.42 | (hAPP(all_1503_0, v0) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 291.07/57.42 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1503_1, v2)
% 291.07/57.42 | | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) |
% 291.07/57.42 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v6))
% 291.07/57.42 |
% 291.07/57.42 | ALPHA: (1044) implies:
% 291.07/57.42 | (1045) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1503_0
% 291.07/57.42 | (1046) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1503_1
% 291.07/57.42 |
% 291.07/57.42 | DELTA: instantiating (117) with fresh symbols all_1506_0, all_1506_1 gives:
% 291.07/57.42 | (1047) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1506_0 &
% 291.07/57.42 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1506_1 &
% 291.07/57.42 | $i(all_1506_0) & $i(all_1506_1) & ! [v0: $i] : ! [v1: any] : !
% 291.07/57.42 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v1 =
% 291.07/57.42 | all_1506_0 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3,
% 291.07/57.42 | v5) = all_1506_0) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v1)
% 291.07/57.42 | = v3) | ~ (hAPP(all_1506_1, v1) = v2) | ~ (hAPP(all_1506_1,
% 291.07/57.42 | v0) = v4) | ~ $i(v1) | ~ $i(v0)) & ! [v0: any] : ! [v1:
% 291.07/57.42 | $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v0
% 291.07/57.42 | = all_1506_0 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,
% 291.07/57.42 | v3, v5) = all_1506_0) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2,
% 291.07/57.42 | v1) = v3) | ~ (hAPP(all_1506_1, v1) = v2) | ~
% 291.07/57.42 | (hAPP(all_1506_1, v0) = v4) | ~ $i(v1) | ~ $i(v0)) & ! [v0: $i]
% 291.07/57.42 | : ! [v1: $i] : ! [v2: int] : (v2 = all_1506_0 | ~
% 291.07/57.42 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v1) = v2) | ~
% 291.07/57.42 | (hAPP(v0, all_1506_0) = v1) | ~ (hAPP(all_1506_1, all_1506_0) =
% 291.07/57.42 | v0))
% 291.07/57.42 |
% 291.07/57.42 | ALPHA: (1047) implies:
% 291.07/57.42 | (1048) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1506_1
% 291.07/57.42 | (1049) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1506_0
% 291.07/57.42 |
% 291.07/57.42 | DELTA: instantiating (248) with fresh symbols all_1509_0, all_1509_1,
% 291.07/57.42 | all_1509_2 gives:
% 291.07/57.42 | (1050) c_Int_OBit1(c_Int_OPls) = all_1509_2 & c_Int_OBit0(all_1509_2) =
% 291.07/57.42 | all_1509_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 291.07/57.42 | all_1509_1) = all_1509_0 & $i(all_1509_0) & $i(all_1509_1) &
% 291.07/57.42 | $i(all_1509_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 291.07/57.42 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 291.07/57.42 | [v8: $i] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v5, v7) = v8) | ~
% 291.07/57.42 | (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v6, all_1509_0)
% 291.07/57.42 | = v7) | ~ (hAPP(v4, all_1509_0) = v5) | ~ (hAPP(v3, v1) = v4)
% 291.07/57.42 | | ~ (hAPP(v3, v0) = v6) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 291.07/57.42 | class_Rings_Olinordered__idom(v2) | ? [v9: $i] :
% 291.07/57.42 | (c_Groups_Ozero__class_Ozero(v2) = v9 & $i(v9) & ( ~ (v9 = v0) |
% 291.07/57.42 | ~ (v1 = v0) | ~ c_Orderings_Oord__class_Oless(v2, v0, v8)) &
% 291.07/57.42 | (c_Orderings_Oord__class_Oless(v2, v9, v8) | (v9 = v0 & v1 =
% 291.07/57.42 | v0))))
% 291.07/57.42 |
% 291.07/57.42 | ALPHA: (1050) implies:
% 291.07/57.42 | (1051) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1509_1) =
% 291.07/57.42 | all_1509_0
% 291.07/57.42 | (1052) c_Int_OBit0(all_1509_2) = all_1509_1
% 291.07/57.42 | (1053) c_Int_OBit1(c_Int_OPls) = all_1509_2
% 291.07/57.42 |
% 291.07/57.42 | DELTA: instantiating (170) with fresh symbol all_1512_0 gives:
% 291.07/57.42 | (1054) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1512_0 &
% 291.07/57.42 | $i(all_1512_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: any] : ! [v3:
% 291.07/57.42 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v6 = v4 | v2 =
% 291.07/57.42 | all_1512_0 | ~ (c_Groups_Ozero__class_Ozero(v1) = v4) | ~
% 291.07/57.42 | (c_Power_Opower__class_Opower(v1) = v3) | ~
% 291.07/57.42 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v2) | ~
% 291.07/57.42 | (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v4) = v5) | ~ $i(v1) | ~
% 291.07/57.42 | $i(v0) | ~ class_Rings_Osemiring__0(v1) | ~
% 291.07/57.42 | class_Power_Opower(v1)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 291.07/57.42 | : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 291.07/57.42 | (c_Groups_Ozero__class_Ozero(v1) = v3) | ~
% 291.07/57.42 | (c_Power_Opower__class_Opower(v1) = v2) | ~
% 291.07/57.42 | (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = all_1512_0) |
% 291.07/57.42 | ~ (hAPP(v4, all_1512_0) = v5) | ~ (hAPP(v2, v3) = v4) | ~
% 291.07/57.42 | $i(v1) | ~ $i(v0) | ~ class_Rings_Osemiring__0(v1) | ~
% 291.07/57.42 | class_Power_Opower(v1) | (c_Groups_Oone__class_Oone(v1) = v5 &
% 291.07/57.42 | $i(v5)))
% 291.07/57.42 |
% 291.07/57.42 | ALPHA: (1054) implies:
% 291.07/57.42 | (1055) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1512_0
% 291.07/57.42 |
% 291.07/57.42 | DELTA: instantiating (141) with fresh symbols all_1515_0, all_1515_1,
% 291.07/57.42 | all_1515_2 gives:
% 291.07/57.43 | (1056) c_Int_OBit1(c_Int_OPls) = all_1515_2 & c_Int_OBit0(all_1515_2) =
% 291.07/57.43 | all_1515_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 291.07/57.43 | all_1515_1) = all_1515_0 & $i(all_1515_0) & $i(all_1515_1) &
% 291.07/57.43 | $i(all_1515_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 291.07/57.43 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 291.07/57.43 | [v8: $i] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v5, v7) = v8) | ~
% 291.07/57.43 | (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v6, all_1515_0)
% 291.07/57.43 | = v7) | ~ (hAPP(v4, all_1515_0) = v5) | ~ (hAPP(v3, v1) = v4)
% 291.07/57.43 | | ~ (hAPP(v3, v0) = v6) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 291.07/57.43 | class_Rings_Olinordered__idom(v2) | ? [v9: $i] :
% 291.07/57.43 | (c_Groups_Ozero__class_Ozero(v2) = v9 & $i(v9) & ( ~ (v9 = v8) |
% 291.07/57.43 | (v8 = v0 & v1 = v0)) & ( ~ (v9 = v0) | ~ (v1 = v0) | v8 =
% 291.07/57.43 | v0)))
% 291.07/57.43 |
% 291.07/57.43 | ALPHA: (1056) implies:
% 291.07/57.43 | (1057) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1515_1) =
% 291.07/57.43 | all_1515_0
% 291.07/57.43 | (1058) c_Int_OBit0(all_1515_2) = all_1515_1
% 291.07/57.43 | (1059) c_Int_OBit1(c_Int_OPls) = all_1515_2
% 291.07/57.43 |
% 291.07/57.43 | DELTA: instantiating (123) with fresh symbols all_1518_0, all_1518_1,
% 291.07/57.43 | all_1518_2, all_1518_3, all_1518_4 gives:
% 291.07/57.43 | (1060) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1518_0 &
% 291.07/57.43 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1518_4 &
% 291.07/57.43 | c_Int_OBit1(c_Int_OPls) = all_1518_3 & c_Int_OBit0(all_1518_3) =
% 291.07/57.43 | all_1518_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 291.07/57.43 | all_1518_2) = all_1518_1 & $i(all_1518_0) & $i(all_1518_1) &
% 291.07/57.43 | $i(all_1518_2) & $i(all_1518_3) & $i(all_1518_4) & ! [v0: $i] : !
% 291.07/57.43 | [v1: $i] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ $i(v0) | ~
% 291.07/57.43 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1518_0,
% 291.07/57.43 | v0) | ? [v2: $i] : (hAPP(v2, all_1518_1) = v0 &
% 291.07/57.43 | hAPP(all_1518_4, v1) = v2 & $i(v2))) & ! [v0: $i] : ! [v1: $i]
% 291.07/57.43 | : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ $i(v0) |
% 291.07/57.43 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1518_0,
% 291.07/57.43 | v0) | ? [v2: $i] : ? [v3: $i] : ( ~ (v3 = v0) & hAPP(v2,
% 291.07/57.43 | all_1518_1) = v3 & hAPP(all_1518_4, v1) = v2 & $i(v3) &
% 291.07/57.43 | $i(v2)))
% 291.07/57.43 |
% 291.07/57.43 | ALPHA: (1060) implies:
% 291.07/57.43 | (1061) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1518_2) =
% 291.07/57.43 | all_1518_1
% 291.07/57.43 | (1062) c_Int_OBit0(all_1518_3) = all_1518_2
% 291.07/57.43 | (1063) c_Int_OBit1(c_Int_OPls) = all_1518_3
% 291.07/57.43 | (1064) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1518_4
% 291.07/57.43 | (1065) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1518_0
% 291.07/57.43 |
% 291.07/57.43 | DELTA: instantiating (149) with fresh symbols all_1521_0, all_1521_1,
% 291.07/57.43 | all_1521_2 gives:
% 291.07/57.43 | (1066) c_Int_OBit1(c_Int_OPls) = all_1521_2 & c_Int_OBit0(all_1521_2) =
% 291.07/57.43 | all_1521_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 291.07/57.43 | all_1521_1) = all_1521_0 & $i(all_1521_0) & $i(all_1521_1) &
% 291.07/57.43 | $i(all_1521_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 291.07/57.43 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 291.07/57.43 | [v8: $i] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v5, v7) = v8) | ~
% 291.07/57.43 | (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v6, all_1521_0)
% 291.07/57.43 | = v7) | ~ (hAPP(v4, all_1521_0) = v5) | ~ (hAPP(v3, v1) = v4)
% 291.07/57.43 | | ~ (hAPP(v3, v0) = v6) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 291.07/57.43 | class_Rings_Olinordered__idom(v2) | ? [v9: $i] :
% 291.07/57.43 | (c_Groups_Ozero__class_Ozero(v2) = v9 & $i(v9) & ( ~ (v9 = v0) |
% 291.07/57.43 | ~ (v1 = v0) | c_Orderings_Oord__class_Oless__eq(v2, v8, v0)) &
% 291.07/57.43 | ( ~ c_Orderings_Oord__class_Oless__eq(v2, v8, v9) | (v9 = v0 &
% 291.07/57.43 | v1 = v0))))
% 291.07/57.43 |
% 291.07/57.43 | ALPHA: (1066) implies:
% 291.07/57.43 | (1067) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1521_1) =
% 291.07/57.43 | all_1521_0
% 291.07/57.43 | (1068) c_Int_OBit0(all_1521_2) = all_1521_1
% 291.07/57.43 | (1069) c_Int_OBit1(c_Int_OPls) = all_1521_2
% 291.07/57.43 |
% 291.07/57.43 | DELTA: instantiating (24) with fresh symbols all_1524_0, all_1524_1,
% 291.07/57.43 | all_1524_2, all_1524_3, all_1524_4 gives:
% 291.07/57.43 | (1070) c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1524_4 &
% 291.07/57.43 | c_Int_OBit1(c_Int_OPls) = all_1524_3 & c_Int_OBit0(all_1524_3) =
% 291.07/57.43 | all_1524_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 291.07/57.43 | all_1524_2) = all_1524_1 & hAPP(all_1524_4, all_1524_1) =
% 291.07/57.43 | all_1524_0 & $i(all_1524_0) & $i(all_1524_1) & $i(all_1524_2) &
% 291.07/57.43 | $i(all_1524_3) & $i(all_1524_4) & ! [v0: $i] : ! [v1: $i] : !
% 291.07/57.43 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (
% 291.07/57.43 | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v5) = v6)
% 291.07/57.43 | | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_1524_0, v0) = v5) | ~
% 291.07/57.43 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~ class_Groups_Omonoid__mult(v2)
% 291.07/57.43 | | ? [v7: $i] : ? [v8: $i] : (hAPP(v8, all_1524_1) = v6 &
% 291.07/57.43 | hAPP(v4, v0) = v7 & hAPP(v3, v7) = v8 & $i(v8) & $i(v7) &
% 291.07/57.43 | $i(v6)))
% 291.07/57.43 |
% 291.07/57.43 | ALPHA: (1070) implies:
% 291.07/57.43 | (1071) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1524_2) =
% 291.07/57.43 | all_1524_1
% 291.07/57.43 | (1072) c_Int_OBit0(all_1524_3) = all_1524_2
% 291.07/57.43 | (1073) c_Int_OBit1(c_Int_OPls) = all_1524_3
% 291.07/57.43 |
% 291.07/57.43 | DELTA: instantiating (221) with fresh symbols all_1527_0, all_1527_1 gives:
% 291.07/57.43 | (1074) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1527_1 &
% 291.07/57.43 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1527_0 &
% 291.07/57.43 | $i(all_1527_0) & $i(all_1527_1) & ! [v0: $i] : ! [v1: $i] : !
% 291.07/57.43 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (
% 291.07/57.43 | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v2) = v4) | ~
% 291.07/57.43 | (hAPP(all_1527_0, v1) = v3) | ~ (hAPP(all_1527_0, v0) = v5) | ~
% 291.07/57.43 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 291.07/57.43 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v6) | ~
% 291.07/57.43 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1527_1, v2) |
% 291.07/57.43 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0)) & ! [v0:
% 291.07/57.43 | $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 291.07/57.43 | [v5: $i] : ! [v6: $i] : ( ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v2)
% 291.07/57.43 | = v4) | ~ (hAPP(all_1527_0, v1) = v3) | ~ (hAPP(all_1527_0,
% 291.07/57.43 | v0) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 291.07/57.43 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) | ~
% 291.07/57.43 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1527_1, v2) |
% 291.07/57.43 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v6))
% 291.07/57.43 |
% 291.07/57.43 | ALPHA: (1074) implies:
% 291.07/57.43 | (1075) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1527_0
% 291.07/57.43 | (1076) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1527_1
% 291.07/57.43 |
% 291.07/57.43 | DELTA: instantiating (235) with fresh symbols all_1536_0, all_1536_1 gives:
% 291.07/57.43 | (1077) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1536_0 &
% 291.07/57.43 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1536_1 &
% 291.07/57.43 | $i(all_1536_0) & $i(all_1536_1) & ! [v0: $i] : ! [v1: $i] : !
% 291.07/57.43 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (
% 291.07/57.43 | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v5) = v6)
% 291.07/57.43 | | ~ (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1536_1,
% 291.07/57.43 | v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,
% 291.07/57.43 | v1, v0) = v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_1536_0,
% 291.07/57.43 | v1) = v3) | ~ $i(v1) | ~ $i(v0) | ? [v7: $i] : ? [v8: $i]
% 291.07/57.43 | : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ((v12
% 291.07/57.43 | = v11 & c_Transcendental_Oarctan(v6) = v11 &
% 291.07/57.43 | c_Transcendental_Oarctan(v1) = v9 &
% 291.07/57.43 | c_Transcendental_Oarctan(v0) = v10 &
% 291.07/57.43 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v9, v10) = v11 &
% 291.07/57.43 | $i(v11) & $i(v10) & $i(v9)) |
% 291.07/57.43 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1) = v7 & $i(v7) &
% 291.07/57.43 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v7,
% 291.07/57.43 | all_1536_1)) | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,
% 291.07/57.43 | v0) = v8 & $i(v8) & ~
% 291.07/57.43 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8,
% 291.07/57.43 | all_1536_1))))
% 291.07/57.43 |
% 291.07/57.43 | ALPHA: (1077) implies:
% 291.07/57.43 | (1078) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1536_1
% 291.07/57.43 | (1079) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1536_0
% 291.07/57.43 |
% 291.07/57.43 | DELTA: instantiating (138) with fresh symbols all_1542_0, all_1542_1,
% 291.07/57.43 | all_1542_2 gives:
% 291.07/57.43 | (1080) c_Int_OBit1(c_Int_OPls) = all_1542_2 & c_Int_OBit0(all_1542_2) =
% 291.07/57.43 | all_1542_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 291.07/57.43 | all_1542_1) = all_1542_0 & $i(all_1542_0) & $i(all_1542_1) &
% 291.07/57.43 | $i(all_1542_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 291.07/57.43 | $i] : ! [v4: $i] : ! [v5: $i] : (v1 = v0 | ~
% 291.07/57.43 | (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v3, v1) = v4) |
% 291.07/57.43 | ~ (hAPP(v3, v0) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 291.07/57.43 | class_Rings_Olinordered__semidom(v2) | ? [v6: $i] : ? [v7: $i] :
% 291.07/57.43 | ? [v8: $i] : (( ~ (v7 = v6) & hAPP(v5, all_1542_0) = v7 &
% 291.07/57.43 | hAPP(v4, all_1542_0) = v6 & $i(v7) & $i(v6)) |
% 291.07/57.43 | (c_Groups_Ozero__class_Ozero(v2) = v8 & $i(v8) & ~
% 291.07/57.43 | c_Orderings_Oord__class_Oless__eq(v2, v8, v1)) |
% 291.07/57.43 | (c_Groups_Ozero__class_Ozero(v2) = v8 & $i(v8) & ~
% 291.07/57.43 | c_Orderings_Oord__class_Oless__eq(v2, v8, v0))))
% 291.07/57.43 |
% 291.07/57.43 | ALPHA: (1080) implies:
% 291.07/57.43 | (1081) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1542_1) =
% 291.07/57.43 | all_1542_0
% 291.07/57.43 | (1082) c_Int_OBit0(all_1542_2) = all_1542_1
% 291.07/57.43 | (1083) c_Int_OBit1(c_Int_OPls) = all_1542_2
% 291.07/57.43 |
% 291.07/57.43 | DELTA: instantiating (195) with fresh symbols all_1545_0, all_1545_1,
% 291.07/57.43 | all_1545_2 gives:
% 291.07/57.43 | (1084) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1545_2 &
% 291.07/57.43 | c_Nat_OSuc(all_1545_2) = all_1545_1 &
% 291.07/57.43 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1545_0 &
% 291.07/57.43 | $i(all_1545_0) & $i(all_1545_1) & $i(all_1545_2) & ! [v0: $i] : !
% 291.07/57.43 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (hAPP(v2, v0) = v3) | ~
% 291.07/57.43 | (hAPP(all_1545_0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 291.07/57.43 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_1545_1, v3) |
% 291.07/57.43 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_1545_1, v1)) &
% 291.07/57.43 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (hAPP(v2,
% 291.07/57.43 | v0) = v3) | ~ (hAPP(all_1545_0, v1) = v2) | ~ $i(v1) | ~
% 291.07/57.43 | $i(v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,
% 291.07/57.43 | all_1545_1, v3) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,
% 291.07/57.43 | all_1545_1, v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 291.07/57.43 | [v3: $i] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_1545_0, v1) = v2)
% 291.07/57.43 | | ~ $i(v1) | ~ $i(v0) | ~
% 291.07/57.43 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_1545_1, v1) |
% 291.07/57.43 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_1545_1, v0) |
% 291.07/57.43 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_1545_1, v3))
% 291.07/57.43 |
% 291.07/57.43 | ALPHA: (1084) implies:
% 291.07/57.43 | (1085) c_Nat_OSuc(all_1545_2) = all_1545_1
% 291.07/57.43 | (1086) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1545_2
% 291.07/57.43 |
% 291.07/57.43 | DELTA: instantiating (112) with fresh symbols all_1548_0, all_1548_1 gives:
% 291.07/57.43 | (1087) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1548_1 &
% 291.07/57.43 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1548_0 &
% 291.07/57.43 | $i(all_1548_0) & $i(all_1548_1) & ! [v0: $i] : ! [v1: $i] : !
% 291.07/57.43 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] :
% 291.07/57.43 | ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i]
% 291.07/57.43 | : ! [v12: $i] : ( ~
% 291.07/57.43 | (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v5, v7) = v8) |
% 291.07/57.43 | ~ (c_Complex_Ocomplex_OComplex(v8, v11) = v12) | ~
% 291.07/57.43 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v9, v10) = v11) |
% 291.07/57.43 | ~ (hAPP(v6, v1) = v10) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v1)
% 291.07/57.43 | = v5) | ~ (hAPP(v4, v0) = v9) | ~ (hAPP(all_1548_0, v3) = v4)
% 291.07/57.43 | | ~ (hAPP(all_1548_0, v2) = v6) | ~ $i(v3) | ~ $i(v2) | ~
% 291.07/57.43 | $i(v1) | ~ $i(v0) | ? [v13: $i] : ? [v14: $i] : ? [v15: $i] :
% 291.07/57.43 | (c_Complex_Ocomplex_OComplex(v3, v2) = v13 &
% 291.07/57.43 | c_Complex_Ocomplex_OComplex(v1, v0) = v15 & hAPP(v14, v15) = v12
% 291.07/57.43 | & hAPP(all_1548_1, v13) = v14 & $i(v15) & $i(v14) & $i(v13) &
% 291.07/57.43 | $i(v12)))
% 291.07/57.43 |
% 291.07/57.43 | ALPHA: (1087) implies:
% 291.07/57.43 | (1088) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1548_0
% 291.07/57.43 |
% 291.07/57.43 | DELTA: instantiating (85) with fresh symbols all_1551_0, all_1551_1,
% 291.07/57.43 | all_1551_2 gives:
% 291.07/57.43 | (1089) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1551_2 &
% 291.07/57.43 | c_Nat_OSuc(all_1551_1) = all_1551_0 & c_Nat_OSuc(all_1551_2) =
% 291.07/57.43 | all_1551_1 & $i(all_1551_0) & $i(all_1551_1) & $i(all_1551_2) & !
% 291.07/57.43 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 291.07/57.43 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~
% 291.07/57.43 | (c_Groups_Ominus__class_Ominus(v2, v5, v7) = v8) | ~
% 291.07/57.43 | (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v6, all_1551_0)
% 291.07/57.43 | = v7) | ~ (hAPP(v4, all_1551_0) = v5) | ~ (hAPP(v3, v1) = v4)
% 291.07/57.43 | | ~ (hAPP(v3, v0) = v6) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 291.07/57.43 | class_Rings_Ocomm__ring__1(v2) | ? [v9: $i] : ? [v10: $i] : ?
% 291.07/57.43 | [v11: $i] : ? [v12: $i] : (c_Groups_Ominus__class_Ominus(v2, v1,
% 291.07/57.43 | v0) = v10 & c_Groups_Oplus__class_Oplus(v2, v1, v0) = v12 &
% 291.07/57.43 | c_Groups_Otimes__class_Otimes(v2) = v9 & hAPP(v11, v12) = v8 &
% 291.07/57.43 | hAPP(v9, v10) = v11 & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 291.07/57.43 | $i(v8)))
% 291.07/57.43 |
% 291.07/57.43 | ALPHA: (1089) implies:
% 291.07/57.43 | (1090) c_Nat_OSuc(all_1551_2) = all_1551_1
% 291.07/57.43 | (1091) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1551_2
% 291.07/57.43 |
% 291.07/57.43 | DELTA: instantiating (13) with fresh symbols all_1554_0, all_1554_1,
% 291.07/57.43 | all_1554_2, all_1554_3, all_1554_4 gives:
% 291.07/57.43 | (1092) c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1554_4 &
% 291.07/57.43 | c_Int_OBit1(c_Int_OPls) = all_1554_3 & c_Int_OBit0(all_1554_3) =
% 291.07/57.43 | all_1554_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 291.07/57.43 | all_1554_2) = all_1554_1 & hAPP(all_1554_4, all_1554_1) =
% 291.07/57.43 | all_1554_0 & $i(all_1554_0) & $i(all_1554_1) & $i(all_1554_2) &
% 291.07/57.43 | $i(all_1554_3) & $i(all_1554_4) & ! [v0: $i] : ! [v1: $i] : !
% 291.07/57.43 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (
% 291.07/57.43 | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v5) = v6)
% 291.07/57.43 | | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_1554_0, v0) = v5) | ~
% 291.07/57.43 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 291.07/57.43 | class_Rings_Ocomm__semiring__1(v2) | ? [v7: $i] : ? [v8: $i] :
% 291.07/57.43 | ? [v9: $i] : (c_Groups_Otimes__class_Otimes(v2) = v7 & hAPP(v9,
% 291.07/57.43 | v8) = v6 & hAPP(v7, v8) = v9 & hAPP(v4, v0) = v8 & $i(v9) &
% 291.07/57.43 | $i(v8) & $i(v7) & $i(v6)))
% 291.07/57.43 |
% 291.07/57.43 | ALPHA: (1092) implies:
% 291.07/57.43 | (1093) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1554_2) =
% 291.07/57.43 | all_1554_1
% 291.07/57.43 | (1094) c_Int_OBit0(all_1554_3) = all_1554_2
% 291.07/57.43 | (1095) c_Int_OBit1(c_Int_OPls) = all_1554_3
% 291.07/57.43 |
% 291.07/57.43 | DELTA: instantiating (210) with fresh symbols all_1557_0, all_1557_1,
% 291.07/57.43 | all_1557_2, all_1557_3, all_1557_4, all_1557_5, all_1557_6, all_1557_7
% 291.07/57.43 | gives:
% 291.07/57.43 | (1096) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1557_1 &
% 291.07/57.43 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1557_7 &
% 291.07/57.43 | c_Int_OBit1(c_Int_OPls) = all_1557_6 & c_Int_OBit0(all_1557_6) =
% 291.07/57.43 | all_1557_5 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 291.07/57.43 | all_1557_5) = all_1557_0 &
% 291.07/57.43 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1557_5) =
% 291.07/57.43 | all_1557_4 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) =
% 291.07/57.43 | all_1557_2 & hAPP(all_1557_7, all_1557_4) = all_1557_3 &
% 291.07/57.43 | $i(all_1557_0) & $i(all_1557_1) & $i(all_1557_2) & $i(all_1557_3) &
% 291.07/57.43 | $i(all_1557_4) & $i(all_1557_5) & $i(all_1557_6) & $i(all_1557_7) &
% 291.07/57.43 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 291.07/57.43 | ! [v5: $i] : ! [v6: $i] : ( ~
% 291.07/57.43 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v0, v5) = v6) |
% 291.07/57.43 | ~ (c_NthRoot_Osqrt(v3) = v4) | ~
% 291.07/57.43 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1557_2, v4) =
% 291.07/57.43 | v5) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,
% 291.07/57.43 | all_1557_2, v2) = v3) | ~ (hAPP(v1, all_1557_0) = v2) | ~
% 291.07/57.43 | (hAPP(all_1557_1, v0) = v1) | ~ $i(v0) | ? [v7: $i] : ? [v8:
% 291.07/57.43 | $i] : (c_Transcendental_Oarctan(v6) = v8 &
% 291.07/57.43 | c_Transcendental_Oarctan(v0) = v7 & hAPP(all_1557_3, v8) = v7 &
% 291.07/57.43 | $i(v8) & $i(v7)))
% 291.07/57.43 |
% 291.07/57.43 | ALPHA: (1096) implies:
% 291.07/57.43 | (1097) hAPP(all_1557_7, all_1557_4) = all_1557_3
% 291.07/57.43 | (1098) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1557_2
% 291.07/57.43 | (1099) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1557_5) =
% 291.07/57.43 | all_1557_4
% 291.07/57.43 | (1100) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1557_5) =
% 291.07/57.43 | all_1557_0
% 291.07/57.43 | (1101) c_Int_OBit0(all_1557_6) = all_1557_5
% 291.07/57.43 | (1102) c_Int_OBit1(c_Int_OPls) = all_1557_6
% 291.07/57.43 | (1103) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1557_7
% 291.07/57.43 | (1104) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1557_1
% 291.07/57.43 |
% 291.07/57.43 | DELTA: instantiating (189) with fresh symbols all_1560_0, all_1560_1 gives:
% 291.07/57.43 | (1105) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1560_1 &
% 291.07/57.43 | c_Nat_OSuc(all_1560_1) = all_1560_0 & $i(all_1560_0) &
% 291.07/57.43 | $i(all_1560_1) & ! [v0: $i] : ! [v1: any] : (v1 = all_1560_0 | v1
% 291.07/57.43 | = all_1560_1 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1,
% 291.07/57.43 | v0) = all_1560_0) | ~ $i(v1) | ~ $i(v0)) & ! [v0: any] : !
% 291.07/57.43 | [v1: any] : (v1 = all_1560_0 | v0 = all_1560_0 | ~
% 291.07/57.43 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_1560_0) |
% 291.07/57.43 | ~ $i(v1) | ~ $i(v0)) & ! [v0: any] : ! [v1: any] : (v1 =
% 291.07/57.43 | all_1560_1 | v0 = all_1560_1 | ~
% 291.07/57.43 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_1560_0) |
% 291.07/57.43 | ~ $i(v1) | ~ $i(v0)) & ! [v0: any] : ! [v1: $i] : (v0 =
% 291.07/57.43 | all_1560_0 | v0 = all_1560_1 | ~
% 291.07/57.43 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_1560_0) |
% 291.07/57.43 | ~ $i(v1) | ~ $i(v0)) & ! [v0: int] : (v0 = all_1560_0 | ~
% 291.07/57.43 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_1560_0, all_1560_1)
% 291.07/57.43 | = v0)) & ! [v0: int] : (v0 = all_1560_0 | ~
% 291.07/57.43 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_1560_1, all_1560_0)
% 291.07/57.43 | = v0))
% 291.07/57.43 |
% 291.07/57.43 | ALPHA: (1105) implies:
% 291.07/57.43 | (1106) c_Nat_OSuc(all_1560_1) = all_1560_0
% 291.07/57.43 | (1107) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1560_1
% 291.07/57.43 |
% 291.07/57.43 | DELTA: instantiating (148) with fresh symbols all_1563_0, all_1563_1,
% 291.07/57.43 | all_1563_2, all_1563_3, all_1563_4 gives:
% 291.07/57.44 | (1108) c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1563_4 &
% 291.07/57.44 | c_Int_OBit1(c_Int_OPls) = all_1563_3 & c_Int_OBit0(all_1563_3) =
% 291.07/57.44 | all_1563_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 291.07/57.44 | all_1563_2) = all_1563_1 & hAPP(all_1563_4, all_1563_1) =
% 291.07/57.44 | all_1563_0 & $i(all_1563_0) & $i(all_1563_1) & $i(all_1563_2) &
% 291.07/57.44 | $i(all_1563_3) & $i(all_1563_4) & ! [v0: $i] : ! [v1: $i] : !
% 291.07/57.44 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] :
% 291.07/57.44 | ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ( ~
% 291.07/57.44 | (c_Power_Opower__class_Opower(v2) = v3) | ~
% 291.07/57.44 | (c_Groups_Otimes__class_Otimes(v2) = v5) | ~ (hAPP(v8,
% 291.07/57.44 | all_1563_1) = v9) | ~ (hAPP(v6, v9) = v10) | ~ (hAPP(v5, v1)
% 291.07/57.44 | = v6) | ~ (hAPP(v4, v0) = v7) | ~ (hAPP(v3, v7) = v8) | ~
% 291.07/57.44 | (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 291.07/57.44 | class_Groups_Omonoid__mult(v2) | ? [v11: $i] : ? [v12: $i] :
% 291.07/57.44 | (c_Nat_OSuc(v11) = v12 & hAPP(v4, v12) = v10 & hAPP(all_1563_0,
% 291.07/57.44 | v0) = v11 & $i(v12) & $i(v11) & $i(v10)))
% 291.07/57.44 |
% 291.07/57.44 | ALPHA: (1108) implies:
% 291.07/57.44 | (1109) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1563_2) =
% 291.07/57.44 | all_1563_1
% 291.07/57.44 | (1110) c_Int_OBit0(all_1563_3) = all_1563_2
% 291.07/57.44 | (1111) c_Int_OBit1(c_Int_OPls) = all_1563_3
% 291.07/57.44 |
% 291.07/57.44 | DELTA: instantiating (209) with fresh symbols all_1566_0, all_1566_1,
% 291.07/57.44 | all_1566_2, all_1566_3, all_1566_4 gives:
% 291.07/57.44 | (1112) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1566_4 &
% 291.07/57.44 | c_Int_OBit1(c_Int_OPls) = all_1566_3 & c_Int_OBit0(all_1566_3) =
% 291.07/57.44 | all_1566_2 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 291.07/57.44 | all_1566_2) = all_1566_1 & hAPP(all_1566_4, all_1566_1) =
% 291.07/57.44 | all_1566_0 & $i(all_1566_0) & $i(all_1566_1) & $i(all_1566_2) &
% 291.07/57.44 | $i(all_1566_3) & $i(all_1566_4) & ! [v0: $i] : ! [v1: $i] : !
% 291.07/57.44 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 = v2 | ~
% 291.07/57.44 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v4) = v5) |
% 291.07/57.44 | ~ (hAPP(all_1566_0, v2) = v3) | ~ (hAPP(all_1566_0, v0) = v4) |
% 291.07/57.44 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: $i] : ( ~ (v6 = v3) &
% 291.07/57.44 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v0) = v6 &
% 291.07/57.44 | $i(v6))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i]
% 291.07/57.44 | : ! [v4: $i] : ( ~
% 291.07/57.44 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v3) = v2) |
% 291.07/57.44 | ~ (hAPP(all_1566_0, v2) = v4) | ~ (hAPP(all_1566_0, v0) = v3) |
% 291.07/57.44 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 291.07/57.44 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v0) = v4 &
% 291.07/57.44 | $i(v4)))
% 291.07/57.44 |
% 291.07/57.44 | ALPHA: (1112) implies:
% 291.07/57.44 | (1113) hAPP(all_1566_4, all_1566_1) = all_1566_0
% 291.07/57.44 | (1114) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1566_2) =
% 291.07/57.44 | all_1566_1
% 291.07/57.44 | (1115) c_Int_OBit0(all_1566_3) = all_1566_2
% 291.07/57.44 | (1116) c_Int_OBit1(c_Int_OPls) = all_1566_3
% 291.07/57.44 | (1117) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1566_4
% 291.07/57.44 |
% 291.07/57.44 | DELTA: instantiating (189) with fresh symbols all_1569_0, all_1569_1 gives:
% 291.07/57.44 | (1118) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1569_1 &
% 291.07/57.44 | c_Nat_OSuc(all_1569_1) = all_1569_0 & $i(all_1569_0) &
% 291.07/57.44 | $i(all_1569_1) & ! [v0: $i] : ! [v1: any] : (v1 = all_1569_0 | v1
% 291.07/57.44 | = all_1569_1 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1,
% 291.07/57.44 | v0) = all_1569_0) | ~ $i(v1) | ~ $i(v0)) & ! [v0: any] : !
% 291.07/57.44 | [v1: any] : (v1 = all_1569_0 | v0 = all_1569_0 | ~
% 291.07/57.44 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_1569_0) |
% 291.07/57.44 | ~ $i(v1) | ~ $i(v0)) & ! [v0: any] : ! [v1: any] : (v1 =
% 291.07/57.44 | all_1569_1 | v0 = all_1569_1 | ~
% 291.07/57.44 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_1569_0) |
% 291.07/57.44 | ~ $i(v1) | ~ $i(v0)) & ! [v0: any] : ! [v1: $i] : (v0 =
% 291.07/57.44 | all_1569_0 | v0 = all_1569_1 | ~
% 291.07/57.44 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_1569_0) |
% 291.07/57.44 | ~ $i(v1) | ~ $i(v0)) & ! [v0: int] : (v0 = all_1569_0 | ~
% 291.07/57.44 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_1569_0, all_1569_1)
% 291.07/57.44 | = v0)) & ! [v0: int] : (v0 = all_1569_0 | ~
% 291.07/57.44 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_1569_1, all_1569_0)
% 291.07/57.44 | = v0))
% 291.07/57.44 |
% 291.07/57.44 | ALPHA: (1118) implies:
% 291.07/57.44 | (1119) c_Nat_OSuc(all_1569_1) = all_1569_0
% 291.07/57.44 | (1120) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1569_1
% 291.07/57.44 |
% 291.07/57.44 | DELTA: instantiating (274) with fresh symbols all_1572_0, all_1572_1 gives:
% 291.07/57.44 | (1121) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1572_0 &
% 291.07/57.44 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1572_1 &
% 291.07/57.44 | $i(all_1572_0) & $i(all_1572_1) & ! [v0: $i] : ! [v1: $i] : !
% 291.07/57.44 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v3,
% 291.07/57.44 | v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_1572_1, v2)
% 291.07/57.44 | = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 291.07/57.44 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5) |
% 291.07/57.44 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0)) & ! [v0: $i]
% 291.07/57.44 | : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 291.07/57.44 | $i] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~
% 291.07/57.44 | (hAPP(all_1572_1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 291.07/57.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5) |
% 291.07/57.44 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1572_0, v2)) & !
% 291.07/57.44 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 291.07/57.44 | ! [v5: $i] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~
% 291.07/57.44 | (hAPP(all_1572_1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 291.07/57.44 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | ~
% 291.07/57.44 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1572_0, v2) |
% 291.07/57.44 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5))
% 291.07/57.44 |
% 291.07/57.44 | ALPHA: (1121) implies:
% 291.07/57.44 | (1122) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1572_0
% 291.07/57.44 |
% 291.07/57.44 | DELTA: instantiating (48) with fresh symbols all_1575_0, all_1575_1,
% 291.07/57.44 | all_1575_2 gives:
% 291.07/57.44 | (1123) c_Int_OBit1(c_Int_OPls) = all_1575_2 & c_Int_OBit0(all_1575_2) =
% 291.07/57.44 | all_1575_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 291.07/57.44 | all_1575_1) = all_1575_0 & $i(all_1575_0) & $i(all_1575_1) &
% 291.07/57.44 | $i(all_1575_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 291.07/57.44 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 291.07/57.44 | [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ! [v12: $i]
% 291.07/57.44 | : ! [v13: $i] : ! [v14: $i] : ! [v15: $i] : ( ~
% 291.07/57.44 | (c_Groups_Oplus__class_Oplus(v2, v8, v14) = v15) | ~
% 291.07/57.44 | (c_Groups_Oplus__class_Oplus(v2, v5, v7) = v8) | ~
% 291.07/57.44 | (c_Power_Opower__class_Opower(v2) = v3) | ~
% 291.07/57.44 | (c_Groups_Otimes__class_Otimes(v2) = v9) | ~
% 291.07/57.44 | (c_Int_Onumber__class_Onumber__of(v2, all_1575_1) = v10) | ~
% 291.07/57.44 | (hAPP(v13, v0) = v14) | ~ (hAPP(v11, v1) = v12) | ~ (hAPP(v9,
% 291.07/57.44 | v12) = v13) | ~ (hAPP(v9, v10) = v11) | ~ (hAPP(v6,
% 291.07/57.44 | all_1575_0) = v7) | ~ (hAPP(v4, all_1575_0) = v5) | ~
% 291.07/57.44 | (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v6) | ~ $i(v2) | ~
% 291.07/57.44 | $i(v1) | ~ $i(v0) | ~ class_Int_Onumber__ring(v2) | ? [v16: $i]
% 291.07/57.44 | : ? [v17: $i] : (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v16 &
% 291.07/57.44 | hAPP(v17, all_1575_0) = v15 & hAPP(v3, v16) = v17 & $i(v17) &
% 291.07/57.44 | $i(v16) & $i(v15)))
% 291.07/57.44 |
% 291.07/57.44 | ALPHA: (1123) implies:
% 291.07/57.44 | (1124) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1575_1) =
% 291.07/57.44 | all_1575_0
% 291.07/57.44 | (1125) c_Int_OBit0(all_1575_2) = all_1575_1
% 291.07/57.44 | (1126) c_Int_OBit1(c_Int_OPls) = all_1575_2
% 291.07/57.44 |
% 291.07/57.44 | DELTA: instantiating (211) with fresh symbols all_1578_0, all_1578_1,
% 291.07/57.44 | all_1578_2, all_1578_3, all_1578_4, all_1578_5 gives:
% 291.07/57.44 | (1127) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1578_5 &
% 291.07/57.44 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1578_1 &
% 291.07/57.44 | c_Int_OBit1(c_Int_OPls) = all_1578_4 & c_Int_OBit0(all_1578_4) =
% 291.07/57.44 | all_1578_3 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 291.07/57.44 | all_1578_3) = all_1578_0 &
% 291.07/57.44 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1578_3) =
% 291.07/57.44 | all_1578_2 & $i(all_1578_0) & $i(all_1578_1) & $i(all_1578_2) &
% 291.07/57.44 | $i(all_1578_3) & $i(all_1578_4) & $i(all_1578_5) & ! [v0: $i] : !
% 291.07/57.44 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] :
% 291.07/57.44 | ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~
% 291.07/57.44 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, all_1578_2)
% 291.07/57.44 | = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5,
% 291.07/57.44 | v7) = v8) | ~ (hAPP(v6, all_1578_0) = v7) | ~ (hAPP(v4,
% 291.07/57.44 | all_1578_0) = v5) | ~ (hAPP(all_1578_1, v1) = v4) | ~
% 291.07/57.44 | (hAPP(all_1578_1, v0) = v6) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 291.07/57.44 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v3) | ~
% 291.07/57.44 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) | ~
% 291.07/57.44 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1578_5, v2) |
% 291.07/57.44 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1578_5,
% 291.07/57.44 | v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.07/57.44 | all_1578_5, v0) | ? [v9: $i] : (c_NthRoot_Osqrt(v8) = v9 &
% 291.07/57.44 | $i(v9) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9,
% 291.07/57.44 | v2)))
% 291.07/57.44 |
% 291.07/57.44 | ALPHA: (1127) implies:
% 291.07/57.44 | (1128) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1578_3) =
% 291.07/57.44 | all_1578_2
% 291.07/57.44 | (1129) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1578_3) =
% 291.07/57.44 | all_1578_0
% 291.07/57.44 | (1130) c_Int_OBit0(all_1578_4) = all_1578_3
% 291.07/57.44 | (1131) c_Int_OBit1(c_Int_OPls) = all_1578_4
% 291.07/57.44 | (1132) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1578_1
% 291.07/57.44 | (1133) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1578_5
% 291.07/57.44 |
% 291.07/57.44 | DELTA: instantiating (301) with fresh symbols all_1581_0, all_1581_1,
% 291.07/57.44 | all_1581_2, all_1581_3, all_1581_4, all_1581_5, all_1581_6, all_1581_7,
% 291.07/57.44 | all_1581_8, all_1581_9, all_1581_10, all_1581_11, all_1581_12,
% 291.07/57.44 | all_1581_13 gives:
% 291.07/57.44 | (1134) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1581_13 &
% 291.07/57.44 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1581_12 &
% 291.07/57.44 | c_Int_OBit1(c_Int_OPls) = all_1581_11 & c_Int_OBit0(all_1581_11) =
% 291.07/57.44 | all_1581_10 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 291.07/57.44 | all_1581_10) = all_1581_4 &
% 291.07/57.44 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1581_10) =
% 291.07/57.44 | all_1581_9 & c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1581_7)
% 291.07/57.44 | = all_1581_6 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) =
% 291.07/57.44 | all_1581_2 & hAPP(all_1581_1, all_1581_4) = all_1581_0 &
% 291.07/57.44 | hAPP(all_1581_5, all_1581_4) = all_1581_3 & hAPP(all_1581_8,
% 291.07/57.44 | v_x____) = all_1581_7 & hAPP(all_1581_12, all_1581_9) = all_1581_8
% 291.07/57.44 | & hAPP(all_1581_13, all_1581_2) = all_1581_1 & hAPP(all_1581_13,
% 291.07/57.44 | all_1581_6) = all_1581_5 & $i(all_1581_0) & $i(all_1581_1) &
% 291.07/57.44 | $i(all_1581_2) & $i(all_1581_3) & $i(all_1581_4) & $i(all_1581_5) &
% 291.07/57.44 | $i(all_1581_6) & $i(all_1581_7) & $i(all_1581_8) & $i(all_1581_9) &
% 291.07/57.44 | $i(all_1581_10) & $i(all_1581_11) & $i(all_1581_12) &
% 291.07/57.44 | $i(all_1581_13) & ~
% 291.07/57.44 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1581_3,
% 291.07/57.44 | all_1581_0)
% 291.07/57.44 |
% 291.07/57.44 | ALPHA: (1134) implies:
% 291.07/57.44 | (1135) ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1581_3,
% 291.07/57.44 | all_1581_0)
% 291.07/57.44 | (1136) $i(all_1581_6)
% 291.07/57.44 | (1137) hAPP(all_1581_13, all_1581_6) = all_1581_5
% 291.07/57.44 | (1138) hAPP(all_1581_13, all_1581_2) = all_1581_1
% 291.07/57.44 | (1139) hAPP(all_1581_12, all_1581_9) = all_1581_8
% 291.07/57.44 | (1140) hAPP(all_1581_8, v_x____) = all_1581_7
% 291.07/57.44 | (1141) hAPP(all_1581_5, all_1581_4) = all_1581_3
% 291.07/57.44 | (1142) hAPP(all_1581_1, all_1581_4) = all_1581_0
% 291.07/57.44 | (1143) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1581_2
% 291.07/57.44 | (1144) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1581_7) = all_1581_6
% 291.07/57.44 | (1145) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1581_10) =
% 291.07/57.44 | all_1581_9
% 291.07/57.44 | (1146) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1581_10) =
% 291.07/57.44 | all_1581_4
% 291.07/57.44 | (1147) c_Int_OBit0(all_1581_11) = all_1581_10
% 291.07/57.44 | (1148) c_Int_OBit1(c_Int_OPls) = all_1581_11
% 291.07/57.44 | (1149) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1581_12
% 291.07/57.44 | (1150) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1581_13
% 291.07/57.44 |
% 291.07/57.44 | DELTA: instantiating (52) with fresh symbols all_1583_0, all_1583_1,
% 291.07/57.44 | all_1583_2 gives:
% 291.07/57.44 | (1151) c_Int_OBit1(c_Int_OPls) = all_1583_2 & c_Int_OBit0(all_1583_2) =
% 291.07/57.44 | all_1583_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 291.07/57.44 | all_1583_1) = all_1583_0 & $i(all_1583_0) & $i(all_1583_1) &
% 291.07/57.44 | $i(all_1583_2) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 291.07/57.44 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 291.07/57.44 | [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ! [v12: $i]
% 291.07/57.44 | : ! [v13: $i] : ! [v14: $i] : ! [v15: $i] : ( ~
% 291.07/57.44 | (c_Groups_Ominus__class_Ominus(v2, v8, v14) = v15) | ~
% 291.07/57.44 | (c_Groups_Oplus__class_Oplus(v2, v5, v7) = v8) | ~
% 291.07/57.44 | (c_Power_Opower__class_Opower(v2) = v3) | ~
% 291.07/57.44 | (c_Groups_Otimes__class_Otimes(v2) = v9) | ~
% 291.07/57.44 | (c_Int_Onumber__class_Onumber__of(v2, all_1583_1) = v10) | ~
% 291.07/57.44 | (hAPP(v13, v0) = v14) | ~ (hAPP(v11, v1) = v12) | ~ (hAPP(v9,
% 291.07/57.44 | v12) = v13) | ~ (hAPP(v9, v10) = v11) | ~ (hAPP(v6,
% 291.07/57.44 | all_1583_0) = v7) | ~ (hAPP(v4, all_1583_0) = v5) | ~
% 291.07/57.44 | (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v6) | ~ $i(v2) | ~
% 291.07/57.44 | $i(v1) | ~ $i(v0) | ~ class_Int_Onumber__ring(v2) | ? [v16: $i]
% 291.07/57.44 | : ? [v17: $i] : (c_Groups_Ominus__class_Ominus(v2, v1, v0) = v16
% 291.07/57.44 | & hAPP(v17, all_1583_0) = v15 & hAPP(v3, v16) = v17 & $i(v17) &
% 291.07/57.44 | $i(v16) & $i(v15)))
% 291.07/57.44 |
% 291.07/57.44 | ALPHA: (1151) implies:
% 291.07/57.44 | (1152) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1583_1) =
% 291.07/57.44 | all_1583_0
% 291.07/57.44 | (1153) c_Int_OBit0(all_1583_2) = all_1583_1
% 291.07/57.44 | (1154) c_Int_OBit1(c_Int_OPls) = all_1583_2
% 291.07/57.44 |
% 291.07/57.44 | DELTA: instantiating (212) with fresh symbols all_1586_0, all_1586_1,
% 291.07/57.44 | all_1586_2, all_1586_3, all_1586_4, all_1586_5 gives:
% 291.07/57.44 | (1155) c_NthRoot_Osqrt(all_1586_3) = all_1586_2 &
% 291.07/57.44 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1586_1 &
% 291.07/57.44 | c_Int_OBit1(c_Int_OPls) = all_1586_5 & c_Int_OBit0(all_1586_5) =
% 291.07/57.44 | all_1586_4 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 291.07/57.44 | all_1586_4) = all_1586_0 &
% 291.07/57.44 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1586_4) =
% 291.07/57.44 | all_1586_3 & $i(all_1586_0) & $i(all_1586_1) & $i(all_1586_2) &
% 291.07/57.44 | $i(all_1586_3) & $i(all_1586_4) & $i(all_1586_5) & ! [v0: $i] : !
% 291.07/57.44 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] :
% 291.07/57.44 | ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~
% 291.07/57.44 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, all_1586_2)
% 291.07/57.44 | = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5,
% 291.07/57.44 | v7) = v8) | ~ (hAPP(v6, all_1586_0) = v7) | ~ (hAPP(v4,
% 291.07/57.44 | all_1586_0) = v5) | ~ (hAPP(all_1586_1, v2) = v4) | ~
% 291.07/57.44 | (hAPP(all_1586_1, v0) = v6) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 291.07/57.44 | ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ((c_NthRoot_Osqrt(v8) =
% 291.07/57.44 | v11 & $i(v11) &
% 291.07/57.44 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11, v1)) |
% 291.07/57.44 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v2) = v9 & $i(v9) &
% 291.07/57.44 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9, v3)) |
% 291.07/57.44 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v0) = v10 & $i(v10)
% 291.07/57.44 | & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10,
% 291.07/57.44 | v3))))
% 291.07/57.44 |
% 291.07/57.44 | ALPHA: (1155) implies:
% 291.07/57.44 | (1156) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1586_4) =
% 291.07/57.44 | all_1586_3
% 291.07/57.44 | (1157) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1586_4) =
% 291.07/57.44 | all_1586_0
% 291.07/57.44 | (1158) c_Int_OBit0(all_1586_5) = all_1586_4
% 291.07/57.44 | (1159) c_Int_OBit1(c_Int_OPls) = all_1586_5
% 291.07/57.44 | (1160) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1586_1
% 291.07/57.44 |
% 291.07/57.44 | DELTA: instantiating (146) with fresh symbols all_1589_0, all_1589_1,
% 291.07/57.44 | all_1589_2, all_1589_3, all_1589_4 gives:
% 291.26/57.44 | (1161) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1589_0 &
% 291.26/57.44 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1589_4 &
% 291.26/57.44 | c_Int_OBit1(c_Int_OPls) = all_1589_3 & c_Int_OBit0(all_1589_3) =
% 291.26/57.44 | all_1589_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 291.26/57.44 | all_1589_2) = all_1589_1 & $i(all_1589_0) & $i(all_1589_1) &
% 291.26/57.44 | $i(all_1589_2) & $i(all_1589_3) & $i(all_1589_4) & ! [v0: $i] : !
% 291.26/57.44 | [v1: any] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] :
% 291.26/57.44 | (v1 = all_1589_0 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,
% 291.26/57.44 | v3, v5) = all_1589_0) | ~ (hAPP(v4, all_1589_1) = v5) | ~
% 291.26/57.44 | (hAPP(v2, all_1589_1) = v3) | ~ (hAPP(all_1589_4, v1) = v2) | ~
% 291.26/57.44 | (hAPP(all_1589_4, v0) = v4) | ~ $i(v1) | ~ $i(v0)) & ! [v0:
% 291.26/57.44 | any] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 291.26/57.44 | [v5: $i] : (v0 = all_1589_0 | ~
% 291.26/57.44 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) =
% 291.26/57.44 | all_1589_0) | ~ (hAPP(v4, all_1589_1) = v5) | ~ (hAPP(v2,
% 291.26/57.44 | all_1589_1) = v3) | ~ (hAPP(all_1589_4, v1) = v2) | ~
% 291.26/57.44 | (hAPP(all_1589_4, v0) = v4) | ~ $i(v1) | ~ $i(v0)) & ! [v0: $i]
% 291.26/57.44 | : ! [v1: $i] : ! [v2: int] : (v2 = all_1589_0 | ~
% 291.26/57.44 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v1) = v2) | ~
% 291.26/57.44 | (hAPP(v0, all_1589_1) = v1) | ~ (hAPP(all_1589_4, all_1589_0) =
% 291.26/57.44 | v0))
% 291.26/57.44 |
% 291.26/57.44 | ALPHA: (1161) implies:
% 291.26/57.44 | (1162) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1589_2) =
% 291.26/57.44 | all_1589_1
% 291.26/57.44 | (1163) c_Int_OBit0(all_1589_3) = all_1589_2
% 291.26/57.44 | (1164) c_Int_OBit1(c_Int_OPls) = all_1589_3
% 291.26/57.44 | (1165) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1589_4
% 291.26/57.44 | (1166) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1589_0
% 291.26/57.44 |
% 291.26/57.44 | DELTA: instantiating (129) with fresh symbols all_1592_0, all_1592_1,
% 291.26/57.44 | all_1592_2, all_1592_3, all_1592_4, all_1592_5 gives:
% 291.26/57.44 | (1167) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1592_5 &
% 291.26/57.44 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1592_3 &
% 291.26/57.44 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1592_4 &
% 291.26/57.44 | c_Int_OBit1(c_Int_OPls) = all_1592_2 & c_Int_OBit0(all_1592_2) =
% 291.26/57.44 | all_1592_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 291.26/57.44 | all_1592_1) = all_1592_0 & $i(all_1592_0) & $i(all_1592_1) &
% 291.26/57.44 | $i(all_1592_2) & $i(all_1592_3) & $i(all_1592_4) & $i(all_1592_5) &
% 291.26/57.44 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 291.26/57.44 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i]
% 291.26/57.44 | : ! [v10: $i] : ! [v11: $i] : ! [v12: $i] : ! [v13: $i] : !
% 291.26/57.44 | [v14: $i] : ! [v15: $i] : ( ~
% 291.26/57.44 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v11, v13) = v14) |
% 291.26/57.44 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v7) = v8) |
% 291.26/57.44 | ~ (hAPP(v12, all_1592_0) = v13) | ~ (hAPP(v10, all_1592_0) = v11)
% 291.26/57.44 | | ~ (hAPP(v9, v14) = v15) | ~ (hAPP(v6, all_1592_0) = v7) | ~
% 291.26/57.44 | (hAPP(v4, all_1592_0) = v5) | ~ (hAPP(all_1592_3, v3) = v4) | ~
% 291.26/57.44 | (hAPP(all_1592_3, v2) = v6) | ~ (hAPP(all_1592_3, v1) = v10) | ~
% 291.26/57.44 | (hAPP(all_1592_3, v0) = v12) | ~ (hAPP(all_1592_4, v8) = v9) | ~
% 291.26/57.44 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v16: $i] :
% 291.26/57.44 | (c_NthRoot_Osqrt(v15) = v16 & $i(v16) &
% 291.26/57.44 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1592_5,
% 291.26/57.44 | v16)))
% 291.26/57.44 |
% 291.26/57.44 | ALPHA: (1167) implies:
% 291.26/57.44 | (1168) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1592_1) =
% 291.26/57.44 | all_1592_0
% 291.26/57.44 | (1169) c_Int_OBit0(all_1592_2) = all_1592_1
% 291.26/57.44 | (1170) c_Int_OBit1(c_Int_OPls) = all_1592_2
% 291.26/57.44 | (1171) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1592_4
% 291.26/57.44 | (1172) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1592_3
% 291.26/57.44 | (1173) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1592_5
% 291.26/57.44 |
% 291.26/57.44 | DELTA: instantiating (147) with fresh symbols all_1595_0, all_1595_1,
% 291.26/57.44 | all_1595_2, all_1595_3, all_1595_4 gives:
% 291.27/57.44 | (1174) c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1595_4 &
% 291.27/57.44 | c_Int_OBit1(c_Int_OPls) = all_1595_3 & c_Int_OBit0(all_1595_3) =
% 291.27/57.44 | all_1595_2 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 291.27/57.44 | all_1595_2) = all_1595_1 & hAPP(all_1595_4, all_1595_1) =
% 291.27/57.44 | all_1595_0 & $i(all_1595_0) & $i(all_1595_1) & $i(all_1595_2) &
% 291.27/57.44 | $i(all_1595_3) & $i(all_1595_4) & ! [v0: $i] : ! [v1: $i] : !
% 291.27/57.44 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] :
% 291.27/57.44 | ! [v7: $i] : ( ~ (c_Nat_OSuc(v5) = v6) | ~
% 291.27/57.44 | (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v6) = v7) |
% 291.27/57.44 | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_1595_0, v0) = v5) | ~
% 291.27/57.44 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 291.27/57.44 | class_Rings_Ocomm__semiring__1(v2) | ? [v8: $i] : ? [v9: $i] :
% 291.27/57.44 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] :
% 291.27/57.44 | (c_Groups_Otimes__class_Otimes(v2) = v8 & hAPP(v11, v10) = v12 &
% 291.27/57.44 | hAPP(v9, v12) = v7 & hAPP(v8, v10) = v11 & hAPP(v8, v1) = v9 &
% 291.27/57.44 | hAPP(v4, v0) = v10 & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 291.27/57.44 | $i(v8) & $i(v7)))
% 291.27/57.44 |
% 291.27/57.44 | ALPHA: (1174) implies:
% 291.27/57.44 | (1175) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1595_2) =
% 291.27/57.44 | all_1595_1
% 291.27/57.44 | (1176) c_Int_OBit0(all_1595_3) = all_1595_2
% 291.27/57.44 | (1177) c_Int_OBit1(c_Int_OPls) = all_1595_3
% 291.27/57.44 |
% 291.27/57.44 | DELTA: instantiating (6) with fresh symbols all_1601_0, all_1601_1,
% 291.27/57.44 | all_1601_2, all_1601_3, all_1601_4, all_1601_5, all_1601_6, all_1601_7,
% 291.27/57.44 | all_1601_8, all_1601_9 gives:
% 291.27/57.45 | (1178) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1601_3 &
% 291.27/57.45 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1601_9 &
% 291.27/57.45 | c_Int_OBit1(c_Int_OPls) = all_1601_8 & c_Int_OBit0(all_1601_7) =
% 291.27/57.45 | all_1601_6 & c_Int_OBit0(all_1601_8) = all_1601_7 &
% 291.27/57.45 | c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1601_7) =
% 291.27/57.45 | all_1601_2 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 291.27/57.45 | all_1601_6) = all_1601_5 &
% 291.27/57.45 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1601_7) =
% 291.27/57.45 | all_1601_1 & hAPP(all_1601_9, all_1601_1) = all_1601_0 &
% 291.27/57.45 | hAPP(all_1601_9, all_1601_5) = all_1601_4 & $i(all_1601_0) &
% 291.27/57.45 | $i(all_1601_1) & $i(all_1601_2) & $i(all_1601_3) & $i(all_1601_4) &
% 291.27/57.45 | $i(all_1601_5) & $i(all_1601_6) & $i(all_1601_7) & $i(all_1601_8) &
% 291.27/57.45 | $i(all_1601_9) & ! [v0: $i] : ! [v1: $i] : ( ~ (hAPP(all_1601_0,
% 291.27/57.45 | v0) = v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: $i] : ? [v4:
% 291.27/57.45 | $i] : ? [v5: $i] : (hAPP(v5, all_1601_2) = v4 & hAPP(v2,
% 291.27/57.45 | all_1601_2) = v3 & hAPP(all_1601_3, v1) = v5 &
% 291.27/57.45 | hAPP(all_1601_3, v0) = v2 & hAPP(all_1601_4, v3) = v4 & $i(v5) &
% 291.27/57.45 | $i(v4) & $i(v3) & $i(v2)))
% 291.27/57.45 |
% 291.27/57.45 | ALPHA: (1178) implies:
% 291.27/57.45 | (1179) hAPP(all_1601_9, all_1601_5) = all_1601_4
% 291.27/57.45 | (1180) hAPP(all_1601_9, all_1601_1) = all_1601_0
% 291.27/57.45 | (1181) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1601_7) =
% 291.27/57.45 | all_1601_1
% 291.27/57.45 | (1182) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1601_6) =
% 291.27/57.45 | all_1601_5
% 291.27/57.45 | (1183) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1601_7) =
% 291.27/57.45 | all_1601_2
% 291.27/57.45 | (1184) c_Int_OBit0(all_1601_8) = all_1601_7
% 291.27/57.45 | (1185) c_Int_OBit0(all_1601_7) = all_1601_6
% 291.27/57.45 | (1186) c_Int_OBit1(c_Int_OPls) = all_1601_8
% 291.27/57.45 | (1187) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1601_9
% 291.27/57.45 | (1188) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1601_3
% 291.27/57.45 |
% 291.27/57.45 | DELTA: instantiating (50) with fresh symbols all_1604_0, all_1604_1,
% 291.27/57.45 | all_1604_2, all_1604_3, all_1604_4, all_1604_5, all_1604_6 gives:
% 291.27/57.45 | (1189) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1604_6 &
% 291.27/57.45 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1604_2 &
% 291.27/57.45 | c_Int_OBit1(c_Int_OPls) = all_1604_5 & c_Int_OBit0(all_1604_5) =
% 291.27/57.45 | all_1604_4 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 291.27/57.45 | all_1604_4) = all_1604_3 &
% 291.27/57.45 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1604_4) =
% 291.27/57.45 | all_1604_1 & hAPP(all_1604_2, all_1604_1) = all_1604_0 &
% 291.27/57.45 | $i(all_1604_0) & $i(all_1604_1) & $i(all_1604_2) & $i(all_1604_3) &
% 291.27/57.45 | $i(all_1604_4) & $i(all_1604_5) & $i(all_1604_6) & ! [v0: $i] : !
% 291.27/57.45 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] :
% 291.27/57.45 | ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i]
% 291.27/57.45 | : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v6, v9) = v10)
% 291.27/57.45 | | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) = v6)
% 291.27/57.45 | | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v4, all_1604_3) = v5) | ~
% 291.27/57.45 | (hAPP(v2, all_1604_3) = v3) | ~ (hAPP(all_1604_0, v1) = v7) | ~
% 291.27/57.45 | (hAPP(all_1604_2, v7) = v8) | ~ (hAPP(all_1604_6, v1) = v2) | ~
% 291.27/57.45 | (hAPP(all_1604_6, v0) = v4) | ~ $i(v1) | ~ $i(v0) | ? [v11: $i]
% 291.27/57.45 | : ? [v12: $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,
% 291.27/57.45 | v1, v0) = v11 & hAPP(v12, all_1604_3) = v10 & hAPP(all_1604_6,
% 291.27/57.45 | v11) = v12 & $i(v12) & $i(v11) & $i(v10)))
% 291.27/57.45 |
% 291.27/57.45 | ALPHA: (1189) implies:
% 291.27/57.45 | (1190) hAPP(all_1604_2, all_1604_1) = all_1604_0
% 291.27/57.45 | (1191) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1604_4) =
% 291.27/57.45 | all_1604_1
% 291.27/57.45 | (1192) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1604_4) =
% 291.27/57.45 | all_1604_3
% 291.27/57.45 | (1193) c_Int_OBit0(all_1604_5) = all_1604_4
% 291.27/57.45 | (1194) c_Int_OBit1(c_Int_OPls) = all_1604_5
% 291.27/57.45 | (1195) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1604_2
% 291.27/57.45 | (1196) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1604_6
% 291.27/57.45 |
% 291.27/57.45 | DELTA: instantiating (275) with fresh symbols all_1616_0, all_1616_1 gives:
% 291.27/57.45 | (1197) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1616_0 &
% 291.27/57.45 | c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1616_1 &
% 291.27/57.45 | $i(all_1616_0) & $i(all_1616_1) & ! [v0: $i] : ! [v1: $i] : !
% 291.27/57.45 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (
% 291.27/57.45 | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v1) = v4) | ~
% 291.27/57.45 | (hAPP(all_1616_1, v2) = v3) | ~ (hAPP(all_1616_1, v0) = v5) | ~
% 291.27/57.45 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 291.27/57.45 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v6) |
% 291.27/57.45 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v0)) & ! [v0: $i]
% 291.27/57.45 | : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 291.27/57.45 | $i] : ! [v6: $i] : ( ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v1) =
% 291.27/57.45 | v4) | ~ (hAPP(all_1616_1, v2) = v3) | ~ (hAPP(all_1616_1, v0)
% 291.27/57.45 | = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 291.27/57.45 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v6) |
% 291.27/57.45 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1616_0, v1)) & !
% 291.27/57.45 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 291.27/57.45 | ! [v5: $i] : ! [v6: $i] : ( ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v3,
% 291.27/57.45 | v1) = v4) | ~ (hAPP(all_1616_1, v2) = v3) | ~
% 291.27/57.45 | (hAPP(all_1616_1, v0) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 291.27/57.45 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v0) | ~
% 291.27/57.45 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1616_0, v1) |
% 291.27/57.45 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v6))
% 291.27/57.45 |
% 291.27/57.45 | ALPHA: (1197) implies:
% 291.27/57.45 | (1198) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1616_0
% 291.27/57.45 |
% 291.27/57.45 | DELTA: instantiating (145) with fresh symbols all_1619_0, all_1619_1,
% 291.27/57.45 | all_1619_2, all_1619_3, all_1619_4 gives:
% 291.27/57.45 | (1199) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1619_4 &
% 291.27/57.45 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1619_3 &
% 291.27/57.45 | c_Int_OBit1(c_Int_OPls) = all_1619_2 & c_Int_OBit0(all_1619_2) =
% 291.27/57.45 | all_1619_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 291.27/57.45 | all_1619_1) = all_1619_0 & $i(all_1619_0) & $i(all_1619_1) &
% 291.27/57.45 | $i(all_1619_2) & $i(all_1619_3) & $i(all_1619_4) & ! [v0: $i] : !
% 291.27/57.45 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] :
% 291.27/57.45 | ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i]
% 291.27/57.45 | : ! [v11: $i] : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : !
% 291.27/57.45 | [v15: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v11,
% 291.27/57.45 | v13) = v14) | ~
% 291.27/57.45 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v7) = v8) | ~
% 291.27/57.45 | (hAPP(v12, all_1619_0) = v13) | ~ (hAPP(v10, all_1619_0) = v11) |
% 291.27/57.45 | ~ (hAPP(v9, v14) = v15) | ~ (hAPP(v6, all_1619_0) = v7) | ~
% 291.27/57.45 | (hAPP(v4, all_1619_0) = v5) | ~ (hAPP(all_1619_3, v8) = v9) | ~
% 291.27/57.45 | (hAPP(all_1619_4, v3) = v4) | ~ (hAPP(all_1619_4, v2) = v6) | ~
% 291.27/57.45 | (hAPP(all_1619_4, v1) = v10) | ~ (hAPP(all_1619_4, v0) = v12) |
% 291.27/57.45 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v16: $i] : ?
% 291.27/57.45 | [v17: $i] : (c_NthRoot_Osqrt(v15) = v16 & hAPP(v17, all_1619_0) =
% 291.27/57.45 | v15 & hAPP(all_1619_4, v16) = v17 & $i(v17) & $i(v16) &
% 291.27/57.45 | $i(v15)))
% 291.27/57.45 |
% 291.27/57.45 | ALPHA: (1199) implies:
% 291.27/57.45 | (1200) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1619_1) =
% 291.27/57.45 | all_1619_0
% 291.27/57.45 | (1201) c_Int_OBit0(all_1619_2) = all_1619_1
% 291.27/57.45 | (1202) c_Int_OBit1(c_Int_OPls) = all_1619_2
% 291.27/57.45 | (1203) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1619_3
% 291.27/57.45 | (1204) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1619_4
% 291.27/57.45 |
% 291.27/57.45 | DELTA: instantiating (47) with fresh symbols all_1622_0, all_1622_1,
% 291.27/57.45 | all_1622_2 gives:
% 291.27/57.45 | (1205) c_Groups_Otimes__class_Otimes(tc_Int_Oint) = all_1622_2 &
% 291.27/57.45 | c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OMin) =
% 291.27/57.45 | all_1622_0 & c_Groups_Oone__class_Oone(tc_Int_Oint) = all_1622_1 &
% 291.27/57.45 | $i(all_1622_0) & $i(all_1622_1) & $i(all_1622_2) & ! [v0: $i] : !
% 291.27/57.45 | [v1: any] : ! [v2: $i] : (v1 = all_1622_0 | v1 = all_1622_1 | ~
% 291.27/57.45 | (hAPP(v2, v0) = all_1622_1) | ~ (hAPP(all_1622_2, v1) = v2) | ~
% 291.27/57.45 | $i(v1) | ~ $i(v0)) & ! [v0: any] : ! [v1: any] : ! [v2: $i] :
% 291.27/57.45 | (v1 = all_1622_0 | v0 = all_1622_1 | ~ (hAPP(v2, v0) = all_1622_1)
% 291.27/57.45 | | ~ (hAPP(all_1622_2, v1) = v2) | ~ $i(v1) | ~ $i(v0)) & !
% 291.27/57.45 | [v0: any] : ! [v1: any] : ! [v2: $i] : (v1 = all_1622_1 | v0 =
% 291.27/57.45 | all_1622_0 | ~ (hAPP(v2, v0) = all_1622_1) | ~ (hAPP(all_1622_2,
% 291.27/57.45 | v1) = v2) | ~ $i(v1) | ~ $i(v0)) & ! [v0: any] : ! [v1:
% 291.27/57.45 | $i] : ! [v2: $i] : (v0 = all_1622_0 | v0 = all_1622_1 | ~
% 291.27/57.45 | (hAPP(v2, v0) = all_1622_1) | ~ (hAPP(all_1622_2, v1) = v2) | ~
% 291.27/57.45 | $i(v1) | ~ $i(v0)) & ! [v0: $i] : ! [v1: int] : (v1 =
% 291.27/57.45 | all_1622_1 | ~ (hAPP(v0, all_1622_0) = v1) | ~ (hAPP(all_1622_2,
% 291.27/57.45 | all_1622_0) = v0)) & ! [v0: $i] : ! [v1: int] : (v1 =
% 291.27/57.45 | all_1622_1 | ~ (hAPP(v0, all_1622_1) = v1) | ~ (hAPP(all_1622_2,
% 291.27/57.45 | all_1622_1) = v0))
% 291.27/57.45 |
% 291.27/57.45 | ALPHA: (1205) implies:
% 291.27/57.45 | (1206) c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OMin) =
% 291.27/57.45 | all_1622_0
% 291.27/57.45 |
% 291.27/57.45 | DELTA: instantiating (203) with fresh symbol all_1625_0 gives:
% 291.27/57.45 | (1207) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1625_0 &
% 291.27/57.45 | $i(all_1625_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 291.27/57.45 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v0) = v2) |
% 291.27/57.45 | ~ $i(v1) | ~ $i(v0) | ~
% 291.27/57.45 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1,
% 291.27/57.45 | all_1625_0) | ~
% 291.27/57.45 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.27/57.45 | all_1625_0) |
% 291.27/57.45 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1625_0,
% 291.27/57.45 | v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 291.27/57.45 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v0) = v2) |
% 291.27/57.45 | ~ $i(v1) | ~ $i(v0) | ~
% 291.27/57.45 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1,
% 291.27/57.45 | all_1625_0) | ~
% 291.27/57.45 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1625_0,
% 291.27/57.45 | v1) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.27/57.45 | all_1625_0, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 291.27/57.45 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v0) = v2) |
% 291.27/57.45 | ~ $i(v1) | ~ $i(v0) | ~
% 291.27/57.45 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.27/57.45 | all_1625_0) | ~
% 291.27/57.45 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1625_0,
% 291.27/57.45 | v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.27/57.45 | all_1625_0, v2)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 291.27/57.45 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v0) = v2) |
% 291.27/57.45 | ~ $i(v1) | ~ $i(v0) | ~
% 291.27/57.45 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1625_0,
% 291.27/57.45 | v2) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1,
% 291.27/57.45 | all_1625_0) |
% 291.27/57.45 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1625_0,
% 291.27/57.45 | v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 291.27/57.45 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v0) = v2) |
% 291.27/57.45 | ~ $i(v1) | ~ $i(v0) | ~
% 291.27/57.45 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1625_0,
% 291.27/57.45 | v2) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.27/57.45 | all_1625_0) |
% 291.27/57.45 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1625_0,
% 291.27/57.45 | v1)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 291.27/57.45 | (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v0) = v2) |
% 291.27/57.45 | ~ $i(v1) | ~ $i(v0) | ~
% 291.27/57.45 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1625_0,
% 291.27/57.45 | v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.27/57.45 | all_1625_0, v0) |
% 291.27/57.45 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1625_0,
% 291.27/57.45 | v2))
% 291.27/57.45 |
% 291.27/57.45 | ALPHA: (1207) implies:
% 291.27/57.45 | (1208) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1625_0
% 291.27/57.45 |
% 291.27/57.45 | DELTA: instantiating (142) with fresh symbols all_1628_0, all_1628_1,
% 291.27/57.45 | all_1628_2, all_1628_3 gives:
% 291.27/57.45 | (1209) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1628_3 &
% 291.27/57.45 | c_Int_OBit1(c_Int_OPls) = all_1628_2 & c_Int_OBit0(all_1628_2) =
% 291.27/57.45 | all_1628_1 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat,
% 291.27/57.45 | all_1628_1) = all_1628_0 & $i(all_1628_0) & $i(all_1628_1) &
% 291.27/57.45 | $i(all_1628_2) & $i(all_1628_3) & ! [v0: $i] : ! [v1: $i] : !
% 291.27/57.45 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] :
% 291.27/57.45 | ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i]
% 291.27/57.45 | : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15: $i] : !
% 291.27/57.45 | [v16: $i] : ( ~ (c_NthRoot_Osqrt(v14) = v15) | ~
% 291.27/57.45 | (c_NthRoot_Osqrt(v8) = v9) | ~
% 291.27/57.45 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v11, v13) = v14) |
% 291.27/57.45 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v9, v15) = v16) |
% 291.27/57.45 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v7) = v8) |
% 291.27/57.45 | ~ (hAPP(v12, all_1628_0) = v13) | ~ (hAPP(v10, all_1628_0) = v11)
% 291.27/57.45 | | ~ (hAPP(v6, all_1628_0) = v7) | ~ (hAPP(v4, all_1628_0) = v5)
% 291.27/57.45 | | ~ (hAPP(all_1628_3, v3) = v4) | ~ (hAPP(all_1628_3, v2) = v10)
% 291.27/57.45 | | ~ (hAPP(all_1628_3, v1) = v6) | ~ (hAPP(all_1628_3, v0) = v12)
% 291.27/57.45 | | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v17: $i] :
% 291.27/57.45 | ? [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ?
% 291.27/57.45 | [v22: $i] : ? [v23: $i] : ? [v24: $i] : (c_NthRoot_Osqrt(v23) =
% 291.27/57.45 | v24 & c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v19, v22) =
% 291.27/57.45 | v23 & c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v2) =
% 291.27/57.45 | v17 & c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) =
% 291.27/57.45 | v20 & hAPP(v21, all_1628_0) = v22 & hAPP(v18, all_1628_0) = v19
% 291.27/57.45 | & hAPP(all_1628_3, v20) = v21 & hAPP(all_1628_3, v17) = v18 &
% 291.27/57.45 | $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) &
% 291.27/57.45 | $i(v18) & $i(v17) &
% 291.27/57.45 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v24, v16)))
% 291.27/57.45 |
% 291.27/57.45 | ALPHA: (1209) implies:
% 291.27/57.45 | (1210) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_1628_1) =
% 291.27/57.45 | all_1628_0
% 291.27/57.45 | (1211) c_Int_OBit0(all_1628_2) = all_1628_1
% 291.27/57.45 | (1212) c_Int_OBit1(c_Int_OPls) = all_1628_2
% 291.27/57.45 | (1213) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1628_3
% 291.27/57.45 |
% 291.27/57.45 | DELTA: instantiating (253) with fresh symbols all_1631_0, all_1631_1,
% 291.27/57.45 | all_1631_2, all_1631_3, all_1631_4, all_1631_5, all_1631_6, all_1631_7,
% 291.27/57.45 | all_1631_8, all_1631_9, all_1631_10, all_1631_11, all_1631_12,
% 291.27/57.45 | all_1631_13, all_1631_14, all_1631_15, all_1631_16, all_1631_17,
% 291.27/57.45 | all_1631_18, all_1631_19, all_1631_20, all_1631_21, all_1631_22 gives:
% 291.27/57.45 | (1214) c_Transcendental_Oarctan(all_1631_1) = all_1631_0 &
% 291.27/57.45 | c_Transcendental_Oarctan(all_1631_12) = all_1631_11 &
% 291.27/57.45 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1631_15,
% 291.27/57.45 | all_1631_2) = all_1631_1 &
% 291.27/57.45 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1631_15,
% 291.27/57.45 | all_1631_13) = all_1631_12 &
% 291.27/57.45 | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 291.27/57.45 | c_Transcendental_Opi, all_1631_19) = all_1631_18 &
% 291.27/57.45 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1631_10,
% 291.27/57.45 | all_1631_0) = all_1631_18 &
% 291.27/57.45 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1631_17 &
% 291.27/57.45 | c_Int_OBit1(all_1631_4) = all_1631_3 & c_Int_OBit1(all_1631_5) =
% 291.27/57.45 | all_1631_4 & c_Int_OBit1(all_1631_6) = all_1631_5 &
% 291.27/57.45 | c_Int_OBit1(all_1631_7) = all_1631_6 & c_Int_OBit1(all_1631_9) =
% 291.27/57.45 | all_1631_8 & c_Int_OBit1(all_1631_21) = all_1631_14 &
% 291.27/57.45 | c_Int_OBit1(all_1631_22) = all_1631_9 & c_Int_OBit1(c_Int_OPls) =
% 291.27/57.45 | all_1631_22 & c_Int_OBit0(all_1631_8) = all_1631_7 &
% 291.27/57.45 | c_Int_OBit0(all_1631_21) = all_1631_20 & c_Int_OBit0(all_1631_22) =
% 291.27/57.45 | all_1631_21 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 291.27/57.45 | all_1631_3) = all_1631_2 &
% 291.27/57.45 | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1631_14) =
% 291.27/57.45 | all_1631_13 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal,
% 291.27/57.45 | all_1631_20) = all_1631_19 &
% 291.27/57.45 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1631_15 &
% 291.27/57.45 | hAPP(all_1631_16, all_1631_11) = all_1631_10 & hAPP(all_1631_17,
% 291.27/57.45 | all_1631_19) = all_1631_16 & $i(all_1631_0) & $i(all_1631_1) &
% 291.27/57.45 | $i(all_1631_2) & $i(all_1631_3) & $i(all_1631_4) & $i(all_1631_5) &
% 291.27/57.45 | $i(all_1631_6) & $i(all_1631_7) & $i(all_1631_8) & $i(all_1631_9) &
% 291.27/57.45 | $i(all_1631_10) & $i(all_1631_11) & $i(all_1631_12) &
% 291.27/57.45 | $i(all_1631_13) & $i(all_1631_14) & $i(all_1631_15) &
% 291.27/57.45 | $i(all_1631_16) & $i(all_1631_17) & $i(all_1631_18) &
% 291.27/57.45 | $i(all_1631_19) & $i(all_1631_20) & $i(all_1631_21) &
% 291.27/57.45 | $i(all_1631_22)
% 291.27/57.45 |
% 291.27/57.45 | ALPHA: (1214) implies:
% 291.27/57.45 | (1215) $i(all_1631_19)
% 291.27/57.45 | (1216) $i(all_1631_13)
% 291.27/57.45 | (1217) $i(all_1631_11)
% 291.27/57.45 | (1218) $i(all_1631_2)
% 291.27/57.45 | (1219) hAPP(all_1631_17, all_1631_19) = all_1631_16
% 291.27/57.45 | (1220) hAPP(all_1631_16, all_1631_11) = all_1631_10
% 291.27/57.45 | (1221) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1631_15
% 291.27/57.45 | (1222) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1631_20) =
% 291.27/57.45 | all_1631_19
% 291.27/57.45 | (1223) c_Int_OBit0(all_1631_22) = all_1631_21
% 291.27/57.45 | (1224) c_Int_OBit0(all_1631_21) = all_1631_20
% 291.27/57.45 | (1225) c_Int_OBit1(c_Int_OPls) = all_1631_22
% 291.27/57.45 | (1226) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1631_17
% 291.27/57.45 | (1227) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 291.27/57.45 | c_Transcendental_Opi, all_1631_19) = all_1631_18
% 291.27/57.45 | (1228) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1631_15,
% 291.27/57.45 | all_1631_13) = all_1631_12
% 291.27/57.45 | (1229) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_1631_15,
% 291.27/57.45 | all_1631_2) = all_1631_1
% 291.27/57.45 |
% 291.27/57.45 | GROUND_INST: instantiating (302) with all_635_0, all_707_0, tc_RealDef_Oreal,
% 291.27/57.45 | simplifying with (319), (361) gives:
% 291.27/57.45 | (1230) all_707_0 = all_635_0
% 291.27/57.45 |
% 291.27/57.45 | GROUND_INST: instantiating (302) with all_707_0, all_815_0, tc_RealDef_Oreal,
% 291.27/57.45 | simplifying with (361), (418) gives:
% 291.27/57.46 | (1231) all_815_0 = all_707_0
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_657_0, all_815_0, tc_RealDef_Oreal,
% 291.27/57.46 | simplifying with (338), (418) gives:
% 291.27/57.46 | (1232) all_815_0 = all_657_0
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_815_0, all_823_2, tc_RealDef_Oreal,
% 291.27/57.46 | simplifying with (418), (420) gives:
% 291.27/57.46 | (1233) all_823_2 = all_815_0
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_823_2, all_830_0, tc_RealDef_Oreal,
% 291.27/57.46 | simplifying with (420), (424) gives:
% 291.27/57.46 | (1234) all_830_0 = all_823_2
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_830_0, all_833_0, tc_RealDef_Oreal,
% 291.27/57.46 | simplifying with (424), (426) gives:
% 291.27/57.46 | (1235) all_833_0 = all_830_0
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_833_0, all_854_0, tc_RealDef_Oreal,
% 291.27/57.46 | simplifying with (426), (436) gives:
% 291.27/57.46 | (1236) all_854_0 = all_833_0
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_854_0, all_866_1, tc_RealDef_Oreal,
% 291.27/57.46 | simplifying with (436), (442) gives:
% 291.27/57.46 | (1237) all_866_1 = all_854_0
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_866_1, all_892_2, tc_RealDef_Oreal,
% 291.27/57.46 | simplifying with (442), (453) gives:
% 291.27/57.46 | (1238) all_892_2 = all_866_1
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_892_2, all_918_3, tc_RealDef_Oreal,
% 291.27/57.46 | simplifying with (453), (473) gives:
% 291.27/57.46 | (1239) all_918_3 = all_892_2
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_918_3, all_931_3, tc_RealDef_Oreal,
% 291.27/57.46 | simplifying with (473), (486) gives:
% 291.27/57.46 | (1240) all_931_3 = all_918_3
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_931_3, all_933_1, tc_RealDef_Oreal,
% 291.27/57.46 | simplifying with (486), (488) gives:
% 291.27/57.46 | (1241) all_933_1 = all_931_3
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_933_1, all_950_0, tc_RealDef_Oreal,
% 291.27/57.46 | simplifying with (488), (500) gives:
% 291.27/57.46 | (1242) all_950_0 = all_933_1
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_950_0, all_960_0, tc_RealDef_Oreal,
% 291.27/57.46 | simplifying with (500), (509) gives:
% 291.27/57.46 | (1243) all_960_0 = all_950_0
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_960_0, all_963_0, tc_RealDef_Oreal,
% 291.27/57.46 | simplifying with (509), (511) gives:
% 291.27/57.46 | (1244) all_963_0 = all_960_0
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_999_0, all_1054_4, tc_RealDef_Oreal,
% 291.27/57.46 | simplifying with (533), (580) gives:
% 291.27/57.46 | (1245) all_1054_4 = all_999_0
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_1054_4, all_1198_0,
% 291.27/57.46 | tc_RealDef_Oreal, simplifying with (580), (700) gives:
% 291.27/57.46 | (1246) all_1198_0 = all_1054_4
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_1198_0, all_1204_1,
% 291.27/57.46 | tc_RealDef_Oreal, simplifying with (700), (706) gives:
% 291.27/57.46 | (1247) all_1204_1 = all_1198_0
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_1204_1, all_1233_5,
% 291.27/57.46 | tc_RealDef_Oreal, simplifying with (706), (735) gives:
% 291.27/57.46 | (1248) all_1233_5 = all_1204_1
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_1233_5, all_1239_0,
% 291.27/57.46 | tc_RealDef_Oreal, simplifying with (735), (748) gives:
% 291.27/57.46 | (1249) all_1239_0 = all_1233_5
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_1239_0, all_1244_0,
% 291.27/57.46 | tc_RealDef_Oreal, simplifying with (748), (760) gives:
% 291.27/57.46 | (1250) all_1244_0 = all_1239_0
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_1244_0, all_1308_1,
% 291.27/57.46 | tc_RealDef_Oreal, simplifying with (760), (819) gives:
% 291.27/57.46 | (1251) all_1308_1 = all_1244_0
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_1308_1, all_1311_0,
% 291.27/57.46 | tc_RealDef_Oreal, simplifying with (819), (825) gives:
% 291.27/57.46 | (1252) all_1311_0 = all_1308_1
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_1311_0, all_1328_0,
% 291.27/57.46 | tc_RealDef_Oreal, simplifying with (825), (844) gives:
% 291.27/57.46 | (1253) all_1328_0 = all_1311_0
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_1328_0, all_1369_4,
% 291.27/57.46 | tc_RealDef_Oreal, simplifying with (844), (887) gives:
% 291.27/57.46 | (1254) all_1369_4 = all_1328_0
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_1369_4, all_1396_0,
% 291.27/57.46 | tc_RealDef_Oreal, simplifying with (887), (914) gives:
% 291.27/57.46 | (1255) all_1396_0 = all_1369_4
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_1396_0, all_1488_0,
% 291.27/57.46 | tc_RealDef_Oreal, simplifying with (914), (1027) gives:
% 291.27/57.46 | (1256) all_1488_0 = all_1396_0
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_1488_0, all_1536_1,
% 291.27/57.46 | tc_RealDef_Oreal, simplifying with (1027), (1078) gives:
% 291.27/57.46 | (1257) all_1536_1 = all_1488_0
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_1536_1, all_1557_2,
% 291.27/57.46 | tc_RealDef_Oreal, simplifying with (1078), (1098) gives:
% 291.27/57.46 | (1258) all_1557_2 = all_1536_1
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_999_0, all_1581_2, tc_RealDef_Oreal,
% 291.27/57.46 | simplifying with (533), (1143) gives:
% 291.27/57.46 | (1259) all_1581_2 = all_999_0
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_984_0, all_1581_2, tc_RealDef_Oreal,
% 291.27/57.46 | simplifying with (523), (1143) gives:
% 291.27/57.46 | (1260) all_1581_2 = all_984_0
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_963_0, all_1581_2, tc_RealDef_Oreal,
% 291.27/57.46 | simplifying with (511), (1143) gives:
% 291.27/57.46 | (1261) all_1581_2 = all_963_0
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_1557_2, all_1631_15,
% 291.27/57.46 | tc_RealDef_Oreal, simplifying with (1098), (1221) gives:
% 291.27/57.46 | (1262) all_1631_15 = all_1557_2
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_749_0, all_1631_15,
% 291.27/57.46 | tc_RealDef_Oreal, simplifying with (389), (1221) gives:
% 291.27/57.46 | (1263) all_1631_15 = all_749_0
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_757_1, all_769_0, tc_Nat_Onat,
% 291.27/57.46 | simplifying with (392), (402) gives:
% 291.27/57.46 | (1264) all_769_0 = all_757_1
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_769_0, all_787_0, tc_Nat_Onat,
% 291.27/57.46 | simplifying with (402), (408) gives:
% 291.27/57.46 | (1265) all_787_0 = all_769_0
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_787_0, all_886_0, tc_Nat_Onat,
% 291.27/57.46 | simplifying with (408), (449) gives:
% 291.27/57.46 | (1266) all_886_0 = all_787_0
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_886_0, all_898_0, tc_Nat_Onat,
% 291.27/57.46 | simplifying with (449), (455) gives:
% 291.27/57.46 | (1267) all_898_0 = all_886_0
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_898_0, all_907_0, tc_Nat_Onat,
% 291.27/57.46 | simplifying with (455), (461) gives:
% 291.27/57.46 | (1268) all_907_0 = all_898_0
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_907_0, all_916_3, tc_Nat_Onat,
% 291.27/57.46 | simplifying with (461), (468) gives:
% 291.27/57.46 | (1269) all_916_3 = all_907_0
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_916_3, all_920_1, tc_Nat_Onat,
% 291.27/57.46 | simplifying with (468), (475) gives:
% 291.27/57.46 | (1270) all_920_1 = all_916_3
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_920_1, all_987_0, tc_Nat_Onat,
% 291.27/57.46 | simplifying with (475), (525) gives:
% 291.27/57.46 | (1271) all_987_0 = all_920_1
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_987_0, all_1204_0, tc_Nat_Onat,
% 291.27/57.46 | simplifying with (525), (707) gives:
% 291.27/57.46 | (1272) all_1204_0 = all_987_0
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_1204_0, all_1249_0, tc_Nat_Onat,
% 291.27/57.46 | simplifying with (707), (768) gives:
% 291.27/57.46 | (1273) all_1249_0 = all_1204_0
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_1249_0, all_1313_1, tc_Nat_Onat,
% 291.27/57.46 | simplifying with (768), (832) gives:
% 291.27/57.46 | (1274) all_1313_1 = all_1249_0
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_1313_1, all_1316_0, tc_Nat_Onat,
% 291.27/57.46 | simplifying with (832), (834) gives:
% 291.27/57.46 | (1275) all_1316_0 = all_1313_1
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_1204_0, all_1446_0, tc_Nat_Onat,
% 291.27/57.46 | simplifying with (707), (977) gives:
% 291.27/57.46 | (1276) all_1446_0 = all_1204_0
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_1096_1, all_1446_0, tc_Nat_Onat,
% 291.27/57.46 | simplifying with (623), (977) gives:
% 291.27/57.46 | (1277) all_1446_0 = all_1096_1
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_1316_0, all_1500_0, tc_Nat_Onat,
% 291.27/57.46 | simplifying with (834), (1043) gives:
% 291.27/57.46 | (1278) all_1500_0 = all_1316_0
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (302) with all_725_1, all_1500_0, tc_Nat_Onat,
% 291.27/57.46 | simplifying with (372), (1043) gives:
% 291.27/57.46 | (1279) all_1500_0 = all_725_1
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (311) with all_1228_6, all_1270_6, c_Int_OMin,
% 291.27/57.46 | tc_RealDef_Oreal, simplifying with (728), (787) gives:
% 291.27/57.46 | (1280) all_1270_6 = all_1228_6
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (311) with all_1090_0, all_1622_0, c_Int_OMin,
% 291.27/57.46 | tc_Int_Oint, simplifying with (618), (1206) gives:
% 291.27/57.46 | (1281) all_1622_0 = all_1090_0
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (311) with all_767_0, all_1622_0, c_Int_OMin,
% 291.27/57.46 | tc_Int_Oint, simplifying with (400), (1206) gives:
% 291.27/57.46 | (1282) all_1622_0 = all_767_0
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (304) with all_871_0, all_916_1, c_Int_OPls,
% 291.27/57.46 | simplifying with (447), (471) gives:
% 291.27/57.46 | (1283) all_916_1 = all_871_0
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (304) with all_945_0, all_948_2, c_Int_OPls,
% 291.27/57.46 | simplifying with (495), (497) gives:
% 291.27/57.46 | (1284) all_948_2 = all_945_0
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (304) with all_948_2, all_953_0, c_Int_OPls,
% 291.27/57.46 | simplifying with (497), (503) gives:
% 291.27/57.46 | (1285) all_953_0 = all_948_2
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (304) with all_953_0, all_957_2, c_Int_OPls,
% 291.27/57.46 | simplifying with (503), (507) gives:
% 291.27/57.46 | (1286) all_957_2 = all_953_0
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (304) with all_871_0, all_1038_1, c_Int_OPls,
% 291.27/57.46 | simplifying with (447), (557) gives:
% 291.27/57.46 | (1287) all_1038_1 = all_871_0
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (304) with all_1044_1, all_1056_3, c_Int_OPls,
% 291.27/57.46 | simplifying with (563), (587) gives:
% 291.27/57.46 | (1288) all_1056_3 = all_1044_1
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (304) with all_1056_3, all_1072_2, c_Int_OPls,
% 291.27/57.46 | simplifying with (587), (604) gives:
% 291.27/57.46 | (1289) all_1072_2 = all_1056_3
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (304) with all_1038_1, all_1105_0, c_Int_OPls,
% 291.27/57.46 | simplifying with (557), (628) gives:
% 291.27/57.46 | (1290) all_1105_0 = all_1038_1
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (304) with all_709_0, all_1105_0, c_Int_OPls,
% 291.27/57.46 | simplifying with (364), (628) gives:
% 291.27/57.46 | (1291) all_1105_0 = all_709_0
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (304) with all_1069_2, all_1111_1, c_Int_OPls,
% 291.27/57.46 | simplifying with (600), (631) gives:
% 291.27/57.46 | (1292) all_1111_1 = all_1069_2
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (304) with all_1111_1, all_1123_1, c_Int_OPls,
% 291.27/57.46 | simplifying with (631), (637) gives:
% 291.27/57.46 | (1293) all_1123_1 = all_1111_1
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (304) with all_1069_2, all_1141_5, c_Int_OPls,
% 291.27/57.46 | simplifying with (600), (652) gives:
% 291.27/57.46 | (1294) all_1141_5 = all_1069_2
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (304) with all_1054_3, all_1141_5, c_Int_OPls,
% 291.27/57.46 | simplifying with (583), (652) gives:
% 291.27/57.46 | (1295) all_1141_5 = all_1054_3
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (304) with all_1123_1, all_1148_0, c_Int_OPls,
% 291.27/57.46 | simplifying with (637), (658) gives:
% 291.27/57.46 | (1296) all_1148_0 = all_1123_1
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (304) with all_1141_5, all_1154_2, c_Int_OPls,
% 291.27/57.46 | simplifying with (652), (664) gives:
% 291.27/57.46 | (1297) all_1154_2 = all_1141_5
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (304) with all_1054_3, all_1178_3, c_Int_OPls,
% 291.27/57.46 | simplifying with (583), (681) gives:
% 291.27/57.46 | (1298) all_1178_3 = all_1054_3
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (304) with all_1044_1, all_1178_3, c_Int_OPls,
% 291.27/57.46 | simplifying with (563), (681) gives:
% 291.27/57.46 | (1299) all_1178_3 = all_1044_1
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (304) with all_1183_3, all_1186_2, c_Int_OPls,
% 291.27/57.46 | simplifying with (689), (692) gives:
% 291.27/57.46 | (1300) all_1186_2 = all_1183_3
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (304) with all_1186_2, all_1192_3, c_Int_OPls,
% 291.27/57.46 | simplifying with (692), (696) gives:
% 291.27/57.46 | (1301) all_1192_3 = all_1186_2
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (304) with all_1192_3, all_1201_1, c_Int_OPls,
% 291.27/57.46 | simplifying with (696), (704) gives:
% 291.27/57.46 | (1302) all_1201_1 = all_1192_3
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (304) with all_1201_1, all_1207_2, c_Int_OPls,
% 291.27/57.46 | simplifying with (704), (712) gives:
% 291.27/57.46 | (1303) all_1207_2 = all_1201_1
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (304) with all_1207_2, all_1228_4, c_Int_OPls,
% 291.27/57.46 | simplifying with (712), (731) gives:
% 291.27/57.46 | (1304) all_1228_4 = all_1207_2
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (304) with all_1228_4, all_1236_2, c_Int_OPls,
% 291.27/57.46 | simplifying with (731), (743) gives:
% 291.27/57.46 | (1305) all_1236_2 = all_1228_4
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (304) with all_1072_2, all_1244_5, c_Int_OPls,
% 291.27/57.46 | simplifying with (604), (763) gives:
% 291.27/57.46 | (1306) all_1244_5 = all_1072_2
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (304) with all_1246_0, all_1258_0, c_Int_OPls,
% 291.27/57.46 | simplifying with (766), (773) gives:
% 291.27/57.46 | (1307) all_1258_0 = all_1246_0
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (304) with all_1258_0, all_1264_0, c_Int_OPls,
% 291.27/57.46 | simplifying with (773), (780) gives:
% 291.27/57.46 | (1308) all_1264_0 = all_1258_0
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (304) with all_1241_2, all_1270_4, c_Int_OPls,
% 291.27/57.46 | simplifying with (756), (790) gives:
% 291.27/57.46 | (1309) all_1270_4 = all_1241_2
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (304) with all_1270_4, all_1272_0, c_Int_OPls,
% 291.27/57.46 | simplifying with (790), (793) gives:
% 291.27/57.46 | (1310) all_1272_0 = all_1270_4
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (304) with all_1272_0, all_1278_2, c_Int_OPls,
% 291.27/57.46 | simplifying with (793), (797) gives:
% 291.27/57.46 | (1311) all_1278_2 = all_1272_0
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (304) with all_1278_2, all_1293_1, c_Int_OPls,
% 291.27/57.46 | simplifying with (797), (804) gives:
% 291.27/57.46 | (1312) all_1293_1 = all_1278_2
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (304) with all_1148_0, all_1296_2, c_Int_OPls,
% 291.27/57.46 | simplifying with (658), (808) gives:
% 291.27/57.46 | (1313) all_1296_2 = all_1148_0
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (304) with all_1132_2, all_1296_2, c_Int_OPls,
% 291.27/57.46 | simplifying with (648), (808) gives:
% 291.27/57.46 | (1314) all_1296_2 = all_1132_2
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (304) with all_1261_2, all_1299_2, c_Int_OPls,
% 291.27/57.46 | simplifying with (777), (813) gives:
% 291.27/57.46 | (1315) all_1299_2 = all_1261_2
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (304) with all_1293_1, all_1311_6, c_Int_OPls,
% 291.27/57.46 | simplifying with (804), (829) gives:
% 291.27/57.46 | (1316) all_1311_6 = all_1293_1
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (304) with all_1311_6, all_1328_6, c_Int_OPls,
% 291.27/57.46 | simplifying with (829), (848) gives:
% 291.27/57.46 | (1317) all_1328_6 = all_1311_6
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (304) with all_1244_5, all_1348_2, c_Int_OPls,
% 291.27/57.46 | simplifying with (763), (861) gives:
% 291.27/57.46 | (1318) all_1348_2 = all_1244_5
% 291.27/57.46 |
% 291.27/57.46 | GROUND_INST: instantiating (304) with all_1299_2, all_1351_2, c_Int_OPls,
% 291.27/57.46 | simplifying with (813), (865) gives:
% 291.27/57.47 | (1319) all_1351_2 = all_1299_2
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1328_6, all_1357_2, c_Int_OPls,
% 291.27/57.47 | simplifying with (848), (876) gives:
% 291.27/57.47 | (1320) all_1357_2 = all_1328_6
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1357_2, all_1369_2, c_Int_OPls,
% 291.27/57.47 | simplifying with (876), (890) gives:
% 291.27/57.47 | (1321) all_1369_2 = all_1357_2
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1369_2, all_1384_2, c_Int_OPls,
% 291.27/57.47 | simplifying with (890), (897) gives:
% 291.27/57.47 | (1322) all_1384_2 = all_1369_2
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1154_2, all_1393_2, c_Int_OPls,
% 291.27/57.47 | simplifying with (664), (906) gives:
% 291.27/57.47 | (1323) all_1393_2 = all_1154_2
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1058_4, all_1393_2, c_Int_OPls,
% 291.27/57.47 | simplifying with (592), (906) gives:
% 291.27/57.47 | (1324) all_1393_2 = all_1058_4
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1038_1, all_1396_6, c_Int_OPls,
% 291.27/57.47 | simplifying with (557), (917) gives:
% 291.27/57.47 | (1325) all_1396_6 = all_1038_1
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1105_0, all_1398_3, c_Int_OPls,
% 291.27/57.47 | simplifying with (628), (923) gives:
% 291.27/57.47 | (1326) all_1398_3 = all_1105_0
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1384_2, all_1401_2, c_Int_OPls,
% 291.27/57.47 | simplifying with (897), (929) gives:
% 291.27/57.47 | (1327) all_1401_2 = all_1384_2
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1351_2, all_1422_3, c_Int_OPls,
% 291.27/57.47 | simplifying with (865), (948) gives:
% 291.27/57.47 | (1328) all_1422_3 = all_1351_2
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1401_2, all_1425_3, c_Int_OPls,
% 291.27/57.47 | simplifying with (929), (952) gives:
% 291.27/57.47 | (1329) all_1425_3 = all_1401_2
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1425_3, all_1428_2, c_Int_OPls,
% 291.27/57.47 | simplifying with (952), (956) gives:
% 291.27/57.47 | (1330) all_1428_2 = all_1425_3
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1428_2, all_1431_2, c_Int_OPls,
% 291.27/57.47 | simplifying with (956), (961) gives:
% 291.27/57.47 | (1331) all_1431_2 = all_1428_2
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1431_2, all_1434_2, c_Int_OPls,
% 291.27/57.47 | simplifying with (961), (967) gives:
% 291.27/57.47 | (1332) all_1434_2 = all_1431_2
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1434_2, all_1440_2, c_Int_OPls,
% 291.27/57.47 | simplifying with (967), (972) gives:
% 291.27/57.47 | (1333) all_1440_2 = all_1434_2
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1440_2, all_1443_2, c_Int_OPls,
% 291.27/57.47 | simplifying with (972), (975) gives:
% 291.27/57.47 | (1334) all_1443_2 = all_1440_2
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1443_2, all_1455_3, c_Int_OPls,
% 291.27/57.47 | simplifying with (975), (989) gives:
% 291.27/57.47 | (1335) all_1455_3 = all_1443_2
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1261_2, all_1458_3, c_Int_OPls,
% 291.27/57.47 | simplifying with (777), (995) gives:
% 291.27/57.47 | (1336) all_1458_3 = all_1261_2
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1233_3, all_1458_3, c_Int_OPls,
% 291.27/57.47 | simplifying with (738), (995) gives:
% 291.27/57.47 | (1337) all_1458_3 = all_1233_3
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1166_2, all_1458_3, c_Int_OPls,
% 291.27/57.47 | simplifying with (672), (995) gives:
% 291.27/57.47 | (1338) all_1458_3 = all_1166_2
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1148_0, all_1458_3, c_Int_OPls,
% 291.27/57.47 | simplifying with (658), (995) gives:
% 291.27/57.47 | (1339) all_1458_3 = all_1148_0
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1396_6, all_1467_3, c_Int_OPls,
% 291.27/57.47 | simplifying with (917), (1004) gives:
% 291.27/57.47 | (1340) all_1467_3 = all_1396_6
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_868_0, all_1467_3, c_Int_OPls,
% 291.27/57.47 | simplifying with (445), (1004) gives:
% 291.27/57.47 | (1341) all_1467_3 = all_868_0
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1422_3, all_1470_3, c_Int_OPls,
% 291.27/57.47 | simplifying with (948), (1010) gives:
% 291.27/57.47 | (1342) all_1470_3 = all_1422_3
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1419_2, all_1470_3, c_Int_OPls,
% 291.27/57.47 | simplifying with (943), (1010) gives:
% 291.27/57.47 | (1343) all_1470_3 = all_1419_2
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1178_3, all_1476_2, c_Int_OPls,
% 291.27/57.47 | simplifying with (681), (1016) gives:
% 291.27/57.47 | (1344) all_1476_2 = all_1178_3
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1046_3, all_1476_2, c_Int_OPls,
% 291.27/57.47 | simplifying with (571), (1016) gives:
% 291.27/57.47 | (1345) all_1476_2 = all_1046_3
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1455_3, all_1479_2, c_Int_OPls,
% 291.27/57.47 | simplifying with (989), (1020) gives:
% 291.27/57.47 | (1346) all_1479_2 = all_1455_3
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1348_2, all_1488_3, c_Int_OPls,
% 291.27/57.47 | simplifying with (861), (1030) gives:
% 291.27/57.47 | (1347) all_1488_3 = all_1348_2
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_735_1, all_1488_3, c_Int_OPls,
% 291.27/57.47 | simplifying with (381), (1030) gives:
% 291.27/57.47 | (1348) all_1488_3 = all_735_1
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1479_2, all_1497_3, c_Int_OPls,
% 291.27/57.47 | simplifying with (1020), (1041) gives:
% 291.27/57.47 | (1349) all_1497_3 = all_1479_2
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_945_0, all_1509_2, c_Int_OPls,
% 291.27/57.47 | simplifying with (495), (1053) gives:
% 291.27/57.47 | (1350) all_1509_2 = all_945_0
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_929_2, all_1509_2, c_Int_OPls,
% 291.27/57.47 | simplifying with (483), (1053) gives:
% 291.27/57.47 | (1351) all_1509_2 = all_929_2
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_916_1, all_1509_2, c_Int_OPls,
% 291.27/57.47 | simplifying with (471), (1053) gives:
% 291.27/57.47 | (1352) all_1509_2 = all_916_1
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1241_2, all_1515_2, c_Int_OPls,
% 291.27/57.47 | simplifying with (756), (1059) gives:
% 291.27/57.47 | (1353) all_1515_2 = all_1241_2
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1239_5, all_1515_2, c_Int_OPls,
% 291.27/57.47 | simplifying with (751), (1059) gives:
% 291.27/57.47 | (1354) all_1515_2 = all_1239_5
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1236_2, all_1515_2, c_Int_OPls,
% 291.27/57.47 | simplifying with (743), (1059) gives:
% 291.27/57.47 | (1355) all_1515_2 = all_1236_2
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1105_0, all_1521_2, c_Int_OPls,
% 291.27/57.47 | simplifying with (628), (1069) gives:
% 291.27/57.47 | (1356) all_1521_2 = all_1105_0
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_725_0, all_1521_2, c_Int_OPls,
% 291.27/57.47 | simplifying with (373), (1069) gives:
% 291.27/57.47 | (1357) all_1521_2 = all_725_0
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1518_3, all_1524_3, c_Int_OPls,
% 291.27/57.47 | simplifying with (1063), (1073) gives:
% 291.27/57.47 | (1358) all_1524_3 = all_1518_3
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1393_2, all_1524_3, c_Int_OPls,
% 291.27/57.47 | simplifying with (906), (1073) gives:
% 291.27/57.47 | (1359) all_1524_3 = all_1393_2
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1325_2, all_1524_3, c_Int_OPls,
% 291.27/57.47 | simplifying with (840), (1073) gives:
% 291.27/57.47 | (1360) all_1524_3 = all_1325_2
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1497_3, all_1542_2, c_Int_OPls,
% 291.27/57.47 | simplifying with (1041), (1083) gives:
% 291.27/57.47 | (1361) all_1542_2 = all_1497_3
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1398_3, all_1554_3, c_Int_OPls,
% 291.27/57.47 | simplifying with (923), (1095) gives:
% 291.27/57.47 | (1362) all_1554_3 = all_1398_3
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_845_2, all_1554_3, c_Int_OPls,
% 291.27/57.47 | simplifying with (430), (1095) gives:
% 291.27/57.47 | (1363) all_1554_3 = all_845_2
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1449_2, all_1563_3, c_Int_OPls,
% 291.27/57.47 | simplifying with (982), (1111) gives:
% 291.27/57.47 | (1364) all_1563_3 = all_1449_2
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1366_2, all_1563_3, c_Int_OPls,
% 291.27/57.47 | simplifying with (885), (1111) gives:
% 291.27/57.47 | (1365) all_1563_3 = all_1366_2
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1354_2, all_1563_3, c_Int_OPls,
% 291.27/57.47 | simplifying with (870), (1111) gives:
% 291.27/57.47 | (1366) all_1563_3 = all_1354_2
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1264_0, all_1563_3, c_Int_OPls,
% 291.27/57.47 | simplifying with (780), (1111) gives:
% 291.27/57.47 | (1367) all_1563_3 = all_1264_0
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1246_0, all_1566_3, c_Int_OPls,
% 291.27/57.47 | simplifying with (766), (1116) gives:
% 291.27/57.47 | (1368) all_1566_3 = all_1246_0
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1175_1, all_1566_3, c_Int_OPls,
% 291.27/57.47 | simplifying with (677), (1116) gives:
% 291.27/57.47 | (1369) all_1566_3 = all_1175_1
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1166_2, all_1566_3, c_Int_OPls,
% 291.27/57.47 | simplifying with (672), (1116) gives:
% 291.27/57.47 | (1370) all_1566_3 = all_1166_2
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1366_2, all_1575_2, c_Int_OPls,
% 291.27/57.47 | simplifying with (885), (1126) gives:
% 291.27/57.47 | (1371) all_1575_2 = all_1366_2
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1542_2, all_1578_4, c_Int_OPls,
% 291.27/57.47 | simplifying with (1083), (1131) gives:
% 291.27/57.47 | (1372) all_1578_4 = all_1542_2
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1575_2, all_1581_11, c_Int_OPls,
% 291.27/57.47 | simplifying with (1126), (1148) gives:
% 291.27/57.47 | (1373) all_1581_11 = all_1575_2
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1578_4, all_1583_2, c_Int_OPls,
% 291.27/57.47 | simplifying with (1131), (1154) gives:
% 291.27/57.47 | (1374) all_1583_2 = all_1578_4
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1044_1, all_1586_5, c_Int_OPls,
% 291.27/57.47 | simplifying with (563), (1159) gives:
% 291.27/57.47 | (1375) all_1586_5 = all_1044_1
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_969_0, all_1586_5, c_Int_OPls,
% 291.27/57.47 | simplifying with (513), (1159) gives:
% 291.27/57.47 | (1376) all_1586_5 = all_969_0
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_957_2, all_1586_5, c_Int_OPls,
% 291.27/57.47 | simplifying with (507), (1159) gives:
% 291.27/57.47 | (1377) all_1586_5 = all_957_2
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1583_2, all_1589_3, c_Int_OPls,
% 291.27/57.47 | simplifying with (1154), (1164) gives:
% 291.27/57.47 | (1378) all_1589_3 = all_1583_2
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1581_11, all_1595_3, c_Int_OPls,
% 291.27/57.47 | simplifying with (1148), (1177) gives:
% 291.27/57.47 | (1379) all_1595_3 = all_1581_11
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1296_2, all_1601_8, c_Int_OPls,
% 291.27/57.47 | simplifying with (808), (1186) gives:
% 291.27/57.47 | (1380) all_1601_8 = all_1296_2
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1183_3, all_1601_8, c_Int_OPls,
% 291.27/57.47 | simplifying with (689), (1186) gives:
% 291.27/57.47 | (1381) all_1601_8 = all_1183_3
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1180_2, all_1601_8, c_Int_OPls,
% 291.27/57.47 | simplifying with (685), (1186) gives:
% 291.27/57.47 | (1382) all_1601_8 = all_1180_2
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1589_3, all_1604_5, c_Int_OPls,
% 291.27/57.47 | simplifying with (1164), (1194) gives:
% 291.27/57.47 | (1383) all_1604_5 = all_1589_3
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1017_0, all_1604_5, c_Int_OPls,
% 291.27/57.47 | simplifying with (543), (1194) gives:
% 291.27/57.47 | (1384) all_1604_5 = all_1017_0
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1595_3, all_1619_2, c_Int_OPls,
% 291.27/57.47 | simplifying with (1177), (1202) gives:
% 291.27/57.47 | (1385) all_1619_2 = all_1595_3
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1129_2, all_1619_2, c_Int_OPls,
% 291.27/57.47 | simplifying with (644), (1202) gives:
% 291.27/57.47 | (1386) all_1619_2 = all_1129_2
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1592_2, all_1628_2, c_Int_OPls,
% 291.27/57.47 | simplifying with (1170), (1212) gives:
% 291.27/57.47 | (1387) all_1628_2 = all_1592_2
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1563_3, all_1628_2, c_Int_OPls,
% 291.27/57.47 | simplifying with (1111), (1212) gives:
% 291.27/57.47 | (1388) all_1628_2 = all_1563_3
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1557_6, all_1628_2, c_Int_OPls,
% 291.27/57.47 | simplifying with (1102), (1212) gives:
% 291.27/57.47 | (1389) all_1628_2 = all_1557_6
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1494_3, all_1631_22, c_Int_OPls,
% 291.27/57.47 | simplifying with (1037), (1225) gives:
% 291.27/57.47 | (1390) all_1631_22 = all_1494_3
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1422_3, all_1631_22, c_Int_OPls,
% 291.27/57.47 | simplifying with (948), (1225) gives:
% 291.27/57.47 | (1391) all_1631_22 = all_1422_3
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (304) with all_1163_2, all_1631_22, c_Int_OPls,
% 291.27/57.47 | simplifying with (668), (1225) gives:
% 291.27/57.47 | (1392) all_1631_22 = all_1163_2
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (305) with all_990_0, all_1048_0, tc_RealDef_Oreal,
% 291.27/57.47 | simplifying with (527), (574) gives:
% 291.27/57.47 | (1393) all_1048_0 = all_990_0
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (305) with all_1048_0, all_1078_0,
% 291.27/57.47 | tc_RealDef_Oreal, simplifying with (574), (608) gives:
% 291.27/57.47 | (1394) all_1078_0 = all_1048_0
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (305) with all_1048_0, all_1081_0,
% 291.27/57.47 | tc_RealDef_Oreal, simplifying with (574), (610) gives:
% 291.27/57.47 | (1395) all_1081_0 = all_1048_0
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (305) with all_1081_0, all_1087_0,
% 291.27/57.47 | tc_RealDef_Oreal, simplifying with (610), (615) gives:
% 291.27/57.47 | (1396) all_1087_0 = all_1081_0
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (305) with all_1087_0, all_1114_0,
% 291.27/57.47 | tc_RealDef_Oreal, simplifying with (615), (633) gives:
% 291.27/57.47 | (1397) all_1114_0 = all_1087_0
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (305) with all_1078_0, all_1126_0,
% 291.27/57.47 | tc_RealDef_Oreal, simplifying with (608), (639) gives:
% 291.27/57.47 | (1398) all_1126_0 = all_1078_0
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (305) with all_1114_0, all_1216_0,
% 291.27/57.47 | tc_RealDef_Oreal, simplifying with (633), (716) gives:
% 291.27/57.47 | (1399) all_1216_0 = all_1114_0
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (305) with all_1216_0, all_1219_0,
% 291.27/57.47 | tc_RealDef_Oreal, simplifying with (716), (718) gives:
% 291.27/57.47 | (1400) all_1219_0 = all_1216_0
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (305) with all_1126_0, all_1222_0,
% 291.27/57.47 | tc_RealDef_Oreal, simplifying with (639), (721) gives:
% 291.27/57.47 | (1401) all_1222_0 = all_1126_0
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (305) with all_1239_6, all_1244_6,
% 291.27/57.47 | tc_RealDef_Oreal, simplifying with (752), (764) gives:
% 291.27/57.47 | (1402) all_1244_6 = all_1239_6
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (305) with all_1244_6, all_1267_0,
% 291.27/57.47 | tc_RealDef_Oreal, simplifying with (764), (782) gives:
% 291.27/57.47 | (1403) all_1267_0 = all_1244_6
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (305) with all_1267_0, all_1270_5,
% 291.27/57.47 | tc_RealDef_Oreal, simplifying with (782), (791) gives:
% 291.27/57.47 | (1404) all_1270_5 = all_1267_0
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (305) with all_1270_5, all_1284_0,
% 291.27/57.47 | tc_RealDef_Oreal, simplifying with (791), (801) gives:
% 291.27/57.47 | (1405) all_1284_0 = all_1270_5
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (305) with all_1219_0, all_1302_0,
% 291.27/57.47 | tc_RealDef_Oreal, simplifying with (718), (816) gives:
% 291.27/57.47 | (1406) all_1302_0 = all_1219_0
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (305) with all_990_0, all_1311_7, tc_RealDef_Oreal,
% 291.27/57.47 | simplifying with (527), (830) gives:
% 291.27/57.47 | (1407) all_1311_7 = all_990_0
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (305) with all_1302_0, all_1322_0,
% 291.27/57.47 | tc_RealDef_Oreal, simplifying with (816), (836) gives:
% 291.27/57.47 | (1408) all_1322_0 = all_1302_0
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (305) with all_1284_0, all_1328_7,
% 291.27/57.47 | tc_RealDef_Oreal, simplifying with (801), (849) gives:
% 291.27/57.47 | (1409) all_1328_7 = all_1284_0
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (305) with all_1328_7, all_1360_0,
% 291.27/57.47 | tc_RealDef_Oreal, simplifying with (849), (879) gives:
% 291.27/57.47 | (1410) all_1360_0 = all_1328_7
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (305) with all_1360_0, all_1387_0,
% 291.27/57.47 | tc_RealDef_Oreal, simplifying with (879), (899) gives:
% 291.27/57.47 | (1411) all_1387_0 = all_1360_0
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (305) with all_1387_0, all_1452_0,
% 291.27/57.47 | tc_RealDef_Oreal, simplifying with (899), (985) gives:
% 291.27/57.47 | (1412) all_1452_0 = all_1387_0
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (305) with all_1239_6, all_1506_1,
% 291.27/57.47 | tc_RealDef_Oreal, simplifying with (752), (1048) gives:
% 291.27/57.47 | (1413) all_1506_1 = all_1239_6
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (305) with all_1228_5, all_1506_1,
% 291.27/57.47 | tc_RealDef_Oreal, simplifying with (732), (1048) gives:
% 291.27/57.47 | (1414) all_1506_1 = all_1228_5
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (305) with all_1222_0, all_1506_1,
% 291.27/57.47 | tc_RealDef_Oreal, simplifying with (721), (1048) gives:
% 291.27/57.47 | (1415) all_1506_1 = all_1222_0
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (305) with all_1503_0, all_1527_0,
% 291.27/57.47 | tc_RealDef_Oreal, simplifying with (1045), (1075) gives:
% 291.27/57.47 | (1416) all_1527_0 = all_1503_0
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (305) with all_1527_0, all_1536_0,
% 291.27/57.47 | tc_RealDef_Oreal, simplifying with (1075), (1079) gives:
% 291.27/57.47 | (1417) all_1536_0 = all_1527_0
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (305) with all_1536_0, all_1548_0,
% 291.27/57.47 | tc_RealDef_Oreal, simplifying with (1079), (1088) gives:
% 291.27/57.47 | (1418) all_1548_0 = all_1536_0
% 291.27/57.47 |
% 291.27/57.47 | GROUND_INST: instantiating (305) with all_1322_0, all_1557_7,
% 291.27/57.47 | tc_RealDef_Oreal, simplifying with (836), (1103) gives:
% 291.27/57.48 | (1419) all_1557_7 = all_1322_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (305) with all_1557_7, all_1566_4,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (1103), (1117) gives:
% 291.27/57.48 | (1420) all_1566_4 = all_1557_7
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (305) with all_1566_4, all_1581_12,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (1117), (1149) gives:
% 291.27/57.48 | (1421) all_1581_12 = all_1566_4
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (305) with all_1311_7, all_1592_4,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (830), (1171) gives:
% 291.27/57.48 | (1422) all_1592_4 = all_1311_7
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (305) with all_1503_0, all_1601_9,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (1045), (1187) gives:
% 291.27/57.48 | (1423) all_1601_9 = all_1503_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (305) with all_1482_0, all_1601_9,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (1022), (1187) gives:
% 291.27/57.48 | (1424) all_1601_9 = all_1482_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (305) with all_1452_0, all_1601_9,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (985), (1187) gives:
% 291.27/57.48 | (1425) all_1601_9 = all_1452_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (305) with all_1581_12, all_1604_2,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (1149), (1195) gives:
% 291.27/57.48 | (1426) all_1604_2 = all_1581_12
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (305) with all_1002_0, all_1604_2,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (535), (1195) gives:
% 291.27/57.48 | (1427) all_1604_2 = all_1002_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (305) with all_1592_4, all_1619_3,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (1171), (1203) gives:
% 291.27/57.48 | (1428) all_1619_3 = all_1592_4
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (305) with all_933_2, all_1619_3, tc_RealDef_Oreal,
% 291.27/57.48 | simplifying with (489), (1203) gives:
% 291.27/57.48 | (1429) all_1619_3 = all_933_2
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (305) with all_1548_0, all_1631_17,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (1088), (1226) gives:
% 291.27/57.48 | (1430) all_1631_17 = all_1548_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (305) with all_901_0, all_1631_17,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (457), (1226) gives:
% 291.27/57.48 | (1431) all_1631_17 = all_901_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (306) with all_1233_4, all_1261_3,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (739), (778) gives:
% 291.27/57.48 | (1432) all_1261_3 = all_1233_4
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (306) with all_1261_3, all_1278_3,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (778), (798) gives:
% 291.27/57.48 | (1433) all_1278_3 = all_1261_3
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (306) with all_1278_3, all_1345_0,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (798), (857) gives:
% 291.27/57.48 | (1434) all_1345_0 = all_1278_3
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (306) with all_1345_0, all_1351_3,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (857), (866) gives:
% 291.27/57.48 | (1435) all_1351_3 = all_1345_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (306) with all_1351_3, all_1354_3,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (866), (871) gives:
% 291.27/57.48 | (1436) all_1354_3 = all_1351_3
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (306) with all_1345_0, all_1369_3,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (857), (891) gives:
% 291.27/57.48 | (1437) all_1369_3 = all_1345_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (306) with all_1369_3, all_1396_8,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (891), (918) gives:
% 291.27/57.48 | (1438) all_1396_8 = all_1369_3
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (306) with all_1396_8, all_1440_3,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (918), (973) gives:
% 291.27/57.48 | (1439) all_1440_3 = all_1396_8
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (306) with all_1357_3, all_1467_4,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (877), (1005) gives:
% 291.27/57.48 | (1440) all_1467_4 = all_1357_3
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (306) with all_1354_3, all_1467_4,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (871), (1005) gives:
% 291.27/57.48 | (1441) all_1467_4 = all_1354_3
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (306) with all_1455_4, all_1488_4,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (990), (1031) gives:
% 291.27/57.48 | (1442) all_1488_4 = all_1455_4
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (306) with all_1488_4, all_1518_4,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (1031), (1064) gives:
% 291.27/57.48 | (1443) all_1518_4 = all_1488_4
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (306) with all_1518_4, all_1557_1,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (1064), (1104) gives:
% 291.27/57.48 | (1444) all_1557_1 = all_1518_4
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (306) with all_1428_3, all_1557_1,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (957), (1104) gives:
% 291.27/57.48 | (1445) all_1557_1 = all_1428_3
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (306) with all_1440_3, all_1589_4,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (973), (1165) gives:
% 291.27/57.48 | (1446) all_1589_4 = all_1440_3
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (306) with all_1581_13, all_1592_3,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (1150), (1172) gives:
% 291.27/57.48 | (1447) all_1592_3 = all_1581_13
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (306) with all_1467_4, all_1592_3,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (1005), (1172) gives:
% 291.27/57.48 | (1448) all_1592_3 = all_1467_4
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (306) with all_1455_4, all_1592_3,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (990), (1172) gives:
% 291.27/57.48 | (1449) all_1592_3 = all_1455_4
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (306) with all_1431_3, all_1592_3,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (962), (1172) gives:
% 291.27/57.48 | (1450) all_1592_3 = all_1431_3
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (306) with all_1398_4, all_1592_3,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (924), (1172) gives:
% 291.27/57.48 | (1451) all_1592_3 = all_1398_4
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (306) with all_1589_4, all_1601_3,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (1165), (1188) gives:
% 291.27/57.48 | (1452) all_1601_3 = all_1589_4
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (306) with all_1143_0, all_1601_3,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (656), (1188) gives:
% 291.27/57.48 | (1453) all_1601_3 = all_1143_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (306) with all_1586_1, all_1604_6,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (1160), (1196) gives:
% 291.27/57.48 | (1454) all_1604_6 = all_1586_1
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (306) with all_1330_0, all_1604_6,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (851), (1196) gives:
% 291.27/57.48 | (1455) all_1604_6 = all_1330_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (306) with all_1581_13, all_1619_4,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (1150), (1204) gives:
% 291.27/57.48 | (1456) all_1619_4 = all_1581_13
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (306) with all_1419_3, all_1619_4,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (944), (1204) gives:
% 291.27/57.48 | (1457) all_1619_4 = all_1419_3
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (306) with all_1586_1, all_1628_3,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (1160), (1213) gives:
% 291.27/57.48 | (1458) all_1628_3 = all_1586_1
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (306) with all_1581_13, all_1628_3,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (1150), (1213) gives:
% 291.27/57.48 | (1459) all_1628_3 = all_1581_13
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (306) with all_1578_1, all_1628_3,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (1132), (1213) gives:
% 291.27/57.48 | (1460) all_1628_3 = all_1578_1
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_643_0, all_707_1, tc_RealDef_Oreal,
% 291.27/57.48 | simplifying with (324), (362) gives:
% 291.27/57.48 | (1461) all_707_1 = all_643_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_720_0, all_730_0, tc_RealDef_Oreal,
% 291.27/57.48 | simplifying with (368), (377) gives:
% 291.27/57.48 | (1462) all_730_0 = all_720_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_730_0, all_749_1, tc_RealDef_Oreal,
% 291.27/57.48 | simplifying with (377), (390) gives:
% 291.27/57.48 | (1463) all_749_1 = all_730_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_827_0, all_863_0, tc_RealDef_Oreal,
% 291.27/57.48 | simplifying with (422), (440) gives:
% 291.27/57.48 | (1464) all_863_0 = all_827_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_863_0, all_996_0, tc_RealDef_Oreal,
% 291.27/57.48 | simplifying with (440), (531) gives:
% 291.27/57.48 | (1465) all_996_0 = all_863_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_981_0, all_1046_4, tc_RealDef_Oreal,
% 291.27/57.48 | simplifying with (521), (572) gives:
% 291.27/57.48 | (1466) all_1046_4 = all_981_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_950_1, all_1046_4, tc_RealDef_Oreal,
% 291.27/57.48 | simplifying with (501), (572) gives:
% 291.27/57.48 | (1467) all_1046_4 = all_950_1
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_860_0, all_1046_4, tc_RealDef_Oreal,
% 291.27/57.48 | simplifying with (438), (572) gives:
% 291.27/57.48 | (1468) all_1046_4 = all_860_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_1046_4, all_1075_0,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (572), (606) gives:
% 291.27/57.48 | (1469) all_1075_0 = all_1046_4
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_1056_4, all_1081_1,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (588), (611) gives:
% 291.27/57.48 | (1470) all_1081_1 = all_1056_4
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_1081_1, all_1087_1,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (611), (616) gives:
% 291.27/57.48 | (1471) all_1087_1 = all_1081_1
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_1046_4, all_1099_0,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (572), (626) gives:
% 291.27/57.48 | (1472) all_1099_0 = all_1046_4
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_1087_1, all_1114_1,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (616), (634) gives:
% 291.27/57.48 | (1473) all_1114_1 = all_1087_1
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_780_0, all_1126_1, tc_RealDef_Oreal,
% 291.27/57.48 | simplifying with (406), (640) gives:
% 291.27/57.48 | (1474) all_1126_1 = all_780_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_720_0, all_1126_1, tc_RealDef_Oreal,
% 291.27/57.48 | simplifying with (368), (640) gives:
% 291.27/57.48 | (1475) all_1126_1 = all_720_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_707_1, all_1126_1, tc_RealDef_Oreal,
% 291.27/57.48 | simplifying with (362), (640) gives:
% 291.27/57.48 | (1476) all_1126_1 = all_707_1
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_633_0, all_1126_1, tc_RealDef_Oreal,
% 291.27/57.48 | simplifying with (317), (640) gives:
% 291.27/57.48 | (1477) all_1126_1 = all_633_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_839_0, all_1138_0, tc_RealDef_Oreal,
% 291.27/57.48 | simplifying with (428), (650) gives:
% 291.27/57.48 | (1478) all_1138_0 = all_839_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_798_0, all_1138_0, tc_RealDef_Oreal,
% 291.27/57.48 | simplifying with (414), (650) gives:
% 291.27/57.48 | (1479) all_1138_0 = all_798_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_780_0, all_1138_0, tc_RealDef_Oreal,
% 291.27/57.48 | simplifying with (406), (650) gives:
% 291.27/57.48 | (1480) all_1138_0 = all_780_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_1126_1, all_1169_0,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (640), (674) gives:
% 291.27/57.48 | (1481) all_1169_0 = all_1126_1
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_653_0, all_1169_0, tc_RealDef_Oreal,
% 291.27/57.48 | simplifying with (333), (674) gives:
% 291.27/57.48 | (1482) all_1169_0 = all_653_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_1075_0, all_1183_4,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (606), (690) gives:
% 291.27/57.48 | (1483) all_1183_4 = all_1075_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_993_0, all_1183_4, tc_RealDef_Oreal,
% 291.27/57.48 | simplifying with (529), (690) gives:
% 291.27/57.48 | (1484) all_1183_4 = all_993_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_1198_1, all_1204_2,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (701), (708) gives:
% 291.27/57.48 | (1485) all_1204_2 = all_1198_1
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_1204_2, all_1278_4,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (708), (799) gives:
% 291.27/57.48 | (1486) all_1278_4 = all_1204_2
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_1278_4, all_1302_1,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (799), (817) gives:
% 291.27/57.48 | (1487) all_1302_1 = all_1278_4
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_1225_0, all_1308_0,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (724), (820) gives:
% 291.27/57.48 | (1488) all_1308_0 = all_1225_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_1222_1, all_1308_0,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (722), (820) gives:
% 291.27/57.48 | (1489) all_1308_0 = all_1222_1
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_1114_1, all_1308_0,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (634), (820) gives:
% 291.27/57.48 | (1490) all_1308_0 = all_1114_1
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_647_0, all_1308_0, tc_RealDef_Oreal,
% 291.27/57.48 | simplifying with (329), (820) gives:
% 291.27/57.48 | (1491) all_1308_0 = all_647_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_1225_0, all_1354_4,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (724), (872) gives:
% 291.27/57.48 | (1492) all_1354_4 = all_1225_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_1354_4, all_1398_0,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (872), (925) gives:
% 291.27/57.48 | (1493) all_1398_0 = all_1354_4
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_1099_0, all_1431_4,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (626), (963) gives:
% 291.27/57.48 | (1494) all_1431_4 = all_1099_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_978_0, all_1431_4, tc_RealDef_Oreal,
% 291.27/57.48 | simplifying with (519), (963) gives:
% 291.27/57.48 | (1495) all_1431_4 = all_978_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_827_0, all_1455_0, tc_RealDef_Oreal,
% 291.27/57.48 | simplifying with (422), (991) gives:
% 291.27/57.48 | (1496) all_1455_0 = all_827_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_812_0, all_1455_0, tc_RealDef_Oreal,
% 291.27/57.48 | simplifying with (416), (991) gives:
% 291.27/57.48 | (1497) all_1455_0 = all_812_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_749_1, all_1455_0, tc_RealDef_Oreal,
% 291.27/57.48 | simplifying with (390), (991) gives:
% 291.27/57.48 | (1498) all_1455_0 = all_749_1
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_1398_0, all_1467_0,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (925), (1006) gives:
% 291.27/57.48 | (1499) all_1467_0 = all_1398_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_1302_1, all_1482_1,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (817), (1023) gives:
% 291.27/57.48 | (1500) all_1482_1 = all_1302_1
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_1482_1, all_1485_0,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (1023), (1025) gives:
% 291.27/57.48 | (1501) all_1485_0 = all_1482_1
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_1198_1, all_1503_1,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (701), (1046) gives:
% 291.27/57.48 | (1502) all_1503_1 = all_1198_1
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_1048_1, all_1503_1,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (575), (1046) gives:
% 291.27/57.48 | (1503) all_1503_1 = all_1048_1
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_996_0, all_1503_1, tc_RealDef_Oreal,
% 291.27/57.48 | simplifying with (531), (1046) gives:
% 291.27/57.48 | (1504) all_1503_1 = all_996_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_1467_0, all_1506_0,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (1006), (1049) gives:
% 291.27/57.48 | (1505) all_1506_0 = all_1467_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_1506_0, all_1518_0,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (1049), (1065) gives:
% 291.27/57.48 | (1506) all_1518_0 = all_1506_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_1056_4, all_1527_1,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (588), (1076) gives:
% 291.27/57.48 | (1507) all_1527_1 = all_1056_4
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_950_1, all_1527_1, tc_RealDef_Oreal,
% 291.27/57.48 | simplifying with (501), (1076) gives:
% 291.27/57.48 | (1508) all_1527_1 = all_950_1
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_866_0, all_1527_1, tc_RealDef_Oreal,
% 291.27/57.48 | simplifying with (443), (1076) gives:
% 291.27/57.48 | (1509) all_1527_1 = all_866_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_839_0, all_1527_1, tc_RealDef_Oreal,
% 291.27/57.48 | simplifying with (428), (1076) gives:
% 291.27/57.48 | (1510) all_1527_1 = all_839_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_1126_1, all_1578_5,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (640), (1133) gives:
% 291.27/57.48 | (1511) all_1578_5 = all_1126_1
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_1518_0, all_1589_0,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (1065), (1166) gives:
% 291.27/57.48 | (1512) all_1589_0 = all_1518_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_1219_1, all_1589_0,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (719), (1166) gives:
% 291.27/57.48 | (1513) all_1589_0 = all_1219_1
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_1578_5, all_1592_5,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (1133), (1173) gives:
% 291.27/57.48 | (1514) all_1592_5 = all_1578_5
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_631_0, all_1592_5, tc_RealDef_Oreal,
% 291.27/57.48 | simplifying with (315), (1173) gives:
% 291.27/57.48 | (1515) all_1592_5 = all_631_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_1485_0, all_1625_0,
% 291.27/57.48 | tc_RealDef_Oreal, simplifying with (1025), (1208) gives:
% 291.27/57.48 | (1516) all_1625_0 = all_1485_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_649_0, all_1625_0, tc_RealDef_Oreal,
% 291.27/57.48 | simplifying with (331), (1208) gives:
% 291.27/57.48 | (1517) all_1625_0 = all_649_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_668_0, all_676_0, tc_Nat_Onat,
% 291.27/57.48 | simplifying with (343), (347) gives:
% 291.27/57.48 | (1518) all_676_0 = all_668_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_676_0, all_679_0, tc_Nat_Onat,
% 291.27/57.48 | simplifying with (347), (349) gives:
% 291.27/57.48 | (1519) all_679_0 = all_676_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_679_0, all_681_0, tc_Nat_Onat,
% 291.27/57.48 | simplifying with (349), (351) gives:
% 291.27/57.48 | (1520) all_681_0 = all_679_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_681_0, all_687_0, tc_Nat_Onat,
% 291.27/57.48 | simplifying with (351), (355) gives:
% 291.27/57.48 | (1521) all_687_0 = all_681_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_687_0, all_694_0, tc_Nat_Onat,
% 291.27/57.48 | simplifying with (355), (357) gives:
% 291.27/57.48 | (1522) all_694_0 = all_687_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_737_0, all_746_0, tc_Nat_Onat,
% 291.27/57.48 | simplifying with (383), (387) gives:
% 291.27/57.48 | (1523) all_746_0 = all_737_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_746_0, all_757_0, tc_Nat_Onat,
% 291.27/57.48 | simplifying with (387), (394) gives:
% 291.27/57.48 | (1524) all_757_0 = all_746_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_757_0, all_777_0, tc_Nat_Onat,
% 291.27/57.48 | simplifying with (394), (404) gives:
% 291.27/57.48 | (1525) all_777_0 = all_757_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_795_0, all_889_0, tc_Nat_Onat,
% 291.27/57.48 | simplifying with (412), (451) gives:
% 291.27/57.48 | (1526) all_889_0 = all_795_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_790_0, all_889_0, tc_Nat_Onat,
% 291.27/57.48 | simplifying with (410), (451) gives:
% 291.27/57.48 | (1527) all_889_0 = all_790_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_777_0, all_889_0, tc_Nat_Onat,
% 291.27/57.48 | simplifying with (404), (451) gives:
% 291.27/57.48 | (1528) all_889_0 = all_777_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_737_0, all_910_1, tc_Nat_Onat,
% 291.27/57.48 | simplifying with (383), (464) gives:
% 291.27/57.48 | (1529) all_910_1 = all_737_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_713_0, all_910_1, tc_Nat_Onat,
% 291.27/57.48 | simplifying with (366), (464) gives:
% 291.27/57.48 | (1530) all_910_1 = all_713_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_694_0, all_910_1, tc_Nat_Onat,
% 291.27/57.48 | simplifying with (357), (464) gives:
% 291.27/57.48 | (1531) all_910_1 = all_694_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_913_0, all_926_1, tc_Nat_Onat,
% 291.27/57.48 | simplifying with (466), (477) gives:
% 291.27/57.48 | (1532) all_926_1 = all_913_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_845_0, all_926_1, tc_Nat_Onat,
% 291.27/57.48 | simplifying with (432), (477) gives:
% 291.27/57.48 | (1533) all_926_1 = all_845_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_795_0, all_926_1, tc_Nat_Onat,
% 291.27/57.48 | simplifying with (412), (477) gives:
% 291.27/57.48 | (1534) all_926_1 = all_795_0
% 291.27/57.48 |
% 291.27/57.48 | GROUND_INST: instantiating (308) with all_939_0, all_1020_0, tc_Nat_Onat,
% 291.27/57.48 | simplifying with (491), (545) gives:
% 291.27/57.49 | (1535) all_1020_0 = all_939_0
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_972_0, all_1029_0, tc_Nat_Onat,
% 291.27/57.49 | simplifying with (515), (552) gives:
% 291.27/57.49 | (1536) all_1029_0 = all_972_0
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_1029_0, all_1032_0, tc_Nat_Onat,
% 291.27/57.49 | simplifying with (552), (554) gives:
% 291.27/57.49 | (1537) all_1032_0 = all_1029_0
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_1020_0, all_1044_4, tc_Nat_Onat,
% 291.27/57.49 | simplifying with (545), (566) gives:
% 291.27/57.49 | (1538) all_1044_4 = all_1020_0
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_1032_0, all_1058_1, tc_Nat_Onat,
% 291.27/57.49 | simplifying with (554), (594) gives:
% 291.27/57.49 | (1539) all_1058_1 = all_1032_0
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_1058_1, all_1063_0, tc_Nat_Onat,
% 291.27/57.49 | simplifying with (594), (596) gives:
% 291.27/57.49 | (1540) all_1063_0 = all_1058_1
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_1058_1, all_1084_0, tc_Nat_Onat,
% 291.27/57.49 | simplifying with (594), (613) gives:
% 291.27/57.49 | (1541) all_1084_0 = all_1058_1
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_1063_0, all_1093_2, tc_Nat_Onat,
% 291.27/57.49 | simplifying with (596), (621) gives:
% 291.27/57.49 | (1542) all_1093_2 = all_1063_0
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_1029_0, all_1096_0, tc_Nat_Onat,
% 291.27/57.49 | simplifying with (552), (624) gives:
% 291.27/57.49 | (1543) all_1096_0 = all_1029_0
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_1096_0, all_1141_2, tc_Nat_Onat,
% 291.27/57.49 | simplifying with (624), (654) gives:
% 291.27/57.49 | (1544) all_1141_2 = all_1096_0
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_684_0, all_1151_1, tc_Nat_Onat,
% 291.27/57.49 | simplifying with (353), (660) gives:
% 291.27/57.49 | (1545) all_1151_1 = all_684_0
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_1084_0, all_1213_0, tc_Nat_Onat,
% 291.27/57.49 | simplifying with (613), (714) gives:
% 291.27/57.49 | (1546) all_1213_0 = all_1084_0
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_1141_2, all_1249_1, tc_Nat_Onat,
% 291.27/57.49 | simplifying with (654), (769) gives:
% 291.27/57.49 | (1547) all_1249_1 = all_1141_2
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_1151_1, all_1336_0, tc_Nat_Onat,
% 291.27/57.49 | simplifying with (660), (853) gives:
% 291.27/57.49 | (1548) all_1336_0 = all_1151_1
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_1213_0, all_1342_0, tc_Nat_Onat,
% 291.27/57.49 | simplifying with (714), (855) gives:
% 291.27/57.49 | (1549) all_1342_0 = all_1213_0
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_1342_0, all_1390_1, tc_Nat_Onat,
% 291.27/57.49 | simplifying with (855), (902) gives:
% 291.27/57.49 | (1550) all_1390_1 = all_1342_0
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_1390_1, all_1404_0, tc_Nat_Onat,
% 291.27/57.49 | simplifying with (902), (931) gives:
% 291.27/57.49 | (1551) all_1404_0 = all_1390_1
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_1363_0, all_1407_0, tc_Nat_Onat,
% 291.27/57.49 | simplifying with (881), (933) gives:
% 291.27/57.49 | (1552) all_1407_0 = all_1363_0
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_1044_4, all_1407_0, tc_Nat_Onat,
% 291.27/57.49 | simplifying with (566), (933) gives:
% 291.27/57.49 | (1553) all_1407_0 = all_1044_4
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_671_0, all_1407_0, tc_Nat_Onat,
% 291.27/57.49 | simplifying with (345), (933) gives:
% 291.27/57.49 | (1554) all_1407_0 = all_671_0
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_1404_0, all_1410_1, tc_Nat_Onat,
% 291.27/57.49 | simplifying with (931), (936) gives:
% 291.27/57.49 | (1555) all_1410_1 = all_1404_0
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_1249_1, all_1413_0, tc_Nat_Onat,
% 291.27/57.49 | simplifying with (769), (938) gives:
% 291.27/57.49 | (1556) all_1413_0 = all_1249_1
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_1336_0, all_1461_0, tc_Nat_Onat,
% 291.27/57.49 | simplifying with (853), (997) gives:
% 291.27/57.49 | (1557) all_1461_0 = all_1336_0
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_665_0, all_1461_0, tc_Nat_Onat,
% 291.27/57.49 | simplifying with (341), (997) gives:
% 291.27/57.49 | (1558) all_1461_0 = all_665_0
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_1413_0, all_1464_0, tc_Nat_Onat,
% 291.27/57.49 | simplifying with (938), (999) gives:
% 291.27/57.49 | (1559) all_1464_0 = all_1413_0
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_1375_0, all_1491_1, tc_Nat_Onat,
% 291.27/57.49 | simplifying with (893), (1033) gives:
% 291.27/57.49 | (1560) all_1491_1 = all_1375_0
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_1023_2, all_1491_1, tc_Nat_Onat,
% 291.27/57.49 | simplifying with (550), (1033) gives:
% 291.27/57.49 | (1561) all_1491_1 = all_1023_2
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_1473_3, all_1512_0, tc_Nat_Onat,
% 291.27/57.49 | simplifying with (1012), (1055) gives:
% 291.27/57.49 | (1562) all_1512_0 = all_1473_3
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_1464_0, all_1512_0, tc_Nat_Onat,
% 291.27/57.49 | simplifying with (999), (1055) gives:
% 291.27/57.49 | (1563) all_1512_0 = all_1464_0
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_1029_0, all_1545_2, tc_Nat_Onat,
% 291.27/57.49 | simplifying with (552), (1086) gives:
% 291.27/57.49 | (1564) all_1545_2 = all_1029_0
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_942_0, all_1545_2, tc_Nat_Onat,
% 291.27/57.49 | simplifying with (493), (1086) gives:
% 291.27/57.49 | (1565) all_1545_2 = all_942_0
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_913_0, all_1545_2, tc_Nat_Onat,
% 291.27/57.49 | simplifying with (466), (1086) gives:
% 291.27/57.49 | (1566) all_1545_2 = all_913_0
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_1512_0, all_1551_2, tc_Nat_Onat,
% 291.27/57.49 | simplifying with (1055), (1091) gives:
% 291.27/57.49 | (1567) all_1551_2 = all_1512_0
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_627_0, all_1551_2, tc_Nat_Onat,
% 291.27/57.49 | simplifying with (313), (1091) gives:
% 291.27/57.49 | (1568) all_1551_2 = all_627_0
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_1375_0, all_1560_1, tc_Nat_Onat,
% 291.27/57.49 | simplifying with (893), (1107) gives:
% 291.27/57.49 | (1569) all_1560_1 = all_1375_0
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_1195_1, all_1560_1, tc_Nat_Onat,
% 291.27/57.49 | simplifying with (698), (1107) gives:
% 291.27/57.49 | (1570) all_1560_1 = all_1195_1
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_1093_2, all_1560_1, tc_Nat_Onat,
% 291.27/57.49 | simplifying with (621), (1107) gives:
% 291.27/57.49 | (1571) all_1560_1 = all_1093_2
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_1446_2, all_1569_1, tc_Nat_Onat,
% 291.27/57.49 | simplifying with (978), (1120) gives:
% 291.27/57.49 | (1572) all_1569_1 = all_1446_2
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_1410_1, all_1569_1, tc_Nat_Onat,
% 291.27/57.49 | simplifying with (936), (1120) gives:
% 291.27/57.49 | (1573) all_1569_1 = all_1410_1
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_1051_2, all_1569_1, tc_Nat_Onat,
% 291.27/57.49 | simplifying with (578), (1120) gives:
% 291.27/57.49 | (1574) all_1569_1 = all_1051_2
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_1151_1, all_1572_0, tc_Nat_Onat,
% 291.27/57.49 | simplifying with (660), (1122) gives:
% 291.27/57.49 | (1575) all_1572_0 = all_1151_1
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_939_0, all_1572_0, tc_Nat_Onat,
% 291.27/57.49 | simplifying with (491), (1122) gives:
% 291.27/57.49 | (1576) all_1572_0 = all_939_0
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_668_0, all_1572_0, tc_Nat_Onat,
% 291.27/57.49 | simplifying with (343), (1122) gives:
% 291.27/57.49 | (1577) all_1572_0 = all_668_0
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_1572_0, all_1616_0, tc_Nat_Onat,
% 291.27/57.49 | simplifying with (1122), (1198) gives:
% 291.27/57.49 | (1578) all_1616_0 = all_1572_0
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_701_0, all_1616_0, tc_Nat_Onat,
% 291.27/57.49 | simplifying with (359), (1198) gives:
% 291.27/57.49 | (1579) all_1616_0 = all_701_0
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_641_0, all_645_0, tc_Int_Oint,
% 291.27/57.49 | simplifying with (322), (327) gives:
% 291.27/57.49 | (1580) all_645_0 = all_641_0
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_723_1, all_727_0, tc_Int_Oint,
% 291.27/57.49 | simplifying with (370), (375) gives:
% 291.27/57.49 | (1581) all_727_0 = all_723_1
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_740_1, all_847_0, tc_Int_Oint,
% 291.27/57.49 | simplifying with (385), (434) gives:
% 291.27/57.49 | (1582) all_847_0 = all_740_1
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with c_Int_OPls, all_847_0, tc_Int_Oint,
% 291.27/57.49 | simplifying with (92), (434) gives:
% 291.27/57.49 | (1583) all_847_0 = c_Int_OPls
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_847_0, all_929_3, tc_Int_Oint,
% 291.27/57.49 | simplifying with (434), (484) gives:
% 291.27/57.49 | (1584) all_929_3 = all_847_0
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_762_1, all_929_3, tc_Int_Oint,
% 291.27/57.49 | simplifying with (396), (484) gives:
% 291.27/57.49 | (1585) all_929_3 = all_762_1
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_727_0, all_929_3, tc_Int_Oint,
% 291.27/57.49 | simplifying with (375), (484) gives:
% 291.27/57.49 | (1586) all_929_3 = all_727_0
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_929_3, all_948_3, tc_Int_Oint,
% 291.27/57.49 | simplifying with (484), (498) gives:
% 291.27/57.49 | (1587) all_948_3 = all_929_3
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_948_3, all_975_0, tc_Int_Oint,
% 291.27/57.49 | simplifying with (498), (517) gives:
% 291.27/57.49 | (1588) all_975_0 = all_948_3
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_904_0, all_975_0, tc_Int_Oint,
% 291.27/57.49 | simplifying with (459), (517) gives:
% 291.27/57.49 | (1589) all_975_0 = all_904_0
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_847_0, all_1005_0, tc_Int_Oint,
% 291.27/57.49 | simplifying with (434), (537) gives:
% 291.27/57.49 | (1590) all_1005_0 = all_847_0
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_929_3, all_1008_1, tc_Int_Oint,
% 291.27/57.49 | simplifying with (484), (539) gives:
% 291.27/57.49 | (1591) all_1008_1 = all_929_3
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_733_1, all_1008_1, tc_Int_Oint,
% 291.27/57.49 | simplifying with (379), (539) gives:
% 291.27/57.49 | (1592) all_1008_1 = all_733_1
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_1005_0, all_1014_1, tc_Int_Oint,
% 291.27/57.49 | simplifying with (537), (541) gives:
% 291.27/57.49 | (1593) all_1014_1 = all_1005_0
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_723_1, all_1041_1, tc_Int_Oint,
% 291.27/57.49 | simplifying with (370), (559) gives:
% 291.27/57.49 | (1594) all_1041_1 = all_723_1
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_655_0, all_1041_1, tc_Int_Oint,
% 291.27/57.49 | simplifying with (335), (559) gives:
% 291.27/57.49 | (1595) all_1041_1 = all_655_0
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_645_0, all_1041_1, tc_Int_Oint,
% 291.27/57.49 | simplifying with (327), (559) gives:
% 291.27/57.49 | (1596) all_1041_1 = all_645_0
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_1014_1, all_1255_0, tc_Int_Oint,
% 291.27/57.49 | simplifying with (541), (771) gives:
% 291.27/57.49 | (1597) all_1255_0 = all_1014_1
% 291.27/57.49 |
% 291.27/57.49 | GROUND_INST: instantiating (308) with all_764_0, all_1255_0, tc_Int_Oint,
% 291.27/57.49 | simplifying with (398), (771) gives:
% 291.27/57.49 | (1598) all_1255_0 = all_764_0
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1262), (1263) imply:
% 291.27/57.49 | (1599) all_1557_2 = all_749_0
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1599) implies:
% 291.27/57.49 | (1600) all_1557_2 = all_749_0
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1430), (1431) imply:
% 291.27/57.49 | (1601) all_1548_0 = all_901_0
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1601) implies:
% 291.27/57.49 | (1602) all_1548_0 = all_901_0
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1390), (1392) imply:
% 291.27/57.49 | (1603) all_1494_3 = all_1163_2
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1390), (1391) imply:
% 291.27/57.49 | (1604) all_1494_3 = all_1422_3
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1387), (1389) imply:
% 291.27/57.49 | (1605) all_1592_2 = all_1557_6
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1387), (1388) imply:
% 291.27/57.49 | (1606) all_1592_2 = all_1563_3
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1459), (1460) imply:
% 291.27/57.49 | (1607) all_1581_13 = all_1578_1
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1607) implies:
% 291.27/57.49 | (1608) all_1581_13 = all_1578_1
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1458), (1460) imply:
% 291.27/57.49 | (1609) all_1586_1 = all_1578_1
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1609) implies:
% 291.27/57.49 | (1610) all_1586_1 = all_1578_1
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1516), (1517) imply:
% 291.27/57.49 | (1611) all_1485_0 = all_649_0
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1611) implies:
% 291.27/57.49 | (1612) all_1485_0 = all_649_0
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1281), (1282) imply:
% 291.27/57.49 | (1613) all_1090_0 = all_767_0
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1613) implies:
% 291.27/57.49 | (1614) all_1090_0 = all_767_0
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1385), (1386) imply:
% 291.27/57.49 | (1615) all_1595_3 = all_1129_2
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1615) implies:
% 291.27/57.49 | (1616) all_1595_3 = all_1129_2
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1428), (1429) imply:
% 291.27/57.49 | (1617) all_1592_4 = all_933_2
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1617) implies:
% 291.27/57.49 | (1618) all_1592_4 = all_933_2
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1456), (1457) imply:
% 291.27/57.49 | (1619) all_1581_13 = all_1419_3
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1619) implies:
% 291.27/57.49 | (1620) all_1581_13 = all_1419_3
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1578), (1579) imply:
% 291.27/57.49 | (1621) all_1572_0 = all_701_0
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1621) implies:
% 291.27/57.49 | (1622) all_1572_0 = all_701_0
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1426), (1427) imply:
% 291.27/57.49 | (1623) all_1581_12 = all_1002_0
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1623) implies:
% 291.27/57.49 | (1624) all_1581_12 = all_1002_0
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1383), (1384) imply:
% 291.27/57.49 | (1625) all_1589_3 = all_1017_0
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1625) implies:
% 291.27/57.49 | (1626) all_1589_3 = all_1017_0
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1454), (1455) imply:
% 291.27/57.49 | (1627) all_1586_1 = all_1330_0
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1627) implies:
% 291.27/57.49 | (1628) all_1586_1 = all_1330_0
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1452), (1453) imply:
% 291.27/57.49 | (1629) all_1589_4 = all_1143_0
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1629) implies:
% 291.27/57.49 | (1630) all_1589_4 = all_1143_0
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1381), (1382) imply:
% 291.27/57.49 | (1631) all_1183_3 = all_1180_2
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1631) implies:
% 291.27/57.49 | (1632) all_1183_3 = all_1180_2
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1380), (1382) imply:
% 291.27/57.49 | (1633) all_1296_2 = all_1180_2
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1633) implies:
% 291.27/57.49 | (1634) all_1296_2 = all_1180_2
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1423), (1424) imply:
% 291.27/57.49 | (1635) all_1503_0 = all_1482_0
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1635) implies:
% 291.27/57.49 | (1636) all_1503_0 = all_1482_0
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1424), (1425) imply:
% 291.27/57.49 | (1637) all_1482_0 = all_1452_0
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1379), (1616) imply:
% 291.27/57.49 | (1638) all_1581_11 = all_1129_2
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1638) implies:
% 291.27/57.49 | (1639) all_1581_11 = all_1129_2
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1605), (1606) imply:
% 291.27/57.49 | (1640) all_1563_3 = all_1557_6
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1640) implies:
% 291.27/57.49 | (1641) all_1563_3 = all_1557_6
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1447), (1450) imply:
% 291.27/57.49 | (1642) all_1581_13 = all_1431_3
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1642) implies:
% 291.27/57.49 | (1643) all_1581_13 = all_1431_3
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1449), (1450) imply:
% 291.27/57.49 | (1644) all_1455_4 = all_1431_3
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1644) implies:
% 291.27/57.49 | (1645) all_1455_4 = all_1431_3
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1448), (1450) imply:
% 291.27/57.49 | (1646) all_1467_4 = all_1431_3
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1646) implies:
% 291.27/57.49 | (1647) all_1467_4 = all_1431_3
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1450), (1451) imply:
% 291.27/57.49 | (1648) all_1431_3 = all_1398_4
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1422), (1618) imply:
% 291.27/57.49 | (1649) all_1311_7 = all_933_2
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1649) implies:
% 291.27/57.49 | (1650) all_1311_7 = all_933_2
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1514), (1515) imply:
% 291.27/57.49 | (1651) all_1578_5 = all_631_0
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1651) implies:
% 291.27/57.49 | (1652) all_1578_5 = all_631_0
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1512), (1513) imply:
% 291.27/57.49 | (1653) all_1518_0 = all_1219_1
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1653) implies:
% 291.27/57.49 | (1654) all_1518_0 = all_1219_1
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1378), (1626) imply:
% 291.27/57.49 | (1655) all_1583_2 = all_1017_0
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1655) implies:
% 291.27/57.49 | (1656) all_1583_2 = all_1017_0
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1446), (1630) imply:
% 291.27/57.49 | (1657) all_1440_3 = all_1143_0
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1657) implies:
% 291.27/57.49 | (1658) all_1440_3 = all_1143_0
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1610), (1628) imply:
% 291.27/57.49 | (1659) all_1578_1 = all_1330_0
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1659) implies:
% 291.27/57.49 | (1660) all_1578_1 = all_1330_0
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1375), (1376) imply:
% 291.27/57.49 | (1661) all_1044_1 = all_969_0
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1661) implies:
% 291.27/57.49 | (1662) all_1044_1 = all_969_0
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1376), (1377) imply:
% 291.27/57.49 | (1663) all_969_0 = all_957_2
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1374), (1656) imply:
% 291.27/57.49 | (1664) all_1578_4 = all_1017_0
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1664) implies:
% 291.27/57.49 | (1665) all_1578_4 = all_1017_0
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1259), (1260) imply:
% 291.27/57.49 | (1666) all_999_0 = all_984_0
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1666) implies:
% 291.27/57.49 | (1667) all_999_0 = all_984_0
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1260), (1261) imply:
% 291.27/57.49 | (1668) all_984_0 = all_963_0
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1373), (1639) imply:
% 291.27/57.49 | (1669) all_1575_2 = all_1129_2
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1669) implies:
% 291.27/57.49 | (1670) all_1575_2 = all_1129_2
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1421), (1624) imply:
% 291.27/57.49 | (1671) all_1566_4 = all_1002_0
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1671) implies:
% 291.27/57.49 | (1672) all_1566_4 = all_1002_0
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1608), (1620) imply:
% 291.27/57.49 | (1673) all_1578_1 = all_1419_3
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1673) implies:
% 291.27/57.49 | (1674) all_1578_1 = all_1419_3
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1620), (1643) imply:
% 291.27/57.49 | (1675) all_1431_3 = all_1419_3
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1675) implies:
% 291.27/57.49 | (1676) all_1431_3 = all_1419_3
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1660), (1674) imply:
% 291.27/57.49 | (1677) all_1419_3 = all_1330_0
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1677) implies:
% 291.27/57.49 | (1678) all_1419_3 = all_1330_0
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1372), (1665) imply:
% 291.27/57.49 | (1679) all_1542_2 = all_1017_0
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1679) implies:
% 291.27/57.49 | (1680) all_1542_2 = all_1017_0
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1511), (1652) imply:
% 291.27/57.49 | (1681) all_1126_1 = all_631_0
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1681) implies:
% 291.27/57.49 | (1682) all_1126_1 = all_631_0
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1371), (1670) imply:
% 291.27/57.49 | (1683) all_1366_2 = all_1129_2
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1683) implies:
% 291.27/57.49 | (1684) all_1366_2 = all_1129_2
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1575), (1622) imply:
% 291.27/57.49 | (1685) all_1151_1 = all_701_0
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1685) implies:
% 291.27/57.49 | (1686) all_1151_1 = all_701_0
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1577), (1622) imply:
% 291.27/57.49 | (1687) all_701_0 = all_668_0
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1576), (1622) imply:
% 291.27/57.49 | (1688) all_939_0 = all_701_0
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1688) implies:
% 291.27/57.49 | (1689) all_939_0 = all_701_0
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1572), (1573) imply:
% 291.27/57.49 | (1690) all_1446_2 = all_1410_1
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1572), (1574) imply:
% 291.27/57.49 | (1691) all_1446_2 = all_1051_2
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1368), (1369) imply:
% 291.27/57.49 | (1692) all_1246_0 = all_1175_1
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1692) implies:
% 291.27/57.49 | (1693) all_1246_0 = all_1175_1
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1369), (1370) imply:
% 291.27/57.49 | (1694) all_1175_1 = all_1166_2
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1420), (1672) imply:
% 291.27/57.49 | (1695) all_1557_7 = all_1002_0
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1695) implies:
% 291.27/57.49 | (1696) all_1557_7 = all_1002_0
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1367), (1641) imply:
% 291.27/57.49 | (1697) all_1557_6 = all_1264_0
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1364), (1641) imply:
% 291.27/57.49 | (1698) all_1557_6 = all_1449_2
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1365), (1641) imply:
% 291.27/57.49 | (1699) all_1557_6 = all_1366_2
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1366), (1641) imply:
% 291.27/57.49 | (1700) all_1557_6 = all_1354_2
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1569), (1570) imply:
% 291.27/57.49 | (1701) all_1375_0 = all_1195_1
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1701) implies:
% 291.27/57.49 | (1702) all_1375_0 = all_1195_1
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1570), (1571) imply:
% 291.27/57.49 | (1703) all_1195_1 = all_1093_2
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1444), (1445) imply:
% 291.27/57.49 | (1704) all_1518_4 = all_1428_3
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1704) implies:
% 291.27/57.49 | (1705) all_1518_4 = all_1428_3
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1258), (1600) imply:
% 291.27/57.49 | (1706) all_1536_1 = all_749_0
% 291.27/57.49 |
% 291.27/57.49 | SIMP: (1706) implies:
% 291.27/57.49 | (1707) all_1536_1 = all_749_0
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1697), (1698) imply:
% 291.27/57.49 | (1708) all_1449_2 = all_1264_0
% 291.27/57.49 |
% 291.27/57.49 | COMBINE_EQS: (1698), (1700) imply:
% 291.27/57.50 | (1709) all_1449_2 = all_1354_2
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1698), (1699) imply:
% 291.27/57.50 | (1710) all_1449_2 = all_1366_2
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1419), (1696) imply:
% 291.27/57.50 | (1711) all_1322_0 = all_1002_0
% 291.27/57.50 |
% 291.27/57.50 | SIMP: (1711) implies:
% 291.27/57.50 | (1712) all_1322_0 = all_1002_0
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1362), (1363) imply:
% 291.27/57.50 | (1713) all_1398_3 = all_845_2
% 291.27/57.50 |
% 291.27/57.50 | SIMP: (1713) implies:
% 291.27/57.50 | (1714) all_1398_3 = all_845_2
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1567), (1568) imply:
% 291.27/57.50 | (1715) all_1512_0 = all_627_0
% 291.27/57.50 |
% 291.27/57.50 | SIMP: (1715) implies:
% 291.27/57.50 | (1716) all_1512_0 = all_627_0
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1418), (1602) imply:
% 291.27/57.50 | (1717) all_1536_0 = all_901_0
% 291.27/57.50 |
% 291.27/57.50 | SIMP: (1717) implies:
% 291.27/57.50 | (1718) all_1536_0 = all_901_0
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1564), (1565) imply:
% 291.27/57.50 | (1719) all_1029_0 = all_942_0
% 291.27/57.50 |
% 291.27/57.50 | SIMP: (1719) implies:
% 291.27/57.50 | (1720) all_1029_0 = all_942_0
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1565), (1566) imply:
% 291.27/57.50 | (1721) all_942_0 = all_913_0
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1361), (1680) imply:
% 291.27/57.50 | (1722) all_1497_3 = all_1017_0
% 291.27/57.50 |
% 291.27/57.50 | SIMP: (1722) implies:
% 291.27/57.50 | (1723) all_1497_3 = all_1017_0
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1417), (1718) imply:
% 291.27/57.50 | (1724) all_1527_0 = all_901_0
% 291.27/57.50 |
% 291.27/57.50 | SIMP: (1724) implies:
% 291.27/57.50 | (1725) all_1527_0 = all_901_0
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1257), (1707) imply:
% 291.27/57.50 | (1726) all_1488_0 = all_749_0
% 291.27/57.50 |
% 291.27/57.50 | SIMP: (1726) implies:
% 291.27/57.50 | (1727) all_1488_0 = all_749_0
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1416), (1725) imply:
% 291.27/57.50 | (1728) all_1503_0 = all_901_0
% 291.27/57.50 |
% 291.27/57.50 | SIMP: (1728) implies:
% 291.27/57.50 | (1729) all_1503_0 = all_901_0
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1508), (1509) imply:
% 291.27/57.50 | (1730) all_950_1 = all_866_0
% 291.27/57.50 |
% 291.27/57.50 | SIMP: (1730) implies:
% 291.27/57.50 | (1731) all_950_1 = all_866_0
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1507), (1509) imply:
% 291.27/57.50 | (1732) all_1056_4 = all_866_0
% 291.27/57.50 |
% 291.27/57.50 | SIMP: (1732) implies:
% 291.27/57.50 | (1733) all_1056_4 = all_866_0
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1509), (1510) imply:
% 291.27/57.50 | (1734) all_866_0 = all_839_0
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1358), (1360) imply:
% 291.27/57.50 | (1735) all_1518_3 = all_1325_2
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1358), (1359) imply:
% 291.27/57.50 | (1736) all_1518_3 = all_1393_2
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1356), (1357) imply:
% 291.27/57.50 | (1737) all_1105_0 = all_725_0
% 291.27/57.50 |
% 291.27/57.50 | SIMP: (1737) implies:
% 291.27/57.50 | (1738) all_1105_0 = all_725_0
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1506), (1654) imply:
% 291.27/57.50 | (1739) all_1506_0 = all_1219_1
% 291.27/57.50 |
% 291.27/57.50 | SIMP: (1739) implies:
% 291.27/57.50 | (1740) all_1506_0 = all_1219_1
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1735), (1736) imply:
% 291.27/57.50 | (1741) all_1393_2 = all_1325_2
% 291.27/57.50 |
% 291.27/57.50 | SIMP: (1741) implies:
% 291.27/57.50 | (1742) all_1393_2 = all_1325_2
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1443), (1705) imply:
% 291.27/57.50 | (1743) all_1488_4 = all_1428_3
% 291.27/57.50 |
% 291.27/57.50 | SIMP: (1743) implies:
% 291.27/57.50 | (1744) all_1488_4 = all_1428_3
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1354), (1355) imply:
% 291.27/57.50 | (1745) all_1239_5 = all_1236_2
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1353), (1354) imply:
% 291.27/57.50 | (1746) all_1241_2 = all_1239_5
% 291.27/57.50 |
% 291.27/57.50 | SIMP: (1746) implies:
% 291.27/57.50 | (1747) all_1241_2 = all_1239_5
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1562), (1716) imply:
% 291.27/57.50 | (1748) all_1473_3 = all_627_0
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1562), (1563) imply:
% 291.27/57.50 | (1749) all_1473_3 = all_1464_0
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1350), (1351) imply:
% 291.27/57.50 | (1750) all_945_0 = all_929_2
% 291.27/57.50 |
% 291.27/57.50 | SIMP: (1750) implies:
% 291.27/57.50 | (1751) all_945_0 = all_929_2
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1351), (1352) imply:
% 291.27/57.50 | (1752) all_929_2 = all_916_1
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1505), (1740) imply:
% 291.27/57.50 | (1753) all_1467_0 = all_1219_1
% 291.27/57.50 |
% 291.27/57.50 | SIMP: (1753) implies:
% 291.27/57.50 | (1754) all_1467_0 = all_1219_1
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1413), (1414) imply:
% 291.27/57.50 | (1755) all_1239_6 = all_1228_5
% 291.27/57.50 |
% 291.27/57.50 | SIMP: (1755) implies:
% 291.27/57.50 | (1756) all_1239_6 = all_1228_5
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1414), (1415) imply:
% 291.27/57.50 | (1757) all_1228_5 = all_1222_0
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1636), (1729) imply:
% 291.27/57.50 | (1758) all_1482_0 = all_901_0
% 291.27/57.50 |
% 291.27/57.50 | SIMP: (1758) implies:
% 291.27/57.50 | (1759) all_1482_0 = all_901_0
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1502), (1503) imply:
% 291.27/57.50 | (1760) all_1198_1 = all_1048_1
% 291.27/57.50 |
% 291.27/57.50 | SIMP: (1760) implies:
% 291.27/57.50 | (1761) all_1198_1 = all_1048_1
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1503), (1504) imply:
% 291.27/57.50 | (1762) all_1048_1 = all_996_0
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1278), (1279) imply:
% 291.27/57.50 | (1763) all_1316_0 = all_725_1
% 291.27/57.50 |
% 291.27/57.50 | SIMP: (1763) implies:
% 291.27/57.50 | (1764) all_1316_0 = all_725_1
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1349), (1723) imply:
% 291.27/57.50 | (1765) all_1479_2 = all_1017_0
% 291.27/57.50 |
% 291.27/57.50 | SIMP: (1765) implies:
% 291.27/57.50 | (1766) all_1479_2 = all_1017_0
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1603), (1604) imply:
% 291.27/57.50 | (1767) all_1422_3 = all_1163_2
% 291.27/57.50 |
% 291.27/57.50 | SIMP: (1767) implies:
% 291.27/57.50 | (1768) all_1422_3 = all_1163_2
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1560), (1561) imply:
% 291.27/57.50 | (1769) all_1375_0 = all_1023_2
% 291.27/57.50 |
% 291.27/57.50 | SIMP: (1769) implies:
% 291.27/57.50 | (1770) all_1375_0 = all_1023_2
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1256), (1727) imply:
% 291.27/57.50 | (1771) all_1396_0 = all_749_0
% 291.27/57.50 |
% 291.27/57.50 | SIMP: (1771) implies:
% 291.27/57.50 | (1772) all_1396_0 = all_749_0
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1347), (1348) imply:
% 291.27/57.50 | (1773) all_1348_2 = all_735_1
% 291.27/57.50 |
% 291.27/57.50 | SIMP: (1773) implies:
% 291.27/57.50 | (1774) all_1348_2 = all_735_1
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1442), (1744) imply:
% 291.27/57.50 | (1775) all_1455_4 = all_1428_3
% 291.27/57.50 |
% 291.27/57.50 | SIMP: (1775) implies:
% 291.27/57.50 | (1776) all_1455_4 = all_1428_3
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1501), (1612) imply:
% 291.27/57.50 | (1777) all_1482_1 = all_649_0
% 291.27/57.50 |
% 291.27/57.50 | SIMP: (1777) implies:
% 291.27/57.50 | (1778) all_1482_1 = all_649_0
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1637), (1759) imply:
% 291.27/57.50 | (1779) all_1452_0 = all_901_0
% 291.27/57.50 |
% 291.27/57.50 | SIMP: (1779) implies:
% 291.27/57.50 | (1780) all_1452_0 = all_901_0
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1500), (1778) imply:
% 291.27/57.50 | (1781) all_1302_1 = all_649_0
% 291.27/57.50 |
% 291.27/57.50 | SIMP: (1781) implies:
% 291.27/57.50 | (1782) all_1302_1 = all_649_0
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1346), (1766) imply:
% 291.27/57.50 | (1783) all_1455_3 = all_1017_0
% 291.27/57.50 |
% 291.27/57.50 | SIMP: (1783) implies:
% 291.27/57.50 | (1784) all_1455_3 = all_1017_0
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1344), (1345) imply:
% 291.27/57.50 | (1785) all_1178_3 = all_1046_3
% 291.27/57.50 |
% 291.27/57.50 | SIMP: (1785) implies:
% 291.27/57.50 | (1786) all_1178_3 = all_1046_3
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1748), (1749) imply:
% 291.27/57.50 | (1787) all_1464_0 = all_627_0
% 291.27/57.50 |
% 291.27/57.50 | SIMP: (1787) implies:
% 291.27/57.50 | (1788) all_1464_0 = all_627_0
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1342), (1343) imply:
% 291.27/57.50 | (1789) all_1422_3 = all_1419_2
% 291.27/57.50 |
% 291.27/57.50 | SIMP: (1789) implies:
% 291.27/57.50 | (1790) all_1422_3 = all_1419_2
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1499), (1754) imply:
% 291.27/57.50 | (1791) all_1398_0 = all_1219_1
% 291.27/57.50 |
% 291.27/57.50 | SIMP: (1791) implies:
% 291.27/57.50 | (1792) all_1398_0 = all_1219_1
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1340), (1341) imply:
% 291.27/57.50 | (1793) all_1396_6 = all_868_0
% 291.27/57.50 |
% 291.27/57.50 | SIMP: (1793) implies:
% 291.27/57.50 | (1794) all_1396_6 = all_868_0
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1440), (1441) imply:
% 291.27/57.50 | (1795) all_1357_3 = all_1354_3
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1440), (1647) imply:
% 291.27/57.50 | (1796) all_1431_3 = all_1357_3
% 291.27/57.50 |
% 291.27/57.50 | SIMP: (1796) implies:
% 291.27/57.50 | (1797) all_1431_3 = all_1357_3
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1559), (1788) imply:
% 291.27/57.50 | (1798) all_1413_0 = all_627_0
% 291.27/57.50 |
% 291.27/57.50 | SIMP: (1798) implies:
% 291.27/57.50 | (1799) all_1413_0 = all_627_0
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1557), (1558) imply:
% 291.27/57.50 | (1800) all_1336_0 = all_665_0
% 291.27/57.50 |
% 291.27/57.50 | SIMP: (1800) implies:
% 291.27/57.50 | (1801) all_1336_0 = all_665_0
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1337), (1339) imply:
% 291.27/57.50 | (1802) all_1233_3 = all_1148_0
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1337), (1338) imply:
% 291.27/57.50 | (1803) all_1233_3 = all_1166_2
% 291.27/57.50 |
% 291.27/57.50 | COMBINE_EQS: (1336), (1337) imply:
% 291.51/57.50 | (1804) all_1261_2 = all_1233_3
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1804) implies:
% 291.51/57.50 | (1805) all_1261_2 = all_1233_3
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1496), (1497) imply:
% 291.51/57.50 | (1806) all_827_0 = all_812_0
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1806) implies:
% 291.51/57.50 | (1807) all_827_0 = all_812_0
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1497), (1498) imply:
% 291.51/57.50 | (1808) all_812_0 = all_749_1
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1335), (1784) imply:
% 291.51/57.50 | (1809) all_1443_2 = all_1017_0
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1809) implies:
% 291.51/57.50 | (1810) all_1443_2 = all_1017_0
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1645), (1776) imply:
% 291.51/57.50 | (1811) all_1431_3 = all_1428_3
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1811) implies:
% 291.51/57.50 | (1812) all_1431_3 = all_1428_3
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1412), (1780) imply:
% 291.51/57.50 | (1813) all_1387_0 = all_901_0
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1813) implies:
% 291.51/57.50 | (1814) all_1387_0 = all_901_0
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1708), (1709) imply:
% 291.51/57.50 | (1815) all_1354_2 = all_1264_0
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1709), (1710) imply:
% 291.51/57.50 | (1816) all_1366_2 = all_1354_2
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1816) implies:
% 291.51/57.50 | (1817) all_1366_2 = all_1354_2
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1276), (1277) imply:
% 291.51/57.50 | (1818) all_1204_0 = all_1096_1
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1818) implies:
% 291.51/57.50 | (1819) all_1204_0 = all_1096_1
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1690), (1691) imply:
% 291.51/57.50 | (1820) all_1410_1 = all_1051_2
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1820) implies:
% 291.51/57.50 | (1821) all_1410_1 = all_1051_2
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1334), (1810) imply:
% 291.51/57.50 | (1822) all_1440_2 = all_1017_0
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1822) implies:
% 291.51/57.50 | (1823) all_1440_2 = all_1017_0
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1333), (1823) imply:
% 291.51/57.50 | (1824) all_1434_2 = all_1017_0
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1824) implies:
% 291.51/57.50 | (1825) all_1434_2 = all_1017_0
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1439), (1658) imply:
% 291.51/57.50 | (1826) all_1396_8 = all_1143_0
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1826) implies:
% 291.51/57.50 | (1827) all_1396_8 = all_1143_0
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1332), (1825) imply:
% 291.51/57.50 | (1828) all_1431_2 = all_1017_0
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1828) implies:
% 291.51/57.50 | (1829) all_1431_2 = all_1017_0
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1331), (1829) imply:
% 291.51/57.50 | (1830) all_1428_2 = all_1017_0
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1830) implies:
% 291.51/57.50 | (1831) all_1428_2 = all_1017_0
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1648), (1812) imply:
% 291.51/57.50 | (1832) all_1428_3 = all_1398_4
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1797), (1812) imply:
% 291.51/57.50 | (1833) all_1428_3 = all_1357_3
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1676), (1812) imply:
% 291.51/57.50 | (1834) all_1428_3 = all_1419_3
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1494), (1495) imply:
% 291.51/57.50 | (1835) all_1099_0 = all_978_0
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1835) implies:
% 291.51/57.50 | (1836) all_1099_0 = all_978_0
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1330), (1831) imply:
% 291.51/57.50 | (1837) all_1425_3 = all_1017_0
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1837) implies:
% 291.51/57.50 | (1838) all_1425_3 = all_1017_0
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1832), (1834) imply:
% 291.51/57.50 | (1839) all_1419_3 = all_1398_4
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1839) implies:
% 291.51/57.50 | (1840) all_1419_3 = all_1398_4
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1832), (1833) imply:
% 291.51/57.50 | (1841) all_1398_4 = all_1357_3
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1329), (1838) imply:
% 291.51/57.50 | (1842) all_1401_2 = all_1017_0
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1842) implies:
% 291.51/57.50 | (1843) all_1401_2 = all_1017_0
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1328), (1790) imply:
% 291.51/57.50 | (1844) all_1419_2 = all_1351_2
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1768), (1790) imply:
% 291.51/57.50 | (1845) all_1419_2 = all_1163_2
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1844), (1845) imply:
% 291.51/57.50 | (1846) all_1351_2 = all_1163_2
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1846) implies:
% 291.51/57.50 | (1847) all_1351_2 = all_1163_2
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1678), (1840) imply:
% 291.51/57.50 | (1848) all_1398_4 = all_1330_0
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1848) implies:
% 291.51/57.50 | (1849) all_1398_4 = all_1330_0
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1556), (1799) imply:
% 291.51/57.50 | (1850) all_1249_1 = all_627_0
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1850) implies:
% 291.51/57.50 | (1851) all_1249_1 = all_627_0
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1555), (1821) imply:
% 291.51/57.50 | (1852) all_1404_0 = all_1051_2
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1852) implies:
% 291.51/57.50 | (1853) all_1404_0 = all_1051_2
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1552), (1554) imply:
% 291.51/57.50 | (1854) all_1363_0 = all_671_0
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1552), (1553) imply:
% 291.51/57.50 | (1855) all_1363_0 = all_1044_4
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1551), (1853) imply:
% 291.51/57.50 | (1856) all_1390_1 = all_1051_2
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1856) implies:
% 291.51/57.50 | (1857) all_1390_1 = all_1051_2
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1327), (1843) imply:
% 291.51/57.50 | (1858) all_1384_2 = all_1017_0
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1858) implies:
% 291.51/57.50 | (1859) all_1384_2 = all_1017_0
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1493), (1792) imply:
% 291.51/57.50 | (1860) all_1354_4 = all_1219_1
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1860) implies:
% 291.51/57.50 | (1861) all_1354_4 = all_1219_1
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1326), (1714) imply:
% 291.51/57.50 | (1862) all_1105_0 = all_845_2
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1862) implies:
% 291.51/57.50 | (1863) all_1105_0 = all_845_2
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1841), (1849) imply:
% 291.51/57.50 | (1864) all_1357_3 = all_1330_0
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1864) implies:
% 291.51/57.50 | (1865) all_1357_3 = all_1330_0
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1255), (1772) imply:
% 291.51/57.50 | (1866) all_1369_4 = all_749_0
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1866) implies:
% 291.51/57.50 | (1867) all_1369_4 = all_749_0
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1325), (1794) imply:
% 291.51/57.50 | (1868) all_1038_1 = all_868_0
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1868) implies:
% 291.51/57.50 | (1869) all_1038_1 = all_868_0
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1438), (1827) imply:
% 291.51/57.50 | (1870) all_1369_3 = all_1143_0
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1870) implies:
% 291.51/57.50 | (1871) all_1369_3 = all_1143_0
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1324), (1742) imply:
% 291.51/57.50 | (1872) all_1325_2 = all_1058_4
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1323), (1742) imply:
% 291.51/57.50 | (1873) all_1325_2 = all_1154_2
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1550), (1857) imply:
% 291.51/57.50 | (1874) all_1342_0 = all_1051_2
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1874) implies:
% 291.51/57.50 | (1875) all_1342_0 = all_1051_2
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1411), (1814) imply:
% 291.51/57.50 | (1876) all_1360_0 = all_901_0
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1876) implies:
% 291.51/57.50 | (1877) all_1360_0 = all_901_0
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1322), (1859) imply:
% 291.51/57.50 | (1878) all_1369_2 = all_1017_0
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1878) implies:
% 291.51/57.50 | (1879) all_1369_2 = all_1017_0
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1702), (1770) imply:
% 291.51/57.50 | (1880) all_1195_1 = all_1023_2
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1880) implies:
% 291.51/57.50 | (1881) all_1195_1 = all_1023_2
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1321), (1879) imply:
% 291.51/57.50 | (1882) all_1357_2 = all_1017_0
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1882) implies:
% 291.51/57.50 | (1883) all_1357_2 = all_1017_0
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1437), (1871) imply:
% 291.51/57.50 | (1884) all_1345_0 = all_1143_0
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1884) implies:
% 291.51/57.50 | (1885) all_1345_0 = all_1143_0
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1254), (1867) imply:
% 291.51/57.50 | (1886) all_1328_0 = all_749_0
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1886) implies:
% 291.51/57.50 | (1887) all_1328_0 = all_749_0
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1684), (1817) imply:
% 291.51/57.50 | (1888) all_1354_2 = all_1129_2
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1888) implies:
% 291.51/57.50 | (1889) all_1354_2 = all_1129_2
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1854), (1855) imply:
% 291.51/57.50 | (1890) all_1044_4 = all_671_0
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1890) implies:
% 291.51/57.50 | (1891) all_1044_4 = all_671_0
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1410), (1877) imply:
% 291.51/57.50 | (1892) all_1328_7 = all_901_0
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1892) implies:
% 291.51/57.50 | (1893) all_1328_7 = all_901_0
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1320), (1883) imply:
% 291.51/57.50 | (1894) all_1328_6 = all_1017_0
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1894) implies:
% 291.51/57.50 | (1895) all_1328_6 = all_1017_0
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1795), (1865) imply:
% 291.51/57.50 | (1896) all_1354_3 = all_1330_0
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1896) implies:
% 291.51/57.50 | (1897) all_1354_3 = all_1330_0
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1815), (1889) imply:
% 291.51/57.50 | (1898) all_1264_0 = all_1129_2
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1898) implies:
% 291.51/57.50 | (1899) all_1264_0 = all_1129_2
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1436), (1897) imply:
% 291.51/57.50 | (1900) all_1351_3 = all_1330_0
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1900) implies:
% 291.51/57.50 | (1901) all_1351_3 = all_1330_0
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1492), (1861) imply:
% 291.51/57.50 | (1902) all_1225_0 = all_1219_1
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1902) implies:
% 291.51/57.50 | (1903) all_1225_0 = all_1219_1
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1319), (1847) imply:
% 291.51/57.50 | (1904) all_1299_2 = all_1163_2
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1904) implies:
% 291.51/57.50 | (1905) all_1299_2 = all_1163_2
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1435), (1901) imply:
% 291.51/57.50 | (1906) all_1345_0 = all_1330_0
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1906) implies:
% 291.51/57.50 | (1907) all_1345_0 = all_1330_0
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1318), (1774) imply:
% 291.51/57.50 | (1908) all_1244_5 = all_735_1
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1908) implies:
% 291.51/57.50 | (1909) all_1244_5 = all_735_1
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1434), (1907) imply:
% 291.51/57.50 | (1910) all_1330_0 = all_1278_3
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1885), (1907) imply:
% 291.51/57.50 | (1911) all_1330_0 = all_1143_0
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1549), (1875) imply:
% 291.51/57.50 | (1912) all_1213_0 = all_1051_2
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1912) implies:
% 291.51/57.50 | (1913) all_1213_0 = all_1051_2
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1548), (1801) imply:
% 291.51/57.50 | (1914) all_1151_1 = all_665_0
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1914) implies:
% 291.51/57.50 | (1915) all_1151_1 = all_665_0
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1910), (1911) imply:
% 291.51/57.50 | (1916) all_1278_3 = all_1143_0
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1916) implies:
% 291.51/57.50 | (1917) all_1278_3 = all_1143_0
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1253), (1887) imply:
% 291.51/57.50 | (1918) all_1311_0 = all_749_0
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1918) implies:
% 291.51/57.50 | (1919) all_1311_0 = all_749_0
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1317), (1895) imply:
% 291.51/57.50 | (1920) all_1311_6 = all_1017_0
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1920) implies:
% 291.51/57.50 | (1921) all_1311_6 = all_1017_0
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1409), (1893) imply:
% 291.51/57.50 | (1922) all_1284_0 = all_901_0
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1922) implies:
% 291.51/57.50 | (1923) all_1284_0 = all_901_0
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1872), (1873) imply:
% 291.51/57.50 | (1924) all_1154_2 = all_1058_4
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1924) implies:
% 291.51/57.50 | (1925) all_1154_2 = all_1058_4
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1408), (1712) imply:
% 291.51/57.50 | (1926) all_1302_0 = all_1002_0
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1926) implies:
% 291.51/57.50 | (1927) all_1302_0 = all_1002_0
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1275), (1764) imply:
% 291.51/57.50 | (1928) all_1313_1 = all_725_1
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1928) implies:
% 291.51/57.50 | (1929) all_1313_1 = all_725_1
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1274), (1929) imply:
% 291.51/57.50 | (1930) all_1249_0 = all_725_1
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1930) implies:
% 291.51/57.50 | (1931) all_1249_0 = all_725_1
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1252), (1919) imply:
% 291.51/57.50 | (1932) all_1308_1 = all_749_0
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1932) implies:
% 291.51/57.50 | (1933) all_1308_1 = all_749_0
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1316), (1921) imply:
% 291.51/57.50 | (1934) all_1293_1 = all_1017_0
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1934) implies:
% 291.51/57.50 | (1935) all_1293_1 = all_1017_0
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1407), (1650) imply:
% 291.51/57.50 | (1936) all_990_0 = all_933_2
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1936) implies:
% 291.51/57.50 | (1937) all_990_0 = all_933_2
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1488), (1489) imply:
% 291.51/57.50 | (1938) all_1225_0 = all_1222_1
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1938) implies:
% 291.51/57.50 | (1939) all_1225_0 = all_1222_1
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1489), (1491) imply:
% 291.51/57.50 | (1940) all_1222_1 = all_647_0
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1489), (1490) imply:
% 291.51/57.50 | (1941) all_1222_1 = all_1114_1
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1251), (1933) imply:
% 291.51/57.50 | (1942) all_1244_0 = all_749_0
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1942) implies:
% 291.51/57.50 | (1943) all_1244_0 = all_749_0
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1406), (1927) imply:
% 291.51/57.50 | (1944) all_1219_0 = all_1002_0
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1944) implies:
% 291.51/57.50 | (1945) all_1219_0 = all_1002_0
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1487), (1782) imply:
% 291.51/57.50 | (1946) all_1278_4 = all_649_0
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1946) implies:
% 291.51/57.50 | (1947) all_1278_4 = all_649_0
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1315), (1905) imply:
% 291.51/57.50 | (1948) all_1261_2 = all_1163_2
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1948) implies:
% 291.51/57.50 | (1949) all_1261_2 = all_1163_2
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1314), (1634) imply:
% 291.51/57.50 | (1950) all_1180_2 = all_1132_2
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1950) implies:
% 291.51/57.50 | (1951) all_1180_2 = all_1132_2
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1313), (1314) imply:
% 291.51/57.50 | (1952) all_1148_0 = all_1132_2
% 291.51/57.50 |
% 291.51/57.50 | SIMP: (1952) implies:
% 291.51/57.50 | (1953) all_1148_0 = all_1132_2
% 291.51/57.50 |
% 291.51/57.50 | COMBINE_EQS: (1312), (1935) imply:
% 291.51/57.50 | (1954) all_1278_2 = all_1017_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (1954) implies:
% 291.51/57.51 | (1955) all_1278_2 = all_1017_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1405), (1923) imply:
% 291.51/57.51 | (1956) all_1270_5 = all_901_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (1956) implies:
% 291.51/57.51 | (1957) all_1270_5 = all_901_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1311), (1955) imply:
% 291.51/57.51 | (1958) all_1272_0 = all_1017_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (1958) implies:
% 291.51/57.51 | (1959) all_1272_0 = all_1017_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1433), (1917) imply:
% 291.51/57.51 | (1960) all_1261_3 = all_1143_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (1960) implies:
% 291.51/57.51 | (1961) all_1261_3 = all_1143_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1486), (1947) imply:
% 291.51/57.51 | (1962) all_1204_2 = all_649_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (1962) implies:
% 291.51/57.51 | (1963) all_1204_2 = all_649_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1310), (1959) imply:
% 291.51/57.51 | (1964) all_1270_4 = all_1017_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (1964) implies:
% 291.51/57.51 | (1965) all_1270_4 = all_1017_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1309), (1965) imply:
% 291.51/57.51 | (1966) all_1241_2 = all_1017_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (1966) implies:
% 291.51/57.51 | (1967) all_1241_2 = all_1017_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1404), (1957) imply:
% 291.51/57.51 | (1968) all_1267_0 = all_901_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (1968) implies:
% 291.51/57.51 | (1969) all_1267_0 = all_901_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1403), (1969) imply:
% 291.51/57.51 | (1970) all_1244_6 = all_901_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (1970) implies:
% 291.51/57.51 | (1971) all_1244_6 = all_901_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1308), (1899) imply:
% 291.51/57.51 | (1972) all_1258_0 = all_1129_2
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (1972) implies:
% 291.51/57.51 | (1973) all_1258_0 = all_1129_2
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1805), (1949) imply:
% 291.51/57.51 | (1974) all_1233_3 = all_1163_2
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (1974) implies:
% 291.51/57.51 | (1975) all_1233_3 = all_1163_2
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1432), (1961) imply:
% 291.51/57.51 | (1976) all_1233_4 = all_1143_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (1976) implies:
% 291.51/57.51 | (1977) all_1233_4 = all_1143_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1307), (1973) imply:
% 291.51/57.51 | (1978) all_1246_0 = all_1129_2
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (1978) implies:
% 291.51/57.51 | (1979) all_1246_0 = all_1129_2
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1597), (1598) imply:
% 291.51/57.51 | (1980) all_1014_1 = all_764_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (1980) implies:
% 291.51/57.51 | (1981) all_1014_1 = all_764_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1273), (1931) imply:
% 291.51/57.51 | (1982) all_1204_0 = all_725_1
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (1982) implies:
% 291.51/57.51 | (1983) all_1204_0 = all_725_1
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1547), (1851) imply:
% 291.51/57.51 | (1984) all_1141_2 = all_627_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (1984) implies:
% 291.51/57.51 | (1985) all_1141_2 = all_627_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1693), (1979) imply:
% 291.51/57.51 | (1986) all_1175_1 = all_1129_2
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (1986) implies:
% 291.51/57.51 | (1987) all_1175_1 = all_1129_2
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1250), (1943) imply:
% 291.51/57.51 | (1988) all_1239_0 = all_749_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (1988) implies:
% 291.51/57.51 | (1989) all_1239_0 = all_749_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1306), (1909) imply:
% 291.51/57.51 | (1990) all_1072_2 = all_735_1
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (1990) implies:
% 291.51/57.51 | (1991) all_1072_2 = all_735_1
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1402), (1971) imply:
% 291.51/57.51 | (1992) all_1239_6 = all_901_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (1992) implies:
% 291.51/57.51 | (1993) all_1239_6 = all_901_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1747), (1967) imply:
% 291.51/57.51 | (1994) all_1239_5 = all_1017_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (1994) implies:
% 291.51/57.51 | (1995) all_1239_5 = all_1017_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1249), (1989) imply:
% 291.51/57.51 | (1996) all_1233_5 = all_749_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (1996) implies:
% 291.51/57.51 | (1997) all_1233_5 = all_749_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1745), (1995) imply:
% 291.51/57.51 | (1998) all_1236_2 = all_1017_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (1998) implies:
% 291.51/57.51 | (1999) all_1236_2 = all_1017_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1756), (1993) imply:
% 291.51/57.51 | (2000) all_1228_5 = all_901_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2000) implies:
% 291.51/57.51 | (2001) all_1228_5 = all_901_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1305), (1999) imply:
% 291.51/57.51 | (2002) all_1228_4 = all_1017_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2002) implies:
% 291.51/57.51 | (2003) all_1228_4 = all_1017_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1802), (1975) imply:
% 291.51/57.51 | (2004) all_1163_2 = all_1148_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1803), (1975) imply:
% 291.51/57.51 | (2005) all_1166_2 = all_1163_2
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2005) implies:
% 291.51/57.51 | (2006) all_1166_2 = all_1163_2
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1248), (1997) imply:
% 291.51/57.51 | (2007) all_1204_1 = all_749_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2007) implies:
% 291.51/57.51 | (2008) all_1204_1 = all_749_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1304), (2003) imply:
% 291.51/57.51 | (2009) all_1207_2 = all_1017_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2009) implies:
% 291.51/57.51 | (2010) all_1207_2 = all_1017_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1757), (2001) imply:
% 291.51/57.51 | (2011) all_1222_0 = all_901_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2011) implies:
% 291.51/57.51 | (2012) all_1222_0 = all_901_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1903), (1939) imply:
% 291.51/57.51 | (2013) all_1222_1 = all_1219_1
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2013) implies:
% 291.51/57.51 | (2014) all_1222_1 = all_1219_1
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1401), (2012) imply:
% 291.51/57.51 | (2015) all_1126_0 = all_901_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2015) implies:
% 291.51/57.51 | (2016) all_1126_0 = all_901_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1940), (2014) imply:
% 291.51/57.51 | (2017) all_1219_1 = all_647_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1941), (2014) imply:
% 291.51/57.51 | (2018) all_1219_1 = all_1114_1
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1400), (1945) imply:
% 291.51/57.51 | (2019) all_1216_0 = all_1002_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2019) implies:
% 291.51/57.51 | (2020) all_1216_0 = all_1002_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (2017), (2018) imply:
% 291.51/57.51 | (2021) all_1114_1 = all_647_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2021) implies:
% 291.51/57.51 | (2022) all_1114_1 = all_647_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1399), (2020) imply:
% 291.51/57.51 | (2023) all_1114_0 = all_1002_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2023) implies:
% 291.51/57.51 | (2024) all_1114_0 = all_1002_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1546), (1913) imply:
% 291.51/57.51 | (2025) all_1084_0 = all_1051_2
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2025) implies:
% 291.51/57.51 | (2026) all_1084_0 = all_1051_2
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1303), (2010) imply:
% 291.51/57.51 | (2027) all_1201_1 = all_1017_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2027) implies:
% 291.51/57.51 | (2028) all_1201_1 = all_1017_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1272), (1819) imply:
% 291.51/57.51 | (2029) all_1096_1 = all_987_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1819), (1983) imply:
% 291.51/57.51 | (2030) all_1096_1 = all_725_1
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1247), (2008) imply:
% 291.51/57.51 | (2031) all_1198_0 = all_749_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2031) implies:
% 291.51/57.51 | (2032) all_1198_0 = all_749_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1485), (1963) imply:
% 291.51/57.51 | (2033) all_1198_1 = all_649_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2033) implies:
% 291.51/57.51 | (2034) all_1198_1 = all_649_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1302), (2028) imply:
% 291.51/57.51 | (2035) all_1192_3 = all_1017_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2035) implies:
% 291.51/57.51 | (2036) all_1192_3 = all_1017_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1246), (2032) imply:
% 291.51/57.51 | (2037) all_1054_4 = all_749_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2037) implies:
% 291.51/57.51 | (2038) all_1054_4 = all_749_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1761), (2034) imply:
% 291.51/57.51 | (2039) all_1048_1 = all_649_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2039) implies:
% 291.51/57.51 | (2040) all_1048_1 = all_649_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1703), (1881) imply:
% 291.51/57.51 | (2041) all_1093_2 = all_1023_2
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2041) implies:
% 291.51/57.51 | (2042) all_1093_2 = all_1023_2
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1301), (2036) imply:
% 291.51/57.51 | (2043) all_1186_2 = all_1017_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2043) implies:
% 291.51/57.51 | (2044) all_1186_2 = all_1017_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1300), (2044) imply:
% 291.51/57.51 | (2045) all_1183_3 = all_1017_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2045) implies:
% 291.51/57.51 | (2046) all_1183_3 = all_1017_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1632), (2046) imply:
% 291.51/57.51 | (2047) all_1180_2 = all_1017_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2047) implies:
% 291.51/57.51 | (2048) all_1180_2 = all_1017_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1483), (1484) imply:
% 291.51/57.51 | (2049) all_1075_0 = all_993_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2049) implies:
% 291.51/57.51 | (2050) all_1075_0 = all_993_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1951), (2048) imply:
% 291.51/57.51 | (2051) all_1132_2 = all_1017_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2051) implies:
% 291.51/57.51 | (2052) all_1132_2 = all_1017_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1299), (1786) imply:
% 291.51/57.51 | (2053) all_1046_3 = all_1044_1
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1298), (1786) imply:
% 291.51/57.51 | (2054) all_1054_3 = all_1046_3
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2054) implies:
% 291.51/57.51 | (2055) all_1054_3 = all_1046_3
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1694), (1987) imply:
% 291.51/57.51 | (2056) all_1166_2 = all_1129_2
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2056) implies:
% 291.51/57.51 | (2057) all_1166_2 = all_1129_2
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1481), (1482) imply:
% 291.51/57.51 | (2058) all_1126_1 = all_653_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2058) implies:
% 291.51/57.51 | (2059) all_1126_1 = all_653_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (2006), (2057) imply:
% 291.51/57.51 | (2060) all_1163_2 = all_1129_2
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2060) implies:
% 291.51/57.51 | (2061) all_1163_2 = all_1129_2
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (2004), (2061) imply:
% 291.51/57.51 | (2062) all_1148_0 = all_1129_2
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2062) implies:
% 291.51/57.51 | (2063) all_1148_0 = all_1129_2
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1297), (1925) imply:
% 291.51/57.51 | (2064) all_1141_5 = all_1058_4
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2064) implies:
% 291.51/57.51 | (2065) all_1141_5 = all_1058_4
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1545), (1686) imply:
% 291.51/57.51 | (2066) all_701_0 = all_684_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2066) implies:
% 291.51/57.51 | (2067) all_701_0 = all_684_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1545), (1915) imply:
% 291.51/57.51 | (2068) all_684_0 = all_665_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1296), (2063) imply:
% 291.51/57.51 | (2069) all_1129_2 = all_1123_1
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1953), (2063) imply:
% 291.51/57.51 | (2070) all_1132_2 = all_1129_2
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2070) implies:
% 291.51/57.51 | (2071) all_1132_2 = all_1129_2
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1544), (1985) imply:
% 291.51/57.51 | (2072) all_1096_0 = all_627_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2072) implies:
% 291.51/57.51 | (2073) all_1096_0 = all_627_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1295), (2065) imply:
% 291.51/57.51 | (2074) all_1058_4 = all_1054_3
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1294), (2065) imply:
% 291.51/57.51 | (2075) all_1069_2 = all_1058_4
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2075) implies:
% 291.51/57.51 | (2076) all_1069_2 = all_1058_4
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1478), (1479) imply:
% 291.51/57.51 | (2077) all_839_0 = all_798_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2077) implies:
% 291.51/57.51 | (2078) all_839_0 = all_798_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1479), (1480) imply:
% 291.51/57.51 | (2079) all_798_0 = all_780_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (2052), (2071) imply:
% 291.51/57.51 | (2080) all_1129_2 = all_1017_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2080) implies:
% 291.51/57.51 | (2081) all_1129_2 = all_1017_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (2069), (2081) imply:
% 291.51/57.51 | (2082) all_1123_1 = all_1017_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2082) implies:
% 291.51/57.51 | (2083) all_1123_1 = all_1017_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1398), (2016) imply:
% 291.51/57.51 | (2084) all_1078_0 = all_901_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2084) implies:
% 291.51/57.51 | (2085) all_1078_0 = all_901_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1477), (2059) imply:
% 291.51/57.51 | (2086) all_653_0 = all_633_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1475), (2059) imply:
% 291.51/57.51 | (2087) all_720_0 = all_653_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2087) implies:
% 291.51/57.51 | (2088) all_720_0 = all_653_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1474), (2059) imply:
% 291.51/57.51 | (2089) all_780_0 = all_653_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2089) implies:
% 291.51/57.51 | (2090) all_780_0 = all_653_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1476), (2059) imply:
% 291.51/57.51 | (2091) all_707_1 = all_653_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2091) implies:
% 291.51/57.51 | (2092) all_707_1 = all_653_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1682), (2059) imply:
% 291.51/57.51 | (2093) all_653_0 = all_631_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1293), (2083) imply:
% 291.51/57.51 | (2094) all_1111_1 = all_1017_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2094) implies:
% 291.51/57.51 | (2095) all_1111_1 = all_1017_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1397), (2024) imply:
% 291.51/57.51 | (2096) all_1087_0 = all_1002_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2096) implies:
% 291.51/57.51 | (2097) all_1087_0 = all_1002_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1473), (2022) imply:
% 291.51/57.51 | (2098) all_1087_1 = all_647_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2098) implies:
% 291.51/57.51 | (2099) all_1087_1 = all_647_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1292), (2095) imply:
% 291.51/57.51 | (2100) all_1069_2 = all_1017_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2100) implies:
% 291.51/57.51 | (2101) all_1069_2 = all_1017_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1291), (1863) imply:
% 291.51/57.51 | (2102) all_845_2 = all_709_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1290), (1863) imply:
% 291.51/57.51 | (2103) all_1038_1 = all_845_2
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2103) implies:
% 291.51/57.51 | (2104) all_1038_1 = all_845_2
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1738), (1863) imply:
% 291.51/57.51 | (2105) all_845_2 = all_725_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1472), (1836) imply:
% 291.51/57.51 | (2106) all_1046_4 = all_978_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2106) implies:
% 291.51/57.51 | (2107) all_1046_4 = all_978_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1543), (2073) imply:
% 291.51/57.51 | (2108) all_1029_0 = all_627_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2108) implies:
% 291.51/57.51 | (2109) all_1029_0 = all_627_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (2029), (2030) imply:
% 291.51/57.51 | (2110) all_987_0 = all_725_1
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2110) implies:
% 291.51/57.51 | (2111) all_987_0 = all_725_1
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1542), (2042) imply:
% 291.51/57.51 | (2112) all_1063_0 = all_1023_2
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2112) implies:
% 291.51/57.51 | (2113) all_1063_0 = all_1023_2
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1396), (2097) imply:
% 291.51/57.51 | (2114) all_1081_0 = all_1002_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2114) implies:
% 291.51/57.51 | (2115) all_1081_0 = all_1002_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1471), (2099) imply:
% 291.51/57.51 | (2116) all_1081_1 = all_647_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2116) implies:
% 291.51/57.51 | (2117) all_1081_1 = all_647_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1541), (2026) imply:
% 291.51/57.51 | (2118) all_1058_1 = all_1051_2
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2118) implies:
% 291.51/57.51 | (2119) all_1058_1 = all_1051_2
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1395), (2115) imply:
% 291.51/57.51 | (2120) all_1048_0 = all_1002_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2120) implies:
% 291.51/57.51 | (2121) all_1048_0 = all_1002_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1470), (2117) imply:
% 291.51/57.51 | (2122) all_1056_4 = all_647_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2122) implies:
% 291.51/57.51 | (2123) all_1056_4 = all_647_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1394), (2085) imply:
% 291.51/57.51 | (2124) all_1048_0 = all_901_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2124) implies:
% 291.51/57.51 | (2125) all_1048_0 = all_901_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1469), (2050) imply:
% 291.51/57.51 | (2126) all_1046_4 = all_993_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2126) implies:
% 291.51/57.51 | (2127) all_1046_4 = all_993_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1289), (1991) imply:
% 291.51/57.51 | (2128) all_1056_3 = all_735_1
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2128) implies:
% 291.51/57.51 | (2129) all_1056_3 = all_735_1
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (2076), (2101) imply:
% 291.51/57.51 | (2130) all_1058_4 = all_1017_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2130) implies:
% 291.51/57.51 | (2131) all_1058_4 = all_1017_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1540), (2113) imply:
% 291.51/57.51 | (2132) all_1058_1 = all_1023_2
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2132) implies:
% 291.51/57.51 | (2133) all_1058_1 = all_1023_2
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1539), (2119) imply:
% 291.51/57.51 | (2134) all_1051_2 = all_1032_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (2119), (2133) imply:
% 291.51/57.51 | (2135) all_1051_2 = all_1023_2
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (2074), (2131) imply:
% 291.51/57.51 | (2136) all_1054_3 = all_1017_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2136) implies:
% 291.51/57.51 | (2137) all_1054_3 = all_1017_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1288), (2129) imply:
% 291.51/57.51 | (2138) all_1044_1 = all_735_1
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2138) implies:
% 291.51/57.51 | (2139) all_1044_1 = all_735_1
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1733), (2123) imply:
% 291.51/57.51 | (2140) all_866_0 = all_647_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2140) implies:
% 291.51/57.51 | (2141) all_866_0 = all_647_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (2055), (2137) imply:
% 291.51/57.51 | (2142) all_1046_3 = all_1017_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2142) implies:
% 291.51/57.51 | (2143) all_1046_3 = all_1017_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1245), (2038) imply:
% 291.51/57.51 | (2144) all_999_0 = all_749_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2144) implies:
% 291.51/57.51 | (2145) all_999_0 = all_749_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (2134), (2135) imply:
% 291.51/57.51 | (2146) all_1032_0 = all_1023_2
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2146) implies:
% 291.51/57.51 | (2147) all_1032_0 = all_1023_2
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1393), (2121) imply:
% 291.51/57.51 | (2148) all_1002_0 = all_990_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (2121), (2125) imply:
% 291.51/57.51 | (2149) all_1002_0 = all_901_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1762), (2040) imply:
% 291.51/57.51 | (2150) all_996_0 = all_649_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2150) implies:
% 291.51/57.51 | (2151) all_996_0 = all_649_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (2053), (2143) imply:
% 291.51/57.51 | (2152) all_1044_1 = all_1017_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2152) implies:
% 291.51/57.51 | (2153) all_1044_1 = all_1017_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1468), (2127) imply:
% 291.51/57.51 | (2154) all_993_0 = all_860_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (2107), (2127) imply:
% 291.51/57.51 | (2155) all_993_0 = all_978_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1466), (2127) imply:
% 291.51/57.51 | (2156) all_993_0 = all_981_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1467), (2127) imply:
% 291.51/57.51 | (2157) all_993_0 = all_950_1
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1662), (2153) imply:
% 291.51/57.51 | (2158) all_1017_0 = all_969_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (2139), (2153) imply:
% 291.51/57.51 | (2159) all_1017_0 = all_735_1
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1538), (1891) imply:
% 291.51/57.51 | (2160) all_1020_0 = all_671_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2160) implies:
% 291.51/57.51 | (2161) all_1020_0 = all_671_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1595), (1596) imply:
% 291.51/57.51 | (2162) all_655_0 = all_645_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1594), (1595) imply:
% 291.51/57.51 | (2163) all_723_1 = all_655_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2163) implies:
% 291.51/57.51 | (2164) all_723_1 = all_655_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1287), (1869) imply:
% 291.51/57.51 | (2165) all_871_0 = all_868_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2165) implies:
% 291.51/57.51 | (2166) all_871_0 = all_868_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1869), (2104) imply:
% 291.51/57.51 | (2167) all_868_0 = all_845_2
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1537), (2147) imply:
% 291.51/57.51 | (2168) all_1029_0 = all_1023_2
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2168) implies:
% 291.51/57.51 | (2169) all_1029_0 = all_1023_2
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1536), (2169) imply:
% 291.51/57.51 | (2170) all_1023_2 = all_972_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1720), (2169) imply:
% 291.51/57.51 | (2171) all_1023_2 = all_942_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (2109), (2169) imply:
% 291.51/57.51 | (2172) all_1023_2 = all_627_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (2170), (2172) imply:
% 291.51/57.51 | (2173) all_972_0 = all_627_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (2170), (2171) imply:
% 291.51/57.51 | (2174) all_972_0 = all_942_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1535), (2161) imply:
% 291.51/57.51 | (2175) all_939_0 = all_671_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2175) implies:
% 291.51/57.51 | (2176) all_939_0 = all_671_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (2158), (2159) imply:
% 291.51/57.51 | (2177) all_969_0 = all_735_1
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2177) implies:
% 291.51/57.51 | (2178) all_969_0 = all_735_1
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1593), (1981) imply:
% 291.51/57.51 | (2179) all_1005_0 = all_764_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2179) implies:
% 291.51/57.51 | (2180) all_1005_0 = all_764_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1591), (1592) imply:
% 291.51/57.51 | (2181) all_929_3 = all_733_1
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2181) implies:
% 291.51/57.51 | (2182) all_929_3 = all_733_1
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1590), (2180) imply:
% 291.51/57.51 | (2183) all_847_0 = all_764_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2183) implies:
% 291.51/57.51 | (2184) all_847_0 = all_764_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (2148), (2149) imply:
% 291.51/57.51 | (2185) all_990_0 = all_901_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2185) implies:
% 291.51/57.51 | (2186) all_990_0 = all_901_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1667), (2145) imply:
% 291.51/57.51 | (2187) all_984_0 = all_749_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2187) implies:
% 291.51/57.51 | (2188) all_984_0 = all_749_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1465), (2151) imply:
% 291.51/57.51 | (2189) all_863_0 = all_649_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2189) implies:
% 291.51/57.51 | (2190) all_863_0 = all_649_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (2155), (2156) imply:
% 291.51/57.51 | (2191) all_981_0 = all_978_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (2154), (2156) imply:
% 291.51/57.51 | (2192) all_981_0 = all_860_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (2156), (2157) imply:
% 291.51/57.51 | (2193) all_981_0 = all_950_1
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1937), (2186) imply:
% 291.51/57.51 | (2194) all_933_2 = all_901_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2194) implies:
% 291.51/57.51 | (2195) all_933_2 = all_901_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1271), (2111) imply:
% 291.51/57.51 | (2196) all_920_1 = all_725_1
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2196) implies:
% 291.51/57.51 | (2197) all_920_1 = all_725_1
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (1668), (2188) imply:
% 291.51/57.51 | (2198) all_963_0 = all_749_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2198) implies:
% 291.51/57.51 | (2199) all_963_0 = all_749_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (2191), (2193) imply:
% 291.51/57.51 | (2200) all_978_0 = all_950_1
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (2191), (2192) imply:
% 291.51/57.51 | (2201) all_978_0 = all_860_0
% 291.51/57.51 |
% 291.51/57.51 | COMBINE_EQS: (2200), (2201) imply:
% 291.51/57.51 | (2202) all_950_1 = all_860_0
% 291.51/57.51 |
% 291.51/57.51 | SIMP: (2202) implies:
% 291.51/57.52 | (2203) all_950_1 = all_860_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1588), (1589) imply:
% 291.51/57.52 | (2204) all_948_3 = all_904_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2204) implies:
% 291.51/57.52 | (2205) all_948_3 = all_904_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2173), (2174) imply:
% 291.51/57.52 | (2206) all_942_0 = all_627_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2206) implies:
% 291.51/57.52 | (2207) all_942_0 = all_627_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1663), (2178) imply:
% 291.51/57.52 | (2208) all_957_2 = all_735_1
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2208) implies:
% 291.51/57.52 | (2209) all_957_2 = all_735_1
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1244), (2199) imply:
% 291.51/57.52 | (2210) all_960_0 = all_749_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2210) implies:
% 291.51/57.52 | (2211) all_960_0 = all_749_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1243), (2211) imply:
% 291.51/57.52 | (2212) all_950_0 = all_749_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2212) implies:
% 291.51/57.52 | (2213) all_950_0 = all_749_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1286), (2209) imply:
% 291.51/57.52 | (2214) all_953_0 = all_735_1
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2214) implies:
% 291.51/57.52 | (2215) all_953_0 = all_735_1
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1285), (2215) imply:
% 291.51/57.52 | (2216) all_948_2 = all_735_1
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2216) implies:
% 291.51/57.52 | (2217) all_948_2 = all_735_1
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1242), (2213) imply:
% 291.51/57.52 | (2218) all_933_1 = all_749_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2218) implies:
% 291.51/57.52 | (2219) all_933_1 = all_749_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1731), (2203) imply:
% 291.51/57.52 | (2220) all_866_0 = all_860_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2220) implies:
% 291.51/57.52 | (2221) all_866_0 = all_860_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1284), (2217) imply:
% 291.51/57.52 | (2222) all_945_0 = all_735_1
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2222) implies:
% 291.51/57.52 | (2223) all_945_0 = all_735_1
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1587), (2205) imply:
% 291.51/57.52 | (2224) all_929_3 = all_904_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2224) implies:
% 291.51/57.52 | (2225) all_929_3 = all_904_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1751), (2223) imply:
% 291.51/57.52 | (2226) all_929_2 = all_735_1
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2226) implies:
% 291.51/57.52 | (2227) all_929_2 = all_735_1
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1721), (2207) imply:
% 291.51/57.52 | (2228) all_913_0 = all_627_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2228) implies:
% 291.51/57.52 | (2229) all_913_0 = all_627_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1689), (2176) imply:
% 291.51/57.52 | (2230) all_701_0 = all_671_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2230) implies:
% 291.51/57.52 | (2231) all_701_0 = all_671_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1241), (2219) imply:
% 291.51/57.52 | (2232) all_931_3 = all_749_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2232) implies:
% 291.51/57.52 | (2233) all_931_3 = all_749_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1240), (2233) imply:
% 291.51/57.52 | (2234) all_918_3 = all_749_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2234) implies:
% 291.51/57.52 | (2235) all_918_3 = all_749_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1752), (2227) imply:
% 291.51/57.52 | (2236) all_916_1 = all_735_1
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2236) implies:
% 291.51/57.52 | (2237) all_916_1 = all_735_1
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1585), (2225) imply:
% 291.51/57.52 | (2238) all_904_0 = all_762_1
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1584), (2225) imply:
% 291.51/57.52 | (2239) all_904_0 = all_847_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1586), (2225) imply:
% 291.51/57.52 | (2240) all_904_0 = all_727_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2182), (2225) imply:
% 291.51/57.52 | (2241) all_904_0 = all_733_1
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1532), (1533) imply:
% 291.51/57.52 | (2242) all_913_0 = all_845_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2242) implies:
% 291.51/57.52 | (2243) all_913_0 = all_845_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1533), (1534) imply:
% 291.51/57.52 | (2244) all_845_0 = all_795_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1270), (2197) imply:
% 291.51/57.52 | (2245) all_916_3 = all_725_1
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2245) implies:
% 291.51/57.52 | (2246) all_916_3 = all_725_1
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1239), (2235) imply:
% 291.51/57.52 | (2247) all_892_2 = all_749_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2247) implies:
% 291.51/57.52 | (2248) all_892_2 = all_749_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1283), (2237) imply:
% 291.51/57.52 | (2249) all_871_0 = all_735_1
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2249) implies:
% 291.51/57.52 | (2250) all_871_0 = all_735_1
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1269), (2246) imply:
% 291.51/57.52 | (2251) all_907_0 = all_725_1
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2251) implies:
% 291.51/57.52 | (2252) all_907_0 = all_725_1
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2229), (2243) imply:
% 291.51/57.52 | (2253) all_845_0 = all_627_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2253) implies:
% 291.51/57.52 | (2254) all_845_0 = all_627_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1529), (1530) imply:
% 291.51/57.52 | (2255) all_737_0 = all_713_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2255) implies:
% 291.51/57.52 | (2256) all_737_0 = all_713_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1530), (1531) imply:
% 291.51/57.52 | (2257) all_713_0 = all_694_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1268), (2252) imply:
% 291.51/57.52 | (2258) all_898_0 = all_725_1
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2258) implies:
% 291.51/57.52 | (2259) all_898_0 = all_725_1
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2238), (2239) imply:
% 291.51/57.52 | (2260) all_847_0 = all_762_1
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2260) implies:
% 291.51/57.52 | (2261) all_847_0 = all_762_1
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2238), (2241) imply:
% 291.51/57.52 | (2262) all_762_1 = all_733_1
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2238), (2240) imply:
% 291.51/57.52 | (2263) all_762_1 = all_727_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1267), (2259) imply:
% 291.51/57.52 | (2264) all_886_0 = all_725_1
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2264) implies:
% 291.51/57.52 | (2265) all_886_0 = all_725_1
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1238), (2248) imply:
% 291.51/57.52 | (2266) all_866_1 = all_749_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2266) implies:
% 291.51/57.52 | (2267) all_866_1 = all_749_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1526), (1527) imply:
% 291.51/57.52 | (2268) all_795_0 = all_790_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2268) implies:
% 291.51/57.52 | (2269) all_795_0 = all_790_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1527), (1528) imply:
% 291.51/57.52 | (2270) all_790_0 = all_777_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1266), (2265) imply:
% 291.51/57.52 | (2271) all_787_0 = all_725_1
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2271) implies:
% 291.51/57.52 | (2272) all_787_0 = all_725_1
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2166), (2250) imply:
% 291.51/57.52 | (2273) all_868_0 = all_735_1
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2273) implies:
% 291.51/57.52 | (2274) all_868_0 = all_735_1
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2167), (2274) imply:
% 291.51/57.52 | (2275) all_845_2 = all_735_1
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2275) implies:
% 291.51/57.52 | (2276) all_845_2 = all_735_1
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1734), (2221) imply:
% 291.51/57.52 | (2277) all_860_0 = all_839_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2141), (2221) imply:
% 291.51/57.52 | (2278) all_860_0 = all_647_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1237), (2267) imply:
% 291.51/57.52 | (2279) all_854_0 = all_749_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2279) implies:
% 291.51/57.52 | (2280) all_854_0 = all_749_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1464), (2190) imply:
% 291.51/57.52 | (2281) all_827_0 = all_649_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2281) implies:
% 291.51/57.52 | (2282) all_827_0 = all_649_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2277), (2278) imply:
% 291.51/57.52 | (2283) all_839_0 = all_647_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2283) implies:
% 291.51/57.52 | (2284) all_839_0 = all_647_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1236), (2280) imply:
% 291.51/57.52 | (2285) all_833_0 = all_749_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2285) implies:
% 291.51/57.52 | (2286) all_833_0 = all_749_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1583), (2184) imply:
% 291.51/57.52 | (2287) all_764_0 = c_Int_OPls
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2184), (2261) imply:
% 291.51/57.52 | (2288) all_764_0 = all_762_1
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1582), (2184) imply:
% 291.51/57.52 | (2289) all_764_0 = all_740_1
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2244), (2254) imply:
% 291.51/57.52 | (2290) all_795_0 = all_627_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2290) implies:
% 291.51/57.52 | (2291) all_795_0 = all_627_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2102), (2276) imply:
% 291.51/57.52 | (2292) all_735_1 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2105), (2276) imply:
% 291.51/57.52 | (2293) all_735_1 = all_725_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2078), (2284) imply:
% 291.51/57.52 | (2294) all_798_0 = all_647_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2294) implies:
% 291.51/57.52 | (2295) all_798_0 = all_647_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1235), (2286) imply:
% 291.51/57.52 | (2296) all_830_0 = all_749_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2296) implies:
% 291.51/57.52 | (2297) all_830_0 = all_749_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1234), (2297) imply:
% 291.51/57.52 | (2298) all_823_2 = all_749_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2298) implies:
% 291.51/57.52 | (2299) all_823_2 = all_749_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1807), (2282) imply:
% 291.51/57.52 | (2300) all_812_0 = all_649_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2300) implies:
% 291.51/57.52 | (2301) all_812_0 = all_649_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1233), (2299) imply:
% 291.51/57.52 | (2302) all_815_0 = all_749_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2302) implies:
% 291.51/57.52 | (2303) all_815_0 = all_749_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1231), (2303) imply:
% 291.51/57.52 | (2304) all_749_0 = all_707_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1232), (2303) imply:
% 291.51/57.52 | (2305) all_749_0 = all_657_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1808), (2301) imply:
% 291.51/57.52 | (2306) all_749_1 = all_649_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2306) implies:
% 291.51/57.52 | (2307) all_749_1 = all_649_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2079), (2295) imply:
% 291.51/57.52 | (2308) all_780_0 = all_647_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2308) implies:
% 291.51/57.52 | (2309) all_780_0 = all_647_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2269), (2291) imply:
% 291.51/57.52 | (2310) all_790_0 = all_627_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2310) implies:
% 291.51/57.52 | (2311) all_790_0 = all_627_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2270), (2311) imply:
% 291.51/57.52 | (2312) all_777_0 = all_627_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2312) implies:
% 291.51/57.52 | (2313) all_777_0 = all_627_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1265), (2272) imply:
% 291.51/57.52 | (2314) all_769_0 = all_725_1
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2314) implies:
% 291.51/57.52 | (2315) all_769_0 = all_725_1
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2090), (2309) imply:
% 291.51/57.52 | (2316) all_653_0 = all_647_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2316) implies:
% 291.51/57.52 | (2317) all_653_0 = all_647_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1525), (2313) imply:
% 291.51/57.52 | (2318) all_757_0 = all_627_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2318) implies:
% 291.51/57.52 | (2319) all_757_0 = all_627_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1264), (2315) imply:
% 291.51/57.52 | (2320) all_757_1 = all_725_1
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2320) implies:
% 291.51/57.52 | (2321) all_757_1 = all_725_1
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2288), (2289) imply:
% 291.51/57.52 | (2322) all_762_1 = all_740_1
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2322) implies:
% 291.51/57.52 | (2323) all_762_1 = all_740_1
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2287), (2289) imply:
% 291.51/57.52 | (2324) all_740_1 = c_Int_OPls
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2262), (2263) imply:
% 291.51/57.52 | (2325) all_733_1 = all_727_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2262), (2323) imply:
% 291.51/57.52 | (2326) all_740_1 = all_733_1
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2326) implies:
% 291.51/57.52 | (2327) all_740_1 = all_733_1
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1524), (2319) imply:
% 291.51/57.52 | (2328) all_746_0 = all_627_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2328) implies:
% 291.51/57.52 | (2329) all_746_0 = all_627_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2304), (2305) imply:
% 291.51/57.52 | (2330) all_707_0 = all_657_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2330) implies:
% 291.51/57.52 | (2331) all_707_0 = all_657_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1463), (2307) imply:
% 291.51/57.52 | (2332) all_730_0 = all_649_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2332) implies:
% 291.51/57.52 | (2333) all_730_0 = all_649_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1523), (2329) imply:
% 291.51/57.52 | (2334) all_737_0 = all_627_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2334) implies:
% 291.51/57.52 | (2335) all_737_0 = all_627_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2324), (2327) imply:
% 291.51/57.52 | (2336) all_733_1 = c_Int_OPls
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2336) implies:
% 291.51/57.52 | (2337) all_733_1 = c_Int_OPls
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2256), (2335) imply:
% 291.51/57.52 | (2338) all_713_0 = all_627_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2338) implies:
% 291.51/57.52 | (2339) all_713_0 = all_627_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2292), (2293) imply:
% 291.51/57.52 | (2340) all_725_0 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2325), (2337) imply:
% 291.51/57.52 | (2341) all_727_0 = c_Int_OPls
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2341) implies:
% 291.51/57.52 | (2342) all_727_0 = c_Int_OPls
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1462), (2333) imply:
% 291.51/57.52 | (2343) all_720_0 = all_649_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2343) implies:
% 291.51/57.52 | (2344) all_720_0 = all_649_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1581), (2342) imply:
% 291.51/57.52 | (2345) all_723_1 = c_Int_OPls
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2345) implies:
% 291.51/57.52 | (2346) all_723_1 = c_Int_OPls
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2164), (2346) imply:
% 291.51/57.52 | (2347) all_655_0 = c_Int_OPls
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2347) implies:
% 291.51/57.52 | (2348) all_655_0 = c_Int_OPls
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2088), (2344) imply:
% 291.51/57.52 | (2349) all_653_0 = all_649_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2349) implies:
% 291.51/57.52 | (2350) all_653_0 = all_649_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2257), (2339) imply:
% 291.51/57.52 | (2351) all_694_0 = all_627_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2351) implies:
% 291.51/57.52 | (2352) all_694_0 = all_627_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1230), (2331) imply:
% 291.51/57.52 | (2353) all_657_0 = all_635_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1461), (2092) imply:
% 291.51/57.52 | (2354) all_653_0 = all_643_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2354) implies:
% 291.51/57.52 | (2355) all_653_0 = all_643_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2067), (2231) imply:
% 291.51/57.52 | (2356) all_684_0 = all_671_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2356) implies:
% 291.51/57.52 | (2357) all_684_0 = all_671_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1687), (2231) imply:
% 291.51/57.52 | (2358) all_671_0 = all_668_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1522), (2352) imply:
% 291.51/57.52 | (2359) all_687_0 = all_627_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2359) implies:
% 291.51/57.52 | (2360) all_687_0 = all_627_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1521), (2360) imply:
% 291.51/57.52 | (2361) all_681_0 = all_627_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2361) implies:
% 291.51/57.52 | (2362) all_681_0 = all_627_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2068), (2357) imply:
% 291.51/57.52 | (2363) all_671_0 = all_665_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2363) implies:
% 291.51/57.52 | (2364) all_671_0 = all_665_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1520), (2362) imply:
% 291.51/57.52 | (2365) all_679_0 = all_627_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2365) implies:
% 291.51/57.52 | (2366) all_679_0 = all_627_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1519), (2366) imply:
% 291.51/57.52 | (2367) all_676_0 = all_627_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2367) implies:
% 291.51/57.52 | (2368) all_676_0 = all_627_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1518), (2368) imply:
% 291.51/57.52 | (2369) all_668_0 = all_627_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2369) implies:
% 291.51/57.52 | (2370) all_668_0 = all_627_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2358), (2364) imply:
% 291.51/57.52 | (2371) all_668_0 = all_665_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2371) implies:
% 291.51/57.52 | (2372) all_668_0 = all_665_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2370), (2372) imply:
% 291.51/57.52 | (2373) all_665_0 = all_627_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2373) implies:
% 291.51/57.52 | (2374) all_665_0 = all_627_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2162), (2348) imply:
% 291.51/57.52 | (2375) all_645_0 = c_Int_OPls
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2375) implies:
% 291.51/57.52 | (2376) all_645_0 = c_Int_OPls
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2086), (2350) imply:
% 291.51/57.52 | (2377) all_649_0 = all_633_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2350), (2355) imply:
% 291.51/57.52 | (2378) all_649_0 = all_643_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2317), (2350) imply:
% 291.51/57.52 | (2379) all_649_0 = all_647_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2093), (2350) imply:
% 291.51/57.52 | (2380) all_649_0 = all_631_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2377), (2379) imply:
% 291.51/57.52 | (2381) all_647_0 = all_633_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2379), (2380) imply:
% 291.51/57.52 | (2382) all_647_0 = all_631_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2378), (2379) imply:
% 291.51/57.52 | (2383) all_647_0 = all_643_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2381), (2383) imply:
% 291.51/57.52 | (2384) all_643_0 = all_633_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2382), (2383) imply:
% 291.51/57.52 | (2385) all_643_0 = all_631_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1580), (2376) imply:
% 291.51/57.52 | (2386) all_641_0 = c_Int_OPls
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2386) implies:
% 291.51/57.52 | (2387) all_641_0 = c_Int_OPls
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2384), (2385) imply:
% 291.51/57.52 | (2388) all_633_0 = all_631_0
% 291.51/57.52 |
% 291.51/57.52 | SIMP: (2388) implies:
% 291.51/57.52 | (2389) all_633_0 = all_631_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2364), (2374) imply:
% 291.51/57.52 | (2390) all_671_0 = all_627_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2305), (2353) imply:
% 291.51/57.52 | (2391) all_749_0 = all_635_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2262), (2337) imply:
% 291.51/57.52 | (2392) all_762_1 = c_Int_OPls
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2274), (2292) imply:
% 291.51/57.52 | (2393) all_868_0 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2238), (2392) imply:
% 291.51/57.52 | (2394) all_904_0 = c_Int_OPls
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1530), (2339) imply:
% 291.51/57.52 | (2395) all_910_1 = all_627_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2237), (2292) imply:
% 291.51/57.52 | (2396) all_916_1 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2225), (2394) imply:
% 291.51/57.52 | (2397) all_929_3 = c_Int_OPls
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2227), (2292) imply:
% 291.51/57.52 | (2398) all_929_2 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2209), (2292) imply:
% 291.51/57.52 | (2399) all_957_2 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2178), (2292) imply:
% 291.51/57.52 | (2400) all_969_0 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2188), (2391) imply:
% 291.51/57.52 | (2401) all_984_0 = all_635_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2159), (2292) imply:
% 291.51/57.52 | (2402) all_1017_0 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1869), (2393) imply:
% 291.51/57.52 | (2403) all_1038_1 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1891), (2390) imply:
% 291.51/57.52 | (2404) all_1044_4 = all_627_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2153), (2402) imply:
% 291.51/57.52 | (2405) all_1044_1 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2143), (2402) imply:
% 291.51/57.52 | (2406) all_1046_3 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2135), (2172) imply:
% 291.51/57.52 | (2407) all_1051_2 = all_627_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2137), (2402) imply:
% 291.51/57.52 | (2408) all_1054_3 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2129), (2292) imply:
% 291.51/57.52 | (2409) all_1056_3 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2131), (2402) imply:
% 291.51/57.52 | (2410) all_1058_4 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2119), (2407) imply:
% 291.51/57.52 | (2411) all_1058_1 = all_627_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2101), (2402) imply:
% 291.51/57.52 | (2412) all_1069_2 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1991), (2292) imply:
% 291.51/57.52 | (2413) all_1072_2 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2042), (2172) imply:
% 291.51/57.52 | (2414) all_1093_2 = all_627_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2095), (2402) imply:
% 291.51/57.52 | (2415) all_1111_1 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2083), (2402) imply:
% 291.51/57.52 | (2416) all_1123_1 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2081), (2402) imply:
% 291.51/57.52 | (2417) all_1129_2 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2052), (2402) imply:
% 291.51/57.52 | (2418) all_1132_2 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1925), (2410) imply:
% 291.51/57.52 | (2419) all_1154_2 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2061), (2417) imply:
% 291.51/57.52 | (2420) all_1163_2 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2057), (2417) imply:
% 291.51/57.52 | (2421) all_1166_2 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1987), (2417) imply:
% 291.51/57.52 | (2422) all_1175_1 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1786), (2406) imply:
% 291.51/57.52 | (2423) all_1178_3 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2048), (2402) imply:
% 291.51/57.52 | (2424) all_1180_2 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2046), (2402) imply:
% 291.51/57.52 | (2425) all_1183_3 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2036), (2402) imply:
% 291.51/57.52 | (2426) all_1192_3 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1881), (2172) imply:
% 291.51/57.52 | (2427) all_1195_1 = all_627_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2028), (2402) imply:
% 291.51/57.52 | (2428) all_1201_1 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2010), (2402) imply:
% 291.51/57.52 | (2429) all_1207_2 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (2003), (2402) imply:
% 291.51/57.52 | (2430) all_1228_4 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1975), (2420) imply:
% 291.51/57.52 | (2431) all_1233_3 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1999), (2402) imply:
% 291.51/57.52 | (2432) all_1236_2 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1995), (2402) imply:
% 291.51/57.52 | (2433) all_1239_5 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1967), (2402) imply:
% 291.51/57.52 | (2434) all_1241_2 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1909), (2292) imply:
% 291.51/57.52 | (2435) all_1244_5 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1949), (2420) imply:
% 291.51/57.52 | (2436) all_1261_2 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1965), (2402) imply:
% 291.51/57.52 | (2437) all_1270_4 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1955), (2402) imply:
% 291.51/57.52 | (2438) all_1278_2 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1935), (2402) imply:
% 291.51/57.52 | (2439) all_1293_1 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1314), (2418) imply:
% 291.51/57.52 | (2440) all_1296_2 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1905), (2420) imply:
% 291.51/57.52 | (2441) all_1299_2 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1650), (2195) imply:
% 291.51/57.52 | (2442) all_1311_7 = all_901_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1921), (2402) imply:
% 291.51/57.52 | (2443) all_1311_6 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1919), (2391) imply:
% 291.51/57.52 | (2444) all_1311_0 = all_635_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1872), (2410) imply:
% 291.51/57.52 | (2445) all_1325_2 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1895), (2402) imply:
% 291.51/57.52 | (2446) all_1328_6 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1774), (2292) imply:
% 291.51/57.52 | (2447) all_1348_2 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1847), (2420) imply:
% 291.51/57.52 | (2448) all_1351_2 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1889), (2417) imply:
% 291.51/57.52 | (2449) all_1354_2 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1883), (2402) imply:
% 291.51/57.52 | (2450) all_1357_2 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1684), (2417) imply:
% 291.51/57.52 | (2451) all_1366_2 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1879), (2402) imply:
% 291.51/57.52 | (2452) all_1369_2 = all_709_0
% 291.51/57.52 |
% 291.51/57.52 | COMBINE_EQS: (1859), (2402) imply:
% 291.51/57.53 | (2453) all_1384_2 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1857), (2407) imply:
% 291.51/57.53 | (2454) all_1390_1 = all_627_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1742), (2445) imply:
% 291.51/57.53 | (2455) all_1393_2 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1794), (2393) imply:
% 291.51/57.53 | (2456) all_1396_6 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1772), (2391) imply:
% 291.51/57.53 | (2457) all_1396_0 = all_635_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1714), (2102) imply:
% 291.51/57.53 | (2458) all_1398_3 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1843), (2402) imply:
% 291.51/57.53 | (2459) all_1401_2 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1821), (2407) imply:
% 291.51/57.53 | (2460) all_1410_1 = all_627_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1678), (1911) imply:
% 291.51/57.53 | (2461) all_1419_3 = all_1143_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1845), (2420) imply:
% 291.51/57.53 | (2462) all_1419_2 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1790), (2462) imply:
% 291.51/57.53 | (2463) all_1422_3 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1838), (2402) imply:
% 291.51/57.53 | (2464) all_1425_3 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1831), (2402) imply:
% 291.51/57.53 | (2465) all_1428_2 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1829), (2402) imply:
% 291.51/57.53 | (2466) all_1431_2 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1825), (2402) imply:
% 291.51/57.53 | (2467) all_1434_2 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1823), (2402) imply:
% 291.51/57.53 | (2468) all_1440_2 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1691), (2407) imply:
% 291.51/57.53 | (2469) all_1446_2 = all_627_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1709), (2449) imply:
% 291.51/57.53 | (2470) all_1449_2 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1784), (2402) imply:
% 291.51/57.53 | (2471) all_1455_3 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1337), (2431) imply:
% 291.51/57.53 | (2472) all_1458_3 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1341), (2393) imply:
% 291.51/57.53 | (2473) all_1467_3 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1343), (2462) imply:
% 291.51/57.53 | (2474) all_1470_3 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1345), (2406) imply:
% 291.51/57.53 | (2475) all_1476_2 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1766), (2402) imply:
% 291.51/57.53 | (2476) all_1479_2 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1348), (2292) imply:
% 291.51/57.53 | (2477) all_1488_3 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1603), (2420) imply:
% 291.51/57.53 | (2478) all_1494_3 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1723), (2402) imply:
% 291.51/57.53 | (2479) all_1497_3 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1351), (2398) imply:
% 291.51/57.53 | (2480) all_1509_2 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1354), (2433) imply:
% 291.51/57.53 | (2481) all_1515_2 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1735), (2445) imply:
% 291.51/57.53 | (2482) all_1518_3 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1357), (2340) imply:
% 291.51/57.53 | (2483) all_1521_2 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1358), (2482) imply:
% 291.51/57.53 | (2484) all_1524_3 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1680), (2402) imply:
% 291.51/57.53 | (2485) all_1542_2 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1565), (2207) imply:
% 291.51/57.53 | (2486) all_1545_2 = all_627_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1363), (2102) imply:
% 291.51/57.53 | (2487) all_1554_3 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1696), (2149) imply:
% 291.51/57.53 | (2488) all_1557_7 = all_901_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1698), (2470) imply:
% 291.51/57.53 | (2489) all_1557_6 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1570), (2427) imply:
% 291.51/57.53 | (2490) all_1560_1 = all_627_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1641), (2489) imply:
% 291.51/57.53 | (2491) all_1563_3 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1672), (2149) imply:
% 291.51/57.53 | (2492) all_1566_4 = all_901_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1369), (2422) imply:
% 291.51/57.53 | (2493) all_1566_3 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1572), (2469) imply:
% 291.51/57.53 | (2494) all_1569_1 = all_627_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1670), (2417) imply:
% 291.51/57.53 | (2495) all_1575_2 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1665), (2402) imply:
% 291.51/57.53 | (2496) all_1578_4 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1620), (2461) imply:
% 291.51/57.53 | (2497) all_1581_13 = all_1143_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1624), (2149) imply:
% 291.51/57.53 | (2498) all_1581_12 = all_901_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1639), (2417) imply:
% 291.51/57.53 | (2499) all_1581_11 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1260), (2401) imply:
% 291.51/57.53 | (2500) all_1581_2 = all_635_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1656), (2402) imply:
% 291.51/57.53 | (2501) all_1583_2 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1376), (2400) imply:
% 291.51/57.53 | (2502) all_1586_5 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1626), (2402) imply:
% 291.51/57.53 | (2503) all_1589_3 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1605), (2489) imply:
% 291.51/57.53 | (2504) all_1592_2 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1616), (2417) imply:
% 291.51/57.53 | (2505) all_1595_3 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1424), (1759) imply:
% 291.51/57.53 | (2506) all_1601_9 = all_901_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1382), (2424) imply:
% 291.51/57.53 | (2507) all_1601_8 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1384), (2402) imply:
% 291.51/57.53 | (2508) all_1604_5 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1427), (2149) imply:
% 291.51/57.53 | (2509) all_1604_2 = all_901_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1386), (2417) imply:
% 291.51/57.53 | (2510) all_1619_2 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1387), (2504) imply:
% 291.51/57.53 | (2511) all_1628_2 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1390), (2478) imply:
% 291.51/57.53 | (2512) all_1631_22 = all_709_0
% 291.51/57.53 |
% 291.51/57.53 | COMBINE_EQS: (1263), (2391) imply:
% 291.51/57.53 | (2513) all_1631_15 = all_635_0
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1229), (2513) imply:
% 291.51/57.53 | (2514) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_635_0,
% 291.51/57.53 | all_1631_2) = all_1631_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1228), (2513) imply:
% 291.51/57.53 | (2515) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, all_635_0,
% 291.51/57.53 | all_1631_13) = all_1631_12
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1119), (2494) imply:
% 291.51/57.53 | (2516) c_Nat_OSuc(all_627_0) = all_1569_0
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1106), (2490) imply:
% 291.51/57.53 | (2517) c_Nat_OSuc(all_627_0) = all_1560_0
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1090), (1568) imply:
% 291.51/57.53 | (2518) c_Nat_OSuc(all_627_0) = all_1551_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1085), (2486) imply:
% 291.51/57.53 | (2519) c_Nat_OSuc(all_627_0) = all_1545_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (935), (2460) imply:
% 291.51/57.53 | (2520) c_Nat_OSuc(all_627_0) = all_1410_0
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (901), (2454) imply:
% 291.51/57.53 | (2521) c_Nat_OSuc(all_627_0) = all_1390_0
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (653), (1985) imply:
% 291.51/57.53 | (2522) c_Nat_OSuc(all_627_0) = all_1141_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (620), (2414) imply:
% 291.51/57.53 | (2523) c_Nat_OSuc(all_627_0) = all_1093_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (593), (2411) imply:
% 291.51/57.53 | (2524) c_Nat_OSuc(all_627_0) = all_1058_0
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (577), (2407) imply:
% 291.51/57.53 | (2525) c_Nat_OSuc(all_627_0) = all_1051_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (564), (2404) imply:
% 291.51/57.53 | (2526) c_Nat_OSuc(all_627_0) = all_1044_3
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (548), (2172) imply:
% 291.51/57.53 | (2527) c_Nat_OSuc(all_627_0) = all_1023_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (463), (2395) imply:
% 291.51/57.53 | (2528) c_Nat_OSuc(all_627_0) = all_910_0
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (431), (2254) imply:
% 291.51/57.53 | (2529) c_Nat_OSuc(all_627_0) = all_845_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (393), (2319), (2321) imply:
% 291.51/57.53 | (2530) c_Nat_OSuc(all_627_0) = all_725_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (339), (2353) imply:
% 291.51/57.53 | (2531) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_z) =
% 291.51/57.53 | all_635_0
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (919), (2457) imply:
% 291.51/57.53 | (2532) c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1396_3,
% 291.51/57.53 | all_1396_1) = all_635_0
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1223), (2512) imply:
% 291.51/57.53 | (2533) c_Int_OBit0(all_709_0) = all_1631_21
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1211), (2511) imply:
% 291.51/57.53 | (2534) c_Int_OBit0(all_709_0) = all_1628_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1201), (2510) imply:
% 291.51/57.53 | (2535) c_Int_OBit0(all_709_0) = all_1619_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1193), (2508) imply:
% 291.51/57.53 | (2536) c_Int_OBit0(all_709_0) = all_1604_4
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1184), (2507) imply:
% 291.51/57.53 | (2537) c_Int_OBit0(all_709_0) = all_1601_7
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1176), (2505) imply:
% 291.51/57.53 | (2538) c_Int_OBit0(all_709_0) = all_1595_2
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1169), (2504) imply:
% 291.51/57.53 | (2539) c_Int_OBit0(all_709_0) = all_1592_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1163), (2503) imply:
% 291.51/57.53 | (2540) c_Int_OBit0(all_709_0) = all_1589_2
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1158), (2502) imply:
% 291.51/57.53 | (2541) c_Int_OBit0(all_709_0) = all_1586_4
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1153), (2501) imply:
% 291.51/57.53 | (2542) c_Int_OBit0(all_709_0) = all_1583_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1147), (2499) imply:
% 291.51/57.53 | (2543) c_Int_OBit0(all_709_0) = all_1581_10
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1130), (2496) imply:
% 291.51/57.53 | (2544) c_Int_OBit0(all_709_0) = all_1578_3
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1125), (2495) imply:
% 291.51/57.53 | (2545) c_Int_OBit0(all_709_0) = all_1575_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1115), (2493) imply:
% 291.51/57.53 | (2546) c_Int_OBit0(all_709_0) = all_1566_2
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1110), (2491) imply:
% 291.51/57.53 | (2547) c_Int_OBit0(all_709_0) = all_1563_2
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1101), (2489) imply:
% 291.51/57.53 | (2548) c_Int_OBit0(all_709_0) = all_1557_5
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1094), (2487) imply:
% 291.51/57.53 | (2549) c_Int_OBit0(all_709_0) = all_1554_2
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1082), (2485) imply:
% 291.51/57.53 | (2550) c_Int_OBit0(all_709_0) = all_1542_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1072), (2484) imply:
% 291.51/57.53 | (2551) c_Int_OBit0(all_709_0) = all_1524_2
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1068), (2483) imply:
% 291.51/57.53 | (2552) c_Int_OBit0(all_709_0) = all_1521_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1062), (2482) imply:
% 291.51/57.53 | (2553) c_Int_OBit0(all_709_0) = all_1518_2
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1058), (2481) imply:
% 291.51/57.53 | (2554) c_Int_OBit0(all_709_0) = all_1515_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1052), (2480) imply:
% 291.51/57.53 | (2555) c_Int_OBit0(all_709_0) = all_1509_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1040), (2479) imply:
% 291.51/57.53 | (2556) c_Int_OBit0(all_709_0) = all_1497_2
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1036), (2478) imply:
% 291.51/57.53 | (2557) c_Int_OBit0(all_709_0) = all_1494_2
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1029), (2477) imply:
% 291.51/57.53 | (2558) c_Int_OBit0(all_709_0) = all_1488_2
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1019), (2476) imply:
% 291.51/57.53 | (2559) c_Int_OBit0(all_709_0) = all_1479_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1015), (2475) imply:
% 291.51/57.53 | (2560) c_Int_OBit0(all_709_0) = all_1476_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1009), (2474) imply:
% 291.51/57.53 | (2561) c_Int_OBit0(all_709_0) = all_1470_2
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1003), (2473) imply:
% 291.51/57.53 | (2562) c_Int_OBit0(all_709_0) = all_1467_2
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (994), (2472) imply:
% 291.51/57.53 | (2563) c_Int_OBit0(all_709_0) = all_1458_2
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (988), (2471) imply:
% 291.51/57.53 | (2564) c_Int_OBit0(all_709_0) = all_1455_2
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (981), (2470) imply:
% 291.51/57.53 | (2565) c_Int_OBit0(all_709_0) = all_1449_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (971), (2468) imply:
% 291.51/57.53 | (2566) c_Int_OBit0(all_709_0) = all_1440_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (966), (2467) imply:
% 291.51/57.53 | (2567) c_Int_OBit0(all_709_0) = all_1434_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (960), (2466) imply:
% 291.51/57.53 | (2568) c_Int_OBit0(all_709_0) = all_1431_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (955), (2465) imply:
% 291.51/57.53 | (2569) c_Int_OBit0(all_709_0) = all_1428_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (951), (2464) imply:
% 291.51/57.53 | (2570) c_Int_OBit0(all_709_0) = all_1425_2
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (947), (2463) imply:
% 291.51/57.53 | (2571) c_Int_OBit0(all_709_0) = all_1422_2
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (942), (2462) imply:
% 291.51/57.53 | (2572) c_Int_OBit0(all_709_0) = all_1419_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (928), (2459) imply:
% 291.51/57.53 | (2573) c_Int_OBit0(all_709_0) = all_1401_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (922), (2458) imply:
% 291.51/57.53 | (2574) c_Int_OBit0(all_709_0) = all_1398_2
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (916), (2456) imply:
% 291.51/57.53 | (2575) c_Int_OBit0(all_709_0) = all_1396_5
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (905), (2455) imply:
% 291.51/57.53 | (2576) c_Int_OBit0(all_709_0) = all_1393_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (896), (2453) imply:
% 291.51/57.53 | (2577) c_Int_OBit0(all_709_0) = all_1384_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (889), (2452) imply:
% 291.51/57.53 | (2578) c_Int_OBit0(all_709_0) = all_1369_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (884), (2451) imply:
% 291.51/57.53 | (2579) c_Int_OBit0(all_709_0) = all_1366_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (875), (2450) imply:
% 291.51/57.53 | (2580) c_Int_OBit0(all_709_0) = all_1357_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (869), (2449) imply:
% 291.51/57.53 | (2581) c_Int_OBit0(all_709_0) = all_1354_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (864), (2448) imply:
% 291.51/57.53 | (2582) c_Int_OBit0(all_709_0) = all_1351_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (860), (2447) imply:
% 291.51/57.53 | (2583) c_Int_OBit0(all_709_0) = all_1348_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (847), (2446) imply:
% 291.51/57.53 | (2584) c_Int_OBit0(all_709_0) = all_1328_5
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (839), (2445) imply:
% 291.51/57.53 | (2585) c_Int_OBit0(all_709_0) = all_1325_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (828), (2443) imply:
% 291.51/57.53 | (2586) c_Int_OBit0(all_709_0) = all_1311_5
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (812), (2441) imply:
% 291.51/57.53 | (2587) c_Int_OBit0(all_709_0) = all_1299_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (807), (2440) imply:
% 291.51/57.53 | (2588) c_Int_OBit0(all_709_0) = all_1296_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (803), (2439) imply:
% 291.51/57.53 | (2589) c_Int_OBit0(all_709_0) = all_1293_0
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (796), (2438) imply:
% 291.51/57.53 | (2590) c_Int_OBit0(all_709_0) = all_1278_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (789), (2437) imply:
% 291.51/57.53 | (2591) c_Int_OBit0(all_709_0) = all_1270_3
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (776), (2436) imply:
% 291.51/57.53 | (2592) c_Int_OBit0(all_709_0) = all_1261_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (762), (2435) imply:
% 291.51/57.53 | (2593) c_Int_OBit0(all_709_0) = all_1244_4
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (755), (2434) imply:
% 291.51/57.53 | (2594) c_Int_OBit0(all_709_0) = all_1241_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (750), (2433) imply:
% 291.51/57.53 | (2595) c_Int_OBit0(all_709_0) = all_1239_4
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (742), (2432) imply:
% 291.51/57.53 | (2596) c_Int_OBit0(all_709_0) = all_1236_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (737), (2431) imply:
% 291.51/57.53 | (2597) c_Int_OBit0(all_709_0) = all_1233_2
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (730), (2430) imply:
% 291.51/57.53 | (2598) c_Int_OBit0(all_709_0) = all_1228_3
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (711), (2429) imply:
% 291.51/57.53 | (2599) c_Int_OBit0(all_709_0) = all_1207_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (703), (2428) imply:
% 291.51/57.53 | (2600) c_Int_OBit0(all_709_0) = all_1201_0
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (695), (2426) imply:
% 291.51/57.53 | (2601) c_Int_OBit0(all_709_0) = all_1192_2
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (688), (2425) imply:
% 291.51/57.53 | (2602) c_Int_OBit0(all_709_0) = all_1183_2
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (684), (2424) imply:
% 291.51/57.53 | (2603) c_Int_OBit0(all_709_0) = all_1180_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (680), (2423) imply:
% 291.51/57.53 | (2604) c_Int_OBit0(all_709_0) = all_1178_2
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (676), (2422) imply:
% 291.51/57.53 | (2605) c_Int_OBit0(all_709_0) = all_1175_0
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (671), (2421) imply:
% 291.51/57.53 | (2606) c_Int_OBit0(all_709_0) = all_1166_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (667), (2420) imply:
% 291.51/57.53 | (2607) c_Int_OBit0(all_709_0) = all_1163_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (663), (2419) imply:
% 291.51/57.53 | (2608) c_Int_OBit0(all_709_0) = all_1154_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (647), (2418) imply:
% 291.51/57.53 | (2609) c_Int_OBit0(all_709_0) = all_1132_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (643), (2417) imply:
% 291.51/57.53 | (2610) c_Int_OBit0(all_709_0) = all_1129_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (636), (2416) imply:
% 291.51/57.53 | (2611) c_Int_OBit0(all_709_0) = all_1123_0
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (630), (2415) imply:
% 291.51/57.53 | (2612) c_Int_OBit0(all_709_0) = all_1111_0
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (603), (2413) imply:
% 291.51/57.53 | (2613) c_Int_OBit0(all_709_0) = all_1072_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (599), (2412) imply:
% 291.51/57.53 | (2614) c_Int_OBit0(all_709_0) = all_1069_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (591), (2410) imply:
% 291.51/57.53 | (2615) c_Int_OBit0(all_709_0) = all_1058_3
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (586), (2409) imply:
% 291.51/57.53 | (2616) c_Int_OBit0(all_709_0) = all_1056_2
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (582), (2408) imply:
% 291.51/57.53 | (2617) c_Int_OBit0(all_709_0) = all_1054_2
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (570), (2406) imply:
% 291.51/57.53 | (2618) c_Int_OBit0(all_709_0) = all_1046_2
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (562), (2405) imply:
% 291.51/57.53 | (2619) c_Int_OBit0(all_709_0) = all_1044_0
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (556), (2403) imply:
% 291.51/57.53 | (2620) c_Int_OBit0(all_709_0) = all_1038_0
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (506), (2399) imply:
% 291.51/57.53 | (2621) c_Int_OBit0(all_709_0) = all_957_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (482), (2398) imply:
% 291.51/57.53 | (2622) c_Int_OBit0(all_709_0) = all_929_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (470), (2396) imply:
% 291.51/57.53 | (2623) c_Int_OBit0(all_709_0) = all_916_0
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (326), (2376) imply:
% 291.51/57.53 | (2624) c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls) =
% 291.51/57.53 | c_Int_OPls
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1219), (1431) imply:
% 291.51/57.53 | (2625) hAPP(all_901_0, all_1631_19) = all_1631_16
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1190), (2509) imply:
% 291.51/57.53 | (2626) hAPP(all_901_0, all_1604_1) = all_1604_0
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1180), (2506) imply:
% 291.51/57.53 | (2627) hAPP(all_901_0, all_1601_1) = all_1601_0
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1179), (2506) imply:
% 291.51/57.53 | (2628) hAPP(all_901_0, all_1601_5) = all_1601_4
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1139), (2498) imply:
% 291.51/57.53 | (2629) hAPP(all_901_0, all_1581_9) = all_1581_8
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1138), (2497), (2500) imply:
% 291.51/57.53 | (2630) hAPP(all_1143_0, all_635_0) = all_1581_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1137), (2497) imply:
% 291.51/57.53 | (2631) hAPP(all_1143_0, all_1581_6) = all_1581_5
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1113), (2492) imply:
% 291.51/57.53 | (2632) hAPP(all_901_0, all_1566_1) = all_1566_0
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (1097), (2488) imply:
% 291.51/57.53 | (2633) hAPP(all_901_0, all_1557_4) = all_1557_3
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (911), (1827) imply:
% 291.51/57.53 | (2634) hAPP(all_1143_0, v_y____) = all_1396_2
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (910), (1827) imply:
% 291.51/57.53 | (2635) hAPP(all_1143_0, v_x____) = all_1396_7
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (842), (1893) imply:
% 291.51/57.53 | (2636) hAPP(all_901_0, all_1328_4) = all_1328_3
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (823), (2442) imply:
% 291.51/57.53 | (2637) hAPP(all_901_0, all_1311_4) = all_1311_3
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (785), (1957) imply:
% 291.51/57.53 | (2638) hAPP(all_901_0, all_1270_2) = all_1270_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (758), (1971) imply:
% 291.51/57.53 | (2639) hAPP(all_901_0, all_1244_3) = all_1244_2
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (746), (1993) imply:
% 291.51/57.53 | (2640) hAPP(all_901_0, all_1239_3) = all_1239_2
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (734), (1977) imply:
% 291.51/57.53 | (2641) hAPP(all_1143_0, all_1233_1) = all_1233_0
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (726), (2001) imply:
% 291.51/57.53 | (2642) hAPP(all_901_0, all_1228_2) = all_1228_1
% 291.51/57.53 |
% 291.51/57.53 | REDUCE: (337), (2353) imply:
% 291.51/57.54 | (2643) $i(all_635_0)
% 291.51/57.54 |
% 291.51/57.54 | REDUCE: (321), (2387) imply:
% 291.51/57.54 | (2644) $i(c_Int_OPls)
% 291.51/57.54 |
% 291.51/57.54 | REDUCE: (479), (2397) imply:
% 291.51/57.54 | (2645) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls,
% 291.51/57.54 | all_929_0)
% 291.51/57.54 |
% 291.51/57.54 | REDUCE: (822), (2444) imply:
% 291.51/57.54 | (2646) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1311_1,
% 291.51/57.54 | all_635_0)
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_957_1, all_1038_0, all_709_0,
% 291.51/57.54 | simplifying with (2620), (2621) gives:
% 291.51/57.54 | (2647) all_1038_0 = all_957_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_957_1, all_1054_2, all_709_0,
% 291.51/57.54 | simplifying with (2617), (2621) gives:
% 291.51/57.54 | (2648) all_1054_2 = all_957_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_929_1, all_1054_2, all_709_0,
% 291.51/57.54 | simplifying with (2617), (2622) gives:
% 291.51/57.54 | (2649) all_1054_2 = all_929_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1054_2, all_1056_2, all_709_0,
% 291.51/57.54 | simplifying with (2616), (2617) gives:
% 291.51/57.54 | (2650) all_1056_2 = all_1054_2
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1056_2, all_1058_3, all_709_0,
% 291.51/57.54 | simplifying with (2615), (2616) gives:
% 291.51/57.54 | (2651) all_1058_3 = all_1056_2
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1058_3, all_1069_1, all_709_0,
% 291.51/57.54 | simplifying with (2614), (2615) gives:
% 291.51/57.54 | (2652) all_1069_1 = all_1058_3
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1054_2, all_1123_0, all_709_0,
% 291.51/57.54 | simplifying with (2611), (2617) gives:
% 291.51/57.54 | (2653) all_1123_0 = all_1054_2
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1129_1, all_1132_1, all_709_0,
% 291.51/57.54 | simplifying with (2609), (2610) gives:
% 291.51/57.54 | (2654) all_1132_1 = all_1129_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1163_1, all_1166_1, all_709_0,
% 291.51/57.54 | simplifying with (2606), (2607) gives:
% 291.51/57.54 | (2655) all_1166_1 = all_1163_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1166_1, all_1175_0, all_709_0,
% 291.51/57.54 | simplifying with (2605), (2606) gives:
% 291.51/57.54 | (2656) all_1175_0 = all_1166_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1175_0, all_1178_2, all_709_0,
% 291.51/57.54 | simplifying with (2604), (2605) gives:
% 291.51/57.54 | (2657) all_1178_2 = all_1175_0
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1178_2, all_1180_1, all_709_0,
% 291.51/57.54 | simplifying with (2603), (2604) gives:
% 291.51/57.54 | (2658) all_1180_1 = all_1178_2
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1180_1, all_1183_2, all_709_0,
% 291.51/57.54 | simplifying with (2602), (2603) gives:
% 291.51/57.54 | (2659) all_1183_2 = all_1180_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1183_2, all_1192_2, all_709_0,
% 291.51/57.54 | simplifying with (2601), (2602) gives:
% 291.51/57.54 | (2660) all_1192_2 = all_1183_2
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1192_2, all_1201_0, all_709_0,
% 291.51/57.54 | simplifying with (2600), (2601) gives:
% 291.51/57.54 | (2661) all_1201_0 = all_1192_2
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1201_0, all_1207_1, all_709_0,
% 291.51/57.54 | simplifying with (2599), (2600) gives:
% 291.51/57.54 | (2662) all_1207_1 = all_1201_0
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1207_1, all_1228_3, all_709_0,
% 291.51/57.54 | simplifying with (2598), (2599) gives:
% 291.51/57.54 | (2663) all_1228_3 = all_1207_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1228_3, all_1233_2, all_709_0,
% 291.51/57.54 | simplifying with (2597), (2598) gives:
% 291.51/57.54 | (2664) all_1233_2 = all_1228_3
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1233_2, all_1236_1, all_709_0,
% 291.51/57.54 | simplifying with (2596), (2597) gives:
% 291.51/57.54 | (2665) all_1236_1 = all_1233_2
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1236_1, all_1239_4, all_709_0,
% 291.51/57.54 | simplifying with (2595), (2596) gives:
% 291.51/57.54 | (2666) all_1239_4 = all_1236_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1239_4, all_1241_1, all_709_0,
% 291.51/57.54 | simplifying with (2594), (2595) gives:
% 291.51/57.54 | (2667) all_1241_1 = all_1239_4
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1261_1, all_1270_3, all_709_0,
% 291.51/57.54 | simplifying with (2591), (2592) gives:
% 291.51/57.54 | (2668) all_1270_3 = all_1261_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1293_0, all_1296_1, all_709_0,
% 291.51/57.54 | simplifying with (2588), (2589) gives:
% 291.51/57.54 | (2669) all_1296_1 = all_1293_0
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1296_1, all_1299_1, all_709_0,
% 291.51/57.54 | simplifying with (2587), (2588) gives:
% 291.51/57.54 | (2670) all_1299_1 = all_1296_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1299_1, all_1311_5, all_709_0,
% 291.51/57.54 | simplifying with (2586), (2587) gives:
% 291.51/57.54 | (2671) all_1311_5 = all_1299_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1311_5, all_1325_1, all_709_0,
% 291.51/57.54 | simplifying with (2585), (2586) gives:
% 291.51/57.54 | (2672) all_1325_1 = all_1311_5
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1325_1, all_1328_5, all_709_0,
% 291.51/57.54 | simplifying with (2584), (2585) gives:
% 291.51/57.54 | (2673) all_1328_5 = all_1325_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1328_5, all_1348_1, all_709_0,
% 291.51/57.54 | simplifying with (2583), (2584) gives:
% 291.51/57.54 | (2674) all_1348_1 = all_1328_5
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1369_1, all_1384_1, all_709_0,
% 291.51/57.54 | simplifying with (2577), (2578) gives:
% 291.51/57.54 | (2675) all_1384_1 = all_1369_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1384_1, all_1393_1, all_709_0,
% 291.51/57.54 | simplifying with (2576), (2577) gives:
% 291.51/57.54 | (2676) all_1393_1 = all_1384_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1393_1, all_1396_5, all_709_0,
% 291.51/57.54 | simplifying with (2575), (2576) gives:
% 291.51/57.54 | (2677) all_1396_5 = all_1393_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1396_5, all_1398_2, all_709_0,
% 291.51/57.54 | simplifying with (2574), (2575) gives:
% 291.51/57.54 | (2678) all_1398_2 = all_1396_5
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1419_1, all_1422_2, all_709_0,
% 291.51/57.54 | simplifying with (2571), (2572) gives:
% 291.51/57.54 | (2679) all_1422_2 = all_1419_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1422_2, all_1425_2, all_709_0,
% 291.51/57.54 | simplifying with (2570), (2571) gives:
% 291.51/57.54 | (2680) all_1425_2 = all_1422_2
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1425_2, all_1428_1, all_709_0,
% 291.51/57.54 | simplifying with (2569), (2570) gives:
% 291.51/57.54 | (2681) all_1428_1 = all_1425_2
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1428_1, all_1431_1, all_709_0,
% 291.51/57.54 | simplifying with (2568), (2569) gives:
% 291.51/57.54 | (2682) all_1431_1 = all_1428_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1431_1, all_1434_1, all_709_0,
% 291.51/57.54 | simplifying with (2567), (2568) gives:
% 291.51/57.54 | (2683) all_1434_1 = all_1431_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1434_1, all_1440_1, all_709_0,
% 291.51/57.54 | simplifying with (2566), (2567) gives:
% 291.51/57.54 | (2684) all_1440_1 = all_1434_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1351_1, all_1449_1, all_709_0,
% 291.51/57.54 | simplifying with (2565), (2582) gives:
% 291.51/57.54 | (2685) all_1449_1 = all_1351_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1348_1, all_1449_1, all_709_0,
% 291.51/57.54 | simplifying with (2565), (2583) gives:
% 291.51/57.54 | (2686) all_1449_1 = all_1348_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1038_0, all_1455_2, all_709_0,
% 291.51/57.54 | simplifying with (2564), (2620) gives:
% 291.51/57.54 | (2687) all_1455_2 = all_1038_0
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_916_0, all_1455_2, all_709_0,
% 291.51/57.54 | simplifying with (2564), (2623) gives:
% 291.51/57.54 | (2688) all_1455_2 = all_916_0
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1293_0, all_1467_2, all_709_0,
% 291.51/57.54 | simplifying with (2562), (2589) gives:
% 291.51/57.54 | (2689) all_1467_2 = all_1293_0
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1270_3, all_1467_2, all_709_0,
% 291.51/57.54 | simplifying with (2562), (2591) gives:
% 291.51/57.54 | (2690) all_1467_2 = all_1270_3
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1470_2, all_1476_1, all_709_0,
% 291.51/57.54 | simplifying with (2560), (2561) gives:
% 291.51/57.54 | (2691) all_1476_1 = all_1470_2
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1123_0, all_1479_1, all_709_0,
% 291.51/57.54 | simplifying with (2559), (2611) gives:
% 291.51/57.54 | (2692) all_1479_1 = all_1123_0
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1044_0, all_1479_1, all_709_0,
% 291.51/57.54 | simplifying with (2559), (2619) gives:
% 291.51/57.54 | (2693) all_1479_1 = all_1044_0
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1369_1, all_1488_2, all_709_0,
% 291.51/57.54 | simplifying with (2558), (2578) gives:
% 291.51/57.54 | (2694) all_1488_2 = all_1369_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1366_1, all_1488_2, all_709_0,
% 291.51/57.54 | simplifying with (2558), (2579) gives:
% 291.51/57.54 | (2695) all_1488_2 = all_1366_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1357_1, all_1488_2, all_709_0,
% 291.51/57.54 | simplifying with (2558), (2580) gives:
% 291.51/57.54 | (2696) all_1488_2 = all_1357_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1497_2, all_1509_1, all_709_0,
% 291.51/57.54 | simplifying with (2555), (2556) gives:
% 291.51/57.54 | (2697) all_1509_1 = all_1497_2
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1476_1, all_1509_1, all_709_0,
% 291.51/57.54 | simplifying with (2555), (2560) gives:
% 291.51/57.54 | (2698) all_1509_1 = all_1476_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1497_2, all_1515_1, all_709_0,
% 291.51/57.54 | simplifying with (2554), (2556) gives:
% 291.51/57.54 | (2699) all_1515_1 = all_1497_2
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1509_1, all_1524_2, all_709_0,
% 291.51/57.54 | simplifying with (2551), (2555) gives:
% 291.51/57.54 | (2700) all_1524_2 = all_1509_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1524_2, all_1542_1, all_709_0,
% 291.51/57.54 | simplifying with (2550), (2551) gives:
% 291.51/57.54 | (2701) all_1542_1 = all_1524_2
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1542_1, all_1554_2, all_709_0,
% 291.51/57.54 | simplifying with (2549), (2550) gives:
% 291.51/57.54 | (2702) all_1554_2 = all_1542_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1554_2, all_1557_5, all_709_0,
% 291.51/57.54 | simplifying with (2548), (2549) gives:
% 291.51/57.54 | (2703) all_1557_5 = all_1554_2
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1557_5, all_1563_2, all_709_0,
% 291.51/57.54 | simplifying with (2547), (2548) gives:
% 291.51/57.54 | (2704) all_1563_2 = all_1557_5
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1563_2, all_1566_2, all_709_0,
% 291.51/57.54 | simplifying with (2546), (2547) gives:
% 291.51/57.54 | (2705) all_1566_2 = all_1563_2
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1129_1, all_1575_1, all_709_0,
% 291.51/57.54 | simplifying with (2545), (2610) gives:
% 291.51/57.54 | (2706) all_1575_1 = all_1129_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1072_1, all_1575_1, all_709_0,
% 291.51/57.54 | simplifying with (2545), (2613) gives:
% 291.51/57.54 | (2707) all_1575_1 = all_1072_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1069_1, all_1575_1, all_709_0,
% 291.51/57.54 | simplifying with (2545), (2614) gives:
% 291.51/57.54 | (2708) all_1575_1 = all_1069_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1566_2, all_1578_3, all_709_0,
% 291.51/57.54 | simplifying with (2544), (2546) gives:
% 291.51/57.54 | (2709) all_1578_3 = all_1566_2
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1467_2, all_1581_10, all_709_0,
% 291.51/57.54 | simplifying with (2543), (2562) gives:
% 291.51/57.54 | (2710) all_1581_10 = all_1467_2
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1278_1, all_1581_10, all_709_0,
% 291.51/57.54 | simplifying with (2543), (2590) gives:
% 291.51/57.54 | (2711) all_1581_10 = all_1278_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1583_1, all_1586_4, all_709_0,
% 291.51/57.54 | simplifying with (2541), (2542) gives:
% 291.51/57.54 | (2712) all_1586_4 = all_1583_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1455_2, all_1586_4, all_709_0,
% 291.51/57.54 | simplifying with (2541), (2564) gives:
% 291.51/57.54 | (2713) all_1586_4 = all_1455_2
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1111_0, all_1586_4, all_709_0,
% 291.51/57.54 | simplifying with (2541), (2612) gives:
% 291.51/57.54 | (2714) all_1586_4 = all_1111_0
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1515_1, all_1589_2, all_709_0,
% 291.51/57.54 | simplifying with (2540), (2554) gives:
% 291.51/57.54 | (2715) all_1589_2 = all_1515_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1046_2, all_1589_2, all_709_0,
% 291.51/57.54 | simplifying with (2540), (2618) gives:
% 291.51/57.54 | (2716) all_1589_2 = all_1046_2
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1521_1, all_1592_1, all_709_0,
% 291.51/57.54 | simplifying with (2539), (2552) gives:
% 291.51/57.54 | (2717) all_1592_1 = all_1521_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1470_2, all_1592_1, all_709_0,
% 291.51/57.54 | simplifying with (2539), (2561) gives:
% 291.51/57.54 | (2718) all_1592_1 = all_1470_2
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1458_2, all_1592_1, all_709_0,
% 291.51/57.54 | simplifying with (2539), (2563) gives:
% 291.51/57.54 | (2719) all_1592_1 = all_1458_2
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1440_1, all_1592_1, all_709_0,
% 291.51/57.54 | simplifying with (2539), (2566) gives:
% 291.51/57.54 | (2720) all_1592_1 = all_1440_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1578_3, all_1595_2, all_709_0,
% 291.51/57.54 | simplifying with (2538), (2544) gives:
% 291.51/57.54 | (2721) all_1595_2 = all_1578_3
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1419_1, all_1601_7, all_709_0,
% 291.51/57.54 | simplifying with (2537), (2572) gives:
% 291.51/57.54 | (2722) all_1601_7 = all_1419_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1401_1, all_1601_7, all_709_0,
% 291.51/57.54 | simplifying with (2537), (2573) gives:
% 291.51/57.54 | (2723) all_1601_7 = all_1401_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1398_2, all_1601_7, all_709_0,
% 291.51/57.54 | simplifying with (2537), (2574) gives:
% 291.51/57.54 | (2724) all_1601_7 = all_1398_2
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1261_1, all_1604_4, all_709_0,
% 291.51/57.54 | simplifying with (2536), (2592) gives:
% 291.51/57.54 | (2725) all_1604_4 = all_1261_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1244_4, all_1604_4, all_709_0,
% 291.51/57.54 | simplifying with (2536), (2593) gives:
% 291.51/57.54 | (2726) all_1604_4 = all_1244_4
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1241_1, all_1604_4, all_709_0,
% 291.51/57.54 | simplifying with (2536), (2594) gives:
% 291.51/57.54 | (2727) all_1604_4 = all_1241_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1163_1, all_1619_1, all_709_0,
% 291.51/57.54 | simplifying with (2535), (2607) gives:
% 291.51/57.54 | (2728) all_1619_1 = all_1163_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1154_1, all_1619_1, all_709_0,
% 291.51/57.54 | simplifying with (2535), (2608) gives:
% 291.51/57.54 | (2729) all_1619_1 = all_1154_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1132_1, all_1619_1, all_709_0,
% 291.51/57.54 | simplifying with (2535), (2609) gives:
% 291.51/57.54 | (2730) all_1619_1 = all_1132_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1518_2, all_1628_1, all_709_0,
% 291.51/57.54 | simplifying with (2534), (2553) gives:
% 291.51/57.54 | (2731) all_1628_1 = all_1518_2
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1449_1, all_1628_1, all_709_0,
% 291.51/57.54 | simplifying with (2534), (2565) gives:
% 291.51/57.54 | (2732) all_1628_1 = all_1449_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1357_1, all_1628_1, all_709_0,
% 291.51/57.54 | simplifying with (2534), (2580) gives:
% 291.51/57.54 | (2733) all_1628_1 = all_1357_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1354_1, all_1628_1, all_709_0,
% 291.51/57.54 | simplifying with (2534), (2581) gives:
% 291.51/57.54 | (2734) all_1628_1 = all_1354_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1595_2, all_1631_21, all_709_0,
% 291.51/57.54 | simplifying with (2533), (2538) gives:
% 291.51/57.54 | (2735) all_1631_21 = all_1595_2
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (303) with all_1494_2, all_1631_21, all_709_0,
% 291.51/57.54 | simplifying with (2533), (2557) gives:
% 291.51/57.54 | (2736) all_1631_21 = all_1494_2
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (307) with all_725_1, all_910_0, all_627_0,
% 291.51/57.54 | simplifying with (2528), (2530) gives:
% 291.51/57.54 | (2737) all_910_0 = all_725_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (307) with all_910_0, all_1044_3, all_627_0,
% 291.51/57.54 | simplifying with (2526), (2528) gives:
% 291.51/57.54 | (2738) all_1044_3 = all_910_0
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (307) with all_845_1, all_1044_3, all_627_0,
% 291.51/57.54 | simplifying with (2526), (2529) gives:
% 291.51/57.54 | (2739) all_1044_3 = all_845_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (307) with all_1044_3, all_1051_1, all_627_0,
% 291.51/57.54 | simplifying with (2525), (2526) gives:
% 291.51/57.54 | (2740) all_1051_1 = all_1044_3
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (307) with all_1051_1, all_1058_0, all_627_0,
% 291.51/57.54 | simplifying with (2524), (2525) gives:
% 291.51/57.54 | (2741) all_1058_0 = all_1051_1
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (307) with all_1058_0, all_1093_1, all_627_0,
% 291.51/57.54 | simplifying with (2523), (2524) gives:
% 291.51/57.54 | (2742) all_1093_1 = all_1058_0
% 291.51/57.54 |
% 291.51/57.54 | GROUND_INST: instantiating (307) with all_1390_0, all_1410_0, all_627_0,
% 291.51/57.54 | simplifying with (2520), (2521) gives:
% 291.51/57.54 | (2743) all_1410_0 = all_1390_0
% 291.51/57.54 |
% 291.51/57.55 | GROUND_INST: instantiating (307) with all_1141_1, all_1410_0, all_627_0,
% 291.51/57.55 | simplifying with (2520), (2522) gives:
% 291.51/57.55 | (2744) all_1410_0 = all_1141_1
% 291.51/57.55 |
% 291.51/57.55 | GROUND_INST: instantiating (307) with all_1093_1, all_1410_0, all_627_0,
% 291.51/57.55 | simplifying with (2520), (2523) gives:
% 291.51/57.55 | (2745) all_1410_0 = all_1093_1
% 291.51/57.55 |
% 291.51/57.55 | GROUND_INST: instantiating (307) with all_1390_0, all_1545_1, all_627_0,
% 291.51/57.55 | simplifying with (2519), (2521) gives:
% 291.51/57.55 | (2746) all_1545_1 = all_1390_0
% 291.51/57.55 |
% 291.51/57.55 | GROUND_INST: instantiating (307) with all_1545_1, all_1551_1, all_627_0,
% 291.51/57.55 | simplifying with (2518), (2519) gives:
% 291.51/57.55 | (2747) all_1551_1 = all_1545_1
% 291.51/57.55 |
% 291.51/57.55 | GROUND_INST: instantiating (307) with all_1551_1, all_1560_0, all_627_0,
% 291.51/57.55 | simplifying with (2517), (2518) gives:
% 291.51/57.55 | (2748) all_1560_0 = all_1551_1
% 291.51/57.55 |
% 291.51/57.55 | GROUND_INST: instantiating (307) with all_1560_0, all_1569_0, all_627_0,
% 291.51/57.55 | simplifying with (2516), (2517) gives:
% 291.51/57.55 | (2749) all_1569_0 = all_1560_0
% 291.51/57.55 |
% 291.51/57.55 | GROUND_INST: instantiating (307) with all_1023_1, all_1569_0, all_627_0,
% 291.51/57.55 | simplifying with (2516), (2527) gives:
% 291.51/57.55 | (2750) all_1569_0 = all_1023_1
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2735), (2736) imply:
% 291.51/57.55 | (2751) all_1595_2 = all_1494_2
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2751) implies:
% 291.51/57.55 | (2752) all_1595_2 = all_1494_2
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2731), (2734) imply:
% 291.51/57.55 | (2753) all_1518_2 = all_1354_1
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2731), (2733) imply:
% 291.51/57.55 | (2754) all_1518_2 = all_1357_1
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2731), (2732) imply:
% 291.51/57.55 | (2755) all_1518_2 = all_1449_1
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2728), (2729) imply:
% 291.51/57.55 | (2756) all_1163_1 = all_1154_1
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2756) implies:
% 291.51/57.55 | (2757) all_1163_1 = all_1154_1
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2729), (2730) imply:
% 291.51/57.55 | (2758) all_1154_1 = all_1132_1
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2726), (2727) imply:
% 291.51/57.55 | (2759) all_1244_4 = all_1241_1
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2725), (2726) imply:
% 291.51/57.55 | (2760) all_1261_1 = all_1244_4
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2760) implies:
% 291.51/57.55 | (2761) all_1261_1 = all_1244_4
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2722), (2723) imply:
% 291.51/57.55 | (2762) all_1419_1 = all_1401_1
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2762) implies:
% 291.51/57.55 | (2763) all_1419_1 = all_1401_1
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2723), (2724) imply:
% 291.51/57.55 | (2764) all_1401_1 = all_1398_2
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2721), (2752) imply:
% 291.51/57.55 | (2765) all_1578_3 = all_1494_2
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2765) implies:
% 291.51/57.55 | (2766) all_1578_3 = all_1494_2
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2717), (2720) imply:
% 291.51/57.55 | (2767) all_1521_1 = all_1440_1
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2717), (2719) imply:
% 291.51/57.55 | (2768) all_1521_1 = all_1458_2
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2717), (2718) imply:
% 291.51/57.55 | (2769) all_1521_1 = all_1470_2
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2715), (2716) imply:
% 291.51/57.55 | (2770) all_1515_1 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2770) implies:
% 291.51/57.55 | (2771) all_1515_1 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2712), (2713) imply:
% 291.51/57.55 | (2772) all_1583_1 = all_1455_2
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2712), (2714) imply:
% 291.51/57.55 | (2773) all_1583_1 = all_1111_0
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2772), (2773) imply:
% 291.51/57.55 | (2774) all_1455_2 = all_1111_0
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2774) implies:
% 291.51/57.55 | (2775) all_1455_2 = all_1111_0
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2710), (2711) imply:
% 291.51/57.55 | (2776) all_1467_2 = all_1278_1
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2776) implies:
% 291.51/57.55 | (2777) all_1467_2 = all_1278_1
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2709), (2766) imply:
% 291.51/57.55 | (2778) all_1566_2 = all_1494_2
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2778) implies:
% 291.51/57.55 | (2779) all_1566_2 = all_1494_2
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2706), (2707) imply:
% 291.51/57.55 | (2780) all_1129_1 = all_1072_1
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2780) implies:
% 291.51/57.55 | (2781) all_1129_1 = all_1072_1
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2707), (2708) imply:
% 291.51/57.55 | (2782) all_1072_1 = all_1069_1
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2749), (2750) imply:
% 291.51/57.55 | (2783) all_1560_0 = all_1023_1
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2783) implies:
% 291.51/57.55 | (2784) all_1560_0 = all_1023_1
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2705), (2779) imply:
% 291.51/57.55 | (2785) all_1563_2 = all_1494_2
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2785) implies:
% 291.51/57.55 | (2786) all_1563_2 = all_1494_2
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2704), (2786) imply:
% 291.51/57.55 | (2787) all_1557_5 = all_1494_2
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2787) implies:
% 291.51/57.55 | (2788) all_1557_5 = all_1494_2
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2748), (2784) imply:
% 291.51/57.55 | (2789) all_1551_1 = all_1023_1
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2789) implies:
% 291.51/57.55 | (2790) all_1551_1 = all_1023_1
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2703), (2788) imply:
% 291.51/57.55 | (2791) all_1554_2 = all_1494_2
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2791) implies:
% 291.51/57.55 | (2792) all_1554_2 = all_1494_2
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2702), (2792) imply:
% 291.51/57.55 | (2793) all_1542_1 = all_1494_2
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2793) implies:
% 291.51/57.55 | (2794) all_1542_1 = all_1494_2
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2747), (2790) imply:
% 291.51/57.55 | (2795) all_1545_1 = all_1023_1
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2795) implies:
% 291.51/57.55 | (2796) all_1545_1 = all_1023_1
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2746), (2796) imply:
% 291.51/57.55 | (2797) all_1390_0 = all_1023_1
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2797) implies:
% 291.51/57.55 | (2798) all_1390_0 = all_1023_1
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2701), (2794) imply:
% 291.51/57.55 | (2799) all_1524_2 = all_1494_2
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2799) implies:
% 291.51/57.55 | (2800) all_1524_2 = all_1494_2
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2700), (2800) imply:
% 291.51/57.55 | (2801) all_1509_1 = all_1494_2
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2801) implies:
% 291.51/57.55 | (2802) all_1509_1 = all_1494_2
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2768), (2769) imply:
% 291.51/57.55 | (2803) all_1470_2 = all_1458_2
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2803) implies:
% 291.51/57.55 | (2804) all_1470_2 = all_1458_2
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2767), (2768) imply:
% 291.51/57.55 | (2805) all_1458_2 = all_1440_1
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2753), (2755) imply:
% 291.51/57.55 | (2806) all_1449_1 = all_1354_1
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2806) implies:
% 291.51/57.55 | (2807) all_1449_1 = all_1354_1
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2753), (2754) imply:
% 291.51/57.55 | (2808) all_1357_1 = all_1354_1
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2808) implies:
% 291.51/57.55 | (2809) all_1357_1 = all_1354_1
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2699), (2771) imply:
% 291.51/57.55 | (2810) all_1497_2 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2810) implies:
% 291.51/57.55 | (2811) all_1497_2 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2697), (2802) imply:
% 291.51/57.55 | (2812) all_1497_2 = all_1494_2
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2812) implies:
% 291.51/57.55 | (2813) all_1497_2 = all_1494_2
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2698), (2802) imply:
% 291.51/57.55 | (2814) all_1494_2 = all_1476_1
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2811), (2813) imply:
% 291.51/57.55 | (2815) all_1494_2 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2815) implies:
% 291.51/57.55 | (2816) all_1494_2 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2814), (2816) imply:
% 291.51/57.55 | (2817) all_1476_1 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2817) implies:
% 291.51/57.55 | (2818) all_1476_1 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2694), (2695) imply:
% 291.51/57.55 | (2819) all_1369_1 = all_1366_1
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2819) implies:
% 291.51/57.55 | (2820) all_1369_1 = all_1366_1
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2695), (2696) imply:
% 291.51/57.55 | (2821) all_1366_1 = all_1357_1
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2692), (2693) imply:
% 291.51/57.55 | (2822) all_1123_0 = all_1044_0
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2822) implies:
% 291.51/57.55 | (2823) all_1123_0 = all_1044_0
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2691), (2818) imply:
% 291.51/57.55 | (2824) all_1470_2 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2824) implies:
% 291.51/57.55 | (2825) all_1470_2 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2804), (2825) imply:
% 291.51/57.55 | (2826) all_1458_2 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2826) implies:
% 291.51/57.55 | (2827) all_1458_2 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2690), (2777) imply:
% 291.51/57.55 | (2828) all_1278_1 = all_1270_3
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2689), (2777) imply:
% 291.51/57.55 | (2829) all_1293_0 = all_1278_1
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2829) implies:
% 291.51/57.55 | (2830) all_1293_0 = all_1278_1
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2805), (2827) imply:
% 291.51/57.55 | (2831) all_1440_1 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2831) implies:
% 291.51/57.55 | (2832) all_1440_1 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2688), (2775) imply:
% 291.51/57.55 | (2833) all_1111_0 = all_916_0
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2687), (2775) imply:
% 291.51/57.55 | (2834) all_1111_0 = all_1038_0
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2685), (2686) imply:
% 291.51/57.55 | (2835) all_1351_1 = all_1348_1
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2685), (2807) imply:
% 291.51/57.55 | (2836) all_1354_1 = all_1351_1
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2836) implies:
% 291.51/57.55 | (2837) all_1354_1 = all_1351_1
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2684), (2832) imply:
% 291.51/57.55 | (2838) all_1434_1 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2838) implies:
% 291.51/57.55 | (2839) all_1434_1 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2683), (2839) imply:
% 291.51/57.55 | (2840) all_1431_1 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2840) implies:
% 291.51/57.55 | (2841) all_1431_1 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2682), (2841) imply:
% 291.51/57.55 | (2842) all_1428_1 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2842) implies:
% 291.51/57.55 | (2843) all_1428_1 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2681), (2843) imply:
% 291.51/57.55 | (2844) all_1425_2 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2844) implies:
% 291.51/57.55 | (2845) all_1425_2 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2680), (2845) imply:
% 291.51/57.55 | (2846) all_1422_2 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2846) implies:
% 291.51/57.55 | (2847) all_1422_2 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2679), (2847) imply:
% 291.51/57.55 | (2848) all_1419_1 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2848) implies:
% 291.51/57.55 | (2849) all_1419_1 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2763), (2849) imply:
% 291.51/57.55 | (2850) all_1401_1 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2850) implies:
% 291.51/57.55 | (2851) all_1401_1 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2743), (2744) imply:
% 291.51/57.55 | (2852) all_1390_0 = all_1141_1
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2852) implies:
% 291.51/57.55 | (2853) all_1390_0 = all_1141_1
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2744), (2745) imply:
% 291.51/57.55 | (2854) all_1141_1 = all_1093_1
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2764), (2851) imply:
% 291.51/57.55 | (2855) all_1398_2 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2855) implies:
% 291.51/57.55 | (2856) all_1398_2 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2678), (2856) imply:
% 291.51/57.55 | (2857) all_1396_5 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2857) implies:
% 291.51/57.55 | (2858) all_1396_5 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2677), (2858) imply:
% 291.51/57.55 | (2859) all_1393_1 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2859) implies:
% 291.51/57.55 | (2860) all_1393_1 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2676), (2860) imply:
% 291.51/57.55 | (2861) all_1384_1 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2861) implies:
% 291.51/57.55 | (2862) all_1384_1 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2798), (2853) imply:
% 291.51/57.55 | (2863) all_1141_1 = all_1023_1
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2863) implies:
% 291.51/57.55 | (2864) all_1141_1 = all_1023_1
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2675), (2862) imply:
% 291.51/57.55 | (2865) all_1369_1 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2865) implies:
% 291.51/57.55 | (2866) all_1369_1 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2820), (2866) imply:
% 291.51/57.55 | (2867) all_1366_1 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2867) implies:
% 291.51/57.55 | (2868) all_1366_1 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2821), (2868) imply:
% 291.51/57.55 | (2869) all_1357_1 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2869) implies:
% 291.51/57.55 | (2870) all_1357_1 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2809), (2870) imply:
% 291.51/57.55 | (2871) all_1354_1 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2871) implies:
% 291.51/57.55 | (2872) all_1354_1 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2837), (2872) imply:
% 291.51/57.55 | (2873) all_1351_1 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2873) implies:
% 291.51/57.55 | (2874) all_1351_1 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2835), (2874) imply:
% 291.51/57.55 | (2875) all_1348_1 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2875) implies:
% 291.51/57.55 | (2876) all_1348_1 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2674), (2876) imply:
% 291.51/57.55 | (2877) all_1328_5 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2877) implies:
% 291.51/57.55 | (2878) all_1328_5 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2673), (2878) imply:
% 291.51/57.55 | (2879) all_1325_1 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2879) implies:
% 291.51/57.55 | (2880) all_1325_1 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2672), (2880) imply:
% 291.51/57.55 | (2881) all_1311_5 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2881) implies:
% 291.51/57.55 | (2882) all_1311_5 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2671), (2882) imply:
% 291.51/57.55 | (2883) all_1299_1 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2883) implies:
% 291.51/57.55 | (2884) all_1299_1 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2670), (2884) imply:
% 291.51/57.55 | (2885) all_1296_1 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | SIMP: (2885) implies:
% 291.51/57.55 | (2886) all_1296_1 = all_1046_2
% 291.51/57.55 |
% 291.51/57.55 | COMBINE_EQS: (2669), (2886) imply:
% 291.71/57.55 | (2887) all_1293_0 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | SIMP: (2887) implies:
% 291.71/57.55 | (2888) all_1293_0 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2830), (2888) imply:
% 291.71/57.55 | (2889) all_1278_1 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | SIMP: (2889) implies:
% 291.71/57.55 | (2890) all_1278_1 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2828), (2890) imply:
% 291.71/57.55 | (2891) all_1270_3 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | SIMP: (2891) implies:
% 291.71/57.55 | (2892) all_1270_3 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2668), (2892) imply:
% 291.71/57.55 | (2893) all_1261_1 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | SIMP: (2893) implies:
% 291.71/57.55 | (2894) all_1261_1 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2761), (2894) imply:
% 291.71/57.55 | (2895) all_1244_4 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | SIMP: (2895) implies:
% 291.71/57.55 | (2896) all_1244_4 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2759), (2896) imply:
% 291.71/57.55 | (2897) all_1241_1 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | SIMP: (2897) implies:
% 291.71/57.55 | (2898) all_1241_1 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2667), (2898) imply:
% 291.71/57.55 | (2899) all_1239_4 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | SIMP: (2899) implies:
% 291.71/57.55 | (2900) all_1239_4 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2666), (2900) imply:
% 291.71/57.55 | (2901) all_1236_1 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | SIMP: (2901) implies:
% 291.71/57.55 | (2902) all_1236_1 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2665), (2902) imply:
% 291.71/57.55 | (2903) all_1233_2 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | SIMP: (2903) implies:
% 291.71/57.55 | (2904) all_1233_2 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2664), (2904) imply:
% 291.71/57.55 | (2905) all_1228_3 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | SIMP: (2905) implies:
% 291.71/57.55 | (2906) all_1228_3 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2663), (2906) imply:
% 291.71/57.55 | (2907) all_1207_1 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | SIMP: (2907) implies:
% 291.71/57.55 | (2908) all_1207_1 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2662), (2908) imply:
% 291.71/57.55 | (2909) all_1201_0 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | SIMP: (2909) implies:
% 291.71/57.55 | (2910) all_1201_0 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2661), (2910) imply:
% 291.71/57.55 | (2911) all_1192_2 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | SIMP: (2911) implies:
% 291.71/57.55 | (2912) all_1192_2 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2660), (2912) imply:
% 291.71/57.55 | (2913) all_1183_2 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | SIMP: (2913) implies:
% 291.71/57.55 | (2914) all_1183_2 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2659), (2914) imply:
% 291.71/57.55 | (2915) all_1180_1 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | SIMP: (2915) implies:
% 291.71/57.55 | (2916) all_1180_1 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2658), (2916) imply:
% 291.71/57.55 | (2917) all_1178_2 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | SIMP: (2917) implies:
% 291.71/57.55 | (2918) all_1178_2 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2657), (2918) imply:
% 291.71/57.55 | (2919) all_1175_0 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | SIMP: (2919) implies:
% 291.71/57.55 | (2920) all_1175_0 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2656), (2920) imply:
% 291.71/57.55 | (2921) all_1166_1 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | SIMP: (2921) implies:
% 291.71/57.55 | (2922) all_1166_1 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2655), (2922) imply:
% 291.71/57.55 | (2923) all_1163_1 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | SIMP: (2923) implies:
% 291.71/57.55 | (2924) all_1163_1 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2757), (2924) imply:
% 291.71/57.55 | (2925) all_1154_1 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | SIMP: (2925) implies:
% 291.71/57.55 | (2926) all_1154_1 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2758), (2926) imply:
% 291.71/57.55 | (2927) all_1132_1 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | SIMP: (2927) implies:
% 291.71/57.55 | (2928) all_1132_1 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2854), (2864) imply:
% 291.71/57.55 | (2929) all_1093_1 = all_1023_1
% 291.71/57.55 |
% 291.71/57.55 | SIMP: (2929) implies:
% 291.71/57.55 | (2930) all_1093_1 = all_1023_1
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2654), (2928) imply:
% 291.71/57.55 | (2931) all_1129_1 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | SIMP: (2931) implies:
% 291.71/57.55 | (2932) all_1129_1 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2781), (2932) imply:
% 291.71/57.55 | (2933) all_1072_1 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | SIMP: (2933) implies:
% 291.71/57.55 | (2934) all_1072_1 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2653), (2823) imply:
% 291.71/57.55 | (2935) all_1054_2 = all_1044_0
% 291.71/57.55 |
% 291.71/57.55 | SIMP: (2935) implies:
% 291.71/57.55 | (2936) all_1054_2 = all_1044_0
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2833), (2834) imply:
% 291.71/57.55 | (2937) all_1038_0 = all_916_0
% 291.71/57.55 |
% 291.71/57.55 | SIMP: (2937) implies:
% 291.71/57.55 | (2938) all_1038_0 = all_916_0
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2742), (2930) imply:
% 291.71/57.55 | (2939) all_1058_0 = all_1023_1
% 291.71/57.55 |
% 291.71/57.55 | SIMP: (2939) implies:
% 291.71/57.55 | (2940) all_1058_0 = all_1023_1
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2782), (2934) imply:
% 291.71/57.55 | (2941) all_1069_1 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | SIMP: (2941) implies:
% 291.71/57.55 | (2942) all_1069_1 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2652), (2942) imply:
% 291.71/57.55 | (2943) all_1058_3 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | SIMP: (2943) implies:
% 291.71/57.55 | (2944) all_1058_3 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2741), (2940) imply:
% 291.71/57.55 | (2945) all_1051_1 = all_1023_1
% 291.71/57.55 |
% 291.71/57.55 | SIMP: (2945) implies:
% 291.71/57.55 | (2946) all_1051_1 = all_1023_1
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2651), (2944) imply:
% 291.71/57.55 | (2947) all_1056_2 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | SIMP: (2947) implies:
% 291.71/57.55 | (2948) all_1056_2 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2650), (2948) imply:
% 291.71/57.55 | (2949) all_1054_2 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | SIMP: (2949) implies:
% 291.71/57.55 | (2950) all_1054_2 = all_1046_2
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2648), (2950) imply:
% 291.71/57.55 | (2951) all_1046_2 = all_957_1
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2649), (2950) imply:
% 291.71/57.55 | (2952) all_1046_2 = all_929_1
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2936), (2950) imply:
% 291.71/57.55 | (2953) all_1046_2 = all_1044_0
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2740), (2946) imply:
% 291.71/57.55 | (2954) all_1044_3 = all_1023_1
% 291.71/57.55 |
% 291.71/57.55 | SIMP: (2954) implies:
% 291.71/57.55 | (2955) all_1044_3 = all_1023_1
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2951), (2953) imply:
% 291.71/57.55 | (2956) all_1044_0 = all_957_1
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2952), (2953) imply:
% 291.71/57.55 | (2957) all_1044_0 = all_929_1
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2956), (2957) imply:
% 291.71/57.55 | (2958) all_957_1 = all_929_1
% 291.71/57.55 |
% 291.71/57.55 | SIMP: (2958) implies:
% 291.71/57.55 | (2959) all_957_1 = all_929_1
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2739), (2955) imply:
% 291.71/57.55 | (2960) all_1023_1 = all_845_1
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2738), (2955) imply:
% 291.71/57.55 | (2961) all_1023_1 = all_910_0
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2647), (2938) imply:
% 291.71/57.55 | (2962) all_957_1 = all_916_0
% 291.71/57.55 |
% 291.71/57.55 | SIMP: (2962) implies:
% 291.71/57.55 | (2963) all_957_1 = all_916_0
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2960), (2961) imply:
% 291.71/57.55 | (2964) all_910_0 = all_845_1
% 291.71/57.55 |
% 291.71/57.55 | SIMP: (2964) implies:
% 291.71/57.55 | (2965) all_910_0 = all_845_1
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2959), (2963) imply:
% 291.71/57.55 | (2966) all_929_1 = all_916_0
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2737), (2965) imply:
% 291.71/57.55 | (2967) all_845_1 = all_725_1
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2960), (2967) imply:
% 291.71/57.55 | (2968) all_1023_1 = all_725_1
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2955), (2968) imply:
% 291.71/57.55 | (2969) all_1044_3 = all_725_1
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2957), (2966) imply:
% 291.71/57.55 | (2970) all_1044_0 = all_916_0
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2953), (2970) imply:
% 291.71/57.55 | (2971) all_1046_2 = all_916_0
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2950), (2971) imply:
% 291.71/57.55 | (2972) all_1054_2 = all_916_0
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2948), (2971) imply:
% 291.71/57.55 | (2973) all_1056_2 = all_916_0
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2944), (2971) imply:
% 291.71/57.55 | (2974) all_1058_3 = all_916_0
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2942), (2971) imply:
% 291.71/57.55 | (2975) all_1069_1 = all_916_0
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2934), (2971) imply:
% 291.71/57.55 | (2976) all_1072_1 = all_916_0
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2932), (2971) imply:
% 291.71/57.55 | (2977) all_1129_1 = all_916_0
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2928), (2971) imply:
% 291.71/57.55 | (2978) all_1132_1 = all_916_0
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2926), (2971) imply:
% 291.71/57.55 | (2979) all_1154_1 = all_916_0
% 291.71/57.55 |
% 291.71/57.55 | COMBINE_EQS: (2924), (2971) imply:
% 291.71/57.56 | (2980) all_1163_1 = all_916_0
% 291.71/57.56 |
% 291.71/57.56 | COMBINE_EQS: (2922), (2971) imply:
% 291.71/57.56 | (2981) all_1166_1 = all_916_0
% 291.71/57.56 |
% 291.71/57.56 | COMBINE_EQS: (2918), (2971) imply:
% 291.71/57.56 | (2982) all_1178_2 = all_916_0
% 291.71/57.56 |
% 291.71/57.56 | COMBINE_EQS: (2916), (2971) imply:
% 291.71/57.56 | (2983) all_1180_1 = all_916_0
% 291.71/57.56 |
% 291.71/57.56 | COMBINE_EQS: (2914), (2971) imply:
% 291.71/57.56 | (2984) all_1183_2 = all_916_0
% 291.71/57.56 |
% 291.71/57.56 | COMBINE_EQS: (2912), (2971) imply:
% 291.71/57.56 | (2985) all_1192_2 = all_916_0
% 291.71/57.56 |
% 291.71/57.56 | COMBINE_EQS: (2908), (2971) imply:
% 291.71/57.56 | (2986) all_1207_1 = all_916_0
% 291.71/57.56 |
% 291.71/57.56 | COMBINE_EQS: (2906), (2971) imply:
% 291.71/57.56 | (2987) all_1228_3 = all_916_0
% 291.71/57.56 |
% 291.71/57.56 | COMBINE_EQS: (2904), (2971) imply:
% 291.71/57.56 | (2988) all_1233_2 = all_916_0
% 291.71/57.56 |
% 291.71/57.56 | COMBINE_EQS: (2902), (2971) imply:
% 291.71/57.56 | (2989) all_1236_1 = all_916_0
% 291.71/57.56 |
% 291.71/57.56 | COMBINE_EQS: (2900), (2971) imply:
% 291.71/57.56 | (2990) all_1239_4 = all_916_0
% 291.71/57.56 |
% 291.71/57.56 | COMBINE_EQS: (2898), (2971) imply:
% 291.71/57.56 | (2991) all_1241_1 = all_916_0
% 291.71/57.56 |
% 291.71/57.56 | COMBINE_EQS: (2896), (2971) imply:
% 291.71/57.56 | (2992) all_1244_4 = all_916_0
% 291.71/57.56 |
% 291.71/57.56 | COMBINE_EQS: (2894), (2971) imply:
% 291.71/57.56 | (2993) all_1261_1 = all_916_0
% 291.71/57.56 |
% 291.71/57.56 | COMBINE_EQS: (2892), (2971) imply:
% 291.71/57.56 | (2994) all_1270_3 = all_916_0
% 291.71/57.56 |
% 291.71/57.56 | COMBINE_EQS: (2890), (2971) imply:
% 291.71/57.56 | (2995) all_1278_1 = all_916_0
% 291.71/57.56 |
% 291.71/57.56 | COMBINE_EQS: (2886), (2971) imply:
% 291.71/57.56 | (2996) all_1296_1 = all_916_0
% 291.71/57.56 |
% 291.71/57.56 | COMBINE_EQS: (2884), (2971) imply:
% 291.71/57.56 | (2997) all_1299_1 = all_916_0
% 291.71/57.56 |
% 291.71/57.56 | COMBINE_EQS: (2882), (2971) imply:
% 291.71/57.56 | (2998) all_1311_5 = all_916_0
% 291.71/57.56 |
% 291.71/57.56 | COMBINE_EQS: (2880), (2971) imply:
% 291.71/57.56 | (2999) all_1325_1 = all_916_0
% 291.71/57.56 |
% 291.71/57.56 | COMBINE_EQS: (2878), (2971) imply:
% 291.71/57.56 | (3000) all_1328_5 = all_916_0
% 291.71/57.56 |
% 291.71/57.56 | COMBINE_EQS: (2876), (2971) imply:
% 291.71/57.56 | (3001) all_1348_1 = all_916_0
% 291.71/57.56 |
% 291.71/57.56 | COMBINE_EQS: (2874), (2971) imply:
% 291.71/57.56 | (3002) all_1351_1 = all_916_0
% 291.71/57.56 |
% 291.71/57.56 | COMBINE_EQS: (2872), (2971) imply:
% 291.71/57.56 | (3003) all_1354_1 = all_916_0
% 291.71/57.56 |
% 291.71/57.56 | COMBINE_EQS: (2870), (2971) imply:
% 291.71/57.56 | (3004) all_1357_1 = all_916_0
% 291.71/57.56 |
% 291.71/57.56 | COMBINE_EQS: (2868), (2971) imply:
% 291.71/57.56 | (3005) all_1366_1 = all_916_0
% 291.71/57.56 |
% 291.71/57.56 | COMBINE_EQS: (2866), (2971) imply:
% 291.71/57.56 | (3006) all_1369_1 = all_916_0
% 291.71/57.56 |
% 291.71/57.56 | COMBINE_EQS: (2862), (2971) imply:
% 291.71/57.56 | (3007) all_1384_1 = all_916_0
% 291.71/57.56 |
% 291.71/57.56 | COMBINE_EQS: (2860), (2971) imply:
% 291.71/57.56 | (3008) all_1393_1 = all_916_0
% 291.71/57.56 |
% 291.71/57.56 | COMBINE_EQS: (2858), (2971) imply:
% 291.71/57.56 | (3009) all_1396_5 = all_916_0
% 291.71/57.56 |
% 291.71/57.56 | COMBINE_EQS: (2856), (2971) imply:
% 291.71/57.56 | (3010) all_1398_2 = all_916_0
% 291.71/57.56 |
% 291.71/57.56 | COMBINE_EQS: (2851), (2971) imply:
% 291.71/57.56 | (3011) all_1401_1 = all_916_0
% 291.71/57.56 |
% 291.71/57.56 | COMBINE_EQS: (2849), (2971) imply:
% 291.71/57.56 | (3012) all_1419_1 = all_916_0
% 291.71/57.56 |
% 291.71/57.56 | COMBINE_EQS: (2847), (2971) imply:
% 291.71/57.56 | (3013) all_1422_2 = all_916_0
% 291.71/57.56 |
% 291.71/57.56 | COMBINE_EQS: (2845), (2971) imply:
% 291.71/57.56 | (3014) all_1425_2 = all_916_0
% 291.71/57.56 |
% 291.71/57.56 | COMBINE_EQS: (2843), (2971) imply:
% 291.71/57.56 | (3015) all_1428_1 = all_916_0
% 291.71/57.56 |
% 291.71/57.56 | COMBINE_EQS: (2841), (2971) imply:
% 291.71/57.56 | (3016) all_1431_1 = all_916_0
% 291.71/57.56 |
% 291.71/57.56 | COMBINE_EQS: (2839), (2971) imply:
% 291.71/57.57 | (3017) all_1434_1 = all_916_0
% 291.71/57.57 |
% 291.71/57.57 | COMBINE_EQS: (2832), (2971) imply:
% 291.71/57.57 | (3018) all_1440_1 = all_916_0
% 291.71/57.57 |
% 291.71/57.57 | COMBINE_EQS: (2685), (3002) imply:
% 291.71/57.57 | (3019) all_1449_1 = all_916_0
% 291.71/57.57 |
% 291.71/57.57 | COMBINE_EQS: (2827), (2971) imply:
% 291.71/57.57 | (3020) all_1458_2 = all_916_0
% 291.71/57.57 |
% 291.71/57.57 | COMBINE_EQS: (2777), (2995) imply:
% 291.71/57.57 | (3021) all_1467_2 = all_916_0
% 291.71/57.57 |
% 291.71/57.57 | COMBINE_EQS: (2825), (2971) imply:
% 291.71/57.57 | (3022) all_1470_2 = all_916_0
% 291.71/57.57 |
% 291.71/57.57 | COMBINE_EQS: (2818), (2971) imply:
% 291.71/57.57 | (3023) all_1476_1 = all_916_0
% 291.71/57.57 |
% 291.71/57.57 | COMBINE_EQS: (2693), (2970) imply:
% 291.71/57.57 | (3024) all_1479_1 = all_916_0
% 291.71/57.57 |
% 291.71/57.57 | COMBINE_EQS: (2695), (3005) imply:
% 291.71/57.57 | (3025) all_1488_2 = all_916_0
% 291.71/57.57 |
% 291.71/57.57 | COMBINE_EQS: (2816), (2971) imply:
% 291.71/57.57 | (3026) all_1494_2 = all_916_0
% 291.71/57.57 |
% 291.71/57.57 | COMBINE_EQS: (2811), (2971) imply:
% 291.71/57.57 | (3027) all_1497_2 = all_916_0
% 291.71/57.57 |
% 291.71/57.57 | COMBINE_EQS: (2802), (3026) imply:
% 291.71/57.57 | (3028) all_1509_1 = all_916_0
% 291.71/57.57 |
% 291.71/57.57 | COMBINE_EQS: (2771), (2971) imply:
% 291.71/57.57 | (3029) all_1515_1 = all_916_0
% 291.71/57.57 |
% 291.71/57.57 | COMBINE_EQS: (2753), (3003) imply:
% 291.71/57.57 | (3030) all_1518_2 = all_916_0
% 291.71/57.57 |
% 291.71/57.57 | COMBINE_EQS: (2768), (3020) imply:
% 291.71/57.57 | (3031) all_1521_1 = all_916_0
% 291.71/57.57 |
% 291.71/57.57 | COMBINE_EQS: (2800), (3026) imply:
% 291.71/57.57 | (3032) all_1524_2 = all_916_0
% 291.71/57.57 |
% 291.71/57.57 | COMBINE_EQS: (2794), (3026) imply:
% 291.71/57.57 | (3033) all_1542_1 = all_916_0
% 291.71/57.57 |
% 291.71/57.57 | COMBINE_EQS: (2792), (3026) imply:
% 291.71/57.57 | (3034) all_1554_2 = all_916_0
% 291.71/57.57 |
% 291.71/57.57 | COMBINE_EQS: (2788), (3026) imply:
% 291.71/57.57 | (3035) all_1557_5 = all_916_0
% 291.71/57.57 |
% 291.71/57.57 | COMBINE_EQS: (2786), (3026) imply:
% 291.71/57.57 | (3036) all_1563_2 = all_916_0
% 291.71/57.57 |
% 291.71/57.57 | COMBINE_EQS: (2779), (3026) imply:
% 291.71/57.57 | (3037) all_1566_2 = all_916_0
% 291.71/57.57 |
% 291.71/57.57 | COMBINE_EQS: (2707), (2976) imply:
% 291.71/57.57 | (3038) all_1575_1 = all_916_0
% 291.71/57.57 |
% 291.71/57.57 | COMBINE_EQS: (2766), (3026) imply:
% 291.71/57.57 | (3039) all_1578_3 = all_916_0
% 291.71/57.57 |
% 291.71/57.57 | COMBINE_EQS: (2711), (2995) imply:
% 291.71/57.57 | (3040) all_1581_10 = all_916_0
% 291.71/57.57 |
% 291.71/57.57 | COMBINE_EQS: (2773), (2833) imply:
% 291.71/57.57 | (3041) all_1583_1 = all_916_0
% 291.71/57.57 |
% 291.71/57.57 | COMBINE_EQS: (2712), (3041) imply:
% 291.71/57.57 | (3042) all_1586_4 = all_916_0
% 291.71/57.57 |
% 291.71/57.57 | COMBINE_EQS: (2716), (2971) imply:
% 291.71/57.57 | (3043) all_1589_2 = all_916_0
% 291.71/57.57 |
% 291.71/57.57 | COMBINE_EQS: (2717), (3031) imply:
% 291.71/57.57 | (3044) all_1592_1 = all_916_0
% 291.71/57.57 |
% 291.71/57.57 | COMBINE_EQS: (2752), (3026) imply:
% 291.71/57.57 | (3045) all_1595_2 = all_916_0
% 291.71/57.57 |
% 291.71/57.57 | COMBINE_EQS: (2723), (3011) imply:
% 291.71/57.57 | (3046) all_1601_7 = all_916_0
% 291.71/57.57 |
% 291.71/57.57 | COMBINE_EQS: (2726), (2992) imply:
% 291.71/57.57 | (3047) all_1604_4 = all_916_0
% 291.71/57.57 |
% 291.71/57.57 | COMBINE_EQS: (2729), (2979) imply:
% 291.71/57.57 | (3048) all_1619_1 = all_916_0
% 291.71/57.57 |
% 291.71/57.57 | COMBINE_EQS: (2731), (3030) imply:
% 291.71/57.57 | (3049) all_1628_1 = all_916_0
% 291.71/57.57 |
% 291.71/57.57 | COMBINE_EQS: (2736), (3026) imply:
% 291.71/57.57 | (3050) all_1631_21 = all_916_0
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (565), (2969) imply:
% 291.71/57.57 | (3051) c_Nat_OSuc(all_725_1) = all_1044_2
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (549), (2968) imply:
% 291.71/57.57 | (3052) c_Nat_OSuc(all_725_1) = all_1023_0
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (1224), (3050) imply:
% 291.71/57.57 | (3053) c_Int_OBit0(all_916_0) = all_1631_20
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (1185), (3046) imply:
% 291.71/57.57 | (3054) c_Int_OBit0(all_916_0) = all_1601_6
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (481), (2966) imply:
% 291.71/57.57 | (3055) c_Int_Onumber__class_Onumber__of(tc_Int_Oint, all_916_0) = all_929_0
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (1210), (3049) imply:
% 291.71/57.57 | (3056) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1628_0
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (1200), (3048) imply:
% 291.71/57.57 | (3057) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1619_0
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (1192), (3047) imply:
% 291.71/57.57 | (3058) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1604_3
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (1183), (3046) imply:
% 291.71/57.57 | (3059) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1601_2
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (1175), (3045) imply:
% 291.71/57.57 | (3060) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1595_1
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (1168), (3044) imply:
% 291.71/57.57 | (3061) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1592_0
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (1162), (3043) imply:
% 291.71/57.57 | (3062) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1589_1
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (1157), (3042) imply:
% 291.71/57.57 | (3063) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1586_0
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (1152), (3041) imply:
% 291.71/57.57 | (3064) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1583_0
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (1146), (3040) imply:
% 291.71/57.57 | (3065) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1581_4
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (1129), (3039) imply:
% 291.71/57.57 | (3066) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1578_0
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (1124), (3038) imply:
% 291.71/57.57 | (3067) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1575_0
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (1109), (3036) imply:
% 291.71/57.57 | (3068) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1563_1
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (1100), (3035) imply:
% 291.71/57.57 | (3069) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1557_0
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (1093), (3034) imply:
% 291.71/57.57 | (3070) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1554_1
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (1081), (3033) imply:
% 291.71/57.57 | (3071) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1542_0
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (1071), (3032) imply:
% 291.71/57.57 | (3072) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1524_1
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (1067), (3031) imply:
% 291.71/57.57 | (3073) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1521_0
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (1061), (3030) imply:
% 291.71/57.57 | (3074) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1518_1
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (1057), (3029) imply:
% 291.71/57.57 | (3075) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1515_0
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (1051), (3028) imply:
% 291.71/57.57 | (3076) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1509_0
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (1039), (3027) imply:
% 291.71/57.57 | (3077) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1497_1
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (1035), (3026) imply:
% 291.71/57.57 | (3078) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1494_1
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (1028), (3025) imply:
% 291.71/57.57 | (3079) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1488_1
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (1018), (3024) imply:
% 291.71/57.57 | (3080) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1479_0
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (1014), (3023) imply:
% 291.71/57.57 | (3081) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1476_0
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (1008), (3022) imply:
% 291.71/57.57 | (3082) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1470_1
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (1002), (3021) imply:
% 291.71/57.57 | (3083) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1467_1
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (993), (3020) imply:
% 291.71/57.57 | (3084) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1458_1
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (987), (2688) imply:
% 291.71/57.57 | (3085) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1455_1
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (980), (3019) imply:
% 291.71/57.57 | (3086) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1449_0
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (970), (3018) imply:
% 291.71/57.57 | (3087) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1440_0
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (965), (3017) imply:
% 291.71/57.57 | (3088) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1434_0
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (959), (3016) imply:
% 291.71/57.57 | (3089) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1431_0
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (954), (3015) imply:
% 291.71/57.57 | (3090) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1428_0
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (950), (3014) imply:
% 291.71/57.57 | (3091) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1425_1
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (946), (3013) imply:
% 291.71/57.57 | (3092) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1422_1
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (941), (3012) imply:
% 291.71/57.57 | (3093) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1419_0
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (927), (3011) imply:
% 291.71/57.57 | (3094) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1401_0
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (921), (3010) imply:
% 291.71/57.57 | (3095) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1398_1
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (915), (3009) imply:
% 291.71/57.57 | (3096) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1396_4
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (904), (3008) imply:
% 291.71/57.57 | (3097) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1393_0
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (895), (3007) imply:
% 291.71/57.57 | (3098) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1384_0
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (888), (3006) imply:
% 291.71/57.57 | (3099) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1369_0
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (883), (3005) imply:
% 291.71/57.57 | (3100) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1366_0
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (874), (3004) imply:
% 291.71/57.57 | (3101) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1357_0
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (868), (3003) imply:
% 291.71/57.57 | (3102) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1354_0
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (863), (3002) imply:
% 291.71/57.57 | (3103) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1351_0
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (859), (3001) imply:
% 291.71/57.57 | (3104) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1348_0
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (838), (2999) imply:
% 291.71/57.57 | (3105) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1325_0
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (811), (2997) imply:
% 291.71/57.57 | (3106) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1299_0
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (806), (2996) imply:
% 291.71/57.57 | (3107) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1296_0
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (795), (2995) imply:
% 291.71/57.57 | (3108) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1278_0
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (775), (2993) imply:
% 291.71/57.57 | (3109) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1261_0
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (710), (2986) imply:
% 291.71/57.57 | (3110) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1207_0
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (694), (2985) imply:
% 291.71/57.57 | (3111) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1192_1
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (679), (2982) imply:
% 291.71/57.57 | (3112) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1178_1
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (670), (2981) imply:
% 291.71/57.57 | (3113) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1166_0
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (666), (2980) imply:
% 291.71/57.57 | (3114) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1163_0
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (662), (2979) imply:
% 291.71/57.57 | (3115) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1154_0
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (646), (2978) imply:
% 291.71/57.57 | (3116) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1132_0
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (602), (2976) imply:
% 291.71/57.57 | (3117) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1072_0
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (598), (2975) imply:
% 291.71/57.57 | (3118) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1069_0
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (590), (2974) imply:
% 291.71/57.57 | (3119) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1058_2
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (561), (2970) imply:
% 291.71/57.57 | (3120) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_916_0) =
% 291.71/57.57 | all_1044_2
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (1191), (3047) imply:
% 291.71/57.57 | (3121) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_916_0) =
% 291.71/57.57 | all_1604_1
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (1181), (3046) imply:
% 291.71/57.57 | (3122) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_916_0) =
% 291.71/57.57 | all_1601_1
% 291.71/57.57 |
% 291.71/57.57 | REDUCE: (1156), (3042) imply:
% 291.71/57.57 | (3123) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_916_0) =
% 291.71/57.58 | all_1586_3
% 291.71/57.58 |
% 291.71/57.58 | REDUCE: (1145), (3040) imply:
% 291.71/57.58 | (3124) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_916_0) =
% 291.71/57.58 | all_1581_9
% 291.71/57.58 |
% 291.71/57.58 | REDUCE: (1128), (3039) imply:
% 291.71/57.58 | (3125) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_916_0) =
% 291.71/57.58 | all_1578_2
% 291.71/57.58 |
% 291.71/57.58 | REDUCE: (1114), (3037) imply:
% 291.71/57.58 | (3126) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_916_0) =
% 291.71/57.58 | all_1566_1
% 291.71/57.58 |
% 291.71/57.58 | REDUCE: (1099), (3035) imply:
% 291.71/57.58 | (3127) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_916_0) =
% 291.71/57.58 | all_1557_4
% 291.71/57.58 |
% 291.71/57.58 | REDUCE: (846), (3000) imply:
% 291.71/57.58 | (3128) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_916_0) =
% 291.71/57.58 | all_1328_4
% 291.71/57.58 |
% 291.71/57.58 | REDUCE: (827), (2998) imply:
% 291.71/57.58 | (3129) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_916_0) =
% 291.71/57.58 | all_1311_4
% 291.71/57.58 |
% 291.71/57.58 | REDUCE: (788), (2994) imply:
% 291.71/57.58 | (3130) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_916_0) =
% 291.71/57.58 | all_1270_2
% 291.71/57.58 |
% 291.71/57.58 | REDUCE: (761), (2992) imply:
% 291.71/57.58 | (3131) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_916_0) =
% 291.71/57.58 | all_1244_3
% 291.71/57.58 |
% 291.71/57.58 | REDUCE: (754), (2991) imply:
% 291.71/57.58 | (3132) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_916_0) =
% 291.71/57.58 | all_1241_0
% 291.71/57.58 |
% 291.71/57.58 | REDUCE: (749), (2990) imply:
% 291.71/57.58 | (3133) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_916_0) =
% 291.71/57.58 | all_1239_3
% 291.71/57.58 |
% 291.71/57.58 | REDUCE: (741), (2989) imply:
% 291.71/57.58 | (3134) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_916_0) =
% 291.71/57.58 | all_1236_0
% 291.71/57.58 |
% 291.71/57.58 | REDUCE: (736), (2988) imply:
% 291.71/57.58 | (3135) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_916_0) =
% 291.71/57.58 | all_1233_1
% 291.71/57.58 |
% 291.71/57.58 | REDUCE: (729), (2987) imply:
% 291.71/57.58 | (3136) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_916_0) =
% 291.71/57.58 | all_1228_2
% 291.71/57.58 |
% 291.71/57.58 | REDUCE: (687), (2984) imply:
% 291.71/57.58 | (3137) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_916_0) =
% 291.71/57.58 | all_1183_1
% 291.71/57.58 |
% 291.71/57.58 | REDUCE: (683), (2983) imply:
% 291.71/57.58 | (3138) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_916_0) =
% 291.71/57.58 | all_1180_0
% 291.71/57.58 |
% 291.71/57.58 | REDUCE: (642), (2977) imply:
% 291.71/57.58 | (3139) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_916_0) =
% 291.71/57.58 | all_1129_0
% 291.71/57.58 |
% 291.71/57.58 | REDUCE: (585), (2973) imply:
% 291.71/57.58 | (3140) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_916_0) =
% 291.71/57.58 | all_1056_1
% 291.71/57.58 |
% 291.71/57.58 | REDUCE: (581), (2972) imply:
% 291.71/57.58 | (3141) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_916_0) =
% 291.71/57.58 | all_1054_1
% 291.71/57.58 |
% 291.71/57.58 | REDUCE: (569), (2971) imply:
% 291.71/57.58 | (3142) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_916_0) =
% 291.71/57.58 | all_1046_1
% 291.71/57.58 |
% 291.71/57.58 | REDUCE: (505), (2963) imply:
% 291.71/57.58 | (3143) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_916_0) =
% 291.71/57.58 | all_957_0
% 291.71/57.58 |
% 291.71/57.58 | REDUCE: (480), (2966) imply:
% 291.71/57.58 | (3144) $i(all_916_0)
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1056_1, all_1129_0, all_916_0,
% 291.71/57.58 | tc_RealDef_Oreal, simplifying with (3139), (3140) gives:
% 291.71/57.58 | (3145) all_1129_0 = all_1056_1
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1056_1, all_1180_0, all_916_0,
% 291.71/57.58 | tc_RealDef_Oreal, simplifying with (3138), (3140) gives:
% 291.71/57.58 | (3146) all_1180_0 = all_1056_1
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1046_1, all_1180_0, all_916_0,
% 291.71/57.58 | tc_RealDef_Oreal, simplifying with (3138), (3142) gives:
% 291.71/57.58 | (3147) all_1180_0 = all_1046_1
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1129_0, all_1183_1, all_916_0,
% 291.71/57.58 | tc_RealDef_Oreal, simplifying with (3137), (3139) gives:
% 291.71/57.58 | (3148) all_1183_1 = all_1129_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1228_2, all_1233_1, all_916_0,
% 291.71/57.58 | tc_RealDef_Oreal, simplifying with (3135), (3136) gives:
% 291.71/57.58 | (3149) all_1233_1 = all_1228_2
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1183_1, all_1233_1, all_916_0,
% 291.71/57.58 | tc_RealDef_Oreal, simplifying with (3135), (3137) gives:
% 291.71/57.58 | (3150) all_1233_1 = all_1183_1
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1233_1, all_1236_0, all_916_0,
% 291.71/57.58 | tc_RealDef_Oreal, simplifying with (3134), (3135) gives:
% 291.71/57.58 | (3151) all_1236_0 = all_1233_1
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1236_0, all_1239_3, all_916_0,
% 291.71/57.58 | tc_RealDef_Oreal, simplifying with (3133), (3134) gives:
% 291.71/57.58 | (3152) all_1239_3 = all_1236_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1239_3, all_1241_0, all_916_0,
% 291.71/57.58 | tc_RealDef_Oreal, simplifying with (3132), (3133) gives:
% 291.71/57.58 | (3153) all_1241_0 = all_1239_3
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1241_0, all_1244_3, all_916_0,
% 291.71/57.58 | tc_RealDef_Oreal, simplifying with (3131), (3132) gives:
% 291.71/57.58 | (3154) all_1244_3 = all_1241_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1244_3, all_1270_2, all_916_0,
% 291.71/57.58 | tc_RealDef_Oreal, simplifying with (3130), (3131) gives:
% 291.71/57.58 | (3155) all_1270_2 = all_1244_3
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1270_2, all_1311_4, all_916_0,
% 291.71/57.58 | tc_RealDef_Oreal, simplifying with (3129), (3130) gives:
% 291.71/57.58 | (3156) all_1311_4 = all_1270_2
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1180_0, all_1557_4, all_916_0,
% 291.71/57.58 | tc_RealDef_Oreal, simplifying with (3127), (3138) gives:
% 291.71/57.58 | (3157) all_1557_4 = all_1180_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1054_1, all_1557_4, all_916_0,
% 291.71/57.58 | tc_RealDef_Oreal, simplifying with (3127), (3141) gives:
% 291.71/57.58 | (3158) all_1557_4 = all_1054_1
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1311_4, all_1566_1, all_916_0,
% 291.71/57.58 | tc_RealDef_Oreal, simplifying with (3126), (3129) gives:
% 291.71/57.58 | (3159) all_1566_1 = all_1311_4
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1566_1, all_1578_2, all_916_0,
% 291.71/57.58 | tc_RealDef_Oreal, simplifying with (3125), (3126) gives:
% 291.71/57.58 | (3160) all_1578_2 = all_1566_1
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1578_2, all_1581_9, all_916_0,
% 291.71/57.58 | tc_RealDef_Oreal, simplifying with (3124), (3125) gives:
% 291.71/57.58 | (3161) all_1581_9 = all_1578_2
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1581_9, all_1586_3, all_916_0,
% 291.71/57.58 | tc_RealDef_Oreal, simplifying with (3123), (3124) gives:
% 291.71/57.58 | (3162) all_1586_3 = all_1581_9
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1586_3, all_1601_1, all_916_0,
% 291.71/57.58 | tc_RealDef_Oreal, simplifying with (3122), (3123) gives:
% 291.71/57.58 | (3163) all_1601_1 = all_1586_3
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_957_0, all_1601_1, all_916_0,
% 291.71/57.58 | tc_RealDef_Oreal, simplifying with (3122), (3143) gives:
% 291.71/57.58 | (3164) all_1601_1 = all_957_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1566_1, all_1604_1, all_916_0,
% 291.71/57.58 | tc_RealDef_Oreal, simplifying with (3121), (3126) gives:
% 291.71/57.58 | (3165) all_1604_1 = all_1566_1
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1328_4, all_1604_1, all_916_0,
% 291.71/57.58 | tc_RealDef_Oreal, simplifying with (3121), (3128) gives:
% 291.71/57.58 | (3166) all_1604_1 = all_1328_4
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_916_2, all_1069_0, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (469), (3118) gives:
% 291.71/57.58 | (3167) all_1069_0 = all_916_2
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1069_0, all_1072_0, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3117), (3118) gives:
% 291.71/57.58 | (3168) all_1072_0 = all_1069_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1072_0, all_1132_0, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3116), (3117) gives:
% 291.71/57.58 | (3169) all_1132_0 = all_1072_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1132_0, all_1154_0, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3115), (3116) gives:
% 291.71/57.58 | (3170) all_1154_0 = all_1132_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1044_2, all_1166_0, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3113), (3120) gives:
% 291.71/57.58 | (3171) all_1166_0 = all_1044_2
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1166_0, all_1178_1, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3112), (3113) gives:
% 291.71/57.58 | (3172) all_1178_1 = all_1166_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1069_0, all_1178_1, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3112), (3118) gives:
% 291.71/57.58 | (3173) all_1178_1 = all_1069_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1178_1, all_1261_0, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3109), (3112) gives:
% 291.71/57.58 | (3174) all_1261_0 = all_1178_1
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1261_0, all_1278_0, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3108), (3109) gives:
% 291.71/57.58 | (3175) all_1278_0 = all_1261_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1207_0, all_1299_0, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3106), (3110) gives:
% 291.71/57.58 | (3176) all_1299_0 = all_1207_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1299_0, all_1325_0, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3105), (3106) gives:
% 291.71/57.58 | (3177) all_1325_0 = all_1299_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1325_0, all_1351_0, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3103), (3105) gives:
% 291.71/57.58 | (3178) all_1351_0 = all_1325_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1351_0, all_1354_0, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3102), (3103) gives:
% 291.71/57.58 | (3179) all_1354_0 = all_1351_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1354_0, all_1357_0, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3101), (3102) gives:
% 291.71/57.58 | (3180) all_1357_0 = all_1354_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1278_0, all_1384_0, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3098), (3108) gives:
% 291.71/57.58 | (3181) all_1384_0 = all_1278_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1384_0, all_1401_0, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3094), (3098) gives:
% 291.71/57.58 | (3182) all_1401_0 = all_1384_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1369_0, all_1428_0, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3090), (3099) gives:
% 291.71/57.58 | (3183) all_1428_0 = all_1369_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1351_0, all_1428_0, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3090), (3103) gives:
% 291.71/57.58 | (3184) all_1428_0 = all_1351_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1207_0, all_1434_0, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3088), (3110) gives:
% 291.71/57.58 | (3185) all_1434_0 = all_1207_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1154_0, all_1434_0, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3088), (3115) gives:
% 291.71/57.58 | (3186) all_1434_0 = all_1154_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1440_0, all_1449_0, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3086), (3087) gives:
% 291.71/57.58 | (3187) all_1449_0 = all_1440_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1449_0, all_1455_1, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3085), (3086) gives:
% 291.71/57.58 | (3188) all_1455_1 = all_1449_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1455_1, all_1458_1, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3084), (3085) gives:
% 291.71/57.58 | (3189) all_1458_1 = all_1455_1
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1458_1, all_1467_1, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3083), (3084) gives:
% 291.71/57.58 | (3190) all_1467_1 = all_1458_1
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1467_1, all_1470_1, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3082), (3083) gives:
% 291.71/57.58 | (3191) all_1470_1 = all_1467_1
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1425_1, all_1476_0, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3081), (3091) gives:
% 291.71/57.58 | (3192) all_1476_0 = all_1425_1
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1398_1, all_1476_0, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3081), (3095) gives:
% 291.71/57.58 | (3193) all_1476_0 = all_1398_1
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1440_0, all_1479_0, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3080), (3087) gives:
% 291.71/57.58 | (3194) all_1479_0 = all_1440_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1425_1, all_1479_0, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3080), (3091) gives:
% 291.71/57.58 | (3195) all_1479_0 = all_1425_1
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1470_1, all_1488_1, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3079), (3082) gives:
% 291.71/57.58 | (3196) all_1488_1 = all_1470_1
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1488_1, all_1494_1, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3078), (3079) gives:
% 291.71/57.58 | (3197) all_1494_1 = all_1488_1
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1401_0, all_1497_1, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3077), (3094) gives:
% 291.71/57.58 | (3198) all_1497_1 = all_1401_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1476_0, all_1509_0, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3076), (3081) gives:
% 291.71/57.58 | (3199) all_1509_0 = all_1476_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1479_0, all_1515_0, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3075), (3080) gives:
% 291.71/57.58 | (3200) all_1515_0 = all_1479_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1398_1, all_1518_1, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3074), (3095) gives:
% 291.71/57.58 | (3201) all_1518_1 = all_1398_1
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1396_4, all_1518_1, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3074), (3096) gives:
% 291.71/57.58 | (3202) all_1518_1 = all_1396_4
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1393_0, all_1518_1, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3074), (3097) gives:
% 291.71/57.58 | (3203) all_1518_1 = all_1393_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1494_1, all_1521_0, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3073), (3078) gives:
% 291.71/57.58 | (3204) all_1521_0 = all_1494_1
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1434_0, all_1524_1, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3072), (3088) gives:
% 291.71/57.58 | (3205) all_1524_1 = all_1434_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1192_1, all_1524_1, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3072), (3111) gives:
% 291.71/57.58 | (3206) all_1524_1 = all_1192_1
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1521_0, all_1542_0, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3071), (3073) gives:
% 291.71/57.58 | (3207) all_1542_0 = all_1521_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1497_1, all_1557_0, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3069), (3077) gives:
% 291.71/57.58 | (3208) all_1557_0 = all_1497_1
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1542_0, all_1563_1, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3068), (3071) gives:
% 291.71/57.58 | (3209) all_1563_1 = all_1542_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1563_1, all_1575_0, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3067), (3068) gives:
% 291.71/57.58 | (3210) all_1575_0 = all_1563_1
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1575_0, all_1578_0, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3066), (3067) gives:
% 291.71/57.58 | (3211) all_1578_0 = all_1575_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1299_0, all_1581_4, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3065), (3106) gives:
% 291.71/57.58 | (3212) all_1581_4 = all_1299_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1058_2, all_1581_4, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3065), (3119) gives:
% 291.71/57.58 | (3213) all_1581_4 = all_1058_2
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1419_0, all_1583_0, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3064), (3093) gives:
% 291.71/57.58 | (3214) all_1583_0 = all_1419_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1393_0, all_1583_0, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3064), (3097) gives:
% 291.71/57.58 | (3215) all_1583_0 = all_1393_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1366_0, all_1583_0, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3064), (3100) gives:
% 291.71/57.58 | (3216) all_1583_0 = all_1366_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1357_0, all_1583_0, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3064), (3101) gives:
% 291.71/57.58 | (3217) all_1583_0 = all_1357_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1578_0, all_1589_1, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3062), (3066) gives:
% 291.71/57.58 | (3218) all_1589_1 = all_1578_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1296_0, all_1589_1, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3062), (3107) gives:
% 291.71/57.58 | (3219) all_1589_1 = all_1296_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1428_0, all_1592_0, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3061), (3090) gives:
% 291.71/57.58 | (3220) all_1592_0 = all_1428_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1348_0, all_1592_0, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3061), (3104) gives:
% 291.71/57.58 | (3221) all_1592_0 = all_1348_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1557_0, all_1595_1, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3060), (3069) gives:
% 291.71/57.58 | (3222) all_1595_1 = all_1557_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1163_0, all_1595_1, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3060), (3114) gives:
% 291.71/57.58 | (3223) all_1595_1 = all_1163_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1554_1, all_1601_2, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3059), (3070) gives:
% 291.71/57.58 | (3224) all_1601_2 = all_1554_1
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1515_0, all_1601_2, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3059), (3075) gives:
% 291.71/57.58 | (3225) all_1601_2 = all_1515_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1431_0, all_1601_2, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3059), (3089) gives:
% 291.71/57.58 | (3226) all_1601_2 = all_1431_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1509_0, all_1604_3, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3058), (3076) gives:
% 291.71/57.58 | (3227) all_1604_3 = all_1509_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1422_1, all_1604_3, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3058), (3092) gives:
% 291.71/57.58 | (3228) all_1604_3 = all_1422_1
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1619_0, all_1628_0, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3056), (3057) gives:
% 291.71/57.58 | (3229) all_1628_0 = all_1619_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1604_3, all_1628_0, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3056), (3058) gives:
% 291.71/57.58 | (3230) all_1628_0 = all_1604_3
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (311) with all_1586_0, all_1628_0, all_916_0,
% 291.71/57.58 | tc_Nat_Onat, simplifying with (3056), (3063) gives:
% 291.71/57.58 | (3231) all_1628_0 = all_1586_0
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (303) with all_1601_6, all_1631_20, all_916_0,
% 291.71/57.58 | simplifying with (3053), (3054) gives:
% 291.71/57.58 | (3232) all_1631_20 = all_1601_6
% 291.71/57.58 |
% 291.71/57.58 | GROUND_INST: instantiating (307) with all_1023_0, all_1044_2, all_725_1,
% 291.71/57.58 | simplifying with (3051), (3052) gives:
% 291.71/57.58 | (3233) all_1044_2 = all_1023_0
% 291.71/57.58 |
% 291.71/57.58 | COMBINE_EQS: (3229), (3230) imply:
% 291.71/57.58 | (3234) all_1619_0 = all_1604_3
% 291.71/57.58 |
% 291.71/57.58 | COMBINE_EQS: (3229), (3231) imply:
% 291.71/57.58 | (3235) all_1619_0 = all_1586_0
% 291.71/57.58 |
% 291.71/57.58 | COMBINE_EQS: (3234), (3235) imply:
% 291.71/57.58 | (3236) all_1604_3 = all_1586_0
% 291.71/57.58 |
% 291.71/57.58 | SIMP: (3236) implies:
% 291.71/57.58 | (3237) all_1604_3 = all_1586_0
% 291.71/57.58 |
% 291.71/57.58 | COMBINE_EQS: (3165), (3166) imply:
% 291.71/57.58 | (3238) all_1566_1 = all_1328_4
% 291.71/57.58 |
% 291.71/57.58 | SIMP: (3238) implies:
% 291.71/57.58 | (3239) all_1566_1 = all_1328_4
% 291.71/57.58 |
% 291.71/57.58 | COMBINE_EQS: (3227), (3237) imply:
% 291.71/57.58 | (3240) all_1586_0 = all_1509_0
% 291.71/57.58 |
% 291.71/57.58 | COMBINE_EQS: (3228), (3237) imply:
% 291.71/57.58 | (3241) all_1586_0 = all_1422_1
% 291.71/57.58 |
% 291.71/57.58 | COMBINE_EQS: (3163), (3164) imply:
% 291.71/57.58 | (3242) all_1586_3 = all_957_0
% 291.71/57.58 |
% 291.71/57.58 | SIMP: (3242) implies:
% 291.71/57.58 | (3243) all_1586_3 = all_957_0
% 291.71/57.58 |
% 291.71/57.58 | COMBINE_EQS: (3224), (3226) imply:
% 291.71/57.58 | (3244) all_1554_1 = all_1431_0
% 291.71/57.58 |
% 291.71/57.58 | COMBINE_EQS: (3224), (3225) imply:
% 291.71/57.58 | (3245) all_1554_1 = all_1515_0
% 291.71/57.58 |
% 291.71/57.58 | COMBINE_EQS: (3222), (3223) imply:
% 291.71/57.58 | (3246) all_1557_0 = all_1163_0
% 291.71/57.58 |
% 291.71/57.58 | SIMP: (3246) implies:
% 291.71/57.58 | (3247) all_1557_0 = all_1163_0
% 291.71/57.58 |
% 291.71/57.58 | COMBINE_EQS: (3220), (3221) imply:
% 291.71/57.58 | (3248) all_1428_0 = all_1348_0
% 291.71/57.58 |
% 291.71/57.58 | SIMP: (3248) implies:
% 291.71/57.58 | (3249) all_1428_0 = all_1348_0
% 291.71/57.58 |
% 291.71/57.58 | COMBINE_EQS: (3218), (3219) imply:
% 291.71/57.58 | (3250) all_1578_0 = all_1296_0
% 291.71/57.58 |
% 291.71/57.58 | SIMP: (3250) implies:
% 291.71/57.58 | (3251) all_1578_0 = all_1296_0
% 291.71/57.58 |
% 291.71/57.58 | COMBINE_EQS: (3240), (3241) imply:
% 291.71/57.58 | (3252) all_1509_0 = all_1422_1
% 291.71/57.58 |
% 291.71/57.58 | SIMP: (3252) implies:
% 291.71/57.58 | (3253) all_1509_0 = all_1422_1
% 291.71/57.58 |
% 291.71/57.58 | COMBINE_EQS: (3162), (3243) imply:
% 291.71/57.58 | (3254) all_1581_9 = all_957_0
% 291.71/57.58 |
% 291.71/57.58 | SIMP: (3254) implies:
% 291.71/57.58 | (3255) all_1581_9 = all_957_0
% 291.71/57.58 |
% 291.71/57.58 | COMBINE_EQS: (3214), (3217) imply:
% 291.71/57.58 | (3256) all_1419_0 = all_1357_0
% 291.71/57.58 |
% 291.71/57.58 | COMBINE_EQS: (3214), (3215) imply:
% 291.71/57.58 | (3257) all_1419_0 = all_1393_0
% 291.71/57.58 |
% 291.71/57.58 | COMBINE_EQS: (3214), (3216) imply:
% 291.71/57.59 | (3258) all_1419_0 = all_1366_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3212), (3213) imply:
% 291.71/57.59 | (3259) all_1299_0 = all_1058_2
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3259) implies:
% 291.71/57.59 | (3260) all_1299_0 = all_1058_2
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3161), (3255) imply:
% 291.71/57.59 | (3261) all_1578_2 = all_957_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3261) implies:
% 291.71/57.59 | (3262) all_1578_2 = all_957_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3211), (3251) imply:
% 291.71/57.59 | (3263) all_1575_0 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3263) implies:
% 291.71/57.59 | (3264) all_1575_0 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3160), (3262) imply:
% 291.71/57.59 | (3265) all_1566_1 = all_957_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3265) implies:
% 291.71/57.59 | (3266) all_1566_1 = all_957_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3210), (3264) imply:
% 291.71/57.59 | (3267) all_1563_1 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3267) implies:
% 291.71/57.59 | (3268) all_1563_1 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3159), (3239) imply:
% 291.71/57.59 | (3269) all_1328_4 = all_1311_4
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3239), (3266) imply:
% 291.71/57.59 | (3270) all_1328_4 = all_957_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3209), (3268) imply:
% 291.71/57.59 | (3271) all_1542_0 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3271) implies:
% 291.71/57.59 | (3272) all_1542_0 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3208), (3247) imply:
% 291.71/57.59 | (3273) all_1497_1 = all_1163_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3273) implies:
% 291.71/57.59 | (3274) all_1497_1 = all_1163_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3157), (3158) imply:
% 291.71/57.59 | (3275) all_1180_0 = all_1054_1
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3275) implies:
% 291.71/57.59 | (3276) all_1180_0 = all_1054_1
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3244), (3245) imply:
% 291.71/57.59 | (3277) all_1515_0 = all_1431_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3277) implies:
% 291.71/57.59 | (3278) all_1515_0 = all_1431_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3207), (3272) imply:
% 291.71/57.59 | (3279) all_1521_0 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3279) implies:
% 291.71/57.59 | (3280) all_1521_0 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3205), (3206) imply:
% 291.71/57.59 | (3281) all_1434_0 = all_1192_1
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3281) implies:
% 291.71/57.59 | (3282) all_1434_0 = all_1192_1
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3204), (3280) imply:
% 291.71/57.59 | (3283) all_1494_1 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3283) implies:
% 291.71/57.59 | (3284) all_1494_1 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3202), (3203) imply:
% 291.71/57.59 | (3285) all_1396_4 = all_1393_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3201), (3202) imply:
% 291.71/57.59 | (3286) all_1398_1 = all_1396_4
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3286) implies:
% 291.71/57.59 | (3287) all_1398_1 = all_1396_4
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3200), (3278) imply:
% 291.71/57.59 | (3288) all_1479_0 = all_1431_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3288) implies:
% 291.71/57.59 | (3289) all_1479_0 = all_1431_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3199), (3253) imply:
% 291.71/57.59 | (3290) all_1476_0 = all_1422_1
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3290) implies:
% 291.71/57.59 | (3291) all_1476_0 = all_1422_1
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3198), (3274) imply:
% 291.71/57.59 | (3292) all_1401_0 = all_1163_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3292) implies:
% 291.71/57.59 | (3293) all_1401_0 = all_1163_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3197), (3284) imply:
% 291.71/57.59 | (3294) all_1488_1 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3294) implies:
% 291.71/57.59 | (3295) all_1488_1 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3196), (3295) imply:
% 291.71/57.59 | (3296) all_1470_1 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3296) implies:
% 291.71/57.59 | (3297) all_1470_1 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3194), (3289) imply:
% 291.71/57.59 | (3298) all_1440_0 = all_1431_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3298) implies:
% 291.71/57.59 | (3299) all_1440_0 = all_1431_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3195), (3289) imply:
% 291.71/57.59 | (3300) all_1431_0 = all_1425_1
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3193), (3291) imply:
% 291.71/57.59 | (3301) all_1422_1 = all_1398_1
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3192), (3291) imply:
% 291.71/57.59 | (3302) all_1425_1 = all_1422_1
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3302) implies:
% 291.71/57.59 | (3303) all_1425_1 = all_1422_1
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3191), (3297) imply:
% 291.71/57.59 | (3304) all_1467_1 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3304) implies:
% 291.71/57.59 | (3305) all_1467_1 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3190), (3305) imply:
% 291.71/57.59 | (3306) all_1458_1 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3306) implies:
% 291.71/57.59 | (3307) all_1458_1 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3189), (3307) imply:
% 291.71/57.59 | (3308) all_1455_1 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3308) implies:
% 291.71/57.59 | (3309) all_1455_1 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3188), (3309) imply:
% 291.71/57.59 | (3310) all_1449_0 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3310) implies:
% 291.71/57.59 | (3311) all_1449_0 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3187), (3311) imply:
% 291.71/57.59 | (3312) all_1440_0 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3312) implies:
% 291.71/57.59 | (3313) all_1440_0 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3299), (3313) imply:
% 291.71/57.59 | (3314) all_1431_0 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3314) implies:
% 291.71/57.59 | (3315) all_1431_0 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3186), (3282) imply:
% 291.71/57.59 | (3316) all_1192_1 = all_1154_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3185), (3282) imply:
% 291.71/57.59 | (3317) all_1207_0 = all_1192_1
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3317) implies:
% 291.71/57.59 | (3318) all_1207_0 = all_1192_1
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3300), (3315) imply:
% 291.71/57.59 | (3319) all_1425_1 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3319) implies:
% 291.71/57.59 | (3320) all_1425_1 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3183), (3184) imply:
% 291.71/57.59 | (3321) all_1369_0 = all_1351_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3183), (3249) imply:
% 291.71/57.59 | (3322) all_1369_0 = all_1348_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3303), (3320) imply:
% 291.71/57.59 | (3323) all_1422_1 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3323) implies:
% 291.71/57.59 | (3324) all_1422_1 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3301), (3324) imply:
% 291.71/57.59 | (3325) all_1398_1 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3325) implies:
% 291.71/57.59 | (3326) all_1398_1 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3257), (3258) imply:
% 291.71/57.59 | (3327) all_1393_0 = all_1366_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3327) implies:
% 291.71/57.59 | (3328) all_1393_0 = all_1366_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3256), (3258) imply:
% 291.71/57.59 | (3329) all_1366_0 = all_1357_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3182), (3293) imply:
% 291.71/57.59 | (3330) all_1384_0 = all_1163_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3330) implies:
% 291.71/57.59 | (3331) all_1384_0 = all_1163_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3287), (3326) imply:
% 291.71/57.59 | (3332) all_1396_4 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3332) implies:
% 291.71/57.59 | (3333) all_1396_4 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3285), (3333) imply:
% 291.71/57.59 | (3334) all_1393_0 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3334) implies:
% 291.71/57.59 | (3335) all_1393_0 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3328), (3335) imply:
% 291.71/57.59 | (3336) all_1366_0 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3336) implies:
% 291.71/57.59 | (3337) all_1366_0 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3181), (3331) imply:
% 291.71/57.59 | (3338) all_1278_0 = all_1163_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3338) implies:
% 291.71/57.59 | (3339) all_1278_0 = all_1163_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3321), (3322) imply:
% 291.71/57.59 | (3340) all_1351_0 = all_1348_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3340) implies:
% 291.71/57.59 | (3341) all_1351_0 = all_1348_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3329), (3337) imply:
% 291.71/57.59 | (3342) all_1357_0 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3342) implies:
% 291.71/57.59 | (3343) all_1357_0 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3180), (3343) imply:
% 291.71/57.59 | (3344) all_1354_0 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3344) implies:
% 291.71/57.59 | (3345) all_1354_0 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3179), (3345) imply:
% 291.71/57.59 | (3346) all_1351_0 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3346) implies:
% 291.71/57.59 | (3347) all_1351_0 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3178), (3341) imply:
% 291.71/57.59 | (3348) all_1348_0 = all_1325_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3341), (3347) imply:
% 291.71/57.59 | (3349) all_1348_0 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3348), (3349) imply:
% 291.71/57.59 | (3350) all_1325_0 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3350) implies:
% 291.71/57.59 | (3351) all_1325_0 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3269), (3270) imply:
% 291.71/57.59 | (3352) all_1311_4 = all_957_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3352) implies:
% 291.71/57.59 | (3353) all_1311_4 = all_957_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3177), (3351) imply:
% 291.71/57.59 | (3354) all_1299_0 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3354) implies:
% 291.71/57.59 | (3355) all_1299_0 = all_1296_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3156), (3353) imply:
% 291.71/57.59 | (3356) all_1270_2 = all_957_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3356) implies:
% 291.71/57.59 | (3357) all_1270_2 = all_957_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3176), (3355) imply:
% 291.71/57.59 | (3358) all_1296_0 = all_1207_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3260), (3355) imply:
% 291.71/57.59 | (3359) all_1296_0 = all_1058_2
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3358), (3359) imply:
% 291.71/57.59 | (3360) all_1207_0 = all_1058_2
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3360) implies:
% 291.71/57.59 | (3361) all_1207_0 = all_1058_2
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3175), (3339) imply:
% 291.71/57.59 | (3362) all_1261_0 = all_1163_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3362) implies:
% 291.71/57.59 | (3363) all_1261_0 = all_1163_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3155), (3357) imply:
% 291.71/57.59 | (3364) all_1244_3 = all_957_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3364) implies:
% 291.71/57.59 | (3365) all_1244_3 = all_957_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3174), (3363) imply:
% 291.71/57.59 | (3366) all_1178_1 = all_1163_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3366) implies:
% 291.71/57.59 | (3367) all_1178_1 = all_1163_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3154), (3365) imply:
% 291.71/57.59 | (3368) all_1241_0 = all_957_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3368) implies:
% 291.71/57.59 | (3369) all_1241_0 = all_957_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3153), (3369) imply:
% 291.71/57.59 | (3370) all_1239_3 = all_957_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3370) implies:
% 291.71/57.59 | (3371) all_1239_3 = all_957_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3152), (3371) imply:
% 291.71/57.59 | (3372) all_1236_0 = all_957_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3372) implies:
% 291.71/57.59 | (3373) all_1236_0 = all_957_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3151), (3373) imply:
% 291.71/57.59 | (3374) all_1233_1 = all_957_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3374) implies:
% 291.71/57.59 | (3375) all_1233_1 = all_957_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3149), (3375) imply:
% 291.71/57.59 | (3376) all_1228_2 = all_957_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3149), (3150) imply:
% 291.71/57.59 | (3377) all_1228_2 = all_1183_1
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3376), (3377) imply:
% 291.71/57.59 | (3378) all_1183_1 = all_957_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3378) implies:
% 291.71/57.59 | (3379) all_1183_1 = all_957_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3318), (3361) imply:
% 291.71/57.59 | (3380) all_1192_1 = all_1058_2
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3380) implies:
% 291.71/57.59 | (3381) all_1192_1 = all_1058_2
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3316), (3381) imply:
% 291.71/57.59 | (3382) all_1154_0 = all_1058_2
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3382) implies:
% 291.71/57.59 | (3383) all_1154_0 = all_1058_2
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3148), (3379) imply:
% 291.71/57.59 | (3384) all_1129_0 = all_957_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3384) implies:
% 291.71/57.59 | (3385) all_1129_0 = all_957_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3147), (3276) imply:
% 291.71/57.59 | (3386) all_1054_1 = all_1046_1
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3146), (3276) imply:
% 291.71/57.59 | (3387) all_1056_1 = all_1054_1
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3387) implies:
% 291.71/57.59 | (3388) all_1056_1 = all_1054_1
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3173), (3367) imply:
% 291.71/57.59 | (3389) all_1163_0 = all_1069_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3172), (3367) imply:
% 291.71/57.59 | (3390) all_1166_0 = all_1163_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3390) implies:
% 291.71/57.59 | (3391) all_1166_0 = all_1163_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3171), (3391) imply:
% 291.71/57.59 | (3392) all_1163_0 = all_1044_2
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3392) implies:
% 291.71/57.59 | (3393) all_1163_0 = all_1044_2
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3389), (3393) imply:
% 291.71/57.59 | (3394) all_1069_0 = all_1044_2
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3394) implies:
% 291.71/57.59 | (3395) all_1069_0 = all_1044_2
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3170), (3383) imply:
% 291.71/57.59 | (3396) all_1132_0 = all_1058_2
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3396) implies:
% 291.71/57.59 | (3397) all_1132_0 = all_1058_2
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3169), (3397) imply:
% 291.71/57.59 | (3398) all_1072_0 = all_1058_2
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3398) implies:
% 291.71/57.59 | (3399) all_1072_0 = all_1058_2
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3145), (3385) imply:
% 291.71/57.59 | (3400) all_1056_1 = all_957_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3400) implies:
% 291.71/57.59 | (3401) all_1056_1 = all_957_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3168), (3399) imply:
% 291.71/57.59 | (3402) all_1069_0 = all_1058_2
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3402) implies:
% 291.71/57.59 | (3403) all_1069_0 = all_1058_2
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3167), (3403) imply:
% 291.71/57.59 | (3404) all_1058_2 = all_916_2
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3395), (3403) imply:
% 291.71/57.59 | (3405) all_1058_2 = all_1044_2
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3404), (3405) imply:
% 291.71/57.59 | (3406) all_1044_2 = all_916_2
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3406) implies:
% 291.71/57.59 | (3407) all_1044_2 = all_916_2
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3388), (3401) imply:
% 291.71/57.59 | (3408) all_1054_1 = all_957_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3408) implies:
% 291.71/57.59 | (3409) all_1054_1 = all_957_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3386), (3409) imply:
% 291.71/57.59 | (3410) all_1046_1 = all_957_0
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3410) implies:
% 291.71/57.59 | (3411) all_1046_1 = all_957_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3233), (3407) imply:
% 291.71/57.59 | (3412) all_1023_0 = all_916_2
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3412) implies:
% 291.71/57.59 | (3413) all_1023_0 = all_916_2
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3359), (3404) imply:
% 291.71/57.59 | (3414) all_1296_0 = all_916_2
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3333), (3414) imply:
% 291.71/57.59 | (3415) all_1396_4 = all_916_2
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3158), (3409) imply:
% 291.71/57.59 | (3416) all_1557_4 = all_957_0
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3213), (3404) imply:
% 291.71/57.59 | (3417) all_1581_4 = all_916_2
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3166), (3270) imply:
% 291.71/57.59 | (3418) all_1604_1 = all_957_0
% 291.71/57.59 |
% 291.71/57.59 | REDUCE: (1222), (3232) imply:
% 291.71/57.59 | (3419) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_1601_6) =
% 291.71/57.59 | all_1631_19
% 291.71/57.59 |
% 291.71/57.59 | REDUCE: (1142), (3417) imply:
% 291.71/57.59 | (3420) hAPP(all_1581_1, all_916_2) = all_1581_0
% 291.71/57.59 |
% 291.71/57.59 | REDUCE: (1141), (3417) imply:
% 291.71/57.59 | (3421) hAPP(all_1581_5, all_916_2) = all_1581_3
% 291.71/57.59 |
% 291.71/57.59 | REDUCE: (913), (3415) imply:
% 291.71/57.59 | (3422) hAPP(all_1396_2, all_916_2) = all_1396_1
% 291.71/57.59 |
% 291.71/57.59 | REDUCE: (912), (3415) imply:
% 291.71/57.59 | (3423) hAPP(all_1396_7, all_916_2) = all_1396_3
% 291.71/57.59 |
% 291.71/57.59 | REDUCE: (2641), (3375) imply:
% 291.71/57.59 | (3424) hAPP(all_1143_0, all_957_0) = all_1233_0
% 291.71/57.59 |
% 291.71/57.59 | REDUCE: (2626), (3418) imply:
% 291.71/57.59 | (3425) hAPP(all_901_0, all_957_0) = all_1604_0
% 291.71/57.59 |
% 291.71/57.59 | REDUCE: (2627), (3164) imply:
% 291.71/57.59 | (3426) hAPP(all_901_0, all_957_0) = all_1601_0
% 291.71/57.59 |
% 291.71/57.59 | REDUCE: (2629), (3255) imply:
% 291.71/57.59 | (3427) hAPP(all_901_0, all_957_0) = all_1581_8
% 291.71/57.59 |
% 291.71/57.59 | REDUCE: (2632), (3266) imply:
% 291.71/57.59 | (3428) hAPP(all_901_0, all_957_0) = all_1566_0
% 291.71/57.59 |
% 291.71/57.59 | REDUCE: (2633), (3416) imply:
% 291.71/57.59 | (3429) hAPP(all_901_0, all_957_0) = all_1557_3
% 291.71/57.59 |
% 291.71/57.59 | REDUCE: (2636), (3270) imply:
% 291.71/57.59 | (3430) hAPP(all_901_0, all_957_0) = all_1328_3
% 291.71/57.59 |
% 291.71/57.59 | REDUCE: (2637), (3353) imply:
% 291.71/57.59 | (3431) hAPP(all_901_0, all_957_0) = all_1311_3
% 291.71/57.59 |
% 291.71/57.59 | REDUCE: (2638), (3357) imply:
% 291.71/57.59 | (3432) hAPP(all_901_0, all_957_0) = all_1270_1
% 291.71/57.59 |
% 291.71/57.59 | REDUCE: (2639), (3365) imply:
% 291.71/57.59 | (3433) hAPP(all_901_0, all_957_0) = all_1244_2
% 291.71/57.59 |
% 291.71/57.59 | REDUCE: (2640), (3371) imply:
% 291.71/57.59 | (3434) hAPP(all_901_0, all_957_0) = all_1239_2
% 291.71/57.59 |
% 291.71/57.59 | REDUCE: (2642), (3376) imply:
% 291.71/57.59 | (3435) hAPP(all_901_0, all_957_0) = all_1228_1
% 291.71/57.59 |
% 291.71/57.59 | REDUCE: (568), (3411) imply:
% 291.71/57.59 | (3436) $i(all_957_0)
% 291.71/57.59 |
% 291.71/57.59 | REDUCE: (547), (3413) imply:
% 291.71/57.59 | (3437) $i(all_916_2)
% 291.71/57.59 |
% 291.71/57.59 | GROUND_INST: instantiating (309) with all_1244_2, all_1328_3, all_957_0,
% 291.71/57.59 | all_901_0, simplifying with (3430), (3433) gives:
% 291.71/57.59 | (3438) all_1328_3 = all_1244_2
% 291.71/57.59 |
% 291.71/57.59 | GROUND_INST: instantiating (309) with all_1557_3, all_1566_0, all_957_0,
% 291.71/57.59 | all_901_0, simplifying with (3428), (3429) gives:
% 291.71/57.59 | (3439) all_1566_0 = all_1557_3
% 291.71/57.59 |
% 291.71/57.59 | GROUND_INST: instantiating (309) with all_1566_0, all_1581_8, all_957_0,
% 291.71/57.59 | all_901_0, simplifying with (3427), (3428) gives:
% 291.71/57.59 | (3440) all_1581_8 = all_1566_0
% 291.71/57.59 |
% 291.71/57.59 | GROUND_INST: instantiating (309) with all_1270_1, all_1581_8, all_957_0,
% 291.71/57.59 | all_901_0, simplifying with (3427), (3432) gives:
% 291.71/57.59 | (3441) all_1581_8 = all_1270_1
% 291.71/57.59 |
% 291.71/57.59 | GROUND_INST: instantiating (309) with all_1557_3, all_1601_0, all_957_0,
% 291.71/57.59 | all_901_0, simplifying with (3426), (3429) gives:
% 291.71/57.59 | (3442) all_1601_0 = all_1557_3
% 291.71/57.59 |
% 291.71/57.59 | GROUND_INST: instantiating (309) with all_1328_3, all_1601_0, all_957_0,
% 291.71/57.59 | all_901_0, simplifying with (3426), (3430) gives:
% 291.71/57.59 | (3443) all_1601_0 = all_1328_3
% 291.71/57.59 |
% 291.71/57.59 | GROUND_INST: instantiating (309) with all_1311_3, all_1601_0, all_957_0,
% 291.71/57.59 | all_901_0, simplifying with (3426), (3431) gives:
% 291.71/57.59 | (3444) all_1601_0 = all_1311_3
% 291.71/57.59 |
% 291.71/57.59 | GROUND_INST: instantiating (309) with all_1239_2, all_1601_0, all_957_0,
% 291.71/57.59 | all_901_0, simplifying with (3426), (3434) gives:
% 291.71/57.59 | (3445) all_1601_0 = all_1239_2
% 291.71/57.59 |
% 291.71/57.59 | GROUND_INST: instantiating (309) with all_1601_0, all_1604_0, all_957_0,
% 291.71/57.59 | all_901_0, simplifying with (3425), (3426) gives:
% 291.71/57.59 | (3446) all_1604_0 = all_1601_0
% 291.71/57.59 |
% 291.71/57.59 | GROUND_INST: instantiating (309) with all_1228_1, all_1604_0, all_957_0,
% 291.71/57.59 | all_901_0, simplifying with (3425), (3435) gives:
% 291.71/57.59 | (3447) all_1604_0 = all_1228_1
% 291.71/57.59 |
% 291.71/57.59 | GROUND_INST: instantiating (311) with all_1601_5, all_1631_19, all_1601_6,
% 291.71/57.59 | tc_RealDef_Oreal, simplifying with (1182), (3419) gives:
% 291.71/57.59 | (3448) all_1631_19 = all_1601_5
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3446), (3447) imply:
% 291.71/57.59 | (3449) all_1601_0 = all_1228_1
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3449) implies:
% 291.71/57.59 | (3450) all_1601_0 = all_1228_1
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3443), (3444) imply:
% 291.71/57.59 | (3451) all_1328_3 = all_1311_3
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3451) implies:
% 291.71/57.59 | (3452) all_1328_3 = all_1311_3
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3442), (3444) imply:
% 291.71/57.59 | (3453) all_1557_3 = all_1311_3
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3453) implies:
% 291.71/57.59 | (3454) all_1557_3 = all_1311_3
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3444), (3450) imply:
% 291.71/57.59 | (3455) all_1311_3 = all_1228_1
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3444), (3445) imply:
% 291.71/57.59 | (3456) all_1311_3 = all_1239_2
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3440), (3441) imply:
% 291.71/57.59 | (3457) all_1566_0 = all_1270_1
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3457) implies:
% 291.71/57.59 | (3458) all_1566_0 = all_1270_1
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3439), (3458) imply:
% 291.71/57.59 | (3459) all_1557_3 = all_1270_1
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3459) implies:
% 291.71/57.59 | (3460) all_1557_3 = all_1270_1
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3454), (3460) imply:
% 291.71/57.59 | (3461) all_1311_3 = all_1270_1
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3461) implies:
% 291.71/57.59 | (3462) all_1311_3 = all_1270_1
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3438), (3452) imply:
% 291.71/57.59 | (3463) all_1311_3 = all_1244_2
% 291.71/57.59 |
% 291.71/57.59 | SIMP: (3463) implies:
% 291.71/57.59 | (3464) all_1311_3 = all_1244_2
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3456), (3462) imply:
% 291.71/57.59 | (3465) all_1270_1 = all_1239_2
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3455), (3462) imply:
% 291.71/57.59 | (3466) all_1270_1 = all_1228_1
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3462), (3464) imply:
% 291.71/57.59 | (3467) all_1270_1 = all_1244_2
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3465), (3467) imply:
% 291.71/57.59 | (3468) all_1244_2 = all_1239_2
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3466), (3467) imply:
% 291.71/57.59 | (3469) all_1244_2 = all_1228_1
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3468), (3469) imply:
% 291.71/57.59 | (3470) all_1239_2 = all_1228_1
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3438), (3469) imply:
% 291.71/57.59 | (3471) all_1328_3 = all_1228_1
% 291.71/57.59 |
% 291.71/57.59 | COMBINE_EQS: (3441), (3466) imply:
% 291.71/57.59 | (3472) all_1581_8 = all_1228_1
% 291.71/57.59 |
% 291.71/57.59 | REDUCE: (1227), (3448) imply:
% 291.71/57.59 | (3473) c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal,
% 291.71/57.59 | c_Transcendental_Opi, all_1601_5) = all_1631_18
% 291.71/57.59 |
% 291.71/57.59 | REDUCE: (1140), (3472) imply:
% 291.71/57.59 | (3474) hAPP(all_1228_1, v_x____) = all_1581_7
% 291.71/57.59 |
% 291.71/57.60 | REDUCE: (843), (3471) imply:
% 291.71/57.60 | (3475) hAPP(all_1228_1, v_y____) = all_1328_2
% 291.71/57.60 |
% 291.71/57.60 | REDUCE: (824), (3455) imply:
% 291.71/57.60 | (3476) hAPP(all_1228_1, v_x____) = all_1311_2
% 291.71/57.60 |
% 291.71/57.60 | REDUCE: (786), (3466) imply:
% 291.71/57.60 | (3477) hAPP(all_1228_1, v_y____) = all_1270_0
% 291.71/57.60 |
% 291.71/57.60 | REDUCE: (759), (3469) imply:
% 291.71/57.60 | (3478) hAPP(all_1228_1, v_y____) = all_1244_1
% 291.71/57.60 |
% 291.71/57.60 | REDUCE: (747), (3470) imply:
% 291.71/57.60 | (3479) hAPP(all_1228_1, v_x____) = all_1239_1
% 291.71/57.60 |
% 291.71/57.60 | REDUCE: (2625), (3448) imply:
% 291.71/57.60 | (3480) hAPP(all_901_0, all_1601_5) = all_1631_16
% 291.71/57.60 |
% 291.71/57.60 | REDUCE: (1215), (3448) imply:
% 291.71/57.60 | (3481) $i(all_1601_5)
% 291.71/57.60 |
% 291.71/57.60 | GROUND_INST: instantiating (309) with all_1601_4, all_1631_16, all_1601_5,
% 291.71/57.60 | all_901_0, simplifying with (2628), (3480) gives:
% 291.71/57.60 | (3482) all_1631_16 = all_1601_4
% 291.71/57.60 |
% 291.71/57.60 | GROUND_INST: instantiating (309) with all_1228_0, all_1581_7, v_x____,
% 291.71/57.60 | all_1228_1, simplifying with (727), (3474) gives:
% 291.71/57.60 | (3483) all_1581_7 = all_1228_0
% 291.71/57.60 |
% 291.71/57.60 | GROUND_INST: instantiating (309) with all_1311_2, all_1581_7, v_x____,
% 291.71/57.60 | all_1228_1, simplifying with (3474), (3476) gives:
% 291.71/57.60 | (3484) all_1581_7 = all_1311_2
% 291.71/57.60 |
% 291.71/57.60 | GROUND_INST: instantiating (309) with all_1239_1, all_1581_7, v_x____,
% 291.71/57.60 | all_1228_1, simplifying with (3474), (3479) gives:
% 291.71/57.60 | (3485) all_1581_7 = all_1239_1
% 291.71/57.60 |
% 291.71/57.60 | GROUND_INST: instantiating (309) with all_1270_0, all_1328_2, v_y____,
% 291.71/57.60 | all_1228_1, simplifying with (3475), (3477) gives:
% 291.71/57.60 | (3486) all_1328_2 = all_1270_0
% 291.71/57.60 |
% 291.71/57.60 | GROUND_INST: instantiating (309) with all_1244_1, all_1328_2, v_y____,
% 291.71/57.60 | all_1228_1, simplifying with (3475), (3478) gives:
% 291.71/57.60 | (3487) all_1328_2 = all_1244_1
% 291.71/57.60 |
% 291.71/57.60 | COMBINE_EQS: (3483), (3484) imply:
% 291.71/57.60 | (3488) all_1311_2 = all_1228_0
% 291.71/57.60 |
% 291.71/57.60 | COMBINE_EQS: (3484), (3485) imply:
% 291.71/57.60 | (3489) all_1311_2 = all_1239_1
% 291.71/57.60 |
% 291.71/57.60 | COMBINE_EQS: (3486), (3487) imply:
% 291.71/57.60 | (3490) all_1270_0 = all_1244_1
% 291.71/57.60 |
% 291.71/57.60 | SIMP: (3490) implies:
% 291.71/57.60 | (3491) all_1270_0 = all_1244_1
% 291.71/57.60 |
% 291.71/57.60 | COMBINE_EQS: (3488), (3489) imply:
% 291.71/57.60 | (3492) all_1239_1 = all_1228_0
% 291.71/57.60 |
% 291.71/57.60 | REDUCE: (1144), (3483) imply:
% 291.71/57.60 | (3493) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1228_0) = all_1581_6
% 291.71/57.60 |
% 291.71/57.60 | REDUCE: (845), (3487) imply:
% 291.71/57.60 | (3494) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1244_1) = all_1328_1
% 291.71/57.60 |
% 291.71/57.60 | REDUCE: (826), (3488) imply:
% 291.71/57.60 | (3495) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1228_0) = all_1311_1
% 291.71/57.60 |
% 291.71/57.60 | REDUCE: (1220), (3482) imply:
% 291.71/57.60 | (3496) hAPP(all_1601_4, all_1631_11) = all_1631_10
% 291.71/57.60 |
% 291.71/57.60 | REDUCE: (784), (3491) imply:
% 291.71/57.60 | (3497) $i(all_1244_1)
% 291.71/57.60 |
% 291.71/57.60 | REDUCE: (745), (3492) imply:
% 291.71/57.60 | (3498) $i(all_1228_0)
% 291.71/57.60 |
% 291.71/57.60 | GROUND_INST: instantiating (310) with all_1311_1, all_1581_6, all_1228_0,
% 291.71/57.60 | tc_RealDef_Oreal, simplifying with (3493), (3495) gives:
% 291.71/57.60 | (3499) all_1581_6 = all_1311_1
% 291.71/57.60 |
% 291.71/57.60 | REDUCE: (2631), (3499) imply:
% 291.71/57.60 | (3500) hAPP(all_1143_0, all_1311_1) = all_1581_5
% 291.71/57.60 |
% 291.71/57.60 | REDUCE: (1136), (3499) imply:
% 291.71/57.60 | (3501) $i(all_1311_1)
% 291.71/57.60 |
% 291.71/57.60 | GROUND_INST: instantiating (216) with c_Int_OPls, c_Int_OMin, tc_Int_Oint,
% 291.71/57.60 | simplifying with (38), (39), (259), (278), (279), (2644) gives:
% 291.71/57.60 | (3502) c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, c_Int_OPls)
% 291.71/57.60 |
% 291.71/57.60 | GROUND_INST: instantiating (fact_zero__less__one) with tc_RealDef_Oreal,
% 291.71/57.60 | all_635_0, simplifying with (288), (299), (319) gives:
% 291.71/57.60 | (3503) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.60 | $i(v0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.60 | all_635_0))
% 291.71/57.60 |
% 291.71/57.60 | GROUND_INST: instantiating (fact_zero__le__one) with tc_RealDef_Oreal,
% 291.71/57.60 | all_635_0, simplifying with (288), (299), (319) gives:
% 291.71/57.60 | (3504) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.60 | $i(v0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.60 | all_635_0))
% 291.71/57.60 |
% 291.71/57.60 | GROUND_INST: instantiating (fact_not__one__less__zero) with tc_RealDef_Oreal,
% 291.71/57.60 | all_635_0, simplifying with (288), (299), (319) gives:
% 291.71/57.60 | (3505) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.60 | $i(v0) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.60 | all_635_0, v0))
% 291.71/57.60 |
% 291.71/57.60 | GROUND_INST: instantiating (fact_not__one__le__zero) with tc_RealDef_Oreal,
% 291.71/57.60 | all_635_0, simplifying with (288), (299), (319) gives:
% 291.71/57.60 | (3506) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.60 | $i(v0) & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.60 | all_635_0, v0))
% 291.71/57.60 |
% 291.71/57.60 | GROUND_INST: instantiating (fact_abs__ge__zero) with all_1228_0,
% 291.71/57.60 | tc_RealDef_Oreal, all_1311_1, simplifying with (282), (299),
% 291.71/57.60 | (3495), (3498) gives:
% 291.71/57.60 | (3507) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.60 | $i(v0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.60 | all_1311_1))
% 291.71/57.60 |
% 291.71/57.60 | GROUND_INST: instantiating (fact_abs__not__less__zero) with all_1228_0,
% 291.71/57.60 | tc_RealDef_Oreal, all_1311_1, simplifying with (282), (299),
% 291.71/57.60 | (3495), (3498) gives:
% 291.71/57.60 | (3508) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.60 | $i(v0) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.60 | all_1311_1, v0))
% 291.71/57.60 |
% 291.71/57.60 | GROUND_INST: instantiating (fact_abs__eq__0) with all_1228_0,
% 291.71/57.60 | tc_RealDef_Oreal, all_1311_1, simplifying with (282), (299),
% 291.71/57.60 | (3495), (3498) gives:
% 291.71/57.60 | (3509) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.60 | $i(v0) & ( ~ (v0 = all_1311_1) | all_1311_1 = all_1228_0) & ( ~
% 291.71/57.60 | (v0 = all_1228_0) | all_1311_1 = all_1228_0))
% 291.71/57.60 |
% 291.71/57.60 | GROUND_INST: instantiating (fact_zero__less__abs__iff) with all_1228_0,
% 291.71/57.60 | tc_RealDef_Oreal, all_1311_1, simplifying with (282), (299),
% 291.71/57.60 | (3495), (3498) gives:
% 291.71/57.60 | (3510) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.60 | $i(v0) & ( ~ (v0 = all_1228_0) | ~
% 291.71/57.60 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1228_0,
% 291.71/57.60 | all_1311_1)) & (v0 = all_1228_0 |
% 291.71/57.60 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.60 | all_1311_1)))
% 291.71/57.60 |
% 291.71/57.60 | GROUND_INST: instantiating (fact_abs__le__zero__iff) with all_1228_0,
% 291.71/57.60 | tc_RealDef_Oreal, all_1311_1, simplifying with (282), (299),
% 291.71/57.60 | (3495), (3498) gives:
% 291.71/57.60 | (3511) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.60 | $i(v0) & ( ~ (v0 = all_1228_0) |
% 291.71/57.60 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1311_1,
% 291.71/57.60 | all_1228_0)) & (v0 = all_1228_0 | ~
% 291.71/57.60 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1311_1,
% 291.71/57.60 | v0)))
% 291.71/57.60 |
% 291.71/57.60 | GROUND_INST: instantiating (fact_abs__ge__zero) with all_1244_1,
% 291.71/57.60 | tc_RealDef_Oreal, all_1328_1, simplifying with (282), (299),
% 291.71/57.60 | (3494), (3497) gives:
% 291.71/57.60 | (3512) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.60 | $i(v0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.60 | all_1328_1))
% 291.71/57.60 |
% 291.71/57.60 | GROUND_INST: instantiating (fact_abs__not__less__zero) with all_1244_1,
% 291.71/57.60 | tc_RealDef_Oreal, all_1328_1, simplifying with (282), (299),
% 291.71/57.60 | (3494), (3497) gives:
% 291.71/57.60 | (3513) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.60 | $i(v0) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.60 | all_1328_1, v0))
% 291.71/57.60 |
% 291.71/57.60 | GROUND_INST: instantiating (fact_abs__eq__0) with all_1244_1,
% 291.71/57.60 | tc_RealDef_Oreal, all_1328_1, simplifying with (282), (299),
% 291.71/57.60 | (3494), (3497) gives:
% 291.71/57.60 | (3514) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.60 | $i(v0) & ( ~ (v0 = all_1328_1) | all_1328_1 = all_1244_1) & ( ~
% 291.71/57.60 | (v0 = all_1244_1) | all_1328_1 = all_1244_1))
% 291.71/57.60 |
% 291.71/57.60 | GROUND_INST: instantiating (fact_zero__less__abs__iff) with all_1244_1,
% 291.71/57.60 | tc_RealDef_Oreal, all_1328_1, simplifying with (282), (299),
% 291.71/57.60 | (3494), (3497) gives:
% 291.71/57.60 | (3515) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.60 | $i(v0) & ( ~ (v0 = all_1244_1) | ~
% 291.71/57.60 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1244_1,
% 291.71/57.60 | all_1328_1)) & (v0 = all_1244_1 |
% 291.71/57.60 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.60 | all_1328_1)))
% 291.71/57.60 |
% 291.71/57.60 | GROUND_INST: instantiating (fact_abs__le__zero__iff) with all_1244_1,
% 291.71/57.60 | tc_RealDef_Oreal, all_1328_1, simplifying with (282), (299),
% 291.71/57.60 | (3494), (3497) gives:
% 291.71/57.60 | (3516) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.60 | $i(v0) & ( ~ (v0 = all_1244_1) |
% 291.71/57.60 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1328_1,
% 291.71/57.60 | all_1244_1)) & (v0 = all_1244_1 | ~
% 291.71/57.60 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1328_1,
% 291.71/57.60 | v0)))
% 291.71/57.60 |
% 291.71/57.60 | GROUND_INST: instantiating (214) with c_Int_OMin, tc_RealDef_Oreal,
% 291.71/57.60 | all_1228_6, simplifying with (259), (291), (295), (299), (728)
% 291.71/57.60 | gives:
% 291.71/57.60 | (3517) ? [v0: $i] : (( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 291.71/57.60 | c_Int_OMin, c_Int_OPls) |
% 291.71/57.60 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) &
% 291.71/57.60 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1228_6,
% 291.71/57.60 | v0))) & (c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 291.71/57.60 | c_Int_OMin, c_Int_OPls) |
% 291.71/57.60 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) &
% 291.71/57.60 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1228_6,
% 291.71/57.60 | v0))))
% 291.71/57.60 |
% 291.71/57.60 | GROUND_INST: instantiating (130) with c_Int_OMin, tc_RealDef_Oreal,
% 291.71/57.60 | all_1228_6, simplifying with (259), (291), (295), (299), (728)
% 291.71/57.60 | gives:
% 291.71/57.60 | (3518) ? [v0: $i] : (( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 291.71/57.60 | c_Int_OMin, c_Int_OPls) |
% 291.71/57.60 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) &
% 291.71/57.60 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.60 | all_1228_6, v0))) &
% 291.71/57.60 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin,
% 291.71/57.60 | c_Int_OPls) | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 291.71/57.60 | v0 & $i(v0) & ~
% 291.71/57.60 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.60 | all_1228_6, v0))))
% 291.71/57.60 |
% 291.71/57.60 | GROUND_INST: instantiating (131) with c_Int_OMin, tc_RealDef_Oreal,
% 291.71/57.60 | all_1228_6, simplifying with (259), (291), (295), (299), (728)
% 291.71/57.60 | gives:
% 291.71/57.60 | (3519) ? [v0: $i] : (( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 291.71/57.60 | c_Int_OPls, c_Int_OMin) |
% 291.71/57.60 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) &
% 291.71/57.60 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.60 | all_1228_6))) &
% 291.71/57.60 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls,
% 291.71/57.60 | c_Int_OMin) | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 291.71/57.60 | v0 & $i(v0) & ~
% 291.71/57.60 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.60 | all_1228_6))))
% 291.71/57.60 |
% 291.71/57.60 | GROUND_INST: instantiating (131) with all_916_0, tc_RealDef_Oreal, all_957_0,
% 291.71/57.60 | simplifying with (291), (295), (299), (3143), (3144) gives:
% 291.71/57.60 | (3520) ? [v0: $i] : (( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 291.71/57.60 | c_Int_OPls, all_916_0) |
% 291.71/57.60 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) &
% 291.71/57.60 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.60 | all_957_0))) &
% 291.71/57.60 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls,
% 291.71/57.60 | all_916_0) | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 291.71/57.60 | v0 & $i(v0) & ~
% 291.71/57.60 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.60 | all_957_0))))
% 291.71/57.60 |
% 291.71/57.60 | GROUND_INST: instantiating (36) with c_Int_OPls, c_Int_OMin, all_767_0,
% 291.71/57.60 | c_Int_OPls, simplifying with (39), (259), (400), (2624), (2644)
% 291.71/57.60 | gives:
% 291.71/57.60 | (3521) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_767_0,
% 291.71/57.60 | c_Int_OPls)
% 291.71/57.60 |
% 291.71/57.60 | GROUND_INST: instantiating (35) with c_Int_OMin, all_767_0, simplifying with
% 291.71/57.60 | (259), (400) gives:
% 291.71/57.60 | (3522) all_767_0 = c_Int_OMin
% 291.71/57.60 |
% 291.71/57.60 | GROUND_INST: instantiating (35) with all_916_0, all_929_0, simplifying with
% 291.71/57.60 | (3055), (3144) gives:
% 291.71/57.60 | (3523) all_929_0 = all_916_0
% 291.71/57.60 |
% 291.71/57.60 | GROUND_INST: instantiating (fact_mult__pos__neg2) with all_1601_5,
% 291.71/57.60 | all_1631_11, tc_RealDef_Oreal, all_901_0, all_1601_4,
% 291.71/57.60 | all_1631_10, simplifying with (281), (299), (457), (1217),
% 291.71/57.60 | (2628), (3481), (3496) gives:
% 291.71/57.60 | (3524) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.60 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.60 | all_1631_11) | ~
% 291.71/57.60 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1601_5, v0)
% 291.71/57.60 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1631_10,
% 291.71/57.60 | v0)))
% 291.71/57.60 |
% 291.71/57.60 | GROUND_INST: instantiating (fact_zero__less__mult__pos) with all_1631_11,
% 291.71/57.60 | all_1601_5, tc_RealDef_Oreal, all_901_0, all_1601_4, all_1631_10,
% 291.71/57.60 | simplifying with (281), (299), (457), (1217), (2628), (3481),
% 291.71/57.60 | (3496) gives:
% 291.71/57.60 | (3525) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.60 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.60 | all_1631_10) | ~
% 291.71/57.60 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_1601_5)
% 291.71/57.60 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.60 | all_1631_11)))
% 291.71/57.60 |
% 291.71/57.60 | GROUND_INST: instantiating (fact_zero__less__mult__pos2) with all_1631_11,
% 291.71/57.60 | all_1601_5, tc_RealDef_Oreal, all_901_0, all_1601_4, all_1631_10,
% 291.71/57.60 | simplifying with (281), (299), (457), (1217), (2628), (3481),
% 291.71/57.60 | (3496) gives:
% 291.71/57.60 | (3526) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.60 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.60 | all_1631_10) | ~
% 291.71/57.60 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_1631_11)
% 291.71/57.60 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.60 | all_1601_5)))
% 291.71/57.60 |
% 291.71/57.60 | GROUND_INST: instantiating (fact_mult__pos__pos) with all_1631_11, all_1601_5,
% 291.71/57.60 | tc_RealDef_Oreal, all_901_0, all_1601_4, all_1631_10, simplifying
% 291.71/57.60 | with (281), (299), (457), (1217), (2628), (3481), (3496) gives:
% 291.71/57.60 | (3527) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.60 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.60 | all_1631_11) | ~
% 291.71/57.60 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_1601_5)
% 291.71/57.60 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.60 | all_1631_10)))
% 291.71/57.60 |
% 291.71/57.60 | GROUND_INST: instantiating (fact_mult__pos__neg) with all_1631_11, all_1601_5,
% 291.71/57.60 | tc_RealDef_Oreal, all_901_0, all_1601_4, all_1631_10, simplifying
% 291.71/57.60 | with (281), (299), (457), (1217), (2628), (3481), (3496) gives:
% 291.71/57.60 | (3528) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.60 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.60 | all_1601_5) | ~
% 291.71/57.60 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1631_11, v0)
% 291.71/57.60 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1631_10,
% 291.71/57.60 | v0)))
% 291.71/57.60 |
% 291.71/57.60 | GROUND_INST: instantiating (fact_mult__nonneg__nonpos2) with all_1601_5,
% 291.71/57.60 | all_1631_11, tc_RealDef_Oreal, all_901_0, all_1601_4,
% 291.71/57.60 | all_1631_10, simplifying with (285), (299), (457), (1217),
% 291.71/57.60 | (2628), (3481), (3496) gives:
% 291.71/57.60 | (3529) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.60 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.60 | v0, all_1631_11) | ~
% 291.71/57.60 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1601_5,
% 291.71/57.60 | v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.60 | all_1631_10, v0)))
% 291.71/57.60 |
% 291.71/57.60 | GROUND_INST: instantiating (fact_mult__nonneg__nonneg) with all_1631_11,
% 291.71/57.60 | all_1601_5, tc_RealDef_Oreal, all_901_0, all_1601_4, all_1631_10,
% 291.71/57.60 | simplifying with (285), (299), (457), (1217), (2628), (3481),
% 291.71/57.60 | (3496) gives:
% 291.71/57.60 | (3530) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.60 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.60 | v0, all_1631_11) | ~
% 291.71/57.60 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.60 | all_1601_5) |
% 291.71/57.60 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.60 | all_1631_10)))
% 291.71/57.60 |
% 291.71/57.60 | GROUND_INST: instantiating (fact_mult__nonneg__nonpos) with all_1631_11,
% 291.71/57.60 | all_1601_5, tc_RealDef_Oreal, all_901_0, all_1601_4, all_1631_10,
% 291.71/57.60 | simplifying with (285), (299), (457), (1217), (2628), (3481),
% 291.71/57.60 | (3496) gives:
% 291.71/57.60 | (3531) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.60 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.60 | v0, all_1601_5) | ~
% 291.71/57.60 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1631_11,
% 291.71/57.60 | v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.60 | all_1631_10, v0)))
% 291.71/57.60 |
% 291.71/57.60 | GROUND_INST: instantiating (fact_split__mult__neg__le) with all_1631_11,
% 291.71/57.60 | all_1601_5, tc_RealDef_Oreal, all_901_0, all_1601_4, all_1631_10,
% 291.71/57.60 | simplifying with (285), (299), (457), (1217), (2628), (3481),
% 291.71/57.60 | (3496) gives:
% 291.71/57.60 | (3532) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.60 | $i(v0) & (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.60 | all_1631_10, v0) | (( ~
% 291.71/57.60 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.60 | all_1631_11) | ~
% 291.71/57.60 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.60 | all_1601_5, v0)) & ( ~
% 291.71/57.60 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.60 | all_1601_5) | ~
% 291.71/57.60 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.60 | all_1631_11, v0)))))
% 291.71/57.60 |
% 291.71/57.60 | GROUND_INST: instantiating (fact_mult__nonpos__nonpos) with all_1631_11,
% 291.71/57.60 | all_1601_5, tc_RealDef_Oreal, all_901_0, all_1601_4, all_1631_10,
% 291.71/57.60 | simplifying with (293), (299), (457), (1217), (2628), (3481),
% 291.71/57.60 | (3496) gives:
% 291.71/57.60 | (3533) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.60 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.60 | all_1631_11, v0) | ~
% 291.71/57.60 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1601_5,
% 291.71/57.60 | v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.60 | all_1631_10)))
% 291.71/57.60 |
% 291.71/57.60 | GROUND_INST: instantiating (fact_split__mult__pos__le) with all_1631_11,
% 291.71/57.60 | all_1601_5, tc_RealDef_Oreal, all_901_0, all_1601_4, all_1631_10,
% 291.71/57.60 | simplifying with (293), (299), (457), (1217), (2628), (3481),
% 291.71/57.60 | (3496) gives:
% 291.71/57.60 | (3534) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.60 | $i(v0) & (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.60 | all_1631_10) | (( ~
% 291.71/57.60 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.60 | all_1631_11) | ~
% 291.71/57.60 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.60 | all_1601_5)) & ( ~
% 291.71/57.60 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.60 | all_1631_11, v0) | ~
% 291.71/57.60 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.60 | all_1601_5, v0)))))
% 291.71/57.60 |
% 291.71/57.60 | GROUND_INST: instantiating (fact_mult__eq__0__iff) with all_1631_11,
% 291.71/57.60 | all_1601_5, tc_RealDef_Oreal, all_901_0, all_1601_4, all_1631_10,
% 291.71/57.60 | simplifying with (287), (299), (457), (1217), (2628), (3481),
% 291.71/57.60 | (3496) gives:
% 291.71/57.61 | (3535) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.61 | $i(v0) & ( ~ (v0 = all_1631_10) | all_1631_10 = all_1631_11 |
% 291.71/57.61 | all_1631_10 = all_1601_5) & (v0 = all_1631_10 | ( ~ (v0 =
% 291.71/57.61 | all_1631_11) & ~ (v0 = all_1601_5))))
% 291.71/57.61 |
% 291.71/57.61 | GROUND_INST: instantiating (fact_mult__neg__neg) with all_1631_11, all_1601_5,
% 291.71/57.61 | tc_RealDef_Oreal, all_901_0, all_1601_4, all_1631_10, simplifying
% 291.71/57.61 | with (286), (299), (457), (1217), (2628), (3481), (3496) gives:
% 291.71/57.61 | (3536) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.61 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.61 | all_1631_11, v0) | ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1601_5, v0)
% 291.71/57.61 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.61 | all_1631_10)))
% 291.71/57.61 |
% 291.71/57.61 | GROUND_INST: instantiating (fact_zero__le__mult__iff) with all_1631_11,
% 291.71/57.61 | all_1601_5, tc_RealDef_Oreal, all_901_0, all_1601_4, all_1631_10,
% 291.71/57.61 | simplifying with (286), (299), (457), (1217), (2628), (3481),
% 291.71/57.61 | (3496) gives:
% 291.71/57.61 | (3537) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.61 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.61 | v0, all_1631_10) |
% 291.71/57.61 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.61 | all_1631_11) &
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.61 | all_1601_5)) |
% 291.71/57.61 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.61 | all_1631_11, v0) &
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.61 | all_1601_5, v0))) &
% 291.71/57.61 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.61 | all_1631_10) | (( ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.61 | all_1631_11) | ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.61 | all_1601_5)) & ( ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.61 | all_1631_11, v0) | ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.61 | all_1601_5, v0)))))
% 291.71/57.61 |
% 291.71/57.61 | GROUND_INST: instantiating (fact_mult__le__0__iff) with all_1631_11,
% 291.71/57.61 | all_1601_5, tc_RealDef_Oreal, all_901_0, all_1601_4, all_1631_10,
% 291.71/57.61 | simplifying with (286), (299), (457), (1217), (2628), (3481),
% 291.71/57.61 | (3496) gives:
% 291.71/57.61 | (3538) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.61 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.61 | all_1631_10, v0) |
% 291.71/57.61 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.61 | all_1631_11) &
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.61 | all_1601_5, v0)) |
% 291.71/57.61 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.61 | all_1601_5) &
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.61 | all_1631_11, v0))) &
% 291.71/57.61 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1631_10,
% 291.71/57.61 | v0) | (( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.61 | v0, all_1631_11) | ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.61 | all_1601_5, v0)) & ( ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.61 | all_1601_5) | ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.61 | all_1631_11, v0)))))
% 291.71/57.61 |
% 291.71/57.61 | GROUND_INST: instantiating (fact_no__zero__divisors) with all_1631_11,
% 291.71/57.61 | all_1601_5, tc_RealDef_Oreal, all_901_0, all_1601_4, all_1631_10,
% 291.71/57.61 | simplifying with (290), (299), (457), (1217), (2628), (3481),
% 291.71/57.61 | (3496) gives:
% 291.71/57.61 | (3539) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.61 | $i(v0) & ( ~ (v0 = all_1631_10) | all_1631_10 = all_1631_11 |
% 291.71/57.61 | all_1631_10 = all_1601_5))
% 291.71/57.61 |
% 291.71/57.61 | GROUND_INST: instantiating (fact_mult__pos__neg2) with all_957_0, v_y____,
% 291.71/57.61 | tc_RealDef_Oreal, all_901_0, all_1228_1, all_1244_1, simplifying
% 291.71/57.61 | with (33), (281), (299), (457), (3435), (3436), (3478) gives:
% 291.71/57.61 | (3540) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.61 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.61 | v_y____) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.61 | all_957_0, v0) |
% 291.71/57.61 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1244_1,
% 291.71/57.61 | v0)))
% 291.71/57.61 |
% 291.71/57.61 | GROUND_INST: instantiating (fact_zero__less__mult__pos) with v_y____,
% 291.71/57.61 | all_957_0, tc_RealDef_Oreal, all_901_0, all_1228_1, all_1244_1,
% 291.71/57.61 | simplifying with (33), (281), (299), (457), (3435), (3436),
% 291.71/57.61 | (3478) gives:
% 291.71/57.61 | (3541) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.61 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.61 | all_1244_1) | ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_957_0) |
% 291.71/57.61 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v_y____)))
% 291.71/57.61 |
% 291.71/57.61 | GROUND_INST: instantiating (fact_zero__less__mult__pos2) with v_y____,
% 291.71/57.61 | all_957_0, tc_RealDef_Oreal, all_901_0, all_1228_1, all_1244_1,
% 291.71/57.61 | simplifying with (33), (281), (299), (457), (3435), (3436),
% 291.71/57.61 | (3478) gives:
% 291.71/57.61 | (3542) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.61 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.61 | all_1244_1) | ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v_y____) |
% 291.71/57.61 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_957_0)))
% 291.71/57.61 |
% 291.71/57.61 | GROUND_INST: instantiating (fact_mult__pos__pos) with v_y____, all_957_0,
% 291.71/57.61 | tc_RealDef_Oreal, all_901_0, all_1228_1, all_1244_1, simplifying
% 291.71/57.61 | with (33), (281), (299), (457), (3435), (3436), (3478) gives:
% 291.71/57.61 | (3543) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.61 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.61 | all_957_0) | ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v_y____) |
% 291.71/57.61 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.61 | all_1244_1)))
% 291.71/57.61 |
% 291.71/57.61 | GROUND_INST: instantiating (fact_mult__pos__neg) with v_y____, all_957_0,
% 291.71/57.61 | tc_RealDef_Oreal, all_901_0, all_1228_1, all_1244_1, simplifying
% 291.71/57.61 | with (33), (281), (299), (457), (3435), (3436), (3478) gives:
% 291.71/57.61 | (3544) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.61 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.61 | all_957_0) | ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_y____, v0) |
% 291.71/57.61 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1244_1,
% 291.71/57.61 | v0)))
% 291.71/57.61 |
% 291.71/57.61 | GROUND_INST: instantiating (fact_mult__nonneg__nonpos2) with all_957_0,
% 291.71/57.61 | v_y____, tc_RealDef_Oreal, all_901_0, all_1228_1, all_1244_1,
% 291.71/57.61 | simplifying with (33), (285), (299), (457), (3435), (3436),
% 291.71/57.61 | (3478) gives:
% 291.71/57.61 | (3545) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.61 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.61 | v0, v_y____) | ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_957_0,
% 291.71/57.61 | v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.61 | all_1244_1, v0)))
% 291.71/57.61 |
% 291.71/57.61 | GROUND_INST: instantiating (fact_mult__nonneg__nonneg) with v_y____,
% 291.71/57.61 | all_957_0, tc_RealDef_Oreal, all_901_0, all_1228_1, all_1244_1,
% 291.71/57.61 | simplifying with (33), (285), (299), (457), (3435), (3436),
% 291.71/57.61 | (3478) gives:
% 291.71/57.61 | (3546) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.61 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.61 | v0, all_957_0) | ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v_y____)
% 291.71/57.61 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.61 | all_1244_1)))
% 291.71/57.61 |
% 291.71/57.61 | GROUND_INST: instantiating (fact_mult__nonneg__nonpos) with v_y____,
% 291.71/57.61 | all_957_0, tc_RealDef_Oreal, all_901_0, all_1228_1, all_1244_1,
% 291.71/57.61 | simplifying with (33), (285), (299), (457), (3435), (3436),
% 291.71/57.61 | (3478) gives:
% 291.71/57.61 | (3547) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.61 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.61 | v0, all_957_0) | ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_y____, v0)
% 291.71/57.61 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.61 | all_1244_1, v0)))
% 291.71/57.61 |
% 291.71/57.61 | GROUND_INST: instantiating (fact_split__mult__neg__le) with v_y____,
% 291.71/57.61 | all_957_0, tc_RealDef_Oreal, all_901_0, all_1228_1, all_1244_1,
% 291.71/57.61 | simplifying with (33), (285), (299), (457), (3435), (3436),
% 291.71/57.61 | (3478) gives:
% 291.71/57.61 | (3548) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.61 | $i(v0) & (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.61 | all_1244_1, v0) | (( ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.61 | all_957_0) | ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_y____,
% 291.71/57.61 | v0)) & ( ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.61 | v_y____) | ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.61 | all_957_0, v0)))))
% 291.71/57.61 |
% 291.71/57.61 | GROUND_INST: instantiating (fact_mult__nonpos__nonpos) with v_y____,
% 291.71/57.61 | all_957_0, tc_RealDef_Oreal, all_901_0, all_1228_1, all_1244_1,
% 291.71/57.61 | simplifying with (33), (293), (299), (457), (3435), (3436),
% 291.71/57.61 | (3478) gives:
% 291.71/57.61 | (3549) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.61 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.61 | all_957_0, v0) | ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_y____, v0)
% 291.71/57.61 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.61 | all_1244_1)))
% 291.71/57.61 |
% 291.71/57.61 | GROUND_INST: instantiating (fact_split__mult__pos__le) with v_y____,
% 291.71/57.61 | all_957_0, tc_RealDef_Oreal, all_901_0, all_1228_1, all_1244_1,
% 291.71/57.61 | simplifying with (33), (293), (299), (457), (3435), (3436),
% 291.71/57.61 | (3478) gives:
% 291.71/57.61 | (3550) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.61 | $i(v0) & (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.61 | all_1244_1) | (( ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.61 | all_957_0) | ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.61 | v_y____)) & ( ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.61 | all_957_0, v0) | ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_y____,
% 291.71/57.61 | v0)))))
% 291.71/57.61 |
% 291.71/57.61 | GROUND_INST: instantiating (fact_mult__eq__0__iff) with v_y____, all_957_0,
% 291.71/57.61 | tc_RealDef_Oreal, all_901_0, all_1228_1, all_1244_1, simplifying
% 291.71/57.61 | with (33), (287), (299), (457), (3435), (3436), (3478) gives:
% 291.71/57.61 | (3551) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.61 | $i(v0) & ( ~ (v0 = all_1244_1) | all_1244_1 = all_957_0 |
% 291.71/57.61 | all_1244_1 = v_y____) & (v0 = all_1244_1 | ( ~ (v0 = all_957_0)
% 291.71/57.61 | & ~ (v0 = v_y____))))
% 291.71/57.61 |
% 291.71/57.61 | GROUND_INST: instantiating (fact_mult__neg__neg) with v_y____, all_957_0,
% 291.71/57.61 | tc_RealDef_Oreal, all_901_0, all_1228_1, all_1244_1, simplifying
% 291.71/57.61 | with (33), (286), (299), (457), (3435), (3436), (3478) gives:
% 291.71/57.61 | (3552) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.61 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.61 | all_957_0, v0) | ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_y____, v0) |
% 291.71/57.61 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.61 | all_1244_1)))
% 291.71/57.61 |
% 291.71/57.61 | GROUND_INST: instantiating (fact_zero__le__mult__iff) with v_y____, all_957_0,
% 291.71/57.61 | tc_RealDef_Oreal, all_901_0, all_1228_1, all_1244_1, simplifying
% 291.71/57.61 | with (33), (286), (299), (457), (3435), (3436), (3478) gives:
% 291.71/57.61 | (3553) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.61 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.61 | v0, all_1244_1) |
% 291.71/57.61 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.61 | all_957_0) &
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.61 | v_y____)) |
% 291.71/57.61 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_957_0,
% 291.71/57.61 | v0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.61 | v_y____, v0))) &
% 291.71/57.61 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.61 | all_1244_1) | (( ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.61 | all_957_0) | ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.61 | v_y____)) & ( ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.61 | all_957_0, v0) | ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_y____,
% 291.71/57.61 | v0)))))
% 291.71/57.61 |
% 291.71/57.61 | GROUND_INST: instantiating (fact_mult__le__0__iff) with v_y____, all_957_0,
% 291.71/57.61 | tc_RealDef_Oreal, all_901_0, all_1228_1, all_1244_1, simplifying
% 291.71/57.61 | with (33), (286), (299), (457), (3435), (3436), (3478) gives:
% 291.71/57.61 | (3554) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.61 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.61 | all_1244_1, v0) |
% 291.71/57.61 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.61 | all_957_0) &
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_y____,
% 291.71/57.61 | v0)) | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.61 | v0, v_y____) &
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_957_0,
% 291.71/57.61 | v0))) & (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.61 | all_1244_1, v0) | (( ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.61 | all_957_0) | ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_y____,
% 291.71/57.61 | v0)) & ( ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.61 | v_y____) | ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.61 | all_957_0, v0)))))
% 291.71/57.61 |
% 291.71/57.61 | GROUND_INST: instantiating (fact_no__zero__divisors) with v_y____, all_957_0,
% 291.71/57.61 | tc_RealDef_Oreal, all_901_0, all_1228_1, all_1244_1, simplifying
% 291.71/57.61 | with (33), (290), (299), (457), (3435), (3436), (3478) gives:
% 291.71/57.61 | (3555) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.61 | $i(v0) & ( ~ (v0 = all_1244_1) | all_1244_1 = all_957_0 |
% 291.71/57.61 | all_1244_1 = v_y____))
% 291.71/57.61 |
% 291.71/57.61 | GROUND_INST: instantiating (fact_mult__pos__neg2) with all_957_0, v_x____,
% 291.71/57.61 | tc_RealDef_Oreal, all_901_0, all_1228_1, all_1228_0, simplifying
% 291.71/57.61 | with (281), (299), (300), (457), (727), (3435), (3436) gives:
% 291.71/57.61 | (3556) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.61 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.61 | v_x____) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.61 | all_957_0, v0) |
% 291.71/57.61 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1228_0,
% 291.71/57.61 | v0)))
% 291.71/57.61 |
% 291.71/57.61 | GROUND_INST: instantiating (fact_zero__less__mult__pos) with v_x____,
% 291.71/57.61 | all_957_0, tc_RealDef_Oreal, all_901_0, all_1228_1, all_1228_0,
% 291.71/57.61 | simplifying with (281), (299), (300), (457), (727), (3435),
% 291.71/57.61 | (3436) gives:
% 291.71/57.61 | (3557) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.61 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.61 | all_1228_0) | ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_957_0) |
% 291.71/57.61 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v_x____)))
% 291.71/57.61 |
% 291.71/57.61 | GROUND_INST: instantiating (fact_zero__less__mult__pos2) with v_x____,
% 291.71/57.61 | all_957_0, tc_RealDef_Oreal, all_901_0, all_1228_1, all_1228_0,
% 291.71/57.61 | simplifying with (281), (299), (300), (457), (727), (3435),
% 291.71/57.61 | (3436) gives:
% 291.71/57.61 | (3558) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.61 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.61 | all_1228_0) | ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v_x____) |
% 291.71/57.61 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_957_0)))
% 291.71/57.61 |
% 291.71/57.61 | GROUND_INST: instantiating (fact_mult__pos__pos) with v_x____, all_957_0,
% 291.71/57.61 | tc_RealDef_Oreal, all_901_0, all_1228_1, all_1228_0, simplifying
% 291.71/57.61 | with (281), (299), (300), (457), (727), (3435), (3436) gives:
% 291.71/57.61 | (3559) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.61 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.61 | all_957_0) | ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v_x____) |
% 291.71/57.61 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.61 | all_1228_0)))
% 291.71/57.61 |
% 291.71/57.61 | GROUND_INST: instantiating (fact_mult__pos__neg) with v_x____, all_957_0,
% 291.71/57.61 | tc_RealDef_Oreal, all_901_0, all_1228_1, all_1228_0, simplifying
% 291.71/57.61 | with (281), (299), (300), (457), (727), (3435), (3436) gives:
% 291.71/57.61 | (3560) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.61 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.61 | all_957_0) | ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_x____, v0) |
% 291.71/57.61 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1228_0,
% 291.71/57.61 | v0)))
% 291.71/57.61 |
% 291.71/57.61 | GROUND_INST: instantiating (fact_mult__nonneg__nonpos2) with all_957_0,
% 291.71/57.61 | v_x____, tc_RealDef_Oreal, all_901_0, all_1228_1, all_1228_0,
% 291.71/57.61 | simplifying with (285), (299), (300), (457), (727), (3435),
% 291.71/57.61 | (3436) gives:
% 291.71/57.61 | (3561) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.61 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.61 | v0, v_x____) | ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_957_0,
% 291.71/57.61 | v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.61 | all_1228_0, v0)))
% 291.71/57.61 |
% 291.71/57.61 | GROUND_INST: instantiating (fact_mult__nonneg__nonneg) with v_x____,
% 291.71/57.61 | all_957_0, tc_RealDef_Oreal, all_901_0, all_1228_1, all_1228_0,
% 291.71/57.61 | simplifying with (285), (299), (300), (457), (727), (3435),
% 291.71/57.61 | (3436) gives:
% 291.71/57.61 | (3562) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.61 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.61 | v0, all_957_0) | ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v_x____)
% 291.71/57.61 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.61 | all_1228_0)))
% 291.71/57.61 |
% 291.71/57.61 | GROUND_INST: instantiating (fact_mult__nonneg__nonpos) with v_x____,
% 291.71/57.61 | all_957_0, tc_RealDef_Oreal, all_901_0, all_1228_1, all_1228_0,
% 291.71/57.61 | simplifying with (285), (299), (300), (457), (727), (3435),
% 291.71/57.61 | (3436) gives:
% 291.71/57.61 | (3563) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.61 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.61 | v0, all_957_0) | ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_x____, v0)
% 291.71/57.61 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.61 | all_1228_0, v0)))
% 291.71/57.61 |
% 291.71/57.61 | GROUND_INST: instantiating (fact_split__mult__neg__le) with v_x____,
% 291.71/57.61 | all_957_0, tc_RealDef_Oreal, all_901_0, all_1228_1, all_1228_0,
% 291.71/57.61 | simplifying with (285), (299), (300), (457), (727), (3435),
% 291.71/57.61 | (3436) gives:
% 291.71/57.61 | (3564) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.61 | $i(v0) & (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.61 | all_1228_0, v0) | (( ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.61 | all_957_0) | ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_x____,
% 291.71/57.61 | v0)) & ( ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.61 | v_x____) | ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.61 | all_957_0, v0)))))
% 291.71/57.61 |
% 291.71/57.61 | GROUND_INST: instantiating (fact_mult__nonpos__nonpos) with v_x____,
% 291.71/57.61 | all_957_0, tc_RealDef_Oreal, all_901_0, all_1228_1, all_1228_0,
% 291.71/57.61 | simplifying with (293), (299), (300), (457), (727), (3435),
% 291.71/57.61 | (3436) gives:
% 291.71/57.61 | (3565) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.61 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.61 | all_957_0, v0) | ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_x____, v0)
% 291.71/57.61 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.61 | all_1228_0)))
% 291.71/57.61 |
% 291.71/57.61 | GROUND_INST: instantiating (fact_split__mult__pos__le) with v_x____,
% 291.71/57.61 | all_957_0, tc_RealDef_Oreal, all_901_0, all_1228_1, all_1228_0,
% 291.71/57.61 | simplifying with (293), (299), (300), (457), (727), (3435),
% 291.71/57.61 | (3436) gives:
% 291.71/57.61 | (3566) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.61 | $i(v0) & (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.61 | all_1228_0) | (( ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.61 | all_957_0) | ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.61 | v_x____)) & ( ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.61 | all_957_0, v0) | ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_x____,
% 291.71/57.61 | v0)))))
% 291.71/57.61 |
% 291.71/57.61 | GROUND_INST: instantiating (fact_mult__eq__0__iff) with v_x____, all_957_0,
% 291.71/57.61 | tc_RealDef_Oreal, all_901_0, all_1228_1, all_1228_0, simplifying
% 291.71/57.61 | with (287), (299), (300), (457), (727), (3435), (3436) gives:
% 291.71/57.61 | (3567) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.61 | $i(v0) & ( ~ (v0 = all_1228_0) | all_1228_0 = all_957_0 |
% 291.71/57.61 | all_1228_0 = v_x____) & (v0 = all_1228_0 | ( ~ (v0 = all_957_0)
% 291.71/57.61 | & ~ (v0 = v_x____))))
% 291.71/57.61 |
% 291.71/57.61 | GROUND_INST: instantiating (fact_mult__neg__neg) with v_x____, all_957_0,
% 291.71/57.61 | tc_RealDef_Oreal, all_901_0, all_1228_1, all_1228_0, simplifying
% 291.71/57.61 | with (286), (299), (300), (457), (727), (3435), (3436) gives:
% 291.71/57.61 | (3568) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.61 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.61 | all_957_0, v0) | ~
% 291.71/57.61 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_x____, v0) |
% 291.71/57.61 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.61 | all_1228_0)))
% 291.71/57.61 |
% 291.71/57.61 | GROUND_INST: instantiating (fact_zero__le__mult__iff) with v_x____, all_957_0,
% 291.71/57.61 | tc_RealDef_Oreal, all_901_0, all_1228_1, all_1228_0, simplifying
% 291.71/57.61 | with (286), (299), (300), (457), (727), (3435), (3436) gives:
% 291.71/57.62 | (3569) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.62 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.62 | v0, all_1228_0) |
% 291.71/57.62 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.62 | all_957_0) &
% 291.71/57.62 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.62 | v_x____)) |
% 291.71/57.62 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_957_0,
% 291.71/57.62 | v0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.62 | v_x____, v0))) &
% 291.71/57.62 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.62 | all_1228_0) | (( ~
% 291.71/57.62 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.62 | all_957_0) | ~
% 291.71/57.62 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.62 | v_x____)) & ( ~
% 291.71/57.62 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.62 | all_957_0, v0) | ~
% 291.71/57.62 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_x____,
% 291.71/57.62 | v0)))))
% 291.71/57.62 |
% 291.71/57.62 | GROUND_INST: instantiating (fact_mult__le__0__iff) with v_x____, all_957_0,
% 291.71/57.62 | tc_RealDef_Oreal, all_901_0, all_1228_1, all_1228_0, simplifying
% 291.71/57.62 | with (286), (299), (300), (457), (727), (3435), (3436) gives:
% 291.71/57.62 | (3570) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.62 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.62 | all_1228_0, v0) |
% 291.71/57.62 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.62 | all_957_0) &
% 291.71/57.62 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_x____,
% 291.71/57.62 | v0)) | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.62 | v0, v_x____) &
% 291.71/57.62 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_957_0,
% 291.71/57.62 | v0))) & (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.62 | all_1228_0, v0) | (( ~
% 291.71/57.62 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.62 | all_957_0) | ~
% 291.71/57.62 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_x____,
% 291.71/57.62 | v0)) & ( ~
% 291.71/57.62 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.62 | v_x____) | ~
% 291.71/57.62 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.62 | all_957_0, v0)))))
% 291.71/57.62 |
% 291.71/57.62 | GROUND_INST: instantiating (fact_no__zero__divisors) with v_x____, all_957_0,
% 291.71/57.62 | tc_RealDef_Oreal, all_901_0, all_1228_1, all_1228_0, simplifying
% 291.71/57.62 | with (290), (299), (300), (457), (727), (3435), (3436) gives:
% 291.71/57.62 | (3571) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.62 | $i(v0) & ( ~ (v0 = all_1228_0) | all_1228_0 = all_957_0 |
% 291.71/57.62 | all_1228_0 = v_x____))
% 291.71/57.62 |
% 291.71/57.62 | GROUND_INST: instantiating (fact_power__mono) with all_916_2, all_635_0,
% 291.71/57.62 | all_1311_1, tc_RealDef_Oreal, all_1143_0, all_1581_5, all_1581_3,
% 291.71/57.62 | all_1581_1, all_1581_0, simplifying with (288), (299), (656),
% 291.71/57.62 | (1135), (2630), (2643), (2646), (3420), (3421), (3437), (3500),
% 291.71/57.62 | (3501) gives:
% 291.71/57.62 | (3572) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.62 | $i(v0) & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.62 | v0, all_1311_1))
% 291.71/57.62 |
% 291.71/57.62 | GROUND_INST: instantiating (fact_field__power__not__zero) with all_916_2,
% 291.71/57.62 | all_635_0, tc_RealDef_Oreal, all_1143_0, all_1581_1, all_1581_0,
% 291.71/57.62 | simplifying with (284), (299), (656), (2630), (2643), (3420),
% 291.71/57.62 | (3437) gives:
% 291.71/57.62 | (3573) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.62 | $i(v0) & ( ~ (v0 = all_1581_0) | all_1581_0 = all_635_0))
% 291.71/57.62 |
% 291.71/57.62 | GROUND_INST: instantiating (939) with all_916_2, all_635_0, tc_RealDef_Oreal,
% 291.71/57.62 | all_1143_0, all_1581_1, all_1581_0, simplifying with (290),
% 291.71/57.62 | (292), (294), (296), (299), (656), (2630), (2643), (3420), (3437)
% 291.71/57.62 | gives:
% 291.71/57.62 | (3574) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.62 | $i(v0) & ( ~ (v0 = all_1581_0) | (all_1581_0 = all_635_0 & ~
% 291.71/57.62 | (all_1413_0 = all_916_2))) & ( ~ (v0 = all_635_0) | all_1581_0
% 291.71/57.62 | = all_635_0 | all_1413_0 = all_916_2))
% 291.71/57.62 |
% 291.71/57.62 | GROUND_INST: instantiating (fact_zero__less__power) with all_916_2, all_635_0,
% 291.71/57.62 | tc_RealDef_Oreal, all_1143_0, all_1581_1, all_1581_0, simplifying
% 291.71/57.62 | with (288), (299), (656), (2630), (2643), (3420), (3437) gives:
% 291.71/57.62 | (3575) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.62 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.62 | all_635_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.62 | v0, all_1581_0)))
% 291.71/57.62 |
% 291.71/57.62 | GROUND_INST: instantiating (fact_zero__le__power) with all_916_2, all_635_0,
% 291.71/57.62 | tc_RealDef_Oreal, all_1143_0, all_1581_1, all_1581_0, simplifying
% 291.71/57.62 | with (288), (299), (656), (2630), (2643), (3420), (3437) gives:
% 291.71/57.62 | (3576) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.62 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.62 | v0, all_635_0) |
% 291.71/57.62 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.62 | all_1581_0)))
% 291.71/57.62 |
% 291.71/57.62 | GROUND_INST: instantiating (fact_field__power__not__zero) with all_916_2,
% 291.71/57.62 | all_1311_1, tc_RealDef_Oreal, all_1143_0, all_1581_5, all_1581_3,
% 291.71/57.62 | simplifying with (284), (299), (656), (3421), (3437), (3500),
% 291.71/57.62 | (3501) gives:
% 291.71/57.62 | (3577) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.62 | $i(v0) & ( ~ (v0 = all_1581_3) | all_1581_3 = all_1311_1))
% 291.71/57.62 |
% 291.71/57.62 | GROUND_INST: instantiating (939) with all_916_2, all_1311_1, tc_RealDef_Oreal,
% 291.71/57.62 | all_1143_0, all_1581_5, all_1581_3, simplifying with (290),
% 291.71/57.62 | (292), (294), (296), (299), (656), (3421), (3437), (3500), (3501)
% 291.71/57.62 | gives:
% 291.71/57.62 | (3578) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.62 | $i(v0) & ( ~ (v0 = all_1581_3) | (all_1581_3 = all_1311_1 & ~
% 291.71/57.62 | (all_1413_0 = all_916_2))) & ( ~ (v0 = all_1311_1) |
% 291.71/57.62 | all_1581_3 = all_1311_1 | all_1413_0 = all_916_2))
% 291.71/57.62 |
% 291.71/57.62 | GROUND_INST: instantiating (fact_zero__less__power) with all_916_2,
% 291.71/57.62 | all_1311_1, tc_RealDef_Oreal, all_1143_0, all_1581_5, all_1581_3,
% 291.71/57.62 | simplifying with (288), (299), (656), (3421), (3437), (3500),
% 291.71/57.62 | (3501) gives:
% 291.71/57.62 | (3579) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.62 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.62 | all_1311_1) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.62 | v0, all_1581_3)))
% 291.71/57.62 |
% 291.71/57.62 | GROUND_INST: instantiating (fact_zero__le__power) with all_916_2, all_1311_1,
% 291.71/57.62 | tc_RealDef_Oreal, all_1143_0, all_1581_5, all_1581_3, simplifying
% 291.71/57.62 | with (288), (299), (656), (3421), (3437), (3500), (3501) gives:
% 291.71/57.62 | (3580) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.62 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.62 | v0, all_1311_1) |
% 291.71/57.62 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.62 | all_1581_3)))
% 291.71/57.62 |
% 291.71/57.62 | GROUND_INST: instantiating (fact_field__power__not__zero) with all_916_2,
% 291.71/57.62 | v_y____, tc_RealDef_Oreal, all_1143_0, all_1396_2, all_1396_1,
% 291.71/57.62 | simplifying with (33), (284), (299), (656), (2634), (3422),
% 291.71/57.62 | (3437) gives:
% 291.71/57.62 | (3581) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.62 | $i(v0) & ( ~ (v0 = all_1396_1) | all_1396_1 = v_y____))
% 291.71/57.62 |
% 291.71/57.62 | GROUND_INST: instantiating (939) with all_916_2, v_y____, tc_RealDef_Oreal,
% 291.71/57.62 | all_1143_0, all_1396_2, all_1396_1, simplifying with (33), (290),
% 291.71/57.62 | (292), (294), (296), (299), (656), (2634), (3422), (3437) gives:
% 291.71/57.62 | (3582) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.62 | $i(v0) & ( ~ (v0 = all_1396_1) | (all_1396_1 = v_y____ & ~
% 291.71/57.62 | (all_1413_0 = all_916_2))) & ( ~ (v0 = v_y____) | all_1413_0 =
% 291.71/57.62 | all_916_2 | all_1396_1 = v_y____))
% 291.71/57.62 |
% 291.71/57.62 | GROUND_INST: instantiating (fact_zero__less__power) with all_916_2, v_y____,
% 291.71/57.62 | tc_RealDef_Oreal, all_1143_0, all_1396_2, all_1396_1, simplifying
% 291.71/57.62 | with (33), (288), (299), (656), (2634), (3422), (3437) gives:
% 291.71/57.62 | (3583) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.62 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.62 | v_y____) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.62 | all_1396_1)))
% 291.71/57.62 |
% 291.71/57.62 | GROUND_INST: instantiating (fact_zero__le__power) with all_916_2, v_y____,
% 291.71/57.62 | tc_RealDef_Oreal, all_1143_0, all_1396_2, all_1396_1, simplifying
% 291.71/57.62 | with (33), (288), (299), (656), (2634), (3422), (3437) gives:
% 291.71/57.62 | (3584) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.62 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.62 | v0, v_y____) |
% 291.71/57.62 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.62 | all_1396_1)))
% 291.71/57.62 |
% 291.71/57.62 | GROUND_INST: instantiating (fact_field__power__not__zero) with all_916_2,
% 291.71/57.62 | v_x____, tc_RealDef_Oreal, all_1143_0, all_1396_7, all_1396_3,
% 291.71/57.62 | simplifying with (284), (299), (300), (656), (2635), (3423),
% 291.71/57.62 | (3437) gives:
% 291.71/57.62 | (3585) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.62 | $i(v0) & ( ~ (v0 = all_1396_3) | all_1396_3 = v_x____))
% 291.71/57.62 |
% 291.71/57.62 | GROUND_INST: instantiating (939) with all_916_2, v_x____, tc_RealDef_Oreal,
% 291.71/57.62 | all_1143_0, all_1396_7, all_1396_3, simplifying with (290),
% 291.71/57.62 | (292), (294), (296), (299), (300), (656), (2635), (3423), (3437)
% 291.71/57.62 | gives:
% 291.71/57.62 | (3586) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.62 | $i(v0) & ( ~ (v0 = all_1396_3) | (all_1396_3 = v_x____ & ~
% 291.71/57.62 | (all_1413_0 = all_916_2))) & ( ~ (v0 = v_x____) | all_1413_0 =
% 291.71/57.62 | all_916_2 | all_1396_3 = v_x____))
% 291.71/57.62 |
% 291.71/57.62 | GROUND_INST: instantiating (fact_zero__less__power) with all_916_2, v_x____,
% 291.71/57.62 | tc_RealDef_Oreal, all_1143_0, all_1396_7, all_1396_3, simplifying
% 291.71/57.62 | with (288), (299), (300), (656), (2635), (3423), (3437) gives:
% 291.71/57.62 | (3587) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.62 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.62 | v_x____) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.62 | all_1396_3)))
% 291.71/57.62 |
% 291.71/57.62 | GROUND_INST: instantiating (fact_zero__le__power) with all_916_2, v_x____,
% 291.71/57.62 | tc_RealDef_Oreal, all_1143_0, all_1396_7, all_1396_3, simplifying
% 291.71/57.62 | with (288), (299), (300), (656), (2635), (3423), (3437) gives:
% 291.71/57.62 | (3588) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.62 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.62 | v0, v_x____) |
% 291.71/57.62 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.62 | all_1396_3)))
% 291.71/57.62 |
% 291.71/57.62 | GROUND_INST: instantiating (968) with all_1311_1, tc_RealDef_Oreal,
% 291.71/57.62 | all_1143_0, all_1581_5, simplifying with (284), (299), (656),
% 291.71/57.62 | (3500), (3501) gives:
% 291.71/57.62 | (3589) ? [v0: any] : ? [v1: $i] :
% 291.71/57.62 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v1) & ( ~
% 291.71/57.62 | (v1 = all_1311_1) | (v0 = all_1311_1 & hAPP(all_1581_5,
% 291.71/57.62 | all_1434_0) = all_1311_1)) & (v1 = all_1311_1 | ( ~ (v1 =
% 291.71/57.62 | v0) & hAPP(all_1581_5, all_1434_0) = v0 & $i(v0))))
% 291.71/57.62 |
% 291.71/57.62 | GROUND_INST: instantiating (809) with all_1311_1, tc_RealDef_Oreal,
% 291.71/57.62 | all_1143_0, all_1581_5, simplifying with (291), (299), (656),
% 291.71/57.62 | (3500), (3501) gives:
% 291.71/57.62 | (3590) ? [v0: $i] : ? [v1: $i] :
% 291.71/57.62 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 291.71/57.62 | hAPP(all_1581_5, all_1296_0) = v0 & $i(v1) & $i(v0) & ~
% 291.71/57.62 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1))
% 291.71/57.62 |
% 291.71/57.62 | GROUND_INST: instantiating (814) with all_1311_1, tc_RealDef_Oreal,
% 291.71/57.62 | all_1143_0, all_1581_5, simplifying with (291), (299), (656),
% 291.71/57.62 | (3500), (3501) gives:
% 291.71/57.62 | (3591) ? [v0: $i] : ? [v1: $i] :
% 291.71/57.62 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.62 | hAPP(all_1581_5, all_1299_0) = v1 & $i(v1) & $i(v0) &
% 291.71/57.62 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1))
% 291.71/57.62 |
% 291.71/57.62 | GROUND_INST: instantiating (983) with all_1311_1, tc_RealDef_Oreal,
% 291.71/57.62 | all_1143_0, all_1581_5, simplifying with (291), (299), (656),
% 291.71/57.62 | (3500), (3501) gives:
% 291.71/57.62 | (3592) ? [v0: $i] : ? [v1: $i] :
% 291.71/57.62 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ( ~
% 291.71/57.62 | (v0 = all_1311_1) | (hAPP(all_1581_5, all_1449_0) = v1 & $i(v1)
% 291.71/57.62 | & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.62 | all_1311_1, v1))) & (v0 = all_1311_1 | (hAPP(all_1581_5,
% 291.71/57.62 | all_1449_0) = v1 & $i(v1) &
% 291.71/57.62 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1))))
% 291.71/57.62 |
% 291.71/57.62 | GROUND_INST: instantiating (968) with all_957_0, tc_RealDef_Oreal, all_1143_0,
% 291.71/57.62 | all_1233_0, simplifying with (284), (299), (656), (3424), (3436)
% 291.71/57.62 | gives:
% 291.71/57.62 | (3593) ? [v0: any] : ? [v1: $i] :
% 291.71/57.62 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v1) & ( ~
% 291.71/57.62 | (v1 = all_957_0) | (v0 = all_957_0 & hAPP(all_1233_0,
% 291.71/57.62 | all_1434_0) = all_957_0)) & (v1 = all_957_0 | ( ~ (v1 = v0)
% 291.71/57.62 | & hAPP(all_1233_0, all_1434_0) = v0 & $i(v0))))
% 291.71/57.62 |
% 291.71/57.62 | GROUND_INST: instantiating (809) with all_957_0, tc_RealDef_Oreal, all_1143_0,
% 291.71/57.62 | all_1233_0, simplifying with (291), (299), (656), (3424), (3436)
% 291.71/57.62 | gives:
% 291.71/57.62 | (3594) ? [v0: $i] : ? [v1: $i] :
% 291.71/57.62 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 291.71/57.62 | hAPP(all_1233_0, all_1296_0) = v0 & $i(v1) & $i(v0) & ~
% 291.71/57.62 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1))
% 291.71/57.62 |
% 291.71/57.62 | GROUND_INST: instantiating (814) with all_957_0, tc_RealDef_Oreal, all_1143_0,
% 291.71/57.62 | all_1233_0, simplifying with (291), (299), (656), (3424), (3436)
% 291.71/57.62 | gives:
% 291.71/57.62 | (3595) ? [v0: $i] : ? [v1: $i] :
% 291.71/57.62 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.62 | hAPP(all_1233_0, all_1299_0) = v1 & $i(v1) & $i(v0) &
% 291.71/57.62 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1))
% 291.71/57.62 |
% 291.71/57.62 | GROUND_INST: instantiating (983) with all_957_0, tc_RealDef_Oreal, all_1143_0,
% 291.71/57.62 | all_1233_0, simplifying with (291), (299), (656), (3424), (3436)
% 291.71/57.62 | gives:
% 291.71/57.62 | (3596) ? [v0: $i] : ? [v1: $i] :
% 291.71/57.62 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ( ~
% 291.71/57.62 | (v0 = all_957_0) | (hAPP(all_1233_0, all_1449_0) = v1 & $i(v1) &
% 291.71/57.62 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_957_0,
% 291.71/57.62 | v1))) & (v0 = all_957_0 | (hAPP(all_1233_0, all_1449_0) = v1
% 291.71/57.62 | & $i(v1) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.62 | v1))))
% 291.71/57.62 |
% 291.71/57.62 | GROUND_INST: instantiating (968) with all_635_0, tc_RealDef_Oreal, all_1143_0,
% 291.71/57.62 | all_1581_1, simplifying with (284), (299), (656), (2630), (2643)
% 291.71/57.62 | gives:
% 291.71/57.62 | (3597) ? [v0: any] : ? [v1: $i] :
% 291.71/57.62 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v1) & ( ~
% 291.71/57.62 | (v1 = all_635_0) | (v0 = all_635_0 & hAPP(all_1581_1,
% 291.71/57.62 | all_1434_0) = all_635_0)) & (v1 = all_635_0 | ( ~ (v1 = v0)
% 291.71/57.62 | & hAPP(all_1581_1, all_1434_0) = v0 & $i(v0))))
% 291.71/57.62 |
% 291.71/57.62 | GROUND_INST: instantiating (809) with all_635_0, tc_RealDef_Oreal, all_1143_0,
% 291.71/57.62 | all_1581_1, simplifying with (291), (299), (656), (2630), (2643)
% 291.71/57.62 | gives:
% 291.71/57.62 | (3598) ? [v0: $i] : ? [v1: $i] :
% 291.71/57.62 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 291.71/57.62 | hAPP(all_1581_1, all_1296_0) = v0 & $i(v1) & $i(v0) & ~
% 291.71/57.62 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1))
% 291.71/57.62 |
% 291.71/57.62 | GROUND_INST: instantiating (814) with all_635_0, tc_RealDef_Oreal, all_1143_0,
% 291.71/57.62 | all_1581_1, simplifying with (291), (299), (656), (2630), (2643)
% 291.71/57.62 | gives:
% 291.71/57.62 | (3599) ? [v0: $i] : ? [v1: $i] :
% 291.71/57.62 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.62 | hAPP(all_1581_1, all_1299_0) = v1 & $i(v1) & $i(v0) &
% 291.71/57.62 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1))
% 291.71/57.62 |
% 291.71/57.62 | GROUND_INST: instantiating (983) with all_635_0, tc_RealDef_Oreal, all_1143_0,
% 291.71/57.62 | all_1581_1, simplifying with (291), (299), (656), (2630), (2643)
% 291.71/57.62 | gives:
% 291.71/57.62 | (3600) ? [v0: $i] : ? [v1: $i] :
% 291.71/57.62 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ( ~
% 291.71/57.62 | (v0 = all_635_0) | (hAPP(all_1581_1, all_1449_0) = v1 & $i(v1) &
% 291.71/57.62 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_635_0,
% 291.71/57.62 | v1))) & (v0 = all_635_0 | (hAPP(all_1581_1, all_1449_0) = v1
% 291.71/57.62 | & $i(v1) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.62 | v1))))
% 291.71/57.62 |
% 291.71/57.62 | GROUND_INST: instantiating (968) with v_y____, tc_RealDef_Oreal, all_1143_0,
% 291.71/57.62 | all_1396_2, simplifying with (33), (284), (299), (656), (2634)
% 291.71/57.62 | gives:
% 291.71/57.62 | (3601) ? [v0: $i] : ? [v1: $i] :
% 291.71/57.62 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v1) & ( ~
% 291.71/57.62 | (v1 = v_y____) | (v0 = v_y____ & hAPP(all_1396_2, all_1434_0) =
% 291.71/57.62 | v_y____)) & (v1 = v_y____ | ( ~ (v1 = v0) & hAPP(all_1396_2,
% 291.71/57.62 | all_1434_0) = v0 & $i(v0))))
% 291.71/57.62 |
% 291.71/57.62 | GROUND_INST: instantiating (809) with v_y____, tc_RealDef_Oreal, all_1143_0,
% 291.71/57.62 | all_1396_2, simplifying with (33), (291), (299), (656), (2634)
% 291.71/57.62 | gives:
% 291.71/57.62 | (3602) ? [v0: $i] : ? [v1: $i] :
% 291.71/57.62 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 291.71/57.62 | hAPP(all_1396_2, all_1296_0) = v0 & $i(v1) & $i(v0) & ~
% 291.71/57.62 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1))
% 291.71/57.62 |
% 291.71/57.62 | GROUND_INST: instantiating (814) with v_y____, tc_RealDef_Oreal, all_1143_0,
% 291.71/57.62 | all_1396_2, simplifying with (33), (291), (299), (656), (2634)
% 291.71/57.62 | gives:
% 291.71/57.62 | (3603) ? [v0: $i] : ? [v1: $i] :
% 291.71/57.62 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.62 | hAPP(all_1396_2, all_1299_0) = v1 & $i(v1) & $i(v0) &
% 291.71/57.62 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1))
% 291.71/57.62 |
% 291.71/57.62 | GROUND_INST: instantiating (983) with v_y____, tc_RealDef_Oreal, all_1143_0,
% 291.71/57.62 | all_1396_2, simplifying with (33), (291), (299), (656), (2634)
% 291.71/57.62 | gives:
% 291.71/57.62 | (3604) ? [v0: $i] : ? [v1: $i] :
% 291.71/57.62 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ( ~
% 291.71/57.62 | (v0 = v_y____) | (hAPP(all_1396_2, all_1449_0) = v1 & $i(v1) &
% 291.71/57.62 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_y____,
% 291.71/57.62 | v1))) & (v0 = v_y____ | (hAPP(all_1396_2, all_1449_0) = v1 &
% 291.71/57.62 | $i(v1) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.62 | v1))))
% 291.71/57.62 |
% 291.71/57.62 | GROUND_INST: instantiating (968) with v_x____, tc_RealDef_Oreal, all_1143_0,
% 291.71/57.62 | all_1396_7, simplifying with (284), (299), (300), (656), (2635)
% 291.71/57.62 | gives:
% 291.71/57.62 | (3605) ? [v0: $i] : ? [v1: $i] :
% 291.71/57.62 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v1) & ( ~
% 291.71/57.62 | (v1 = v_x____) | (v0 = v_x____ & hAPP(all_1396_7, all_1434_0) =
% 291.71/57.62 | v_x____)) & (v1 = v_x____ | ( ~ (v1 = v0) & hAPP(all_1396_7,
% 291.71/57.62 | all_1434_0) = v0 & $i(v0))))
% 291.71/57.62 |
% 291.71/57.62 | GROUND_INST: instantiating (809) with v_x____, tc_RealDef_Oreal, all_1143_0,
% 291.71/57.62 | all_1396_7, simplifying with (291), (299), (300), (656), (2635)
% 291.71/57.62 | gives:
% 291.71/57.62 | (3606) ? [v0: $i] : ? [v1: $i] :
% 291.71/57.62 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 &
% 291.71/57.62 | hAPP(all_1396_7, all_1296_0) = v0 & $i(v1) & $i(v0) & ~
% 291.71/57.62 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v1))
% 291.71/57.62 |
% 291.71/57.62 | GROUND_INST: instantiating (814) with v_x____, tc_RealDef_Oreal, all_1143_0,
% 291.71/57.62 | all_1396_7, simplifying with (291), (299), (300), (656), (2635)
% 291.71/57.62 | gives:
% 291.71/57.62 | (3607) ? [v0: $i] : ? [v1: $i] :
% 291.71/57.62 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.62 | hAPP(all_1396_7, all_1299_0) = v1 & $i(v1) & $i(v0) &
% 291.71/57.62 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1))
% 291.71/57.62 |
% 291.71/57.62 | GROUND_INST: instantiating (983) with v_x____, tc_RealDef_Oreal, all_1143_0,
% 291.71/57.62 | all_1396_7, simplifying with (291), (299), (300), (656), (2635)
% 291.71/57.62 | gives:
% 291.71/57.62 | (3608) ? [v0: $i] : ? [v1: $i] :
% 291.71/57.62 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ( ~
% 291.71/57.62 | (v0 = v_x____) | (hAPP(all_1396_7, all_1449_0) = v1 & $i(v1) &
% 291.71/57.62 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_x____,
% 291.71/57.62 | v1))) & (v0 = v_x____ | (hAPP(all_1396_7, all_1449_0) = v1 &
% 291.71/57.62 | $i(v1) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.62 | v1))))
% 291.71/57.62 |
% 291.71/57.62 | GROUND_INST: instantiating (1000) with all_916_0, all_635_0, tc_RealDef_Oreal,
% 291.71/57.62 | all_1143_0, all_1581_1, all_916_2, all_1581_0, simplifying with
% 291.71/57.62 | (290), (292), (294), (296), (299), (469), (656), (2630), (2643),
% 291.71/57.62 | (3144), (3420) gives:
% 291.71/57.63 | (3609) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.63 | $i(v0) & ( ~ (v0 = all_1581_0) | (all_1581_0 = all_635_0 & ~
% 291.71/57.63 | (all_1464_0 = all_916_2))) & ( ~ (v0 = all_635_0) | all_1581_0
% 291.71/57.63 | = all_635_0 | all_1464_0 = all_916_2))
% 291.71/57.63 |
% 291.71/57.63 | GROUND_INST: instantiating (1000) with all_916_0, all_1311_1,
% 291.71/57.63 | tc_RealDef_Oreal, all_1143_0, all_1581_5, all_916_2, all_1581_3,
% 291.71/57.63 | simplifying with (290), (292), (294), (296), (299), (469), (656),
% 291.71/57.63 | (3144), (3421), (3500), (3501) gives:
% 291.71/57.63 | (3610) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.63 | $i(v0) & ( ~ (v0 = all_1581_3) | (all_1581_3 = all_1311_1 & ~
% 291.71/57.63 | (all_1464_0 = all_916_2))) & ( ~ (v0 = all_1311_1) |
% 291.71/57.63 | all_1581_3 = all_1311_1 | all_1464_0 = all_916_2))
% 291.71/57.63 |
% 291.71/57.63 | GROUND_INST: instantiating (1000) with all_916_0, v_y____, tc_RealDef_Oreal,
% 291.71/57.63 | all_1143_0, all_1396_2, all_916_2, all_1396_1, simplifying with
% 291.71/57.63 | (33), (290), (292), (294), (296), (299), (469), (656), (2634),
% 291.71/57.63 | (3144), (3422) gives:
% 291.71/57.63 | (3611) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.63 | $i(v0) & ( ~ (v0 = all_1396_1) | (all_1396_1 = v_y____ & ~
% 291.71/57.63 | (all_1464_0 = all_916_2))) & ( ~ (v0 = v_y____) | all_1464_0 =
% 291.71/57.63 | all_916_2 | all_1396_1 = v_y____))
% 291.71/57.63 |
% 291.71/57.63 | GROUND_INST: instantiating (1000) with all_916_0, v_x____, tc_RealDef_Oreal,
% 291.71/57.63 | all_1143_0, all_1396_7, all_916_2, all_1396_3, simplifying with
% 291.71/57.63 | (290), (292), (294), (296), (299), (300), (469), (656), (2635),
% 291.71/57.63 | (3144), (3423) gives:
% 291.71/57.63 | (3612) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.63 | $i(v0) & ( ~ (v0 = all_1396_3) | (all_1396_3 = v_x____ & ~
% 291.71/57.63 | (all_1464_0 = all_916_2))) & ( ~ (v0 = v_x____) | all_1464_0 =
% 291.71/57.63 | all_916_2 | all_1396_3 = v_x____))
% 291.71/57.63 |
% 291.71/57.63 | GROUND_INST: instantiating (fact_zero__le__power__abs) with all_916_2,
% 291.71/57.63 | all_1228_0, tc_RealDef_Oreal, all_1143_0, all_1311_1, all_1581_5,
% 291.71/57.63 | all_1581_3, simplifying with (291), (299), (656), (3421), (3437),
% 291.71/57.63 | (3495), (3498), (3500) gives:
% 291.71/57.63 | (3613) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.63 | $i(v0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_1581_3))
% 291.71/57.63 |
% 291.71/57.63 | GROUND_INST: instantiating (fact_add__pos__pos) with all_1396_1, all_1396_3,
% 291.71/57.63 | tc_RealDef_Oreal, all_635_0, simplifying with (283), (299),
% 291.71/57.63 | (908), (909), (2532) gives:
% 291.71/57.63 | (3614) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.63 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_1396_1) | ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_1396_3)
% 291.71/57.63 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_635_0)))
% 291.71/57.63 |
% 291.71/57.63 | GROUND_INST: instantiating (fact_add__pos__nonneg) with all_1396_1,
% 291.71/57.63 | all_1396_3, tc_RealDef_Oreal, all_635_0, simplifying with (283),
% 291.71/57.63 | (299), (908), (909), (2532) gives:
% 291.71/57.63 | (3615) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.63 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_1396_3) | ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_1396_1) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.63 | v0, all_635_0)))
% 291.71/57.63 |
% 291.71/57.63 | GROUND_INST: instantiating (fact_add__nonneg__pos) with all_1396_1,
% 291.71/57.63 | all_1396_3, tc_RealDef_Oreal, all_635_0, simplifying with (283),
% 291.71/57.63 | (299), (908), (909), (2532) gives:
% 291.71/57.63 | (3616) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.63 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_1396_1) | ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_1396_3) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.63 | v0, all_635_0)))
% 291.71/57.63 |
% 291.71/57.63 | GROUND_INST: instantiating (fact_add__neg__neg) with all_1396_1, all_1396_3,
% 291.71/57.63 | tc_RealDef_Oreal, all_635_0, simplifying with (283), (299),
% 291.71/57.63 | (908), (909), (2532) gives:
% 291.71/57.63 | (3617) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.63 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.63 | all_1396_1, v0) | ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1396_3, v0)
% 291.71/57.63 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_635_0,
% 291.71/57.63 | v0)))
% 291.71/57.63 |
% 291.71/57.63 | GROUND_INST: instantiating (fact_add__neg__nonpos) with all_1396_1,
% 291.71/57.63 | all_1396_3, tc_RealDef_Oreal, all_635_0, simplifying with (283),
% 291.71/57.63 | (299), (908), (909), (2532) gives:
% 291.71/57.63 | (3618) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.63 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.63 | all_1396_3, v0) | ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1396_1,
% 291.71/57.63 | v0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.63 | all_635_0, v0)))
% 291.71/57.63 |
% 291.71/57.63 | GROUND_INST: instantiating (fact_add__nonpos__neg) with all_1396_1,
% 291.71/57.63 | all_1396_3, tc_RealDef_Oreal, all_635_0, simplifying with (283),
% 291.71/57.63 | (299), (908), (909), (2532) gives:
% 291.71/57.63 | (3619) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.63 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.63 | all_1396_1, v0) | ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1396_3,
% 291.71/57.63 | v0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.63 | all_635_0, v0)))
% 291.71/57.63 |
% 291.71/57.63 | GROUND_INST: instantiating (fact_add__nonneg__nonneg) with all_1396_1,
% 291.71/57.63 | all_1396_3, tc_RealDef_Oreal, all_635_0, simplifying with (283),
% 291.71/57.63 | (299), (908), (909), (2532) gives:
% 291.71/57.63 | (3620) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.63 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.63 | v0, all_1396_1) | ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_1396_3) |
% 291.71/57.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_635_0)))
% 291.71/57.63 |
% 291.71/57.63 | GROUND_INST: instantiating (fact_add__nonneg__eq__0__iff) with all_1396_1,
% 291.71/57.63 | all_1396_3, tc_RealDef_Oreal, all_635_0, simplifying with (283),
% 291.71/57.63 | (299), (908), (909), (2532) gives:
% 291.71/57.63 | (3621) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.63 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.63 | v0, all_1396_1) | ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_1396_3) | (( ~ (v0 = all_1396_3) | ~ (all_1396_1 =
% 291.71/57.63 | all_1396_3) | all_1396_3 = all_635_0) & ( ~ (v0 =
% 291.71/57.63 | all_635_0) | (all_1396_1 = all_635_0 & all_1396_3 =
% 291.71/57.63 | all_635_0)))))
% 291.71/57.63 |
% 291.71/57.63 | GROUND_INST: instantiating (fact_add__nonpos__nonpos) with all_1396_1,
% 291.71/57.63 | all_1396_3, tc_RealDef_Oreal, all_635_0, simplifying with (283),
% 291.71/57.63 | (299), (908), (909), (2532) gives:
% 291.71/57.63 | (3622) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.63 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.63 | all_1396_1, v0) | ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1396_3,
% 291.71/57.63 | v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.63 | all_635_0, v0)))
% 291.71/57.63 |
% 291.71/57.63 | GROUND_INST: instantiating (162) with v_z, tc_Complex_Ocomplex, all_635_0,
% 291.71/57.63 | simplifying with (60), (297), (298), (2531) gives:
% 291.71/57.63 | (3623) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_635_0) = all_635_0 &
% 291.71/57.63 | $i(all_635_0)
% 291.71/57.63 |
% 291.71/57.63 | GROUND_INST: instantiating (fact_divide__pos__pos) with all_1601_5,
% 291.71/57.63 | c_Transcendental_Opi, tc_RealDef_Oreal, all_1631_18, simplifying
% 291.71/57.63 | with (262), (289), (299), (3473), (3481) gives:
% 291.71/57.63 | (3624) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.63 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_1601_5) | ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.63 | c_Transcendental_Opi) |
% 291.71/57.63 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_1631_18)))
% 291.71/57.63 |
% 291.71/57.63 | GROUND_INST: instantiating (fact_divide__pos__neg) with all_1601_5,
% 291.71/57.63 | c_Transcendental_Opi, tc_RealDef_Oreal, all_1631_18, simplifying
% 291.71/57.63 | with (262), (289), (299), (3473), (3481) gives:
% 291.71/57.63 | (3625) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.63 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.63 | c_Transcendental_Opi) | ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1601_5, v0)
% 291.71/57.63 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1631_18,
% 291.71/57.63 | v0)))
% 291.71/57.63 |
% 291.71/57.63 | GROUND_INST: instantiating (fact_divide__nonneg__pos) with all_1601_5,
% 291.71/57.63 | c_Transcendental_Opi, tc_RealDef_Oreal, all_1631_18, simplifying
% 291.71/57.63 | with (262), (289), (299), (3473), (3481) gives:
% 291.71/57.63 | (3626) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.63 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_1601_5) | ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.63 | c_Transcendental_Opi) |
% 291.71/57.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_1631_18)))
% 291.71/57.63 |
% 291.71/57.63 | GROUND_INST: instantiating (fact_divide__nonpos__pos) with all_1601_5,
% 291.71/57.63 | c_Transcendental_Opi, tc_RealDef_Oreal, all_1631_18, simplifying
% 291.71/57.63 | with (262), (289), (299), (3473), (3481) gives:
% 291.71/57.63 | (3627) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.63 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_1601_5) | ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.63 | c_Transcendental_Opi, v0) |
% 291.71/57.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1631_18,
% 291.71/57.63 | v0)))
% 291.71/57.63 |
% 291.71/57.63 | GROUND_INST: instantiating (fact_divide__nonneg__neg) with all_1601_5,
% 291.71/57.63 | c_Transcendental_Opi, tc_RealDef_Oreal, all_1631_18, simplifying
% 291.71/57.63 | with (262), (289), (299), (3473), (3481) gives:
% 291.71/57.63 | (3628) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.63 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.63 | all_1601_5, v0) | ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.63 | c_Transcendental_Opi) |
% 291.71/57.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1631_18,
% 291.71/57.63 | v0)))
% 291.71/57.63 |
% 291.71/57.63 | GROUND_INST: instantiating (fact_divide__nonpos__neg) with all_1601_5,
% 291.71/57.63 | c_Transcendental_Opi, tc_RealDef_Oreal, all_1631_18, simplifying
% 291.71/57.63 | with (262), (289), (299), (3473), (3481) gives:
% 291.71/57.63 | (3629) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.63 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.63 | all_1601_5, v0) | ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.63 | c_Transcendental_Opi, v0) |
% 291.71/57.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_1631_18)))
% 291.71/57.63 |
% 291.71/57.63 | GROUND_INST: instantiating (fact_zero__less__divide__iff) with all_1601_5,
% 291.71/57.63 | c_Transcendental_Opi, tc_RealDef_Oreal, all_1631_18, simplifying
% 291.71/57.63 | with (262), (280), (299), (3473), (3481) gives:
% 291.71/57.63 | (3630) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.63 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_1631_18) |
% 291.71/57.63 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_1601_5)
% 291.71/57.63 | & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.63 | c_Transcendental_Opi)) |
% 291.71/57.63 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1601_5, v0)
% 291.71/57.63 | & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.63 | c_Transcendental_Opi, v0))) &
% 291.71/57.63 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_1631_18)
% 291.71/57.63 | | (( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_1601_5) | ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.63 | c_Transcendental_Opi)) & ( ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1601_5,
% 291.71/57.63 | v0) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.63 | c_Transcendental_Opi, v0)))))
% 291.71/57.63 |
% 291.71/57.63 | GROUND_INST: instantiating (fact_divide__less__0__iff) with all_1601_5,
% 291.71/57.63 | c_Transcendental_Opi, tc_RealDef_Oreal, all_1631_18, simplifying
% 291.71/57.63 | with (262), (280), (299), (3473), (3481) gives:
% 291.71/57.63 | (3631) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.63 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.63 | all_1631_18, v0) |
% 291.71/57.63 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_1601_5)
% 291.71/57.63 | & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.63 | c_Transcendental_Opi, v0)) |
% 291.71/57.63 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.63 | c_Transcendental_Opi) &
% 291.71/57.63 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1601_5,
% 291.71/57.63 | v0))) & (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.63 | all_1631_18, v0) | (( ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_1601_5) | ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.63 | c_Transcendental_Opi, v0)) & ( ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.63 | c_Transcendental_Opi) | ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1601_5,
% 291.71/57.63 | v0)))))
% 291.71/57.63 |
% 291.71/57.63 | GROUND_INST: instantiating (fact_zero__le__divide__iff) with all_1601_5,
% 291.71/57.63 | c_Transcendental_Opi, tc_RealDef_Oreal, all_1631_18, simplifying
% 291.71/57.63 | with (262), (280), (299), (3473), (3481) gives:
% 291.71/57.63 | (3632) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.63 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.63 | v0, all_1631_18) |
% 291.71/57.63 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_1601_5) &
% 291.71/57.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.63 | c_Transcendental_Opi)) |
% 291.71/57.63 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1601_5,
% 291.71/57.63 | v0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.63 | c_Transcendental_Opi, v0))) &
% 291.71/57.63 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_1631_18) | (( ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_1601_5) | ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.63 | c_Transcendental_Opi)) & ( ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.63 | all_1601_5, v0) | ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.63 | c_Transcendental_Opi, v0)))))
% 291.71/57.63 |
% 291.71/57.63 | GROUND_INST: instantiating (fact_divide__le__0__iff) with all_1601_5,
% 291.71/57.63 | c_Transcendental_Opi, tc_RealDef_Oreal, all_1631_18, simplifying
% 291.71/57.63 | with (262), (280), (299), (3473), (3481) gives:
% 291.71/57.63 | (3633) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.63 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.63 | all_1631_18, v0) |
% 291.71/57.63 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_1601_5) &
% 291.71/57.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.63 | c_Transcendental_Opi, v0)) |
% 291.71/57.63 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.63 | c_Transcendental_Opi) &
% 291.71/57.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.63 | all_1601_5, v0))) &
% 291.71/57.63 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1631_18,
% 291.71/57.63 | v0) | (( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.63 | v0, all_1601_5) | ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.63 | c_Transcendental_Opi, v0)) & ( ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.63 | c_Transcendental_Opi) | ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.63 | all_1601_5, v0)))))
% 291.71/57.63 |
% 291.71/57.63 | GROUND_INST: instantiating (fact_divide__pos__pos) with all_1631_13,
% 291.71/57.63 | all_635_0, tc_RealDef_Oreal, all_1631_12, simplifying with (289),
% 291.71/57.63 | (299), (1216), (2515), (2643) gives:
% 291.71/57.63 | (3634) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.63 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_1631_13) | ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_635_0) |
% 291.71/57.63 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_1631_12)))
% 291.71/57.63 |
% 291.71/57.63 | GROUND_INST: instantiating (fact_divide__pos__neg) with all_1631_13,
% 291.71/57.63 | all_635_0, tc_RealDef_Oreal, all_1631_12, simplifying with (289),
% 291.71/57.63 | (299), (1216), (2515), (2643) gives:
% 291.71/57.63 | (3635) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.63 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_635_0) | ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1631_13, v0)
% 291.71/57.63 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1631_12,
% 291.71/57.63 | v0)))
% 291.71/57.63 |
% 291.71/57.63 | GROUND_INST: instantiating (fact_divide__neg__pos) with all_1631_13,
% 291.71/57.63 | all_635_0, tc_RealDef_Oreal, all_1631_12, simplifying with (289),
% 291.71/57.63 | (299), (1216), (2515), (2643) gives:
% 291.71/57.63 | (3636) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.63 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_1631_13) | ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_635_0, v0) |
% 291.71/57.63 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1631_12,
% 291.71/57.63 | v0)))
% 291.71/57.63 |
% 291.71/57.63 | GROUND_INST: instantiating (fact_divide__nonneg__pos) with all_1631_13,
% 291.71/57.63 | all_635_0, tc_RealDef_Oreal, all_1631_12, simplifying with (289),
% 291.71/57.63 | (299), (1216), (2515), (2643) gives:
% 291.71/57.63 | (3637) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.63 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_1631_13) | ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_635_0) |
% 291.71/57.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_1631_12)))
% 291.71/57.63 |
% 291.71/57.63 | GROUND_INST: instantiating (fact_divide__nonpos__pos) with all_1631_13,
% 291.71/57.63 | all_635_0, tc_RealDef_Oreal, all_1631_12, simplifying with (289),
% 291.71/57.63 | (299), (1216), (2515), (2643) gives:
% 291.71/57.63 | (3638) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.63 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_1631_13) | ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_635_0,
% 291.71/57.63 | v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.63 | all_1631_12, v0)))
% 291.71/57.63 |
% 291.71/57.63 | GROUND_INST: instantiating (fact_divide__neg__neg) with all_1631_13,
% 291.71/57.63 | all_635_0, tc_RealDef_Oreal, all_1631_12, simplifying with (289),
% 291.71/57.63 | (299), (1216), (2515), (2643) gives:
% 291.71/57.63 | (3639) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.63 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.63 | all_1631_13, v0) | ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_635_0, v0) |
% 291.71/57.63 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_1631_12)))
% 291.71/57.63 |
% 291.71/57.63 | GROUND_INST: instantiating (fact_divide__nonneg__neg) with all_1631_13,
% 291.71/57.63 | all_635_0, tc_RealDef_Oreal, all_1631_12, simplifying with (289),
% 291.71/57.63 | (299), (1216), (2515), (2643) gives:
% 291.71/57.63 | (3640) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.63 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.63 | all_1631_13, v0) | ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_635_0) |
% 291.71/57.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1631_12,
% 291.71/57.63 | v0)))
% 291.71/57.63 |
% 291.71/57.63 | GROUND_INST: instantiating (fact_divide__nonpos__neg) with all_1631_13,
% 291.71/57.63 | all_635_0, tc_RealDef_Oreal, all_1631_12, simplifying with (289),
% 291.71/57.63 | (299), (1216), (2515), (2643) gives:
% 291.71/57.63 | (3641) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.63 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.63 | all_1631_13, v0) | ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_635_0,
% 291.71/57.63 | v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_1631_12)))
% 291.71/57.63 |
% 291.71/57.63 | GROUND_INST: instantiating (fact_zero__less__divide__iff) with all_1631_13,
% 291.71/57.63 | all_635_0, tc_RealDef_Oreal, all_1631_12, simplifying with (280),
% 291.71/57.63 | (299), (1216), (2515), (2643) gives:
% 291.71/57.63 | (3642) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.63 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_1631_12) |
% 291.71/57.63 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_1631_13) &
% 291.71/57.63 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_635_0)) |
% 291.71/57.63 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1631_13,
% 291.71/57.63 | v0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.63 | all_635_0, v0))) &
% 291.71/57.63 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_1631_12)
% 291.71/57.63 | | (( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_1631_13) | ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_635_0)) & ( ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1631_13,
% 291.71/57.63 | v0) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.63 | all_635_0, v0)))))
% 291.71/57.63 |
% 291.71/57.63 | GROUND_INST: instantiating (fact_divide__less__0__iff) with all_1631_13,
% 291.71/57.63 | all_635_0, tc_RealDef_Oreal, all_1631_12, simplifying with (280),
% 291.71/57.63 | (299), (1216), (2515), (2643) gives:
% 291.71/57.63 | (3643) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.63 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.63 | all_1631_12, v0) |
% 291.71/57.63 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_1631_13) &
% 291.71/57.63 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_635_0,
% 291.71/57.63 | v0)) | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_635_0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.63 | all_1631_13, v0))) &
% 291.71/57.63 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1631_12, v0)
% 291.71/57.63 | | (( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_1631_13) | ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_635_0,
% 291.71/57.63 | v0)) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.63 | v0, all_635_0) | ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1631_13,
% 291.71/57.63 | v0)))))
% 291.71/57.63 |
% 291.71/57.63 | GROUND_INST: instantiating (fact_zero__le__divide__iff) with all_1631_13,
% 291.71/57.63 | all_635_0, tc_RealDef_Oreal, all_1631_12, simplifying with (280),
% 291.71/57.63 | (299), (1216), (2515), (2643) gives:
% 291.71/57.63 | (3644) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.63 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.63 | v0, all_1631_12) |
% 291.71/57.63 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_1631_13) &
% 291.71/57.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_635_0)) |
% 291.71/57.63 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.63 | all_1631_13, v0) &
% 291.71/57.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_635_0,
% 291.71/57.63 | v0))) & (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.63 | v0, all_1631_12) | (( ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_1631_13) | ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_635_0)) & ( ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.63 | all_1631_13, v0) | ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.63 | all_635_0, v0)))))
% 291.71/57.63 |
% 291.71/57.63 | GROUND_INST: instantiating (fact_divide__le__0__iff) with all_1631_13,
% 291.71/57.63 | all_635_0, tc_RealDef_Oreal, all_1631_12, simplifying with (280),
% 291.71/57.63 | (299), (1216), (2515), (2643) gives:
% 291.71/57.63 | (3645) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.63 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.63 | all_1631_12, v0) |
% 291.71/57.63 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_1631_13) &
% 291.71/57.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_635_0,
% 291.71/57.63 | v0)) | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.63 | v0, all_635_0) &
% 291.71/57.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.63 | all_1631_13, v0))) &
% 291.71/57.63 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1631_12,
% 291.71/57.63 | v0) | (( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.63 | v0, all_1631_13) | ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.63 | all_635_0, v0)) & ( ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_635_0) | ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.63 | all_1631_13, v0)))))
% 291.71/57.63 |
% 291.71/57.63 | GROUND_INST: instantiating (fact_divide__pos__pos) with all_1631_2, all_635_0,
% 291.71/57.63 | tc_RealDef_Oreal, all_1631_1, simplifying with (289), (299),
% 291.71/57.63 | (1218), (2514), (2643) gives:
% 291.71/57.63 | (3646) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.63 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_1631_2) | ~
% 291.71/57.63 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_635_0) |
% 291.71/57.63 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.63 | all_1631_1)))
% 291.71/57.63 |
% 291.71/57.63 | GROUND_INST: instantiating (fact_divide__pos__neg) with all_1631_2, all_635_0,
% 291.71/57.63 | tc_RealDef_Oreal, all_1631_1, simplifying with (289), (299),
% 291.71/57.63 | (1218), (2514), (2643) gives:
% 291.71/57.64 | (3647) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.64 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.64 | all_635_0) | ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1631_2, v0)
% 291.71/57.64 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1631_1,
% 291.71/57.64 | v0)))
% 291.71/57.64 |
% 291.71/57.64 | GROUND_INST: instantiating (fact_divide__neg__pos) with all_1631_2, all_635_0,
% 291.71/57.64 | tc_RealDef_Oreal, all_1631_1, simplifying with (289), (299),
% 291.71/57.64 | (1218), (2514), (2643) gives:
% 291.71/57.64 | (3648) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.64 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.64 | all_1631_2) | ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_635_0, v0) |
% 291.71/57.64 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1631_1,
% 291.71/57.64 | v0)))
% 291.71/57.64 |
% 291.71/57.64 | GROUND_INST: instantiating (fact_divide__nonneg__pos) with all_1631_2,
% 291.71/57.64 | all_635_0, tc_RealDef_Oreal, all_1631_1, simplifying with (289),
% 291.71/57.64 | (299), (1218), (2514), (2643) gives:
% 291.71/57.64 | (3649) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.64 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.64 | all_1631_2) | ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.64 | all_635_0) |
% 291.71/57.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.64 | all_1631_1)))
% 291.71/57.64 |
% 291.71/57.64 | GROUND_INST: instantiating (fact_divide__nonpos__pos) with all_1631_2,
% 291.71/57.64 | all_635_0, tc_RealDef_Oreal, all_1631_1, simplifying with (289),
% 291.71/57.64 | (299), (1218), (2514), (2643) gives:
% 291.71/57.64 | (3650) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.64 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.64 | all_1631_2) | ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_635_0,
% 291.71/57.64 | v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.64 | all_1631_1, v0)))
% 291.71/57.64 |
% 291.71/57.64 | GROUND_INST: instantiating (fact_divide__neg__neg) with all_1631_2, all_635_0,
% 291.71/57.64 | tc_RealDef_Oreal, all_1631_1, simplifying with (289), (299),
% 291.71/57.64 | (1218), (2514), (2643) gives:
% 291.71/57.64 | (3651) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.64 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.64 | all_1631_2, v0) | ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_635_0, v0) |
% 291.71/57.64 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.64 | all_1631_1)))
% 291.71/57.64 |
% 291.71/57.64 | GROUND_INST: instantiating (fact_divide__nonneg__neg) with all_1631_2,
% 291.71/57.64 | all_635_0, tc_RealDef_Oreal, all_1631_1, simplifying with (289),
% 291.71/57.64 | (299), (1218), (2514), (2643) gives:
% 291.71/57.64 | (3652) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.64 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.64 | all_1631_2, v0) | ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.64 | all_635_0) |
% 291.71/57.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1631_1,
% 291.71/57.64 | v0)))
% 291.71/57.64 |
% 291.71/57.64 | GROUND_INST: instantiating (fact_divide__nonpos__neg) with all_1631_2,
% 291.71/57.64 | all_635_0, tc_RealDef_Oreal, all_1631_1, simplifying with (289),
% 291.71/57.64 | (299), (1218), (2514), (2643) gives:
% 291.71/57.64 | (3653) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.64 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.64 | all_1631_2, v0) | ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_635_0,
% 291.71/57.64 | v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.64 | all_1631_1)))
% 291.71/57.64 |
% 291.71/57.64 | GROUND_INST: instantiating (fact_zero__less__divide__iff) with all_1631_2,
% 291.71/57.64 | all_635_0, tc_RealDef_Oreal, all_1631_1, simplifying with (280),
% 291.71/57.64 | (299), (1218), (2514), (2643) gives:
% 291.71/57.64 | (3654) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.64 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.64 | all_1631_1) | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.64 | v0, all_1631_2) &
% 291.71/57.64 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.64 | all_635_0)) |
% 291.71/57.64 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1631_2, v0)
% 291.71/57.64 | & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_635_0,
% 291.71/57.64 | v0))) & (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.64 | all_1631_1) | (( ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.64 | all_1631_2) | ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.64 | all_635_0)) & ( ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1631_2,
% 291.71/57.64 | v0) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.64 | all_635_0, v0)))))
% 291.71/57.64 |
% 291.71/57.64 | GROUND_INST: instantiating (fact_divide__less__0__iff) with all_1631_2,
% 291.71/57.64 | all_635_0, tc_RealDef_Oreal, all_1631_1, simplifying with (280),
% 291.71/57.64 | (299), (1218), (2514), (2643) gives:
% 291.71/57.64 | (3655) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.64 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.64 | all_1631_1, v0) |
% 291.71/57.64 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_1631_2)
% 291.71/57.64 | & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_635_0,
% 291.71/57.64 | v0)) | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.64 | all_635_0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.64 | all_1631_2, v0))) &
% 291.71/57.64 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1631_1, v0) |
% 291.71/57.64 | (( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 291.71/57.64 | all_1631_2) | ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_635_0,
% 291.71/57.64 | v0)) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.64 | v0, all_635_0) | ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1631_2,
% 291.71/57.64 | v0)))))
% 291.71/57.64 |
% 291.71/57.64 | GROUND_INST: instantiating (fact_zero__le__divide__iff) with all_1631_2,
% 291.71/57.64 | all_635_0, tc_RealDef_Oreal, all_1631_1, simplifying with (280),
% 291.71/57.64 | (299), (1218), (2514), (2643) gives:
% 291.71/57.64 | (3656) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.64 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.64 | v0, all_1631_1) |
% 291.71/57.64 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.64 | all_1631_2) &
% 291.71/57.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.64 | all_635_0)) |
% 291.71/57.64 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1631_2,
% 291.71/57.64 | v0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.64 | all_635_0, v0))) &
% 291.71/57.64 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.64 | all_1631_1) | (( ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.64 | all_1631_2) | ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.64 | all_635_0)) & ( ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.64 | all_1631_2, v0) | ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.64 | all_635_0, v0)))))
% 291.71/57.64 |
% 291.71/57.64 | GROUND_INST: instantiating (fact_divide__le__0__iff) with all_1631_2,
% 291.71/57.64 | all_635_0, tc_RealDef_Oreal, all_1631_1, simplifying with (280),
% 291.71/57.64 | (299), (1218), (2514), (2643) gives:
% 291.71/57.64 | (3657) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 291.71/57.64 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.64 | all_1631_1, v0) |
% 291.71/57.64 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.64 | all_1631_2) &
% 291.71/57.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_635_0,
% 291.71/57.64 | v0)) | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.64 | v0, all_635_0) &
% 291.71/57.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.64 | all_1631_2, v0))) &
% 291.71/57.64 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1631_1,
% 291.71/57.64 | v0) | (( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.64 | v0, all_1631_2) | ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.64 | all_635_0, v0)) & ( ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 291.71/57.64 | all_635_0) | ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.64 | all_1631_2, v0)))))
% 291.71/57.64 |
% 291.71/57.64 | DELTA: instantiating (3508) with fresh symbol all_1687_0 gives:
% 291.71/57.64 | (3658) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1687_0 &
% 291.71/57.64 | $i(all_1687_0) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.64 | all_1311_1, all_1687_0)
% 291.71/57.64 |
% 291.71/57.64 | ALPHA: (3658) implies:
% 291.71/57.64 | (3659) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1687_0
% 291.71/57.64 |
% 291.71/57.64 | DELTA: instantiating (3613) with fresh symbol all_1689_0 gives:
% 291.71/57.64 | (3660) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1689_0 &
% 291.71/57.64 | $i(all_1689_0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.64 | all_1689_0, all_1581_3)
% 291.71/57.64 |
% 291.71/57.64 | ALPHA: (3660) implies:
% 291.71/57.64 | (3661) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1689_0
% 291.71/57.64 |
% 291.71/57.64 | DELTA: instantiating (3506) with fresh symbol all_1697_0 gives:
% 291.71/57.64 | (3662) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1697_0 &
% 291.71/57.64 | $i(all_1697_0) & ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_635_0,
% 291.71/57.64 | all_1697_0)
% 291.71/57.64 |
% 291.71/57.64 | ALPHA: (3662) implies:
% 291.71/57.64 | (3663) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1697_0
% 291.71/57.64 |
% 291.71/57.64 | DELTA: instantiating (3503) with fresh symbol all_1701_0 gives:
% 291.71/57.64 | (3664) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1701_0 &
% 291.71/57.64 | $i(all_1701_0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.64 | all_1701_0, all_635_0)
% 291.71/57.64 |
% 291.71/57.64 | ALPHA: (3664) implies:
% 291.71/57.64 | (3665) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1701_0
% 291.71/57.64 |
% 291.71/57.64 | DELTA: instantiating (3505) with fresh symbol all_1703_0 gives:
% 291.71/57.64 | (3666) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1703_0 &
% 291.71/57.64 | $i(all_1703_0) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.64 | all_635_0, all_1703_0)
% 291.71/57.64 |
% 291.71/57.64 | ALPHA: (3666) implies:
% 291.71/57.64 | (3667) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1703_0
% 291.71/57.64 |
% 291.71/57.64 | DELTA: instantiating (3504) with fresh symbol all_1705_0 gives:
% 291.71/57.64 | (3668) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1705_0 &
% 291.71/57.64 | $i(all_1705_0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.64 | all_1705_0, all_635_0)
% 291.71/57.64 |
% 291.71/57.64 | ALPHA: (3668) implies:
% 291.71/57.64 | (3669) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1705_0
% 291.71/57.64 |
% 291.71/57.64 | DELTA: instantiating (3507) with fresh symbol all_1711_0 gives:
% 291.71/57.64 | (3670) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1711_0 &
% 291.71/57.64 | $i(all_1711_0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.64 | all_1711_0, all_1311_1)
% 291.71/57.64 |
% 291.71/57.64 | ALPHA: (3670) implies:
% 291.71/57.64 | (3671) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1711_0,
% 291.71/57.64 | all_1311_1)
% 291.71/57.64 | (3672) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1711_0
% 291.71/57.64 |
% 291.71/57.64 | DELTA: instantiating (3513) with fresh symbol all_1735_0 gives:
% 291.71/57.64 | (3673) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1735_0 &
% 291.71/57.64 | $i(all_1735_0) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.64 | all_1328_1, all_1735_0)
% 291.71/57.64 |
% 291.71/57.64 | ALPHA: (3673) implies:
% 291.71/57.64 | (3674) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1735_0
% 291.71/57.64 |
% 291.71/57.64 | DELTA: instantiating (3512) with fresh symbol all_1737_0 gives:
% 291.71/57.64 | (3675) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1737_0 &
% 291.71/57.64 | $i(all_1737_0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.64 | all_1737_0, all_1328_1)
% 291.71/57.64 |
% 291.71/57.64 | ALPHA: (3675) implies:
% 291.71/57.64 | (3676) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1737_0
% 291.71/57.64 |
% 291.71/57.64 | DELTA: instantiating (3572) with fresh symbol all_1739_0 gives:
% 291.71/57.64 | (3677) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1739_0 &
% 291.71/57.64 | $i(all_1739_0) & ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1739_0,
% 291.71/57.64 | all_1311_1)
% 291.71/57.64 |
% 291.71/57.64 | ALPHA: (3677) implies:
% 291.71/57.64 | (3678) ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1739_0,
% 291.71/57.64 | all_1311_1)
% 291.71/57.64 | (3679) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1739_0
% 291.71/57.64 |
% 291.71/57.64 | DELTA: instantiating (3588) with fresh symbol all_1755_0 gives:
% 291.71/57.64 | (3680) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1755_0 &
% 291.71/57.64 | $i(all_1755_0) & ( ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1755_0,
% 291.71/57.64 | v_x____) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.64 | all_1755_0, all_1396_3))
% 291.71/57.64 |
% 291.71/57.64 | ALPHA: (3680) implies:
% 291.71/57.64 | (3681) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1755_0
% 291.71/57.64 |
% 291.71/57.64 | DELTA: instantiating (3585) with fresh symbol all_1757_0 gives:
% 291.71/57.64 | (3682) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1757_0 &
% 291.71/57.64 | $i(all_1757_0) & ( ~ (all_1757_0 = all_1396_3) | all_1396_3 =
% 291.71/57.64 | v_x____)
% 291.71/57.64 |
% 291.71/57.64 | ALPHA: (3682) implies:
% 291.71/57.64 | (3683) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1757_0
% 291.71/57.64 |
% 291.71/57.64 | DELTA: instantiating (3584) with fresh symbol all_1763_0 gives:
% 291.71/57.64 | (3684) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1763_0 &
% 291.71/57.64 | $i(all_1763_0) & ( ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1763_0,
% 291.71/57.64 | v_y____) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.64 | all_1763_0, all_1396_1))
% 291.71/57.64 |
% 291.71/57.64 | ALPHA: (3684) implies:
% 291.71/57.64 | (3685) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1763_0
% 291.71/57.64 |
% 291.71/57.64 | DELTA: instantiating (3581) with fresh symbol all_1765_0 gives:
% 291.71/57.64 | (3686) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1765_0 &
% 291.71/57.64 | $i(all_1765_0) & ( ~ (all_1765_0 = all_1396_1) | all_1396_1 =
% 291.71/57.64 | v_y____)
% 291.71/57.64 |
% 291.71/57.64 | ALPHA: (3686) implies:
% 291.71/57.64 | (3687) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1765_0
% 291.71/57.64 |
% 291.71/57.64 | DELTA: instantiating (3577) with fresh symbol all_1769_0 gives:
% 291.71/57.64 | (3688) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1769_0 &
% 291.71/57.64 | $i(all_1769_0) & ( ~ (all_1769_0 = all_1581_3) | all_1581_3 =
% 291.71/57.64 | all_1311_1)
% 291.71/57.64 |
% 291.71/57.64 | ALPHA: (3688) implies:
% 291.71/57.64 | (3689) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1769_0
% 291.71/57.64 |
% 291.71/57.64 | DELTA: instantiating (3576) with fresh symbol all_1773_0 gives:
% 291.71/57.64 | (3690) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1773_0 &
% 291.71/57.64 | $i(all_1773_0) & ( ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1773_0,
% 291.71/57.64 | all_635_0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.64 | all_1773_0, all_1581_0))
% 291.71/57.64 |
% 291.71/57.64 | ALPHA: (3690) implies:
% 291.71/57.64 | (3691) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1773_0
% 291.71/57.64 |
% 291.71/57.64 | DELTA: instantiating (3587) with fresh symbol all_1775_0 gives:
% 291.71/57.64 | (3692) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1775_0 &
% 291.71/57.64 | $i(all_1775_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.64 | all_1775_0, v_x____) |
% 291.71/57.64 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1775_0,
% 291.71/57.64 | all_1396_3))
% 291.71/57.64 |
% 291.71/57.64 | ALPHA: (3692) implies:
% 291.71/57.64 | (3693) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1775_0
% 291.71/57.64 |
% 291.71/57.64 | DELTA: instantiating (3573) with fresh symbol all_1779_0 gives:
% 291.71/57.64 | (3694) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1779_0 &
% 291.71/57.64 | $i(all_1779_0) & ( ~ (all_1779_0 = all_1581_0) | all_1581_0 =
% 291.71/57.64 | all_635_0)
% 291.71/57.64 |
% 291.71/57.64 | ALPHA: (3694) implies:
% 291.71/57.64 | (3695) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1779_0
% 291.71/57.64 |
% 291.71/57.64 | DELTA: instantiating (3580) with fresh symbol all_1781_0 gives:
% 291.71/57.64 | (3696) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1781_0 &
% 291.71/57.64 | $i(all_1781_0) & ( ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1781_0,
% 291.71/57.64 | all_1311_1) |
% 291.71/57.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1781_0,
% 291.71/57.64 | all_1581_3))
% 291.71/57.64 |
% 291.71/57.64 | ALPHA: (3696) implies:
% 291.71/57.64 | (3697) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1781_0
% 291.71/57.64 |
% 291.71/57.64 | DELTA: instantiating (3579) with fresh symbol all_1783_0 gives:
% 291.71/57.64 | (3698) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1783_0 &
% 291.71/57.64 | $i(all_1783_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.64 | all_1783_0, all_1311_1) |
% 291.71/57.64 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1783_0,
% 291.71/57.64 | all_1581_3))
% 291.71/57.64 |
% 291.71/57.64 | ALPHA: (3698) implies:
% 291.71/57.64 | (3699) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1783_0
% 291.71/57.64 |
% 291.71/57.64 | DELTA: instantiating (3583) with fresh symbol all_1789_0 gives:
% 291.71/57.64 | (3700) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1789_0 &
% 291.71/57.64 | $i(all_1789_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.64 | all_1789_0, v_y____) |
% 291.71/57.64 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1789_0,
% 291.71/57.64 | all_1396_1))
% 291.71/57.64 |
% 291.71/57.64 | ALPHA: (3700) implies:
% 291.71/57.64 | (3701) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1789_0
% 291.71/57.64 |
% 291.71/57.64 | DELTA: instantiating (3575) with fresh symbol all_1791_0 gives:
% 291.71/57.64 | (3702) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1791_0 &
% 291.71/57.64 | $i(all_1791_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.64 | all_1791_0, all_635_0) |
% 291.71/57.64 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1791_0,
% 291.71/57.64 | all_1581_0))
% 291.71/57.64 |
% 291.71/57.64 | ALPHA: (3702) implies:
% 291.71/57.64 | (3703) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1791_0
% 291.71/57.64 |
% 291.71/57.64 | DELTA: instantiating (3603) with fresh symbols all_1813_0, all_1813_1 gives:
% 291.71/57.64 | (3704) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1813_1 &
% 291.71/57.64 | hAPP(all_1396_2, all_1299_0) = all_1813_0 & $i(all_1813_0) &
% 291.71/57.64 | $i(all_1813_1) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.64 | all_1813_1, all_1813_0)
% 291.71/57.64 |
% 291.71/57.64 | ALPHA: (3704) implies:
% 291.71/57.64 | (3705) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1813_1
% 291.71/57.64 |
% 291.71/57.64 | DELTA: instantiating (3531) with fresh symbol all_1815_0 gives:
% 291.71/57.64 | (3706) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1815_0 &
% 291.71/57.64 | $i(all_1815_0) & ( ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1815_0,
% 291.71/57.64 | all_1601_5) | ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1631_11,
% 291.71/57.64 | all_1815_0) |
% 291.71/57.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1631_10,
% 291.71/57.64 | all_1815_0))
% 291.71/57.64 |
% 291.71/57.64 | ALPHA: (3706) implies:
% 291.71/57.64 | (3707) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1815_0
% 291.71/57.64 |
% 291.71/57.64 | DELTA: instantiating (3526) with fresh symbol all_1817_0 gives:
% 291.71/57.64 | (3708) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1817_0 &
% 291.71/57.64 | $i(all_1817_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.64 | all_1817_0, all_1631_10) | ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1817_0,
% 291.71/57.64 | all_1631_11) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.64 | all_1817_0, all_1601_5))
% 291.71/57.64 |
% 291.71/57.64 | ALPHA: (3708) implies:
% 291.71/57.64 | (3709) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1817_0
% 291.71/57.64 |
% 291.71/57.64 | DELTA: instantiating (3524) with fresh symbol all_1819_0 gives:
% 291.71/57.64 | (3710) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1819_0 &
% 291.71/57.64 | $i(all_1819_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.64 | all_1819_0, all_1631_11) | ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1601_5,
% 291.71/57.64 | all_1819_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.64 | all_1631_10, all_1819_0))
% 291.71/57.64 |
% 291.71/57.64 | ALPHA: (3710) implies:
% 291.71/57.64 | (3711) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1819_0
% 291.71/57.64 |
% 291.71/57.64 | DELTA: instantiating (3622) with fresh symbol all_1821_0 gives:
% 291.71/57.64 | (3712) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1821_0 &
% 291.71/57.64 | $i(all_1821_0) & ( ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1396_1,
% 291.71/57.64 | all_1821_0) | ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1396_3,
% 291.71/57.64 | all_1821_0) |
% 291.71/57.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_635_0,
% 291.71/57.64 | all_1821_0))
% 291.71/57.64 |
% 291.71/57.64 | ALPHA: (3712) implies:
% 291.71/57.64 | (3713) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1821_0
% 291.71/57.64 |
% 291.71/57.64 | DELTA: instantiating (3525) with fresh symbol all_1823_0 gives:
% 291.71/57.64 | (3714) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1823_0 &
% 291.71/57.64 | $i(all_1823_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.64 | all_1823_0, all_1631_10) | ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1823_0,
% 291.71/57.64 | all_1601_5) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.64 | all_1823_0, all_1631_11))
% 291.71/57.64 |
% 291.71/57.64 | ALPHA: (3714) implies:
% 291.71/57.64 | (3715) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1823_0
% 291.71/57.64 |
% 291.71/57.64 | DELTA: instantiating (3602) with fresh symbols all_1826_0, all_1826_1 gives:
% 291.71/57.64 | (3716) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1826_0 &
% 291.71/57.64 | hAPP(all_1396_2, all_1296_0) = all_1826_1 & $i(all_1826_0) &
% 291.71/57.64 | $i(all_1826_1) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.64 | all_1826_1, all_1826_0)
% 291.71/57.64 |
% 291.71/57.64 | ALPHA: (3716) implies:
% 291.71/57.64 | (3717) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1826_0
% 291.71/57.64 |
% 291.71/57.64 | DELTA: instantiating (3552) with fresh symbol all_1828_0 gives:
% 291.71/57.64 | (3718) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1828_0 &
% 291.71/57.64 | $i(all_1828_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.64 | all_957_0, all_1828_0) | ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_y____,
% 291.71/57.64 | all_1828_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.64 | all_1828_0, all_1244_1))
% 291.71/57.64 |
% 291.71/57.64 | ALPHA: (3718) implies:
% 291.71/57.64 | (3719) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1828_0
% 291.71/57.64 |
% 291.71/57.64 | DELTA: instantiating (3620) with fresh symbol all_1830_0 gives:
% 291.71/57.64 | (3720) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1830_0 &
% 291.71/57.64 | $i(all_1830_0) & ( ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1830_0,
% 291.71/57.64 | all_1396_1) | ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1830_0,
% 291.71/57.64 | all_1396_3) |
% 291.71/57.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1830_0,
% 291.71/57.64 | all_635_0))
% 291.71/57.64 |
% 291.71/57.64 | ALPHA: (3720) implies:
% 291.71/57.64 | (3721) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1830_0
% 291.71/57.64 |
% 291.71/57.64 | DELTA: instantiating (3619) with fresh symbol all_1832_0 gives:
% 291.71/57.64 | (3722) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1832_0 &
% 291.71/57.64 | $i(all_1832_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.64 | all_1396_1, all_1832_0) | ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1396_3,
% 291.71/57.64 | all_1832_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.64 | all_635_0, all_1832_0))
% 291.71/57.64 |
% 291.71/57.64 | ALPHA: (3722) implies:
% 291.71/57.64 | (3723) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1832_0
% 291.71/57.64 |
% 291.71/57.64 | DELTA: instantiating (3618) with fresh symbol all_1834_0 gives:
% 291.71/57.64 | (3724) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1834_0 &
% 291.71/57.64 | $i(all_1834_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.64 | all_1396_3, all_1834_0) | ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1396_1,
% 291.71/57.64 | all_1834_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.64 | all_635_0, all_1834_0))
% 291.71/57.64 |
% 291.71/57.64 | ALPHA: (3724) implies:
% 291.71/57.64 | (3725) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1834_0
% 291.71/57.64 |
% 291.71/57.64 | DELTA: instantiating (3617) with fresh symbol all_1836_0 gives:
% 291.71/57.64 | (3726) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1836_0 &
% 291.71/57.64 | $i(all_1836_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.64 | all_1396_1, all_1836_0) | ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1396_3,
% 291.71/57.64 | all_1836_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.64 | all_635_0, all_1836_0))
% 291.71/57.64 |
% 291.71/57.64 | ALPHA: (3726) implies:
% 291.71/57.64 | (3727) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1836_0
% 291.71/57.64 |
% 291.71/57.64 | DELTA: instantiating (3615) with fresh symbol all_1838_0 gives:
% 291.71/57.64 | (3728) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1838_0 &
% 291.71/57.64 | $i(all_1838_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.64 | all_1838_0, all_1396_3) | ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1838_0,
% 291.71/57.64 | all_1396_1) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.64 | all_1838_0, all_635_0))
% 291.71/57.64 |
% 291.71/57.64 | ALPHA: (3728) implies:
% 291.71/57.64 | (3729) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1838_0
% 291.71/57.64 |
% 291.71/57.64 | DELTA: instantiating (3653) with fresh symbol all_1840_0 gives:
% 291.71/57.64 | (3730) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1840_0 &
% 291.71/57.64 | $i(all_1840_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.64 | all_1631_2, all_1840_0) | ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_635_0,
% 291.71/57.64 | all_1840_0) |
% 291.71/57.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1840_0,
% 291.71/57.64 | all_1631_1))
% 291.71/57.64 |
% 291.71/57.64 | ALPHA: (3730) implies:
% 291.71/57.64 | (3731) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1840_0
% 291.71/57.64 |
% 291.71/57.64 | DELTA: instantiating (3647) with fresh symbol all_1842_0 gives:
% 291.71/57.64 | (3732) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1842_0 &
% 291.71/57.64 | $i(all_1842_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.64 | all_1842_0, all_635_0) | ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1631_2,
% 291.71/57.64 | all_1842_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.64 | all_1631_1, all_1842_0))
% 291.71/57.64 |
% 291.71/57.64 | ALPHA: (3732) implies:
% 291.71/57.64 | (3733) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1842_0
% 291.71/57.64 |
% 291.71/57.64 | DELTA: instantiating (3646) with fresh symbol all_1844_0 gives:
% 291.71/57.64 | (3734) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1844_0 &
% 291.71/57.64 | $i(all_1844_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.64 | all_1844_0, all_1631_2) | ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1844_0,
% 291.71/57.64 | all_635_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.64 | all_1844_0, all_1631_1))
% 291.71/57.64 |
% 291.71/57.64 | ALPHA: (3734) implies:
% 291.71/57.64 | (3735) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1844_0
% 291.71/57.64 |
% 291.71/57.64 | DELTA: instantiating (3563) with fresh symbol all_1847_0 gives:
% 291.71/57.64 | (3736) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1847_0 &
% 291.71/57.64 | $i(all_1847_0) & ( ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1847_0,
% 291.71/57.64 | all_957_0) | ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_x____,
% 291.71/57.64 | all_1847_0) |
% 291.71/57.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1228_0,
% 291.71/57.64 | all_1847_0))
% 291.71/57.64 |
% 291.71/57.64 | ALPHA: (3736) implies:
% 291.71/57.64 | (3737) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1847_0
% 291.71/57.64 |
% 291.71/57.64 | DELTA: instantiating (3641) with fresh symbol all_1851_0 gives:
% 291.71/57.64 | (3738) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1851_0 &
% 291.71/57.64 | $i(all_1851_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.64 | all_1631_13, all_1851_0) | ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_635_0,
% 291.71/57.64 | all_1851_0) |
% 291.71/57.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1851_0,
% 291.71/57.64 | all_1631_12))
% 291.71/57.64 |
% 291.71/57.64 | ALPHA: (3738) implies:
% 291.71/57.64 | (3739) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1851_0
% 291.71/57.64 |
% 291.71/57.64 | DELTA: instantiating (3652) with fresh symbol all_1853_0 gives:
% 291.71/57.64 | (3740) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1853_0 &
% 291.71/57.64 | $i(all_1853_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.64 | all_1631_2, all_1853_0) | ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1853_0,
% 291.71/57.64 | all_635_0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.64 | all_1631_1, all_1853_0))
% 291.71/57.64 |
% 291.71/57.64 | ALPHA: (3740) implies:
% 291.71/57.64 | (3741) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1853_0
% 291.71/57.64 |
% 291.71/57.64 | DELTA: instantiating (3651) with fresh symbol all_1855_0 gives:
% 291.71/57.64 | (3742) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1855_0 &
% 291.71/57.64 | $i(all_1855_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.64 | all_1631_2, all_1855_0) | ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_635_0,
% 291.71/57.64 | all_1855_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.64 | all_1855_0, all_1631_1))
% 291.71/57.64 |
% 291.71/57.64 | ALPHA: (3742) implies:
% 291.71/57.64 | (3743) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1855_0
% 291.71/57.64 |
% 291.71/57.64 | DELTA: instantiating (3649) with fresh symbol all_1857_0 gives:
% 291.71/57.64 | (3744) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1857_0 &
% 291.71/57.64 | $i(all_1857_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.64 | all_1857_0, all_1631_2) | ~
% 291.71/57.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1857_0,
% 291.71/57.64 | all_635_0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.64 | all_1857_0, all_1631_1))
% 291.71/57.64 |
% 291.71/57.64 | ALPHA: (3744) implies:
% 291.71/57.65 | (3745) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1857_0
% 291.71/57.65 |
% 291.71/57.65 | DELTA: instantiating (3648) with fresh symbol all_1859_0 gives:
% 291.71/57.65 | (3746) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1859_0 &
% 291.71/57.65 | $i(all_1859_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.65 | all_1859_0, all_1631_2) | ~
% 291.71/57.65 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_635_0,
% 291.71/57.65 | all_1859_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.65 | all_1631_1, all_1859_0))
% 291.71/57.65 |
% 291.71/57.65 | ALPHA: (3746) implies:
% 291.71/57.65 | (3747) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1859_0
% 291.71/57.65 |
% 291.71/57.65 | DELTA: instantiating (3614) with fresh symbol all_1861_0 gives:
% 291.71/57.65 | (3748) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1861_0 &
% 291.71/57.65 | $i(all_1861_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.65 | all_1861_0, all_1396_1) | ~
% 291.71/57.65 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1861_0,
% 291.71/57.65 | all_1396_3) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.65 | all_1861_0, all_635_0))
% 291.71/57.65 |
% 291.71/57.65 | ALPHA: (3748) implies:
% 291.71/57.65 | (3749) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1861_0
% 291.71/57.65 |
% 291.71/57.65 | DELTA: instantiating (3650) with fresh symbol all_1863_0 gives:
% 291.71/57.65 | (3750) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1863_0 &
% 291.71/57.65 | $i(all_1863_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.65 | all_1863_0, all_1631_2) | ~
% 291.71/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_635_0,
% 291.71/57.65 | all_1863_0) |
% 291.71/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1631_1,
% 291.71/57.65 | all_1863_0))
% 291.71/57.65 |
% 291.71/57.65 | ALPHA: (3750) implies:
% 291.71/57.65 | (3751) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1863_0
% 291.71/57.65 |
% 291.71/57.65 | DELTA: instantiating (3616) with fresh symbol all_1865_0 gives:
% 291.71/57.65 | (3752) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1865_0 &
% 291.71/57.65 | $i(all_1865_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.65 | all_1865_0, all_1396_1) | ~
% 291.71/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1865_0,
% 291.71/57.65 | all_1396_3) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.65 | all_1865_0, all_635_0))
% 291.71/57.65 |
% 291.71/57.65 | ALPHA: (3752) implies:
% 291.71/57.65 | (3753) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1865_0
% 291.71/57.65 |
% 291.71/57.65 | DELTA: instantiating (3540) with fresh symbol all_1867_0 gives:
% 291.71/57.65 | (3754) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1867_0 &
% 291.71/57.65 | $i(all_1867_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.65 | all_1867_0, v_y____) | ~
% 291.71/57.65 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_957_0,
% 291.71/57.65 | all_1867_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.65 | all_1244_1, all_1867_0))
% 291.71/57.65 |
% 291.71/57.65 | ALPHA: (3754) implies:
% 291.71/57.65 | (3755) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1867_0
% 291.71/57.65 |
% 291.71/57.65 | DELTA: instantiating (3539) with fresh symbol all_1872_0 gives:
% 291.71/57.65 | (3756) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1872_0 &
% 291.71/57.65 | $i(all_1872_0) & ( ~ (all_1872_0 = all_1631_10) | all_1631_10 =
% 291.71/57.65 | all_1631_11 | all_1631_10 = all_1601_5)
% 291.71/57.65 |
% 291.71/57.65 | ALPHA: (3756) implies:
% 291.71/57.65 | (3757) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1872_0
% 291.71/57.65 |
% 291.71/57.65 | DELTA: instantiating (3536) with fresh symbol all_1874_0 gives:
% 291.71/57.65 | (3758) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1874_0 &
% 291.71/57.65 | $i(all_1874_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.65 | all_1631_11, all_1874_0) | ~
% 291.71/57.65 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1601_5,
% 291.71/57.65 | all_1874_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.65 | all_1874_0, all_1631_10))
% 291.71/57.65 |
% 291.71/57.65 | ALPHA: (3758) implies:
% 291.71/57.65 | (3759) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1874_0
% 291.71/57.65 |
% 291.71/57.65 | DELTA: instantiating (3565) with fresh symbol all_1878_0 gives:
% 291.71/57.65 | (3760) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1878_0 &
% 291.71/57.65 | $i(all_1878_0) & ( ~
% 291.71/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_957_0,
% 291.71/57.65 | all_1878_0) | ~
% 291.71/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_x____,
% 291.71/57.65 | all_1878_0) |
% 291.71/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1878_0,
% 291.71/57.65 | all_1228_0))
% 291.71/57.65 |
% 291.71/57.65 | ALPHA: (3760) implies:
% 291.71/57.65 | (3761) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1878_0
% 291.71/57.65 |
% 291.71/57.65 | DELTA: instantiating (3599) with fresh symbols all_1880_0, all_1880_1 gives:
% 291.71/57.65 | (3762) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1880_1 &
% 291.71/57.65 | hAPP(all_1581_1, all_1299_0) = all_1880_0 & $i(all_1880_0) &
% 291.71/57.65 | $i(all_1880_1) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.65 | all_1880_1, all_1880_0)
% 291.71/57.65 |
% 291.71/57.65 | ALPHA: (3762) implies:
% 291.71/57.65 | (3763) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1880_1
% 291.71/57.65 |
% 291.71/57.65 | DELTA: instantiating (3598) with fresh symbols all_1882_0, all_1882_1 gives:
% 291.71/57.65 | (3764) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1882_0 &
% 291.71/57.65 | hAPP(all_1581_1, all_1296_0) = all_1882_1 & $i(all_1882_0) &
% 291.71/57.65 | $i(all_1882_1) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.65 | all_1882_1, all_1882_0)
% 291.71/57.65 |
% 291.71/57.65 | ALPHA: (3764) implies:
% 291.71/57.65 | (3765) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1882_0
% 291.71/57.65 |
% 291.71/57.65 | DELTA: instantiating (3625) with fresh symbol all_1884_0 gives:
% 291.71/57.65 | (3766) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1884_0 &
% 291.71/57.65 | $i(all_1884_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.65 | all_1884_0, c_Transcendental_Opi) | ~
% 291.71/57.65 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1601_5,
% 291.71/57.65 | all_1884_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.65 | all_1631_18, all_1884_0))
% 291.71/57.65 |
% 291.71/57.65 | ALPHA: (3766) implies:
% 291.71/57.65 | (3767) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1884_0
% 291.71/57.65 |
% 291.71/57.65 | DELTA: instantiating (3591) with fresh symbols all_1886_0, all_1886_1 gives:
% 291.71/57.65 | (3768) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1886_1 &
% 291.71/57.65 | hAPP(all_1581_5, all_1299_0) = all_1886_0 & $i(all_1886_0) &
% 291.71/57.65 | $i(all_1886_1) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.65 | all_1886_1, all_1886_0)
% 291.71/57.65 |
% 291.71/57.65 | ALPHA: (3768) implies:
% 291.71/57.65 | (3769) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1886_1
% 291.71/57.65 |
% 291.71/57.65 | DELTA: instantiating (3607) with fresh symbols all_1890_0, all_1890_1 gives:
% 291.71/57.65 | (3770) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1890_1 &
% 291.71/57.65 | hAPP(all_1396_7, all_1299_0) = all_1890_0 & $i(all_1890_0) &
% 291.71/57.65 | $i(all_1890_1) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.65 | all_1890_1, all_1890_0)
% 291.71/57.65 |
% 291.71/57.65 | ALPHA: (3770) implies:
% 291.71/57.65 | (3771) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1890_1
% 291.71/57.65 |
% 291.71/57.65 | DELTA: instantiating (3606) with fresh symbols all_1892_0, all_1892_1 gives:
% 291.71/57.65 | (3772) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1892_0 &
% 291.71/57.65 | hAPP(all_1396_7, all_1296_0) = all_1892_1 & $i(all_1892_0) &
% 291.71/57.65 | $i(all_1892_1) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.65 | all_1892_1, all_1892_0)
% 291.71/57.65 |
% 291.71/57.65 | ALPHA: (3772) implies:
% 291.71/57.65 | (3773) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1892_0
% 291.71/57.65 |
% 291.71/57.65 | DELTA: instantiating (3533) with fresh symbol all_1894_0 gives:
% 291.71/57.65 | (3774) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1894_0 &
% 291.71/57.65 | $i(all_1894_0) & ( ~
% 291.71/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1631_11,
% 291.71/57.65 | all_1894_0) | ~
% 291.71/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1601_5,
% 291.71/57.65 | all_1894_0) |
% 291.71/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1894_0,
% 291.71/57.65 | all_1631_10))
% 291.71/57.65 |
% 291.71/57.65 | ALPHA: (3774) implies:
% 291.71/57.65 | (3775) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1894_0
% 291.71/57.65 |
% 291.71/57.65 | DELTA: instantiating (3590) with fresh symbols all_1896_0, all_1896_1 gives:
% 291.71/57.65 | (3776) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1896_0 &
% 291.71/57.65 | hAPP(all_1581_5, all_1296_0) = all_1896_1 & $i(all_1896_0) &
% 291.71/57.65 | $i(all_1896_1) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.65 | all_1896_1, all_1896_0)
% 291.71/57.65 |
% 291.71/57.65 | ALPHA: (3776) implies:
% 291.71/57.65 | (3777) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1896_0
% 291.71/57.65 |
% 291.71/57.65 | DELTA: instantiating (3640) with fresh symbol all_1898_0 gives:
% 291.71/57.65 | (3778) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1898_0 &
% 291.71/57.65 | $i(all_1898_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.65 | all_1631_13, all_1898_0) | ~
% 291.71/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1898_0,
% 291.71/57.65 | all_635_0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.65 | all_1631_12, all_1898_0))
% 291.71/57.65 |
% 291.71/57.65 | ALPHA: (3778) implies:
% 291.71/57.65 | (3779) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1898_0
% 291.71/57.65 |
% 291.71/57.65 | DELTA: instantiating (3638) with fresh symbol all_1900_0 gives:
% 291.71/57.65 | (3780) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1900_0 &
% 291.71/57.65 | $i(all_1900_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.65 | all_1900_0, all_1631_13) | ~
% 291.71/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_635_0,
% 291.71/57.65 | all_1900_0) |
% 291.71/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1631_12,
% 291.71/57.65 | all_1900_0))
% 291.71/57.65 |
% 291.71/57.65 | ALPHA: (3780) implies:
% 291.71/57.65 | (3781) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1900_0
% 291.71/57.65 |
% 291.71/57.65 | DELTA: instantiating (3637) with fresh symbol all_1902_0 gives:
% 291.71/57.65 | (3782) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1902_0 &
% 291.71/57.65 | $i(all_1902_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.65 | all_1902_0, all_1631_13) | ~
% 291.71/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1902_0,
% 291.71/57.65 | all_635_0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.65 | all_1902_0, all_1631_12))
% 291.71/57.65 |
% 291.71/57.65 | ALPHA: (3782) implies:
% 291.71/57.65 | (3783) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1902_0
% 291.71/57.65 |
% 291.71/57.65 | DELTA: instantiating (3624) with fresh symbol all_1904_0 gives:
% 291.71/57.65 | (3784) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1904_0 &
% 291.71/57.65 | $i(all_1904_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.65 | all_1904_0, all_1601_5) | ~
% 291.71/57.65 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1904_0,
% 291.71/57.65 | c_Transcendental_Opi) |
% 291.71/57.65 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1904_0,
% 291.71/57.65 | all_1631_18))
% 291.71/57.65 |
% 291.71/57.65 | ALPHA: (3784) implies:
% 291.71/57.65 | (3785) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1904_0
% 291.71/57.65 |
% 291.71/57.65 | DELTA: instantiating (3595) with fresh symbols all_1906_0, all_1906_1 gives:
% 291.71/57.65 | (3786) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1906_1 &
% 291.71/57.65 | hAPP(all_1233_0, all_1299_0) = all_1906_0 & $i(all_1906_0) &
% 291.71/57.65 | $i(all_1906_1) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.65 | all_1906_1, all_1906_0)
% 291.71/57.65 |
% 291.71/57.65 | ALPHA: (3786) implies:
% 291.71/57.65 | (3787) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1906_1
% 291.71/57.65 |
% 291.71/57.65 | DELTA: instantiating (3594) with fresh symbols all_1908_0, all_1908_1 gives:
% 291.71/57.65 | (3788) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1908_0 &
% 291.71/57.65 | hAPP(all_1233_0, all_1296_0) = all_1908_1 & $i(all_1908_0) &
% 291.71/57.65 | $i(all_1908_1) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 291.71/57.65 | all_1908_1, all_1908_0)
% 291.71/57.65 |
% 291.71/57.65 | ALPHA: (3788) implies:
% 291.71/57.65 | (3789) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1908_0
% 291.71/57.65 |
% 291.71/57.65 | DELTA: instantiating (3549) with fresh symbol all_1910_0 gives:
% 291.71/57.65 | (3790) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1910_0 &
% 291.71/57.65 | $i(all_1910_0) & ( ~
% 291.71/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_957_0,
% 291.71/57.65 | all_1910_0) | ~
% 291.71/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_y____,
% 291.71/57.65 | all_1910_0) |
% 291.71/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1910_0,
% 291.71/57.65 | all_1244_1))
% 291.71/57.65 |
% 291.71/57.65 | ALPHA: (3790) implies:
% 291.71/57.65 | (3791) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1910_0
% 291.71/57.65 |
% 291.71/57.65 | DELTA: instantiating (3547) with fresh symbol all_1912_0 gives:
% 291.71/57.65 | (3792) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1912_0 &
% 291.71/57.65 | $i(all_1912_0) & ( ~
% 291.71/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1912_0,
% 291.71/57.65 | all_957_0) | ~
% 291.71/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_y____,
% 291.71/57.65 | all_1912_0) |
% 291.71/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1244_1,
% 291.71/57.65 | all_1912_0))
% 291.71/57.65 |
% 291.71/57.65 | ALPHA: (3792) implies:
% 291.71/57.65 | (3793) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1912_0
% 291.71/57.65 |
% 291.71/57.65 | DELTA: instantiating (3546) with fresh symbol all_1914_0 gives:
% 291.71/57.65 | (3794) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1914_0 &
% 291.71/57.65 | $i(all_1914_0) & ( ~
% 291.71/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1914_0,
% 291.71/57.65 | all_957_0) | ~
% 291.71/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1914_0,
% 291.71/57.65 | v_y____) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 291.71/57.65 | all_1914_0, all_1244_1))
% 291.71/57.65 |
% 291.71/57.65 | ALPHA: (3794) implies:
% 291.71/57.65 | (3795) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1914_0
% 291.71/57.65 |
% 291.71/57.65 | DELTA: instantiating (3545) with fresh symbol all_1916_0 gives:
% 292.17/57.65 | (3796) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1916_0 &
% 292.17/57.65 | $i(all_1916_0) & ( ~
% 292.17/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1916_0,
% 292.17/57.65 | v_y____) | ~
% 292.17/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_957_0,
% 292.17/57.65 | all_1916_0) |
% 292.17/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1244_1,
% 292.17/57.65 | all_1916_0))
% 292.17/57.65 |
% 292.17/57.65 | ALPHA: (3796) implies:
% 292.17/57.65 | (3797) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1916_0
% 292.17/57.65 |
% 292.17/57.65 | DELTA: instantiating (3544) with fresh symbol all_1918_0 gives:
% 292.17/57.65 | (3798) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1918_0 &
% 292.17/57.65 | $i(all_1918_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.65 | all_1918_0, all_957_0) | ~
% 292.17/57.65 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_y____,
% 292.17/57.65 | all_1918_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.65 | all_1244_1, all_1918_0))
% 292.17/57.65 |
% 292.17/57.65 | ALPHA: (3798) implies:
% 292.17/57.65 | (3799) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1918_0
% 292.17/57.65 |
% 292.17/57.65 | DELTA: instantiating (3542) with fresh symbol all_1920_0 gives:
% 292.17/57.65 | (3800) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1920_0 &
% 292.17/57.65 | $i(all_1920_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.65 | all_1920_0, all_1244_1) | ~
% 292.17/57.65 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1920_0,
% 292.17/57.65 | v_y____) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.65 | all_1920_0, all_957_0))
% 292.17/57.65 |
% 292.17/57.65 | ALPHA: (3800) implies:
% 292.17/57.65 | (3801) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1920_0
% 292.17/57.65 |
% 292.17/57.65 | DELTA: instantiating (3530) with fresh symbol all_1922_0 gives:
% 292.17/57.65 | (3802) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1922_0 &
% 292.17/57.65 | $i(all_1922_0) & ( ~
% 292.17/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1922_0,
% 292.17/57.65 | all_1631_11) | ~
% 292.17/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1922_0,
% 292.17/57.65 | all_1601_5) |
% 292.17/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1922_0,
% 292.17/57.65 | all_1631_10))
% 292.17/57.65 |
% 292.17/57.65 | ALPHA: (3802) implies:
% 292.17/57.65 | (3803) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1922_0
% 292.17/57.65 |
% 292.17/57.65 | DELTA: instantiating (3528) with fresh symbol all_1924_0 gives:
% 292.17/57.65 | (3804) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1924_0 &
% 292.17/57.65 | $i(all_1924_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.65 | all_1924_0, all_1601_5) | ~
% 292.17/57.65 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1631_11,
% 292.17/57.65 | all_1924_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.65 | all_1631_10, all_1924_0))
% 292.17/57.65 |
% 292.17/57.65 | ALPHA: (3804) implies:
% 292.17/57.65 | (3805) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1924_0
% 292.17/57.65 |
% 292.17/57.65 | DELTA: instantiating (3527) with fresh symbol all_1926_0 gives:
% 292.17/57.65 | (3806) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1926_0 &
% 292.17/57.65 | $i(all_1926_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.65 | all_1926_0, all_1631_11) | ~
% 292.17/57.65 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1926_0,
% 292.17/57.65 | all_1601_5) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.65 | all_1926_0, all_1631_10))
% 292.17/57.65 |
% 292.17/57.65 | ALPHA: (3806) implies:
% 292.17/57.65 | (3807) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1926_0
% 292.17/57.65 |
% 292.17/57.65 | DELTA: instantiating (3529) with fresh symbol all_1928_0 gives:
% 292.17/57.65 | (3808) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1928_0 &
% 292.17/57.65 | $i(all_1928_0) & ( ~
% 292.17/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1928_0,
% 292.17/57.65 | all_1631_11) | ~
% 292.17/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1601_5,
% 292.17/57.65 | all_1928_0) |
% 292.17/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1631_10,
% 292.17/57.65 | all_1928_0))
% 292.17/57.65 |
% 292.17/57.65 | ALPHA: (3808) implies:
% 292.17/57.65 | (3809) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1928_0
% 292.17/57.65 |
% 292.17/57.65 | DELTA: instantiating (3541) with fresh symbol all_1930_0 gives:
% 292.17/57.65 | (3810) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1930_0 &
% 292.17/57.65 | $i(all_1930_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.65 | all_1930_0, all_1244_1) | ~
% 292.17/57.65 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1930_0,
% 292.17/57.65 | all_957_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.65 | all_1930_0, v_y____))
% 292.17/57.65 |
% 292.17/57.65 | ALPHA: (3810) implies:
% 292.17/57.65 | (3811) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1930_0
% 292.17/57.65 |
% 292.17/57.65 | DELTA: instantiating (3543) with fresh symbol all_1932_0 gives:
% 292.17/57.65 | (3812) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1932_0 &
% 292.17/57.65 | $i(all_1932_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.65 | all_1932_0, all_957_0) | ~
% 292.17/57.65 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1932_0,
% 292.17/57.65 | v_y____) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.65 | all_1932_0, all_1244_1))
% 292.17/57.65 |
% 292.17/57.65 | ALPHA: (3812) implies:
% 292.17/57.65 | (3813) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1932_0
% 292.17/57.65 |
% 292.17/57.65 | DELTA: instantiating (3571) with fresh symbol all_1934_0 gives:
% 292.17/57.65 | (3814) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1934_0 &
% 292.17/57.65 | $i(all_1934_0) & ( ~ (all_1934_0 = all_1228_0) | all_1228_0 =
% 292.17/57.65 | all_957_0 | all_1228_0 = v_x____)
% 292.17/57.65 |
% 292.17/57.65 | ALPHA: (3814) implies:
% 292.17/57.65 | (3815) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1934_0
% 292.17/57.65 |
% 292.17/57.65 | DELTA: instantiating (3629) with fresh symbol all_1936_0 gives:
% 292.17/57.65 | (3816) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1936_0 &
% 292.17/57.65 | $i(all_1936_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.65 | all_1601_5, all_1936_0) | ~
% 292.17/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.65 | c_Transcendental_Opi, all_1936_0) |
% 292.17/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1936_0,
% 292.17/57.65 | all_1631_18))
% 292.17/57.65 |
% 292.17/57.65 | ALPHA: (3816) implies:
% 292.17/57.65 | (3817) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1936_0
% 292.17/57.65 |
% 292.17/57.65 | DELTA: instantiating (3628) with fresh symbol all_1938_0 gives:
% 292.17/57.65 | (3818) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1938_0 &
% 292.17/57.65 | $i(all_1938_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.65 | all_1601_5, all_1938_0) | ~
% 292.17/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1938_0,
% 292.17/57.65 | c_Transcendental_Opi) |
% 292.17/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1631_18,
% 292.17/57.65 | all_1938_0))
% 292.17/57.65 |
% 292.17/57.65 | ALPHA: (3818) implies:
% 292.17/57.65 | (3819) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1938_0
% 292.17/57.65 |
% 292.17/57.65 | DELTA: instantiating (3627) with fresh symbol all_1940_0 gives:
% 292.17/57.65 | (3820) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1940_0 &
% 292.17/57.65 | $i(all_1940_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.65 | all_1940_0, all_1601_5) | ~
% 292.17/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.65 | c_Transcendental_Opi, all_1940_0) |
% 292.17/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1631_18,
% 292.17/57.65 | all_1940_0))
% 292.17/57.65 |
% 292.17/57.65 | ALPHA: (3820) implies:
% 292.17/57.65 | (3821) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1940_0
% 292.17/57.65 |
% 292.17/57.65 | DELTA: instantiating (3568) with fresh symbol all_1942_0 gives:
% 292.17/57.65 | (3822) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1942_0 &
% 292.17/57.65 | $i(all_1942_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.65 | all_957_0, all_1942_0) | ~
% 292.17/57.65 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_x____,
% 292.17/57.65 | all_1942_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.65 | all_1942_0, all_1228_0))
% 292.17/57.65 |
% 292.17/57.65 | ALPHA: (3822) implies:
% 292.17/57.65 | (3823) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1942_0
% 292.17/57.65 |
% 292.17/57.65 | DELTA: instantiating (3562) with fresh symbol all_1944_0 gives:
% 292.17/57.65 | (3824) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1944_0 &
% 292.17/57.65 | $i(all_1944_0) & ( ~
% 292.17/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1944_0,
% 292.17/57.65 | all_957_0) | ~
% 292.17/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1944_0,
% 292.17/57.65 | v_x____) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.65 | all_1944_0, all_1228_0))
% 292.17/57.65 |
% 292.17/57.65 | ALPHA: (3824) implies:
% 292.17/57.65 | (3825) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1944_0
% 292.17/57.65 |
% 292.17/57.65 | DELTA: instantiating (3560) with fresh symbol all_1946_0 gives:
% 292.17/57.65 | (3826) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1946_0 &
% 292.17/57.65 | $i(all_1946_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.65 | all_1946_0, all_957_0) | ~
% 292.17/57.65 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_x____,
% 292.17/57.65 | all_1946_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.65 | all_1228_0, all_1946_0))
% 292.17/57.65 |
% 292.17/57.65 | ALPHA: (3826) implies:
% 292.17/57.65 | (3827) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1946_0
% 292.17/57.65 |
% 292.17/57.65 | DELTA: instantiating (3559) with fresh symbol all_1948_0 gives:
% 292.17/57.65 | (3828) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1948_0 &
% 292.17/57.65 | $i(all_1948_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.65 | all_1948_0, all_957_0) | ~
% 292.17/57.65 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1948_0,
% 292.17/57.65 | v_x____) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.65 | all_1948_0, all_1228_0))
% 292.17/57.65 |
% 292.17/57.65 | ALPHA: (3828) implies:
% 292.17/57.65 | (3829) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1948_0
% 292.17/57.65 |
% 292.17/57.65 | DELTA: instantiating (3561) with fresh symbol all_1950_0 gives:
% 292.17/57.65 | (3830) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1950_0 &
% 292.17/57.65 | $i(all_1950_0) & ( ~
% 292.17/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1950_0,
% 292.17/57.65 | v_x____) | ~
% 292.17/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_957_0,
% 292.17/57.65 | all_1950_0) |
% 292.17/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1228_0,
% 292.17/57.65 | all_1950_0))
% 292.17/57.65 |
% 292.17/57.65 | ALPHA: (3830) implies:
% 292.17/57.65 | (3831) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1950_0
% 292.17/57.65 |
% 292.17/57.65 | DELTA: instantiating (3558) with fresh symbol all_1952_0 gives:
% 292.17/57.65 | (3832) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1952_0 &
% 292.17/57.65 | $i(all_1952_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.65 | all_1952_0, all_1228_0) | ~
% 292.17/57.65 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1952_0,
% 292.17/57.65 | v_x____) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.65 | all_1952_0, all_957_0))
% 292.17/57.65 |
% 292.17/57.65 | ALPHA: (3832) implies:
% 292.17/57.65 | (3833) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1952_0
% 292.17/57.65 |
% 292.17/57.65 | DELTA: instantiating (3556) with fresh symbol all_1954_0 gives:
% 292.17/57.65 | (3834) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1954_0 &
% 292.17/57.65 | $i(all_1954_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.65 | all_1954_0, v_x____) | ~
% 292.17/57.65 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_957_0,
% 292.17/57.65 | all_1954_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.65 | all_1228_0, all_1954_0))
% 292.17/57.65 |
% 292.17/57.65 | ALPHA: (3834) implies:
% 292.17/57.65 | (3835) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1954_0
% 292.17/57.65 |
% 292.17/57.65 | DELTA: instantiating (3557) with fresh symbol all_1957_0 gives:
% 292.17/57.65 | (3836) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1957_0 &
% 292.17/57.65 | $i(all_1957_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.65 | all_1957_0, all_1228_0) | ~
% 292.17/57.65 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1957_0,
% 292.17/57.65 | all_957_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.65 | all_1957_0, v_x____))
% 292.17/57.65 |
% 292.17/57.65 | ALPHA: (3836) implies:
% 292.17/57.65 | (3837) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1957_0
% 292.17/57.65 |
% 292.17/57.65 | DELTA: instantiating (3626) with fresh symbol all_1959_0 gives:
% 292.17/57.65 | (3838) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1959_0 &
% 292.17/57.65 | $i(all_1959_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.65 | all_1959_0, all_1601_5) | ~
% 292.17/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1959_0,
% 292.17/57.65 | c_Transcendental_Opi) |
% 292.17/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1959_0,
% 292.17/57.65 | all_1631_18))
% 292.17/57.65 |
% 292.17/57.65 | ALPHA: (3838) implies:
% 292.17/57.65 | (3839) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1959_0
% 292.17/57.65 |
% 292.17/57.65 | DELTA: instantiating (3639) with fresh symbol all_1961_0 gives:
% 292.17/57.65 | (3840) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1961_0 &
% 292.17/57.65 | $i(all_1961_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.65 | all_1631_13, all_1961_0) | ~
% 292.17/57.65 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_635_0,
% 292.17/57.65 | all_1961_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.65 | all_1961_0, all_1631_12))
% 292.17/57.65 |
% 292.17/57.65 | ALPHA: (3840) implies:
% 292.17/57.65 | (3841) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1961_0
% 292.17/57.65 |
% 292.17/57.65 | DELTA: instantiating (3555) with fresh symbol all_1965_0 gives:
% 292.17/57.65 | (3842) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1965_0 &
% 292.17/57.65 | $i(all_1965_0) & ( ~ (all_1965_0 = all_1244_1) | all_1244_1 =
% 292.17/57.65 | all_957_0 | all_1244_1 = v_y____)
% 292.17/57.65 |
% 292.17/57.65 | ALPHA: (3842) implies:
% 292.17/57.65 | (3843) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1965_0
% 292.17/57.65 |
% 292.17/57.65 | DELTA: instantiating (3636) with fresh symbol all_1967_0 gives:
% 292.17/57.65 | (3844) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1967_0 &
% 292.17/57.65 | $i(all_1967_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.65 | all_1967_0, all_1631_13) | ~
% 292.17/57.65 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_635_0,
% 292.17/57.65 | all_1967_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.65 | all_1631_12, all_1967_0))
% 292.17/57.65 |
% 292.17/57.65 | ALPHA: (3844) implies:
% 292.17/57.65 | (3845) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1967_0
% 292.17/57.65 |
% 292.17/57.65 | DELTA: instantiating (3635) with fresh symbol all_1969_0 gives:
% 292.17/57.65 | (3846) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1969_0 &
% 292.17/57.65 | $i(all_1969_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.65 | all_1969_0, all_635_0) | ~
% 292.17/57.65 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1631_13,
% 292.17/57.65 | all_1969_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.65 | all_1631_12, all_1969_0))
% 292.17/57.65 |
% 292.17/57.65 | ALPHA: (3846) implies:
% 292.17/57.65 | (3847) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1969_0
% 292.17/57.65 |
% 292.17/57.65 | DELTA: instantiating (3634) with fresh symbol all_1971_0 gives:
% 292.17/57.65 | (3848) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1971_0 &
% 292.17/57.65 | $i(all_1971_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.65 | all_1971_0, all_1631_13) | ~
% 292.17/57.65 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1971_0,
% 292.17/57.65 | all_635_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.65 | all_1971_0, all_1631_12))
% 292.17/57.65 |
% 292.17/57.65 | ALPHA: (3848) implies:
% 292.17/57.65 | (3849) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1971_0
% 292.17/57.65 |
% 292.17/57.65 | DELTA: instantiating (3509) with fresh symbol all_1973_0 gives:
% 292.17/57.65 | (3850) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1973_0 &
% 292.17/57.65 | $i(all_1973_0) & ( ~ (all_1973_0 = all_1311_1) | all_1311_1 =
% 292.17/57.65 | all_1228_0) & ( ~ (all_1973_0 = all_1228_0) | all_1311_1 =
% 292.17/57.65 | all_1228_0)
% 292.17/57.65 |
% 292.17/57.65 | ALPHA: (3850) implies:
% 292.17/57.65 | (3851) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1973_0
% 292.17/57.65 |
% 292.17/57.65 | DELTA: instantiating (3511) with fresh symbol all_1975_0 gives:
% 292.17/57.65 | (3852) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1975_0 &
% 292.17/57.65 | $i(all_1975_0) & ( ~ (all_1975_0 = all_1228_0) |
% 292.17/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1311_1,
% 292.17/57.65 | all_1228_0)) & (all_1975_0 = all_1228_0 | ~
% 292.17/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1311_1,
% 292.17/57.65 | all_1975_0))
% 292.17/57.65 |
% 292.17/57.65 | ALPHA: (3852) implies:
% 292.17/57.65 | (3853) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1975_0
% 292.17/57.65 |
% 292.17/57.65 | DELTA: instantiating (3514) with fresh symbol all_1977_0 gives:
% 292.17/57.65 | (3854) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1977_0 &
% 292.17/57.65 | $i(all_1977_0) & ( ~ (all_1977_0 = all_1328_1) | all_1328_1 =
% 292.17/57.65 | all_1244_1) & ( ~ (all_1977_0 = all_1244_1) | all_1328_1 =
% 292.17/57.65 | all_1244_1)
% 292.17/57.65 |
% 292.17/57.65 | ALPHA: (3854) implies:
% 292.17/57.65 | (3855) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1977_0
% 292.17/57.65 |
% 292.17/57.65 | DELTA: instantiating (3510) with fresh symbol all_1981_0 gives:
% 292.17/57.65 | (3856) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1981_0 &
% 292.17/57.65 | $i(all_1981_0) & ( ~ (all_1981_0 = all_1228_0) | ~
% 292.17/57.65 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1228_0,
% 292.17/57.65 | all_1311_1)) & (all_1981_0 = all_1228_0 |
% 292.17/57.65 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1981_0,
% 292.17/57.65 | all_1311_1))
% 292.17/57.65 |
% 292.17/57.65 | ALPHA: (3856) implies:
% 292.17/57.65 | (3857) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1981_0
% 292.17/57.65 |
% 292.17/57.65 | DELTA: instantiating (3516) with fresh symbol all_1985_0 gives:
% 292.17/57.65 | (3858) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1985_0 &
% 292.17/57.65 | $i(all_1985_0) & ( ~ (all_1985_0 = all_1244_1) |
% 292.17/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1328_1,
% 292.17/57.65 | all_1244_1)) & (all_1985_0 = all_1244_1 | ~
% 292.17/57.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1328_1,
% 292.17/57.65 | all_1985_0))
% 292.17/57.65 |
% 292.17/57.65 | ALPHA: (3858) implies:
% 292.17/57.65 | (3859) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1985_0
% 292.17/57.65 |
% 292.17/57.65 | DELTA: instantiating (3515) with fresh symbol all_1987_0 gives:
% 292.17/57.65 | (3860) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1987_0 &
% 292.17/57.65 | $i(all_1987_0) & ( ~ (all_1987_0 = all_1244_1) | ~
% 292.17/57.65 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1244_1,
% 292.17/57.65 | all_1328_1)) & (all_1987_0 = all_1244_1 |
% 292.17/57.65 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1987_0,
% 292.17/57.65 | all_1328_1))
% 292.17/57.65 |
% 292.17/57.65 | ALPHA: (3860) implies:
% 292.17/57.65 | (3861) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1987_0
% 292.17/57.65 |
% 292.17/57.65 | DELTA: instantiating (3564) with fresh symbol all_1989_0 gives:
% 292.17/57.66 | (3862) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1989_0 &
% 292.17/57.66 | $i(all_1989_0) &
% 292.17/57.66 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1228_0,
% 292.17/57.66 | all_1989_0) | (( ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.66 | all_1989_0, all_957_0) | ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_x____,
% 292.17/57.66 | all_1989_0)) & ( ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.66 | all_1989_0, v_x____) | ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_957_0,
% 292.17/57.66 | all_1989_0))))
% 292.17/57.66 |
% 292.17/57.66 | ALPHA: (3862) implies:
% 292.17/57.66 | (3863) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1989_0
% 292.17/57.66 |
% 292.17/57.66 | DELTA: instantiating (3532) with fresh symbol all_1992_0 gives:
% 292.17/57.66 | (3864) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1992_0 &
% 292.17/57.66 | $i(all_1992_0) &
% 292.17/57.66 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1631_10,
% 292.17/57.66 | all_1992_0) | (( ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.66 | all_1992_0, all_1631_11) | ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.66 | all_1601_5, all_1992_0)) & ( ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.66 | all_1992_0, all_1601_5) | ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.66 | all_1631_11, all_1992_0))))
% 292.17/57.66 |
% 292.17/57.66 | ALPHA: (3864) implies:
% 292.17/57.66 | (3865) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1992_0
% 292.17/57.66 |
% 292.17/57.66 | DELTA: instantiating (3566) with fresh symbol all_1997_0 gives:
% 292.17/57.66 | (3866) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1997_0 &
% 292.17/57.66 | $i(all_1997_0) &
% 292.17/57.66 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1997_0,
% 292.17/57.66 | all_1228_0) | (( ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.66 | all_1997_0, all_957_0) | ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.66 | all_1997_0, v_x____)) & ( ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_957_0,
% 292.17/57.66 | all_1997_0) | ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_x____,
% 292.17/57.66 | all_1997_0))))
% 292.17/57.66 |
% 292.17/57.66 | ALPHA: (3866) implies:
% 292.17/57.66 | (3867) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1997_0
% 292.17/57.66 |
% 292.17/57.66 | DELTA: instantiating (3550) with fresh symbol all_2001_0 gives:
% 292.17/57.66 | (3868) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2001_0 &
% 292.17/57.66 | $i(all_2001_0) &
% 292.17/57.66 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2001_0,
% 292.17/57.66 | all_1244_1) | (( ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.66 | all_2001_0, all_957_0) | ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.66 | all_2001_0, v_y____)) & ( ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_957_0,
% 292.17/57.66 | all_2001_0) | ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_y____,
% 292.17/57.66 | all_2001_0))))
% 292.17/57.66 |
% 292.17/57.66 | ALPHA: (3868) implies:
% 292.17/57.66 | (3869) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2001_0
% 292.17/57.66 |
% 292.17/57.66 | DELTA: instantiating (3534) with fresh symbol all_2004_0 gives:
% 292.17/57.66 | (3870) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2004_0 &
% 292.17/57.66 | $i(all_2004_0) &
% 292.17/57.66 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2004_0,
% 292.17/57.66 | all_1631_10) | (( ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.66 | all_2004_0, all_1631_11) | ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.66 | all_2004_0, all_1601_5)) & ( ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.66 | all_1631_11, all_2004_0) | ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.66 | all_1601_5, all_2004_0))))
% 292.17/57.66 |
% 292.17/57.66 | ALPHA: (3870) implies:
% 292.17/57.66 | (3871) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2004_0
% 292.17/57.66 |
% 292.17/57.66 | DELTA: instantiating (3548) with fresh symbol all_2011_0 gives:
% 292.17/57.66 | (3872) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2011_0 &
% 292.17/57.66 | $i(all_2011_0) &
% 292.17/57.66 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1244_1,
% 292.17/57.66 | all_2011_0) | (( ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.66 | all_2011_0, all_957_0) | ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_y____,
% 292.17/57.66 | all_2011_0)) & ( ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.66 | all_2011_0, v_y____) | ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_957_0,
% 292.17/57.66 | all_2011_0))))
% 292.17/57.66 |
% 292.17/57.66 | ALPHA: (3872) implies:
% 292.17/57.66 | (3873) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2011_0
% 292.17/57.66 |
% 292.17/57.66 | DELTA: instantiating (3578) with fresh symbol all_2024_0 gives:
% 292.17/57.66 | (3874) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2024_0 &
% 292.17/57.66 | $i(all_2024_0) & ( ~ (all_2024_0 = all_1581_3) | (all_1581_3 =
% 292.17/57.66 | all_1311_1 & ~ (all_1413_0 = all_916_2))) & ( ~ (all_2024_0 =
% 292.17/57.66 | all_1311_1) | all_1581_3 = all_1311_1 | all_1413_0 = all_916_2)
% 292.17/57.66 |
% 292.17/57.66 | ALPHA: (3874) implies:
% 292.17/57.66 | (3875) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2024_0
% 292.17/57.66 |
% 292.17/57.66 | DELTA: instantiating (3612) with fresh symbol all_2028_0 gives:
% 292.17/57.66 | (3876) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2028_0 &
% 292.17/57.66 | $i(all_2028_0) & ( ~ (all_2028_0 = all_1396_3) | (all_1396_3 =
% 292.17/57.66 | v_x____ & ~ (all_1464_0 = all_916_2))) & ( ~ (all_2028_0 =
% 292.17/57.66 | v_x____) | all_1464_0 = all_916_2 | all_1396_3 = v_x____)
% 292.17/57.66 |
% 292.17/57.66 | ALPHA: (3876) implies:
% 292.17/57.66 | (3877) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2028_0
% 292.17/57.66 |
% 292.17/57.66 | DELTA: instantiating (3611) with fresh symbol all_2030_0 gives:
% 292.17/57.66 | (3878) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2030_0 &
% 292.17/57.66 | $i(all_2030_0) & ( ~ (all_2030_0 = all_1396_1) | (all_1396_1 =
% 292.17/57.66 | v_y____ & ~ (all_1464_0 = all_916_2))) & ( ~ (all_2030_0 =
% 292.17/57.66 | v_y____) | all_1464_0 = all_916_2 | all_1396_1 = v_y____)
% 292.17/57.66 |
% 292.17/57.66 | ALPHA: (3878) implies:
% 292.17/57.66 | (3879) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2030_0
% 292.17/57.66 |
% 292.17/57.66 | DELTA: instantiating (3567) with fresh symbol all_2036_0 gives:
% 292.17/57.66 | (3880) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2036_0 &
% 292.17/57.66 | $i(all_2036_0) & ( ~ (all_2036_0 = all_1228_0) | all_1228_0 =
% 292.17/57.66 | all_957_0 | all_1228_0 = v_x____) & (all_2036_0 = all_1228_0 | ( ~
% 292.17/57.66 | (all_2036_0 = all_957_0) & ~ (all_2036_0 = v_x____)))
% 292.17/57.66 |
% 292.17/57.66 | ALPHA: (3880) implies:
% 292.17/57.66 | (3881) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2036_0
% 292.17/57.66 |
% 292.17/57.66 | DELTA: instantiating (3574) with fresh symbol all_2044_0 gives:
% 292.17/57.66 | (3882) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2044_0 &
% 292.17/57.66 | $i(all_2044_0) & ( ~ (all_2044_0 = all_1581_0) | (all_1581_0 =
% 292.17/57.66 | all_635_0 & ~ (all_1413_0 = all_916_2))) & ( ~ (all_2044_0 =
% 292.17/57.66 | all_635_0) | all_1581_0 = all_635_0 | all_1413_0 = all_916_2)
% 292.17/57.66 |
% 292.17/57.66 | ALPHA: (3882) implies:
% 292.17/57.66 | (3883) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2044_0
% 292.17/57.66 |
% 292.17/57.66 | DELTA: instantiating (3582) with fresh symbol all_2049_0 gives:
% 292.17/57.66 | (3884) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2049_0 &
% 292.17/57.66 | $i(all_2049_0) & ( ~ (all_2049_0 = all_1396_1) | (all_1396_1 =
% 292.17/57.66 | v_y____ & ~ (all_1413_0 = all_916_2))) & ( ~ (all_2049_0 =
% 292.17/57.66 | v_y____) | all_1413_0 = all_916_2 | all_1396_1 = v_y____)
% 292.17/57.66 |
% 292.17/57.66 | ALPHA: (3884) implies:
% 292.17/57.66 | (3885) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2049_0
% 292.17/57.66 |
% 292.17/57.66 | DELTA: instantiating (3551) with fresh symbol all_2051_0 gives:
% 292.17/57.66 | (3886) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2051_0 &
% 292.17/57.66 | $i(all_2051_0) & ( ~ (all_2051_0 = all_1244_1) | all_1244_1 =
% 292.17/57.66 | all_957_0 | all_1244_1 = v_y____) & (all_2051_0 = all_1244_1 | ( ~
% 292.17/57.66 | (all_2051_0 = all_957_0) & ~ (all_2051_0 = v_y____)))
% 292.17/57.66 |
% 292.17/57.66 | ALPHA: (3886) implies:
% 292.17/57.66 | (3887) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2051_0
% 292.17/57.66 |
% 292.17/57.66 | DELTA: instantiating (3610) with fresh symbol all_2063_0 gives:
% 292.17/57.66 | (3888) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2063_0 &
% 292.17/57.66 | $i(all_2063_0) & ( ~ (all_2063_0 = all_1581_3) | (all_1581_3 =
% 292.17/57.66 | all_1311_1 & ~ (all_1464_0 = all_916_2))) & ( ~ (all_2063_0 =
% 292.17/57.66 | all_1311_1) | all_1581_3 = all_1311_1 | all_1464_0 = all_916_2)
% 292.17/57.66 |
% 292.17/57.66 | ALPHA: (3888) implies:
% 292.17/57.66 | (3889) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2063_0
% 292.17/57.66 |
% 292.17/57.66 | DELTA: instantiating (3609) with fresh symbol all_2065_0 gives:
% 292.17/57.66 | (3890) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2065_0 &
% 292.17/57.66 | $i(all_2065_0) & ( ~ (all_2065_0 = all_1581_0) | (all_1581_0 =
% 292.17/57.66 | all_635_0 & ~ (all_1464_0 = all_916_2))) & ( ~ (all_2065_0 =
% 292.17/57.66 | all_635_0) | all_1581_0 = all_635_0 | all_1464_0 = all_916_2)
% 292.17/57.66 |
% 292.17/57.66 | ALPHA: (3890) implies:
% 292.17/57.66 | (3891) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2065_0
% 292.17/57.66 |
% 292.17/57.66 | DELTA: instantiating (3517) with fresh symbol all_2076_0 gives:
% 292.17/57.66 | (3892) ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin,
% 292.17/57.66 | c_Int_OPls) | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 292.17/57.66 | all_2076_0 & $i(all_2076_0) &
% 292.17/57.66 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1228_6,
% 292.17/57.66 | all_2076_0))) & (c_Orderings_Oord__class_Oless(tc_Int_Oint,
% 292.17/57.66 | c_Int_OMin, c_Int_OPls) |
% 292.17/57.66 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2076_0 &
% 292.17/57.66 | $i(all_2076_0) & ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1228_6,
% 292.17/57.66 | all_2076_0)))
% 292.17/57.66 |
% 292.17/57.66 | ALPHA: (3892) implies:
% 292.17/57.66 | (3893) ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin,
% 292.17/57.66 | c_Int_OPls) | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 292.17/57.66 | all_2076_0 & $i(all_2076_0) &
% 292.17/57.66 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1228_6,
% 292.17/57.66 | all_2076_0))
% 292.17/57.66 |
% 292.17/57.66 | DELTA: instantiating (3535) with fresh symbol all_2079_0 gives:
% 292.17/57.66 | (3894) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2079_0 &
% 292.17/57.66 | $i(all_2079_0) & ( ~ (all_2079_0 = all_1631_10) | all_1631_10 =
% 292.17/57.66 | all_1631_11 | all_1631_10 = all_1601_5) & (all_2079_0 =
% 292.17/57.66 | all_1631_10 | ( ~ (all_2079_0 = all_1631_11) & ~ (all_2079_0 =
% 292.17/57.66 | all_1601_5)))
% 292.17/57.66 |
% 292.17/57.66 | ALPHA: (3894) implies:
% 292.17/57.66 | (3895) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2079_0
% 292.17/57.66 |
% 292.17/57.66 | DELTA: instantiating (3586) with fresh symbol all_2084_0 gives:
% 292.17/57.66 | (3896) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2084_0 &
% 292.17/57.66 | $i(all_2084_0) & ( ~ (all_2084_0 = all_1396_3) | (all_1396_3 =
% 292.17/57.66 | v_x____ & ~ (all_1413_0 = all_916_2))) & ( ~ (all_2084_0 =
% 292.17/57.66 | v_x____) | all_1413_0 = all_916_2 | all_1396_3 = v_x____)
% 292.17/57.66 |
% 292.17/57.66 | ALPHA: (3896) implies:
% 292.17/57.66 | (3897) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2084_0
% 292.17/57.66 |
% 292.17/57.66 | DELTA: instantiating (3520) with fresh symbol all_2109_0 gives:
% 292.17/57.66 | (3898) ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls,
% 292.17/57.66 | all_916_0) | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 292.17/57.66 | all_2109_0 & $i(all_2109_0) &
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2109_0,
% 292.17/57.66 | all_957_0))) & (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 292.17/57.66 | c_Int_OPls, all_916_0) |
% 292.17/57.66 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2109_0 &
% 292.17/57.66 | $i(all_2109_0) & ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2109_0,
% 292.17/57.66 | all_957_0)))
% 292.17/57.66 |
% 292.17/57.66 | ALPHA: (3898) implies:
% 292.17/57.66 | (3899) ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls,
% 292.17/57.66 | all_916_0) | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 292.17/57.66 | all_2109_0 & $i(all_2109_0) &
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2109_0,
% 292.17/57.66 | all_957_0))
% 292.17/57.66 |
% 292.17/57.66 | DELTA: instantiating (3519) with fresh symbol all_2125_0 gives:
% 292.17/57.66 | (3900) ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls,
% 292.17/57.66 | c_Int_OMin) | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 292.17/57.66 | all_2125_0 & $i(all_2125_0) &
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2125_0,
% 292.17/57.66 | all_1228_6))) &
% 292.17/57.66 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls,
% 292.17/57.66 | c_Int_OMin) | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 292.17/57.66 | all_2125_0 & $i(all_2125_0) & ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2125_0,
% 292.17/57.66 | all_1228_6)))
% 292.17/57.66 |
% 292.17/57.66 | ALPHA: (3900) implies:
% 292.17/57.66 | (3901) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls,
% 292.17/57.66 | c_Int_OMin) | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 292.17/57.66 | all_2125_0 & $i(all_2125_0) & ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2125_0,
% 292.17/57.66 | all_1228_6))
% 292.17/57.66 |
% 292.17/57.66 | DELTA: instantiating (3518) with fresh symbol all_2127_0 gives:
% 292.17/57.66 | (3902) ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin,
% 292.17/57.66 | c_Int_OPls) | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 292.17/57.66 | all_2127_0 & $i(all_2127_0) &
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1228_6,
% 292.17/57.66 | all_2127_0))) &
% 292.17/57.66 | (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin,
% 292.17/57.66 | c_Int_OPls) | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 292.17/57.66 | all_2127_0 & $i(all_2127_0) & ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1228_6,
% 292.17/57.66 | all_2127_0)))
% 292.17/57.66 |
% 292.17/57.66 | ALPHA: (3902) implies:
% 292.17/57.66 | (3903) ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin,
% 292.17/57.66 | c_Int_OPls) | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 292.17/57.66 | all_2127_0 & $i(all_2127_0) &
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1228_6,
% 292.17/57.66 | all_2127_0))
% 292.17/57.66 |
% 292.17/57.66 | DELTA: instantiating (3601) with fresh symbols all_2131_0, all_2131_1 gives:
% 292.17/57.66 | (3904) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2131_0 &
% 292.17/57.66 | $i(all_2131_0) & ( ~ (all_2131_0 = v_y____) | (all_2131_1 = v_y____
% 292.17/57.66 | & hAPP(all_1396_2, all_1434_0) = v_y____)) & (all_2131_0 =
% 292.17/57.66 | v_y____ | ( ~ (all_2131_0 = all_2131_1) & hAPP(all_1396_2,
% 292.17/57.66 | all_1434_0) = all_2131_1 & $i(all_2131_1)))
% 292.17/57.66 |
% 292.17/57.66 | ALPHA: (3904) implies:
% 292.17/57.66 | (3905) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2131_0
% 292.17/57.66 |
% 292.17/57.66 | DELTA: instantiating (3589) with fresh symbols all_2133_0, all_2133_1 gives:
% 292.17/57.66 | (3906) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2133_0 &
% 292.17/57.66 | $i(all_2133_0) & ( ~ (all_2133_0 = all_1311_1) | (all_2133_1 =
% 292.17/57.66 | all_1311_1 & hAPP(all_1581_5, all_1434_0) = all_1311_1)) &
% 292.17/57.66 | (all_2133_0 = all_1311_1 | ( ~ (all_2133_0 = all_2133_1) &
% 292.17/57.66 | hAPP(all_1581_5, all_1434_0) = all_2133_1 & $i(all_2133_1)))
% 292.17/57.66 |
% 292.17/57.66 | ALPHA: (3906) implies:
% 292.17/57.66 | (3907) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2133_0
% 292.17/57.66 |
% 292.17/57.66 | DELTA: instantiating (3593) with fresh symbols all_2136_0, all_2136_1 gives:
% 292.17/57.66 | (3908) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2136_0 &
% 292.17/57.66 | $i(all_2136_0) & ( ~ (all_2136_0 = all_957_0) | (all_2136_1 =
% 292.17/57.66 | all_957_0 & hAPP(all_1233_0, all_1434_0) = all_957_0)) &
% 292.17/57.66 | (all_2136_0 = all_957_0 | ( ~ (all_2136_0 = all_2136_1) &
% 292.17/57.66 | hAPP(all_1233_0, all_1434_0) = all_2136_1 & $i(all_2136_1)))
% 292.17/57.66 |
% 292.17/57.66 | ALPHA: (3908) implies:
% 292.17/57.66 | (3909) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2136_0
% 292.17/57.66 |
% 292.17/57.66 | DELTA: instantiating (3597) with fresh symbols all_2140_0, all_2140_1 gives:
% 292.17/57.66 | (3910) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2140_0 &
% 292.17/57.66 | $i(all_2140_0) & ( ~ (all_2140_0 = all_635_0) | (all_2140_1 =
% 292.17/57.66 | all_635_0 & hAPP(all_1581_1, all_1434_0) = all_635_0)) &
% 292.17/57.66 | (all_2140_0 = all_635_0 | ( ~ (all_2140_0 = all_2140_1) &
% 292.17/57.66 | hAPP(all_1581_1, all_1434_0) = all_2140_1 & $i(all_2140_1)))
% 292.17/57.66 |
% 292.17/57.66 | ALPHA: (3910) implies:
% 292.17/57.66 | (3911) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2140_0
% 292.17/57.66 |
% 292.17/57.66 | DELTA: instantiating (3605) with fresh symbols all_2143_0, all_2143_1 gives:
% 292.17/57.66 | (3912) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2143_0 &
% 292.17/57.66 | $i(all_2143_0) & ( ~ (all_2143_0 = v_x____) | (all_2143_1 = v_x____
% 292.17/57.66 | & hAPP(all_1396_7, all_1434_0) = v_x____)) & (all_2143_0 =
% 292.17/57.66 | v_x____ | ( ~ (all_2143_0 = all_2143_1) & hAPP(all_1396_7,
% 292.17/57.66 | all_1434_0) = all_2143_1 & $i(all_2143_1)))
% 292.17/57.66 |
% 292.17/57.66 | ALPHA: (3912) implies:
% 292.17/57.66 | (3913) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2143_0
% 292.17/57.66 |
% 292.17/57.66 | DELTA: instantiating (3608) with fresh symbols all_2145_0, all_2145_1 gives:
% 292.17/57.66 | (3914) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2145_1 &
% 292.17/57.66 | $i(all_2145_1) & ( ~ (all_2145_1 = v_x____) | (hAPP(all_1396_7,
% 292.17/57.66 | all_1449_0) = all_2145_0 & $i(all_2145_0) & ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_x____,
% 292.17/57.66 | all_2145_0))) & (all_2145_1 = v_x____ | (hAPP(all_1396_7,
% 292.17/57.66 | all_1449_0) = all_2145_0 & $i(all_2145_0) &
% 292.17/57.66 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2145_1,
% 292.17/57.66 | all_2145_0)))
% 292.17/57.66 |
% 292.17/57.66 | ALPHA: (3914) implies:
% 292.17/57.66 | (3915) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2145_1
% 292.17/57.66 |
% 292.17/57.66 | DELTA: instantiating (3604) with fresh symbols all_2147_0, all_2147_1 gives:
% 292.17/57.66 | (3916) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2147_1 &
% 292.17/57.66 | $i(all_2147_1) & ( ~ (all_2147_1 = v_y____) | (hAPP(all_1396_2,
% 292.17/57.66 | all_1449_0) = all_2147_0 & $i(all_2147_0) & ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_y____,
% 292.17/57.66 | all_2147_0))) & (all_2147_1 = v_y____ | (hAPP(all_1396_2,
% 292.17/57.66 | all_1449_0) = all_2147_0 & $i(all_2147_0) &
% 292.17/57.66 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2147_1,
% 292.17/57.66 | all_2147_0)))
% 292.17/57.66 |
% 292.17/57.66 | ALPHA: (3916) implies:
% 292.17/57.66 | (3917) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2147_1
% 292.17/57.66 |
% 292.17/57.66 | DELTA: instantiating (3596) with fresh symbols all_2151_0, all_2151_1 gives:
% 292.17/57.66 | (3918) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2151_1 &
% 292.17/57.66 | $i(all_2151_1) & ( ~ (all_2151_1 = all_957_0) | (hAPP(all_1233_0,
% 292.17/57.66 | all_1449_0) = all_2151_0 & $i(all_2151_0) & ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_957_0,
% 292.17/57.66 | all_2151_0))) & (all_2151_1 = all_957_0 | (hAPP(all_1233_0,
% 292.17/57.66 | all_1449_0) = all_2151_0 & $i(all_2151_0) &
% 292.17/57.66 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2151_1,
% 292.17/57.66 | all_2151_0)))
% 292.17/57.66 |
% 292.17/57.66 | ALPHA: (3918) implies:
% 292.17/57.66 | (3919) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2151_1
% 292.17/57.66 |
% 292.17/57.66 | DELTA: instantiating (3621) with fresh symbol all_2153_0 gives:
% 292.17/57.66 | (3920) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2153_0 &
% 292.17/57.66 | $i(all_2153_0) & ( ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2153_0,
% 292.17/57.66 | all_1396_1) | ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2153_0,
% 292.17/57.66 | all_1396_3) | (( ~ (all_2153_0 = all_1396_3) | ~ (all_1396_1 =
% 292.17/57.66 | all_1396_3) | all_1396_3 = all_635_0) & ( ~ (all_2153_0 =
% 292.17/57.66 | all_635_0) | (all_1396_1 = all_635_0 & all_1396_3 =
% 292.17/57.66 | all_635_0))))
% 292.17/57.66 |
% 292.17/57.66 | ALPHA: (3920) implies:
% 292.17/57.66 | (3921) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2153_0
% 292.17/57.66 |
% 292.17/57.66 | DELTA: instantiating (3600) with fresh symbols all_2155_0, all_2155_1 gives:
% 292.17/57.66 | (3922) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2155_1 &
% 292.17/57.66 | $i(all_2155_1) & ( ~ (all_2155_1 = all_635_0) | (hAPP(all_1581_1,
% 292.17/57.66 | all_1449_0) = all_2155_0 & $i(all_2155_0) & ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_635_0,
% 292.17/57.66 | all_2155_0))) & (all_2155_1 = all_635_0 | (hAPP(all_1581_1,
% 292.17/57.66 | all_1449_0) = all_2155_0 & $i(all_2155_0) &
% 292.17/57.66 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2155_1,
% 292.17/57.66 | all_2155_0)))
% 292.17/57.66 |
% 292.17/57.66 | ALPHA: (3922) implies:
% 292.17/57.66 | (3923) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2155_1
% 292.17/57.66 |
% 292.17/57.66 | DELTA: instantiating (3592) with fresh symbols all_2158_0, all_2158_1 gives:
% 292.17/57.66 | (3924) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2158_1 &
% 292.17/57.66 | $i(all_2158_1) & ( ~ (all_2158_1 = all_1311_1) | (hAPP(all_1581_5,
% 292.17/57.66 | all_1449_0) = all_2158_0 & $i(all_2158_0) & ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1311_1,
% 292.17/57.66 | all_2158_0))) & (all_2158_1 = all_1311_1 | (hAPP(all_1581_5,
% 292.17/57.66 | all_1449_0) = all_2158_0 & $i(all_2158_0) &
% 292.17/57.66 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2158_1,
% 292.17/57.66 | all_2158_0)))
% 292.17/57.66 |
% 292.17/57.66 | ALPHA: (3924) implies:
% 292.17/57.66 | (3925) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2158_1
% 292.17/57.66 |
% 292.17/57.66 | DELTA: instantiating (3569) with fresh symbol all_2162_0 gives:
% 292.17/57.66 | (3926) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2162_0 &
% 292.17/57.66 | $i(all_2162_0) & ( ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2162_0,
% 292.17/57.66 | all_1228_0) |
% 292.17/57.66 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2162_0,
% 292.17/57.66 | all_957_0) &
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2162_0,
% 292.17/57.66 | v_x____)) |
% 292.17/57.66 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_957_0,
% 292.17/57.66 | all_2162_0) &
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_x____,
% 292.17/57.66 | all_2162_0))) &
% 292.17/57.66 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2162_0,
% 292.17/57.66 | all_1228_0) | (( ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.66 | all_2162_0, all_957_0) | ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.66 | all_2162_0, v_x____)) & ( ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_957_0,
% 292.17/57.66 | all_2162_0) | ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_x____,
% 292.17/57.66 | all_2162_0))))
% 292.17/57.66 |
% 292.17/57.66 | ALPHA: (3926) implies:
% 292.17/57.66 | (3927) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2162_0
% 292.17/57.66 |
% 292.17/57.66 | DELTA: instantiating (3645) with fresh symbol all_2164_0 gives:
% 292.17/57.66 | (3928) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2164_0 &
% 292.17/57.66 | $i(all_2164_0) & ( ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1631_12,
% 292.17/57.66 | all_2164_0) |
% 292.17/57.66 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2164_0,
% 292.17/57.66 | all_1631_13) &
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_635_0,
% 292.17/57.66 | all_2164_0)) |
% 292.17/57.66 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2164_0,
% 292.17/57.66 | all_635_0) &
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1631_13,
% 292.17/57.66 | all_2164_0))) &
% 292.17/57.66 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1631_12,
% 292.17/57.66 | all_2164_0) | (( ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.66 | all_2164_0, all_1631_13) | ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_635_0,
% 292.17/57.66 | all_2164_0)) & ( ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.66 | all_2164_0, all_635_0) | ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.66 | all_1631_13, all_2164_0))))
% 292.17/57.66 |
% 292.17/57.66 | ALPHA: (3928) implies:
% 292.17/57.66 | (3929) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2164_0
% 292.17/57.66 |
% 292.17/57.66 | DELTA: instantiating (3538) with fresh symbol all_2166_0 gives:
% 292.17/57.66 | (3930) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2166_0 &
% 292.17/57.66 | $i(all_2166_0) & ( ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1631_10,
% 292.17/57.66 | all_2166_0) |
% 292.17/57.66 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2166_0,
% 292.17/57.66 | all_1631_11) &
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1601_5,
% 292.17/57.66 | all_2166_0)) |
% 292.17/57.66 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2166_0,
% 292.17/57.66 | all_1601_5) &
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1631_11,
% 292.17/57.66 | all_2166_0))) &
% 292.17/57.66 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1631_10,
% 292.17/57.66 | all_2166_0) | (( ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.66 | all_2166_0, all_1631_11) | ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.66 | all_1601_5, all_2166_0)) & ( ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.66 | all_2166_0, all_1601_5) | ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.66 | all_1631_11, all_2166_0))))
% 292.17/57.66 |
% 292.17/57.66 | ALPHA: (3930) implies:
% 292.17/57.66 | (3931) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2166_0
% 292.17/57.66 |
% 292.17/57.66 | DELTA: instantiating (3570) with fresh symbol all_2168_0 gives:
% 292.17/57.66 | (3932) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2168_0 &
% 292.17/57.66 | $i(all_2168_0) & ( ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1228_0,
% 292.17/57.66 | all_2168_0) |
% 292.17/57.66 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2168_0,
% 292.17/57.66 | all_957_0) &
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_x____,
% 292.17/57.66 | all_2168_0)) |
% 292.17/57.66 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2168_0,
% 292.17/57.66 | v_x____) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.66 | all_957_0, all_2168_0))) &
% 292.17/57.66 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1228_0,
% 292.17/57.66 | all_2168_0) | (( ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.66 | all_2168_0, all_957_0) | ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_x____,
% 292.17/57.66 | all_2168_0)) & ( ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.66 | all_2168_0, v_x____) | ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_957_0,
% 292.17/57.66 | all_2168_0))))
% 292.17/57.66 |
% 292.17/57.66 | ALPHA: (3932) implies:
% 292.17/57.66 | (3933) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2168_0
% 292.17/57.66 |
% 292.17/57.66 | DELTA: instantiating (3642) with fresh symbol all_2170_0 gives:
% 292.17/57.66 | (3934) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2170_0 &
% 292.17/57.66 | $i(all_2170_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.66 | all_2170_0, all_1631_12) |
% 292.17/57.66 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2170_0,
% 292.17/57.66 | all_1631_13) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.66 | all_2170_0, all_635_0)) |
% 292.17/57.66 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1631_13,
% 292.17/57.66 | all_2170_0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.66 | all_635_0, all_2170_0))) &
% 292.17/57.66 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2170_0,
% 292.17/57.66 | all_1631_12) | (( ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2170_0,
% 292.17/57.66 | all_1631_13) | ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2170_0,
% 292.17/57.66 | all_635_0)) & ( ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1631_13,
% 292.17/57.66 | all_2170_0) | ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_635_0,
% 292.17/57.66 | all_2170_0))))
% 292.17/57.66 |
% 292.17/57.66 | ALPHA: (3934) implies:
% 292.17/57.66 | (3935) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2170_0
% 292.17/57.66 |
% 292.17/57.66 | DELTA: instantiating (3537) with fresh symbol all_2172_0 gives:
% 292.17/57.66 | (3936) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2172_0 &
% 292.17/57.66 | $i(all_2172_0) & ( ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2172_0,
% 292.17/57.66 | all_1631_10) |
% 292.17/57.66 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2172_0,
% 292.17/57.66 | all_1631_11) &
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2172_0,
% 292.17/57.66 | all_1601_5)) |
% 292.17/57.66 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1631_11,
% 292.17/57.66 | all_2172_0) &
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1601_5,
% 292.17/57.66 | all_2172_0))) &
% 292.17/57.66 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2172_0,
% 292.17/57.66 | all_1631_10) | (( ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.66 | all_2172_0, all_1631_11) | ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.66 | all_2172_0, all_1601_5)) & ( ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.66 | all_1631_11, all_2172_0) | ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.66 | all_1601_5, all_2172_0))))
% 292.17/57.66 |
% 292.17/57.66 | ALPHA: (3936) implies:
% 292.17/57.66 | (3937) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2172_0
% 292.17/57.66 |
% 292.17/57.66 | DELTA: instantiating (3553) with fresh symbol all_2174_0 gives:
% 292.17/57.66 | (3938) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2174_0 &
% 292.17/57.66 | $i(all_2174_0) & ( ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2174_0,
% 292.17/57.66 | all_1244_1) |
% 292.17/57.66 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2174_0,
% 292.17/57.66 | all_957_0) &
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2174_0,
% 292.17/57.66 | v_y____)) |
% 292.17/57.66 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_957_0,
% 292.17/57.66 | all_2174_0) &
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_y____,
% 292.17/57.66 | all_2174_0))) &
% 292.17/57.66 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2174_0,
% 292.17/57.66 | all_1244_1) | (( ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.66 | all_2174_0, all_957_0) | ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.66 | all_2174_0, v_y____)) & ( ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_957_0,
% 292.17/57.66 | all_2174_0) | ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_y____,
% 292.17/57.66 | all_2174_0))))
% 292.17/57.66 |
% 292.17/57.66 | ALPHA: (3938) implies:
% 292.17/57.66 | (3939) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2174_0
% 292.17/57.66 |
% 292.17/57.66 | DELTA: instantiating (3633) with fresh symbol all_2176_0 gives:
% 292.17/57.66 | (3940) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2176_0 &
% 292.17/57.66 | $i(all_2176_0) & ( ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1631_18,
% 292.17/57.66 | all_2176_0) |
% 292.17/57.66 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2176_0,
% 292.17/57.66 | all_1601_5) &
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.66 | c_Transcendental_Opi, all_2176_0)) |
% 292.17/57.66 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2176_0,
% 292.17/57.66 | c_Transcendental_Opi) &
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1601_5,
% 292.17/57.66 | all_2176_0))) &
% 292.17/57.66 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1631_18,
% 292.17/57.66 | all_2176_0) | (( ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.66 | all_2176_0, all_1601_5) | ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.66 | c_Transcendental_Opi, all_2176_0)) & ( ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.66 | all_2176_0, c_Transcendental_Opi) | ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.66 | all_1601_5, all_2176_0))))
% 292.17/57.66 |
% 292.17/57.66 | ALPHA: (3940) implies:
% 292.17/57.66 | (3941) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2176_0
% 292.17/57.66 |
% 292.17/57.66 | DELTA: instantiating (3631) with fresh symbol all_2178_0 gives:
% 292.17/57.66 | (3942) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2178_0 &
% 292.17/57.66 | $i(all_2178_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.66 | all_1631_18, all_2178_0) |
% 292.17/57.66 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2178_0,
% 292.17/57.66 | all_1601_5) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.66 | c_Transcendental_Opi, all_2178_0)) |
% 292.17/57.66 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2178_0,
% 292.17/57.66 | c_Transcendental_Opi) &
% 292.17/57.66 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1601_5,
% 292.17/57.66 | all_2178_0))) &
% 292.17/57.66 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1631_18,
% 292.17/57.66 | all_2178_0) | (( ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2178_0,
% 292.17/57.66 | all_1601_5) | ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.66 | c_Transcendental_Opi, all_2178_0)) & ( ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2178_0,
% 292.17/57.66 | c_Transcendental_Opi) | ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1601_5,
% 292.17/57.66 | all_2178_0))))
% 292.17/57.66 |
% 292.17/57.66 | ALPHA: (3942) implies:
% 292.17/57.66 | (3943) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2178_0
% 292.17/57.66 |
% 292.17/57.66 | DELTA: instantiating (3554) with fresh symbol all_2180_0 gives:
% 292.17/57.66 | (3944) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2180_0 &
% 292.17/57.66 | $i(all_2180_0) & ( ~
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1244_1,
% 292.17/57.66 | all_2180_0) |
% 292.17/57.66 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2180_0,
% 292.17/57.66 | all_957_0) &
% 292.17/57.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_y____,
% 292.17/57.66 | all_2180_0)) |
% 292.17/57.66 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2180_0,
% 292.17/57.67 | v_y____) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.67 | all_957_0, all_2180_0))) &
% 292.17/57.67 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1244_1,
% 292.17/57.67 | all_2180_0) | (( ~
% 292.17/57.67 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.67 | all_2180_0, all_957_0) | ~
% 292.17/57.67 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_y____,
% 292.17/57.67 | all_2180_0)) & ( ~
% 292.17/57.67 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.67 | all_2180_0, v_y____) | ~
% 292.17/57.67 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_957_0,
% 292.17/57.67 | all_2180_0))))
% 292.17/57.67 |
% 292.17/57.67 | ALPHA: (3944) implies:
% 292.17/57.67 | (3945) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2180_0
% 292.17/57.67 |
% 292.17/57.67 | DELTA: instantiating (3632) with fresh symbol all_2182_0 gives:
% 292.17/57.67 | (3946) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2182_0 &
% 292.17/57.67 | $i(all_2182_0) & ( ~
% 292.17/57.67 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2182_0,
% 292.17/57.67 | all_1631_18) |
% 292.17/57.67 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2182_0,
% 292.17/57.67 | all_1601_5) &
% 292.17/57.67 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2182_0,
% 292.17/57.67 | c_Transcendental_Opi)) |
% 292.17/57.67 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1601_5,
% 292.17/57.67 | all_2182_0) &
% 292.17/57.67 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.67 | c_Transcendental_Opi, all_2182_0))) &
% 292.17/57.67 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2182_0,
% 292.17/57.67 | all_1631_18) | (( ~
% 292.17/57.67 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.67 | all_2182_0, all_1601_5) | ~
% 292.17/57.67 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.67 | all_2182_0, c_Transcendental_Opi)) & ( ~
% 292.17/57.67 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.67 | all_1601_5, all_2182_0) | ~
% 292.17/57.67 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.67 | c_Transcendental_Opi, all_2182_0))))
% 292.17/57.67 |
% 292.17/57.67 | ALPHA: (3946) implies:
% 292.17/57.67 | (3947) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2182_0
% 292.17/57.67 |
% 292.17/57.67 | DELTA: instantiating (3657) with fresh symbol all_2184_0 gives:
% 292.17/57.67 | (3948) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2184_0 &
% 292.17/57.67 | $i(all_2184_0) & ( ~
% 292.17/57.67 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1631_1,
% 292.17/57.67 | all_2184_0) |
% 292.17/57.67 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2184_0,
% 292.17/57.67 | all_1631_2) &
% 292.17/57.67 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_635_0,
% 292.17/57.67 | all_2184_0)) |
% 292.17/57.67 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2184_0,
% 292.17/57.67 | all_635_0) &
% 292.17/57.67 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1631_2,
% 292.17/57.67 | all_2184_0))) &
% 292.17/57.67 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1631_1,
% 292.17/57.67 | all_2184_0) | (( ~
% 292.17/57.67 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.67 | all_2184_0, all_1631_2) | ~
% 292.17/57.67 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_635_0,
% 292.17/57.67 | all_2184_0)) & ( ~
% 292.17/57.67 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.67 | all_2184_0, all_635_0) | ~
% 292.17/57.67 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.67 | all_1631_2, all_2184_0))))
% 292.17/57.67 |
% 292.17/57.67 | ALPHA: (3948) implies:
% 292.17/57.67 | (3949) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2184_0
% 292.17/57.67 |
% 292.17/57.67 | DELTA: instantiating (3656) with fresh symbol all_2186_0 gives:
% 292.17/57.67 | (3950) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2186_0 &
% 292.17/57.67 | $i(all_2186_0) & ( ~
% 292.17/57.67 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2186_0,
% 292.17/57.67 | all_1631_1) |
% 292.17/57.67 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2186_0,
% 292.17/57.67 | all_1631_2) &
% 292.17/57.67 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2186_0,
% 292.17/57.67 | all_635_0)) |
% 292.17/57.67 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1631_2,
% 292.17/57.67 | all_2186_0) &
% 292.17/57.67 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_635_0,
% 292.17/57.67 | all_2186_0))) &
% 292.17/57.67 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2186_0,
% 292.17/57.67 | all_1631_1) | (( ~
% 292.17/57.67 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.67 | all_2186_0, all_1631_2) | ~
% 292.17/57.67 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.67 | all_2186_0, all_635_0)) & ( ~
% 292.17/57.67 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.67 | all_1631_2, all_2186_0) | ~
% 292.17/57.67 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_635_0,
% 292.17/57.67 | all_2186_0))))
% 292.17/57.67 |
% 292.17/57.67 | ALPHA: (3950) implies:
% 292.17/57.67 | (3951) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2186_0
% 292.17/57.67 |
% 292.17/57.67 | DELTA: instantiating (3644) with fresh symbol all_2188_0 gives:
% 292.17/57.67 | (3952) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2188_0 &
% 292.17/57.67 | $i(all_2188_0) & ( ~
% 292.17/57.67 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2188_0,
% 292.17/57.67 | all_1631_12) |
% 292.17/57.67 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2188_0,
% 292.17/57.67 | all_1631_13) &
% 292.17/57.67 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2188_0,
% 292.17/57.67 | all_635_0)) |
% 292.17/57.67 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1631_13,
% 292.17/57.67 | all_2188_0) &
% 292.17/57.67 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_635_0,
% 292.17/57.67 | all_2188_0))) &
% 292.17/57.67 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2188_0,
% 292.17/57.67 | all_1631_12) | (( ~
% 292.17/57.67 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.67 | all_2188_0, all_1631_13) | ~
% 292.17/57.67 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.67 | all_2188_0, all_635_0)) & ( ~
% 292.17/57.67 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.67 | all_1631_13, all_2188_0) | ~
% 292.17/57.67 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_635_0,
% 292.17/57.67 | all_2188_0))))
% 292.17/57.67 |
% 292.17/57.67 | ALPHA: (3952) implies:
% 292.17/57.67 | (3953) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2188_0
% 292.17/57.67 |
% 292.17/57.67 | DELTA: instantiating (3643) with fresh symbol all_2190_0 gives:
% 292.17/57.67 | (3954) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2190_0 &
% 292.17/57.67 | $i(all_2190_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.67 | all_1631_12, all_2190_0) |
% 292.17/57.67 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2190_0,
% 292.17/57.67 | all_1631_13) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.67 | all_635_0, all_2190_0)) |
% 292.17/57.67 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2190_0,
% 292.17/57.67 | all_635_0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.67 | all_1631_13, all_2190_0))) &
% 292.17/57.67 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1631_12,
% 292.17/57.67 | all_2190_0) | (( ~
% 292.17/57.67 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2190_0,
% 292.17/57.67 | all_1631_13) | ~
% 292.17/57.67 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_635_0,
% 292.17/57.67 | all_2190_0)) & ( ~
% 292.17/57.67 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2190_0,
% 292.17/57.67 | all_635_0) | ~
% 292.17/57.67 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1631_13,
% 292.17/57.67 | all_2190_0))))
% 292.17/57.67 |
% 292.17/57.67 | ALPHA: (3954) implies:
% 292.17/57.67 | (3955) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2190_0
% 292.17/57.67 |
% 292.17/57.67 | DELTA: instantiating (3630) with fresh symbol all_2192_0 gives:
% 292.17/57.67 | (3956) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2192_0 &
% 292.17/57.67 | $i(all_2192_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.67 | all_2192_0, all_1631_18) |
% 292.17/57.67 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2192_0,
% 292.17/57.67 | all_1601_5) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.67 | all_2192_0, c_Transcendental_Opi)) |
% 292.17/57.67 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1601_5,
% 292.17/57.67 | all_2192_0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.67 | c_Transcendental_Opi, all_2192_0))) &
% 292.17/57.67 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2192_0,
% 292.17/57.67 | all_1631_18) | (( ~
% 292.17/57.67 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2192_0,
% 292.17/57.67 | all_1601_5) | ~
% 292.17/57.67 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2192_0,
% 292.17/57.67 | c_Transcendental_Opi)) & ( ~
% 292.17/57.67 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1601_5,
% 292.17/57.67 | all_2192_0) | ~
% 292.17/57.67 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.67 | c_Transcendental_Opi, all_2192_0))))
% 292.17/57.67 |
% 292.17/57.67 | ALPHA: (3956) implies:
% 292.17/57.67 | (3957) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2192_0
% 292.17/57.67 |
% 292.17/57.67 | DELTA: instantiating (3655) with fresh symbol all_2194_0 gives:
% 292.17/57.67 | (3958) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2194_0 &
% 292.17/57.67 | $i(all_2194_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.67 | all_1631_1, all_2194_0) |
% 292.17/57.67 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2194_0,
% 292.17/57.67 | all_1631_2) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.67 | all_635_0, all_2194_0)) |
% 292.17/57.67 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2194_0,
% 292.17/57.67 | all_635_0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.67 | all_1631_2, all_2194_0))) &
% 292.17/57.67 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1631_1,
% 292.17/57.67 | all_2194_0) | (( ~
% 292.17/57.67 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2194_0,
% 292.17/57.67 | all_1631_2) | ~
% 292.17/57.67 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_635_0,
% 292.17/57.67 | all_2194_0)) & ( ~
% 292.17/57.67 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2194_0,
% 292.17/57.67 | all_635_0) | ~
% 292.17/57.67 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1631_2,
% 292.17/57.67 | all_2194_0))))
% 292.17/57.67 |
% 292.17/57.67 | ALPHA: (3958) implies:
% 292.17/57.67 | (3959) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2194_0
% 292.17/57.67 |
% 292.17/57.67 | DELTA: instantiating (3654) with fresh symbol all_2196_0 gives:
% 292.17/57.67 | (3960) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2196_0 &
% 292.17/57.67 | $i(all_2196_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.67 | all_2196_0, all_1631_1) |
% 292.17/57.67 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2196_0,
% 292.17/57.67 | all_1631_2) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.67 | all_2196_0, all_635_0)) |
% 292.17/57.67 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1631_2,
% 292.17/57.67 | all_2196_0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.67 | all_635_0, all_2196_0))) &
% 292.17/57.67 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2196_0,
% 292.17/57.67 | all_1631_1) | (( ~
% 292.17/57.67 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2196_0,
% 292.17/57.67 | all_1631_2) | ~
% 292.17/57.67 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2196_0,
% 292.17/57.67 | all_635_0)) & ( ~
% 292.17/57.67 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1631_2,
% 292.17/57.67 | all_2196_0) | ~
% 292.17/57.67 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_635_0,
% 292.17/57.67 | all_2196_0))))
% 292.17/57.67 |
% 292.17/57.67 | ALPHA: (3960) implies:
% 292.17/57.67 | (3961) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2196_0
% 292.17/57.67 |
% 292.17/57.67 | REDUCE: (2645), (3523) imply:
% 292.17/57.67 | (3962) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls,
% 292.17/57.67 | all_916_0)
% 292.17/57.67 |
% 292.17/57.67 | BETA: splitting (3893) gives:
% 292.17/57.67 |
% 292.17/57.67 | Case 1:
% 292.17/57.67 | |
% 292.17/57.67 | | (3963) ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin,
% 292.17/57.67 | | c_Int_OPls)
% 292.17/57.67 | |
% 292.17/57.67 | | PRED_UNIFY: (3502), (3963) imply:
% 292.17/57.67 | | (3964) $false
% 292.17/57.67 | |
% 292.17/57.67 | | CLOSE: (3964) is inconsistent.
% 292.17/57.67 | |
% 292.17/57.67 | Case 2:
% 292.17/57.67 | |
% 292.17/57.67 | | (3965) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2076_0 &
% 292.17/57.67 | | $i(all_2076_0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 292.17/57.67 | | all_1228_6, all_2076_0)
% 292.17/57.67 | |
% 292.17/57.67 | | ALPHA: (3965) implies:
% 292.17/57.67 | | (3966) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2076_0
% 292.17/57.67 | |
% 292.17/57.67 | | BETA: splitting (3901) gives:
% 292.17/57.67 | |
% 292.17/57.67 | | Case 1:
% 292.17/57.67 | | |
% 292.17/57.67 | | | (3967) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls,
% 292.17/57.67 | | | c_Int_OMin)
% 292.17/57.67 | | |
% 292.17/57.67 | | | PRED_UNIFY: (38), (3967) imply:
% 292.17/57.67 | | | (3968) $false
% 292.17/57.67 | | |
% 292.17/57.67 | | | CLOSE: (3968) is inconsistent.
% 292.17/57.67 | | |
% 292.17/57.67 | | Case 2:
% 292.17/57.67 | | |
% 292.17/57.67 | | | (3969) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2125_0 &
% 292.17/57.67 | | | $i(all_2125_0) & ~
% 292.17/57.67 | | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2125_0,
% 292.17/57.67 | | | all_1228_6)
% 292.17/57.67 | | |
% 292.17/57.67 | | | ALPHA: (3969) implies:
% 292.17/57.67 | | | (3970) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2125_0
% 292.17/57.67 | | |
% 292.17/57.67 | | | BETA: splitting (3903) gives:
% 292.17/57.67 | | |
% 292.17/57.67 | | | Case 1:
% 292.17/57.67 | | | |
% 292.17/57.67 | | | | (3971) ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin,
% 292.17/57.67 | | | | c_Int_OPls)
% 292.17/57.67 | | | |
% 292.17/57.67 | | | | PRED_UNIFY: (39), (3971) imply:
% 292.17/57.67 | | | | (3972) $false
% 292.17/57.67 | | | |
% 292.17/57.67 | | | | CLOSE: (3972) is inconsistent.
% 292.17/57.67 | | | |
% 292.17/57.67 | | | Case 2:
% 292.17/57.67 | | | |
% 292.17/57.67 | | | | (3973) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2127_0 &
% 292.17/57.67 | | | | $i(all_2127_0) &
% 292.17/57.67 | | | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.67 | | | | all_1228_6, all_2127_0)
% 292.17/57.67 | | | |
% 292.17/57.67 | | | | ALPHA: (3973) implies:
% 292.17/57.67 | | | | (3974) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2127_0
% 292.17/57.67 | | | |
% 292.17/57.67 | | | | BETA: splitting (3899) gives:
% 292.17/57.67 | | | |
% 292.17/57.67 | | | | Case 1:
% 292.17/57.67 | | | | |
% 292.17/57.67 | | | | | (3975) ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,
% 292.17/57.67 | | | | | c_Int_OPls, all_916_0)
% 292.17/57.67 | | | | |
% 292.17/57.67 | | | | | PRED_UNIFY: (3962), (3975) imply:
% 292.17/57.67 | | | | | (3976) $false
% 292.17/57.67 | | | | |
% 292.17/57.67 | | | | | CLOSE: (3976) is inconsistent.
% 292.17/57.67 | | | | |
% 292.17/57.67 | | | | Case 2:
% 292.17/57.67 | | | | |
% 292.17/57.67 | | | | | (3977) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2109_0 &
% 292.17/57.67 | | | | | $i(all_2109_0) &
% 292.17/57.67 | | | | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.17/57.67 | | | | | all_2109_0, all_957_0)
% 292.17/57.67 | | | | |
% 292.17/57.67 | | | | | ALPHA: (3977) implies:
% 292.17/57.67 | | | | | (3978) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2109_0
% 292.17/57.67 | | | | |
% 292.17/57.67 | | | | | GROUND_INST: instantiating (308) with all_631_0, all_1701_0,
% 292.17/57.67 | | | | | tc_RealDef_Oreal, simplifying with (315), (3665) gives:
% 292.17/57.67 | | | | | (3979) all_1701_0 = all_631_0
% 292.17/57.67 | | | | |
% 292.17/57.67 | | | | | GROUND_INST: instantiating (308) with all_1701_0, all_1703_0,
% 292.17/57.67 | | | | | tc_RealDef_Oreal, simplifying with (3665), (3667) gives:
% 292.17/57.67 | | | | | (3980) all_1703_0 = all_1701_0
% 292.17/57.67 | | | | |
% 292.17/57.67 | | | | | GROUND_INST: instantiating (308) with all_1703_0, all_1739_0,
% 292.17/57.67 | | | | | tc_RealDef_Oreal, simplifying with (3667), (3679) gives:
% 292.17/57.67 | | | | | (3981) all_1739_0 = all_1703_0
% 292.17/57.67 | | | | |
% 292.17/57.67 | | | | | GROUND_INST: instantiating (308) with all_1739_0, all_1757_0,
% 292.17/57.67 | | | | | tc_RealDef_Oreal, simplifying with (3679), (3683) gives:
% 292.17/57.67 | | | | | (3982) all_1757_0 = all_1739_0
% 292.17/57.67 | | | | |
% 292.17/57.67 | | | | | GROUND_INST: instantiating (308) with all_1735_0, all_1765_0,
% 292.17/57.67 | | | | | tc_RealDef_Oreal, simplifying with (3674), (3687) gives:
% 292.17/57.67 | | | | | (3983) all_1765_0 = all_1735_0
% 292.17/57.67 | | | | |
% 292.17/57.67 | | | | | GROUND_INST: instantiating (308) with all_1701_0, all_1773_0,
% 292.17/57.67 | | | | | tc_RealDef_Oreal, simplifying with (3665), (3691) gives:
% 292.17/57.67 | | | | | (3984) all_1773_0 = all_1701_0
% 292.17/57.67 | | | | |
% 292.17/57.67 | | | | | GROUND_INST: instantiating (308) with all_1765_0, all_1779_0,
% 292.17/57.67 | | | | | tc_RealDef_Oreal, simplifying with (3687), (3695) gives:
% 292.17/57.67 | | | | | (3985) all_1779_0 = all_1765_0
% 292.17/57.67 | | | | |
% 292.17/57.67 | | | | | GROUND_INST: instantiating (308) with all_1701_0, all_1783_0,
% 292.17/57.67 | | | | | tc_RealDef_Oreal, simplifying with (3665), (3699) gives:
% 292.17/57.67 | | | | | (3986) all_1783_0 = all_1701_0
% 292.17/57.67 | | | | |
% 292.17/57.67 | | | | | GROUND_INST: instantiating (308) with all_1779_0, all_1789_0,
% 292.17/57.67 | | | | | tc_RealDef_Oreal, simplifying with (3695), (3701) gives:
% 292.17/57.67 | | | | | (3987) all_1789_0 = all_1779_0
% 292.17/57.67 | | | | |
% 292.17/57.67 | | | | | GROUND_INST: instantiating (308) with all_1773_0, all_1791_0,
% 292.17/57.67 | | | | | tc_RealDef_Oreal, simplifying with (3691), (3703) gives:
% 292.17/57.67 | | | | | (3988) all_1791_0 = all_1773_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1819_0, all_1844_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3711), (3735) gives:
% 292.17/57.68 | | | | | (3989) all_1844_0 = all_1819_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1840_0, all_1855_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3731), (3743) gives:
% 292.17/57.68 | | | | | (3990) all_1855_0 = all_1840_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1789_0, all_1859_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3701), (3747) gives:
% 292.17/57.68 | | | | | (3991) all_1859_0 = all_1789_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1859_0, all_1861_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3747), (3749) gives:
% 292.17/57.68 | | | | | (3992) all_1861_0 = all_1859_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1757_0, all_1865_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3683), (3753) gives:
% 292.17/57.68 | | | | | (3993) all_1865_0 = all_1757_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1863_0, all_1867_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3751), (3755) gives:
% 292.17/57.68 | | | | | (3994) all_1867_0 = all_1863_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1867_0, all_1872_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3755), (3757) gives:
% 292.17/57.68 | | | | | (3995) all_1872_0 = all_1867_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1859_0, all_1878_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3747), (3761) gives:
% 292.17/57.68 | | | | | (3996) all_1878_0 = all_1859_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1851_0, all_1880_1,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3739), (3763) gives:
% 292.17/57.68 | | | | | (3997) all_1880_1 = all_1851_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1880_1, all_1882_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3763), (3765) gives:
% 292.17/57.68 | | | | | (3998) all_1882_0 = all_1880_1
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1861_0, all_1884_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3749), (3767) gives:
% 292.17/57.68 | | | | | (3999) all_1884_0 = all_1861_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1857_0, all_1884_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3745), (3767) gives:
% 292.17/57.68 | | | | | (4000) all_1884_0 = all_1857_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1847_0, all_1886_1,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3737), (3769) gives:
% 292.17/57.68 | | | | | (4001) all_1886_1 = all_1847_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1855_0, all_1892_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3743), (3773) gives:
% 292.17/57.68 | | | | | (4002) all_1892_0 = all_1855_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1863_0, all_1894_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3751), (3775) gives:
% 292.17/57.68 | | | | | (4003) all_1894_0 = all_1863_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1773_0, all_1894_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3691), (3775) gives:
% 292.17/57.68 | | | | | (4004) all_1894_0 = all_1773_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1878_0, all_1898_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3761), (3779) gives:
% 292.17/57.68 | | | | | (4005) all_1898_0 = all_1878_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1898_0, all_1900_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3779), (3781) gives:
% 292.17/57.68 | | | | | (4006) all_1900_0 = all_1898_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1834_0, all_1902_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3725), (3783) gives:
% 292.17/57.68 | | | | | (4007) all_1902_0 = all_1834_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1781_0, all_1902_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3697), (3783) gives:
% 292.17/57.68 | | | | | (4008) all_1902_0 = all_1781_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1872_0, all_1904_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3757), (3785) gives:
% 292.17/57.68 | | | | | (4009) all_1904_0 = all_1872_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1836_0, all_1908_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3727), (3789) gives:
% 292.17/57.68 | | | | | (4010) all_1908_0 = all_1836_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1892_0, all_1912_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3773), (3793) gives:
% 292.17/57.68 | | | | | (4011) all_1912_0 = all_1892_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1815_0, all_1912_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3707), (3793) gives:
% 292.17/57.68 | | | | | (4012) all_1912_0 = all_1815_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1900_0, all_1914_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3781), (3795) gives:
% 292.17/57.68 | | | | | (4013) all_1914_0 = all_1900_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1914_0, all_1918_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3795), (3799) gives:
% 292.17/57.68 | | | | | (4014) all_1918_0 = all_1914_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1918_0, all_1920_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3799), (3801) gives:
% 292.17/57.68 | | | | | (4015) all_1920_0 = all_1918_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1920_0, all_1922_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3801), (3803) gives:
% 292.17/57.68 | | | | | (4016) all_1922_0 = all_1920_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1836_0, all_1924_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3727), (3805) gives:
% 292.17/57.68 | | | | | (4017) all_1924_0 = all_1836_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1821_0, all_1924_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3713), (3805) gives:
% 292.17/57.68 | | | | | (4018) all_1924_0 = all_1821_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1904_0, all_1926_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3785), (3807) gives:
% 292.17/57.68 | | | | | (4019) all_1926_0 = all_1904_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1922_0, all_1930_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3803), (3811) gives:
% 292.17/57.68 | | | | | (4020) all_1930_0 = all_1922_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1844_0, all_1932_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3735), (3813) gives:
% 292.17/57.68 | | | | | (4021) all_1932_0 = all_1844_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1773_0, all_1934_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3691), (3815) gives:
% 292.17/57.68 | | | | | (4022) all_1934_0 = all_1773_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1737_0, all_1934_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3676), (3815) gives:
% 292.17/57.68 | | | | | (4023) all_1934_0 = all_1737_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1930_0, all_1936_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3811), (3817) gives:
% 292.17/57.68 | | | | | (4024) all_1936_0 = all_1930_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1886_1, all_1938_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3769), (3819) gives:
% 292.17/57.68 | | | | | (4025) all_1938_0 = all_1886_1
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1906_1, all_1940_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3787), (3821) gives:
% 292.17/57.68 | | | | | (4026) all_1940_0 = all_1906_1
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1865_0, all_1942_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3753), (3823) gives:
% 292.17/57.68 | | | | | (4027) all_1942_0 = all_1865_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1689_0, all_1942_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3661), (3823) gives:
% 292.17/57.68 | | | | | (4028) all_1942_0 = all_1689_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1853_0, all_1944_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3741), (3825) gives:
% 292.17/57.68 | | | | | (4029) all_1944_0 = all_1853_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1711_0, all_1944_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3672), (3825) gives:
% 292.17/57.68 | | | | | (4030) all_1944_0 = all_1711_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1896_0, all_1946_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3777), (3827) gives:
% 292.17/57.68 | | | | | (4031) all_1946_0 = all_1896_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1894_0, all_1948_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3775), (3829) gives:
% 292.17/57.68 | | | | | (4032) all_1948_0 = all_1894_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1938_0, all_1950_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3819), (3831) gives:
% 292.17/57.68 | | | | | (4033) all_1950_0 = all_1938_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1936_0, all_1952_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3817), (3833) gives:
% 292.17/57.68 | | | | | (4034) all_1952_0 = all_1936_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1926_0, all_1954_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3807), (3835) gives:
% 292.17/57.68 | | | | | (4035) all_1954_0 = all_1926_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1916_0, all_1957_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3797), (3837) gives:
% 292.17/57.68 | | | | | (4036) all_1957_0 = all_1916_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1908_0, all_1957_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3789), (3837) gives:
% 292.17/57.68 | | | | | (4037) all_1957_0 = all_1908_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1769_0, all_1957_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3689), (3837) gives:
% 292.17/57.68 | | | | | (4038) all_1957_0 = all_1769_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1902_0, all_1959_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3783), (3839) gives:
% 292.17/57.68 | | | | | (4039) all_1959_0 = all_1902_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1826_0, all_1959_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3717), (3839) gives:
% 292.17/57.68 | | | | | (4040) all_1959_0 = all_1826_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1783_0, all_1959_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3699), (3839) gives:
% 292.17/57.68 | | | | | (4041) all_1959_0 = all_1783_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1952_0, all_1965_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3833), (3843) gives:
% 292.17/57.68 | | | | | (4042) all_1965_0 = all_1952_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1830_0, all_1965_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3721), (3843) gives:
% 292.17/57.68 | | | | | (4043) all_1965_0 = all_1830_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1896_0, all_1967_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3777), (3845) gives:
% 292.17/57.68 | | | | | (4044) all_1967_0 = all_1896_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1878_0, all_1967_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3761), (3845) gives:
% 292.17/57.68 | | | | | (4045) all_1967_0 = all_1878_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1874_0, all_1967_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3759), (3845) gives:
% 292.17/57.68 | | | | | (4046) all_1967_0 = all_1874_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1859_0, all_1969_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3747), (3847) gives:
% 292.17/57.68 | | | | | (4047) all_1969_0 = all_1859_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1838_0, all_1969_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3729), (3847) gives:
% 292.17/57.68 | | | | | (4048) all_1969_0 = all_1838_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1934_0, all_1971_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3815), (3849) gives:
% 292.17/57.68 | | | | | (4049) all_1971_0 = all_1934_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1924_0, all_1973_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3805), (3851) gives:
% 292.17/57.68 | | | | | (4050) all_1973_0 = all_1924_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1817_0, all_1973_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3709), (3851) gives:
% 292.17/57.68 | | | | | (4051) all_1973_0 = all_1817_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1791_0, all_1973_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3703), (3851) gives:
% 292.17/57.68 | | | | | (4052) all_1973_0 = all_1791_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1969_0, all_1975_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3847), (3853) gives:
% 292.17/57.68 | | | | | (4053) all_1975_0 = all_1969_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1954_0, all_1977_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3835), (3855) gives:
% 292.17/57.68 | | | | | (4054) all_1977_0 = all_1954_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1948_0, all_1985_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3829), (3859) gives:
% 292.17/57.68 | | | | | (4055) all_1985_0 = all_1948_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1940_0, all_1987_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3821), (3861) gives:
% 292.17/57.68 | | | | | (4056) all_1987_0 = all_1940_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1859_0, all_1989_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3747), (3863) gives:
% 292.17/57.68 | | | | | (4057) all_1989_0 = all_1859_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1847_0, all_1989_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3737), (3863) gives:
% 292.17/57.68 | | | | | (4058) all_1989_0 = all_1847_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1842_0, all_1989_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3733), (3863) gives:
% 292.17/57.68 | | | | | (4059) all_1989_0 = all_1842_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1971_0, all_1992_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3849), (3865) gives:
% 292.17/57.68 | | | | | (4060) all_1992_0 = all_1971_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1992_0, all_2001_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3865), (3869) gives:
% 292.17/57.68 | | | | | (4061) all_2001_0 = all_1992_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_2001_0, all_2004_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3869), (3871) gives:
% 292.17/57.68 | | | | | (4062) all_2004_0 = all_2001_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1997_0, all_2011_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3867), (3873) gives:
% 292.17/57.68 | | | | | (4063) all_2011_0 = all_1997_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_2011_0, all_2024_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3873), (3875) gives:
% 292.17/57.68 | | | | | (4064) all_2024_0 = all_2011_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1977_0, all_2028_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3855), (3877) gives:
% 292.17/57.68 | | | | | (4065) all_2028_0 = all_1977_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_2028_0, all_2030_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3877), (3879) gives:
% 292.17/57.68 | | | | | (4066) all_2030_0 = all_2028_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1997_0, all_2036_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3867), (3881) gives:
% 292.17/57.68 | | | | | (4067) all_2036_0 = all_1997_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1981_0, all_2036_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3857), (3881) gives:
% 292.17/57.68 | | | | | (4068) all_2036_0 = all_1981_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1975_0, all_2036_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3853), (3881) gives:
% 292.17/57.68 | | | | | (4069) all_2036_0 = all_1975_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_2030_0, all_2044_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3879), (3883) gives:
% 292.17/57.68 | | | | | (4070) all_2044_0 = all_2030_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_2044_0, all_2049_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3883), (3885) gives:
% 292.17/57.68 | | | | | (4071) all_2049_0 = all_2044_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_2049_0, all_2051_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3885), (3887) gives:
% 292.17/57.68 | | | | | (4072) all_2051_0 = all_2049_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1906_1, all_2063_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3787), (3889) gives:
% 292.17/57.68 | | | | | (4073) all_2063_0 = all_1906_1
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1890_1, all_2063_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3771), (3889) gives:
% 292.17/57.68 | | | | | (4074) all_2063_0 = all_1890_1
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1882_0, all_2063_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3765), (3889) gives:
% 292.17/57.68 | | | | | (4075) all_2063_0 = all_1882_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1840_0, all_2065_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3731), (3891) gives:
% 292.17/57.68 | | | | | (4076) all_2065_0 = all_1840_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1832_0, all_2065_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3723), (3891) gives:
% 292.17/57.68 | | | | | (4077) all_2065_0 = all_1832_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1783_0, all_2065_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3699), (3891) gives:
% 292.17/57.68 | | | | | (4078) all_2065_0 = all_1783_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1985_0, all_2076_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3859), (3966) gives:
% 292.17/57.68 | | | | | (4079) all_2076_0 = all_1985_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1946_0, all_2079_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3827), (3895) gives:
% 292.17/57.68 | | | | | (4080) all_2079_0 = all_1946_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1950_0, all_2084_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3831), (3897) gives:
% 292.17/57.68 | | | | | (4081) all_2084_0 = all_1950_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_2084_0, all_2109_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3897), (3978) gives:
% 292.17/57.68 | | | | | (4082) all_2109_0 = all_2084_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_2024_0, all_2125_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3875), (3970) gives:
% 292.17/57.68 | | | | | (4083) all_2125_0 = all_2024_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_2125_0, all_2127_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3970), (3974) gives:
% 292.17/57.68 | | | | | (4084) all_2127_0 = all_2125_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1940_0, all_2131_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3821), (3905) gives:
% 292.17/57.68 | | | | | (4085) all_2131_0 = all_1940_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1928_0, all_2131_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3809), (3905) gives:
% 292.17/57.68 | | | | | (4086) all_2131_0 = all_1928_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_2127_0, all_2133_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3907), (3974) gives:
% 292.17/57.68 | | | | | (4087) all_2133_0 = all_2127_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_2051_0, all_2136_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3887), (3909) gives:
% 292.17/57.68 | | | | | (4088) all_2136_0 = all_2051_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_2109_0, all_2140_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3911), (3978) gives:
% 292.17/57.68 | | | | | (4089) all_2140_0 = all_2109_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_2136_0, all_2145_1,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3909), (3915) gives:
% 292.17/57.68 | | | | | (4090) all_2145_1 = all_2136_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1697_0, all_2145_1,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3663), (3915) gives:
% 292.17/57.68 | | | | | (4091) all_2145_1 = all_1697_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_2143_0, all_2147_1,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3913), (3917) gives:
% 292.17/57.68 | | | | | (4092) all_2147_1 = all_2143_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1853_0, all_2147_1,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3741), (3917) gives:
% 292.17/57.68 | | | | | (4093) all_2147_1 = all_1853_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1828_0, all_2147_1,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3719), (3917) gives:
% 292.17/57.68 | | | | | (4094) all_2147_1 = all_1828_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1783_0, all_2147_1,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3699), (3917) gives:
% 292.17/57.68 | | | | | (4095) all_2147_1 = all_1783_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1735_0, all_2147_1,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3674), (3917) gives:
% 292.17/57.68 | | | | | (4096) all_2147_1 = all_1735_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_2140_0, all_2151_1,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3911), (3919) gives:
% 292.17/57.68 | | | | | (4097) all_2151_1 = all_2140_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_2133_0, all_2153_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3907), (3921) gives:
% 292.17/57.68 | | | | | (4098) all_2153_0 = all_2133_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_2153_0, all_2155_1,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3921), (3923) gives:
% 292.17/57.68 | | | | | (4099) all_2155_1 = all_2153_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_2004_0, all_2158_1,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3871), (3925) gives:
% 292.17/57.68 | | | | | (4100) all_2158_1 = all_2004_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_2158_1, all_2162_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3925), (3927) gives:
% 292.17/57.68 | | | | | (4101) all_2162_0 = all_2158_1
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_2162_0, all_2166_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3927), (3931) gives:
% 292.17/57.68 | | | | | (4102) all_2166_0 = all_2162_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_2076_0, all_2168_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3933), (3966) gives:
% 292.17/57.68 | | | | | (4103) all_2168_0 = all_2076_0
% 292.17/57.68 | | | | |
% 292.17/57.68 | | | | | GROUND_INST: instantiating (308) with all_1932_0, all_2170_0,
% 292.17/57.68 | | | | | tc_RealDef_Oreal, simplifying with (3813), (3935) gives:
% 292.17/57.68 | | | | | (4104) all_2170_0 = all_1932_0
% 292.17/57.68 | | | | |
% 292.17/57.69 | | | | | GROUND_INST: instantiating (308) with all_2166_0, all_2172_0,
% 292.17/57.69 | | | | | tc_RealDef_Oreal, simplifying with (3931), (3937) gives:
% 292.17/57.69 | | | | | (4105) all_2172_0 = all_2166_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | GROUND_INST: instantiating (308) with all_2168_0, all_2174_0,
% 292.17/57.69 | | | | | tc_RealDef_Oreal, simplifying with (3933), (3939) gives:
% 292.17/57.69 | | | | | (4106) all_2174_0 = all_2168_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | GROUND_INST: instantiating (308) with all_1775_0, all_2174_0,
% 292.17/57.69 | | | | | tc_RealDef_Oreal, simplifying with (3693), (3939) gives:
% 292.17/57.69 | | | | | (4107) all_2174_0 = all_1775_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | GROUND_INST: instantiating (308) with all_2170_0, all_2176_0,
% 292.17/57.69 | | | | | tc_RealDef_Oreal, simplifying with (3935), (3941) gives:
% 292.17/57.69 | | | | | (4108) all_2176_0 = all_2170_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | GROUND_INST: instantiating (308) with all_1687_0, all_2176_0,
% 292.17/57.69 | | | | | tc_RealDef_Oreal, simplifying with (3659), (3941) gives:
% 292.17/57.69 | | | | | (4109) all_2176_0 = all_1687_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | GROUND_INST: instantiating (308) with all_2172_0, all_2178_0,
% 292.17/57.69 | | | | | tc_RealDef_Oreal, simplifying with (3937), (3943) gives:
% 292.17/57.69 | | | | | (4110) all_2178_0 = all_2172_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | GROUND_INST: instantiating (308) with all_2079_0, all_2180_0,
% 292.17/57.69 | | | | | tc_RealDef_Oreal, simplifying with (3895), (3945) gives:
% 292.17/57.69 | | | | | (4111) all_2180_0 = all_2079_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | GROUND_INST: instantiating (308) with all_2180_0, all_2182_0,
% 292.17/57.69 | | | | | tc_RealDef_Oreal, simplifying with (3945), (3947) gives:
% 292.17/57.69 | | | | | (4112) all_2182_0 = all_2180_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | GROUND_INST: instantiating (308) with all_1755_0, all_2182_0,
% 292.17/57.69 | | | | | tc_RealDef_Oreal, simplifying with (3681), (3947) gives:
% 292.17/57.69 | | | | | (4113) all_2182_0 = all_1755_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | GROUND_INST: instantiating (308) with all_1819_0, all_2184_0,
% 292.17/57.69 | | | | | tc_RealDef_Oreal, simplifying with (3711), (3949) gives:
% 292.17/57.69 | | | | | (4114) all_2184_0 = all_1819_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | GROUND_INST: instantiating (308) with all_1765_0, all_2184_0,
% 292.17/57.69 | | | | | tc_RealDef_Oreal, simplifying with (3687), (3949) gives:
% 292.17/57.69 | | | | | (4115) all_2184_0 = all_1765_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | GROUND_INST: instantiating (308) with all_1763_0, all_2184_0,
% 292.17/57.69 | | | | | tc_RealDef_Oreal, simplifying with (3685), (3949) gives:
% 292.17/57.69 | | | | | (4116) all_2184_0 = all_1763_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | GROUND_INST: instantiating (308) with all_2065_0, all_2186_0,
% 292.17/57.69 | | | | | tc_RealDef_Oreal, simplifying with (3891), (3951) gives:
% 292.17/57.69 | | | | | (4117) all_2186_0 = all_2065_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | GROUND_INST: instantiating (308) with all_1851_0, all_2186_0,
% 292.17/57.69 | | | | | tc_RealDef_Oreal, simplifying with (3739), (3951) gives:
% 292.17/57.69 | | | | | (4118) all_2186_0 = all_1851_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | GROUND_INST: instantiating (308) with all_1823_0, all_2186_0,
% 292.17/57.69 | | | | | tc_RealDef_Oreal, simplifying with (3715), (3951) gives:
% 292.17/57.69 | | | | | (4119) all_2186_0 = all_1823_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | GROUND_INST: instantiating (308) with all_2178_0, all_2188_0,
% 292.17/57.69 | | | | | tc_RealDef_Oreal, simplifying with (3943), (3953) gives:
% 292.17/57.69 | | | | | (4120) all_2188_0 = all_2178_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | GROUND_INST: instantiating (308) with all_1910_0, all_2188_0,
% 292.17/57.69 | | | | | tc_RealDef_Oreal, simplifying with (3791), (3953) gives:
% 292.17/57.69 | | | | | (4121) all_2188_0 = all_1910_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | GROUND_INST: instantiating (308) with all_2155_1, all_2190_0,
% 292.17/57.69 | | | | | tc_RealDef_Oreal, simplifying with (3923), (3955) gives:
% 292.17/57.69 | | | | | (4122) all_2190_0 = all_2155_1
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | GROUND_INST: instantiating (308) with all_1961_0, all_2190_0,
% 292.17/57.69 | | | | | tc_RealDef_Oreal, simplifying with (3841), (3955) gives:
% 292.17/57.69 | | | | | (4123) all_2190_0 = all_1961_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | GROUND_INST: instantiating (308) with all_1705_0, all_2192_0,
% 292.17/57.69 | | | | | tc_RealDef_Oreal, simplifying with (3669), (3957) gives:
% 292.17/57.69 | | | | | (4124) all_2192_0 = all_1705_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | GROUND_INST: instantiating (308) with all_2192_0, all_2194_0,
% 292.17/57.69 | | | | | tc_RealDef_Oreal, simplifying with (3957), (3959) gives:
% 292.17/57.69 | | | | | (4125) all_2194_0 = all_2192_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | GROUND_INST: instantiating (308) with all_2164_0, all_2194_0,
% 292.17/57.69 | | | | | tc_RealDef_Oreal, simplifying with (3929), (3959) gives:
% 292.17/57.69 | | | | | (4126) all_2194_0 = all_2164_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | GROUND_INST: instantiating (308) with all_1987_0, all_2194_0,
% 292.17/57.69 | | | | | tc_RealDef_Oreal, simplifying with (3861), (3959) gives:
% 292.17/57.69 | | | | | (4127) all_2194_0 = all_1987_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | GROUND_INST: instantiating (308) with all_2151_1, all_2196_0,
% 292.17/57.69 | | | | | tc_RealDef_Oreal, simplifying with (3919), (3961) gives:
% 292.17/57.69 | | | | | (4128) all_2196_0 = all_2151_1
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | GROUND_INST: instantiating (308) with all_1813_1, all_2196_0,
% 292.17/57.69 | | | | | tc_RealDef_Oreal, simplifying with (3705), (3961) gives:
% 292.17/57.69 | | | | | (4129) all_2196_0 = all_1813_1
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4128), (4129) imply:
% 292.17/57.69 | | | | | (4130) all_2151_1 = all_1813_1
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4130) implies:
% 292.17/57.69 | | | | | (4131) all_2151_1 = all_1813_1
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4125), (4126) imply:
% 292.17/57.69 | | | | | (4132) all_2192_0 = all_2164_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4132) implies:
% 292.17/57.69 | | | | | (4133) all_2192_0 = all_2164_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4126), (4127) imply:
% 292.17/57.69 | | | | | (4134) all_2164_0 = all_1987_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4124), (4133) imply:
% 292.17/57.69 | | | | | (4135) all_2164_0 = all_1705_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4135) implies:
% 292.17/57.69 | | | | | (4136) all_2164_0 = all_1705_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4122), (4123) imply:
% 292.17/57.69 | | | | | (4137) all_2155_1 = all_1961_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4137) implies:
% 292.17/57.69 | | | | | (4138) all_2155_1 = all_1961_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4120), (4121) imply:
% 292.17/57.69 | | | | | (4139) all_2178_0 = all_1910_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4139) implies:
% 292.17/57.69 | | | | | (4140) all_2178_0 = all_1910_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4117), (4119) imply:
% 292.17/57.69 | | | | | (4141) all_2065_0 = all_1823_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4141) implies:
% 292.17/57.69 | | | | | (4142) all_2065_0 = all_1823_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4118), (4119) imply:
% 292.17/57.69 | | | | | (4143) all_1851_0 = all_1823_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4143) implies:
% 292.17/57.69 | | | | | (4144) all_1851_0 = all_1823_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4115), (4116) imply:
% 292.17/57.69 | | | | | (4145) all_1765_0 = all_1763_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4145) implies:
% 292.17/57.69 | | | | | (4146) all_1765_0 = all_1763_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4114), (4116) imply:
% 292.17/57.69 | | | | | (4147) all_1819_0 = all_1763_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4147) implies:
% 292.17/57.69 | | | | | (4148) all_1819_0 = all_1763_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4112), (4113) imply:
% 292.17/57.69 | | | | | (4149) all_2180_0 = all_1755_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4149) implies:
% 292.17/57.69 | | | | | (4150) all_2180_0 = all_1755_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4111), (4150) imply:
% 292.17/57.69 | | | | | (4151) all_2079_0 = all_1755_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4151) implies:
% 292.17/57.69 | | | | | (4152) all_2079_0 = all_1755_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4110), (4140) imply:
% 292.17/57.69 | | | | | (4153) all_2172_0 = all_1910_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4153) implies:
% 292.17/57.69 | | | | | (4154) all_2172_0 = all_1910_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4108), (4109) imply:
% 292.17/57.69 | | | | | (4155) all_2170_0 = all_1687_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4155) implies:
% 292.17/57.69 | | | | | (4156) all_2170_0 = all_1687_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4106), (4107) imply:
% 292.17/57.69 | | | | | (4157) all_2168_0 = all_1775_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4157) implies:
% 292.17/57.69 | | | | | (4158) all_2168_0 = all_1775_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4105), (4154) imply:
% 292.17/57.69 | | | | | (4159) all_2166_0 = all_1910_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4159) implies:
% 292.17/57.69 | | | | | (4160) all_2166_0 = all_1910_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4104), (4156) imply:
% 292.17/57.69 | | | | | (4161) all_1932_0 = all_1687_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4161) implies:
% 292.17/57.69 | | | | | (4162) all_1932_0 = all_1687_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4103), (4158) imply:
% 292.17/57.69 | | | | | (4163) all_2076_0 = all_1775_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4163) implies:
% 292.17/57.69 | | | | | (4164) all_2076_0 = all_1775_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4102), (4160) imply:
% 292.17/57.69 | | | | | (4165) all_2162_0 = all_1910_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4165) implies:
% 292.17/57.69 | | | | | (4166) all_2162_0 = all_1910_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4134), (4136) imply:
% 292.17/57.69 | | | | | (4167) all_1987_0 = all_1705_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4167) implies:
% 292.17/57.69 | | | | | (4168) all_1987_0 = all_1705_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4101), (4166) imply:
% 292.17/57.69 | | | | | (4169) all_2158_1 = all_1910_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4169) implies:
% 292.17/57.69 | | | | | (4170) all_2158_1 = all_1910_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4100), (4170) imply:
% 292.17/57.69 | | | | | (4171) all_2004_0 = all_1910_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4171) implies:
% 292.17/57.69 | | | | | (4172) all_2004_0 = all_1910_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4099), (4138) imply:
% 292.17/57.69 | | | | | (4173) all_2153_0 = all_1961_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4173) implies:
% 292.17/57.69 | | | | | (4174) all_2153_0 = all_1961_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4098), (4174) imply:
% 292.17/57.69 | | | | | (4175) all_2133_0 = all_1961_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4175) implies:
% 292.17/57.69 | | | | | (4176) all_2133_0 = all_1961_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4097), (4131) imply:
% 292.17/57.69 | | | | | (4177) all_2140_0 = all_1813_1
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4177) implies:
% 292.17/57.69 | | | | | (4178) all_2140_0 = all_1813_1
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4092), (4095) imply:
% 292.17/57.69 | | | | | (4179) all_2143_0 = all_1783_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4092), (4096) imply:
% 292.17/57.69 | | | | | (4180) all_2143_0 = all_1735_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4092), (4094) imply:
% 292.17/57.69 | | | | | (4181) all_2143_0 = all_1828_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4092), (4093) imply:
% 292.17/57.69 | | | | | (4182) all_2143_0 = all_1853_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4090), (4091) imply:
% 292.17/57.69 | | | | | (4183) all_2136_0 = all_1697_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4183) implies:
% 292.17/57.69 | | | | | (4184) all_2136_0 = all_1697_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4179), (4181) imply:
% 292.17/57.69 | | | | | (4185) all_1828_0 = all_1783_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4180), (4181) imply:
% 292.17/57.69 | | | | | (4186) all_1828_0 = all_1735_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4181), (4182) imply:
% 292.17/57.69 | | | | | (4187) all_1853_0 = all_1828_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4187) implies:
% 292.17/57.69 | | | | | (4188) all_1853_0 = all_1828_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4089), (4178) imply:
% 292.17/57.69 | | | | | (4189) all_2109_0 = all_1813_1
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4189) implies:
% 292.17/57.69 | | | | | (4190) all_2109_0 = all_1813_1
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4088), (4184) imply:
% 292.17/57.69 | | | | | (4191) all_2051_0 = all_1697_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4191) implies:
% 292.17/57.69 | | | | | (4192) all_2051_0 = all_1697_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4087), (4176) imply:
% 292.17/57.69 | | | | | (4193) all_2127_0 = all_1961_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4193) implies:
% 292.17/57.69 | | | | | (4194) all_2127_0 = all_1961_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4085), (4086) imply:
% 292.17/57.69 | | | | | (4195) all_1940_0 = all_1928_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4195) implies:
% 292.17/57.69 | | | | | (4196) all_1940_0 = all_1928_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4084), (4194) imply:
% 292.17/57.69 | | | | | (4197) all_2125_0 = all_1961_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4197) implies:
% 292.17/57.69 | | | | | (4198) all_2125_0 = all_1961_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4083), (4198) imply:
% 292.17/57.69 | | | | | (4199) all_2024_0 = all_1961_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4199) implies:
% 292.17/57.69 | | | | | (4200) all_2024_0 = all_1961_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4082), (4190) imply:
% 292.17/57.69 | | | | | (4201) all_2084_0 = all_1813_1
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4201) implies:
% 292.17/57.69 | | | | | (4202) all_2084_0 = all_1813_1
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4081), (4202) imply:
% 292.17/57.69 | | | | | (4203) all_1950_0 = all_1813_1
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4203) implies:
% 292.17/57.69 | | | | | (4204) all_1950_0 = all_1813_1
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4080), (4152) imply:
% 292.17/57.69 | | | | | (4205) all_1946_0 = all_1755_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4205) implies:
% 292.17/57.69 | | | | | (4206) all_1946_0 = all_1755_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4079), (4164) imply:
% 292.17/57.69 | | | | | (4207) all_1985_0 = all_1775_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4207) implies:
% 292.17/57.69 | | | | | (4208) all_1985_0 = all_1775_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4077), (4078) imply:
% 292.17/57.69 | | | | | (4209) all_1832_0 = all_1783_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4077), (4142) imply:
% 292.17/57.69 | | | | | (4210) all_1832_0 = all_1823_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4076), (4077) imply:
% 292.17/57.69 | | | | | (4211) all_1840_0 = all_1832_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4211) implies:
% 292.17/57.69 | | | | | (4212) all_1840_0 = all_1832_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4074), (4075) imply:
% 292.17/57.69 | | | | | (4213) all_1890_1 = all_1882_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4073), (4074) imply:
% 292.17/57.69 | | | | | (4214) all_1906_1 = all_1890_1
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4214) implies:
% 292.17/57.69 | | | | | (4215) all_1906_1 = all_1890_1
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4072), (4192) imply:
% 292.17/57.69 | | | | | (4216) all_2049_0 = all_1697_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4216) implies:
% 292.17/57.69 | | | | | (4217) all_2049_0 = all_1697_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4071), (4217) imply:
% 292.17/57.69 | | | | | (4218) all_2044_0 = all_1697_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4218) implies:
% 292.17/57.69 | | | | | (4219) all_2044_0 = all_1697_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4070), (4219) imply:
% 292.17/57.69 | | | | | (4220) all_2030_0 = all_1697_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4220) implies:
% 292.17/57.69 | | | | | (4221) all_2030_0 = all_1697_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4067), (4068) imply:
% 292.17/57.69 | | | | | (4222) all_1997_0 = all_1981_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4222) implies:
% 292.17/57.69 | | | | | (4223) all_1997_0 = all_1981_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4068), (4069) imply:
% 292.17/57.69 | | | | | (4224) all_1981_0 = all_1975_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4066), (4221) imply:
% 292.17/57.69 | | | | | (4225) all_2028_0 = all_1697_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4225) implies:
% 292.17/57.69 | | | | | (4226) all_2028_0 = all_1697_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4065), (4226) imply:
% 292.17/57.69 | | | | | (4227) all_1977_0 = all_1697_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4227) implies:
% 292.17/57.69 | | | | | (4228) all_1977_0 = all_1697_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4064), (4200) imply:
% 292.17/57.69 | | | | | (4229) all_2011_0 = all_1961_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4229) implies:
% 292.17/57.69 | | | | | (4230) all_2011_0 = all_1961_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4063), (4230) imply:
% 292.17/57.69 | | | | | (4231) all_1997_0 = all_1961_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4231) implies:
% 292.17/57.69 | | | | | (4232) all_1997_0 = all_1961_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4062), (4172) imply:
% 292.17/57.69 | | | | | (4233) all_2001_0 = all_1910_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4233) implies:
% 292.17/57.69 | | | | | (4234) all_2001_0 = all_1910_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4061), (4234) imply:
% 292.17/57.69 | | | | | (4235) all_1992_0 = all_1910_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4235) implies:
% 292.17/57.69 | | | | | (4236) all_1992_0 = all_1910_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4223), (4232) imply:
% 292.17/57.69 | | | | | (4237) all_1981_0 = all_1961_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4237) implies:
% 292.17/57.69 | | | | | (4238) all_1981_0 = all_1961_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4060), (4236) imply:
% 292.17/57.69 | | | | | (4239) all_1971_0 = all_1910_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4239) implies:
% 292.17/57.69 | | | | | (4240) all_1971_0 = all_1910_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4058), (4059) imply:
% 292.17/57.69 | | | | | (4241) all_1847_0 = all_1842_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4241) implies:
% 292.17/57.69 | | | | | (4242) all_1847_0 = all_1842_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4057), (4059) imply:
% 292.17/57.69 | | | | | (4243) all_1859_0 = all_1842_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4243) implies:
% 292.17/57.69 | | | | | (4244) all_1859_0 = all_1842_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4056), (4168) imply:
% 292.17/57.69 | | | | | (4245) all_1940_0 = all_1705_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4245) implies:
% 292.17/57.69 | | | | | (4246) all_1940_0 = all_1705_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4055), (4208) imply:
% 292.17/57.69 | | | | | (4247) all_1948_0 = all_1775_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4247) implies:
% 292.17/57.69 | | | | | (4248) all_1948_0 = all_1775_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4224), (4238) imply:
% 292.17/57.69 | | | | | (4249) all_1975_0 = all_1961_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4249) implies:
% 292.17/57.69 | | | | | (4250) all_1975_0 = all_1961_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4054), (4228) imply:
% 292.17/57.69 | | | | | (4251) all_1954_0 = all_1697_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4251) implies:
% 292.17/57.69 | | | | | (4252) all_1954_0 = all_1697_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4053), (4250) imply:
% 292.17/57.69 | | | | | (4253) all_1969_0 = all_1961_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4253) implies:
% 292.17/57.69 | | | | | (4254) all_1969_0 = all_1961_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4051), (4052) imply:
% 292.17/57.69 | | | | | (4255) all_1817_0 = all_1791_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4050), (4051) imply:
% 292.17/57.69 | | | | | (4256) all_1924_0 = all_1817_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4256) implies:
% 292.17/57.69 | | | | | (4257) all_1924_0 = all_1817_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4049), (4240) imply:
% 292.17/57.69 | | | | | (4258) all_1934_0 = all_1910_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4258) implies:
% 292.17/57.69 | | | | | (4259) all_1934_0 = all_1910_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4047), (4254) imply:
% 292.17/57.69 | | | | | (4260) all_1961_0 = all_1859_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4048), (4254) imply:
% 292.17/57.69 | | | | | (4261) all_1961_0 = all_1838_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4045), (4046) imply:
% 292.17/57.69 | | | | | (4262) all_1878_0 = all_1874_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4262) implies:
% 292.17/57.69 | | | | | (4263) all_1878_0 = all_1874_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4044), (4046) imply:
% 292.17/57.69 | | | | | (4264) all_1896_0 = all_1874_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4264) implies:
% 292.17/57.69 | | | | | (4265) all_1896_0 = all_1874_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4042), (4043) imply:
% 292.17/57.69 | | | | | (4266) all_1952_0 = all_1830_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4266) implies:
% 292.17/57.69 | | | | | (4267) all_1952_0 = all_1830_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4260), (4261) imply:
% 292.17/57.69 | | | | | (4268) all_1859_0 = all_1838_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4268) implies:
% 292.17/57.69 | | | | | (4269) all_1859_0 = all_1838_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4039), (4040) imply:
% 292.17/57.69 | | | | | (4270) all_1902_0 = all_1826_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4270) implies:
% 292.17/57.69 | | | | | (4271) all_1902_0 = all_1826_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4040), (4041) imply:
% 292.17/57.69 | | | | | (4272) all_1826_0 = all_1783_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4036), (4037) imply:
% 292.17/57.69 | | | | | (4273) all_1916_0 = all_1908_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4036), (4038) imply:
% 292.17/57.69 | | | | | (4274) all_1916_0 = all_1769_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4035), (4252) imply:
% 292.17/57.69 | | | | | (4275) all_1926_0 = all_1697_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4275) implies:
% 292.17/57.69 | | | | | (4276) all_1926_0 = all_1697_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4034), (4267) imply:
% 292.17/57.69 | | | | | (4277) all_1936_0 = all_1830_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4277) implies:
% 292.17/57.69 | | | | | (4278) all_1936_0 = all_1830_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4033), (4204) imply:
% 292.17/57.69 | | | | | (4279) all_1938_0 = all_1813_1
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4279) implies:
% 292.17/57.69 | | | | | (4280) all_1938_0 = all_1813_1
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4032), (4248) imply:
% 292.17/57.69 | | | | | (4281) all_1894_0 = all_1775_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4281) implies:
% 292.17/57.69 | | | | | (4282) all_1894_0 = all_1775_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4031), (4206) imply:
% 292.17/57.69 | | | | | (4283) all_1896_0 = all_1755_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4283) implies:
% 292.17/57.69 | | | | | (4284) all_1896_0 = all_1755_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4029), (4030) imply:
% 292.17/57.69 | | | | | (4285) all_1853_0 = all_1711_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4285) implies:
% 292.17/57.69 | | | | | (4286) all_1853_0 = all_1711_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4027), (4028) imply:
% 292.17/57.69 | | | | | (4287) all_1865_0 = all_1689_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4287) implies:
% 292.17/57.69 | | | | | (4288) all_1865_0 = all_1689_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4026), (4196) imply:
% 292.17/57.69 | | | | | (4289) all_1928_0 = all_1906_1
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4196), (4246) imply:
% 292.17/57.69 | | | | | (4290) all_1928_0 = all_1705_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4025), (4280) imply:
% 292.17/57.69 | | | | | (4291) all_1886_1 = all_1813_1
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4291) implies:
% 292.17/57.69 | | | | | (4292) all_1886_1 = all_1813_1
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4024), (4278) imply:
% 292.17/57.69 | | | | | (4293) all_1930_0 = all_1830_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4293) implies:
% 292.17/57.69 | | | | | (4294) all_1930_0 = all_1830_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4022), (4259) imply:
% 292.17/57.69 | | | | | (4295) all_1910_0 = all_1773_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4023), (4259) imply:
% 292.17/57.69 | | | | | (4296) all_1910_0 = all_1737_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4021), (4162) imply:
% 292.17/57.69 | | | | | (4297) all_1844_0 = all_1687_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4297) implies:
% 292.17/57.69 | | | | | (4298) all_1844_0 = all_1687_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4020), (4294) imply:
% 292.17/57.69 | | | | | (4299) all_1922_0 = all_1830_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4299) implies:
% 292.17/57.69 | | | | | (4300) all_1922_0 = all_1830_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4289), (4290) imply:
% 292.17/57.69 | | | | | (4301) all_1906_1 = all_1705_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4301) implies:
% 292.17/57.69 | | | | | (4302) all_1906_1 = all_1705_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4019), (4276) imply:
% 292.17/57.69 | | | | | (4303) all_1904_0 = all_1697_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | SIMP: (4303) implies:
% 292.17/57.69 | | | | | (4304) all_1904_0 = all_1697_0
% 292.17/57.69 | | | | |
% 292.17/57.69 | | | | | COMBINE_EQS: (4017), (4018) imply:
% 292.38/57.69 | | | | | (4305) all_1836_0 = all_1821_0
% 292.38/57.69 | | | | |
% 292.38/57.69 | | | | | SIMP: (4305) implies:
% 292.38/57.69 | | | | | (4306) all_1836_0 = all_1821_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4018), (4257) imply:
% 292.38/57.70 | | | | | (4307) all_1821_0 = all_1817_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4016), (4300) imply:
% 292.38/57.70 | | | | | (4308) all_1920_0 = all_1830_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4308) implies:
% 292.38/57.70 | | | | | (4309) all_1920_0 = all_1830_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4015), (4309) imply:
% 292.38/57.70 | | | | | (4310) all_1918_0 = all_1830_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4310) implies:
% 292.38/57.70 | | | | | (4311) all_1918_0 = all_1830_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4014), (4311) imply:
% 292.38/57.70 | | | | | (4312) all_1914_0 = all_1830_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4312) implies:
% 292.38/57.70 | | | | | (4313) all_1914_0 = all_1830_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4273), (4274) imply:
% 292.38/57.70 | | | | | (4314) all_1908_0 = all_1769_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4314) implies:
% 292.38/57.70 | | | | | (4315) all_1908_0 = all_1769_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4013), (4313) imply:
% 292.38/57.70 | | | | | (4316) all_1900_0 = all_1830_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4316) implies:
% 292.38/57.70 | | | | | (4317) all_1900_0 = all_1830_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4011), (4012) imply:
% 292.38/57.70 | | | | | (4318) all_1892_0 = all_1815_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4318) implies:
% 292.38/57.70 | | | | | (4319) all_1892_0 = all_1815_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4295), (4296) imply:
% 292.38/57.70 | | | | | (4320) all_1773_0 = all_1737_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4320) implies:
% 292.38/57.70 | | | | | (4321) all_1773_0 = all_1737_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4010), (4315) imply:
% 292.38/57.70 | | | | | (4322) all_1836_0 = all_1769_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4322) implies:
% 292.38/57.70 | | | | | (4323) all_1836_0 = all_1769_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4215), (4302) imply:
% 292.38/57.70 | | | | | (4324) all_1890_1 = all_1705_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4324) implies:
% 292.38/57.70 | | | | | (4325) all_1890_1 = all_1705_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4009), (4304) imply:
% 292.38/57.70 | | | | | (4326) all_1872_0 = all_1697_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4326) implies:
% 292.38/57.70 | | | | | (4327) all_1872_0 = all_1697_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4007), (4008) imply:
% 292.38/57.70 | | | | | (4328) all_1834_0 = all_1781_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4007), (4271) imply:
% 292.38/57.70 | | | | | (4329) all_1834_0 = all_1826_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4006), (4317) imply:
% 292.38/57.70 | | | | | (4330) all_1898_0 = all_1830_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4330) implies:
% 292.38/57.70 | | | | | (4331) all_1898_0 = all_1830_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4005), (4331) imply:
% 292.38/57.70 | | | | | (4332) all_1878_0 = all_1830_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4332) implies:
% 292.38/57.70 | | | | | (4333) all_1878_0 = all_1830_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4265), (4284) imply:
% 292.38/57.70 | | | | | (4334) all_1874_0 = all_1755_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4334) implies:
% 292.38/57.70 | | | | | (4335) all_1874_0 = all_1755_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4004), (4282) imply:
% 292.38/57.70 | | | | | (4336) all_1775_0 = all_1773_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4003), (4282) imply:
% 292.38/57.70 | | | | | (4337) all_1863_0 = all_1775_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4337) implies:
% 292.38/57.70 | | | | | (4338) all_1863_0 = all_1775_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4002), (4319) imply:
% 292.38/57.70 | | | | | (4339) all_1855_0 = all_1815_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4339) implies:
% 292.38/57.70 | | | | | (4340) all_1855_0 = all_1815_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4213), (4325) imply:
% 292.38/57.70 | | | | | (4341) all_1882_0 = all_1705_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4341) implies:
% 292.38/57.70 | | | | | (4342) all_1882_0 = all_1705_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4001), (4292) imply:
% 292.38/57.70 | | | | | (4343) all_1847_0 = all_1813_1
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4343) implies:
% 292.38/57.70 | | | | | (4344) all_1847_0 = all_1813_1
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (3999), (4000) imply:
% 292.38/57.70 | | | | | (4345) all_1861_0 = all_1857_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4345) implies:
% 292.38/57.70 | | | | | (4346) all_1861_0 = all_1857_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (3998), (4342) imply:
% 292.38/57.70 | | | | | (4347) all_1880_1 = all_1705_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4347) implies:
% 292.38/57.70 | | | | | (4348) all_1880_1 = all_1705_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (3997), (4348) imply:
% 292.38/57.70 | | | | | (4349) all_1851_0 = all_1705_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4349) implies:
% 292.38/57.70 | | | | | (4350) all_1851_0 = all_1705_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (3996), (4333) imply:
% 292.38/57.70 | | | | | (4351) all_1859_0 = all_1830_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4351) implies:
% 292.38/57.70 | | | | | (4352) all_1859_0 = all_1830_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4263), (4333) imply:
% 292.38/57.70 | | | | | (4353) all_1874_0 = all_1830_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4353) implies:
% 292.38/57.70 | | | | | (4354) all_1874_0 = all_1830_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4335), (4354) imply:
% 292.38/57.70 | | | | | (4355) all_1830_0 = all_1755_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4355) implies:
% 292.38/57.70 | | | | | (4356) all_1830_0 = all_1755_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (3995), (4327) imply:
% 292.38/57.70 | | | | | (4357) all_1867_0 = all_1697_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4357) implies:
% 292.38/57.70 | | | | | (4358) all_1867_0 = all_1697_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (3994), (4358) imply:
% 292.38/57.70 | | | | | (4359) all_1863_0 = all_1697_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4359) implies:
% 292.38/57.70 | | | | | (4360) all_1863_0 = all_1697_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (3993), (4288) imply:
% 292.38/57.70 | | | | | (4361) all_1757_0 = all_1689_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4361) implies:
% 292.38/57.70 | | | | | (4362) all_1757_0 = all_1689_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4338), (4360) imply:
% 292.38/57.70 | | | | | (4363) all_1775_0 = all_1697_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4363) implies:
% 292.38/57.70 | | | | | (4364) all_1775_0 = all_1697_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (3992), (4346) imply:
% 292.38/57.70 | | | | | (4365) all_1859_0 = all_1857_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4365) implies:
% 292.38/57.70 | | | | | (4366) all_1859_0 = all_1857_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (3991), (4366) imply:
% 292.38/57.70 | | | | | (4367) all_1857_0 = all_1789_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4244), (4366) imply:
% 292.38/57.70 | | | | | (4368) all_1857_0 = all_1842_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4352), (4366) imply:
% 292.38/57.70 | | | | | (4369) all_1857_0 = all_1830_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4269), (4366) imply:
% 292.38/57.70 | | | | | (4370) all_1857_0 = all_1838_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4368), (4370) imply:
% 292.38/57.70 | | | | | (4371) all_1842_0 = all_1838_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4371) implies:
% 292.38/57.70 | | | | | (4372) all_1842_0 = all_1838_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4367), (4370) imply:
% 292.38/57.70 | | | | | (4373) all_1838_0 = all_1789_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4369), (4370) imply:
% 292.38/57.70 | | | | | (4374) all_1838_0 = all_1830_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (3990), (4340) imply:
% 292.38/57.70 | | | | | (4375) all_1840_0 = all_1815_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4375) implies:
% 292.38/57.70 | | | | | (4376) all_1840_0 = all_1815_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4188), (4286) imply:
% 292.38/57.70 | | | | | (4377) all_1828_0 = all_1711_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4377) implies:
% 292.38/57.70 | | | | | (4378) all_1828_0 = all_1711_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4144), (4350) imply:
% 292.38/57.70 | | | | | (4379) all_1823_0 = all_1705_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4379) implies:
% 292.38/57.70 | | | | | (4380) all_1823_0 = all_1705_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4242), (4344) imply:
% 292.38/57.70 | | | | | (4381) all_1842_0 = all_1813_1
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4381) implies:
% 292.38/57.70 | | | | | (4382) all_1842_0 = all_1813_1
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (3989), (4298) imply:
% 292.38/57.70 | | | | | (4383) all_1819_0 = all_1687_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4383) implies:
% 292.38/57.70 | | | | | (4384) all_1819_0 = all_1687_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4372), (4382) imply:
% 292.38/57.70 | | | | | (4385) all_1838_0 = all_1813_1
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4385) implies:
% 292.38/57.70 | | | | | (4386) all_1838_0 = all_1813_1
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4212), (4376) imply:
% 292.38/57.70 | | | | | (4387) all_1832_0 = all_1815_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4387) implies:
% 292.38/57.70 | | | | | (4388) all_1832_0 = all_1815_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4373), (4386) imply:
% 292.38/57.70 | | | | | (4389) all_1813_1 = all_1789_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4374), (4386) imply:
% 292.38/57.70 | | | | | (4390) all_1830_0 = all_1813_1
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4390) implies:
% 292.38/57.70 | | | | | (4391) all_1830_0 = all_1813_1
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4306), (4323) imply:
% 292.38/57.70 | | | | | (4392) all_1821_0 = all_1769_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4392) implies:
% 292.38/57.70 | | | | | (4393) all_1821_0 = all_1769_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4328), (4329) imply:
% 292.38/57.70 | | | | | (4394) all_1826_0 = all_1781_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4394) implies:
% 292.38/57.70 | | | | | (4395) all_1826_0 = all_1781_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4210), (4388) imply:
% 292.38/57.70 | | | | | (4396) all_1823_0 = all_1815_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4396) implies:
% 292.38/57.70 | | | | | (4397) all_1823_0 = all_1815_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4209), (4388) imply:
% 292.38/57.70 | | | | | (4398) all_1815_0 = all_1783_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4356), (4391) imply:
% 292.38/57.70 | | | | | (4399) all_1813_1 = all_1755_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4399) implies:
% 292.38/57.70 | | | | | (4400) all_1813_1 = all_1755_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4186), (4378) imply:
% 292.38/57.70 | | | | | (4401) all_1735_0 = all_1711_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4401) implies:
% 292.38/57.70 | | | | | (4402) all_1735_0 = all_1711_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4185), (4378) imply:
% 292.38/57.70 | | | | | (4403) all_1783_0 = all_1711_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4403) implies:
% 292.38/57.70 | | | | | (4404) all_1783_0 = all_1711_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4272), (4395) imply:
% 292.38/57.70 | | | | | (4405) all_1783_0 = all_1781_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4405) implies:
% 292.38/57.70 | | | | | (4406) all_1783_0 = all_1781_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4380), (4397) imply:
% 292.38/57.70 | | | | | (4407) all_1815_0 = all_1705_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4407) implies:
% 292.38/57.70 | | | | | (4408) all_1815_0 = all_1705_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4307), (4393) imply:
% 292.38/57.70 | | | | | (4409) all_1817_0 = all_1769_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4409) implies:
% 292.38/57.70 | | | | | (4410) all_1817_0 = all_1769_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4148), (4384) imply:
% 292.38/57.70 | | | | | (4411) all_1763_0 = all_1687_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4411) implies:
% 292.38/57.70 | | | | | (4412) all_1763_0 = all_1687_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4255), (4410) imply:
% 292.38/57.70 | | | | | (4413) all_1791_0 = all_1769_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4413) implies:
% 292.38/57.70 | | | | | (4414) all_1791_0 = all_1769_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4398), (4408) imply:
% 292.38/57.70 | | | | | (4415) all_1783_0 = all_1705_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4415) implies:
% 292.38/57.70 | | | | | (4416) all_1783_0 = all_1705_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4389), (4400) imply:
% 292.38/57.70 | | | | | (4417) all_1789_0 = all_1755_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4417) implies:
% 292.38/57.70 | | | | | (4418) all_1789_0 = all_1755_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (3988), (4414) imply:
% 292.38/57.70 | | | | | (4419) all_1773_0 = all_1769_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4419) implies:
% 292.38/57.70 | | | | | (4420) all_1773_0 = all_1769_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (3987), (4418) imply:
% 292.38/57.70 | | | | | (4421) all_1779_0 = all_1755_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4421) implies:
% 292.38/57.70 | | | | | (4422) all_1779_0 = all_1755_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4404), (4406) imply:
% 292.38/57.70 | | | | | (4423) all_1781_0 = all_1711_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (3986), (4406) imply:
% 292.38/57.70 | | | | | (4424) all_1781_0 = all_1701_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4406), (4416) imply:
% 292.38/57.70 | | | | | (4425) all_1781_0 = all_1705_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4424), (4425) imply:
% 292.38/57.70 | | | | | (4426) all_1705_0 = all_1701_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4423), (4425) imply:
% 292.38/57.70 | | | | | (4427) all_1711_0 = all_1705_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4427) implies:
% 292.38/57.70 | | | | | (4428) all_1711_0 = all_1705_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (3985), (4422) imply:
% 292.38/57.70 | | | | | (4429) all_1765_0 = all_1755_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4429) implies:
% 292.38/57.70 | | | | | (4430) all_1765_0 = all_1755_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4336), (4364) imply:
% 292.38/57.70 | | | | | (4431) all_1773_0 = all_1697_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4431) implies:
% 292.38/57.70 | | | | | (4432) all_1773_0 = all_1697_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (3984), (4420) imply:
% 292.38/57.70 | | | | | (4433) all_1769_0 = all_1701_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4420), (4432) imply:
% 292.38/57.70 | | | | | (4434) all_1769_0 = all_1697_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4321), (4420) imply:
% 292.38/57.70 | | | | | (4435) all_1769_0 = all_1737_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4433), (4435) imply:
% 292.38/57.70 | | | | | (4436) all_1737_0 = all_1701_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4434), (4435) imply:
% 292.38/57.70 | | | | | (4437) all_1737_0 = all_1697_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (3983), (4430) imply:
% 292.38/57.70 | | | | | (4438) all_1755_0 = all_1735_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4146), (4430) imply:
% 292.38/57.70 | | | | | (4439) all_1763_0 = all_1755_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4439) implies:
% 292.38/57.70 | | | | | (4440) all_1763_0 = all_1755_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4412), (4440) imply:
% 292.38/57.70 | | | | | (4441) all_1755_0 = all_1687_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4441) implies:
% 292.38/57.70 | | | | | (4442) all_1755_0 = all_1687_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (3982), (4362) imply:
% 292.38/57.70 | | | | | (4443) all_1739_0 = all_1689_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4443) implies:
% 292.38/57.70 | | | | | (4444) all_1739_0 = all_1689_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4438), (4442) imply:
% 292.38/57.70 | | | | | (4445) all_1735_0 = all_1687_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4445) implies:
% 292.38/57.70 | | | | | (4446) all_1735_0 = all_1687_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (3981), (4444) imply:
% 292.38/57.70 | | | | | (4447) all_1703_0 = all_1689_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4447) implies:
% 292.38/57.70 | | | | | (4448) all_1703_0 = all_1689_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4436), (4437) imply:
% 292.38/57.70 | | | | | (4449) all_1701_0 = all_1697_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4449) implies:
% 292.38/57.70 | | | | | (4450) all_1701_0 = all_1697_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4402), (4446) imply:
% 292.38/57.70 | | | | | (4451) all_1711_0 = all_1687_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4451) implies:
% 292.38/57.70 | | | | | (4452) all_1711_0 = all_1687_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4428), (4452) imply:
% 292.38/57.70 | | | | | (4453) all_1705_0 = all_1687_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4453) implies:
% 292.38/57.70 | | | | | (4454) all_1705_0 = all_1687_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4426), (4454) imply:
% 292.38/57.70 | | | | | (4455) all_1701_0 = all_1687_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4455) implies:
% 292.38/57.70 | | | | | (4456) all_1701_0 = all_1687_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (3980), (4448) imply:
% 292.38/57.70 | | | | | (4457) all_1701_0 = all_1689_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | SIMP: (4457) implies:
% 292.38/57.70 | | | | | (4458) all_1701_0 = all_1689_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (3979), (4450) imply:
% 292.38/57.70 | | | | | (4459) all_1697_0 = all_631_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4450), (4458) imply:
% 292.38/57.70 | | | | | (4460) all_1697_0 = all_1689_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4450), (4456) imply:
% 292.38/57.70 | | | | | (4461) all_1697_0 = all_1687_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4459), (4460) imply:
% 292.38/57.70 | | | | | (4462) all_1689_0 = all_631_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4460), (4461) imply:
% 292.38/57.70 | | | | | (4463) all_1689_0 = all_1687_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4462), (4463) imply:
% 292.38/57.70 | | | | | (4464) all_1687_0 = all_631_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4452), (4464) imply:
% 292.38/57.70 | | | | | (4465) all_1711_0 = all_631_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | COMBINE_EQS: (4444), (4462) imply:
% 292.38/57.70 | | | | | (4466) all_1739_0 = all_631_0
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | REDUCE: (3671), (4465) imply:
% 292.38/57.70 | | | | | (4467) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.38/57.70 | | | | | all_631_0, all_1311_1)
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | REDUCE: (3678), (4466) imply:
% 292.38/57.70 | | | | | (4468) ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 292.38/57.70 | | | | | all_631_0, all_1311_1)
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | PRED_UNIFY: (4467), (4468) imply:
% 292.38/57.70 | | | | | (4469) $false
% 292.38/57.70 | | | | |
% 292.38/57.70 | | | | | CLOSE: (4469) is inconsistent.
% 292.38/57.70 | | | | |
% 292.38/57.73 | | | | End of split
% 292.38/57.73 | | | |
% 292.38/57.73 | | | End of split
% 292.38/57.73 | | |
% 292.38/57.73 | | End of split
% 292.38/57.73 | |
% 292.38/57.73 | End of split
% 292.38/57.73 |
% 292.38/57.73 End of proof
% 292.38/57.73 % SZS output end Proof for theBenchmark
% 292.38/57.73
% 292.38/57.73 57109ms
%------------------------------------------------------------------------------