TSTP Solution File: SWW262+1 by Princess---230619
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWW262+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 00:49:37 EDT 2023
% Result : Theorem 65.92s 9.44s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW262+1 : TPTP v8.1.2. Released v5.2.0.
% 0.11/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n017.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Aug 27 19:49:57 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.61 ________ _____
% 0.20/0.61 ___ __ \_________(_)________________________________
% 0.20/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.61
% 0.20/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.61 (2023-06-19)
% 0.20/0.61
% 0.20/0.61 (c) Philipp Rümmer, 2009-2023
% 0.20/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.61 Amanda Stjerna.
% 0.20/0.61 Free software under BSD-3-Clause.
% 0.20/0.61
% 0.20/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.61
% 0.20/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.20/0.63 Running up to 7 provers in parallel.
% 0.20/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 19.50/3.38 Prover 4: Preprocessing ...
% 19.89/3.41 Prover 1: Preprocessing ...
% 19.89/3.42 Prover 6: Preprocessing ...
% 19.89/3.43 Prover 2: Preprocessing ...
% 19.89/3.43 Prover 0: Preprocessing ...
% 19.89/3.44 Prover 5: Preprocessing ...
% 20.72/3.54 Prover 3: Preprocessing ...
% 53.95/7.84 Prover 1: Warning: ignoring some quantifiers
% 54.64/7.93 Prover 3: Warning: ignoring some quantifiers
% 55.88/8.09 Prover 3: Constructing countermodel ...
% 55.88/8.10 Prover 1: Constructing countermodel ...
% 56.37/8.23 Prover 6: Proving ...
% 62.20/8.98 Prover 4: Warning: ignoring some quantifiers
% 65.20/9.35 Prover 4: Constructing countermodel ...
% 65.92/9.43 Prover 3: proved (8794ms)
% 65.92/9.43
% 65.92/9.44 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 65.92/9.44
% 65.92/9.45 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 65.92/9.49 Prover 6: stopped
% 65.92/9.50 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 66.93/9.61 Prover 5: Proving ...
% 66.93/9.62 Prover 5: stopped
% 66.93/9.63 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 70.72/10.14 Prover 0: Proving ...
% 70.72/10.14 Prover 0: stopped
% 70.72/10.14 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 78.19/11.05 Prover 8: Preprocessing ...
% 78.19/11.05 Prover 10: Preprocessing ...
% 78.19/11.05 Prover 2: Proving ...
% 78.19/11.05 Prover 2: stopped
% 78.39/11.06 Prover 7: Preprocessing ...
% 78.39/11.06 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 80.75/11.48 Prover 11: Preprocessing ...
% 84.67/11.90 Prover 13: Preprocessing ...
% 93.97/13.13 Prover 8: Warning: ignoring some quantifiers
% 94.75/13.22 Prover 10: Warning: ignoring some quantifiers
% 95.96/13.33 Prover 8: Constructing countermodel ...
% 97.07/13.53 Prover 10: Constructing countermodel ...
% 97.07/13.54 Prover 7: Warning: ignoring some quantifiers
% 100.06/13.87 Prover 7: Constructing countermodel ...
% 103.56/14.39 Prover 11: Warning: ignoring some quantifiers
% 103.56/14.40 Prover 13: Warning: ignoring some quantifiers
% 105.94/14.70 Prover 11: Constructing countermodel ...
% 106.71/14.72 Prover 13: Constructing countermodel ...
% 110.97/15.32 Prover 13: stopped
% 111.42/15.34 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 116.52/16.06 Prover 1: stopped
% 116.52/16.06 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 121.75/16.75 Prover 16: Preprocessing ...
% 124.32/17.07 Prover 19: Preprocessing ...
% 135.78/18.55 Prover 16: Warning: ignoring some quantifiers
% 136.67/18.71 Prover 16: Constructing countermodel ...
% 139.31/19.03 Prover 19: Warning: ignoring some quantifiers
% 140.59/19.20 Prover 19: Constructing countermodel ...
% 150.48/20.46 Prover 16: stopped
% 165.00/22.34 Prover 19: stopped
% 204.12/27.97 Prover 4: stopped
% 211.66/29.55 Prover 7: stopped
% 263.55/40.99 Prover 11: stopped
% 265.09/41.77 Prover 8: stopped
% 292.12/62.68 Prover 10: Found proof (size 3128)
% 292.12/62.68 Prover 10: proved (53052ms)
% 292.12/62.68
% 292.12/62.68 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 292.12/62.68
% 297.10/67.21 % SZS output start Proof for theBenchmark
% 297.19/67.24 Assumptions after simplification:
% 297.19/67.24 ---------------------------------
% 297.19/67.24
% 297.19/67.24 (arity_Complex__Ocomplex__RealVector_Oreal__normed__vector)
% 297.21/67.24 $i(tc_Complex_Ocomplex) &
% 297.21/67.24 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)
% 297.21/67.24
% 297.21/67.24 (arity_RealDef__Oreal__Fields_Olinordered__field)
% 297.21/67.24 $i(tc_RealDef_Oreal) & class_Fields_Olinordered__field(tc_RealDef_Oreal)
% 297.21/67.24
% 297.21/67.24 (arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero)
% 297.21/67.24 $i(tc_RealDef_Oreal) &
% 297.21/67.24 class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal)
% 297.21/67.24
% 297.21/67.24 (arity_RealDef__Oreal__Groups_Ogroup__add)
% 297.21/67.24 $i(tc_RealDef_Oreal) & class_Groups_Ogroup__add(tc_RealDef_Oreal)
% 297.21/67.24
% 297.21/67.24 (arity_RealDef__Oreal__Groups_Olinordered__ab__group__add)
% 297.21/67.24 $i(tc_RealDef_Oreal) &
% 297.21/67.24 class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal)
% 297.21/67.24
% 297.21/67.24 (arity_RealDef__Oreal__Groups_Omonoid__mult)
% 297.21/67.25 $i(tc_RealDef_Oreal) & class_Groups_Omonoid__mult(tc_RealDef_Oreal)
% 297.21/67.25
% 297.21/67.25 (arity_RealDef__Oreal__Groups_Oordered__ab__group__add)
% 297.21/67.25 $i(tc_RealDef_Oreal) & class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal)
% 297.21/67.25
% 297.21/67.25 (arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs)
% 297.21/67.25 $i(tc_RealDef_Oreal) &
% 297.21/67.25 class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal)
% 297.21/67.25
% 297.21/67.25 (arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add)
% 297.21/67.25 $i(tc_RealDef_Oreal) &
% 297.21/67.25 class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal)
% 297.21/67.25
% 297.21/67.25 (arity_RealDef__Oreal__Power_Opower)
% 297.21/67.25 $i(tc_RealDef_Oreal) & class_Power_Opower(tc_RealDef_Oreal)
% 297.21/67.25
% 297.21/67.25 (arity_RealDef__Oreal__Rings_Odivision__ring)
% 297.21/67.25 $i(tc_RealDef_Oreal) & class_Rings_Odivision__ring(tc_RealDef_Oreal)
% 297.21/67.25
% 297.21/67.25 (arity_RealDef__Oreal__Rings_Odivision__ring__inverse__zero)
% 297.21/67.25 $i(tc_RealDef_Oreal) &
% 297.21/67.25 class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal)
% 297.21/67.25
% 297.21/67.25 (arity_RealDef__Oreal__Rings_Olinordered__ring__strict)
% 297.21/67.25 $i(tc_RealDef_Oreal) & class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal)
% 297.21/67.25
% 297.21/67.25 (arity_RealDef__Oreal__Rings_Olinordered__semidom)
% 297.21/67.25 $i(tc_RealDef_Oreal) & class_Rings_Olinordered__semidom(tc_RealDef_Oreal)
% 297.21/67.25
% 297.21/67.25 (arity_RealDef__Oreal__Rings_Olinordered__semiring__strict)
% 297.21/67.25 $i(tc_RealDef_Oreal) &
% 297.21/67.25 class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal)
% 297.21/67.25
% 297.21/67.25 (arity_RealDef__Oreal__Rings_Omult__zero)
% 297.21/67.25 $i(tc_RealDef_Oreal) & class_Rings_Omult__zero(tc_RealDef_Oreal)
% 297.21/67.25
% 297.21/67.25 (arity_RealDef__Oreal__Rings_Ono__zero__divisors)
% 297.21/67.25 $i(tc_RealDef_Oreal) & class_Rings_Ono__zero__divisors(tc_RealDef_Oreal)
% 297.21/67.25
% 297.21/67.25 (arity_RealDef__Oreal__Rings_Oordered__cancel__semiring)
% 297.21/67.25 $i(tc_RealDef_Oreal) &
% 297.21/67.25 class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal)
% 297.21/67.25
% 297.21/67.25 (arity_RealDef__Oreal__Rings_Oordered__ring)
% 297.21/67.25 $i(tc_RealDef_Oreal) & class_Rings_Oordered__ring(tc_RealDef_Oreal)
% 297.21/67.25
% 297.21/67.25 (arity_RealDef__Oreal__Rings_Oring__1__no__zero__divisors)
% 297.21/67.25 $i(tc_RealDef_Oreal) &
% 297.21/67.25 class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal)
% 297.21/67.25
% 297.21/67.25 (arity_RealDef__Oreal__Rings_Oring__no__zero__divisors)
% 297.21/67.25 $i(tc_RealDef_Oreal) & class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal)
% 297.21/67.25
% 297.21/67.25 (arity_RealDef__Oreal__Rings_Ozero__neq__one)
% 297.21/67.25 $i(tc_RealDef_Oreal) & class_Rings_Ozero__neq__one(tc_RealDef_Oreal)
% 297.21/67.25
% 297.21/67.25 (conj_0)
% 297.21/67.27 $i(v_m____) & $i(tc_Nat_Onat) & $i(v_w____) & $i(tc_Complex_Ocomplex) &
% 297.21/67.27 $i(v_k____) & $i(v_t____) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 297.21/67.27 ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7:
% 297.21/67.27 $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i]
% 297.21/67.28 : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] :
% 297.21/67.28 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 297.21/67.28 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v6 &
% 297.21/67.28 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, v8) = v9 &
% 297.21/67.28 c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v1 &
% 297.21/67.28 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v8 &
% 297.21/67.28 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v15 & hAPP(v11, v_m____) = v12
% 297.21/67.28 & hAPP(v7, v9) = v10 & hAPP(v5, v12) = v13 & hAPP(v4, v15) = v16 & hAPP(v4,
% 297.21/67.28 v13) = v14 & hAPP(v2, v_k____) = v3 & hAPP(v1, v6) = v7 & hAPP(v1,
% 297.21/67.28 v_t____) = v2 & hAPP(v0, v10) = v11 & hAPP(v0, v3) = v4 & hAPP(v0,
% 297.21/67.28 v_t____) = v5 & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11)
% 297.21/67.28 & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 297.21/67.28 $i(v2) & $i(v1) & $i(v0) & ~
% 297.21/67.28 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v14, v16))
% 297.21/67.28
% 297.21/67.28 (fact_Bseq__inverse__lemma)
% 297.21/67.28 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 297.21/67.28 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 297.21/67.28 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 297.21/67.28 (c_Rings_Oinverse__class_Oinverse(v3, v1) = v4) | ~
% 297.21/67.28 (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v2) = v6) | ~
% 297.21/67.28 (c_RealVector_Onorm__class_Onorm(v3, v4) = v5) | ~ $i(v3) | ~ $i(v2) |
% 297.21/67.28 ~ $i(v1) | ~ class_RealVector_Oreal__normed__div__algebra(v3) | ~
% 297.21/67.28 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) |
% 297.21/67.28 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v6) | ? [v7: $i]
% 297.21/67.28 : (c_RealVector_Onorm__class_Onorm(v3, v1) = v7 & $i(v7) & ~
% 297.21/67.28 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v7))))
% 297.21/67.28
% 297.21/67.28 (fact_INVERSE__ZERO)
% 297.21/67.28 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 297.21/67.28 (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v0) = v0 &
% 297.21/67.28 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0))
% 297.21/67.28
% 297.21/67.28 (fact_LIMSEQ__inverse__realpow__zero__lemma)
% 297.21/67.28 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 297.21/67.28 $i] : ? [v3: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 297.21/67.28 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 297.21/67.28 c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v3 &
% 297.21/67.28 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v2 & $i(v3) & $i(v2) & $i(v1)
% 297.21/67.28 & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8:
% 297.21/67.28 $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v2) = v6) |
% 297.21/67.28 ~ (hAPP(v7, v4) = v8) | ~ (hAPP(v3, v6) = v7) | ~ $i(v5) | ~ $i(v4) |
% 297.21/67.28 ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v5) | ? [v9:
% 297.21/67.28 $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] :
% 297.21/67.28 (c_RealDef_Oreal(tc_Nat_Onat, v4) = v9 &
% 297.21/67.28 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v11, v2) = v12 & hAPP(v10,
% 297.21/67.28 v5) = v11 & hAPP(v1, v9) = v10 & $i(v12) & $i(v11) & $i(v10) & $i(v9)
% 297.21/67.28 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v12, v8))))
% 297.21/67.28
% 297.21/67.28 (fact__0960_A_060_At_A_094_Ak_096)
% 297.21/67.28 $i(v_k____) & $i(v_t____) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 297.21/67.28 ? [v2: $i] : ? [v3: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 297.21/67.28 v0 & c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v1 & hAPP(v2, v_k____)
% 297.21/67.28 = v3 & hAPP(v1, v_t____) = v2 & $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 297.21/67.28 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3))
% 297.21/67.28
% 297.21/67.28 (fact__0961_A_L_Acomplex__of__real_At_A_094_Ak_A_K_A_Iw_A_094_Ak_A_K_Aa_J_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_Kpoly_As_A_Icomplex__of__real_At_A_K_Aw_J_A_061complex__of__real_A_I1_A_N_At_A_094_Ak_J_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_Kpoly_As_A_Icomplex__of__real_At_A_K_Aw_J_096)
% 297.21/67.29 $i(v_s____) & $i(v_a____) & $i(v_w____) & $i(tc_Complex_Ocomplex) &
% 297.21/67.29 $i(v_k____) & $i(v_t____) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 297.21/67.29 ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7:
% 297.21/67.29 $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i]
% 297.21/67.29 : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] :
% 297.21/67.29 ? [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 297.21/67.29 [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ?
% 297.21/67.29 [v28: $i] : ? [v29: $i] : (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) =
% 297.21/67.29 v20 & c_RealVector_Oof__real(tc_Complex_Ocomplex, v28) = v29 &
% 297.21/67.29 c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = v3 &
% 297.21/67.29 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v24, v27) = v28 &
% 297.21/67.29 c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v1 &
% 297.21/67.29 c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v29, v22) = v23 &
% 297.21/67.29 c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v12, v22) = v23 &
% 297.21/67.29 c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v0, v11) = v12 &
% 297.21/67.29 c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v2 &
% 297.21/67.29 c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v25 &
% 297.21/67.29 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 &
% 297.21/67.29 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v24 & hAPP(v26, v_k____) = v27
% 297.21/67.29 & hAPP(v25, v_t____) = v26 & hAPP(v20, v14) = v21 & hAPP(v19, v21) = v22 &
% 297.21/67.29 hAPP(v17, v14) = v18 & hAPP(v15, v_k____) = v16 & hAPP(v13, v_w____) = v14 &
% 297.21/67.29 hAPP(v9, v_a____) = v10 & hAPP(v7, v_k____) = v8 & hAPP(v6, v10) = v11 &
% 297.21/67.29 hAPP(v4, v_k____) = v5 & hAPP(v2, v14) = v15 & hAPP(v2, v3) = v4 & hAPP(v2,
% 297.21/67.29 v_w____) = v7 & hAPP(v1, v18) = v19 & hAPP(v1, v16) = v17 & hAPP(v1, v8) =
% 297.21/67.29 v9 & hAPP(v1, v5) = v6 & hAPP(v1, v3) = v13 & $i(v29) & $i(v28) & $i(v27) &
% 297.21/67.29 $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) &
% 297.21/67.29 $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) &
% 297.21/67.29 $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) &
% 297.21/67.29 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 297.21/67.29
% 297.21/67.29 (fact__0961_A_L_Aw_A_094_Ak_A_K_Aa_A_N_A1_A_061_A0_A_N_A1_096)
% 297.21/67.29 $i(v_a____) & $i(v_w____) & $i(tc_Complex_Ocomplex) & $i(v_k____) & ? [v0:
% 297.21/67.29 $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 297.21/67.29 ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 297.21/67.29 (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v9, v0) = v8 &
% 297.21/67.29 c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v7, v0) = v8 &
% 297.21/67.29 c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v1 &
% 297.21/67.30 c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v0, v6) = v7 &
% 297.21/67.30 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v9 &
% 297.21/67.30 c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v2 &
% 297.21/67.30 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 & hAPP(v5, v_a____) = v6
% 297.21/67.30 & hAPP(v3, v_k____) = v4 & hAPP(v2, v_w____) = v3 & hAPP(v1, v4) = v5 &
% 297.21/67.30 $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 297.21/67.30 $i(v1) & $i(v0))
% 297.21/67.30
% 297.21/67.30 (fact__0961_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_Ia_A_L_Acomplex__of__real_At_A_K_Aw_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_A_0611_A_L_Acomplex__of__real_At_A_094_Ak_A_K_A_Iw_A_094_Ak_A_K_Aa_J_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_Kpoly_As_A_Icomplex__of__real_At_A_K_Aw_J_096)
% 297.21/67.30 $i(v_s____) & $i(v_a____) & $i(v_w____) & $i(tc_Complex_Ocomplex) &
% 297.21/67.30 $i(v_k____) & $i(v_t____) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3:
% 297.21/67.30 $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 297.21/67.30 ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ?
% 297.21/67.30 [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 297.21/67.30 [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ?
% 297.21/67.30 [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] :
% 297.21/67.30 (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = v10 &
% 297.21/67.30 c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = v3 &
% 297.21/67.30 c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v1 &
% 297.21/67.30 c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v24, v27) = v15 &
% 297.21/67.30 c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v0, v23) = v24 &
% 297.21/67.30 c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v0, v14) = v15 &
% 297.21/67.30 c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_a____, v12) = v13 &
% 297.21/67.30 c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v2 &
% 297.21/67.30 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 & hAPP(v26, v11) = v27 &
% 297.21/67.30 hAPP(v21, v_a____) = v22 & hAPP(v19, v_k____) = v20 & hAPP(v18, v22) = v23 &
% 297.21/67.30 hAPP(v16, v_k____) = v17 & hAPP(v10, v5) = v11 & hAPP(v9, v11) = v12 &
% 297.21/67.30 hAPP(v8, v13) = v14 & hAPP(v8, v5) = v25 & hAPP(v6, v_k____) = v7 & hAPP(v4,
% 297.21/67.30 v_w____) = v5 & hAPP(v2, v5) = v6 & hAPP(v2, v3) = v16 & hAPP(v2, v_w____)
% 297.21/67.30 = v19 & hAPP(v1, v25) = v26 & hAPP(v1, v20) = v21 & hAPP(v1, v17) = v18 &
% 297.21/67.30 hAPP(v1, v7) = v8 & hAPP(v1, v5) = v9 & hAPP(v1, v3) = v4 & $i(v27) &
% 297.21/67.30 $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) &
% 297.21/67.30 $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) &
% 297.21/67.30 $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) &
% 297.21/67.30 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 297.21/67.30
% 297.21/67.30 (fact__0961_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_Ia_A_L_Acomplex__of__real_At_A_K_Aw_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_A_061complex__of__real_A_I1_A_N_At_A_094_Ak_J_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_Kpoly_As_A_Icomplex__of__real_At_A_K_Aw_J_096)
% 297.50/67.31 $i(v_s____) & $i(v_a____) & $i(v_w____) & $i(tc_Complex_Ocomplex) &
% 297.50/67.31 $i(v_k____) & $i(v_t____) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 297.50/67.31 ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7:
% 297.50/67.31 $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i]
% 297.50/67.31 : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] :
% 297.50/67.31 ? [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 297.50/67.31 [v23: $i] : ? [v24: $i] : (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) =
% 297.50/67.31 v10 & c_RealVector_Oof__real(tc_Complex_Ocomplex, v20) = v21 &
% 297.50/67.31 c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = v3 &
% 297.50/67.31 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v16, v19) = v20 &
% 297.50/67.31 c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v1 &
% 297.50/67.31 c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v21, v24) = v15 &
% 297.50/67.31 c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v0, v14) = v15 &
% 297.50/67.31 c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_a____, v12) = v13 &
% 297.50/67.31 c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v2 &
% 297.50/67.31 c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v17 &
% 297.50/67.31 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 &
% 297.50/67.31 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v16 & hAPP(v23, v11) = v24 &
% 297.50/67.31 hAPP(v18, v_k____) = v19 & hAPP(v17, v_t____) = v18 & hAPP(v10, v5) = v11 &
% 297.50/67.31 hAPP(v9, v11) = v12 & hAPP(v8, v13) = v14 & hAPP(v8, v5) = v22 & hAPP(v6,
% 297.50/67.31 v_k____) = v7 & hAPP(v4, v_w____) = v5 & hAPP(v2, v5) = v6 & hAPP(v1, v22)
% 297.50/67.31 = v23 & hAPP(v1, v7) = v8 & hAPP(v1, v5) = v9 & hAPP(v1, v3) = v4 & $i(v24)
% 297.50/67.31 & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) &
% 297.50/67.31 $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9)
% 297.50/67.31 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 297.50/67.31 $i(v0))
% 297.50/67.31
% 297.50/67.31 (fact__096EX_Ak_Aa_Aqa_O_Aa_A_126_061_A0_A_G_Ak_A_126_061_A0_A_G_Apsize_Aqa_A_L_Ak_A_L_A1_A_061_Apsize_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_A_G_A_IALL_Az_O_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_Az_A_061_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_A0_A_L_Az_A_094_Ak_A_K_Apoly_A_IpCons_Aa_Aqa_J_Az_J_096)
% 297.50/67.31 $i(v_q____) & $i(tc_Nat_Onat) & $i(tc_Complex_Ocomplex) & ? [v0: $i] : ?
% 297.50/67.31 [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i]
% 297.50/67.31 : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ?
% 297.50/67.31 [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ?
% 297.50/67.31 [v17: $i] : ? [v18: $i] : ( ~ (v13 = v0) & ~ (v12 = v1) &
% 297.50/67.31 c_Polynomial_OpCons(tc_Complex_Ocomplex, v13, v14) = v17 &
% 297.50/67.31 c_Polynomial_Osmult(tc_Complex_Ocomplex, v5, v_q____) = v6 &
% 297.50/67.31 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v14)
% 297.50/67.31 = v15 &
% 297.50/67.31 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v6) =
% 297.50/67.31 v7 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v17) = v18 &
% 297.50/67.31 c_Polynomial_Opoly(tc_Complex_Ocomplex, v6) = v8 &
% 297.50/67.31 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v3 &
% 297.50/67.31 c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, v4) = v5 &
% 297.50/67.31 c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v10 &
% 297.50/67.31 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v16, v2) = v7 &
% 297.50/67.31 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v15, v12) = v16 &
% 297.50/67.31 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 &
% 297.50/67.31 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0 &
% 297.50/67.31 c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v11 &
% 297.50/67.31 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v2 & hAPP(v8, v0) = v9 & hAPP(v3,
% 297.50/67.31 v0) = v4 & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) &
% 297.50/67.31 $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) &
% 297.50/67.31 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v19: $i] : ! [v20: $i] : (
% 297.50/67.31 ~ (hAPP(v8, v19) = v20) | ~ $i(v19) | ? [v21: $i] : ? [v22: $i] : ?
% 297.50/67.31 [v23: $i] : ? [v24: $i] : ? [v25: $i] :
% 297.50/67.31 (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v9, v25) = v20 &
% 297.50/67.31 hAPP(v23, v24) = v25 & hAPP(v21, v12) = v22 & hAPP(v18, v19) = v24 &
% 297.50/67.31 hAPP(v11, v19) = v21 & hAPP(v10, v22) = v23 & $i(v25) & $i(v24) &
% 297.50/67.31 $i(v23) & $i(v22) & $i(v21) & $i(v20))))
% 297.50/67.31
% 297.50/67.31 (fact__096EX_Am_0620_O_AALL_Az_O_Acmod_Az_A_060_061_Acmod_Aw_A_N_N_062_Acmod_A_Ipoly_As_Az_J_A_060_061_Am_096)
% 297.50/67.32 $i(v_s____) & $i(v_w____) & $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) &
% 297.50/67.32 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 297.50/67.32 (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = v2 &
% 297.50/67.32 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v1 &
% 297.50/67.32 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v3) & $i(v2) &
% 297.50/67.32 $i(v1) & $i(v0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) &
% 297.50/67.32 ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v2, v4) = v5) | ~ $i(v4) | ? [v6: $i]
% 297.50/67.32 : ? [v7: $i] : ((c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5)
% 297.50/67.32 = v7 & $i(v7) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 297.50/67.32 v7, v3)) | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4)
% 297.50/67.32 = v6 & $i(v6) & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 297.50/67.32 v6, v1)))))
% 297.50/67.32
% 297.50/67.32 (fact__096EX_Az_O_Apoly_A_IpCons_A1_A_Imonom_Aa_A_Ik_A_N_A1_J_J_J_Az_A_061_A0_096)
% 297.50/67.32 $i(v_a____) & $i(tc_Nat_Onat) & $i(tc_Complex_Ocomplex) & $i(v_k____) & ?
% 297.50/67.32 [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i]
% 297.50/67.32 : ? [v6: $i] : ? [v7: $i] : (c_Polynomial_Omonom(tc_Complex_Ocomplex,
% 297.50/67.32 v_a____, v2) = v3 & c_Polynomial_OpCons(tc_Complex_Ocomplex, v0, v3) = v4
% 297.50/67.32 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v4) = v5 &
% 297.50/67.32 c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v_k____, v1) = v2 &
% 297.50/67.32 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v6 &
% 297.50/67.32 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 &
% 297.50/67.32 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 & hAPP(v5, v7) = v6 &
% 297.50/67.32 $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 297.50/67.32
% 297.50/67.32 (fact__096_B_Bd2_O_A0_A_060_Ad2_A_061_061_062_AEX_Ae_0620_O_Ae_A_060_A1_A_G_Ae_A_060_Ad2_096)
% 297.50/67.32 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 297.50/67.32 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 297.50/67.32 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0) & ! [v2:
% 297.50/67.32 $i] : ( ~ $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 297.50/67.32 v2) | ? [v3: $i] : ($i(v3) &
% 297.50/67.32 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v2) &
% 297.50/67.32 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v1) &
% 297.50/67.32 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3))))
% 297.50/67.32
% 297.50/67.32 (fact__096_B_Bthesis_O_A_I_B_Bm_O_A_091_124_A0_A_060_Am_059_AALL_Az_O_Acmod_Az_A_060_061_Acmod_Aw_A_N_N_062_Acmod_A_Ipoly_As_Az_J_A_060_061_Am_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096)
% 297.50/67.32 $i(v_s____) & $i(v_w____) & $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) &
% 297.50/67.32 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 297.50/67.32 (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = v2 &
% 297.50/67.32 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v1 &
% 297.50/67.32 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v3) & $i(v2) &
% 297.50/67.32 $i(v1) & $i(v0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) &
% 297.50/67.32 ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v2, v4) = v5) | ~ $i(v4) | ? [v6: $i]
% 297.50/67.32 : ? [v7: $i] : ((c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5)
% 297.50/67.32 = v7 & $i(v7) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 297.50/67.32 v7, v3)) | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4)
% 297.50/67.32 = v6 & $i(v6) & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 297.50/67.32 v6, v1)))))
% 297.50/67.32
% 297.50/67.32 (fact__096_B_Bthesis_O_A_I_B_Bt_O_A_091_124_A0_A_060_At_059_At_A_060_A1_059_At_A_060_Ainverse_A_Icmod_Aw_A_094_A_Ik_A_L_A1_J_A_K_Am_J_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096)
% 297.50/67.32 $i(v_m____) & $i(tc_Nat_Onat) & $i(v_w____) & $i(tc_Complex_Ocomplex) &
% 297.50/67.32 $i(v_k____) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 297.50/67.32 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 297.50/67.32 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] :
% 297.50/67.32 (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v10) = v11 &
% 297.50/67.32 c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v2 &
% 297.50/67.32 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v4 &
% 297.50/67.32 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, v6) = v7 &
% 297.50/67.32 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 297.50/67.32 c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v3 &
% 297.50/67.32 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v6 &
% 297.50/67.32 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & hAPP(v9, v_m____) = v10 &
% 297.50/67.32 hAPP(v5, v7) = v8 & hAPP(v3, v4) = v5 & hAPP(v2, v8) = v9 & $i(v12) &
% 297.50/67.32 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 297.50/67.32 $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 297.50/67.32 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12, v11) &
% 297.50/67.32 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12, v1) &
% 297.50/67.32 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v12))
% 297.50/67.32
% 297.50/67.32 (fact__096_B_Bthesis_O_A_I_B_Bw_O_A1_A_L_Aw_A_094_Ak_A_K_Aa_A_061_A0_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096)
% 297.50/67.33 $i(v_a____) & $i(tc_Complex_Ocomplex) & $i(v_k____) & ? [v0: $i] : ? [v1:
% 297.50/67.33 $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 297.50/67.33 ? [v7: $i] : ? [v8: $i] : (c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex)
% 297.50/67.33 = v1 & c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v0, v8) = v3 &
% 297.50/67.33 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v3 &
% 297.50/67.33 c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v2 &
% 297.50/67.33 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 & hAPP(v7, v_a____) = v8
% 297.50/67.33 & hAPP(v5, v_k____) = v6 & hAPP(v2, v4) = v5 & hAPP(v1, v6) = v7 & $i(v8) &
% 297.50/67.33 $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 297.50/67.33
% 297.50/67.33 (fact__096cmod_A_I1_A_L_A_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Ia_A_L_Acomplex__of__real_At_A_K_Aw_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_J_A_061cmod_A_Icomplex__of__real_A_I1_A_N_At_A_094_Ak_J_A_L_A_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_096)
% 297.50/67.33 $i(v_s____) & $i(v_a____) & $i(v_w____) & $i(tc_Complex_Ocomplex) &
% 297.50/67.33 $i(v_k____) & $i(v_t____) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 297.50/67.33 ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7:
% 297.50/67.33 $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i]
% 297.50/67.33 : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] :
% 297.50/67.33 ? [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 297.50/67.33 [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] :
% 297.50/67.33 (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = v10 &
% 297.50/67.33 c_RealVector_Oof__real(tc_Complex_Ocomplex, v21) = v22 &
% 297.50/67.33 c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = v3 &
% 297.50/67.33 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v17, v20) = v21 &
% 297.50/67.33 c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v1 &
% 297.50/67.33 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v26) = v16 &
% 297.50/67.33 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v15) = v16 &
% 297.50/67.33 c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v22, v25) = v26 &
% 297.50/67.33 c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v0, v14) = v15 &
% 297.50/67.33 c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_a____, v12) = v13 &
% 297.50/67.33 c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v2 &
% 297.50/67.33 c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v18 &
% 297.50/67.33 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 &
% 297.50/67.33 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v17 & hAPP(v24, v11) = v25 &
% 297.50/67.33 hAPP(v19, v_k____) = v20 & hAPP(v18, v_t____) = v19 & hAPP(v10, v5) = v11 &
% 297.50/67.33 hAPP(v9, v11) = v12 & hAPP(v8, v13) = v14 & hAPP(v8, v5) = v23 & hAPP(v6,
% 297.50/67.33 v_k____) = v7 & hAPP(v4, v_w____) = v5 & hAPP(v2, v5) = v6 & hAPP(v1, v23)
% 297.50/67.33 = v24 & hAPP(v1, v7) = v8 & hAPP(v1, v5) = v9 & hAPP(v1, v3) = v4 & $i(v26)
% 297.50/67.33 & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) &
% 297.50/67.33 $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) &
% 297.50/67.33 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 297.50/67.33 $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 297.50/67.33
% 297.50/67.33 (fact__096cmod_A_Icomplex__of__real_A_I1_A_N_At_A_094_Ak_J_A_L_A_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_060_061_Acmod_A_Icomplex__of__real_A_I1_A_N_At_A_094_Ak_J_J_A_L_Acmod_A_I_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_096)
% 297.50/67.33 $i(v_s____) & $i(v_w____) & $i(tc_Complex_Ocomplex) & $i(v_k____) &
% 297.50/67.33 $i(v_t____) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 297.50/67.33 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 297.50/67.33 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 297.50/67.33 $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18:
% 297.50/67.33 $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23:
% 297.50/67.33 $i] : (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = v16 &
% 297.50/67.33 c_RealVector_Oof__real(tc_Complex_Ocomplex, v4) = v5 &
% 297.50/67.33 c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = v8 &
% 297.50/67.33 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v0, v3) = v4 &
% 297.50/67.33 c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v6 &
% 297.50/67.33 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v19) = v20 &
% 297.50/67.33 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v18) = v22 &
% 297.50/67.33 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v21 &
% 297.50/67.33 c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v5, v18) = v19 &
% 297.50/67.33 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v21, v22) = v23 &
% 297.50/67.33 c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v7 &
% 297.50/67.33 c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v1 &
% 297.50/67.33 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & hAPP(v16, v10) = v17 &
% 297.50/67.33 hAPP(v15, v17) = v18 & hAPP(v13, v10) = v14 & hAPP(v11, v_k____) = v12 &
% 297.50/67.33 hAPP(v9, v_w____) = v10 & hAPP(v7, v10) = v11 & hAPP(v6, v14) = v15 &
% 297.50/67.33 hAPP(v6, v12) = v13 & hAPP(v6, v8) = v9 & hAPP(v2, v_k____) = v3 & hAPP(v1,
% 297.50/67.33 v_t____) = v2 & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18)
% 297.50/67.33 & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) &
% 297.50/67.33 $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 297.50/67.33 $i(v2) & $i(v1) & $i(v0) &
% 297.50/67.33 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v20, v23))
% 297.50/67.33
% 297.50/67.33 (fact__096poly_Aq_A0_A_061_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_A0_A_K_Apoly_Aq_A0_096)
% 297.50/67.34 $i(v_q____) & $i(tc_Complex_Ocomplex) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 297.50/67.34 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 297.50/67.34 ? [v8: $i] : (c_Polynomial_Osmult(tc_Complex_Ocomplex, v4, v_q____) = v5 &
% 297.50/67.34 c_Polynomial_Opoly(tc_Complex_Ocomplex, v5) = v6 &
% 297.50/67.34 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v0 &
% 297.50/67.34 c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, v2) = v4 &
% 297.50/67.34 c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v3 &
% 297.50/67.34 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 & hAPP(v8, v2) = v2 &
% 297.50/67.34 hAPP(v6, v1) = v7 & hAPP(v3, v7) = v8 & hAPP(v0, v1) = v2 & $i(v8) & $i(v7)
% 297.50/67.34 & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 297.50/67.34
% 297.50/67.34 (fact__096t_A_K_A_Icmod_Aw_A_094_A_Ik_A_L_A1_J_A_K_Am_J_A_060_A1_096)
% 297.50/67.34 $i(v_m____) & $i(tc_Nat_Onat) & $i(v_w____) & $i(tc_Complex_Ocomplex) &
% 297.50/67.34 $i(v_k____) & $i(v_t____) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 297.50/67.34 ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7:
% 297.50/67.34 $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] :
% 297.50/67.34 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 297.50/67.34 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v3 &
% 297.50/67.34 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, v5) = v6 &
% 297.50/67.34 c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v2 &
% 297.50/67.34 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v5 &
% 297.50/67.34 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v11 & hAPP(v8, v_m____) = v9 &
% 297.50/67.34 hAPP(v4, v6) = v7 & hAPP(v2, v3) = v4 & hAPP(v1, v9) = v10 & hAPP(v0, v7) =
% 297.50/67.34 v8 & hAPP(v0, v_t____) = v1 & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 297.50/67.34 $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 297.50/67.34 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10, v11))
% 297.50/67.34
% 297.50/67.34 (fact__096t_A_K_Acmod_Aw_A_060_061_A1_A_K_Acmod_Aw_096)
% 297.50/67.34 $i(v_w____) & $i(tc_Complex_Ocomplex) & $i(v_t____) & $i(tc_RealDef_Oreal) &
% 297.50/67.34 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5:
% 297.50/67.34 $i] : ? [v6: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 297.50/67.34 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v2 &
% 297.50/67.34 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v4 & hAPP(v5, v2) = v6 &
% 297.50/67.34 hAPP(v1, v2) = v3 & hAPP(v0, v4) = v5 & hAPP(v0, v_t____) = v1 & $i(v6) &
% 297.50/67.34 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 297.50/67.34 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v6))
% 297.50/67.34
% 297.50/67.34 (fact_abs__add__one__gt__zero)
% 297.50/67.34 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 297.50/67.34 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 297.50/67.34 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0) & ! [v2:
% 297.50/67.34 $i] : ! [v3: $i] : ( ~ (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v2) =
% 297.50/67.34 v3) | ~ $i(v2) | ? [v4: $i] :
% 297.50/67.34 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v3) = v4 & $i(v4) &
% 297.50/67.34 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4))))
% 297.50/67.34
% 297.50/67.34 (fact_abs__add__one__not__less__self)
% 297.50/67.34 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 297.50/67.34 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : !
% 297.50/67.34 [v2: $i] : ( ~ (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1) = v2) | ~
% 297.50/67.34 $i(v1) | ? [v3: $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2,
% 297.50/67.34 v0) = v3 & $i(v3) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 297.50/67.34 v3, v1))))
% 297.50/67.34
% 297.50/67.34 (fact_abs__eq__0)
% 297.50/67.34 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (c_Groups_Oabs__class_Oabs(v1,
% 297.50/67.34 v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 297.50/67.34 class_Groups_Oordered__ab__group__add__abs(v1) | ? [v3: $i] :
% 297.50/67.34 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~ (v3 = v2) | v2 = v0) &
% 297.50/67.34 ( ~ (v3 = v0) | v2 = v0)))
% 297.50/67.34
% 297.50/67.34 (fact_abs__ge__zero)
% 297.50/67.34 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (c_Groups_Oabs__class_Oabs(v1,
% 297.50/67.34 v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 297.50/67.35 class_Groups_Oordered__ab__group__add__abs(v1) | ? [v3: $i] :
% 297.50/67.35 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) &
% 297.50/67.35 c_Orderings_Oord__class_Oless__eq(v1, v3, v2)))
% 297.50/67.35
% 297.50/67.35 (fact_abs__le__zero__iff)
% 297.50/67.35 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (c_Groups_Oabs__class_Oabs(v1,
% 297.50/67.35 v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 297.50/67.35 class_Groups_Oordered__ab__group__add__abs(v1) | ? [v3: $i] :
% 297.50/67.35 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~ (v3 = v0) |
% 297.50/67.35 c_Orderings_Oord__class_Oless__eq(v1, v2, v0)) & (v3 = v0 | ~
% 297.50/67.35 c_Orderings_Oord__class_Oless__eq(v1, v2, v3))))
% 297.50/67.35
% 297.50/67.35 (fact_abs__norm__cancel)
% 297.50/67.35 $i(tc_RealDef_Oreal) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 297.50/67.35 (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 297.50/67.35 class_RealVector_Oreal__normed__vector(v1) |
% 297.50/67.35 (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v2) = v2 & $i(v2)))
% 297.50/67.35
% 297.50/67.35 (fact_abs__not__less__zero)
% 297.50/67.35 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (c_Groups_Oabs__class_Oabs(v1,
% 297.50/67.35 v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 297.50/67.35 class_Groups_Oordered__ab__group__add__abs(v1) | ? [v3: $i] :
% 297.50/67.35 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ~
% 297.50/67.35 c_Orderings_Oord__class_Oless(v1, v2, v3)))
% 297.50/67.35
% 297.50/67.35 (fact_abs__real__def)
% 297.50/67.35 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 297.50/67.35 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 297.50/67.35 ! [v2: $i] : (v2 = v1 | ~ (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1)
% 297.50/67.35 = v2) | ~ $i(v1) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1,
% 297.50/67.35 v0)) & ! [v1: $i] : ! [v2: $i] : ( ~
% 297.50/67.35 (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1) = v2) | ~ $i(v1) | ~
% 297.50/67.35 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) |
% 297.50/67.35 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2 & $i(v2))))
% 297.50/67.35
% 297.50/67.35 (fact_add__neg__neg)
% 297.50/67.35 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 297.50/67.35 (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 297.50/67.35 $i(v0) | ~ class_Groups_Oordered__comm__monoid__add(v2) | ? [v4: $i] :
% 297.50/67.35 (c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4) & ( ~
% 297.50/67.35 c_Orderings_Oord__class_Oless(v2, v1, v4) | ~
% 297.50/67.35 c_Orderings_Oord__class_Oless(v2, v0, v4) |
% 297.50/67.35 c_Orderings_Oord__class_Oless(v2, v3, v4))))
% 297.50/67.35
% 297.50/67.35 (fact_add__neg__nonpos)
% 297.50/67.35 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 297.50/67.35 (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 297.50/67.35 $i(v0) | ~ class_Groups_Oordered__comm__monoid__add(v2) | ? [v4: $i] :
% 297.50/67.35 (c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4) & ( ~
% 297.50/67.35 c_Orderings_Oord__class_Oless__eq(v2, v0, v4) | ~
% 297.50/67.35 c_Orderings_Oord__class_Oless(v2, v1, v4) |
% 297.50/67.35 c_Orderings_Oord__class_Oless(v2, v3, v4))))
% 297.50/67.35
% 297.50/67.35 (fact_add__nonneg__eq__0__iff)
% 297.50/67.35 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 297.50/67.35 (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 297.50/67.35 $i(v0) | ~ class_Groups_Oordered__comm__monoid__add(v2) | ? [v4: $i] :
% 297.50/67.35 (c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4) & ( ~
% 297.50/67.35 c_Orderings_Oord__class_Oless__eq(v2, v4, v1) | ~
% 297.50/67.35 c_Orderings_Oord__class_Oless__eq(v2, v4, v0) | (( ~ (v4 = v3) | (v3 =
% 297.50/67.35 v0 & v1 = v0)) & ( ~ (v4 = v0) | ~ (v1 = v0) | v3 = v0)))))
% 297.50/67.35
% 297.50/67.35 (fact_add__nonneg__nonneg)
% 297.50/67.35 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 297.50/67.35 (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 297.50/67.35 $i(v0) | ~ class_Groups_Oordered__comm__monoid__add(v2) | ? [v4: $i] :
% 297.50/67.35 (c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4) & ( ~
% 297.50/67.35 c_Orderings_Oord__class_Oless__eq(v2, v4, v1) | ~
% 297.50/67.35 c_Orderings_Oord__class_Oless__eq(v2, v4, v0) |
% 297.50/67.35 c_Orderings_Oord__class_Oless__eq(v2, v4, v3))))
% 297.50/67.35
% 297.50/67.35 (fact_add__nonneg__pos)
% 297.50/67.35 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 297.50/67.35 (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 297.50/67.35 $i(v0) | ~ class_Groups_Oordered__comm__monoid__add(v2) | ? [v4: $i] :
% 297.50/67.35 (c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4) & ( ~
% 297.50/67.36 c_Orderings_Oord__class_Oless__eq(v2, v4, v1) | ~
% 297.50/67.36 c_Orderings_Oord__class_Oless(v2, v4, v0) |
% 297.50/67.36 c_Orderings_Oord__class_Oless(v2, v4, v3))))
% 297.50/67.36
% 297.50/67.36 (fact_add__nonpos__neg)
% 297.50/67.36 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 297.50/67.36 (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 297.50/67.36 $i(v0) | ~ class_Groups_Oordered__comm__monoid__add(v2) | ? [v4: $i] :
% 297.50/67.36 (c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4) & ( ~
% 297.50/67.36 c_Orderings_Oord__class_Oless__eq(v2, v1, v4) | ~
% 297.50/67.36 c_Orderings_Oord__class_Oless(v2, v0, v4) |
% 297.50/67.36 c_Orderings_Oord__class_Oless(v2, v3, v4))))
% 297.50/67.36
% 297.50/67.36 (fact_add__nonpos__nonpos)
% 297.50/67.36 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 297.50/67.36 (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 297.50/67.36 $i(v0) | ~ class_Groups_Oordered__comm__monoid__add(v2) | ? [v4: $i] :
% 297.50/67.36 (c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4) & ( ~
% 297.50/67.36 c_Orderings_Oord__class_Oless__eq(v2, v1, v4) | ~
% 297.50/67.36 c_Orderings_Oord__class_Oless__eq(v2, v0, v4) |
% 297.50/67.36 c_Orderings_Oord__class_Oless__eq(v2, v3, v4))))
% 297.50/67.36
% 297.50/67.36 (fact_add__pos__nonneg)
% 297.79/67.36 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 297.79/67.36 (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 297.79/67.36 $i(v0) | ~ class_Groups_Oordered__comm__monoid__add(v2) | ? [v4: $i] :
% 297.79/67.36 (c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4) & ( ~
% 297.79/67.36 c_Orderings_Oord__class_Oless__eq(v2, v4, v0) | ~
% 297.79/67.36 c_Orderings_Oord__class_Oless(v2, v4, v1) |
% 297.79/67.36 c_Orderings_Oord__class_Oless(v2, v4, v3))))
% 297.79/67.36
% 297.79/67.36 (fact_add__pos__pos)
% 297.79/67.36 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 297.79/67.36 (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 297.79/67.36 $i(v0) | ~ class_Groups_Oordered__comm__monoid__add(v2) | ? [v4: $i] :
% 297.79/67.36 (c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4) & ( ~
% 297.79/67.36 c_Orderings_Oord__class_Oless(v2, v4, v1) | ~
% 297.79/67.36 c_Orderings_Oord__class_Oless(v2, v4, v0) |
% 297.79/67.36 c_Orderings_Oord__class_Oless(v2, v4, v3))))
% 297.79/67.36
% 297.79/67.36 (fact_ath)
% 297.79/67.36 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 297.79/67.36 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 297.79/67.36 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0) & ! [v2:
% 297.79/67.36 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 297.79/67.36 (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v4) = v5) | ~
% 297.79/67.36 (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v1, v2) = v4) | ~
% 297.79/67.36 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v3) = v6) | ~ $i(v3) |
% 297.79/67.36 ~ $i(v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1)
% 297.79/67.36 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) | ~
% 297.79/67.36 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v2) |
% 297.79/67.36 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v1)))
% 297.79/67.36
% 297.79/67.36 (fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J)
% 297.79/67.36 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 &
% 297.79/67.36 $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 297.79/67.36 (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v3, v1) = v4) | ~
% 297.79/67.36 $i(v2) | ~ $i(v1) | ~ class_Rings_Ocomm__semiring__1(v2) | hAPP(v4, v0)
% 297.79/67.36 = v1))
% 297.79/67.36
% 297.79/67.36 (fact_complex__i__mult__minus)
% 297.79/67.36 $i(c_Complex_Oii) & $i(tc_Complex_Ocomplex) & ? [v0: $i] : ? [v1: $i] :
% 297.79/67.36 (c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v0 & hAPP(v0,
% 297.79/67.36 c_Complex_Oii) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~
% 297.79/67.36 (hAPP(v1, v2) = v3) | ~ $i(v2) | ? [v4: $i] :
% 297.79/67.36 (c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v2) = v4 & hAPP(v1,
% 297.79/67.36 v3) = v4 & $i(v4))))
% 297.79/67.36
% 297.79/67.36 (fact_complex__of__real__minus__one)
% 297.79/67.36 $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 297.79/67.36 ? [v2: $i] : ? [v3: $i] : (c_RealVector_Oof__real(tc_Complex_Ocomplex, v1) =
% 297.79/67.36 v2 & c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v3) = v2 &
% 297.79/67.36 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v0) = v1 &
% 297.79/67.36 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v3 &
% 297.79/67.36 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v3) & $i(v2) & $i(v1)
% 297.79/67.36 & $i(v0))
% 297.79/67.36
% 297.79/67.36 (fact_complex__of__real__power)
% 297.79/67.37 $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 297.79/67.37 (c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v0 &
% 297.79/67.37 c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0) & !
% 297.79/67.37 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 297.79/67.37 (c_RealVector_Oof__real(tc_Complex_Ocomplex, v3) = v4) | ~ (hAPP(v5, v2)
% 297.79/67.37 = v6) | ~ (hAPP(v0, v4) = v5) | ~ $i(v3) | ~ $i(v2) | ? [v7: $i] :
% 297.79/67.37 ? [v8: $i] : (c_RealVector_Oof__real(tc_Complex_Ocomplex, v8) = v6 &
% 297.79/67.37 hAPP(v7, v2) = v8 & hAPP(v1, v3) = v7 & $i(v8) & $i(v7) & $i(v6))))
% 297.79/67.37
% 297.79/67.37 (fact_divisors__zero)
% 297.79/67.37 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 297.79/67.37 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5)
% 297.79/67.37 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 297.79/67.37 class_Rings_Ono__zero__divisors(v2) | ? [v6: $i] :
% 297.79/67.37 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~ (v6 = v5) | v5 = v1 |
% 297.79/67.37 v5 = v0)))
% 297.79/67.37
% 297.79/67.37 (fact_equal__neg__zero)
% 297.79/67.37 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 297.79/67.37 (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 297.79/67.37 class_Groups_Olinordered__ab__group__add(v1) | ? [v3: $i] : (( ~ (v2 = v0)
% 297.79/67.37 | (v3 = v0 & c_Groups_Ozero__class_Ozero(v1) = v0)) & (v2 = v0 | ( ~ (v3
% 297.79/67.37 = v0) & c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3)))))
% 297.79/67.37
% 297.79/67.37 (fact_field__power__not__zero)
% 297.79/67.37 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 297.79/67.37 $i] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v0) = v5) |
% 297.79/67.37 ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 297.79/67.37 class_Rings_Oring__1__no__zero__divisors(v2) | ? [v6: $i] :
% 297.79/67.37 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~ (v6 = v5) | v5 = v1)))
% 297.79/67.37
% 297.79/67.37 (fact_ge__natfloor__plus__one__imp__gt)
% 297.79/67.37 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 297.79/67.37 (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v0) & ! [v1: $i] : ! [v2:
% 297.79/67.37 $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) =
% 297.79/67.37 v4) | ~ (c_RComplete_Onatfloor(v2) = v3) | ~ $i(v2) | ~ $i(v1) |
% 297.79/67.37 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v4) | ? [v5: $i] :
% 297.79/67.37 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v0) = v5 & $i(v5) & ~
% 297.79/67.37 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v1))))
% 297.79/67.37
% 297.79/67.37 (fact_i__mult__eq2)
% 297.79/67.37 $i(c_Complex_Oii) & $i(tc_Complex_Ocomplex) & ? [v0: $i] : ? [v1: $i] : ?
% 297.79/67.37 [v2: $i] : ? [v3: $i] : (c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,
% 297.79/67.37 v3) = v2 & c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v0 &
% 297.79/67.37 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v3 & hAPP(v1,
% 297.79/67.37 c_Complex_Oii) = v2 & hAPP(v0, c_Complex_Oii) = v1 & $i(v3) & $i(v2) &
% 297.79/67.37 $i(v1) & $i(v0))
% 297.79/67.37
% 297.79/67.37 (fact_inv0)
% 297.79/67.37 $i(v_m____) & $i(tc_Nat_Onat) & $i(v_w____) & $i(tc_Complex_Ocomplex) &
% 297.79/67.37 $i(v_k____) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 297.79/67.37 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 297.79/67.37 $i] : ? [v9: $i] : ? [v10: $i] :
% 297.79/67.37 (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v9) = v10 &
% 297.79/67.37 c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 297.79/67.37 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v3 &
% 297.79/67.37 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, v5) = v6 &
% 297.79/67.37 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 297.79/67.37 c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v2 &
% 297.79/67.37 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v5 & hAPP(v8, v_m____) = v9 &
% 297.79/67.37 hAPP(v4, v6) = v7 & hAPP(v2, v3) = v4 & hAPP(v1, v7) = v8 & $i(v10) & $i(v9)
% 297.79/67.37 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 297.79/67.37 $i(v0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v10))
% 297.79/67.37
% 297.79/67.37 (fact_inverse__negative__iff__negative)
% 297.79/67.38 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 297.79/67.38 (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 297.79/67.38 class_Fields_Olinordered__field__inverse__zero(v1) | ? [v3: $i] :
% 297.79/67.38 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~
% 297.79/67.38 c_Orderings_Oord__class_Oless(v1, v2, v3) |
% 297.79/67.38 c_Orderings_Oord__class_Oless(v1, v0, v3)) & ( ~
% 297.79/67.38 c_Orderings_Oord__class_Oless(v1, v0, v3) |
% 297.79/67.38 c_Orderings_Oord__class_Oless(v1, v2, v3))))
% 297.79/67.38
% 297.79/67.38 (fact_inverse__negative__imp__negative)
% 297.79/67.38 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 297.79/67.38 (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 297.79/67.38 class_Fields_Olinordered__field(v1) | ? [v3: $i] :
% 297.79/67.38 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & (v3 = v0 | ~
% 297.79/67.38 c_Orderings_Oord__class_Oless(v1, v2, v3) |
% 297.79/67.38 c_Orderings_Oord__class_Oless(v1, v0, v3))))
% 297.79/67.38
% 297.79/67.38 (fact_inverse__nonnegative__iff__nonnegative)
% 297.79/67.38 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 297.79/67.38 (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 297.79/67.38 class_Fields_Olinordered__field__inverse__zero(v1) | ? [v3: $i] :
% 297.79/67.38 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~
% 297.79/67.38 c_Orderings_Oord__class_Oless__eq(v1, v3, v2) |
% 297.79/67.38 c_Orderings_Oord__class_Oless__eq(v1, v3, v0)) & ( ~
% 297.79/67.38 c_Orderings_Oord__class_Oless__eq(v1, v3, v0) |
% 297.79/67.38 c_Orderings_Oord__class_Oless__eq(v1, v3, v2))))
% 297.79/67.38
% 297.79/67.38 (fact_inverse__nonpositive__iff__nonpositive)
% 297.79/67.38 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 297.79/67.38 (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 297.79/67.38 class_Fields_Olinordered__field__inverse__zero(v1) | ? [v3: $i] :
% 297.79/67.38 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~
% 297.79/67.38 c_Orderings_Oord__class_Oless__eq(v1, v2, v3) |
% 297.79/67.38 c_Orderings_Oord__class_Oless__eq(v1, v0, v3)) & ( ~
% 297.79/67.38 c_Orderings_Oord__class_Oless__eq(v1, v0, v3) |
% 297.79/67.38 c_Orderings_Oord__class_Oless__eq(v1, v2, v3))))
% 297.79/67.38
% 297.79/67.38 (fact_inverse__nonzero__iff__nonzero)
% 297.79/67.38 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 297.79/67.38 (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 297.79/67.38 class_Rings_Odivision__ring__inverse__zero(v1) | ? [v3: $i] :
% 297.79/67.38 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~ (v3 = v2) | v2 = v0) &
% 297.79/67.38 ( ~ (v3 = v0) | v2 = v0)))
% 297.79/67.38
% 297.79/67.38 (fact_inverse__positive__iff__positive)
% 297.79/67.38 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 297.79/67.38 (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 297.79/67.38 class_Fields_Olinordered__field__inverse__zero(v1) | ? [v3: $i] :
% 297.79/67.38 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~
% 297.79/67.38 c_Orderings_Oord__class_Oless(v1, v3, v2) |
% 297.79/67.38 c_Orderings_Oord__class_Oless(v1, v3, v0)) & ( ~
% 297.79/67.38 c_Orderings_Oord__class_Oless(v1, v3, v0) |
% 297.79/67.38 c_Orderings_Oord__class_Oless(v1, v3, v2))))
% 297.79/67.38
% 297.79/67.38 (fact_inverse__positive__imp__positive)
% 297.79/67.38 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 297.79/67.38 (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 297.79/67.38 class_Fields_Olinordered__field(v1) | ? [v3: $i] :
% 297.79/67.38 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & (v3 = v0 | ~
% 297.79/67.38 c_Orderings_Oord__class_Oless(v1, v3, v2) |
% 297.79/67.38 c_Orderings_Oord__class_Oless(v1, v3, v0))))
% 297.79/67.38
% 297.79/67.38 (fact_inverse__zero__imp__zero)
% 297.79/67.38 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 297.79/67.38 (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 297.79/67.38 class_Rings_Odivision__ring(v1) | ? [v3: $i] :
% 297.79/67.38 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~ (v3 = v2) | v2 = v0)))
% 297.79/67.38
% 297.79/67.38 (fact_k1n)
% 297.79/67.38 $i(v_pa____) & $i(tc_Nat_Onat) & $i(tc_Complex_Ocomplex) & $i(v_k____) & ?
% 297.79/67.38 [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 297.79/67.38 (c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 297.79/67.38 v_pa____) = v2 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, v0) =
% 297.79/67.38 v1 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v2) & $i(v1) & $i(v0)
% 297.79/67.38 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2))
% 297.79/67.38
% 297.79/67.38 (fact_kas_I3_J)
% 297.79/67.39 $i(v_q____) & $i(v_s____) & $i(tc_Nat_Onat) & $i(tc_Complex_Ocomplex) &
% 297.79/67.39 $i(v_k____) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4:
% 297.79/67.39 $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 297.79/67.39 (c_Polynomial_Osmult(tc_Complex_Ocomplex, v7, v_q____) = v8 &
% 297.79/67.39 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v8) =
% 297.79/67.39 v3 & c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 297.79/67.39 v_s____) = v0 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v4 &
% 297.79/67.39 c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, v6) = v7 &
% 297.79/67.39 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v2) = v3 &
% 297.79/67.39 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v_k____) = v1 &
% 297.79/67.39 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v5 &
% 297.79/67.39 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v2 & hAPP(v4, v5) = v6 & $i(v8) &
% 297.79/67.39 $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 297.79/67.39
% 297.79/67.39 (fact_kas_I4_J)
% 297.79/67.39 $i(v_q____) & $i(v_s____) & $i(v_a____) & $i(tc_Complex_Ocomplex) &
% 297.79/67.39 $i(v_k____) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4:
% 297.79/67.39 $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 297.79/67.39 ? [v10: $i] : (c_Polynomial_OpCons(tc_Complex_Ocomplex, v_a____, v_s____) = v9
% 297.79/67.39 & c_Polynomial_Osmult(tc_Complex_Ocomplex, v3, v_q____) = v4 &
% 297.79/67.39 c_Polynomial_Opoly(tc_Complex_Ocomplex, v9) = v10 &
% 297.79/67.39 c_Polynomial_Opoly(tc_Complex_Ocomplex, v4) = v5 &
% 297.79/67.39 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v0 &
% 297.79/67.39 c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, v2) = v3 &
% 297.79/67.39 c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v7 &
% 297.79/67.39 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 &
% 297.79/67.39 c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v8 & hAPP(v5, v1) = v6 &
% 297.79/67.39 hAPP(v0, v1) = v2 & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) &
% 297.79/67.39 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v11: $i] : ! [v12: $i] :
% 297.79/67.39 ! [v13: $i] : ! [v14: $i] : ! [v15: $i] : ! [v16: $i] : ( ~ (hAPP(v14,
% 297.79/67.39 v15) = v16) | ~ (hAPP(v12, v_k____) = v13) | ~ (hAPP(v10, v11) =
% 297.79/67.39 v15) | ~ (hAPP(v8, v11) = v12) | ~ (hAPP(v7, v13) = v14) | ~ $i(v11)
% 297.79/67.39 | ? [v17: $i] : (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v6,
% 297.79/67.39 v16) = v17 & hAPP(v5, v11) = v17 & $i(v17))))
% 297.79/67.39
% 297.79/67.39 (fact_kn)
% 297.79/67.39 $i(v_pa____) & $i(tc_Nat_Onat) & $i(tc_Complex_Ocomplex) & $i(v_k____) & ?
% 297.79/67.39 [v0: $i] : ? [v1: $i] : ? [v2: $i] : ( ~ (v2 = v0) &
% 297.79/67.39 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 297.79/67.39 v_pa____) = v0 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, v1) =
% 297.79/67.39 v2 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v2) & $i(v1) & $i(v0))
% 297.79/67.39
% 297.79/67.39 (fact_le__mult__natfloor)
% 297.79/67.39 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 297.79/67.39 $i] : (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v1 &
% 297.79/67.39 c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v2 &
% 297.79/67.39 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v2) & $i(v1) &
% 297.79/67.39 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 297.79/67.39 : ! [v8: $i] : ( ~ (c_RComplete_Onatfloor(v4) = v5) | ~
% 297.79/67.39 (c_RComplete_Onatfloor(v3) = v7) | ~ (hAPP(v6, v7) = v8) | ~ (hAPP(v1,
% 297.79/67.39 v5) = v6) | ~ $i(v4) | ~ $i(v3) | ~
% 297.79/67.39 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v4) | ~
% 297.79/67.39 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) | ? [v9: $i]
% 297.79/67.39 : ? [v10: $i] : ? [v11: $i] : (c_RComplete_Onatfloor(v10) = v11 &
% 297.79/67.39 hAPP(v9, v3) = v10 & hAPP(v2, v4) = v9 & $i(v11) & $i(v10) & $i(v9) &
% 297.79/67.39 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v8, v11))))
% 297.79/67.39
% 297.79/67.39 (fact_le__natfloor__eq)
% 297.79/67.39 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 297.79/67.39 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 297.79/67.39 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat,
% 297.79/67.39 v1) = v4) | ~ (c_RComplete_Onatfloor(v2) = v3) | ~ $i(v2) | ~
% 297.79/67.39 $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v3) | ~
% 297.79/67.39 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) |
% 297.79/67.39 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v2)) & ! [v1: $i]
% 297.79/67.39 : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 297.79/67.39 (c_RealDef_Oreal(tc_Nat_Onat, v1) = v4) | ~ (c_RComplete_Onatfloor(v2) =
% 297.79/67.39 v3) | ~ $i(v2) | ~ $i(v1) | ~
% 297.79/67.39 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v2) | ~
% 297.79/67.39 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) |
% 297.79/67.39 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v3)))
% 297.79/67.39
% 297.79/67.39 (fact_le__natfloor__eq__one)
% 297.79/67.39 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 297.79/67.39 (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 &
% 297.79/67.39 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0) & ! [v2:
% 297.79/67.39 $i] : ! [v3: $i] : ( ~ (c_RComplete_Onatfloor(v2) = v3) | ~ $i(v2) | ~
% 297.79/67.39 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v3) |
% 297.79/67.39 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v2)) & ! [v2: $i]
% 297.79/67.39 : ! [v3: $i] : ( ~ (c_RComplete_Onatfloor(v2) = v3) | ~ $i(v2) | ~
% 297.79/67.39 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v2) |
% 297.79/67.39 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v3)))
% 297.79/67.39
% 297.79/67.39 (fact_lemmaCauchy)
% 297.79/67.40 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 297.79/67.40 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : !
% 297.79/67.40 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 297.79/67.40 (c_RealVector_Onorm__class_Onorm(v4, v5) = v6) | ~ (hAPP(v1, v2) = v5) |
% 297.79/67.40 ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ class_Orderings_Oord(v3)
% 297.79/67.40 | ~ class_RealVector_Oreal__normed__vector(v4) | ? [v7: $i] : ? [v8:
% 297.79/67.40 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ($i(v8) &
% 297.79/67.40 ((c_Groups_Ominus__class_Ominus(v4, v5, v9) = v10 &
% 297.79/67.40 c_RealVector_Onorm__class_Onorm(v4, v10) = v11 & hAPP(v1, v8) = v9 &
% 297.79/67.40 $i(v11) & $i(v10) & $i(v9) & c_Orderings_Oord__class_Oless__eq(v3,
% 297.79/67.40 v2, v8) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11,
% 297.79/67.40 v0)) | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v0, v6) = v7
% 297.79/67.40 & $i(v7) & ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ( ~
% 297.79/67.40 (c_RealVector_Onorm__class_Onorm(v4, v13) = v14) | ~ (hAPP(v1,
% 297.79/67.40 v12) = v13) | ~ $i(v12) | ~
% 297.79/67.40 c_Orderings_Oord__class_Oless__eq(v3, v2, v12) |
% 297.79/67.40 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v14, v7)))))))
% 297.79/67.40
% 297.79/67.40 (fact_less__natfloor)
% 297.79/67.40 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 297.79/67.40 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 297.79/67.40 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat,
% 297.79/67.40 v1) = v3) | ~ (c_RComplete_Onatfloor(v2) = v4) | ~ $i(v2) | ~
% 297.79/67.40 $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) |
% 297.79/67.40 ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v3) |
% 297.79/67.40 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v1)))
% 297.79/67.40
% 297.79/67.40 (fact_m_I1_J)
% 297.79/67.40 $i(v_m____) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 297.79/67.40 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) &
% 297.79/67.40 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v_m____))
% 297.79/67.40
% 297.79/67.40 (fact_m_I2_J)
% 297.79/67.40 $i(v_s____) & $i(v_m____) & $i(v_w____) & $i(tc_Complex_Ocomplex) &
% 297.79/67.40 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 297.79/67.40 (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = v1 &
% 297.79/67.40 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v0 & $i(v1)
% 297.79/67.40 & $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~ (hAPP(v1, v2) = v3) | ~ $i(v2) |
% 297.79/67.40 ? [v4: $i] : ? [v5: $i] :
% 297.79/67.40 ((c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v5 & $i(v5) &
% 297.79/67.40 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v_m____)) |
% 297.79/67.40 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v4 & $i(v4)
% 297.79/67.40 & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v0)))))
% 297.79/67.40
% 297.79/67.40 (fact_mrmq__eq)
% 297.79/67.40 $i(v_q____) & $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 297.79/67.40 ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6:
% 297.79/67.40 $i] : ? [v7: $i] : (c_Polynomial_Osmult(tc_Complex_Ocomplex, v3, v_q____) =
% 297.79/67.40 v4 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v4) = v5 &
% 297.79/67.40 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v0 &
% 297.79/67.40 c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, v2) = v3 &
% 297.79/67.40 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v7 &
% 297.79/67.40 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 &
% 297.79/67.40 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v6 & hAPP(v0, v1) = v2 &
% 297.79/67.40 $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & !
% 297.79/67.40 [v8: $i] : ! [v9: $i] : ( ~ (hAPP(v5, v8) = v9) | ~ $i(v8) | ? [v10: $i]
% 297.79/67.40 : ? [v11: $i] : ? [v12: $i] :
% 297.79/67.40 ((c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v11) = v12 &
% 297.79/67.40 hAPP(v0, v8) = v11 & $i(v12) & $i(v11) &
% 297.79/67.40 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12, v7)) |
% 297.79/67.40 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v9) = v10 &
% 297.79/67.40 $i(v10) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10,
% 297.79/67.40 v6)))) & ! [v8: $i] : ! [v9: $i] : ( ~ (hAPP(v5, v8) = v9) | ~
% 297.79/67.40 $i(v8) | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] :
% 297.79/67.40 ((c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v10) = v11 &
% 297.79/67.40 hAPP(v0, v8) = v10 & $i(v11) & $i(v10) & ~
% 297.79/67.40 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11, v7)) |
% 297.79/67.40 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v9) = v12 &
% 297.79/67.40 $i(v12) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12, v6)))))
% 297.79/67.40
% 297.79/67.40 (fact_mult_Opos__bounded)
% 297.79/67.41 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 297.79/67.41 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 297.79/67.41 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 297.79/67.41 [v2: $i] : ! [v3: $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~
% 297.79/67.41 $i(v2) | ~ class_RealVector_Oreal__normed__algebra(v2) | ? [v4: $i] :
% 297.79/67.41 ($i(v4) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) & !
% 297.79/67.41 [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : !
% 297.79/67.41 [v10: $i] : ! [v11: $i] : ! [v12: $i] : ( ~
% 297.79/67.41 (c_RealVector_Onorm__class_Onorm(v2, v6) = v9) | ~
% 297.79/67.41 (c_RealVector_Onorm__class_Onorm(v2, v5) = v7) | ~ (hAPP(v11, v4) =
% 297.79/67.41 v12) | ~ (hAPP(v8, v9) = v10) | ~ (hAPP(v1, v10) = v11) | ~
% 297.79/67.41 (hAPP(v1, v7) = v8) | ~ $i(v6) | ~ $i(v5) | ? [v13: $i] : ? [v14:
% 297.79/67.41 $i] : ? [v15: $i] : (c_RealVector_Onorm__class_Onorm(v2, v14) = v15
% 297.79/67.41 & hAPP(v13, v6) = v14 & hAPP(v3, v5) = v13 & $i(v15) & $i(v14) &
% 297.79/67.41 $i(v13) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v15,
% 297.79/67.41 v12))))))
% 297.79/67.41
% 297.79/67.41 (fact_mult__1__right)
% 297.79/67.41 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 297.79/67.41 $i] : (v5 = v0 | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~
% 297.79/67.41 (c_Groups_Oone__class_Oone(v1) = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(v2,
% 297.79/67.41 v0) = v3) | ~ $i(v1) | ~ $i(v0) | ~ class_Groups_Omonoid__mult(v1))
% 297.79/67.41
% 297.79/67.41 (fact_mult__eq__0__iff)
% 297.79/67.41 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 297.79/67.41 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5)
% 297.79/67.41 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 297.79/67.41 class_Rings_Oring__no__zero__divisors(v2) | ? [v6: $i] :
% 297.79/67.41 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~ (v6 = v5) | v5 = v1 |
% 297.79/67.41 v5 = v0) & (v6 = v5 | ( ~ (v6 = v1) & ~ (v6 = v0)))))
% 297.79/67.41
% 297.79/67.41 (fact_mult__eq__if)
% 297.79/67.41 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 297.79/67.41 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v1 &
% 297.79/67.41 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 &
% 297.79/67.41 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v2 & $i(v2) & $i(v1) & $i(v0) & !
% 297.79/67.41 [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8:
% 297.79/67.41 $i] : (v4 = v0 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v4, v2) =
% 297.79/67.41 v5) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v7) = v8) | ~
% 297.79/67.41 (hAPP(v6, v3) = v7) | ~ (hAPP(v1, v5) = v6) | ~ $i(v4) | ~ $i(v3) | ?
% 297.79/67.41 [v9: $i] : (hAPP(v9, v3) = v8 & hAPP(v1, v4) = v9 & $i(v9) & $i(v8))) & !
% 297.79/67.41 [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 = v0 | ~ (hAPP(v4, v3) = v5) |
% 297.79/67.41 ~ (hAPP(v1, v0) = v4) | ~ $i(v3)))
% 297.79/67.41
% 297.79/67.41 (fact_mult__eq__self__implies__10)
% 297.79/67.41 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 297.79/67.41 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 297.79/67.41 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v2 &
% 297.79/67.41 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v2) & $i(v1) & $i(v0) & !
% 297.79/67.41 [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v4 = v2 | v3 = v1 | ~ (hAPP(v5, v3)
% 297.79/67.41 = v4) | ~ (hAPP(v0, v4) = v5) | ~ $i(v4) | ~ $i(v3)))
% 297.79/67.41
% 297.79/67.41 (fact_mult__le__0__iff)
% 297.79/67.41 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 297.79/67.41 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5)
% 297.79/67.41 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 297.79/67.41 class_Rings_Olinordered__ring__strict(v2) | ? [v6: $i] :
% 297.79/67.41 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~
% 297.79/67.41 c_Orderings_Oord__class_Oless__eq(v2, v5, v6) |
% 297.79/67.41 (c_Orderings_Oord__class_Oless__eq(v2, v6, v1) &
% 297.79/67.41 c_Orderings_Oord__class_Oless__eq(v2, v0, v6)) |
% 297.79/67.41 (c_Orderings_Oord__class_Oless__eq(v2, v6, v0) &
% 297.79/67.41 c_Orderings_Oord__class_Oless__eq(v2, v1, v6))) &
% 297.79/67.41 (c_Orderings_Oord__class_Oless__eq(v2, v5, v6) | (( ~
% 297.79/67.41 c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | ~
% 297.79/67.41 c_Orderings_Oord__class_Oless__eq(v2, v0, v6)) & ( ~
% 297.79/67.41 c_Orderings_Oord__class_Oless__eq(v2, v6, v0) | ~
% 297.79/67.41 c_Orderings_Oord__class_Oless__eq(v2, v1, v6))))))
% 297.79/67.41
% 297.79/67.41 (fact_mult__left_Opos__bounded)
% 297.79/67.42 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 297.79/67.42 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 297.79/67.42 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & ?
% 297.79/67.42 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 297.79/67.42 (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~
% 297.79/67.42 class_RealVector_Oreal__normed__algebra(v3) | ? [v5: $i] : ($i(v5) &
% 297.79/67.42 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v5) & ! [v6: $i] :
% 297.79/67.42 ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~
% 297.79/67.42 (c_RealVector_Onorm__class_Onorm(v3, v6) = v7) | ~ (hAPP(v8, v5) =
% 297.79/67.42 v9) | ~ (hAPP(v1, v7) = v8) | ~ $i(v6) | ? [v10: $i] : ? [v11:
% 297.79/67.42 $i] : ? [v12: $i] : (c_RealVector_Onorm__class_Onorm(v3, v11) = v12
% 297.79/67.42 & hAPP(v10, v2) = v11 & hAPP(v4, v6) = v10 & $i(v12) & $i(v11) &
% 297.79/67.42 $i(v10) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v12,
% 297.79/67.42 v9))))))
% 297.79/67.42
% 297.79/67.42 (fact_mult__less__cancel__left__disj)
% 297.79/67.42 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 297.79/67.42 $i] : ! [v6: $i] : ! [v7: $i] : ( ~ (c_Groups_Otimes__class_Otimes(v3) =
% 297.79/67.42 v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) =
% 297.79/67.42 v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 297.79/67.42 class_Rings_Olinordered__ring__strict(v3) | ? [v8: $i] : (( ~
% 297.79/67.42 c_Orderings_Oord__class_Oless(v3, v6, v7) |
% 297.79/67.42 (c_Groups_Ozero__class_Ozero(v3) = v8 & $i(v8) &
% 297.79/67.42 c_Orderings_Oord__class_Oless(v3, v8, v2) &
% 297.79/67.42 c_Orderings_Oord__class_Oless(v3, v1, v0)) |
% 297.79/67.42 (c_Groups_Ozero__class_Ozero(v3) = v8 & $i(v8) &
% 297.79/67.42 c_Orderings_Oord__class_Oless(v3, v2, v8) &
% 297.79/67.42 c_Orderings_Oord__class_Oless(v3, v0, v1))) &
% 297.79/67.42 (c_Orderings_Oord__class_Oless(v3, v6, v7) | (( ~
% 297.79/67.42 c_Orderings_Oord__class_Oless(v3, v1, v0) |
% 297.79/67.42 (c_Groups_Ozero__class_Ozero(v3) = v8 & $i(v8) & ~
% 297.79/67.42 c_Orderings_Oord__class_Oless(v3, v8, v2))) & ( ~
% 297.79/67.42 c_Orderings_Oord__class_Oless(v3, v0, v1) |
% 297.79/67.42 (c_Groups_Ozero__class_Ozero(v3) = v8 & $i(v8) & ~
% 297.79/67.42 c_Orderings_Oord__class_Oless(v3, v2, v8)))))))
% 297.79/67.42
% 297.79/67.42 (fact_mult__neg__neg)
% 297.79/67.42 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 297.79/67.42 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5)
% 297.79/67.42 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 297.79/67.42 class_Rings_Olinordered__ring__strict(v2) | ? [v6: $i] :
% 297.79/67.42 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~
% 297.79/67.42 c_Orderings_Oord__class_Oless(v2, v1, v6) | ~
% 297.79/67.42 c_Orderings_Oord__class_Oless(v2, v0, v6) |
% 297.79/67.42 c_Orderings_Oord__class_Oless(v2, v6, v5))))
% 297.79/67.42
% 297.79/67.42 (fact_mult__nonneg__nonneg)
% 297.79/67.42 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 297.79/67.42 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5)
% 297.79/67.42 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 297.79/67.42 class_Rings_Oordered__cancel__semiring(v2) | ? [v6: $i] :
% 297.79/67.42 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~
% 297.79/67.42 c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | ~
% 297.79/67.42 c_Orderings_Oord__class_Oless__eq(v2, v6, v0) |
% 297.79/67.42 c_Orderings_Oord__class_Oless__eq(v2, v6, v5))))
% 297.79/67.42
% 297.79/67.42 (fact_mult__nonneg__nonpos)
% 297.79/67.42 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 297.79/67.42 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5)
% 297.79/67.42 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 297.79/67.42 class_Rings_Oordered__cancel__semiring(v2) | ? [v6: $i] :
% 297.79/67.42 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~
% 297.79/67.42 c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | ~
% 297.79/67.42 c_Orderings_Oord__class_Oless__eq(v2, v0, v6) |
% 297.79/67.42 c_Orderings_Oord__class_Oless__eq(v2, v5, v6))))
% 297.79/67.42
% 297.79/67.42 (fact_mult__nonneg__nonpos2)
% 297.79/67.42 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 297.79/67.42 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v1) = v5)
% 297.79/67.42 | ~ (hAPP(v3, v0) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 297.79/67.42 class_Rings_Oordered__cancel__semiring(v2) | ? [v6: $i] :
% 297.79/67.42 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~
% 297.79/67.42 c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | ~
% 297.79/67.42 c_Orderings_Oord__class_Oless__eq(v2, v0, v6) |
% 297.79/67.42 c_Orderings_Oord__class_Oless__eq(v2, v5, v6))))
% 297.79/67.42
% 297.79/67.42 (fact_mult__nonpos__nonpos)
% 297.79/67.42 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 297.79/67.42 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5)
% 297.79/67.42 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 297.79/67.42 class_Rings_Oordered__ring(v2) | ? [v6: $i] :
% 297.79/67.42 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~
% 297.79/67.42 c_Orderings_Oord__class_Oless__eq(v2, v1, v6) | ~
% 297.79/67.42 c_Orderings_Oord__class_Oless__eq(v2, v0, v6) |
% 297.79/67.42 c_Orderings_Oord__class_Oless__eq(v2, v6, v5))))
% 297.79/67.42
% 297.79/67.42 (fact_mult__pos__neg)
% 297.79/67.42 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 297.79/67.42 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5)
% 297.79/67.42 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 297.79/67.42 class_Rings_Olinordered__semiring__strict(v2) | ? [v6: $i] :
% 297.79/67.42 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~
% 297.79/67.42 c_Orderings_Oord__class_Oless(v2, v6, v1) | ~
% 297.79/67.42 c_Orderings_Oord__class_Oless(v2, v0, v6) |
% 297.79/67.42 c_Orderings_Oord__class_Oless(v2, v5, v6))))
% 297.79/67.42
% 297.79/67.42 (fact_mult__pos__neg2)
% 297.79/67.42 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 297.79/67.42 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v1) = v5)
% 297.79/67.42 | ~ (hAPP(v3, v0) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 297.79/67.42 class_Rings_Olinordered__semiring__strict(v2) | ? [v6: $i] :
% 297.79/67.42 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~
% 297.79/67.42 c_Orderings_Oord__class_Oless(v2, v6, v1) | ~
% 297.79/67.42 c_Orderings_Oord__class_Oless(v2, v0, v6) |
% 297.79/67.42 c_Orderings_Oord__class_Oless(v2, v5, v6))))
% 297.79/67.42
% 297.79/67.42 (fact_mult__pos__pos)
% 297.79/67.42 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 297.79/67.42 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5)
% 297.79/67.42 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 297.79/67.43 class_Rings_Olinordered__semiring__strict(v2) | ? [v6: $i] :
% 297.79/67.43 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~
% 297.79/67.43 c_Orderings_Oord__class_Oless(v2, v6, v1) | ~
% 297.79/67.43 c_Orderings_Oord__class_Oless(v2, v6, v0) |
% 297.79/67.43 c_Orderings_Oord__class_Oless(v2, v6, v5))))
% 297.79/67.43
% 297.79/67.43 (fact_mult__right_Opos__bounded)
% 297.79/67.43 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 297.79/67.43 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 297.79/67.43 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 297.79/67.43 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 297.79/67.43 (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v4, v2) = v5) | ~
% 297.79/67.43 $i(v3) | ~ $i(v2) | ~ class_RealVector_Oreal__normed__algebra(v3) | ?
% 297.79/67.43 [v6: $i] : ($i(v6) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 297.79/67.43 v6) & ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ( ~
% 297.79/67.43 (c_RealVector_Onorm__class_Onorm(v3, v7) = v8) | ~ (hAPP(v9, v6) =
% 297.79/67.43 v10) | ~ (hAPP(v1, v8) = v9) | ~ $i(v7) | ? [v11: $i] : ? [v12:
% 297.79/67.43 $i] : (c_RealVector_Onorm__class_Onorm(v3, v11) = v12 & hAPP(v5, v7)
% 297.79/67.43 = v11 & $i(v12) & $i(v11) &
% 297.79/67.43 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v12, v10))))))
% 297.79/67.43
% 297.79/67.43 (fact_mult__strict__left__mono)
% 297.79/67.43 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 297.79/67.43 $i] : ! [v6: $i] : ! [v7: $i] : ( ~ (c_Groups_Otimes__class_Otimes(v3) =
% 297.79/67.43 v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v5, v1) = v7) | ~ (hAPP(v4, v0) =
% 297.79/67.43 v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 297.79/67.43 class_Rings_Olinordered__semiring__strict(v3) | ~
% 297.79/67.43 c_Orderings_Oord__class_Oless(v3, v2, v1) |
% 297.79/67.43 c_Orderings_Oord__class_Oless(v3, v6, v7) | ? [v8: $i] :
% 297.79/67.43 (c_Groups_Ozero__class_Ozero(v3) = v8 & $i(v8) & ~
% 297.79/67.43 c_Orderings_Oord__class_Oless(v3, v8, v0)))
% 297.79/67.43
% 297.79/67.43 (fact_nat__1__eq__mult__iff)
% 297.79/67.43 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 297.79/67.43 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v1 &
% 297.79/67.43 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v1) & $i(v0) & ! [v2: $i]
% 297.79/67.43 : ! [v3: $i] : ! [v4: $i] : (v3 = v0 | ~ (hAPP(v4, v2) = v0) | ~
% 297.79/67.43 (hAPP(v1, v3) = v4) | ~ $i(v3) | ~ $i(v2)) & ! [v2: $i] : ! [v3: $i] :
% 297.79/67.43 ! [v4: $i] : (v2 = v0 | ~ (hAPP(v4, v2) = v0) | ~ (hAPP(v1, v3) = v4) |
% 297.79/67.43 ~ $i(v3) | ~ $i(v2)) & ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 297.79/67.43 (hAPP(v2, v0) = v3) | ~ (hAPP(v1, v0) = v2)))
% 297.79/67.43
% 297.79/67.43 (fact_nat__le__real__less)
% 297.79/67.43 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 297.79/67.43 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : !
% 297.79/67.43 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v2)
% 297.79/67.43 = v3) | ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) = v4) | ~ $i(v2) | ~
% 297.79/67.43 $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | ?
% 297.79/67.43 [v5: $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v0) = v5 &
% 297.79/67.43 $i(v5) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v5))) & !
% 297.79/67.43 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 297.79/67.43 (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3) | ~ (c_RealDef_Oreal(tc_Nat_Onat,
% 297.79/67.43 v1) = v4) | ~ $i(v2) | ~ $i(v1) |
% 297.79/67.43 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | ? [v5: $i] :
% 297.79/67.43 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v0) = v5 & $i(v5) & ~
% 297.79/67.43 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v5))))
% 297.79/67.43
% 297.79/67.43 (fact_nat__less__real__le)
% 297.79/67.43 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 297.79/67.43 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : !
% 297.79/67.43 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v2)
% 297.79/67.43 = v3) | ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) = v4) | ~ $i(v2) | ~
% 297.79/67.43 $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ? [v5:
% 297.79/67.43 $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v0) = v5 &
% 297.79/67.43 $i(v5) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v4))) &
% 297.79/67.43 ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 297.79/67.43 (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3) | ~ (c_RealDef_Oreal(tc_Nat_Onat,
% 297.79/67.43 v1) = v4) | ~ $i(v2) | ~ $i(v1) |
% 297.79/67.43 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ? [v5: $i] :
% 297.79/67.43 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v0) = v5 & $i(v5) & ~
% 297.79/67.43 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v4))))
% 297.79/67.43
% 297.79/67.43 (fact_nat__mult__1)
% 297.79/67.43 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 297.79/67.43 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 297.79/67.43 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & hAPP(v0, v1) = v2 & $i(v2) &
% 297.79/67.43 $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : (v4 = v3 | ~ (hAPP(v2, v3) =
% 297.79/67.43 v4) | ~ $i(v3)))
% 297.79/67.43
% 297.79/67.43 (fact_nat__mult__1__right)
% 297.79/67.43 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 297.79/67.43 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 297.79/67.43 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v1) & $i(v0) & ! [v2: $i]
% 297.79/67.43 : ! [v3: $i] : ( ~ (hAPP(v0, v2) = v3) | ~ $i(v2) | hAPP(v3, v1) = v2))
% 297.79/67.43
% 297.79/67.43 (fact_nat__mult__eq__1__iff)
% 297.79/67.43 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 297.79/67.43 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 297.79/67.43 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v1) & $i(v0) & ! [v2: $i]
% 297.79/67.43 : ! [v3: $i] : ! [v4: $i] : (v3 = v1 | ~ (hAPP(v4, v2) = v1) | ~
% 297.79/67.43 (hAPP(v0, v3) = v4) | ~ $i(v3) | ~ $i(v2)) & ! [v2: $i] : ! [v3: $i] :
% 297.79/67.43 ! [v4: $i] : (v2 = v1 | ~ (hAPP(v4, v2) = v1) | ~ (hAPP(v0, v3) = v4) |
% 297.79/67.43 ~ $i(v3) | ~ $i(v2)) & ! [v2: $i] : ! [v3: $i] : (v3 = v1 | ~
% 297.79/67.43 (hAPP(v2, v1) = v3) | ~ (hAPP(v0, v1) = v2)))
% 297.79/67.43
% 297.79/67.43 (fact_natceiling__add)
% 297.79/67.43 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 297.79/67.43 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 297.79/67.43 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat,
% 297.79/67.43 v1) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v3)
% 297.79/67.43 = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 297.79/67.43 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) | ? [v5: $i]
% 297.79/67.43 : ? [v6: $i] : (c_RComplete_Onatceiling(v4) = v5 &
% 297.79/67.43 c_RComplete_Onatceiling(v2) = v6 &
% 297.79/67.43 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v6, v1) = v5 & $i(v6) &
% 297.79/67.43 $i(v5))))
% 297.79/67.43
% 297.79/67.43 (fact_natceiling__add__one)
% 297.79/67.44 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 297.79/67.44 $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 297.79/67.44 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v2 &
% 297.79/67.44 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & $i(v2) & $i(v1) & $i(v0)
% 297.79/67.44 & ! [v3: $i] : ! [v4: $i] : ( ~
% 297.79/67.44 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v1) = v4) | ~ $i(v3) |
% 297.79/67.44 ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) | ? [v5:
% 297.79/67.44 $i] : ? [v6: $i] : (c_RComplete_Onatceiling(v4) = v5 &
% 297.79/67.44 c_RComplete_Onatceiling(v3) = v6 &
% 297.79/67.44 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v6, v2) = v5 & $i(v6) &
% 297.79/67.44 $i(v5))))
% 297.79/67.44
% 297.79/67.44 (fact_natceiling__eq)
% 297.79/67.44 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 297.79/67.44 (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 &
% 297.79/67.44 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & ! [v2:
% 297.79/67.44 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 = v4 | ~
% 297.79/67.44 (c_RComplete_Onatceiling(v2) = v4) | ~
% 297.79/67.44 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v1) = v5) | ~ $i(v3) | ~
% 297.79/67.44 $i(v2) | ? [v6: $i] : ? [v7: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v3) =
% 297.79/67.44 v6 & $i(v6) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6,
% 297.79/67.44 v2) | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v6, v0) = v7 &
% 297.79/67.44 $i(v7) & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2,
% 297.79/67.44 v7))))))
% 297.79/67.44
% 297.79/67.44 (fact_natceiling__le__eq)
% 297.79/67.44 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 297.79/67.44 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 297.79/67.44 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat,
% 297.79/67.44 v1) = v4) | ~ (c_RComplete_Onatceiling(v2) = v3) | ~ $i(v2) | ~
% 297.79/67.44 $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v1) | ~
% 297.79/67.44 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) |
% 297.79/67.44 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v4)) & ! [v1: $i]
% 297.79/67.44 : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 297.79/67.44 (c_RealDef_Oreal(tc_Nat_Onat, v1) = v4) | ~ (c_RComplete_Onatceiling(v2)
% 297.79/67.44 = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 297.79/67.44 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v4) | ~
% 297.79/67.44 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) |
% 297.79/67.44 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v1)))
% 297.79/67.44
% 297.79/67.44 (fact_natceiling__le__eq__one)
% 297.79/67.44 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 297.79/67.44 (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 &
% 297.79/67.44 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0) & ! [v2:
% 297.79/67.44 $i] : ! [v3: $i] : ( ~ (c_RComplete_Onatceiling(v2) = v3) | ~ $i(v2) |
% 297.79/67.44 ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v0) |
% 297.79/67.44 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1)) & ! [v2: $i]
% 297.79/67.44 : ! [v3: $i] : ( ~ (c_RComplete_Onatceiling(v2) = v3) | ~ $i(v2) | ~
% 297.79/67.44 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1) |
% 297.79/67.44 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v0)))
% 297.79/67.44
% 297.79/67.44 (fact_natceiling__neg)
% 297.79/67.44 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 297.79/67.44 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 &
% 297.79/67.44 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 297.79/67.44 [v2: $i] : ! [v3: $i] : (v3 = v1 | ~ (c_RComplete_Onatceiling(v2) = v3) |
% 297.79/67.44 ~ $i(v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2,
% 297.79/67.44 v0)))
% 297.79/67.44
% 297.79/67.44 (fact_natceiling__one)
% 297.79/67.44 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 297.79/67.44 (c_RComplete_Onatceiling(v0) = v1 & c_Groups_Oone__class_Oone(tc_Nat_Onat) =
% 297.79/67.44 v1 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0))
% 297.79/67.44
% 297.79/67.44 (fact_natceiling__zero)
% 297.79/67.44 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 297.79/67.44 (c_RComplete_Onatceiling(v0) = v1 & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) =
% 297.79/67.44 v1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0))
% 297.79/67.44
% 297.79/67.44 (fact_natfloor__add)
% 297.79/67.44 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 297.79/67.44 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 297.79/67.44 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat,
% 297.79/67.44 v1) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v3)
% 297.79/67.44 = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 297.79/67.44 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) | ? [v5: $i]
% 297.79/67.44 : ? [v6: $i] : (c_RComplete_Onatfloor(v4) = v5 &
% 297.79/67.44 c_RComplete_Onatfloor(v2) = v6 &
% 297.79/67.44 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v6, v1) = v5 & $i(v6) &
% 297.79/67.44 $i(v5))))
% 297.79/67.44
% 297.79/67.44 (fact_natfloor__add__one)
% 297.79/67.44 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 297.79/67.44 $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 297.79/67.44 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v2 &
% 297.79/67.44 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & $i(v2) & $i(v1) & $i(v0)
% 297.79/67.44 & ! [v3: $i] : ! [v4: $i] : ( ~
% 297.79/67.44 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v1) = v4) | ~ $i(v3) |
% 297.79/67.44 ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) | ? [v5:
% 297.79/67.44 $i] : ? [v6: $i] : (c_RComplete_Onatfloor(v4) = v5 &
% 297.79/67.44 c_RComplete_Onatfloor(v3) = v6 &
% 297.79/67.44 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v6, v2) = v5 & $i(v6) &
% 297.79/67.44 $i(v5))))
% 297.79/67.44
% 297.79/67.44 (fact_natfloor__eq)
% 297.79/67.44 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 297.79/67.44 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : !
% 297.79/67.44 [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v2 | ~
% 297.79/67.44 (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3) | ~ (c_RComplete_Onatfloor(v1) =
% 297.79/67.44 v4) | ~ $i(v2) | ~ $i(v1) | ~
% 297.79/67.44 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v1) | ? [v5: $i]
% 297.79/67.44 : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v0) = v5 & $i(v5) &
% 297.79/67.44 ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v5))))
% 297.79/67.44
% 297.79/67.44 (fact_natfloor__neg)
% 297.79/67.44 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 297.79/67.44 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 &
% 297.79/67.44 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 297.79/67.44 [v2: $i] : ! [v3: $i] : (v3 = v1 | ~ (c_RComplete_Onatfloor(v2) = v3) | ~
% 297.79/67.44 $i(v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0)))
% 297.79/67.44
% 297.79/67.44 (fact_natfloor__one)
% 297.79/67.44 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 297.79/67.44 (c_RComplete_Onatfloor(v0) = v1 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1
% 297.79/67.44 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0))
% 297.79/67.44
% 297.79/67.44 (fact_natfloor__power)
% 297.79/67.45 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 297.79/67.45 (c_Power_Opower__class_Opower(tc_Nat_Onat) = v1 &
% 297.79/67.45 c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 297.79/67.45 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 297.79/67.45 (c_RComplete_Onatfloor(v3) = v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v1,
% 297.79/67.45 v4) = v5) | ~ $i(v3) | ~ $i(v2) | ? [v7: $i] : ? [v8: $i] : ?
% 297.79/67.45 [v9: $i] : ? [v10: $i] : ((v10 = v6 & c_RComplete_Onatfloor(v9) = v6 &
% 297.79/67.45 hAPP(v8, v2) = v9 & hAPP(v0, v3) = v8 & $i(v9) & $i(v8) & $i(v6)) | (
% 297.79/67.45 ~ (v7 = v3) & c_RealDef_Oreal(tc_Nat_Onat, v4) = v7 & $i(v7)))))
% 297.79/67.45
% 297.79/67.45 (fact_natfloor__zero)
% 297.79/67.45 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 297.79/67.45 (c_RComplete_Onatfloor(v0) = v1 & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) =
% 297.79/67.45 v1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0))
% 297.79/67.45
% 297.79/67.45 (fact_neg__0__equal__iff__equal)
% 297.79/67.45 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 297.79/67.45 (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 297.79/67.45 class_Groups_Ogroup__add(v1) | ? [v3: $i] :
% 297.79/67.45 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~ (v3 = v2) | v2 = v0) &
% 297.79/67.45 ( ~ (v3 = v0) | v2 = v0)))
% 297.79/67.45
% 297.79/67.45 (fact_neg__0__le__iff__le)
% 297.79/67.45 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 297.79/67.45 (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 297.79/67.45 class_Groups_Oordered__ab__group__add(v1) | ? [v3: $i] :
% 297.79/67.45 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~
% 297.79/67.45 c_Orderings_Oord__class_Oless__eq(v1, v3, v2) |
% 297.79/67.45 c_Orderings_Oord__class_Oless__eq(v1, v0, v3)) & ( ~
% 297.79/67.45 c_Orderings_Oord__class_Oless__eq(v1, v0, v3) |
% 297.79/67.45 c_Orderings_Oord__class_Oless__eq(v1, v3, v2))))
% 297.79/67.45
% 297.79/67.45 (fact_neg__0__less__iff__less)
% 297.79/67.45 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 297.79/67.45 (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 297.79/67.45 class_Groups_Oordered__ab__group__add(v1) | ? [v3: $i] :
% 297.79/67.45 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~
% 297.79/67.45 c_Orderings_Oord__class_Oless(v1, v3, v2) |
% 297.79/67.45 c_Orderings_Oord__class_Oless(v1, v0, v3)) & ( ~
% 297.79/67.45 c_Orderings_Oord__class_Oless(v1, v0, v3) |
% 297.79/67.45 c_Orderings_Oord__class_Oless(v1, v3, v2))))
% 297.79/67.45
% 297.79/67.45 (fact_neg__equal__0__iff__equal)
% 297.79/67.45 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 297.79/67.45 (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 297.79/67.45 class_Groups_Ogroup__add(v1) | ? [v3: $i] :
% 297.79/67.45 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~ (v3 = v2) | v2 = v0) &
% 297.79/67.45 ( ~ (v3 = v0) | v2 = v0)))
% 297.79/67.45
% 297.79/67.45 (fact_neg__equal__zero)
% 297.79/67.45 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 297.79/67.45 (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 297.79/67.45 class_Groups_Olinordered__ab__group__add(v1) | ? [v3: $i] : (( ~ (v2 = v0)
% 297.79/67.45 | (v3 = v0 & c_Groups_Ozero__class_Ozero(v1) = v0)) & (v2 = v0 | ( ~ (v3
% 297.79/67.45 = v0) & c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3)))))
% 297.79/67.45
% 297.79/67.45 (fact_neg__le__0__iff__le)
% 297.79/67.45 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 297.79/67.45 (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 297.79/67.45 class_Groups_Oordered__ab__group__add(v1) | ? [v3: $i] :
% 297.79/67.45 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~
% 297.79/67.45 c_Orderings_Oord__class_Oless__eq(v1, v3, v0) |
% 297.79/67.45 c_Orderings_Oord__class_Oless__eq(v1, v2, v3)) & ( ~
% 297.79/67.45 c_Orderings_Oord__class_Oless__eq(v1, v2, v3) |
% 297.79/67.45 c_Orderings_Oord__class_Oless__eq(v1, v3, v0))))
% 297.79/67.45
% 297.79/67.45 (fact_neg__less__0__iff__less)
% 297.79/67.45 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 297.79/67.45 (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 297.79/67.45 class_Groups_Oordered__ab__group__add(v1) | ? [v3: $i] :
% 297.79/67.45 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~
% 297.79/67.45 c_Orderings_Oord__class_Oless(v1, v3, v0) |
% 297.79/67.45 c_Orderings_Oord__class_Oless(v1, v2, v3)) & ( ~
% 297.79/67.45 c_Orderings_Oord__class_Oless(v1, v2, v3) |
% 297.79/67.45 c_Orderings_Oord__class_Oless(v1, v3, v0))))
% 297.79/67.45
% 297.79/67.45 (fact_negative__imp__inverse__negative)
% 297.79/67.45 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 297.79/67.45 (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 297.79/67.45 class_Fields_Olinordered__field(v1) | ? [v3: $i] :
% 297.79/67.45 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~
% 297.79/67.45 c_Orderings_Oord__class_Oless(v1, v0, v3) |
% 297.79/67.45 c_Orderings_Oord__class_Oless(v1, v2, v3))))
% 297.79/67.45
% 297.79/67.45 (fact_no__zero__divisors)
% 297.79/67.45 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 297.79/67.45 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5)
% 297.79/67.45 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 297.79/67.45 class_Rings_Ono__zero__divisors(v2) | ? [v6: $i] :
% 297.79/67.45 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~ (v6 = v5) | v5 = v1 |
% 297.79/67.45 v5 = v0)))
% 297.79/67.45
% 297.79/67.45 (fact_nonzero__imp__inverse__nonzero)
% 297.79/67.45 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 297.79/67.45 (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 297.79/67.45 class_Rings_Odivision__ring(v1) | ? [v3: $i] :
% 297.79/67.45 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~ (v3 = v2) | v2 = v0)))
% 297.79/67.45
% 297.79/67.45 (fact_nonzero__of__real__inverse)
% 298.24/67.45 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 298.24/67.45 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 298.24/67.45 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 298.24/67.45 (c_RealVector_Oof__real(v2, v3) = v4) | ~
% 298.24/67.45 (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v1) = v3) | ~ $i(v2)
% 298.24/67.45 | ~ $i(v1) | ~ class_RealVector_Oreal__div__algebra(v2) | ? [v5: $i] :
% 298.24/67.45 (c_RealVector_Oof__real(v2, v1) = v5 &
% 298.24/67.45 c_Rings_Oinverse__class_Oinverse(v2, v5) = v4 & $i(v5) & $i(v4))))
% 298.24/67.45
% 298.24/67.45 (fact_norm__eq__zero)
% 298.24/67.45 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 298.24/67.45 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 298.24/67.45 ! [v2: $i] : ! [v3: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v2, v1) =
% 298.24/67.45 v3) | ~ $i(v2) | ~ $i(v1) | ~
% 298.24/67.45 class_RealVector_Oreal__normed__vector(v2) | ? [v4: $i] : (( ~ (v3 = v0)
% 298.24/67.45 | (v4 = v1 & c_Groups_Ozero__class_Ozero(v2) = v1)) & (v3 = v0 | ( ~
% 298.24/67.45 (v4 = v1) & c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4))))))
% 298.24/67.45
% 298.24/67.45 (fact_norm__ge__zero)
% 298.24/67.45 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 298.24/67.45 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 298.24/67.45 ! [v2: $i] : ! [v3: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v2, v1) =
% 298.24/67.45 v3) | ~ $i(v2) | ~ $i(v1) | ~
% 298.24/67.45 class_RealVector_Oreal__normed__vector(v2) |
% 298.24/67.45 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3)))
% 298.24/67.45
% 298.24/67.45 (fact_norm__le__zero__iff)
% 298.24/67.46 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 298.24/67.46 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 298.24/67.46 ! [v2: $i] : ! [v3: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v2, v1) =
% 298.24/67.46 v3) | ~ $i(v2) | ~ $i(v1) | ~
% 298.24/67.46 class_RealVector_Oreal__normed__vector(v2) | ? [v4: $i] : (( ~
% 298.24/67.46 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0) | (v4 = v1
% 298.24/67.46 & c_Groups_Ozero__class_Ozero(v2) = v1)) &
% 298.24/67.46 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0) | ( ~ (v4 =
% 298.24/67.46 v1) & c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4))))))
% 298.24/67.46
% 298.24/67.46 (fact_norm__mult)
% 298.24/67.46 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 298.24/67.46 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 298.24/67.46 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 298.24/67.46 [v7: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v3, v2) = v4) | ~
% 298.24/67.46 (c_RealVector_Onorm__class_Onorm(v3, v1) = v6) | ~ (hAPP(v5, v6) = v7) |
% 298.24/67.46 ~ (hAPP(v0, v4) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 298.24/67.46 class_RealVector_Oreal__normed__div__algebra(v3) | ? [v8: $i] : ? [v9:
% 298.24/67.46 $i] : ? [v10: $i] : (c_Groups_Otimes__class_Otimes(v3) = v8 &
% 298.24/67.46 c_RealVector_Onorm__class_Onorm(v3, v10) = v7 & hAPP(v9, v1) = v10 &
% 298.24/67.46 hAPP(v8, v2) = v9 & $i(v10) & $i(v9) & $i(v8) & $i(v7))))
% 298.24/67.46
% 298.24/67.46 (fact_norm__mult__ineq)
% 298.24/67.46 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 298.24/67.46 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 298.24/67.46 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 298.24/67.46 [v7: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v3, v2) = v4) | ~
% 298.24/67.46 (c_RealVector_Onorm__class_Onorm(v3, v1) = v6) | ~ (hAPP(v5, v6) = v7) |
% 298.24/67.46 ~ (hAPP(v0, v4) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 298.24/67.46 class_RealVector_Oreal__normed__algebra(v3) | ? [v8: $i] : ? [v9: $i] :
% 298.24/67.46 ? [v10: $i] : ? [v11: $i] : (c_Groups_Otimes__class_Otimes(v3) = v8 &
% 298.24/67.46 c_RealVector_Onorm__class_Onorm(v3, v10) = v11 & hAPP(v9, v1) = v10 &
% 298.24/67.46 hAPP(v8, v2) = v9 & $i(v11) & $i(v10) & $i(v9) & $i(v8) &
% 298.24/67.46 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v11, v7))))
% 298.24/67.46
% 298.24/67.46 (fact_norm__mult__less)
% 298.24/67.46 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 298.24/67.46 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 298.24/67.46 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 298.24/67.46 [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~
% 298.24/67.46 (c_Groups_Otimes__class_Otimes(v5) = v6) | ~
% 298.24/67.46 (c_RealVector_Onorm__class_Onorm(v5, v8) = v9) | ~ (hAPP(v10, v1) = v11)
% 298.24/67.46 | ~ (hAPP(v7, v2) = v8) | ~ (hAPP(v6, v4) = v7) | ~ (hAPP(v0, v3) =
% 298.24/67.46 v10) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 298.24/67.46 class_RealVector_Oreal__normed__algebra(v5) |
% 298.24/67.46 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9, v11) | ? [v12: $i] :
% 298.24/67.46 ? [v13: $i] : ((c_RealVector_Onorm__class_Onorm(v5, v4) = v12 & $i(v12) &
% 298.24/67.46 ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12, v3)) |
% 298.24/67.46 (c_RealVector_Onorm__class_Onorm(v5, v2) = v13 & $i(v13) & ~
% 298.24/67.46 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v13, v1)))))
% 298.24/67.46
% 298.24/67.46 (fact_norm__not__less__zero)
% 298.24/67.46 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 298.24/67.46 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 298.24/67.46 ! [v2: $i] : ! [v3: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v2, v1) =
% 298.24/67.46 v3) | ~ $i(v2) | ~ $i(v1) | ~
% 298.24/67.46 class_RealVector_Oreal__normed__vector(v2) | ~
% 298.24/67.46 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0)))
% 298.24/67.46
% 298.24/67.46 (fact_norm__one)
% 298.24/67.46 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 298.24/67.46 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : !
% 298.24/67.46 [v2: $i] : ! [v3: $i] : (v3 = v0 | ~ (c_RealVector_Onorm__class_Onorm(v1,
% 298.24/67.46 v2) = v3) | ~ (c_Groups_Oone__class_Oone(v1) = v2) | ~ $i(v1) | ~
% 298.24/67.46 class_RealVector_Oreal__normed__algebra__1(v1)))
% 298.24/67.46
% 298.24/67.46 (fact_norm__power)
% 298.24/67.46 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 298.24/67.46 (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 298.24/67.46 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 298.24/67.46 (c_RealVector_Onorm__class_Onorm(v3, v2) = v4) | ~ (hAPP(v5, v1) = v6) |
% 298.24/67.46 ~ (hAPP(v0, v4) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 298.24/67.46 class_RealVector_Oreal__normed__div__algebra(v3) | ? [v7: $i] : ? [v8:
% 298.24/67.46 $i] : ? [v9: $i] : (c_RealVector_Onorm__class_Onorm(v3, v9) = v6 &
% 298.24/67.46 c_Power_Opower__class_Opower(v3) = v7 & hAPP(v8, v1) = v9 & hAPP(v7, v2)
% 298.24/67.46 = v8 & $i(v9) & $i(v8) & $i(v7) & $i(v6))))
% 298.24/67.46
% 298.24/67.46 (fact_norm__power__ineq)
% 298.24/67.46 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 298.24/67.46 (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 298.24/67.46 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 298.24/67.46 (c_RealVector_Onorm__class_Onorm(v3, v2) = v4) | ~ (hAPP(v5, v1) = v6) |
% 298.24/67.46 ~ (hAPP(v0, v4) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 298.24/67.46 class_RealVector_Oreal__normed__algebra__1(v3) | ? [v7: $i] : ? [v8: $i]
% 298.24/67.46 : ? [v9: $i] : ? [v10: $i] : (c_RealVector_Onorm__class_Onorm(v3, v9) =
% 298.24/67.46 v10 & c_Power_Opower__class_Opower(v3) = v7 & hAPP(v8, v1) = v9 &
% 298.24/67.46 hAPP(v7, v2) = v8 & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 298.24/67.46 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, v6))))
% 298.24/67.46
% 298.24/67.46 (fact_norm__ratiotest__lemma)
% 298.24/67.46 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 298.24/67.46 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 298.24/67.46 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 298.24/67.46 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 298.24/67.46 $i] : ! [v8: $i] : ! [v9: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v5,
% 298.24/67.46 v3) = v6) | ~ (c_RealVector_Onorm__class_Onorm(v5, v2) = v8) | ~
% 298.24/67.46 (hAPP(v7, v8) = v9) | ~ (hAPP(v1, v4) = v7) | ~ $i(v5) | ~ $i(v4) | ~
% 298.24/67.46 $i(v3) | ~ $i(v2) | ~ class_RealVector_Oreal__normed__vector(v5) | ~
% 298.24/67.46 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v9) | ~
% 298.24/67.46 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v0) |
% 298.24/67.46 c_Groups_Ozero__class_Ozero(v5) = v3))
% 298.24/67.46
% 298.24/67.46 (fact_norm__sgn)
% 298.24/67.46 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 298.24/67.46 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.24/67.46 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0) & ! [v2:
% 298.24/67.46 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 298.24/67.46 (c_Groups_Osgn__class_Osgn(v3, v2) = v4) | ~
% 298.24/67.46 (c_RealVector_Onorm__class_Onorm(v3, v4) = v5) | ~ $i(v3) | ~ $i(v2) |
% 298.24/67.46 ~ class_RealVector_Oreal__normed__vector(v3) | ? [v6: $i] : ((v5 = v1 |
% 298.24/67.46 (v6 = v2 & c_Groups_Ozero__class_Ozero(v3) = v2)) & (v5 = v0 | ( ~ (v6
% 298.24/67.46 = v2) & c_Groups_Ozero__class_Ozero(v3) = v6 & $i(v6))))))
% 298.24/67.46
% 298.24/67.46 (fact_norm__zero)
% 298.24/67.46 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 298.24/67.46 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 298.24/67.46 ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 298.24/67.46 (c_RealVector_Onorm__class_Onorm(v1, v2) = v3) | ~
% 298.24/67.46 (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ $i(v1) | ~
% 298.24/67.47 class_RealVector_Oreal__normed__vector(v1)))
% 298.24/67.47
% 298.24/67.47 (fact_not__one__le__zero)
% 298.24/67.47 ! [v0: $i] : ! [v1: $i] : ( ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~
% 298.24/67.47 $i(v0) | ~ class_Rings_Olinordered__semidom(v0) | ? [v2: $i] :
% 298.24/67.47 (c_Groups_Ozero__class_Ozero(v0) = v2 & $i(v2) & ~
% 298.24/67.47 c_Orderings_Oord__class_Oless__eq(v0, v1, v2)))
% 298.24/67.47
% 298.24/67.47 (fact_not__one__less__zero)
% 298.24/67.47 ! [v0: $i] : ! [v1: $i] : ( ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~
% 298.24/67.47 $i(v0) | ~ class_Rings_Olinordered__semidom(v0) | ? [v2: $i] :
% 298.24/67.47 (c_Groups_Ozero__class_Ozero(v0) = v2 & $i(v2) & ~
% 298.24/67.47 c_Orderings_Oord__class_Oless(v0, v1, v2)))
% 298.24/67.47
% 298.24/67.47 (fact_not__real__of__nat__less__zero)
% 298.24/67.47 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 298.24/67.47 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 298.24/67.47 ! [v2: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2) | ~ $i(v1) | ~
% 298.24/67.47 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v0)))
% 298.24/67.47
% 298.24/67.47 (fact_not__real__square__gt__zero)
% 298.24/67.47 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 298.24/67.47 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 298.24/67.47 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 298.24/67.47 [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v2 = v0 | ~ (hAPP(v3, v2) = v4) |
% 298.24/67.47 ~ (hAPP(v1, v2) = v3) | ~ $i(v2) |
% 298.24/67.47 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4)) & ! [v2: $i] :
% 298.24/67.47 ! [v3: $i] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(v1, v0) = v2) | ~
% 298.24/67.47 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3)))
% 298.24/67.47
% 298.24/67.47 (fact_of__real_Obounded)
% 298.24/67.47 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 298.24/67.47 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 298.24/67.47 ( ~ $i(v1) | ~ class_RealVector_Oreal__algebra__1(v1) | ~
% 298.24/67.47 class_RealVector_Oreal__normed__vector(v1) | ? [v2: $i] : ($i(v2) & !
% 298.24/67.47 [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 298.24/67.47 (c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal, v3) = v4) | ~
% 298.24/67.47 (hAPP(v5, v2) = v6) | ~ (hAPP(v0, v4) = v5) | ~ $i(v3) | ? [v7: $i]
% 298.24/67.47 : ? [v8: $i] : (c_RealVector_Oof__real(v1, v3) = v7 &
% 298.24/67.47 c_RealVector_Onorm__class_Onorm(v1, v7) = v8 & $i(v8) & $i(v7) &
% 298.24/67.47 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v8, v6))))))
% 298.24/67.47
% 298.24/67.47 (fact_of__real_Ononneg__bounded)
% 298.24/67.47 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 298.24/67.47 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 298.24/67.47 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 298.24/67.47 [v2: $i] : ( ~ $i(v2) | ~ class_RealVector_Oreal__algebra__1(v2) | ~
% 298.24/67.47 class_RealVector_Oreal__normed__vector(v2) | ? [v3: $i] : ($i(v3) &
% 298.24/67.47 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) & ! [v4:
% 298.24/67.47 $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 298.24/67.47 (c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal, v4) = v5) | ~
% 298.24/67.47 (hAPP(v6, v3) = v7) | ~ (hAPP(v1, v5) = v6) | ~ $i(v4) | ? [v8: $i]
% 298.24/67.47 : ? [v9: $i] : (c_RealVector_Oof__real(v2, v4) = v8 &
% 298.24/67.47 c_RealVector_Onorm__class_Onorm(v2, v8) = v9 & $i(v9) & $i(v8) &
% 298.24/67.47 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v9, v7))))))
% 298.24/67.47
% 298.24/67.47 (fact_of__real_Opos__bounded)
% 298.24/67.47 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 298.24/67.47 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 298.24/67.47 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 298.24/67.47 [v2: $i] : ( ~ $i(v2) | ~ class_RealVector_Oreal__algebra__1(v2) | ~
% 298.24/67.47 class_RealVector_Oreal__normed__vector(v2) | ? [v3: $i] : ($i(v3) &
% 298.24/67.47 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) & ! [v4: $i] :
% 298.24/67.47 ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 298.24/67.47 (c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal, v4) = v5) | ~
% 298.24/67.47 (hAPP(v6, v3) = v7) | ~ (hAPP(v1, v5) = v6) | ~ $i(v4) | ? [v8: $i]
% 298.24/67.47 : ? [v9: $i] : (c_RealVector_Oof__real(v2, v4) = v8 &
% 298.24/67.47 c_RealVector_Onorm__class_Onorm(v2, v8) = v9 & $i(v9) & $i(v8) &
% 298.24/67.47 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v9, v7))))))
% 298.24/67.47
% 298.24/67.47 (fact_of__real_Ozero)
% 298.24/67.47 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 298.24/67.47 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 298.24/67.47 ! [v2: $i] : ( ~ (c_RealVector_Oof__real(v1, v0) = v2) | ~ $i(v1) | ~
% 298.24/67.47 class_RealVector_Oreal__algebra__1(v1) | ~
% 298.24/67.47 class_RealVector_Oreal__normed__vector(v1) |
% 298.24/67.47 (c_Groups_Ozero__class_Ozero(v1) = v2 & $i(v2))))
% 298.24/67.47
% 298.24/67.47 (fact_of__real__0)
% 298.24/67.47 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 298.24/67.47 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 298.24/67.47 ! [v2: $i] : ( ~ (c_RealVector_Oof__real(v1, v0) = v2) | ~ $i(v1) | ~
% 298.24/67.47 class_RealVector_Oreal__algebra__1(v1) | (c_Groups_Ozero__class_Ozero(v1)
% 298.24/67.47 = v2 & $i(v2))))
% 298.24/67.47
% 298.24/67.47 (fact_of__real__1)
% 298.24/67.47 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 298.24/67.47 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : !
% 298.24/67.47 [v2: $i] : ( ~ (c_RealVector_Oof__real(v1, v0) = v2) | ~ $i(v1) | ~
% 298.24/67.47 class_RealVector_Oreal__algebra__1(v1) | (c_Groups_Oone__class_Oone(v1) =
% 298.24/67.47 v2 & $i(v2))))
% 298.24/67.47
% 298.24/67.47 (fact_of__real__eq__0__iff)
% 298.24/67.47 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 298.24/67.47 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 298.24/67.47 ! [v2: $i] : ! [v3: $i] : ( ~ (c_RealVector_Oof__real(v2, v1) = v3) | ~
% 298.24/67.47 $i(v2) | ~ $i(v1) | ~ class_RealVector_Oreal__algebra__1(v2) | ? [v4:
% 298.24/67.47 $i] : (( ~ (v1 = v0) | (v4 = v3 & c_Groups_Ozero__class_Ozero(v2) = v3 &
% 298.24/67.47 $i(v3))) & (v1 = v0 | ( ~ (v4 = v3) &
% 298.24/67.47 c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4))))))
% 298.24/67.47
% 298.24/67.47 (fact_of__real__mult)
% 298.24/67.47 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 298.24/67.47 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 298.24/67.47 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 298.24/67.47 [v7: $i] : ! [v8: $i] : ( ~ (c_RealVector_Oof__real(v3, v2) = v5) | ~
% 298.24/67.47 (c_RealVector_Oof__real(v3, v1) = v7) | ~
% 298.24/67.47 (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v6, v7) = v8) | ~
% 298.24/67.47 (hAPP(v4, v5) = v6) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 298.24/67.47 class_RealVector_Oreal__algebra__1(v3) | ? [v9: $i] : ? [v10: $i] :
% 298.24/67.47 (c_RealVector_Oof__real(v3, v10) = v8 & hAPP(v9, v1) = v10 & hAPP(v0, v2)
% 298.24/67.47 = v9 & $i(v10) & $i(v9) & $i(v8))))
% 298.24/67.47
% 298.24/67.47 (fact_of__real__power)
% 298.24/67.47 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 298.24/67.47 (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 298.24/67.47 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 298.24/67.47 (c_RealVector_Oof__real(v3, v5) = v6) | ~ (hAPP(v4, v1) = v5) | ~
% 298.24/67.47 (hAPP(v0, v2) = v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 298.24/67.47 class_RealVector_Oreal__algebra__1(v3) | ? [v7: $i] : ? [v8: $i] : ?
% 298.24/67.47 [v9: $i] : (c_RealVector_Oof__real(v3, v2) = v8 &
% 298.24/67.47 c_Power_Opower__class_Opower(v3) = v7 & hAPP(v9, v1) = v6 & hAPP(v7, v8)
% 298.24/67.47 = v9 & $i(v9) & $i(v8) & $i(v7) & $i(v6))))
% 298.24/67.47
% 298.24/67.47 (fact_poly__cont)
% 298.24/67.48 $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 298.24/67.48 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 298.24/67.48 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 298.24/67.48 (c_Polynomial_Opoly(tc_Complex_Ocomplex, v1) = v4) | ~ (hAPP(v4, v2) =
% 298.24/67.48 v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 298.24/67.48 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) | ? [v6: $i] :
% 298.24/67.48 ($i(v6) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v6) & !
% 298.24/67.48 [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~
% 298.24/67.48 (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v8, v5) = v9) | ~
% 298.24/67.48 (hAPP(v4, v7) = v8) | ~ $i(v7) | ? [v10: $i] : ? [v11: $i] : ?
% 298.24/67.48 [v12: $i] : ((c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v7,
% 298.24/67.48 v2) = v10 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 298.24/67.48 v10) = v11 & $i(v11) & $i(v10) & ( ~
% 298.24/67.48 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11, v6) | ~
% 298.24/67.48 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v11))) |
% 298.24/67.48 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v9) = v12 &
% 298.24/67.48 $i(v12) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12,
% 298.24/67.48 v3)))))))
% 298.24/67.48
% 298.24/67.48 (fact_power__eq__0__iff)
% 298.24/67.48 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 298.24/67.48 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 298.24/67.48 $i] : ! [v6: $i] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~
% 298.24/67.48 (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ $i(v3) | ~ $i(v2) | ~
% 298.24/67.48 $i(v1) | ~ class_Rings_Ozero__neq__one(v3) | ~
% 298.24/67.48 class_Rings_Ono__zero__divisors(v3) | ~ class_Rings_Omult__zero(v3) | ~
% 298.24/67.48 class_Power_Opower(v3) | ? [v7: $i] : (c_Groups_Ozero__class_Ozero(v3) =
% 298.24/67.48 v7 & $i(v7) & ( ~ (v7 = v6) | (v6 = v2 & ~ (v1 = v0))) & ( ~ (v7 = v2)
% 298.24/67.48 | v6 = v2 | v1 = v0))))
% 298.24/67.48
% 298.24/67.48 (fact_power__eq__if)
% 298.24/67.48 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 298.24/67.48 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v3 &
% 298.24/67.48 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 &
% 298.24/67.48 c_Power_Opower__class_Opower(tc_Nat_Onat) = v1 &
% 298.24/67.48 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v2 & $i(v3) & $i(v2) & $i(v1) &
% 298.24/67.48 $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i]
% 298.24/67.48 : ! [v9: $i] : ! [v10: $i] : (v5 = v0 | ~
% 298.24/67.48 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v5, v2) = v8) | ~ (hAPP(v7,
% 298.24/67.48 v9) = v10) | ~ (hAPP(v6, v8) = v9) | ~ (hAPP(v3, v4) = v7) | ~
% 298.24/67.48 (hAPP(v1, v4) = v6) | ~ $i(v5) | ~ $i(v4) | (hAPP(v6, v5) = v10 &
% 298.24/67.48 $i(v10))) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v6 = v2 | ~
% 298.24/67.48 (hAPP(v5, v0) = v6) | ~ (hAPP(v1, v4) = v5) | ~ $i(v4)))
% 298.24/67.48
% 298.24/67.48 (fact_power__one__right)
% 298.24/67.48 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 &
% 298.24/67.48 $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 298.24/67.48 (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v3, v1) = v4) | ~
% 298.24/67.48 $i(v2) | ~ $i(v1) | ~ class_Groups_Omonoid__mult(v2) | hAPP(v4, v0) =
% 298.24/67.48 v1))
% 298.24/67.48
% 298.24/67.48 (fact_power__real__of__nat)
% 298.24/67.48 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 298.24/67.48 (c_Power_Opower__class_Opower(tc_Nat_Onat) = v1 &
% 298.24/67.48 c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 298.24/67.48 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 298.24/67.48 (c_RealDef_Oreal(tc_Nat_Onat, v3) = v4) | ~ (hAPP(v5, v2) = v6) | ~
% 298.24/67.48 (hAPP(v0, v4) = v5) | ~ $i(v3) | ~ $i(v2) | ? [v7: $i] : ? [v8: $i] :
% 298.24/67.48 (c_RealDef_Oreal(tc_Nat_Onat, v8) = v6 & hAPP(v7, v2) = v8 & hAPP(v1, v3)
% 298.24/67.48 = v7 & $i(v8) & $i(v7) & $i(v6))))
% 298.24/67.48
% 298.24/67.48 (fact_qr)
% 298.24/67.48 $i(v_q____) & $i(tc_Complex_Ocomplex) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 298.24/67.48 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 298.24/67.48 (c_Polynomial_Osmult(tc_Complex_Ocomplex, v4, v_q____) = v5 &
% 298.24/67.48 c_Polynomial_Opoly(tc_Complex_Ocomplex, v5) = v6 &
% 298.24/67.48 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v0 &
% 298.24/67.48 c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, v3) = v4 &
% 298.24/67.48 c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v1 &
% 298.24/67.48 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 & hAPP(v0, v2) = v3 &
% 298.24/67.48 $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v7: $i] :
% 298.24/67.48 ! [v8: $i] : ( ~ (hAPP(v6, v7) = v8) | ~ $i(v7) | ? [v9: $i] : ? [v10:
% 298.24/67.48 $i] : (hAPP(v10, v3) = v9 & hAPP(v1, v8) = v10 & hAPP(v0, v7) = v9 &
% 298.24/67.48 $i(v10) & $i(v9))))
% 298.24/67.48
% 298.24/67.48 (fact_rabs__ratiotest__lemma)
% 298.24/67.48 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 298.24/67.48 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 298.24/67.48 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 298.24/67.48 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 298.24/67.48 $i] : ! [v8: $i] : (v3 = v0 | ~
% 298.24/67.48 (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v3) = v5) | ~
% 298.24/67.48 (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v2) = v7) | ~ (hAPP(v6, v7)
% 298.24/67.48 = v8) | ~ (hAPP(v1, v4) = v6) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 298.24/67.48 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v8) | ~
% 298.24/67.48 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v0)))
% 298.24/67.48
% 298.24/67.48 (fact_real__0__le__add__iff)
% 298.24/67.48 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 298.24/67.48 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 298.24/67.48 ! [v2: $i] : ! [v3: $i] : ( ~
% 298.24/67.48 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~ $i(v2) |
% 298.24/67.48 ~ $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3)
% 298.24/67.48 | ? [v4: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) =
% 298.24/67.48 v4 & $i(v4) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4,
% 298.24/67.48 v1))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 298.24/67.48 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~ $i(v2) |
% 298.24/67.48 ~ $i(v1) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) |
% 298.24/67.48 ? [v4: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v4 &
% 298.24/67.48 $i(v4) & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4,
% 298.24/67.48 v1))))
% 298.24/67.48
% 298.24/67.48 (fact_real__0__less__add__iff)
% 298.24/67.48 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 298.24/67.48 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 298.24/67.48 ! [v2: $i] : ! [v3: $i] : ( ~
% 298.24/67.48 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~ $i(v2) |
% 298.24/67.48 ~ $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) |
% 298.24/67.48 ? [v4: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v4 &
% 298.24/67.48 $i(v4) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v1))) & !
% 298.24/67.48 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 298.24/67.48 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~ $i(v2) |
% 298.24/67.48 ~ $i(v1) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) | ?
% 298.24/67.48 [v4: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v4 &
% 298.24/67.48 $i(v4) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v1))))
% 298.24/67.48
% 298.24/67.48 (fact_real__abs__def)
% 298.24/67.48 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 298.24/67.48 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 298.24/67.48 ! [v2: $i] : (v2 = v1 | ~ (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1)
% 298.24/67.48 = v2) | ~ $i(v1) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1,
% 298.24/67.48 v0)) & ! [v1: $i] : ! [v2: $i] : ( ~
% 298.24/67.48 (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1) = v2) | ~ $i(v1) | ~
% 298.24/67.48 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) |
% 298.24/67.48 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2 & $i(v2))))
% 298.24/67.48
% 298.24/67.48 (fact_real__add__eq__0__iff)
% 298.24/67.49 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 298.24/67.49 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 298.24/67.49 ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 298.24/67.49 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~ $i(v2) |
% 298.24/67.49 ~ $i(v1) | ? [v4: $i] : ( ~ (v4 = v1) &
% 298.24/67.49 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v4 & $i(v4))) &
% 298.24/67.49 ! [v1: $i] : ! [v2: $i] : ( ~
% 298.24/67.49 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v0) | ~ $i(v2) |
% 298.24/67.49 ~ $i(v1) | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v1))
% 298.24/67.49
% 298.24/67.49 (fact_real__add__le__0__iff)
% 298.24/67.49 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 298.24/67.49 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 298.24/67.49 ! [v2: $i] : ! [v3: $i] : ( ~
% 298.24/67.49 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~ $i(v2) |
% 298.24/67.49 ~ $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0)
% 298.24/67.49 | ? [v4: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) =
% 298.24/67.49 v4 & $i(v4) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1,
% 298.24/67.49 v4))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 298.24/67.49 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~ $i(v2) |
% 298.24/67.49 ~ $i(v1) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0) |
% 298.24/67.49 ? [v4: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v4 &
% 298.24/67.49 $i(v4) & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1,
% 298.24/67.49 v4))))
% 298.24/67.49
% 298.24/67.49 (fact_real__add__less__0__iff)
% 298.24/67.49 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 298.24/67.49 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 298.24/67.49 ! [v2: $i] : ! [v3: $i] : ( ~
% 298.24/67.49 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~ $i(v2) |
% 298.24/67.49 ~ $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0) |
% 298.24/67.49 ? [v4: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v4 &
% 298.24/67.49 $i(v4) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v4))) & !
% 298.24/67.49 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 298.24/67.49 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~ $i(v2) |
% 298.24/67.49 ~ $i(v1) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0) | ?
% 298.24/67.49 [v4: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v4 &
% 298.24/67.49 $i(v4) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v4))))
% 298.24/67.49
% 298.24/67.49 (fact_real__add__minus__iff)
% 298.24/67.49 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 298.24/67.49 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 298.24/67.49 ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 298.24/67.49 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2) | ~
% 298.24/67.49 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v2) = v3) | ~ $i(v1))
% 298.24/67.49 & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v2 = v1 | ~
% 298.24/67.49 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v3) | ~
% 298.24/67.49 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v3) = v0) | ~ $i(v2) |
% 298.24/67.49 ~ $i(v1)))
% 298.24/67.49
% 298.24/67.49 (fact_real__add__mult__distrib)
% 298.24/67.49 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 298.24/67.49 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 298.24/67.49 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 298.24/67.49 [v7: $i] : ! [v8: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,
% 298.24/67.49 v5, v7) = v8) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v4, v1) = v5) | ~
% 298.24/67.49 (hAPP(v0, v3) = v4) | ~ (hAPP(v0, v2) = v6) | ~ $i(v3) | ~ $i(v2) | ~
% 298.24/67.49 $i(v1) | ? [v9: $i] : ? [v10: $i] :
% 298.24/67.49 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v2) = v9 & hAPP(v10,
% 298.24/67.49 v1) = v8 & hAPP(v0, v9) = v10 & $i(v10) & $i(v9) & $i(v8))))
% 298.24/67.49
% 298.24/67.49 (fact_real__le__eq__diff)
% 298.24/67.49 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 298.24/67.49 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 298.24/67.49 ! [v2: $i] : ! [v3: $i] : ( ~
% 298.24/67.49 (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v2, v1) = v3) | ~ $i(v2)
% 298.24/67.49 | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3,
% 298.24/67.49 v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1)) & !
% 298.24/67.49 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 298.24/67.49 (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v2, v1) = v3) | ~ $i(v2)
% 298.24/67.49 | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2,
% 298.24/67.49 v1) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0)))
% 298.24/67.49
% 298.24/67.49 (fact_real__minus__mult__self__le)
% 298.24/67.49 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 298.24/67.49 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 298.24/67.49 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 298.24/67.49 (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(v0, v2) = v3) | ~
% 298.24/67.49 (hAPP(v0, v1) = v5) | ~ $i(v2) | ~ $i(v1) | ? [v7: $i] :
% 298.24/67.49 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v4) = v7 & $i(v7) &
% 298.24/67.49 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v7, v6))))
% 298.24/67.49
% 298.24/67.49 (fact_real__mult__1)
% 298.24/67.49 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 298.24/67.49 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 298.24/67.49 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & hAPP(v0, v1) = v2 &
% 298.24/67.49 $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : (v4 = v3 | ~
% 298.24/67.49 (hAPP(v2, v3) = v4) | ~ $i(v3)))
% 298.24/67.49
% 298.24/67.49 (fact_real__mult__assoc)
% 298.41/67.49 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 298.41/67.49 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 298.41/67.49 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 298.41/67.49 [v7: $i] : ( ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v0,
% 298.41/67.49 v5) = v6) | ~ (hAPP(v0, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1)
% 298.41/67.49 | ? [v8: $i] : ? [v9: $i] : (hAPP(v8, v1) = v9 & hAPP(v4, v9) = v7 &
% 298.41/67.49 hAPP(v0, v2) = v8 & $i(v9) & $i(v8) & $i(v7))))
% 298.41/67.49
% 298.41/67.49 (fact_real__mult__commute)
% 298.41/67.49 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 298.41/67.49 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 298.41/67.49 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (hAPP(v3, v2) = v4) | ~
% 298.41/67.49 (hAPP(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ? [v5: $i] : (hAPP(v5, v1)
% 298.41/67.49 = v4 & hAPP(v0, v2) = v5 & $i(v5) & $i(v4))))
% 298.41/67.49
% 298.41/67.49 (fact_real__mult__inverse__cancel)
% 298.41/67.49 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 298.41/67.49 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 298.41/67.49 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 298.41/67.49 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 298.41/67.49 $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~
% 298.41/67.49 (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v5) = v6) | ~
% 298.41/67.49 (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v4) = v9) | ~
% 298.41/67.49 (hAPP(v10, v2) = v11) | ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v1, v9) = v10) |
% 298.41/67.49 ~ (hAPP(v1, v6) = v7) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) |
% 298.41/67.49 ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v5) | ~
% 298.41/67.49 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 298.41/67.49 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v11) | ? [v12: $i] :
% 298.41/67.49 ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : (hAPP(v14, v2) = v15 &
% 298.41/67.49 hAPP(v12, v3) = v13 & hAPP(v1, v5) = v14 & hAPP(v1, v4) = v12 & $i(v15)
% 298.41/67.49 & $i(v14) & $i(v13) & $i(v12) & ~
% 298.41/67.49 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v13, v15))))
% 298.41/67.49
% 298.41/67.49 (fact_real__mult__inverse__cancel2)
% 298.41/67.50 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 298.41/67.50 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 298.41/67.50 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 298.41/67.50 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 298.41/67.50 $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~
% 298.41/67.50 (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v5) = v7) | ~
% 298.41/67.50 (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v4) = v10) | ~
% 298.41/67.50 (hAPP(v9, v10) = v11) | ~ (hAPP(v6, v7) = v8) | ~ (hAPP(v1, v3) = v6) |
% 298.41/67.50 ~ (hAPP(v1, v2) = v9) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 298.41/67.50 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v5) | ~
% 298.41/67.50 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 298.41/67.50 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v11) | ? [v12: $i] :
% 298.41/67.50 ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : (hAPP(v14, v2) = v15 &
% 298.41/67.50 hAPP(v12, v3) = v13 & hAPP(v1, v5) = v14 & hAPP(v1, v4) = v12 & $i(v15)
% 298.41/67.50 & $i(v14) & $i(v13) & $i(v12) & ~
% 298.41/67.50 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v13, v15))))
% 298.41/67.50
% 298.41/67.50 (fact_real__mult__inverse__left)
% 298.41/67.50 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 298.41/67.50 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 298.41/67.50 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.41/67.50 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v2 & $i(v2) & $i(v1) & $i(v0)
% 298.41/67.50 & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v6 = v2 | v3 = v0
% 298.41/67.50 | ~ (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v3) = v4) | ~
% 298.41/67.50 (hAPP(v5, v3) = v6) | ~ (hAPP(v1, v4) = v5) | ~ $i(v3)))
% 298.41/67.50
% 298.41/67.50 (fact_real__mult__le__cancel__iff1)
% 298.41/67.50 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 298.41/67.50 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 298.41/67.50 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 298.41/67.50 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 298.41/67.50 $i] : ! [v8: $i] : ( ~ (hAPP(v7, v4) = v8) | ~ (hAPP(v5, v4) = v6) | ~
% 298.41/67.50 (hAPP(v1, v3) = v5) | ~ (hAPP(v1, v2) = v7) | ~ $i(v4) | ~ $i(v3) | ~
% 298.41/67.50 $i(v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v8) |
% 298.41/67.50 ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 298.41/67.50 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v2)) & ! [v2: $i]
% 298.41/67.50 : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 298.41/67.50 [v8: $i] : ( ~ (hAPP(v7, v4) = v8) | ~ (hAPP(v5, v4) = v6) | ~ (hAPP(v1,
% 298.41/67.50 v3) = v5) | ~ (hAPP(v1, v2) = v7) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2)
% 298.41/67.50 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v2) | ~
% 298.41/67.50 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 298.41/67.50 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v8)))
% 298.41/67.50
% 298.41/67.50 (fact_real__mult__le__cancel__iff2)
% 298.41/67.50 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 298.41/67.50 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 298.41/67.50 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 298.41/67.50 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 298.41/67.50 $i] : ( ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v7) | ~ (hAPP(v1, v4)
% 298.41/67.50 = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 298.41/67.50 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v7) | ~
% 298.41/67.50 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 298.41/67.50 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v2)) & ! [v2: $i]
% 298.41/67.50 : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 298.41/67.50 (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v7) | ~ (hAPP(v1, v4) = v5) | ~
% 298.41/67.50 $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 298.41/67.50 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v2) | ~
% 298.41/67.50 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 298.41/67.50 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v7)))
% 298.41/67.50
% 298.41/67.50 (fact_real__mult__left__cancel)
% 298.41/67.50 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 298.41/67.50 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 298.41/67.50 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 298.41/67.50 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v4 = v0
% 298.41/67.50 | v3 = v2 | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v1,
% 298.41/67.50 v4) = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2)))
% 298.41/67.50
% 298.41/67.50 (fact_real__mult__less__iff1)
% 298.41/67.50 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 298.41/67.50 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 298.41/67.50 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 298.41/67.50 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 298.41/67.50 $i] : ! [v8: $i] : ( ~ (hAPP(v7, v4) = v8) | ~ (hAPP(v5, v4) = v6) | ~
% 298.41/67.50 (hAPP(v1, v3) = v5) | ~ (hAPP(v1, v2) = v7) | ~ $i(v4) | ~ $i(v3) | ~
% 298.41/67.50 $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v8) | ~
% 298.41/67.50 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 298.41/67.50 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v2)) & ! [v2: $i] :
% 298.41/67.50 ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8:
% 298.41/67.50 $i] : ( ~ (hAPP(v7, v4) = v8) | ~ (hAPP(v5, v4) = v6) | ~ (hAPP(v1, v3)
% 298.41/67.50 = v5) | ~ (hAPP(v1, v2) = v7) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 298.41/67.50 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v2) | ~
% 298.41/67.50 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 298.41/67.50 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v8)))
% 298.41/67.50
% 298.41/67.50 (fact_real__mult__less__mono2)
% 298.41/67.50 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 298.41/67.50 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 298.41/67.50 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 298.41/67.50 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 298.41/67.50 $i] : ( ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v7) | ~ (hAPP(v1, v4)
% 298.41/67.50 = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 298.41/67.50 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v2) | ~
% 298.41/67.50 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 298.41/67.50 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v7)))
% 298.41/67.50
% 298.41/67.50 (fact_real__mult__order)
% 298.41/67.50 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 298.41/67.50 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 298.41/67.50 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 298.41/67.50 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v4, v2) = v5)
% 298.41/67.50 | ~ (hAPP(v1, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~
% 298.41/67.50 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) | ~
% 298.41/67.50 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) |
% 298.41/67.50 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v5)))
% 298.41/67.50
% 298.41/67.50 (fact_real__mult__right__cancel)
% 298.41/67.50 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 298.41/67.50 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 298.41/67.50 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 298.41/67.50 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 298.41/67.50 $i] : (v4 = v0 | v3 = v2 | ~ (hAPP(v7, v4) = v6) | ~ (hAPP(v5, v4) = v6)
% 298.41/67.50 | ~ (hAPP(v1, v3) = v5) | ~ (hAPP(v1, v2) = v7) | ~ $i(v4) | ~ $i(v3)
% 298.41/67.50 | ~ $i(v2)))
% 298.41/67.50
% 298.41/67.50 (fact_real__natfloor__add__one__gt)
% 298.41/67.50 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 298.41/67.50 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : !
% 298.41/67.50 [v2: $i] : ( ~ (c_RComplete_Onatfloor(v1) = v2) | ~ $i(v1) | ? [v3: $i] :
% 298.41/67.50 ? [v4: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3 &
% 298.41/67.50 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v0) = v4 & $i(v4) &
% 298.41/67.50 $i(v3) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v4))))
% 298.41/67.50
% 298.41/67.50 (fact_real__natfloor__gt__diff__one)
% 298.41/67.50 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 298.41/67.50 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : !
% 298.41/67.50 [v2: $i] : ( ~ (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v1, v0) =
% 298.41/67.50 v2) | ~ $i(v1) | ? [v3: $i] : ? [v4: $i] :
% 298.41/67.50 (c_RealDef_Oreal(tc_Nat_Onat, v3) = v4 & c_RComplete_Onatfloor(v1) = v3 &
% 298.41/67.50 $i(v4) & $i(v3) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2,
% 298.41/67.50 v4))))
% 298.41/67.50
% 298.41/67.50 (fact_real__natfloor__le)
% 298.41/67.51 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 298.41/67.51 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 298.41/67.51 ! [v2: $i] : ( ~ (c_RComplete_Onatfloor(v1) = v2) | ~ $i(v1) | ~
% 298.41/67.51 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1) | ? [v3: $i]
% 298.41/67.51 : (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3 & $i(v3) &
% 298.41/67.51 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v1))))
% 298.41/67.51
% 298.41/67.51 (fact_real__of__nat__1)
% 298.41/67.51 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 298.41/67.51 (c_RealDef_Oreal(tc_Nat_Onat, v0) = v1 &
% 298.41/67.51 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 &
% 298.41/67.51 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0))
% 298.41/67.51
% 298.41/67.51 (fact_real__of__nat__ge__zero)
% 298.41/67.51 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 298.41/67.51 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 298.41/67.51 ! [v2: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2) | ~ $i(v1) |
% 298.41/67.51 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2)))
% 298.41/67.51
% 298.41/67.51 (fact_real__of__nat__gt__zero__cancel__iff)
% 298.41/67.51 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 298.41/67.51 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 &
% 298.41/67.51 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 298.41/67.51 [v2: $i] : ! [v3: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3) | ~
% 298.41/67.51 $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2) |
% 298.41/67.51 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3)) & ! [v2: $i] :
% 298.41/67.51 ! [v3: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3) | ~ $i(v2) | ~
% 298.41/67.51 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) |
% 298.41/67.51 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2)))
% 298.41/67.51
% 298.41/67.51 (fact_real__of__nat__le__zero__cancel__iff)
% 298.41/67.51 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 298.41/67.51 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 &
% 298.41/67.51 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 298.41/67.51 [v2: $i] : ! [v3: $i] : (v2 = v1 | ~ (c_RealDef_Oreal(tc_Nat_Onat, v2) =
% 298.41/67.51 v3) | ~ $i(v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 298.41/67.51 v3, v0)) & ! [v2: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2) |
% 298.41/67.51 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0)))
% 298.41/67.51
% 298.41/67.51 (fact_real__of__nat__mult)
% 298.41/67.51 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 298.41/67.51 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 298.41/67.51 c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0) & !
% 298.41/67.51 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 298.41/67.51 $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v3) = v4) | ~
% 298.41/67.51 (c_RealDef_Oreal(tc_Nat_Onat, v2) = v6) | ~ (hAPP(v5, v6) = v7) | ~
% 298.41/67.51 (hAPP(v1, v4) = v5) | ~ $i(v3) | ~ $i(v2) | ? [v8: $i] : ? [v9: $i] :
% 298.41/67.51 (c_RealDef_Oreal(tc_Nat_Onat, v9) = v7 & hAPP(v8, v2) = v9 & hAPP(v0, v3)
% 298.41/67.51 = v8 & $i(v9) & $i(v8) & $i(v7))))
% 298.41/67.51
% 298.41/67.51 (fact_real__of__nat__power)
% 298.41/67.51 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 298.41/67.51 (c_Power_Opower__class_Opower(tc_Nat_Onat) = v0 &
% 298.41/67.51 c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0) & !
% 298.41/67.51 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 298.41/67.51 (c_RealDef_Oreal(tc_Nat_Onat, v3) = v4) | ~ (hAPP(v5, v2) = v6) | ~
% 298.41/67.51 (hAPP(v1, v4) = v5) | ~ $i(v3) | ~ $i(v2) | ? [v7: $i] : ? [v8: $i] :
% 298.41/67.51 (c_RealDef_Oreal(tc_Nat_Onat, v8) = v6 & hAPP(v7, v2) = v8 & hAPP(v0, v3)
% 298.41/67.51 = v7 & $i(v8) & $i(v7) & $i(v6))))
% 298.41/67.51
% 298.41/67.51 (fact_real__of__nat__zero)
% 298.41/67.51 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 298.41/67.51 (c_RealDef_Oreal(tc_Nat_Onat, v0) = v1 &
% 298.41/67.51 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 &
% 298.41/67.51 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0))
% 298.41/67.51
% 298.41/67.51 (fact_real__of__nat__zero__iff)
% 298.41/67.51 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 298.41/67.51 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 &
% 298.41/67.51 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 298.41/67.51 [v2: $i] : (v2 = v1 | ~ (c_RealDef_Oreal(tc_Nat_Onat, v2) = v0) | ~
% 298.41/67.51 $i(v2)) & ! [v2: $i] : (v2 = v0 | ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) =
% 298.41/67.51 v2)))
% 298.41/67.51
% 298.41/67.51 (fact_real__two__squares__add__zero__iff)
% 298.41/67.51 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 298.41/67.51 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 298.41/67.51 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0) & !
% 298.41/67.51 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 298.41/67.51 $i] : (v3 = v1 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v7)
% 298.41/67.51 = v1) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v4, v3) = v5) | ~ (hAPP(v0,
% 298.41/67.51 v3) = v4) | ~ (hAPP(v0, v2) = v6) | ~ $i(v3) | ~ $i(v2)) & ! [v2:
% 298.41/67.51 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 298.41/67.51 : (v2 = v1 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v7) = v1)
% 298.41/67.51 | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v4, v3) = v5) | ~ (hAPP(v0, v3) = v4)
% 298.41/67.51 | ~ (hAPP(v0, v2) = v6) | ~ $i(v3) | ~ $i(v2)) & ! [v2: $i] : ! [v3:
% 298.41/67.51 $i] : ! [v4: $i] : (v4 = v1 | ~
% 298.41/67.51 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v3) = v4) | ~
% 298.41/67.51 (hAPP(v2, v1) = v3) | ~ (hAPP(v0, v1) = v2)))
% 298.41/67.51
% 298.41/67.51 (fact_real__zero__not__eq__one)
% 298.41/67.51 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) &
% 298.41/67.51 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.41/67.51 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0))
% 298.41/67.51
% 298.41/67.51 (fact_realpow__minus__mult)
% 298.41/67.51 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 298.41/67.51 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 &
% 298.41/67.51 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v1) & $i(v0) & ! [v2: $i]
% 298.41/67.51 : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 298.41/67.51 [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~
% 298.41/67.51 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v1) = v8) | ~
% 298.41/67.51 (c_Groups_Otimes__class_Otimes(v4) = v5) | ~
% 298.41/67.51 (c_Power_Opower__class_Opower(v4) = v6) | ~ (hAPP(v10, v2) = v11) | ~
% 298.41/67.51 (hAPP(v7, v8) = v9) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v9) = v10) |
% 298.41/67.51 ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ class_Groups_Omonoid__mult(v4) | ~
% 298.41/67.51 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) | (hAPP(v7, v3) = v11 &
% 298.41/67.51 $i(v11))))
% 298.41/67.51
% 298.41/67.51 (fact_realpow__num__eq__if)
% 298.41/67.52 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 298.41/67.52 (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 &
% 298.41/67.52 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v1) & $i(v0) & ! [v2: $i]
% 298.41/67.52 : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 298.41/67.52 [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~
% 298.41/67.52 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v1) = v9) | ~
% 298.41/67.52 (c_Groups_Otimes__class_Otimes(v4) = v7) | ~
% 298.41/67.52 (c_Power_Opower__class_Opower(v4) = v5) | ~ (hAPP(v8, v10) = v11) | ~
% 298.41/67.52 (hAPP(v7, v2) = v8) | ~ (hAPP(v6, v9) = v10) | ~ (hAPP(v5, v2) = v6) |
% 298.41/67.52 ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ class_Power_Opower(v4) | ? [v12:
% 298.41/67.52 $i] : ? [v13: $i] : (( ~ (v3 = v0) | (v13 = v12 &
% 298.41/67.52 c_Groups_Oone__class_Oone(v4) = v12 & hAPP(v6, v0) = v12 & $i(v12)))
% 298.41/67.52 & (v3 = v0 | (v12 = v11 & hAPP(v6, v3) = v11 & $i(v11))))))
% 298.41/67.52
% 298.41/67.52 (fact_reals__Archimedean6)
% 298.41/67.52 $i(tc_Nat_Onat) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 298.41/67.52 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.41/67.52 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v1) & $i(v0) & ! [v2: $i]
% 298.41/67.52 : ( ~ $i(v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 298.41/67.52 v2) | ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 298.41/67.52 (c_RealDef_Oreal(tc_Nat_Onat, v4) = v5 & c_RealDef_Oreal(tc_Nat_Onat, v3)
% 298.41/67.52 = v6 & c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v1) = v4 & $i(v6)
% 298.41/67.52 & $i(v5) & $i(v4) & $i(v3) &
% 298.41/67.52 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v2) &
% 298.41/67.52 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v6))))
% 298.41/67.52
% 298.41/67.52 (fact_reduce__poly__simple)
% 298.41/67.52 $i(tc_Nat_Onat) & $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0: $i]
% 298.41/67.52 : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 298.41/67.52 (c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v3 &
% 298.41/67.52 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 &
% 298.41/67.52 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0 &
% 298.41/67.52 c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v4 &
% 298.41/67.52 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v2 &
% 298.41/67.52 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v5 & $i(v5) & $i(v4) & $i(v3)
% 298.41/67.52 & $i(v2) & $i(v1) & $i(v0) & ? [v6: $i] : ! [v7: $i] : ! [v8: $i] : (v7 =
% 298.41/67.52 v0 | v6 = v1 | ~ (hAPP(v3, v7) = v8) | ~ $i(v7) | ~ $i(v6) | ? [v9:
% 298.41/67.52 $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ?
% 298.41/67.52 [v14: $i] : (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v13) =
% 298.41/67.52 v14 & c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v2, v12) = v13 &
% 298.41/67.52 hAPP(v10, v6) = v11 & hAPP(v8, v11) = v12 & hAPP(v4, v9) = v10 & $i(v14)
% 298.41/67.52 & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 298.41/67.52 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v14, v5))))
% 298.41/67.52
% 298.41/67.52 (fact_split__mult__neg__le)
% 298.41/67.52 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 298.41/67.52 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5)
% 298.41/67.52 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 298.41/67.52 class_Rings_Oordered__cancel__semiring(v2) | ? [v6: $i] :
% 298.41/67.52 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) &
% 298.41/67.52 (c_Orderings_Oord__class_Oless__eq(v2, v5, v6) | (( ~
% 298.41/67.52 c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | ~
% 298.41/67.52 c_Orderings_Oord__class_Oless__eq(v2, v0, v6)) & ( ~
% 298.41/67.52 c_Orderings_Oord__class_Oless__eq(v2, v6, v0) | ~
% 298.41/67.52 c_Orderings_Oord__class_Oless__eq(v2, v1, v6))))))
% 298.41/67.52
% 298.41/67.52 (fact_split__mult__pos__le)
% 298.41/67.52 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 298.41/67.52 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5)
% 298.41/67.52 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 298.41/67.52 class_Rings_Oordered__ring(v2) | ? [v6: $i] :
% 298.41/67.52 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) &
% 298.41/67.52 (c_Orderings_Oord__class_Oless__eq(v2, v6, v5) | (( ~
% 298.41/67.52 c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | ~
% 298.41/67.52 c_Orderings_Oord__class_Oless__eq(v2, v6, v0)) & ( ~
% 298.41/67.52 c_Orderings_Oord__class_Oless__eq(v2, v1, v6) | ~
% 298.41/67.52 c_Orderings_Oord__class_Oless__eq(v2, v0, v6))))))
% 298.41/67.52
% 298.41/67.52 (fact_t_I1_J)
% 298.41/67.52 $i(v_t____) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 298.41/67.52 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) &
% 298.41/67.52 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v_t____))
% 298.41/67.52
% 298.41/67.52 (fact_t_I2_J)
% 298.41/67.52 $i(v_t____) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 298.41/67.52 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) &
% 298.41/67.52 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_t____, v0))
% 298.41/67.52
% 298.41/67.52 (fact_t_I3_J)
% 298.41/67.52 $i(v_m____) & $i(tc_Nat_Onat) & $i(v_w____) & $i(tc_Complex_Ocomplex) &
% 298.41/67.52 $i(v_k____) & $i(v_t____) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 298.41/67.52 ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7:
% 298.41/67.52 $i] : ? [v8: $i] : ? [v9: $i] :
% 298.41/67.52 (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v8) = v9 &
% 298.41/67.52 c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 298.41/67.52 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v2 &
% 298.41/67.52 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, v4) = v5 &
% 298.41/67.52 c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v1 &
% 298.41/67.52 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v4 & hAPP(v7, v_m____) = v8 &
% 298.41/67.52 hAPP(v3, v5) = v6 & hAPP(v1, v2) = v3 & hAPP(v0, v6) = v7 & $i(v9) & $i(v8)
% 298.41/67.52 & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 298.41/67.52 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_t____, v9))
% 298.41/67.52
% 298.41/67.52 (fact_th01)
% 298.41/67.52 $i(v_a____) & $i(tc_Nat_Onat) & $i(tc_Complex_Ocomplex) & $i(v_k____) & ?
% 298.41/67.52 [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i]
% 298.41/67.52 : (c_Polynomial_Omonom(tc_Complex_Ocomplex, v_a____, v2) = v3 &
% 298.41/67.52 c_Polynomial_OpCons(tc_Complex_Ocomplex, v0, v3) = v4 &
% 298.41/67.52 c_Polynomial_Opoly(tc_Complex_Ocomplex, v4) = v5 &
% 298.41/67.52 c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v_k____, v1) = v2 &
% 298.41/67.52 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 &
% 298.41/67.52 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 & $i(v5) & $i(v4) &
% 298.41/67.52 $i(v3) & $i(v2) & $i(v1) & $i(v0) & ~
% 298.41/67.52 c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,
% 298.41/67.52 tc_Complex_Ocomplex, v5))
% 298.41/67.52
% 298.41/67.52 (fact_th02)
% 298.41/67.52 $i(v_a____) & $i(tc_Nat_Onat) & $i(tc_Complex_Ocomplex) & $i(v_k____) & ?
% 298.41/67.52 [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i]
% 298.41/67.52 : (c_Polynomial_Omonom(tc_Complex_Ocomplex, v_a____, v3) = v4 &
% 298.41/67.52 c_Polynomial_OpCons(tc_Complex_Ocomplex, v2, v4) = v5 &
% 298.41/67.52 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v5) =
% 298.41/67.52 v1 & c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v_k____, v0) = v3 &
% 298.41/67.52 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, v0) = v1 &
% 298.41/67.52 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 &
% 298.41/67.52 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v2 & $i(v5) & $i(v4) &
% 298.41/67.52 $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 298.41/67.52
% 298.41/67.52 (fact_th11)
% 298.41/67.53 $i(v_s____) & $i(v_a____) & $i(v_w____) & $i(tc_Complex_Ocomplex) &
% 298.41/67.53 $i(v_k____) & $i(v_t____) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 298.41/67.53 ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7:
% 298.41/67.53 $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i]
% 298.41/67.53 : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] :
% 298.41/67.53 ? [v18: $i] : ? [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ?
% 298.41/67.53 [v23: $i] : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] :
% 298.41/67.53 (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = v10 &
% 298.41/67.53 c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v21) = v22 &
% 298.41/67.53 c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = v3 &
% 298.41/67.53 c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v17, v20) = v21 &
% 298.41/67.53 c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v1 &
% 298.41/67.53 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v25) = v26 &
% 298.41/67.53 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v15) = v16 &
% 298.41/67.53 c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v0, v14) = v15 &
% 298.41/67.53 c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_a____, v12) = v13 &
% 298.41/67.53 c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v22, v26) = v27 &
% 298.41/67.53 c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v2 &
% 298.41/67.53 c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v18 &
% 298.41/67.53 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 &
% 298.41/67.53 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v17 & hAPP(v24, v11) = v25 &
% 298.41/67.53 hAPP(v19, v_k____) = v20 & hAPP(v18, v_t____) = v19 & hAPP(v10, v5) = v11 &
% 298.41/67.53 hAPP(v9, v11) = v12 & hAPP(v8, v13) = v14 & hAPP(v8, v5) = v23 & hAPP(v6,
% 298.41/67.53 v_k____) = v7 & hAPP(v4, v_w____) = v5 & hAPP(v2, v5) = v6 & hAPP(v1, v23)
% 298.41/67.53 = v24 & hAPP(v1, v7) = v8 & hAPP(v1, v5) = v9 & hAPP(v1, v3) = v4 & $i(v27)
% 298.41/67.53 & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) &
% 298.41/67.53 $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) &
% 298.41/67.53 $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) &
% 298.41/67.53 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 298.41/67.53 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v16, v27))
% 298.41/67.53
% 298.41/67.53 (fact_tw)
% 298.41/67.53 $i(v_w____) & $i(tc_Complex_Ocomplex) & $i(v_t____) & $i(tc_RealDef_Oreal) &
% 298.41/67.53 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5:
% 298.41/67.53 $i] : (c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = v1 &
% 298.41/67.53 c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v0 &
% 298.41/67.53 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 &
% 298.41/67.53 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v5 &
% 298.41/67.53 hAPP(v2, v_w____) = v3 & hAPP(v0, v1) = v2 & $i(v5) & $i(v4) & $i(v3) &
% 298.41/67.53 $i(v2) & $i(v1) & $i(v0) &
% 298.41/67.53 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v5))
% 298.41/67.53
% 298.41/67.53 (fact_unimodular__reduce__norm)
% 298.41/67.53 $i(c_Complex_Oii) & $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0:
% 298.41/67.53 $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v1 &
% 298.41/67.53 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & ! [v2:
% 298.41/67.53 $i] : ! [v3: $i] : ( ~
% 298.41/67.53 (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v2, v1) = v3) | ~
% 298.41/67.53 $i(v2) | ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 298.41/67.53 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : (( ~ (v4 = v0) &
% 298.41/67.53 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v4 &
% 298.41/67.53 $i(v4)) | (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v2,
% 298.41/67.53 c_Complex_Oii) = v10 &
% 298.41/67.53 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v10) = v11 &
% 298.41/67.53 $i(v11) & $i(v10) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 298.41/67.53 v11, v0)) | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 298.41/67.53 v8) = v9 & c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v2,
% 298.41/67.53 c_Complex_Oii) = v8 & $i(v9) & $i(v8) &
% 298.41/67.53 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9, v0)) |
% 298.41/67.53 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v6 &
% 298.41/67.53 c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v2, v1) = v5 & $i(v6)
% 298.41/67.53 & $i(v5) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v0)) |
% 298.41/67.53 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v7 & $i(v7)
% 298.41/67.53 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7, v0)))))
% 298.41/67.53
% 298.41/67.53 (fact_w)
% 298.41/67.53 $i(v_a____) & $i(v_w____) & $i(tc_Complex_Ocomplex) & $i(v_k____) & ? [v0:
% 298.41/67.53 $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 298.41/67.53 ? [v6: $i] : ? [v7: $i] : (c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex)
% 298.41/67.53 = v1 & c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v0, v6) = v7 &
% 298.41/67.53 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v7 &
% 298.41/67.53 c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v2 &
% 298.41/67.53 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 & hAPP(v5, v_a____) = v6
% 298.41/67.53 & hAPP(v3, v_k____) = v4 & hAPP(v2, v_w____) = v3 & hAPP(v1, v4) = v5 &
% 298.41/67.53 $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 298.41/67.53
% 298.41/67.53 (fact_wm1)
% 298.41/67.53 $i(v_a____) & $i(v_w____) & $i(tc_Complex_Ocomplex) & $i(v_k____) & ? [v0:
% 298.41/67.53 $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 298.41/67.53 ? [v6: $i] : (c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v6) = v5 &
% 298.41/67.53 c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v0 &
% 298.41/67.53 c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v1 &
% 298.41/67.53 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v6 & hAPP(v4, v_a____) = v5
% 298.41/67.53 & hAPP(v2, v_k____) = v3 & hAPP(v1, v_w____) = v2 & hAPP(v0, v3) = v4 &
% 298.41/67.53 $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 298.41/67.53
% 298.41/67.53 (fact_zero__le__mult__iff)
% 298.41/67.53 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 298.41/67.53 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5)
% 298.41/67.53 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 298.41/67.53 class_Rings_Olinordered__ring__strict(v2) | ? [v6: $i] :
% 298.41/67.53 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~
% 298.41/67.53 c_Orderings_Oord__class_Oless__eq(v2, v6, v5) |
% 298.41/67.53 (c_Orderings_Oord__class_Oless__eq(v2, v6, v1) &
% 298.41/67.53 c_Orderings_Oord__class_Oless__eq(v2, v6, v0)) |
% 298.41/67.53 (c_Orderings_Oord__class_Oless__eq(v2, v1, v6) &
% 298.41/67.53 c_Orderings_Oord__class_Oless__eq(v2, v0, v6))) &
% 298.41/67.53 (c_Orderings_Oord__class_Oless__eq(v2, v6, v5) | (( ~
% 298.41/67.53 c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | ~
% 298.41/67.53 c_Orderings_Oord__class_Oless__eq(v2, v6, v0)) & ( ~
% 298.41/67.53 c_Orderings_Oord__class_Oless__eq(v2, v1, v6) | ~
% 298.41/67.53 c_Orderings_Oord__class_Oless__eq(v2, v0, v6))))))
% 298.41/67.53
% 298.41/67.53 (fact_zero__le__one)
% 298.41/67.53 ! [v0: $i] : ! [v1: $i] : ( ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~
% 298.41/67.53 $i(v0) | ~ class_Rings_Olinordered__semidom(v0) | ? [v2: $i] :
% 298.41/67.53 (c_Groups_Ozero__class_Ozero(v0) = v2 & $i(v2) &
% 298.41/67.53 c_Orderings_Oord__class_Oless__eq(v0, v2, v1)))
% 298.41/67.53
% 298.41/67.53 (fact_zero__le__power)
% 298.41/67.53 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 298.41/67.53 $i] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v0) = v5) |
% 298.41/67.53 ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 298.41/67.53 class_Rings_Olinordered__semidom(v2) | ? [v6: $i] :
% 298.41/67.53 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~
% 298.41/67.53 c_Orderings_Oord__class_Oless__eq(v2, v6, v1) |
% 298.41/67.53 c_Orderings_Oord__class_Oless__eq(v2, v6, v5))))
% 298.41/67.53
% 298.41/67.53 (fact_zero__less__abs__iff)
% 298.41/67.53 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (c_Groups_Oabs__class_Oabs(v1,
% 298.41/67.53 v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 298.41/67.53 class_Groups_Oordered__ab__group__add__abs(v1) | ? [v3: $i] :
% 298.41/67.53 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~ (v3 = v0) | ~
% 298.41/67.53 c_Orderings_Oord__class_Oless(v1, v0, v2)) & (v3 = v0 |
% 298.41/67.53 c_Orderings_Oord__class_Oless(v1, v3, v2))))
% 298.41/67.53
% 298.41/67.53 (fact_zero__less__mult__pos)
% 298.41/67.53 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 298.41/67.53 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5)
% 298.41/67.53 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 298.41/67.53 class_Rings_Olinordered__semiring__strict(v2) | ? [v6: $i] :
% 298.41/67.53 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~
% 298.41/67.53 c_Orderings_Oord__class_Oless(v2, v6, v5) | ~
% 298.41/67.53 c_Orderings_Oord__class_Oless(v2, v6, v1) |
% 298.41/67.53 c_Orderings_Oord__class_Oless(v2, v6, v0))))
% 298.41/67.53
% 298.41/67.53 (fact_zero__less__mult__pos2)
% 298.41/67.53 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 298.41/67.53 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5)
% 298.41/67.53 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 298.41/67.53 class_Rings_Olinordered__semiring__strict(v2) | ? [v6: $i] :
% 298.41/67.53 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~
% 298.41/67.53 c_Orderings_Oord__class_Oless(v2, v6, v5) | ~
% 298.41/67.53 c_Orderings_Oord__class_Oless(v2, v6, v0) |
% 298.41/67.53 c_Orderings_Oord__class_Oless(v2, v6, v1))))
% 298.41/67.53
% 298.41/67.53 (fact_zero__less__norm__iff)
% 298.41/67.54 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 298.41/67.54 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 298.41/67.54 ! [v2: $i] : ! [v3: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v2, v1) =
% 298.41/67.54 v3) | ~ $i(v2) | ~ $i(v1) | ~
% 298.41/67.54 class_RealVector_Oreal__normed__vector(v2) | ? [v4: $i] : (( ~
% 298.41/67.54 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) | ( ~ (v4 =
% 298.41/67.54 v1) & c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4))) &
% 298.41/67.54 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) | (v4 = v1 &
% 298.41/67.54 c_Groups_Ozero__class_Ozero(v2) = v1)))))
% 298.41/67.54
% 298.41/67.54 (fact_zero__less__one)
% 298.41/67.54 ! [v0: $i] : ! [v1: $i] : ( ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~
% 298.41/67.54 $i(v0) | ~ class_Rings_Olinordered__semidom(v0) | ? [v2: $i] :
% 298.41/67.54 (c_Groups_Ozero__class_Ozero(v0) = v2 & $i(v2) &
% 298.41/67.54 c_Orderings_Oord__class_Oless(v0, v2, v1)))
% 298.41/67.54
% 298.60/67.54 (fact_zero__less__power)
% 298.60/67.54 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 298.60/67.54 $i] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v0) = v5) |
% 298.60/67.54 ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 298.60/67.54 class_Rings_Olinordered__semidom(v2) | ? [v6: $i] :
% 298.60/67.54 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~
% 298.60/67.54 c_Orderings_Oord__class_Oless(v2, v6, v1) |
% 298.60/67.54 c_Orderings_Oord__class_Oless(v2, v6, v5))))
% 298.60/67.54
% 298.60/67.54 (function-axioms)
% 298.62/67.54 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0
% 298.62/67.54 | ~ (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v4, v3, v2) =
% 298.62/67.54 v1) | ~ (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v4, v3,
% 298.62/67.54 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : !
% 298.62/67.54 [v4: $i] : (v1 = v0 | ~ (c_Power_Opower_Opower(v4, v3, v2) = v1) | ~
% 298.62/67.54 (c_Power_Opower_Opower(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 298.62/67.54 [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (c_Polynomial_Oorder(v4,
% 298.62/67.54 v3, v2) = v1) | ~ (c_Polynomial_Oorder(v4, v3, v2) = v0)) & ! [v0: $i]
% 298.62/67.54 : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 298.62/67.54 (c_Polynomial_Opcompose(v4, v3, v2) = v1) | ~ (c_Polynomial_Opcompose(v4,
% 298.62/67.54 v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] :
% 298.62/67.54 ! [v4: $i] : (v1 = v0 | ~ (c_Polynomial_Osynthetic__div(v4, v3, v2) = v1) |
% 298.62/67.54 ~ (c_Polynomial_Osynthetic__div(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1:
% 298.62/67.54 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 298.62/67.54 (c_Polynomial_Omonom(v4, v3, v2) = v1) | ~ (c_Polynomial_Omonom(v4, v3, v2)
% 298.62/67.54 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4:
% 298.62/67.54 $i] : (v1 = v0 | ~ (c_Polynomial_OpCons(v4, v3, v2) = v1) | ~
% 298.62/67.54 (c_Polynomial_OpCons(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 298.62/67.54 [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (c_Polynomial_Osmult(v4,
% 298.62/67.54 v3, v2) = v1) | ~ (c_Polynomial_Osmult(v4, v3, v2) = v0)) & ! [v0: $i]
% 298.62/67.54 : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 298.62/67.54 (c_Groups_Ominus__class_Ominus(v4, v3, v2) = v1) | ~
% 298.62/67.54 (c_Groups_Ominus__class_Ominus(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1:
% 298.62/67.54 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 298.62/67.54 (c_Groups_Oplus__class_Oplus(v4, v3, v2) = v1) | ~
% 298.62/67.54 (c_Groups_Oplus__class_Oplus(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 298.62/67.54 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (c_Groups_Osgn__class_Osgn(v3, v2)
% 298.62/67.54 = v1) | ~ (c_Groups_Osgn__class_Osgn(v3, v2) = v0)) & ! [v0: $i] : !
% 298.62/67.54 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (c_RealDef_Oreal(v3, v2)
% 298.62/67.54 = v1) | ~ (c_RealDef_Oreal(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] :
% 298.62/67.54 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (c_Nat__Transfer_Otsub(v3, v2) = v1)
% 298.62/67.54 | ~ (c_Nat__Transfer_Otsub(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 298.62/67.54 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (tc_fun(v3, v2) = v1) | ~ (tc_fun(v3,
% 298.62/67.54 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1
% 298.62/67.54 = v0 | ~ (c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(v3, v2) = v1) |
% 298.62/67.54 ~ (c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(v3, v2) = v0)) & !
% 298.62/67.54 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 298.62/67.54 (c_Polynomial_Opoly(v3, v2) = v1) | ~ (c_Polynomial_Opoly(v3, v2) = v0)) &
% 298.62/67.54 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 298.62/67.54 (c_Groups_Oabs__class_Oabs(v3, v2) = v1) | ~ (c_Groups_Oabs__class_Oabs(v3,
% 298.62/67.54 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1
% 298.62/67.54 = v0 | ~ (c_RealVector_Oof__real(v3, v2) = v1) | ~
% 298.62/67.54 (c_RealVector_Oof__real(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 298.62/67.54 $i] : ! [v3: $i] : (v1 = v0 | ~ (c_Groups_Ouminus__class_Ouminus(v3, v2) =
% 298.62/67.54 v1) | ~ (c_Groups_Ouminus__class_Ouminus(v3, v2) = v0)) & ! [v0: $i] :
% 298.62/67.54 ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 298.62/67.54 (c_Rings_Oinverse__class_Oinverse(v3, v2) = v1) | ~
% 298.62/67.54 (c_Rings_Oinverse__class_Oinverse(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 298.62/67.54 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 298.62/67.54 (c_RealVector_Onorm__class_Onorm(v3, v2) = v1) | ~
% 298.62/67.54 (c_RealVector_Onorm__class_Onorm(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 298.62/67.54 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP(v3, v2) = v1) | ~ (hAPP(v3,
% 298.62/67.54 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 298.62/67.54 (c_RComplete_Onatfloor(v2) = v1) | ~ (c_RComplete_Onatfloor(v2) = v0)) & !
% 298.62/67.54 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 298.62/67.54 (c_RComplete_Onatceiling(v2) = v1) | ~ (c_RComplete_Onatceiling(v2) = v0))
% 298.62/67.54 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 298.62/67.54 (tc_Polynomial_Opoly(v2) = v1) | ~ (tc_Polynomial_Opoly(v2) = v0)) & !
% 298.62/67.54 [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 298.62/67.54 (c_Groups_Otimes__class_Otimes(v2) = v1) | ~
% 298.62/67.54 (c_Groups_Otimes__class_Otimes(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 298.62/67.54 [v2: $i] : (v1 = v0 | ~ (c_Groups_Ozero__class_Ozero(v2) = v1) | ~
% 298.62/67.54 (c_Groups_Ozero__class_Ozero(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 298.62/67.54 [v2: $i] : (v1 = v0 | ~ (c_Power_Opower__class_Opower(v2) = v1) | ~
% 298.62/67.54 (c_Power_Opower__class_Opower(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 298.62/67.54 [v2: $i] : (v1 = v0 | ~ (c_Groups_Oone__class_Oone(v2) = v1) | ~
% 298.62/67.54 (c_Groups_Oone__class_Oone(v2) = v0))
% 298.62/67.54
% 298.62/67.54 Further assumptions not needed in the proof:
% 298.62/67.54 --------------------------------------------
% 298.62/67.54 arity_Complex__Ocomplex__Fields_Ofield,
% 298.62/67.54 arity_Complex__Ocomplex__Fields_Ofield__inverse__zero,
% 298.62/67.54 arity_Complex__Ocomplex__Groups_Oab__group__add,
% 298.62/67.54 arity_Complex__Ocomplex__Groups_Oab__semigroup__add,
% 298.62/67.54 arity_Complex__Ocomplex__Groups_Oab__semigroup__mult,
% 298.62/67.54 arity_Complex__Ocomplex__Groups_Ocancel__ab__semigroup__add,
% 298.62/67.54 arity_Complex__Ocomplex__Groups_Ocancel__comm__monoid__add,
% 298.62/67.54 arity_Complex__Ocomplex__Groups_Ocancel__semigroup__add,
% 298.62/67.54 arity_Complex__Ocomplex__Groups_Ocomm__monoid__add,
% 298.62/67.54 arity_Complex__Ocomplex__Groups_Ocomm__monoid__mult,
% 298.62/67.54 arity_Complex__Ocomplex__Groups_Ogroup__add,
% 298.62/67.54 arity_Complex__Ocomplex__Groups_Ominus,
% 298.62/67.54 arity_Complex__Ocomplex__Groups_Omonoid__add,
% 298.62/67.54 arity_Complex__Ocomplex__Groups_Omonoid__mult,
% 298.62/67.54 arity_Complex__Ocomplex__Groups_Oone, arity_Complex__Ocomplex__Groups_Ouminus,
% 298.62/67.54 arity_Complex__Ocomplex__Groups_Ozero,
% 298.62/67.54 arity_Complex__Ocomplex__Int_Oring__char__0,
% 298.62/67.54 arity_Complex__Ocomplex__Power_Opower,
% 298.62/67.54 arity_Complex__Ocomplex__RealVector_Oreal__algebra__1,
% 298.62/67.54 arity_Complex__Ocomplex__RealVector_Oreal__div__algebra,
% 298.62/67.54 arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,
% 298.62/67.54 arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1,
% 298.62/67.54 arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra,
% 298.62/67.54 arity_Complex__Ocomplex__Rings_Ocomm__ring,
% 298.62/67.54 arity_Complex__Ocomplex__Rings_Ocomm__ring__1,
% 298.62/67.54 arity_Complex__Ocomplex__Rings_Ocomm__semiring,
% 298.62/67.54 arity_Complex__Ocomplex__Rings_Ocomm__semiring__0,
% 298.62/67.54 arity_Complex__Ocomplex__Rings_Ocomm__semiring__1,
% 298.62/67.54 arity_Complex__Ocomplex__Rings_Odivision__ring,
% 298.62/67.54 arity_Complex__Ocomplex__Rings_Odivision__ring__inverse__zero,
% 298.62/67.54 arity_Complex__Ocomplex__Rings_Odvd, arity_Complex__Ocomplex__Rings_Oidom,
% 298.62/67.54 arity_Complex__Ocomplex__Rings_Omult__zero,
% 298.62/67.54 arity_Complex__Ocomplex__Rings_Ono__zero__divisors,
% 298.62/67.54 arity_Complex__Ocomplex__Rings_Oring, arity_Complex__Ocomplex__Rings_Oring__1,
% 298.62/67.54 arity_Complex__Ocomplex__Rings_Oring__1__no__zero__divisors,
% 298.62/67.54 arity_Complex__Ocomplex__Rings_Oring__no__zero__divisors,
% 298.62/67.54 arity_Complex__Ocomplex__Rings_Osemiring,
% 298.62/67.54 arity_Complex__Ocomplex__Rings_Osemiring__0,
% 298.62/67.54 arity_Complex__Ocomplex__Rings_Ozero__neq__one,
% 298.62/67.54 arity_Complex__Ocomplex__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,
% 298.62/67.54 arity_HOL__Obool__Groups_Ominus, arity_HOL__Obool__Groups_Ouminus,
% 298.62/67.54 arity_HOL__Obool__Lattices_Oboolean__algebra, arity_HOL__Obool__Orderings_Oord,
% 298.62/67.54 arity_HOL__Obool__Orderings_Oorder, arity_HOL__Obool__Orderings_Opreorder,
% 298.62/67.54 arity_Int__Oint__Groups_Oab__group__add,
% 298.62/67.54 arity_Int__Oint__Groups_Oab__semigroup__add,
% 298.62/67.54 arity_Int__Oint__Groups_Oab__semigroup__mult, arity_Int__Oint__Groups_Oabs__if,
% 298.62/67.54 arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,
% 298.62/67.54 arity_Int__Oint__Groups_Ocancel__comm__monoid__add,
% 298.62/67.54 arity_Int__Oint__Groups_Ocancel__semigroup__add,
% 298.62/67.54 arity_Int__Oint__Groups_Ocomm__monoid__add,
% 298.62/67.54 arity_Int__Oint__Groups_Ocomm__monoid__mult,
% 298.62/67.54 arity_Int__Oint__Groups_Ogroup__add,
% 298.62/67.54 arity_Int__Oint__Groups_Olinordered__ab__group__add,
% 298.62/67.54 arity_Int__Oint__Groups_Ominus, arity_Int__Oint__Groups_Omonoid__add,
% 298.62/67.54 arity_Int__Oint__Groups_Omonoid__mult, arity_Int__Oint__Groups_Oone,
% 298.62/67.54 arity_Int__Oint__Groups_Oordered__ab__group__add,
% 298.62/67.54 arity_Int__Oint__Groups_Oordered__ab__group__add__abs,
% 298.62/67.54 arity_Int__Oint__Groups_Oordered__ab__semigroup__add,
% 298.62/67.54 arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,
% 298.62/67.54 arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,
% 298.62/67.54 arity_Int__Oint__Groups_Oordered__comm__monoid__add,
% 298.62/67.54 arity_Int__Oint__Groups_Osgn__if, arity_Int__Oint__Groups_Ouminus,
% 298.62/67.54 arity_Int__Oint__Groups_Ozero, arity_Int__Oint__Int_Oring__char__0,
% 298.62/67.54 arity_Int__Oint__Orderings_Olinorder, arity_Int__Oint__Orderings_Oord,
% 298.62/67.54 arity_Int__Oint__Orderings_Oorder, arity_Int__Oint__Orderings_Opreorder,
% 298.62/67.54 arity_Int__Oint__Power_Opower, arity_Int__Oint__Rings_Ocomm__ring,
% 298.62/67.54 arity_Int__Oint__Rings_Ocomm__ring__1, arity_Int__Oint__Rings_Ocomm__semiring,
% 298.62/67.54 arity_Int__Oint__Rings_Ocomm__semiring__0,
% 298.62/67.54 arity_Int__Oint__Rings_Ocomm__semiring__1, arity_Int__Oint__Rings_Odvd,
% 298.62/67.54 arity_Int__Oint__Rings_Oidom,
% 298.62/67.54 arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,
% 298.62/67.54 arity_Int__Oint__Rings_Olinordered__idom,
% 298.62/67.54 arity_Int__Oint__Rings_Olinordered__ring,
% 298.62/67.54 arity_Int__Oint__Rings_Olinordered__ring__strict,
% 298.62/67.54 arity_Int__Oint__Rings_Olinordered__semidom,
% 298.62/67.54 arity_Int__Oint__Rings_Olinordered__semiring,
% 298.62/67.54 arity_Int__Oint__Rings_Olinordered__semiring__1,
% 298.62/67.54 arity_Int__Oint__Rings_Olinordered__semiring__1__strict,
% 298.62/67.54 arity_Int__Oint__Rings_Olinordered__semiring__strict,
% 298.62/67.54 arity_Int__Oint__Rings_Omult__zero, arity_Int__Oint__Rings_Ono__zero__divisors,
% 298.62/67.54 arity_Int__Oint__Rings_Oordered__cancel__semiring,
% 298.62/67.54 arity_Int__Oint__Rings_Oordered__comm__semiring,
% 298.62/67.54 arity_Int__Oint__Rings_Oordered__ring,
% 298.62/67.54 arity_Int__Oint__Rings_Oordered__ring__abs,
% 298.62/67.54 arity_Int__Oint__Rings_Oordered__semiring, arity_Int__Oint__Rings_Oring,
% 298.62/67.54 arity_Int__Oint__Rings_Oring__1,
% 298.62/67.54 arity_Int__Oint__Rings_Oring__1__no__zero__divisors,
% 298.62/67.54 arity_Int__Oint__Rings_Oring__no__zero__divisors,
% 298.62/67.54 arity_Int__Oint__Rings_Osemiring, arity_Int__Oint__Rings_Osemiring__0,
% 298.62/67.54 arity_Int__Oint__Rings_Ozero__neq__one,
% 298.62/67.54 arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,
% 298.62/67.54 arity_Nat__Onat__Groups_Oab__semigroup__add,
% 298.62/67.54 arity_Nat__Onat__Groups_Oab__semigroup__mult,
% 298.62/67.54 arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,
% 298.62/67.54 arity_Nat__Onat__Groups_Ocancel__comm__monoid__add,
% 298.62/67.54 arity_Nat__Onat__Groups_Ocancel__semigroup__add,
% 298.62/67.54 arity_Nat__Onat__Groups_Ocomm__monoid__add,
% 298.62/67.54 arity_Nat__Onat__Groups_Ocomm__monoid__mult, arity_Nat__Onat__Groups_Ominus,
% 298.62/67.54 arity_Nat__Onat__Groups_Omonoid__add, arity_Nat__Onat__Groups_Omonoid__mult,
% 298.62/67.54 arity_Nat__Onat__Groups_Oone,
% 298.62/67.54 arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,
% 298.62/67.54 arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,
% 298.62/67.54 arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,
% 298.62/67.54 arity_Nat__Onat__Groups_Oordered__comm__monoid__add,
% 298.62/67.54 arity_Nat__Onat__Groups_Ozero, arity_Nat__Onat__Orderings_Olinorder,
% 298.62/67.54 arity_Nat__Onat__Orderings_Oord, arity_Nat__Onat__Orderings_Oorder,
% 298.62/67.54 arity_Nat__Onat__Orderings_Opreorder, arity_Nat__Onat__Power_Opower,
% 298.62/67.54 arity_Nat__Onat__Rings_Ocomm__semiring,
% 298.62/67.54 arity_Nat__Onat__Rings_Ocomm__semiring__0,
% 298.62/67.54 arity_Nat__Onat__Rings_Ocomm__semiring__1, arity_Nat__Onat__Rings_Odvd,
% 298.62/67.54 arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,
% 298.62/67.54 arity_Nat__Onat__Rings_Olinordered__semidom,
% 298.62/67.54 arity_Nat__Onat__Rings_Olinordered__semiring,
% 298.62/67.54 arity_Nat__Onat__Rings_Olinordered__semiring__strict,
% 298.62/67.54 arity_Nat__Onat__Rings_Omult__zero, arity_Nat__Onat__Rings_Ono__zero__divisors,
% 298.62/67.54 arity_Nat__Onat__Rings_Oordered__cancel__semiring,
% 298.62/67.54 arity_Nat__Onat__Rings_Oordered__comm__semiring,
% 298.62/67.54 arity_Nat__Onat__Rings_Oordered__semiring, arity_Nat__Onat__Rings_Osemiring,
% 298.62/67.54 arity_Nat__Onat__Rings_Osemiring__0, arity_Nat__Onat__Rings_Ozero__neq__one,
% 298.62/67.54 arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,
% 298.62/67.54 arity_Polynomial__Opoly__Groups_Oab__group__add,
% 298.62/67.54 arity_Polynomial__Opoly__Groups_Oab__semigroup__add,
% 298.62/67.54 arity_Polynomial__Opoly__Groups_Oab__semigroup__mult,
% 298.62/67.54 arity_Polynomial__Opoly__Groups_Oabs__if,
% 298.62/67.54 arity_Polynomial__Opoly__Groups_Ocancel__ab__semigroup__add,
% 298.62/67.54 arity_Polynomial__Opoly__Groups_Ocancel__comm__monoid__add,
% 298.62/67.54 arity_Polynomial__Opoly__Groups_Ocancel__semigroup__add,
% 298.62/67.54 arity_Polynomial__Opoly__Groups_Ocomm__monoid__add,
% 298.62/67.54 arity_Polynomial__Opoly__Groups_Ocomm__monoid__mult,
% 298.62/67.54 arity_Polynomial__Opoly__Groups_Ogroup__add,
% 298.62/67.54 arity_Polynomial__Opoly__Groups_Olinordered__ab__group__add,
% 298.62/67.54 arity_Polynomial__Opoly__Groups_Ominus,
% 298.62/67.54 arity_Polynomial__Opoly__Groups_Omonoid__add,
% 298.62/67.54 arity_Polynomial__Opoly__Groups_Omonoid__mult,
% 298.62/67.54 arity_Polynomial__Opoly__Groups_Oone,
% 298.62/67.54 arity_Polynomial__Opoly__Groups_Oordered__ab__group__add,
% 298.62/67.54 arity_Polynomial__Opoly__Groups_Oordered__ab__group__add__abs,
% 298.62/67.54 arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add,
% 298.62/67.54 arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add__imp__le,
% 298.62/67.54 arity_Polynomial__Opoly__Groups_Oordered__cancel__ab__semigroup__add,
% 298.62/67.54 arity_Polynomial__Opoly__Groups_Oordered__comm__monoid__add,
% 298.62/67.54 arity_Polynomial__Opoly__Groups_Osgn__if,
% 298.62/67.54 arity_Polynomial__Opoly__Groups_Ouminus, arity_Polynomial__Opoly__Groups_Ozero,
% 298.62/67.54 arity_Polynomial__Opoly__Int_Oring__char__0,
% 298.62/67.54 arity_Polynomial__Opoly__Orderings_Olinorder,
% 298.62/67.55 arity_Polynomial__Opoly__Orderings_Oord,
% 298.62/67.55 arity_Polynomial__Opoly__Orderings_Oorder,
% 298.62/67.55 arity_Polynomial__Opoly__Orderings_Opreorder,
% 298.62/67.55 arity_Polynomial__Opoly__Power_Opower,
% 298.62/67.55 arity_Polynomial__Opoly__Rings_Ocomm__ring,
% 298.62/67.55 arity_Polynomial__Opoly__Rings_Ocomm__ring__1,
% 298.62/67.55 arity_Polynomial__Opoly__Rings_Ocomm__semiring,
% 298.62/67.55 arity_Polynomial__Opoly__Rings_Ocomm__semiring__0,
% 298.62/67.55 arity_Polynomial__Opoly__Rings_Ocomm__semiring__1,
% 298.62/67.55 arity_Polynomial__Opoly__Rings_Odvd, arity_Polynomial__Opoly__Rings_Oidom,
% 298.62/67.55 arity_Polynomial__Opoly__Rings_Olinordered__comm__semiring__strict,
% 298.62/67.55 arity_Polynomial__Opoly__Rings_Olinordered__idom,
% 298.62/67.55 arity_Polynomial__Opoly__Rings_Olinordered__ring,
% 298.62/67.55 arity_Polynomial__Opoly__Rings_Olinordered__ring__strict,
% 298.62/67.55 arity_Polynomial__Opoly__Rings_Olinordered__semidom,
% 298.62/67.55 arity_Polynomial__Opoly__Rings_Olinordered__semiring,
% 298.62/67.55 arity_Polynomial__Opoly__Rings_Olinordered__semiring__1,
% 298.62/67.55 arity_Polynomial__Opoly__Rings_Olinordered__semiring__1__strict,
% 298.62/67.55 arity_Polynomial__Opoly__Rings_Olinordered__semiring__strict,
% 298.62/67.55 arity_Polynomial__Opoly__Rings_Omult__zero,
% 298.62/67.55 arity_Polynomial__Opoly__Rings_Ono__zero__divisors,
% 298.62/67.55 arity_Polynomial__Opoly__Rings_Oordered__cancel__semiring,
% 298.62/67.55 arity_Polynomial__Opoly__Rings_Oordered__comm__semiring,
% 298.62/67.55 arity_Polynomial__Opoly__Rings_Oordered__ring,
% 298.62/67.55 arity_Polynomial__Opoly__Rings_Oordered__ring__abs,
% 298.62/67.55 arity_Polynomial__Opoly__Rings_Oordered__semiring,
% 298.62/67.55 arity_Polynomial__Opoly__Rings_Oring, arity_Polynomial__Opoly__Rings_Oring__1,
% 298.62/67.55 arity_Polynomial__Opoly__Rings_Oring__1__no__zero__divisors,
% 298.62/67.55 arity_Polynomial__Opoly__Rings_Oring__no__zero__divisors,
% 298.62/67.55 arity_Polynomial__Opoly__Rings_Osemiring,
% 298.62/67.55 arity_Polynomial__Opoly__Rings_Osemiring__0,
% 298.62/67.55 arity_Polynomial__Opoly__Rings_Ozero__neq__one,
% 298.62/67.55 arity_Polynomial__Opoly__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,
% 298.62/67.55 arity_RealDef__Oreal__Fields_Ofield,
% 298.62/67.55 arity_RealDef__Oreal__Fields_Ofield__inverse__zero,
% 298.62/67.55 arity_RealDef__Oreal__Groups_Oab__group__add,
% 298.62/67.55 arity_RealDef__Oreal__Groups_Oab__semigroup__add,
% 298.62/67.55 arity_RealDef__Oreal__Groups_Oab__semigroup__mult,
% 298.62/67.55 arity_RealDef__Oreal__Groups_Oabs__if,
% 298.62/67.55 arity_RealDef__Oreal__Groups_Ocancel__ab__semigroup__add,
% 298.62/67.55 arity_RealDef__Oreal__Groups_Ocancel__comm__monoid__add,
% 298.62/67.55 arity_RealDef__Oreal__Groups_Ocancel__semigroup__add,
% 298.62/67.55 arity_RealDef__Oreal__Groups_Ocomm__monoid__add,
% 298.62/67.55 arity_RealDef__Oreal__Groups_Ocomm__monoid__mult,
% 298.62/67.55 arity_RealDef__Oreal__Groups_Ominus, arity_RealDef__Oreal__Groups_Omonoid__add,
% 298.62/67.55 arity_RealDef__Oreal__Groups_Oone,
% 298.62/67.55 arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add,
% 298.62/67.55 arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le,
% 298.62/67.55 arity_RealDef__Oreal__Groups_Oordered__cancel__ab__semigroup__add,
% 298.62/67.55 arity_RealDef__Oreal__Groups_Osgn__if, arity_RealDef__Oreal__Groups_Ouminus,
% 298.62/67.55 arity_RealDef__Oreal__Groups_Ozero, arity_RealDef__Oreal__Int_Oring__char__0,
% 298.62/67.55 arity_RealDef__Oreal__Orderings_Olinorder, arity_RealDef__Oreal__Orderings_Oord,
% 298.62/67.55 arity_RealDef__Oreal__Orderings_Oorder,
% 298.62/67.55 arity_RealDef__Oreal__Orderings_Opreorder,
% 298.62/67.55 arity_RealDef__Oreal__RealVector_Oreal__algebra__1,
% 298.62/67.55 arity_RealDef__Oreal__RealVector_Oreal__div__algebra,
% 298.62/67.55 arity_RealDef__Oreal__RealVector_Oreal__normed__algebra,
% 298.62/67.55 arity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1,
% 298.62/67.55 arity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra,
% 298.62/67.55 arity_RealDef__Oreal__RealVector_Oreal__normed__vector,
% 298.62/67.55 arity_RealDef__Oreal__Rings_Ocomm__ring,
% 298.62/67.55 arity_RealDef__Oreal__Rings_Ocomm__ring__1,
% 298.62/67.55 arity_RealDef__Oreal__Rings_Ocomm__semiring,
% 298.62/67.55 arity_RealDef__Oreal__Rings_Ocomm__semiring__0,
% 298.62/67.55 arity_RealDef__Oreal__Rings_Ocomm__semiring__1,
% 298.62/67.55 arity_RealDef__Oreal__Rings_Odvd, arity_RealDef__Oreal__Rings_Oidom,
% 298.62/67.55 arity_RealDef__Oreal__Rings_Olinordered__comm__semiring__strict,
% 298.62/67.55 arity_RealDef__Oreal__Rings_Olinordered__idom,
% 298.62/67.55 arity_RealDef__Oreal__Rings_Olinordered__ring,
% 298.62/67.55 arity_RealDef__Oreal__Rings_Olinordered__semiring,
% 298.62/67.55 arity_RealDef__Oreal__Rings_Olinordered__semiring__1,
% 298.62/67.55 arity_RealDef__Oreal__Rings_Olinordered__semiring__1__strict,
% 298.62/67.55 arity_RealDef__Oreal__Rings_Oordered__comm__semiring,
% 298.62/67.55 arity_RealDef__Oreal__Rings_Oordered__ring__abs,
% 298.62/67.55 arity_RealDef__Oreal__Rings_Oordered__semiring,
% 298.62/67.55 arity_RealDef__Oreal__Rings_Oring, arity_RealDef__Oreal__Rings_Oring__1,
% 298.62/67.55 arity_RealDef__Oreal__Rings_Osemiring, arity_RealDef__Oreal__Rings_Osemiring__0,
% 298.62/67.55 arity_RealDef__Oreal__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,
% 298.62/67.55 arity_fun__Groups_Ominus, arity_fun__Groups_Ouminus,
% 298.62/67.55 arity_fun__Lattices_Oboolean__algebra, arity_fun__Orderings_Oord,
% 298.62/67.55 arity_fun__Orderings_Oorder, arity_fun__Orderings_Opreorder,
% 298.62/67.55 fact_Deriv_Oadd__diff__add, fact_Deriv_Oinverse__diff__inverse,
% 298.62/67.55 fact_Limits_Ominus__diff__minus, fact_Nat_Oadd__0__right,
% 298.62/67.55 fact_Nat_Odiff__diff__eq,
% 298.62/67.55 fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,
% 298.62/67.55 fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,
% 298.62/67.55 fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,
% 298.62/67.55 fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,
% 298.62/67.55 fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,
% 298.62/67.55 fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,
% 298.62/67.55 fact__096EX_Aq_O_Apsize_Aq_A_061_Apsize_Ap_A_G_A_IALL_Ax_O_Apoly_Aq_Ax_A_061_Apoly_Ap_A_Ic_A_L_Ax_J_J_096,
% 298.62/67.55 fact__096_B_Bthesis_O_A_I_B_Bq_O_A_091_124_Apsize_Aq_A_061_Apsize_Ap_059_AALL_Ax_O_Apoly_Aq_Ax_A_061_Apoly_Ap_A_Ic_A_L_Ax_J_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096,
% 298.62/67.55 fact__096_I_B_Bx_Ay_O_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_Ax_A_061_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_Ay_J_061_061_062_AFalse_096,
% 298.62/67.55 fact__096constant_A_Ipoly_Aq_J_A_061_061_062_AFalse_096,
% 298.62/67.55 fact__096poly_Ap_Ac_A_061_A0_A_061_061_062_AEX_Az_O_Apoly_Ap_Az_A_061_A0_096,
% 298.62/67.55 fact__096psize_Ap_A_061_Ak_A_L_A1_A_061_061_062_AEX_Aw_O_Acmod_A_Ipoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_Aw_J_A_060_A1_096,
% 298.62/67.55 fact_a00, fact_ab__diff__minus, fact_ab__left__minus,
% 298.62/67.55 fact_ab__semigroup__add__class_Oadd__ac_I1_J,
% 298.62/67.55 fact_ab__semigroup__mult__class_Omult__ac_I1_J, fact_abs__add__abs,
% 298.62/67.55 fact_abs__diff__less__iff, fact_abs__diff__triangle__ineq, fact_abs__eq__mult,
% 298.62/67.55 fact_abs__ge__minus__self, fact_abs__ge__self, fact_abs__idempotent,
% 298.62/67.55 fact_abs__if, fact_abs__inverse, fact_abs__leI, fact_abs__le__D1,
% 298.62/67.55 fact_abs__le__D2, fact_abs__le__iff, fact_abs__le__interval__iff,
% 298.62/67.55 fact_abs__less__iff, fact_abs__minus__add__cancel, fact_abs__minus__cancel,
% 298.62/67.55 fact_abs__minus__commute, fact_abs__minus__le__zero, fact_abs__mult,
% 298.62/67.55 fact_abs__mult__less, fact_abs__mult__pos, fact_abs__mult__self,
% 298.62/67.55 fact_abs__of__neg, fact_abs__of__nonneg, fact_abs__of__nonpos,
% 298.62/67.55 fact_abs__of__pos, fact_abs__one, fact_abs__poly__def, fact_abs__power__minus,
% 298.62/67.55 fact_abs__real__of__nat__cancel, fact_abs__sgn, fact_abs__sum__triangle__ineq,
% 298.62/67.55 fact_abs__triangle__ineq, fact_abs__triangle__ineq2,
% 298.62/67.55 fact_abs__triangle__ineq2__sym, fact_abs__triangle__ineq3,
% 298.62/67.55 fact_abs__triangle__ineq4, fact_abs__zero, fact_abs__zmult__eq__1,
% 298.62/67.55 fact_add1__zle__eq, fact_add_Ocomm__neutral, fact_add__0, fact_add__0__iff,
% 298.62/67.55 fact_add__0__left, fact_add__0__right, fact_add__diff__assoc,
% 298.62/67.55 fact_add__diff__assoc2, fact_add__diff__cancel, fact_add__diff__inverse,
% 298.62/67.55 fact_add__eq__0__iff, fact_add__eq__self__zero, fact_add__gr__0,
% 298.62/67.55 fact_add__imp__eq, fact_add__increasing, fact_add__increasing2, fact_add__is__0,
% 298.62/67.55 fact_add__leD1, fact_add__leD2, fact_add__leE, fact_add__le__cancel__left,
% 298.62/67.55 fact_add__le__cancel__right, fact_add__le__imp__le__left,
% 298.62/67.55 fact_add__le__imp__le__right, fact_add__le__less__mono, fact_add__le__mono,
% 298.62/67.55 fact_add__le__mono1, fact_add__left__cancel, fact_add__left__imp__eq,
% 298.62/67.55 fact_add__left__mono, fact_add__lessD1, fact_add__less__cancel__left,
% 298.62/67.55 fact_add__less__cancel__right, fact_add__less__imp__less__left,
% 298.62/67.55 fact_add__less__imp__less__right, fact_add__less__le__mono,
% 298.62/67.55 fact_add__less__mono, fact_add__less__mono1, fact_add__minus__cancel,
% 298.62/67.55 fact_add__mono, fact_add__monom, fact_add__mult__distrib,
% 298.62/67.55 fact_add__mult__distrib2, fact_add__pCons, fact_add__poly__code_I1_J,
% 298.62/67.55 fact_add__poly__code_I2_J, fact_add__right__cancel, fact_add__right__imp__eq,
% 298.62/67.55 fact_add__right__mono, fact_add__scale__eq__noteq, fact_add__strict__increasing,
% 298.62/67.55 fact_add__strict__increasing2, fact_add__strict__left__mono,
% 298.62/67.55 fact_add__strict__mono, fact_add__strict__right__mono, fact_assms, fact_c,
% 298.62/67.55 fact_combine__common__factor, fact_comm__mult__left__mono,
% 298.62/67.55 fact_comm__mult__strict__left__mono,
% 298.62/67.55 fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,
% 298.62/67.55 fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,
% 298.62/67.55 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,
% 298.62/67.55 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,
% 298.62/67.55 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,
% 298.62/67.55 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,
% 298.62/67.55 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,
% 298.62/67.55 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,
% 298.62/67.55 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,
% 298.62/67.55 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,
% 298.62/67.55 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,
% 298.62/67.55 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,
% 298.62/67.55 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,
% 298.62/67.55 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,
% 298.62/67.55 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,
% 298.62/67.55 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,
% 298.62/67.55 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,
% 298.62/67.55 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,
% 298.62/67.55 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,
% 298.62/67.55 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,
% 298.62/67.55 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,
% 298.62/67.55 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,
% 298.62/67.55 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,
% 298.62/67.55 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,
% 298.62/67.55 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,
% 298.62/67.55 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,
% 298.62/67.55 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,
% 298.62/67.55 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,
% 298.62/67.55 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,
% 298.62/67.55 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,
% 298.62/67.55 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,
% 298.62/67.55 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,
% 298.62/67.55 fact_comm__semiring__class_Odistrib, fact_compl__eq__compl__iff,
% 298.62/67.55 fact_compl__le__compl__iff, fact_compl__mono, fact_complex__diff__def,
% 298.62/67.55 fact_complex__i__not__one, fact_complex__i__not__zero,
% 298.62/67.55 fact_complex__mod__minus__le__complex__mod, fact_complex__mod__triangle__ineq2,
% 298.62/67.55 fact_complex__mod__triangle__sub, fact_constant__def, fact_convex__bound__le,
% 298.62/67.55 fact_convex__bound__lt, fact_cq0, fact_crossproduct__eq,
% 298.62/67.55 fact_crossproduct__noteq, fact_decr__lemma, fact_decseq__def, fact_diff__0,
% 298.62/67.55 fact_diff__0__eq__0, fact_diff__0__right, fact_diff__add__0,
% 298.62/67.55 fact_diff__add__assoc, fact_diff__add__assoc2, fact_diff__add__cancel,
% 298.62/67.55 fact_diff__add__inverse, fact_diff__add__inverse2, fact_diff__cancel,
% 298.62/67.55 fact_diff__cancel2, fact_diff__commute, fact_diff__def, fact_diff__diff__cancel,
% 298.62/67.55 fact_diff__diff__left, fact_diff__diff__right, fact_diff__eq__diff__eq,
% 298.62/67.55 fact_diff__eq__diff__less, fact_diff__eq__diff__less__eq, fact_diff__int__def,
% 298.62/67.55 fact_diff__int__def__symmetric, fact_diff__is__0__eq, fact_diff__is__0__eq_H,
% 298.62/67.55 fact_diff__le__mono, fact_diff__le__mono2, fact_diff__le__self, fact_diff__less,
% 298.62/67.55 fact_diff__less__mono, fact_diff__less__mono2, fact_diff__minus__eq__add,
% 298.62/67.55 fact_diff__monom, fact_diff__mult__distrib, fact_diff__mult__distrib2,
% 298.62/67.55 fact_diff__pCons, fact_diff__poly__code_I1_J, fact_diff__poly__code_I2_J,
% 298.62/67.55 fact_diff__self, fact_diff__self__eq__0, fact_diffs0__imp__equal,
% 298.62/67.55 fact_division__ring__inverse__add, fact_division__ring__inverse__diff,
% 298.62/67.55 fact_double__add__le__zero__iff__single__add__le__zero,
% 298.62/67.55 fact_double__add__less__zero__iff__single__add__less__zero, fact_double__compl,
% 298.62/67.55 fact_double__eq__0__iff, fact_double__zero__sym, fact_dvdI, fact_dvd__0__right,
% 298.62/67.55 fact_dvd__diff, fact_dvd__minus__iff, fact_dvd__mult, fact_dvd__mult2,
% 298.62/67.55 fact_dvd__mult__cancel__left, fact_dvd__mult__left, fact_dvd__mult__right,
% 298.62/67.55 fact_dvd__smult, fact_dvd__smult__cancel, fact_dvd__smult__iff,
% 298.62/67.55 fact_dvd__triv__left, fact_dvd__triv__right, fact_eq__add__iff1,
% 298.62/67.55 fact_eq__add__iff2, fact_eq__diff__iff, fact_eq__iff__diff__eq__0,
% 298.62/67.55 fact_eq__imp__le, fact_eq__neg__iff__add__eq__0, fact_equation__minus__iff,
% 298.62/67.55 fact_even__less__0__iff, fact_ext, fact_field__inverse,
% 298.62/67.55 fact_field__inverse__zero, fact_gr0I, fact_gr__implies__not0, fact_incr__lemma,
% 298.62/67.55 fact_inf__period_I3_J, fact_inf__period_I4_J, fact_int__0__less__1,
% 298.62/67.55 fact_int__0__neq__1, fact_int__one__le__iff__zero__less, fact_inverse__1,
% 298.62/67.55 fact_inverse__add, fact_inverse__eq__1__iff, fact_inverse__eq__iff__eq,
% 298.62/67.55 fact_inverse__eq__imp__eq, fact_inverse__i, fact_inverse__inverse__eq,
% 298.62/67.55 fact_inverse__le__1__iff, fact_inverse__le__imp__le,
% 298.62/67.55 fact_inverse__le__imp__le__neg, fact_inverse__less__1__iff,
% 298.62/67.55 fact_inverse__less__imp__less, fact_inverse__less__imp__less__neg,
% 298.62/67.55 fact_inverse__minus__eq, fact_inverse__mult__distrib, fact_inverse__unique,
% 298.62/67.55 fact_inverse__zero, fact_kas_I1_J, fact_kas_I2_J, fact_le0, fact_leD, fact_leI,
% 298.62/67.55 fact_le__0__eq, fact_le__Suc__ex__iff, fact_le__add1, fact_le__add2,
% 298.62/67.55 fact_le__add__diff, fact_le__add__diff__inverse, fact_le__add__diff__inverse2,
% 298.62/67.55 fact_le__add__iff1, fact_le__add__iff2, fact_le__antisym, fact_le__cube,
% 298.62/67.55 fact_le__diff__conv, fact_le__diff__conv2, fact_le__diff__iff,
% 298.62/67.55 fact_le__eq__less__or__eq, fact_le__funD, fact_le__funE, fact_le__fun__def,
% 298.62/67.55 fact_le__iff__add, fact_le__iff__diff__le__0, fact_le__imp__0__less,
% 298.62/67.55 fact_le__imp__diff__is__add, fact_le__imp__inverse__le,
% 298.62/67.55 fact_le__imp__inverse__le__neg, fact_le__imp__neg__le, fact_le__minus__iff,
% 298.62/67.55 fact_le__minus__self__iff, fact_le__natfloor, fact_le__neq__implies__less,
% 298.62/67.55 fact_le__refl, fact_le__square, fact_le__trans, fact_left__add__mult__distrib,
% 298.62/67.55 fact_left__inverse, fact_left__minus, fact_less_Ohyps, fact_less_Oprems,
% 298.62/67.55 fact_less__1__mult, fact_less__add__eq__less, fact_less__add__iff1,
% 298.62/67.55 fact_less__add__iff2, fact_less__add__one, fact_less__bin__lemma,
% 298.62/67.55 fact_less__diff__conv, fact_less__diff__iff, fact_less__eq__nat_Osimps_I1_J,
% 298.62/67.55 fact_less__eq__poly__def, fact_less__eq__real__def, fact_less__fun__def,
% 298.62/67.55 fact_less__iff__diff__less__0, fact_less__imp__diff__less,
% 298.62/67.55 fact_less__imp__inverse__less, fact_less__imp__inverse__less__neg,
% 298.62/67.55 fact_less__imp__le__nat, fact_less__imp__neq, fact_less__irrefl__nat,
% 298.62/67.55 fact_less__le__not__le, fact_less__minus__iff, fact_less__minus__self__iff,
% 298.62/67.55 fact_less__nat__zero__code, fact_less__not__refl, fact_less__not__refl2,
% 298.62/67.55 fact_less__not__refl3, fact_less__or__eq__imp__le, fact_less__poly__def,
% 298.62/67.55 fact_less__zeroE, fact_lgqr, fact_linorder__antisym__conv1,
% 298.62/67.55 fact_linorder__antisym__conv2, fact_linorder__antisym__conv3,
% 298.62/67.55 fact_linorder__cases, fact_linorder__le__cases, fact_linorder__le__less__linear,
% 298.62/67.55 fact_linorder__less__linear, fact_linorder__linear, fact_linorder__neqE,
% 298.62/67.55 fact_linorder__neqE__linordered__idom, fact_linorder__neqE__nat,
% 298.62/67.55 fact_linorder__neq__iff, fact_linorder__not__le, fact_linorder__not__less,
% 298.62/67.55 fact_minus__add, fact_minus__add__cancel, fact_minus__add__distrib,
% 298.62/67.55 fact_minus__apply, fact_minus__diff__eq, fact_minus__dvd__iff,
% 298.62/67.55 fact_minus__equation__iff, fact_minus__le__iff, fact_minus__le__self__iff,
% 298.62/67.55 fact_minus__less__iff, fact_minus__minus, fact_minus__monom,
% 298.62/67.55 fact_minus__mult__commute, fact_minus__mult__left, fact_minus__mult__minus,
% 298.62/67.55 fact_minus__mult__right, fact_minus__nat_Odiff__0, fact_minus__pCons,
% 298.62/67.55 fact_minus__poly__code_I1_J, fact_minus__poly__code_I2_J, fact_minus__real__def,
% 298.62/67.55 fact_minus__unique, fact_minus__zero, fact_monom__0, fact_monom__eq__0,
% 298.62/67.55 fact_monom__eq__0__iff, fact_monom__eq__iff, fact_mult_Oadd__left,
% 298.62/67.55 fact_mult_Oadd__right, fact_mult_Ocomm__neutral, fact_mult_Odiff__left,
% 298.62/67.55 fact_mult_Odiff__right, fact_mult_Ominus__left, fact_mult_Ominus__right,
% 298.62/67.55 fact_mult_Oprod__diff__prod, fact_mult_Ozero__left, fact_mult_Ozero__right,
% 298.62/67.55 fact_mult__0, fact_mult__0__right, fact_mult__1, fact_mult__1__left,
% 298.62/67.55 fact_mult__cancel1, fact_mult__cancel2, fact_mult__diff__mult,
% 298.62/67.55 fact_mult__dvd__mono, fact_mult__idem, fact_mult__is__0, fact_mult__le__cancel1,
% 298.62/67.55 fact_mult__le__cancel2, fact_mult__le__cancel__left__neg,
% 298.62/67.55 fact_mult__le__cancel__left__pos, fact_mult__le__less__imp__less,
% 298.62/67.55 fact_mult__le__mono, fact_mult__le__mono1, fact_mult__le__mono2,
% 298.62/67.55 fact_mult__left_Oadd, fact_mult__left_Odiff, fact_mult__left_Ominus,
% 298.62/67.55 fact_mult__left_Ozero, fact_mult__left__idem, fact_mult__left__le__imp__le,
% 298.62/67.55 fact_mult__left__le__one__le, fact_mult__left__less__imp__less,
% 298.62/67.55 fact_mult__left__mono, fact_mult__left__mono__neg, fact_mult__less__cancel1,
% 298.62/67.55 fact_mult__less__cancel2, fact_mult__less__cancel__left__neg,
% 298.62/67.55 fact_mult__less__cancel__left__pos, fact_mult__less__cancel__right__disj,
% 298.62/67.55 fact_mult__less__imp__less__left, fact_mult__less__imp__less__right,
% 298.62/67.55 fact_mult__less__le__imp__less, fact_mult__less__mono1, fact_mult__less__mono2,
% 298.62/67.55 fact_mult__mono, fact_mult__mono_H, fact_mult__monom, fact_mult__neg__pos,
% 298.62/67.55 fact_mult__nonpos__nonneg, fact_mult__pCons__left, fact_mult__pCons__right,
% 298.62/67.55 fact_mult__poly__0__left, fact_mult__poly__0__right, fact_mult__poly__add__left,
% 298.62/67.55 fact_mult__right_Oadd, fact_mult__right_Odiff, fact_mult__right_Ominus,
% 298.62/67.55 fact_mult__right_Ozero, fact_mult__right__le__imp__le,
% 298.62/67.55 fact_mult__right__le__one__le, fact_mult__right__less__imp__less,
% 298.62/67.55 fact_mult__right__mono, fact_mult__right__mono__neg, fact_mult__sgn__abs,
% 298.62/67.55 fact_mult__smult__left, fact_mult__smult__right,
% 298.62/67.55 fact_mult__strict__left__mono__neg, fact_mult__strict__mono,
% 298.62/67.55 fact_mult__strict__mono_H, fact_mult__strict__right__mono,
% 298.62/67.55 fact_mult__strict__right__mono__neg, fact_mult__zero__left,
% 298.62/67.55 fact_mult__zero__right, fact_nat__0__less__mult__iff, fact_nat__add__assoc,
% 298.62/67.55 fact_nat__add__commute, fact_nat__add__left__cancel,
% 298.62/67.55 fact_nat__add__left__cancel__le, fact_nat__add__left__cancel__less,
% 298.62/67.55 fact_nat__add__left__commute, fact_nat__add__right__cancel,
% 298.62/67.55 fact_nat__diff__add__eq1, fact_nat__diff__add__eq2, fact_nat__diff__split,
% 298.62/67.55 fact_nat__diff__split__asm, fact_nat__eq__add__iff1, fact_nat__eq__add__iff2,
% 298.62/67.55 fact_nat__le__add__iff1, fact_nat__le__add__iff2, fact_nat__le__linear,
% 298.62/67.55 fact_nat__less__add__iff1, fact_nat__less__add__iff2, fact_nat__less__cases,
% 298.62/67.55 fact_nat__less__le, fact_nat__mult__assoc, fact_nat__mult__commute,
% 298.62/67.55 fact_nat__mult__eq__cancel1, fact_nat__mult__eq__cancel__disj,
% 298.62/67.55 fact_nat__mult__le__cancel1, fact_nat__mult__less__cancel1, fact_nat__neq__iff,
% 298.62/67.55 fact_nat__power__less__imp__less, fact_nat__zero__less__power__iff,
% 298.62/67.55 fact_natceiling__le, fact_natceiling__mono, fact_natceiling__real__of__nat,
% 298.62/67.55 fact_natceiling__subtract, fact_natfloor__mono, fact_natfloor__real__of__nat,
% 298.62/67.55 fact_natfloor__subtract, fact_neg__equal__iff__equal, fact_neg__le__iff__le,
% 298.62/67.55 fact_neg__less__iff__less, fact_neg__less__nonneg, fact_neq0__conv,
% 298.62/67.55 fact_nonzero__abs__inverse, fact_nonzero__inverse__eq__imp__eq,
% 298.62/67.55 fact_nonzero__inverse__inverse__eq, fact_nonzero__inverse__minus__eq,
% 298.62/67.55 fact_nonzero__inverse__mult__distrib, fact_nonzero__norm__inverse,
% 298.62/67.55 fact_nonzero__power__inverse, fact_norm__add__less, fact_norm__diff__ineq,
% 298.62/67.55 fact_norm__diff__triangle__ineq, fact_norm__inverse, fact_norm__minus__cancel,
% 298.62/67.55 fact_norm__minus__commute, fact_norm__of__real, fact_norm__triangle__ineq,
% 298.62/67.55 fact_norm__triangle__ineq2, fact_norm__triangle__ineq3,
% 298.62/67.55 fact_norm__triangle__ineq4, fact_not__add__less1, fact_not__add__less2,
% 298.62/67.55 fact_not__leE, fact_not__less0, fact_not__less__iff__gr__or__eq,
% 298.62/67.55 fact_not__pos__poly__0, fact_not__square__less__zero,
% 298.62/67.55 fact_not__sum__squares__lt__zero, fact_odd__less__0, fact_odd__nonzero,
% 298.62/67.55 fact_of__real_Oadd, fact_of__real_Odiff, fact_of__real_Ominus,
% 298.62/67.55 fact_of__real__add, fact_of__real__diff, fact_of__real__eq__iff,
% 298.62/67.55 fact_of__real__inverse, fact_of__real__minus, fact_offset__poly__eq__0__lemma,
% 298.62/67.55 fact_offset__poly__pCons, fact_one__le__inverse, fact_one__le__inverse__iff,
% 298.62/67.55 fact_one__le__power, fact_one__less__inverse, fact_one__less__inverse__iff,
% 298.62/67.55 fact_one__less__power, fact_one__neq__zero, fact_one__poly__def,
% 298.62/67.55 fact_one__reorient, fact_ord__eq__le__trans, fact_ord__eq__less__trans,
% 298.62/67.55 fact_ord__le__eq__trans, fact_ord__less__eq__trans, fact_order__1,
% 298.62/67.55 fact_order__antisym, fact_order__antisym__conv, fact_order__eq__iff,
% 298.62/67.55 fact_order__eq__refl, fact_order__le__imp__less__or__eq, fact_order__le__less,
% 298.62/67.55 fact_order__le__less__trans, fact_order__le__neq__trans, fact_order__less__asym,
% 298.62/67.55 fact_order__less__asym_H, fact_order__less__imp__le,
% 298.62/67.55 fact_order__less__imp__not__eq, fact_order__less__imp__not__eq2,
% 298.62/67.55 fact_order__less__imp__not__less, fact_order__less__irrefl,
% 298.62/67.55 fact_order__less__le, fact_order__less__le__trans, fact_order__less__not__sym,
% 298.62/67.55 fact_order__less__trans, fact_order__neq__le__trans, fact_order__refl,
% 298.62/67.55 fact_order__root, fact_order__trans, fact_pCons__0__0, fact_pCons__eq__0__iff,
% 298.62/67.55 fact_pCons__eq__iff, fact_pc0, fact_pcompose__0, fact_pcompose__pCons,
% 298.62/67.55 fact_plus__nat_Oadd__0, fact_poly__0, fact_poly__1, fact_poly__add,
% 298.62/67.55 fact_poly__diff, fact_poly__eq__iff, fact_poly__minus, fact_poly__monom,
% 298.62/67.55 fact_poly__mult, fact_poly__pCons, fact_poly__pcompose, fact_poly__power,
% 298.62/67.55 fact_poly__replicate__append, fact_poly__smult, fact_poly__zero,
% 298.62/67.55 fact_pos__add__strict, fact_pos__poly__add, fact_pos__poly__mult,
% 298.62/67.55 fact_pos__poly__pCons, fact_pos__poly__total, fact_pos__zmult__eq__1__iff,
% 298.62/67.55 fact_positive__imp__inverse__positive, fact_power_Opower_Opower__0,
% 298.62/67.55 fact_power__0, fact_power__0__left, fact_power__Suc__less, fact_power__abs,
% 298.62/67.55 fact_power__add, fact_power__commutes, fact_power__decreasing,
% 298.62/67.55 fact_power__eq__imp__eq__base, fact_power__gt1__lemma, fact_power__increasing,
% 298.62/67.55 fact_power__increasing__iff, fact_power__inject__exp, fact_power__inverse,
% 298.62/67.55 fact_power__le__imp__le__exp, fact_power__less__imp__less__base,
% 298.62/67.55 fact_power__less__imp__less__exp, fact_power__less__power__Suc,
% 298.62/67.55 fact_power__minus, fact_power__mono, fact_power__mult,
% 298.62/67.55 fact_power__mult__distrib, fact_power__one, fact_power__power__power,
% 298.62/67.55 fact_power__strict__decreasing, fact_power__strict__increasing,
% 298.62/67.55 fact_power__strict__increasing__iff, fact_power__strict__mono, fact_pqc0,
% 298.62/67.55 fact_psize__eq__0__iff, fact_q_I1_J, fact_q_I2_J, fact_q__neg__lemma,
% 298.62/67.55 fact_q__pos__lemma, fact_qnc, fact_r01, fact_real__add__left__mono,
% 298.62/67.55 fact_real__diff__def, fact_real__le__antisym, fact_real__le__linear,
% 298.62/67.55 fact_real__le__refl, fact_real__le__trans, fact_real__less__def,
% 298.62/67.55 fact_real__natceiling__ge, fact_real__norm__def, fact_real__of__nat__add,
% 298.62/67.55 fact_real__of__nat__diff, fact_real__of__nat__inject,
% 298.62/67.55 fact_real__of__nat__le__iff, fact_real__of__nat__less__iff,
% 298.62/67.55 fact_real__squared__diff__one__factored, fact_right__inverse, fact_right__minus,
% 298.62/67.55 fact_right__minus__eq, fact_rnc, fact_self__quotient__aux1,
% 298.62/67.55 fact_self__quotient__aux2, fact_sgn0, fact_sgn__0__0, fact_sgn__1__neg,
% 298.62/67.55 fact_sgn__1__pos, fact_sgn__greater, fact_sgn__if, fact_sgn__less,
% 298.62/67.55 fact_sgn__minus, fact_sgn__mult, fact_sgn__neg, fact_sgn__of__real,
% 298.62/67.55 fact_sgn__one, fact_sgn__poly__def, fact_sgn__pos, fact_sgn__sgn,
% 298.62/67.55 fact_sgn__times, fact_sgn__zero, fact_sgn__zero__iff, fact_smult__0__left,
% 298.62/67.55 fact_smult__0__right, fact_smult__1__left, fact_smult__add__left,
% 298.62/67.55 fact_smult__add__right, fact_smult__diff__left, fact_smult__diff__right,
% 298.62/67.55 fact_smult__dvd, fact_smult__dvd__cancel, fact_smult__dvd__iff,
% 298.62/67.55 fact_smult__eq__0__iff, fact_smult__minus__left, fact_smult__minus__right,
% 298.62/67.55 fact_smult__monom, fact_smult__pCons, fact_smult__smult,
% 298.62/67.55 fact_square__eq__1__iff, fact_square__eq__iff, fact_sum__squares__eq__zero__iff,
% 298.62/67.55 fact_sum__squares__ge__zero, fact_sum__squares__gt__zero__iff,
% 298.62/67.55 fact_sum__squares__le__zero__iff, fact_synthetic__div__0,
% 298.62/67.55 fact_synthetic__div__correct, fact_synthetic__div__correct_H,
% 298.62/67.55 fact_synthetic__div__pCons, fact_synthetic__div__unique,
% 298.62/67.55 fact_synthetic__div__unique__lemma, fact_termination__basic__simps_I1_J,
% 298.62/67.55 fact_termination__basic__simps_I2_J, fact_termination__basic__simps_I3_J,
% 298.62/67.55 fact_termination__basic__simps_I4_J, fact_termination__basic__simps_I5_J,
% 298.62/67.55 fact_times_Oidem, fact_trans__le__add1, fact_trans__le__add2,
% 298.62/67.55 fact_trans__less__add1, fact_trans__less__add2, fact_tsub__def, fact_tsub__eq,
% 298.62/67.55 fact_uminus__apply, fact_unique__quotient__lemma,
% 298.62/67.55 fact_unique__quotient__lemma__neg, fact_unity__coeff__ex, fact_w0,
% 298.62/67.55 fact_xt1_I10_J, fact_xt1_I11_J, fact_xt1_I12_J, fact_xt1_I1_J, fact_xt1_I2_J,
% 298.62/67.55 fact_xt1_I3_J, fact_xt1_I4_J, fact_xt1_I5_J, fact_xt1_I6_J, fact_xt1_I7_J,
% 298.62/67.55 fact_xt1_I8_J, fact_xt1_I9_J, fact_zabs__def, fact_zabs__less__one__iff,
% 298.62/67.55 fact_zadd__0, fact_zadd__0__right, fact_zadd__assoc, fact_zadd__commute,
% 298.62/67.55 fact_zadd__left__commute, fact_zadd__left__mono, fact_zadd__strict__right__mono,
% 298.62/67.55 fact_zadd__zless__mono, fact_zadd__zminus__inverse2, fact_zadd__zmult__distrib,
% 298.62/67.55 fact_zadd__zmult__distrib2, fact_zdiff__zmult__distrib,
% 298.62/67.55 fact_zdiff__zmult__distrib2, fact_zdiv__mono2__lemma,
% 298.62/67.55 fact_zdiv__mono2__neg__lemma,
% 298.62/67.55 fact_zero__le__double__add__iff__zero__le__single__add,
% 298.62/67.55 fact_zero__le__natceiling, fact_zero__le__natfloor, fact_zero__le__power__abs,
% 298.62/67.55 fact_zero__le__square, fact_zero__le__zpower__abs, fact_zero__less__diff,
% 298.62/67.55 fact_zero__less__double__add__iff__zero__less__single__add,
% 298.62/67.55 fact_zero__less__power__nat__eq, fact_zero__less__two,
% 298.62/67.55 fact_zero__less__zpower__abs__iff, fact_zero__neq__one, fact_zero__reorient,
% 298.62/67.55 fact_zle__add1__eq__le, fact_zle__antisym, fact_zle__diff1__eq,
% 298.62/67.55 fact_zle__linear, fact_zle__refl, fact_zle__trans, fact_zless__add1__eq,
% 298.62/67.55 fact_zless__imp__add1__zle, fact_zless__le, fact_zless__linear, fact_zminus__0,
% 298.62/67.55 fact_zminus__zadd__distrib, fact_zminus__zminus, fact_zmult__1,
% 298.62/67.55 fact_zmult__1__right, fact_zmult__assoc, fact_zmult__commute,
% 298.62/67.55 fact_zmult__zless__mono2, fact_zmult__zminus, fact_zpower__zadd__distrib,
% 298.62/67.55 fact_zpower__zpower
% 298.62/67.55
% 298.62/67.55 Those formulas are unsatisfiable:
% 298.62/67.55 ---------------------------------
% 298.62/67.55
% 298.62/67.55 Begin of proof
% 298.62/67.56 |
% 298.62/67.56 | ALPHA: (fact_t_I2_J) implies:
% 298.62/67.56 | (1) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 298.62/67.56 | $i(v0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_t____,
% 298.62/67.56 | v0))
% 298.62/67.56 |
% 298.62/67.56 | ALPHA: (fact__0960_A_060_At_A_094_Ak_096) implies:
% 298.62/67.56 | (2) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 298.62/67.56 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.62/67.56 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v1 & hAPP(v2,
% 298.62/67.56 | v_k____) = v3 & hAPP(v1, v_t____) = v2 & $i(v3) & $i(v2) & $i(v1) &
% 298.62/67.56 | $i(v0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3))
% 298.62/67.56 |
% 298.62/67.56 | ALPHA: (fact__096t_A_K_A_Icmod_Aw_A_094_A_Ik_A_L_A1_J_A_K_Am_J_A_060_A1_096)
% 298.62/67.56 | implies:
% 298.62/67.56 | (3) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 298.62/67.56 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 298.62/67.56 | [v10: $i] : ? [v11: $i] :
% 298.62/67.56 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 298.62/67.56 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v3 &
% 298.62/67.56 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, v5) = v6 &
% 298.62/67.56 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v2 &
% 298.62/67.56 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v5 &
% 298.62/67.56 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v11 & hAPP(v8, v_m____)
% 298.62/67.56 | = v9 & hAPP(v4, v6) = v7 & hAPP(v2, v3) = v4 & hAPP(v1, v9) = v10 &
% 298.62/67.56 | hAPP(v0, v7) = v8 & hAPP(v0, v_t____) = v1 & $i(v11) & $i(v10) &
% 298.62/67.56 | $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2)
% 298.62/67.56 | & $i(v1) & $i(v0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 298.62/67.56 | v10, v11))
% 298.62/67.56 |
% 298.62/67.56 | ALPHA: (fact_t_I1_J) implies:
% 298.62/67.56 | (4) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.62/67.56 | $i(v0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 298.62/67.56 | v_t____))
% 298.62/67.56 |
% 298.62/67.56 | ALPHA: (fact_m_I1_J) implies:
% 298.62/67.56 | (5) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.62/67.56 | $i(v0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 298.62/67.56 | v_m____))
% 298.62/67.56 |
% 298.62/67.56 | ALPHA: (fact_t_I3_J) implies:
% 298.62/67.56 | (6) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 298.62/67.56 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 298.62/67.56 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v8) = v9 &
% 298.62/67.56 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 298.62/67.56 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v2 &
% 298.62/67.56 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, v4) = v5 &
% 298.62/67.56 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v1 &
% 298.62/67.56 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v4 & hAPP(v7, v_m____) = v8
% 298.62/67.56 | & hAPP(v3, v5) = v6 & hAPP(v1, v2) = v3 & hAPP(v0, v6) = v7 & $i(v9)
% 298.62/67.56 | & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 298.62/67.56 | $i(v1) & $i(v0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 298.62/67.56 | v_t____, v9))
% 298.62/67.56 |
% 298.62/67.56 | ALPHA: (fact__096t_A_K_Acmod_Aw_A_060_061_A1_A_K_Acmod_Aw_096) implies:
% 298.62/67.56 | (7) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 298.62/67.56 | ? [v5: $i] : ? [v6: $i] :
% 298.62/67.56 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 298.62/67.56 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v2 &
% 298.62/67.56 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v4 & hAPP(v5, v2) = v6
% 298.62/67.56 | & hAPP(v1, v2) = v3 & hAPP(v0, v4) = v5 & hAPP(v0, v_t____) = v1 &
% 298.62/67.56 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 298.62/67.56 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v6))
% 298.62/67.56 |
% 298.62/67.56 | ALPHA: (fact_norm__mult__less) implies:
% 298.62/67.56 | (8) ? [v0: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 298.62/67.56 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 298.62/67.56 | [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : !
% 298.62/67.56 | [v10: $i] : ! [v11: $i] : ( ~ (c_Groups_Otimes__class_Otimes(v5) =
% 298.62/67.56 | v6) | ~ (c_RealVector_Onorm__class_Onorm(v5, v8) = v9) | ~
% 298.62/67.56 | (hAPP(v10, v1) = v11) | ~ (hAPP(v7, v2) = v8) | ~ (hAPP(v6, v4) =
% 298.62/67.56 | v7) | ~ (hAPP(v0, v3) = v10) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3)
% 298.62/67.56 | | ~ $i(v2) | ~ $i(v1) | ~
% 298.62/67.56 | class_RealVector_Oreal__normed__algebra(v5) |
% 298.62/67.56 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9, v11) | ? [v12:
% 298.62/67.56 | $i] : ? [v13: $i] : ((c_RealVector_Onorm__class_Onorm(v5, v4) =
% 298.62/67.56 | v12 & $i(v12) & ~
% 298.62/67.56 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12, v3)) |
% 298.62/67.56 | (c_RealVector_Onorm__class_Onorm(v5, v2) = v13 & $i(v13) & ~
% 298.62/67.56 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v13, v1)))))
% 298.62/67.56 |
% 298.62/67.56 | ALPHA: (fact_norm__power) implies:
% 298.62/67.56 | (9) ? [v0: $i] : (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 &
% 298.62/67.56 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 298.62/67.56 | [v5: $i] : ! [v6: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v3, v2)
% 298.62/67.56 | = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v0, v4) = v5) | ~
% 298.62/67.56 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 298.62/67.56 | class_RealVector_Oreal__normed__div__algebra(v3) | ? [v7: $i] : ?
% 298.62/67.56 | [v8: $i] : ? [v9: $i] : (c_RealVector_Onorm__class_Onorm(v3, v9) =
% 298.62/67.56 | v6 & c_Power_Opower__class_Opower(v3) = v7 & hAPP(v8, v1) = v9 &
% 298.62/67.56 | hAPP(v7, v2) = v8 & $i(v9) & $i(v8) & $i(v7) & $i(v6))))
% 298.62/67.56 |
% 298.62/67.56 | ALPHA: (fact_norm__one) implies:
% 298.62/67.56 | (10) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 298.62/67.56 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 298.62/67.56 | (c_RealVector_Onorm__class_Onorm(v1, v2) = v3) | ~
% 298.62/67.56 | (c_Groups_Oone__class_Oone(v1) = v2) | ~ $i(v1) | ~
% 298.62/67.56 | class_RealVector_Oreal__normed__algebra__1(v1)))
% 298.62/67.56 |
% 298.62/67.56 | ALPHA: (fact_norm__mult) implies:
% 298.62/67.56 | (11) ? [v0: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 298.62/67.56 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 298.62/67.56 | [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 298.62/67.56 | (c_RealVector_Onorm__class_Onorm(v3, v2) = v4) | ~
% 298.62/67.56 | (c_RealVector_Onorm__class_Onorm(v3, v1) = v6) | ~ (hAPP(v5, v6)
% 298.62/67.56 | = v7) | ~ (hAPP(v0, v4) = v5) | ~ $i(v3) | ~ $i(v2) | ~
% 298.62/67.56 | $i(v1) | ~ class_RealVector_Oreal__normed__div__algebra(v3) | ?
% 298.62/67.56 | [v8: $i] : ? [v9: $i] : ? [v10: $i] :
% 298.62/67.56 | (c_Groups_Otimes__class_Otimes(v3) = v8 &
% 298.62/67.56 | c_RealVector_Onorm__class_Onorm(v3, v10) = v7 & hAPP(v9, v1) =
% 298.62/67.56 | v10 & hAPP(v8, v2) = v9 & $i(v10) & $i(v9) & $i(v8) & $i(v7))))
% 298.62/67.56 |
% 298.62/67.56 | ALPHA: (fact_inv0) implies:
% 298.62/67.57 | (12) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 298.62/67.57 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 298.62/67.57 | ? [v10: $i] : (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v9)
% 298.62/67.57 | = v10 & c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 298.62/67.57 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v3 &
% 298.62/67.57 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, v5) = v6 &
% 298.62/67.57 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.62/67.57 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v2 &
% 298.62/67.57 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v5 & hAPP(v8, v_m____) = v9
% 298.62/67.57 | & hAPP(v4, v6) = v7 & hAPP(v2, v3) = v4 & hAPP(v1, v7) = v8 &
% 298.62/67.57 | $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 298.62/67.57 | $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 298.62/67.57 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v10))
% 298.62/67.57 |
% 298.62/67.57 | ALPHA: (fact_norm__ge__zero) implies:
% 298.62/67.57 | (13) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.62/67.57 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 298.62/67.57 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ $i(v2) | ~
% 298.62/67.57 | $i(v1) | ~ class_RealVector_Oreal__normed__vector(v2) |
% 298.62/67.57 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3)))
% 298.62/67.57 |
% 298.62/67.57 | ALPHA: (fact_norm__zero) implies:
% 298.62/67.57 | (14) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.62/67.57 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 298.62/67.57 | (c_RealVector_Onorm__class_Onorm(v1, v2) = v3) | ~
% 298.62/67.57 | (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ $i(v1) | ~
% 298.62/67.57 | class_RealVector_Oreal__normed__vector(v1)))
% 298.62/67.57 |
% 298.62/67.57 | ALPHA: (fact_norm__eq__zero) implies:
% 298.62/67.57 | (15) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.62/67.57 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 298.62/67.57 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ $i(v2) | ~
% 298.62/67.57 | $i(v1) | ~ class_RealVector_Oreal__normed__vector(v2) | ? [v4:
% 298.62/67.57 | $i] : (( ~ (v3 = v0) | (v4 = v1 &
% 298.62/67.57 | c_Groups_Ozero__class_Ozero(v2) = v1)) & (v3 = v0 | ( ~ (v4
% 298.62/67.57 | = v1) & c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4))))))
% 298.62/67.57 |
% 298.62/67.57 | ALPHA: (fact_norm__le__zero__iff) implies:
% 298.62/67.57 | (16) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.62/67.57 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 298.62/67.57 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ $i(v2) | ~
% 298.62/67.57 | $i(v1) | ~ class_RealVector_Oreal__normed__vector(v2) | ? [v4:
% 298.62/67.57 | $i] : (( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 298.62/67.57 | v3, v0) | (v4 = v1 & c_Groups_Ozero__class_Ozero(v2) = v1))
% 298.62/67.57 | & (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0) |
% 298.62/67.57 | ( ~ (v4 = v1) & c_Groups_Ozero__class_Ozero(v2) = v4 &
% 298.62/67.57 | $i(v4))))))
% 298.62/67.57 |
% 298.62/67.57 | ALPHA: (fact_power__eq__0__iff) implies:
% 298.62/67.57 | (17) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 298.62/67.57 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 298.62/67.57 | $i] : ! [v6: $i] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) |
% 298.62/67.57 | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ $i(v3) | ~
% 298.62/67.57 | $i(v2) | ~ $i(v1) | ~ class_Rings_Ozero__neq__one(v3) | ~
% 298.62/67.57 | class_Rings_Ono__zero__divisors(v3) | ~
% 298.62/67.57 | class_Rings_Omult__zero(v3) | ~ class_Power_Opower(v3) | ? [v7:
% 298.62/67.57 | $i] : (c_Groups_Ozero__class_Ozero(v3) = v7 & $i(v7) & ( ~ (v7 =
% 298.62/67.57 | v6) | (v6 = v2 & ~ (v1 = v0))) & ( ~ (v7 = v2) | v6 = v2 |
% 298.62/67.57 | v1 = v0))))
% 298.62/67.57 |
% 298.62/67.57 | ALPHA: (fact_zero__less__norm__iff) implies:
% 298.62/67.57 | (18) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.62/67.57 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 298.62/67.57 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ $i(v2) | ~
% 298.62/67.57 | $i(v1) | ~ class_RealVector_Oreal__normed__vector(v2) | ? [v4:
% 298.62/67.57 | $i] : (( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 298.62/67.57 | v3) | ( ~ (v4 = v1) & c_Groups_Ozero__class_Ozero(v2) = v4 &
% 298.62/67.57 | $i(v4))) & (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 298.62/67.57 | v0, v3) | (v4 = v1 & c_Groups_Ozero__class_Ozero(v2) =
% 298.62/67.57 | v1)))))
% 298.62/67.57 |
% 298.62/67.57 | ALPHA: (fact_norm__not__less__zero) implies:
% 298.62/67.57 | (19) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.62/67.57 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 298.62/67.57 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ $i(v2) | ~
% 298.62/67.57 | $i(v1) | ~ class_RealVector_Oreal__normed__vector(v2) | ~
% 298.62/67.57 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0)))
% 298.62/67.57 |
% 298.62/67.57 | ALPHA: (fact_norm__mult__ineq) implies:
% 298.62/67.57 | (20) ? [v0: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 298.62/67.57 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 298.62/67.57 | [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 298.62/67.57 | (c_RealVector_Onorm__class_Onorm(v3, v2) = v4) | ~
% 298.62/67.57 | (c_RealVector_Onorm__class_Onorm(v3, v1) = v6) | ~ (hAPP(v5, v6)
% 298.62/67.57 | = v7) | ~ (hAPP(v0, v4) = v5) | ~ $i(v3) | ~ $i(v2) | ~
% 298.62/67.57 | $i(v1) | ~ class_RealVector_Oreal__normed__algebra(v3) | ? [v8:
% 298.62/67.57 | $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] :
% 298.62/67.57 | (c_Groups_Otimes__class_Otimes(v3) = v8 &
% 298.62/67.57 | c_RealVector_Onorm__class_Onorm(v3, v10) = v11 & hAPP(v9, v1) =
% 298.62/67.57 | v10 & hAPP(v8, v2) = v9 & $i(v11) & $i(v10) & $i(v9) & $i(v8) &
% 298.62/67.57 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v11, v7))))
% 298.62/67.57 |
% 298.62/67.57 | ALPHA: (fact_norm__power__ineq) implies:
% 298.62/67.57 | (21) ? [v0: $i] : (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 &
% 298.62/67.57 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 298.62/67.57 | [v5: $i] : ! [v6: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v3,
% 298.62/67.57 | v2) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v0, v4) = v5) |
% 298.62/67.57 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 298.62/67.57 | class_RealVector_Oreal__normed__algebra__1(v3) | ? [v7: $i] : ?
% 298.62/67.57 | [v8: $i] : ? [v9: $i] : ? [v10: $i] :
% 298.62/67.57 | (c_RealVector_Onorm__class_Onorm(v3, v9) = v10 &
% 298.62/67.57 | c_Power_Opower__class_Opower(v3) = v7 & hAPP(v8, v1) = v9 &
% 298.62/67.57 | hAPP(v7, v2) = v8 & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 298.62/67.57 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, v6))))
% 298.62/67.57 |
% 298.62/67.57 | ALPHA: (fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J)
% 298.62/67.57 | implies:
% 298.62/67.57 | (22) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v0) &
% 298.62/67.57 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 298.62/67.57 | (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v3, v1) = v4) |
% 298.62/67.57 | ~ $i(v2) | ~ $i(v1) | ~ class_Rings_Ocomm__semiring__1(v2) |
% 298.62/67.57 | hAPP(v4, v0) = v1))
% 298.62/67.57 |
% 298.62/67.57 | ALPHA: (fact_power__one__right) implies:
% 298.62/67.57 | (23) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v0) &
% 298.62/67.57 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 298.62/67.57 | (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v3, v1) = v4) |
% 298.62/67.57 | ~ $i(v2) | ~ $i(v1) | ~ class_Groups_Omonoid__mult(v2) |
% 298.62/67.57 | hAPP(v4, v0) = v1))
% 298.62/67.57 |
% 298.62/67.57 | ALPHA: (fact__096_B_Bthesis_O_A_I_B_Bt_O_A_091_124_A0_A_060_At_059_At_A_060_A1_059_At_A_060_Ainverse_A_Icmod_Aw_A_094_A_Ik_A_L_A1_J_A_K_Am_J_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096)
% 298.62/67.57 | implies:
% 298.62/67.57 | (24) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 298.62/67.57 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 298.62/67.57 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] :
% 298.62/67.58 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v10) = v11 &
% 298.62/67.58 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v2 &
% 298.62/67.58 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v4 &
% 298.62/67.58 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, v6) = v7 &
% 298.62/67.58 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.62/67.58 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v3 &
% 298.62/67.58 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v6 &
% 298.62/67.58 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & hAPP(v9, v_m____)
% 298.62/67.58 | = v10 & hAPP(v5, v7) = v8 & hAPP(v3, v4) = v5 & hAPP(v2, v8) = v9 &
% 298.62/67.58 | $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 298.62/67.58 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 298.62/67.58 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12, v11) &
% 298.62/67.58 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12, v1) &
% 298.62/67.58 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v12))
% 298.62/67.58 |
% 298.62/67.58 | ALPHA: (fact_Bseq__inverse__lemma) implies:
% 298.62/67.58 | (25) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.62/67.58 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 298.62/67.58 | [v5: $i] : ! [v6: $i] : ( ~ (c_Rings_Oinverse__class_Oinverse(v3,
% 298.62/67.58 | v1) = v4) | ~
% 298.62/67.58 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v2) = v6) | ~
% 298.62/67.58 | (c_RealVector_Onorm__class_Onorm(v3, v4) = v5) | ~ $i(v3) | ~
% 298.62/67.58 | $i(v2) | ~ $i(v1) | ~
% 298.62/67.58 | class_RealVector_Oreal__normed__div__algebra(v3) | ~
% 298.62/67.58 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) |
% 298.62/67.58 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v6) | ?
% 298.62/67.58 | [v7: $i] : (c_RealVector_Onorm__class_Onorm(v3, v1) = v7 & $i(v7)
% 298.62/67.58 | & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2,
% 298.62/67.58 | v7))))
% 298.62/67.58 |
% 298.62/67.58 | ALPHA: (fact_norm__ratiotest__lemma) implies:
% 298.62/67.58 | (26) ? [v0: $i] : ? [v1: $i] :
% 298.62/67.58 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 298.62/67.58 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 298.62/67.58 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 298.62/67.58 | $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~
% 298.62/67.58 | (c_RealVector_Onorm__class_Onorm(v5, v3) = v6) | ~
% 298.62/67.58 | (c_RealVector_Onorm__class_Onorm(v5, v2) = v8) | ~ (hAPP(v7, v8)
% 298.62/67.58 | = v9) | ~ (hAPP(v1, v4) = v7) | ~ $i(v5) | ~ $i(v4) | ~
% 298.62/67.58 | $i(v3) | ~ $i(v2) | ~ class_RealVector_Oreal__normed__vector(v5)
% 298.62/67.58 | | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v9) |
% 298.62/67.58 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v0) |
% 298.62/67.58 | c_Groups_Ozero__class_Ozero(v5) = v3))
% 298.62/67.58 |
% 298.62/67.58 | ALPHA: (fact__096_B_Bd2_O_A0_A_060_Ad2_A_061_061_062_AEX_Ae_0620_O_Ae_A_060_A1_A_G_Ae_A_060_Ad2_096)
% 298.62/67.58 | implies:
% 298.62/67.58 | (27) ? [v0: $i] : ? [v1: $i] :
% 298.62/67.58 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.62/67.58 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0) &
% 298.62/67.58 | ! [v2: $i] : ( ~ $i(v2) | ~
% 298.62/67.58 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) | ? [v3:
% 298.62/67.58 | $i] : ($i(v3) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 298.62/67.58 | v3, v2) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3,
% 298.62/67.58 | v1) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 298.62/67.58 | v3))))
% 298.62/67.58 |
% 298.62/67.58 | ALPHA: (fact_real__mult__inverse__left) implies:
% 298.62/67.58 | (28) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 298.62/67.58 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 298.62/67.58 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.62/67.58 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v2 & $i(v2) & $i(v1) &
% 298.62/67.58 | $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v6
% 298.62/67.58 | = v2 | v3 = v0 | ~
% 298.62/67.58 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v3) = v4) | ~
% 298.62/67.58 | (hAPP(v5, v3) = v6) | ~ (hAPP(v1, v4) = v5) | ~ $i(v3)))
% 298.62/67.58 |
% 298.62/67.58 | ALPHA: (fact_w) implies:
% 298.62/67.58 | (29) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 298.62/67.58 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 298.62/67.58 | (c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v1 &
% 298.62/67.58 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v0, v6) = v7 &
% 298.62/67.58 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v7 &
% 298.62/67.58 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v2 &
% 298.62/67.58 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 & hAPP(v5,
% 298.62/67.58 | v_a____) = v6 & hAPP(v3, v_k____) = v4 & hAPP(v2, v_w____) = v3 &
% 298.62/67.58 | hAPP(v1, v4) = v5 & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 298.62/67.58 | $i(v2) & $i(v1) & $i(v0))
% 298.62/67.58 |
% 298.62/67.58 | ALPHA: (fact_real__mult__commute) implies:
% 298.62/67.58 | (30) ? [v0: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 298.62/67.58 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 298.62/67.58 | (hAPP(v3, v2) = v4) | ~ (hAPP(v0, v1) = v3) | ~ $i(v2) | ~
% 298.62/67.58 | $i(v1) | ? [v5: $i] : (hAPP(v5, v1) = v4 & hAPP(v0, v2) = v5 &
% 298.62/67.58 | $i(v5) & $i(v4))))
% 298.62/67.58 |
% 298.62/67.58 | ALPHA: (fact_real__mult__assoc) implies:
% 298.62/67.58 | (31) ? [v0: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 298.62/67.58 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 298.62/67.58 | [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~ (hAPP(v6, v1) = v7) | ~
% 298.62/67.58 | (hAPP(v4, v2) = v5) | ~ (hAPP(v0, v5) = v6) | ~ (hAPP(v0, v3) =
% 298.62/67.58 | v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v8: $i] : ? [v9:
% 298.62/67.58 | $i] : (hAPP(v8, v1) = v9 & hAPP(v4, v9) = v7 & hAPP(v0, v2) = v8
% 298.62/67.58 | & $i(v9) & $i(v8) & $i(v7))))
% 298.62/67.58 |
% 298.62/67.58 | ALPHA: (fact_nat__mult__1) implies:
% 298.62/67.58 | (32) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 298.62/67.58 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 298.62/67.58 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & hAPP(v0, v1) = v2 &
% 298.62/67.58 | $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : (v4 = v3 | ~
% 298.62/67.58 | (hAPP(v2, v3) = v4) | ~ $i(v3)))
% 298.62/67.58 |
% 298.62/67.58 | ALPHA: (fact_nat__1__eq__mult__iff) implies:
% 298.62/67.58 | (33) ? [v0: $i] : ? [v1: $i] :
% 298.62/67.58 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v1 &
% 298.62/67.58 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v1) & $i(v0) & !
% 298.62/67.58 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v3 = v0 | ~ (hAPP(v4, v2) =
% 298.62/67.58 | v0) | ~ (hAPP(v1, v3) = v4) | ~ $i(v3) | ~ $i(v2)) & ! [v2:
% 298.62/67.58 | $i] : ! [v3: $i] : ! [v4: $i] : (v2 = v0 | ~ (hAPP(v4, v2) =
% 298.62/67.58 | v0) | ~ (hAPP(v1, v3) = v4) | ~ $i(v3) | ~ $i(v2)) & ! [v2:
% 298.62/67.58 | $i] : ! [v3: $i] : (v3 = v0 | ~ (hAPP(v2, v0) = v3) | ~
% 298.62/67.58 | (hAPP(v1, v0) = v2)))
% 298.62/67.58 |
% 298.62/67.58 | ALPHA: (fact_nat__mult__1__right) implies:
% 298.62/67.58 | (34) ? [v0: $i] : ? [v1: $i] :
% 298.62/67.58 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 298.62/67.58 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v1) & $i(v0) & !
% 298.62/67.58 | [v2: $i] : ! [v3: $i] : ( ~ (hAPP(v0, v2) = v3) | ~ $i(v2) |
% 298.62/67.58 | hAPP(v3, v1) = v2))
% 298.62/67.58 |
% 298.62/67.58 | ALPHA: (fact_nat__mult__eq__1__iff) implies:
% 298.62/67.58 | (35) ? [v0: $i] : ? [v1: $i] :
% 298.62/67.58 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 298.62/67.58 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v1) & $i(v0) & !
% 298.62/67.58 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v3 = v1 | ~ (hAPP(v4, v2) =
% 298.62/67.58 | v1) | ~ (hAPP(v0, v3) = v4) | ~ $i(v3) | ~ $i(v2)) & ! [v2:
% 298.62/67.58 | $i] : ! [v3: $i] : ! [v4: $i] : (v2 = v1 | ~ (hAPP(v4, v2) =
% 298.62/67.58 | v1) | ~ (hAPP(v0, v3) = v4) | ~ $i(v3) | ~ $i(v2)) & ! [v2:
% 298.62/67.58 | $i] : ! [v3: $i] : (v3 = v1 | ~ (hAPP(v2, v1) = v3) | ~
% 298.62/67.58 | (hAPP(v0, v1) = v2)))
% 298.62/67.58 |
% 298.62/67.58 | ALPHA: (fact_real__mult__right__cancel) implies:
% 298.62/67.58 | (36) ? [v0: $i] : ? [v1: $i] :
% 298.62/67.58 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 298.62/67.58 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 298.62/67.58 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 298.62/67.58 | $i] : ! [v7: $i] : (v4 = v0 | v3 = v2 | ~ (hAPP(v7, v4) = v6) |
% 298.62/67.58 | ~ (hAPP(v5, v4) = v6) | ~ (hAPP(v1, v3) = v5) | ~ (hAPP(v1, v2)
% 298.62/67.58 | = v7) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2)))
% 298.62/67.58 |
% 298.62/67.58 | ALPHA: (fact_real__mult__left__cancel) implies:
% 298.62/67.58 | (37) ? [v0: $i] : ? [v1: $i] :
% 298.62/67.58 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 298.62/67.58 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 298.62/67.58 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 298.62/67.58 | $i] : (v4 = v0 | v3 = v2 | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5,
% 298.62/67.58 | v2) = v6) | ~ (hAPP(v1, v4) = v5) | ~ $i(v4) | ~ $i(v3) |
% 298.62/67.58 | ~ $i(v2)))
% 298.62/67.58 |
% 298.62/67.58 | ALPHA: (fact_mult__eq__self__implies__10) implies:
% 298.62/67.58 | (38) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 298.62/67.58 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 298.62/67.58 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v2 &
% 298.62/67.58 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v2) & $i(v1) &
% 298.62/67.58 | $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v4 = v2 | v3 =
% 298.62/67.58 | v1 | ~ (hAPP(v5, v3) = v4) | ~ (hAPP(v0, v4) = v5) | ~ $i(v4) |
% 298.62/67.58 | ~ $i(v3)))
% 298.62/67.58 |
% 298.62/67.58 | ALPHA: (fact_real__zero__not__eq__one) implies:
% 298.62/67.58 | (39) ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) &
% 298.62/67.58 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.62/67.58 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0))
% 298.62/67.58 |
% 298.62/67.58 | ALPHA: (fact_real__mult__1) implies:
% 298.62/67.58 | (40) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 298.62/67.58 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 298.62/67.58 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & hAPP(v0, v1) = v2
% 298.62/67.58 | & $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : (v4 = v3 |
% 298.62/67.58 | ~ (hAPP(v2, v3) = v4) | ~ $i(v3)))
% 298.62/67.58 |
% 298.62/67.58 | ALPHA: (fact_real__add__mult__distrib) implies:
% 298.62/67.58 | (41) ? [v0: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 298.62/67.58 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 298.62/67.58 | [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~
% 298.62/67.58 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v7) = v8) | ~
% 298.62/67.58 | (hAPP(v6, v1) = v7) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v0, v3) =
% 298.62/67.58 | v4) | ~ (hAPP(v0, v2) = v6) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1)
% 298.62/67.58 | | ? [v9: $i] : ? [v10: $i] :
% 298.62/67.58 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v2) = v9 &
% 298.62/67.58 | hAPP(v10, v1) = v8 & hAPP(v0, v9) = v10 & $i(v10) & $i(v9) &
% 298.62/67.58 | $i(v8))))
% 298.62/67.58 |
% 298.62/67.58 | ALPHA: (fact_INVERSE__ZERO) implies:
% 298.62/67.58 | (42) ? [v0: $i] : (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v0)
% 298.62/67.58 | = v0 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0))
% 298.62/67.58 |
% 298.62/67.58 | ALPHA: (fact_real__mult__less__iff1) implies:
% 298.62/67.58 | (43) ? [v0: $i] : ? [v1: $i] :
% 298.62/67.58 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 298.62/67.58 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 298.62/67.58 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 298.62/67.58 | $i] : ! [v7: $i] : ! [v8: $i] : ( ~ (hAPP(v7, v4) = v8) | ~
% 298.62/67.58 | (hAPP(v5, v4) = v6) | ~ (hAPP(v1, v3) = v5) | ~ (hAPP(v1, v2) =
% 298.62/67.58 | v7) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 298.62/67.58 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v8) | ~
% 298.62/67.58 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 298.62/67.58 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v2)) & ! [v2:
% 298.62/67.58 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 298.62/67.58 | [v7: $i] : ! [v8: $i] : ( ~ (hAPP(v7, v4) = v8) | ~ (hAPP(v5, v4)
% 298.62/67.58 | = v6) | ~ (hAPP(v1, v3) = v5) | ~ (hAPP(v1, v2) = v7) | ~
% 298.62/67.58 | $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 298.62/67.58 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v2) | ~
% 298.62/67.58 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 298.62/67.58 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v8)))
% 298.62/67.58 |
% 298.62/67.58 | ALPHA: (fact_real__mult__order) implies:
% 298.62/67.58 | (44) ? [v0: $i] : ? [v1: $i] :
% 298.62/67.58 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 298.62/67.58 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 298.62/67.58 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 298.62/67.58 | (hAPP(v4, v2) = v5) | ~ (hAPP(v1, v3) = v4) | ~ $i(v3) | ~
% 298.62/67.58 | $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 298.62/67.58 | v3) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2)
% 298.62/67.58 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v5)))
% 298.62/67.58 |
% 298.62/67.58 | ALPHA: (fact_real__mult__less__mono2) implies:
% 298.62/67.58 | (45) ? [v0: $i] : ? [v1: $i] :
% 298.62/67.58 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 298.62/67.58 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 298.62/67.58 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 298.62/67.58 | $i] : ! [v7: $i] : ( ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) =
% 298.62/67.58 | v7) | ~ (hAPP(v1, v4) = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2)
% 298.62/67.58 | | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v2) | ~
% 298.62/67.58 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 298.62/67.58 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v7)))
% 298.62/67.58 |
% 298.62/67.58 | ALPHA: (fact_real__two__squares__add__zero__iff) implies:
% 298.62/67.58 | (46) ? [v0: $i] : ? [v1: $i] :
% 298.62/67.58 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 298.62/67.58 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0)
% 298.62/67.58 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 298.62/67.58 | $i] : ! [v7: $i] : (v3 = v1 | ~
% 298.62/67.58 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v7) = v1) | ~
% 298.62/67.58 | (hAPP(v6, v2) = v7) | ~ (hAPP(v4, v3) = v5) | ~ (hAPP(v0, v3) =
% 298.62/67.58 | v4) | ~ (hAPP(v0, v2) = v6) | ~ $i(v3) | ~ $i(v2)) & ! [v2:
% 298.62/67.58 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 298.62/67.58 | [v7: $i] : (v2 = v1 | ~
% 298.62/67.58 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v7) = v1) | ~
% 298.62/67.58 | (hAPP(v6, v2) = v7) | ~ (hAPP(v4, v3) = v5) | ~ (hAPP(v0, v3) =
% 298.62/67.58 | v4) | ~ (hAPP(v0, v2) = v6) | ~ $i(v3) | ~ $i(v2)) & ! [v2:
% 298.62/67.58 | $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v1 | ~
% 298.62/67.58 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v3) = v4) | ~
% 298.62/67.58 | (hAPP(v2, v1) = v3) | ~ (hAPP(v0, v1) = v2)))
% 298.62/67.58 |
% 298.62/67.58 | ALPHA: (fact_real__mult__le__cancel__iff1) implies:
% 298.62/67.59 | (47) ? [v0: $i] : ? [v1: $i] :
% 298.62/67.59 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 298.62/67.59 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 298.62/67.59 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 298.62/67.59 | $i] : ! [v7: $i] : ! [v8: $i] : ( ~ (hAPP(v7, v4) = v8) | ~
% 298.62/67.59 | (hAPP(v5, v4) = v6) | ~ (hAPP(v1, v3) = v5) | ~ (hAPP(v1, v2) =
% 298.62/67.59 | v7) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 298.62/67.59 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v8) | ~
% 298.62/67.59 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 298.62/67.59 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v2)) & !
% 298.62/67.59 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] :
% 298.62/67.59 | ! [v7: $i] : ! [v8: $i] : ( ~ (hAPP(v7, v4) = v8) | ~ (hAPP(v5,
% 298.62/67.59 | v4) = v6) | ~ (hAPP(v1, v3) = v5) | ~ (hAPP(v1, v2) = v7) |
% 298.62/67.59 | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 298.62/67.59 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v2) | ~
% 298.62/67.59 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 298.62/67.59 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v8)))
% 298.62/67.59 |
% 298.62/67.59 | ALPHA: (fact_real__mult__le__cancel__iff2) implies:
% 298.62/67.59 | (48) ? [v0: $i] : ? [v1: $i] :
% 298.62/67.59 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 298.62/67.59 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 298.62/67.59 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 298.62/67.59 | $i] : ! [v7: $i] : ( ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) =
% 298.62/67.59 | v7) | ~ (hAPP(v1, v4) = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2)
% 298.62/67.59 | | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v7) |
% 298.62/67.59 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 298.62/67.59 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v2)) & !
% 298.62/67.59 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] :
% 298.62/67.59 | ! [v7: $i] : ( ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v7) | ~
% 298.62/67.59 | (hAPP(v1, v4) = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 298.62/67.59 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v2) | ~
% 298.62/67.59 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 298.62/67.59 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v7)))
% 298.62/67.59 |
% 298.62/67.59 | ALPHA: (fact_real__mult__inverse__cancel2) implies:
% 298.62/67.59 | (49) ? [v0: $i] : ? [v1: $i] :
% 298.62/67.59 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 298.62/67.59 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 298.62/67.59 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 298.62/67.59 | $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : !
% 298.62/67.59 | [v11: $i] : ( ~ (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,
% 298.62/67.59 | v5) = v7) | ~
% 298.62/67.59 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v4) = v10) |
% 298.62/67.59 | ~ (hAPP(v9, v10) = v11) | ~ (hAPP(v6, v7) = v8) | ~ (hAPP(v1,
% 298.62/67.59 | v3) = v6) | ~ (hAPP(v1, v2) = v9) | ~ $i(v5) | ~ $i(v4) |
% 298.62/67.59 | ~ $i(v3) | ~ $i(v2) | ~
% 298.62/67.59 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v5) | ~
% 298.62/67.59 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 298.62/67.59 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v11) | ?
% 298.62/67.59 | [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] :
% 298.62/67.59 | (hAPP(v14, v2) = v15 & hAPP(v12, v3) = v13 & hAPP(v1, v5) = v14 &
% 298.62/67.59 | hAPP(v1, v4) = v12 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & ~
% 298.62/67.59 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v13, v15))))
% 298.62/67.59 |
% 298.62/67.59 | ALPHA: (fact_real__mult__inverse__cancel) implies:
% 298.62/67.59 | (50) ? [v0: $i] : ? [v1: $i] :
% 298.62/67.59 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 298.62/67.59 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 298.62/67.59 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 298.62/67.59 | $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : !
% 298.62/67.59 | [v11: $i] : ( ~ (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,
% 298.62/67.59 | v5) = v6) | ~
% 298.62/67.59 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v4) = v9) | ~
% 298.62/67.59 | (hAPP(v10, v2) = v11) | ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v1, v9)
% 298.62/67.59 | = v10) | ~ (hAPP(v1, v6) = v7) | ~ $i(v5) | ~ $i(v4) | ~
% 298.62/67.59 | $i(v3) | ~ $i(v2) | ~
% 298.62/67.59 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v5) | ~
% 298.62/67.59 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 298.62/67.59 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v11) | ?
% 298.62/67.59 | [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] :
% 298.62/67.59 | (hAPP(v14, v2) = v15 & hAPP(v12, v3) = v13 & hAPP(v1, v5) = v14 &
% 298.62/67.59 | hAPP(v1, v4) = v12 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & ~
% 298.62/67.59 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v13, v15))))
% 298.62/67.59 |
% 298.62/67.59 | ALPHA: (fact__096_B_Bthesis_O_A_I_B_Bw_O_A1_A_L_Aw_A_094_Ak_A_K_Aa_A_061_A0_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096)
% 298.62/67.59 | implies:
% 298.62/67.59 | (51) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 298.62/67.59 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 298.62/67.59 | (c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v1 &
% 298.62/67.59 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v0, v8) = v3 &
% 298.62/67.59 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v3 &
% 298.62/67.59 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v2 &
% 298.62/67.59 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 & hAPP(v7,
% 298.62/67.59 | v_a____) = v8 & hAPP(v5, v_k____) = v6 & hAPP(v2, v4) = v5 &
% 298.62/67.59 | hAPP(v1, v6) = v7 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 298.62/67.59 | $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 298.62/67.59 |
% 298.62/67.59 | ALPHA: (fact__0961_A_L_Aw_A_094_Ak_A_K_Aa_A_N_A1_A_061_A0_A_N_A1_096) implies:
% 298.62/67.59 | (52) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 298.62/67.59 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 298.62/67.59 | (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v9, v0) = v8 &
% 298.62/67.59 | c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v7, v0) = v8 &
% 298.62/67.59 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v1 &
% 298.62/67.59 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v0, v6) = v7 &
% 298.62/67.59 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v9 &
% 298.62/67.59 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v2 &
% 298.62/67.59 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 & hAPP(v5,
% 298.62/67.59 | v_a____) = v6 & hAPP(v3, v_k____) = v4 & hAPP(v2, v_w____) = v3 &
% 298.62/67.59 | hAPP(v1, v4) = v5 & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) &
% 298.62/67.59 | $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 298.62/67.59 |
% 298.62/67.59 | ALPHA: (fact_wm1) implies:
% 298.62/67.59 | (53) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 298.62/67.59 | ? [v5: $i] : ? [v6: $i] :
% 298.62/67.59 | (c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v6) = v5 &
% 298.62/67.59 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v0 &
% 298.62/67.59 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v1 &
% 298.62/67.59 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v6 & hAPP(v4,
% 298.62/67.59 | v_a____) = v5 & hAPP(v2, v_k____) = v3 & hAPP(v1, v_w____) = v2 &
% 298.62/67.59 | hAPP(v0, v3) = v4 & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 298.62/67.59 | $i(v1) & $i(v0))
% 298.62/67.59 |
% 298.62/67.59 | ALPHA: (fact_tw) implies:
% 298.62/67.59 | (54) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 298.62/67.59 | ? [v5: $i] : (c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) =
% 298.62/67.59 | v1 & c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v0 &
% 298.62/67.59 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 &
% 298.62/67.59 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v5 &
% 298.62/67.59 | hAPP(v2, v_w____) = v3 & hAPP(v0, v1) = v2 & $i(v5) & $i(v4) &
% 298.62/67.59 | $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 298.62/67.59 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v5))
% 298.62/67.59 |
% 298.62/67.59 | ALPHA: (fact_reduce__poly__simple) implies:
% 298.62/67.59 | (55) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 298.62/67.59 | ? [v5: $i] : (c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v3
% 298.62/67.59 | & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 &
% 298.62/67.59 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0 &
% 298.62/67.59 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v4 &
% 298.62/67.59 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v2 &
% 298.62/67.59 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v5 & $i(v5) & $i(v4) &
% 298.62/67.59 | $i(v3) & $i(v2) & $i(v1) & $i(v0) & ? [v6: $i] : ! [v7: $i] : !
% 298.62/67.59 | [v8: $i] : (v7 = v0 | v6 = v1 | ~ (hAPP(v3, v7) = v8) | ~ $i(v7) |
% 298.62/67.59 | ~ $i(v6) | ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12:
% 298.62/67.59 | $i] : ? [v13: $i] : ? [v14: $i] :
% 298.62/67.59 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v13) = v14 &
% 298.62/67.59 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v2, v12) = v13
% 298.62/67.59 | & hAPP(v10, v6) = v11 & hAPP(v8, v11) = v12 & hAPP(v4, v9) = v10
% 298.62/67.59 | & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 298.62/67.59 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v14, v5))))
% 298.62/67.59 |
% 298.62/67.59 | ALPHA: (fact_of__real__eq__0__iff) implies:
% 298.62/67.59 | (56) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.62/67.59 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 298.62/67.59 | (c_RealVector_Oof__real(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 298.62/67.59 | class_RealVector_Oreal__algebra__1(v2) | ? [v4: $i] : (( ~ (v1 =
% 298.62/67.59 | v0) | (v4 = v3 & c_Groups_Ozero__class_Ozero(v2) = v3 &
% 298.62/67.59 | $i(v3))) & (v1 = v0 | ( ~ (v4 = v3) &
% 298.62/67.59 | c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4))))))
% 298.62/67.59 |
% 298.62/67.59 | ALPHA: (fact_of__real_Ozero) implies:
% 298.62/67.59 | (57) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.62/67.59 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (c_RealVector_Oof__real(v1,
% 298.62/67.59 | v0) = v2) | ~ $i(v1) | ~
% 298.62/67.59 | class_RealVector_Oreal__algebra__1(v1) | ~
% 298.62/67.59 | class_RealVector_Oreal__normed__vector(v1) |
% 298.62/67.59 | (c_Groups_Ozero__class_Ozero(v1) = v2 & $i(v2))))
% 298.62/67.59 |
% 298.62/67.59 | ALPHA: (fact_of__real__0) implies:
% 298.62/67.59 | (58) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.62/67.59 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (c_RealVector_Oof__real(v1,
% 298.62/67.59 | v0) = v2) | ~ $i(v1) | ~
% 298.62/67.59 | class_RealVector_Oreal__algebra__1(v1) |
% 298.62/67.59 | (c_Groups_Ozero__class_Ozero(v1) = v2 & $i(v2))))
% 298.62/67.59 |
% 298.62/67.59 | ALPHA: (fact_of__real__mult) implies:
% 298.62/67.59 | (59) ? [v0: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 298.62/67.59 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 298.62/67.59 | [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~
% 298.62/67.59 | (c_RealVector_Oof__real(v3, v2) = v5) | ~
% 298.62/67.59 | (c_RealVector_Oof__real(v3, v1) = v7) | ~
% 298.62/67.59 | (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v6, v7) = v8)
% 298.62/67.59 | | ~ (hAPP(v4, v5) = v6) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 298.62/67.59 | class_RealVector_Oreal__algebra__1(v3) | ? [v9: $i] : ? [v10:
% 298.62/67.59 | $i] : (c_RealVector_Oof__real(v3, v10) = v8 & hAPP(v9, v1) = v10
% 298.62/67.59 | & hAPP(v0, v2) = v9 & $i(v10) & $i(v9) & $i(v8))))
% 298.62/67.59 |
% 298.62/67.59 | ALPHA: (fact_of__real__1) implies:
% 298.62/67.59 | (60) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 298.62/67.59 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (c_RealVector_Oof__real(v1,
% 298.62/67.59 | v0) = v2) | ~ $i(v1) | ~
% 298.62/67.59 | class_RealVector_Oreal__algebra__1(v1) |
% 298.62/67.59 | (c_Groups_Oone__class_Oone(v1) = v2 & $i(v2))))
% 298.62/67.59 |
% 298.62/67.59 | ALPHA: (fact_of__real__power) implies:
% 298.62/67.59 | (61) ? [v0: $i] : (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 &
% 298.62/67.59 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 298.62/67.59 | [v5: $i] : ! [v6: $i] : ( ~ (c_RealVector_Oof__real(v3, v5) = v6) |
% 298.62/67.59 | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v0, v2) = v4) | ~ $i(v3) | ~
% 298.62/67.59 | $i(v2) | ~ $i(v1) | ~ class_RealVector_Oreal__algebra__1(v3) |
% 298.62/67.59 | ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 298.62/67.59 | (c_RealVector_Oof__real(v3, v2) = v8 &
% 298.62/67.59 | c_Power_Opower__class_Opower(v3) = v7 & hAPP(v9, v1) = v6 &
% 298.62/67.59 | hAPP(v7, v8) = v9 & $i(v9) & $i(v8) & $i(v7) & $i(v6))))
% 298.62/67.59 |
% 298.62/67.59 | ALPHA: (fact_complex__of__real__power) implies:
% 298.62/67.59 | (62) ? [v0: $i] : ? [v1: $i] :
% 298.62/67.59 | (c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v0 &
% 298.62/67.59 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v1 & $i(v1) &
% 298.62/67.59 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 298.62/67.59 | [v6: $i] : ( ~ (c_RealVector_Oof__real(tc_Complex_Ocomplex, v3) =
% 298.62/67.59 | v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v0, v4) = v5) | ~
% 298.62/67.59 | $i(v3) | ~ $i(v2) | ? [v7: $i] : ? [v8: $i] :
% 298.62/67.59 | (c_RealVector_Oof__real(tc_Complex_Ocomplex, v8) = v6 & hAPP(v7,
% 298.62/67.59 | v2) = v8 & hAPP(v1, v3) = v7 & $i(v8) & $i(v7) & $i(v6))))
% 298.62/67.59 |
% 298.62/67.59 | ALPHA: (fact_nonzero__of__real__inverse) implies:
% 298.62/67.59 | (63) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.62/67.59 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1
% 298.62/67.59 | = v0 | ~ (c_RealVector_Oof__real(v2, v3) = v4) | ~
% 298.62/67.59 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v1) = v3) | ~
% 298.62/67.59 | $i(v2) | ~ $i(v1) | ~ class_RealVector_Oreal__div__algebra(v2) |
% 298.62/67.59 | ? [v5: $i] : (c_RealVector_Oof__real(v2, v1) = v5 &
% 298.62/67.59 | c_Rings_Oinverse__class_Oinverse(v2, v5) = v4 & $i(v5) &
% 298.62/67.59 | $i(v4))))
% 298.62/67.59 |
% 298.62/67.59 | ALPHA: (fact_not__real__square__gt__zero) implies:
% 298.62/67.59 | (64) ? [v0: $i] : ? [v1: $i] :
% 298.62/67.59 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 298.62/67.59 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 298.62/67.59 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v2 = v0 | ~ (hAPP(v3,
% 298.62/67.59 | v2) = v4) | ~ (hAPP(v1, v2) = v3) | ~ $i(v2) |
% 298.62/67.59 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4)) & ! [v2:
% 298.62/67.59 | $i] : ! [v3: $i] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(v1, v0) =
% 298.62/67.59 | v2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 298.62/67.59 | v3)))
% 298.62/67.59 |
% 298.62/67.59 | ALPHA: (fact_unimodular__reduce__norm) implies:
% 298.62/67.59 | (65) ? [v0: $i] : ? [v1: $i] :
% 298.62/67.59 | (c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v1 &
% 298.62/67.59 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) &
% 298.62/67.59 | ! [v2: $i] : ! [v3: $i] : ( ~
% 298.62/67.59 | (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v2, v1) = v3)
% 298.62/67.59 | | ~ $i(v2) | ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7:
% 298.62/67.59 | $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] :
% 298.62/67.59 | (( ~ (v4 = v0) &
% 298.62/67.59 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v4
% 298.62/67.59 | & $i(v4)) |
% 298.62/67.59 | (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v2,
% 298.62/67.59 | c_Complex_Oii) = v10 &
% 298.62/67.59 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v10) =
% 298.62/67.59 | v11 & $i(v11) & $i(v10) &
% 298.62/67.59 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11, v0)) |
% 298.62/67.59 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v8) = v9 &
% 298.62/67.59 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v2,
% 298.62/67.59 | c_Complex_Oii) = v8 & $i(v9) & $i(v8) &
% 298.62/67.59 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9, v0)) |
% 298.62/67.59 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v6 &
% 298.62/67.59 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v2, v1) = v5
% 298.62/67.59 | & $i(v6) & $i(v5) &
% 298.62/67.59 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v0)) |
% 298.62/67.59 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v7 &
% 298.62/67.59 | $i(v7) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7,
% 298.62/67.59 | v0)))))
% 298.62/67.59 |
% 298.62/67.59 | ALPHA: (fact_complex__i__mult__minus) implies:
% 298.62/67.59 | (66) ? [v0: $i] : ? [v1: $i] :
% 298.62/67.59 | (c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v0 & hAPP(v0,
% 298.62/67.59 | c_Complex_Oii) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i]
% 298.62/67.59 | : ( ~ (hAPP(v1, v2) = v3) | ~ $i(v2) | ? [v4: $i] :
% 298.62/67.59 | (c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v2) = v4 &
% 298.62/67.59 | hAPP(v1, v3) = v4 & $i(v4))))
% 298.62/67.59 |
% 298.62/67.59 | ALPHA: (fact_real__le__eq__diff) implies:
% 298.62/67.59 | (67) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.62/67.59 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 298.62/67.59 | (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v2, v1) = v3) |
% 298.62/67.59 | ~ $i(v2) | ~ $i(v1) | ~
% 298.62/67.59 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0) |
% 298.62/67.59 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1)) & !
% 298.62/67.59 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 298.62/67.59 | (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v2, v1) = v3) |
% 298.62/67.59 | ~ $i(v2) | ~ $i(v1) | ~
% 298.62/67.59 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1) |
% 298.62/67.59 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0)))
% 298.62/67.59 |
% 298.62/67.59 | ALPHA: (fact_real__minus__mult__self__le) implies:
% 298.62/67.59 | (68) ? [v0: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 298.62/67.59 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 298.62/67.59 | [v5: $i] : ! [v6: $i] : ( ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v2)
% 298.62/67.59 | = v4) | ~ (hAPP(v0, v2) = v3) | ~ (hAPP(v0, v1) = v5) | ~
% 298.62/67.59 | $i(v2) | ~ $i(v1) | ? [v7: $i] :
% 298.62/67.59 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v4) = v7 &
% 298.62/67.59 | $i(v7) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v7,
% 298.62/67.59 | v6))))
% 298.62/67.59 |
% 298.62/67.59 | ALPHA: (fact_real__add__eq__0__iff) implies:
% 298.62/67.59 | (69) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.62/67.59 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 298.62/67.59 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 298.62/67.59 | $i(v2) | ~ $i(v1) | ? [v4: $i] : ( ~ (v4 = v1) &
% 298.62/67.59 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v4 &
% 298.62/67.59 | $i(v4))) & ! [v1: $i] : ! [v2: $i] : ( ~
% 298.62/67.59 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v0) | ~
% 298.62/67.59 | $i(v2) | ~ $i(v1) |
% 298.62/67.59 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v1))
% 298.62/67.59 |
% 298.62/67.59 | ALPHA: (fact_real__add__minus__iff) implies:
% 298.62/67.60 | (70) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.62/67.60 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 298.62/67.60 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2) | ~
% 298.62/67.60 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v2) = v3) | ~
% 298.62/67.60 | $i(v1)) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v2 = v1 | ~
% 298.62/67.60 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v3) | ~
% 298.62/67.60 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v3) = v0) | ~
% 298.62/67.60 | $i(v2) | ~ $i(v1)))
% 298.62/67.60 |
% 298.62/67.60 | ALPHA: (fact_real__0__le__add__iff) implies:
% 298.62/67.60 | (71) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.62/67.60 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 298.62/67.60 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 298.62/67.60 | $i(v2) | ~ $i(v1) | ~
% 298.62/67.60 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) | ?
% 298.62/67.60 | [v4: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2)
% 298.62/67.60 | = v4 & $i(v4) &
% 298.62/67.60 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v1))) &
% 298.62/67.60 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 298.62/67.60 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 298.62/67.60 | $i(v2) | ~ $i(v1) |
% 298.62/67.60 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) | ?
% 298.62/67.60 | [v4: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2)
% 298.62/67.60 | = v4 & $i(v4) & ~
% 298.62/67.60 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v1))))
% 298.62/67.60 |
% 298.62/67.60 | ALPHA: (fact_real__add__le__0__iff) implies:
% 298.62/67.60 | (72) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.62/67.60 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 298.62/67.60 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 298.62/67.60 | $i(v2) | ~ $i(v1) | ~
% 298.62/67.60 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0) | ?
% 298.62/67.60 | [v4: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2)
% 298.62/67.60 | = v4 & $i(v4) &
% 298.62/67.60 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v4))) &
% 298.62/67.60 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 298.62/67.60 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 298.62/67.60 | $i(v2) | ~ $i(v1) |
% 298.62/67.60 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0) | ?
% 298.62/67.60 | [v4: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2)
% 298.62/67.60 | = v4 & $i(v4) & ~
% 298.62/67.60 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v4))))
% 298.62/67.60 |
% 298.62/67.60 | ALPHA: (fact_real__0__less__add__iff) implies:
% 298.62/67.60 | (73) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.62/67.60 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 298.62/67.60 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 298.62/67.60 | $i(v2) | ~ $i(v1) | ~
% 298.62/67.60 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) | ? [v4:
% 298.62/67.60 | $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) =
% 298.62/67.60 | v4 & $i(v4) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 298.62/67.60 | v4, v1))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 298.62/67.60 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 298.62/67.60 | $i(v2) | ~ $i(v1) |
% 298.62/67.60 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) | ? [v4:
% 298.62/67.60 | $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) =
% 298.62/67.60 | v4 & $i(v4) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 298.62/67.60 | v4, v1))))
% 298.62/67.60 |
% 298.62/67.60 | ALPHA: (fact_real__add__less__0__iff) implies:
% 298.62/67.60 | (74) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.62/67.60 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 298.62/67.60 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 298.62/67.60 | $i(v2) | ~ $i(v1) | ~
% 298.62/67.60 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0) | ? [v4:
% 298.62/67.60 | $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) =
% 298.62/67.60 | v4 & $i(v4) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 298.62/67.60 | v1, v4))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 298.62/67.60 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 298.62/67.60 | $i(v2) | ~ $i(v1) |
% 298.62/67.60 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0) | ? [v4:
% 298.62/67.60 | $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) =
% 298.62/67.60 | v4 & $i(v4) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 298.62/67.60 | v1, v4))))
% 298.62/67.60 |
% 298.62/67.60 | ALPHA: (fact_i__mult__eq2) implies:
% 298.62/67.60 | (75) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 298.62/67.60 | (c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v3) = v2 &
% 298.62/67.60 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v0 &
% 298.62/67.60 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v3 & hAPP(v1,
% 298.62/67.60 | c_Complex_Oii) = v2 & hAPP(v0, c_Complex_Oii) = v1 & $i(v3) &
% 298.62/67.60 | $i(v2) & $i(v1) & $i(v0))
% 298.62/67.60 |
% 298.62/67.60 | ALPHA: (fact_complex__of__real__minus__one) implies:
% 298.62/67.60 | (76) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 298.62/67.60 | (c_RealVector_Oof__real(tc_Complex_Ocomplex, v1) = v2 &
% 298.62/67.60 | c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v3) = v2 &
% 298.62/67.60 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v0) = v1 &
% 298.62/67.60 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v3 &
% 298.62/67.60 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v3) & $i(v2) &
% 298.62/67.60 | $i(v1) & $i(v0))
% 298.62/67.60 |
% 298.62/67.60 | ALPHA: (fact_mult__eq__if) implies:
% 298.62/67.60 | (77) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 298.62/67.60 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v1 &
% 298.62/67.60 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 &
% 298.62/67.60 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v2 & $i(v2) & $i(v1) &
% 298.62/67.60 | $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 298.62/67.60 | [v7: $i] : ! [v8: $i] : (v4 = v0 | ~
% 298.62/67.60 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v4, v2) = v5) | ~
% 298.62/67.60 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v7) = v8) | ~
% 298.62/67.60 | (hAPP(v6, v3) = v7) | ~ (hAPP(v1, v5) = v6) | ~ $i(v4) | ~
% 298.62/67.60 | $i(v3) | ? [v9: $i] : (hAPP(v9, v3) = v8 & hAPP(v1, v4) = v9 &
% 298.62/67.60 | $i(v9) & $i(v8))) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] :
% 298.62/67.60 | (v5 = v0 | ~ (hAPP(v4, v3) = v5) | ~ (hAPP(v1, v0) = v4) | ~
% 298.62/67.60 | $i(v3)))
% 298.62/67.60 |
% 298.62/67.60 | ALPHA: (fact_power__eq__if) implies:
% 298.62/67.60 | (78) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 298.62/67.60 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v3 &
% 298.62/67.60 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 &
% 298.62/67.60 | c_Power_Opower__class_Opower(tc_Nat_Onat) = v1 &
% 298.62/67.60 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v2 & $i(v3) & $i(v2) &
% 298.62/67.60 | $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 298.62/67.60 | $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : (v5 = v0 | ~
% 298.62/67.60 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v5, v2) = v8) | ~
% 298.62/67.60 | (hAPP(v7, v9) = v10) | ~ (hAPP(v6, v8) = v9) | ~ (hAPP(v3, v4) =
% 298.62/67.60 | v7) | ~ (hAPP(v1, v4) = v6) | ~ $i(v5) | ~ $i(v4) | (hAPP(v6,
% 298.62/67.60 | v5) = v10 & $i(v10))) & ! [v4: $i] : ! [v5: $i] : ! [v6:
% 298.62/67.60 | $i] : (v6 = v2 | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v1, v4) = v5) |
% 298.62/67.60 | ~ $i(v4)))
% 298.62/67.60 |
% 298.62/67.60 | ALPHA: (fact_realpow__num__eq__if) implies:
% 298.62/67.60 | (79) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 298.62/67.60 | = v0 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v1) & $i(v0)
% 298.62/67.60 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 298.62/67.60 | $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : !
% 298.62/67.60 | [v11: $i] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v1)
% 298.62/67.60 | = v9) | ~ (c_Groups_Otimes__class_Otimes(v4) = v7) | ~
% 298.62/67.60 | (c_Power_Opower__class_Opower(v4) = v5) | ~ (hAPP(v8, v10) = v11)
% 298.62/67.60 | | ~ (hAPP(v7, v2) = v8) | ~ (hAPP(v6, v9) = v10) | ~ (hAPP(v5,
% 298.62/67.60 | v2) = v6) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 298.62/67.60 | class_Power_Opower(v4) | ? [v12: $i] : ? [v13: $i] : (( ~ (v3 =
% 298.62/67.60 | v0) | (v13 = v12 & c_Groups_Oone__class_Oone(v4) = v12 &
% 298.62/67.60 | hAPP(v6, v0) = v12 & $i(v12))) & (v3 = v0 | (v12 = v11 &
% 298.62/67.60 | hAPP(v6, v3) = v11 & $i(v11))))))
% 298.62/67.60 |
% 298.62/67.60 | ALPHA: (fact_realpow__minus__mult) implies:
% 298.62/67.60 | (80) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 298.62/67.60 | = v0 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v1) & $i(v0)
% 298.62/67.60 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 298.62/67.60 | $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : !
% 298.62/67.60 | [v11: $i] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v1)
% 298.62/67.60 | = v8) | ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~
% 298.62/67.60 | (c_Power_Opower__class_Opower(v4) = v6) | ~ (hAPP(v10, v2) = v11)
% 298.62/67.60 | | ~ (hAPP(v7, v8) = v9) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5,
% 298.62/67.60 | v9) = v10) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 298.62/67.60 | class_Groups_Omonoid__mult(v4) | ~
% 298.62/67.60 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) | (hAPP(v7, v3)
% 298.62/67.60 | = v11 & $i(v11))))
% 298.62/67.60 |
% 298.62/67.60 | ALPHA: (fact_ath) implies:
% 298.62/67.60 | (81) ? [v0: $i] : ? [v1: $i] :
% 298.62/67.60 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.62/67.60 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0) &
% 298.62/67.60 | ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i]
% 298.62/67.60 | : ( ~ (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v4) = v5) | ~
% 298.62/67.60 | (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v1, v2) = v4) |
% 298.62/67.60 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v3) = v6) |
% 298.62/67.60 | ~ $i(v3) | ~ $i(v2) | ~
% 298.62/67.60 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1) | ~
% 298.62/67.60 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) | ~
% 298.62/67.60 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v2) |
% 298.62/67.60 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v1)))
% 298.62/67.60 |
% 298.62/67.60 | ALPHA: (fact__096cmod_A_I1_A_L_A_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Ia_A_L_Acomplex__of__real_At_A_K_Aw_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_J_A_061cmod_A_Icomplex__of__real_A_I1_A_N_At_A_094_Ak_J_A_L_A_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_096)
% 298.62/67.60 | implies:
% 298.62/67.60 | (82) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 298.62/67.60 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 298.62/67.60 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 298.62/67.60 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 298.62/67.60 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 298.62/67.60 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] :
% 298.62/67.60 | (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = v10 &
% 298.62/67.60 | c_RealVector_Oof__real(tc_Complex_Ocomplex, v21) = v22 &
% 298.62/67.60 | c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = v3 &
% 298.62/67.60 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v17, v20) = v21 &
% 298.62/67.60 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v1 &
% 298.62/67.60 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v26) = v16 &
% 298.62/67.60 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v15) = v16 &
% 298.62/67.60 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v22, v25) = v26 &
% 298.62/67.60 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v0, v14) = v15 &
% 298.62/67.60 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_a____, v12) = v13
% 298.62/67.60 | & c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v2 &
% 298.62/67.60 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v18 &
% 298.62/67.60 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 &
% 298.62/67.60 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v17 & hAPP(v24, v11) =
% 298.62/67.60 | v25 & hAPP(v19, v_k____) = v20 & hAPP(v18, v_t____) = v19 &
% 298.62/67.60 | hAPP(v10, v5) = v11 & hAPP(v9, v11) = v12 & hAPP(v8, v13) = v14 &
% 298.62/67.60 | hAPP(v8, v5) = v23 & hAPP(v6, v_k____) = v7 & hAPP(v4, v_w____) = v5
% 298.62/67.60 | & hAPP(v2, v5) = v6 & hAPP(v1, v23) = v24 & hAPP(v1, v7) = v8 &
% 298.62/67.60 | hAPP(v1, v5) = v9 & hAPP(v1, v3) = v4 & $i(v26) & $i(v25) & $i(v24)
% 298.62/67.60 | & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) &
% 298.62/67.60 | $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11)
% 298.62/67.60 | & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 298.62/67.60 | $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 298.62/67.60 |
% 298.62/67.60 | ALPHA: (fact__0961_A_L_Acomplex__of__real_At_A_094_Ak_A_K_A_Iw_A_094_Ak_A_K_Aa_J_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_Kpoly_As_A_Icomplex__of__real_At_A_K_Aw_J_A_061complex__of__real_A_I1_A_N_At_A_094_Ak_J_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_Kpoly_As_A_Icomplex__of__real_At_A_K_Aw_J_096)
% 298.62/67.60 | implies:
% 298.86/67.60 | (83) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 298.86/67.60 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 298.86/67.60 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 298.86/67.60 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 298.86/67.60 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 298.86/67.60 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] : ? [v28:
% 298.86/67.60 | $i] : ? [v29: $i] : (c_Polynomial_Opoly(tc_Complex_Ocomplex,
% 298.86/67.60 | v_s____) = v20 & c_RealVector_Oof__real(tc_Complex_Ocomplex, v28)
% 298.86/67.60 | = v29 & c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = v3 &
% 298.86/67.60 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v24, v27) = v28 &
% 298.86/67.60 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v1 &
% 298.86/67.60 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v29, v22) = v23 &
% 298.86/67.60 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v12, v22) = v23 &
% 298.86/67.60 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v0, v11) = v12 &
% 298.86/67.60 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v2 &
% 298.86/67.60 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v25 &
% 298.86/67.60 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 &
% 298.86/67.60 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v24 & hAPP(v26,
% 298.86/67.60 | v_k____) = v27 & hAPP(v25, v_t____) = v26 & hAPP(v20, v14) = v21 &
% 298.86/67.60 | hAPP(v19, v21) = v22 & hAPP(v17, v14) = v18 & hAPP(v15, v_k____) =
% 298.86/67.60 | v16 & hAPP(v13, v_w____) = v14 & hAPP(v9, v_a____) = v10 & hAPP(v7,
% 298.86/67.60 | v_k____) = v8 & hAPP(v6, v10) = v11 & hAPP(v4, v_k____) = v5 &
% 298.86/67.60 | hAPP(v2, v14) = v15 & hAPP(v2, v3) = v4 & hAPP(v2, v_w____) = v7 &
% 298.86/67.60 | hAPP(v1, v18) = v19 & hAPP(v1, v16) = v17 & hAPP(v1, v8) = v9 &
% 298.86/67.60 | hAPP(v1, v5) = v6 & hAPP(v1, v3) = v13 & $i(v29) & $i(v28) & $i(v27)
% 298.86/67.60 | & $i(v26) & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) &
% 298.86/67.60 | $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14)
% 298.86/67.60 | & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 298.86/67.60 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 298.86/67.60 |
% 298.86/67.60 | ALPHA: (fact__0961_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_Ia_A_L_Acomplex__of__real_At_A_K_Aw_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_A_061complex__of__real_A_I1_A_N_At_A_094_Ak_J_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_Kpoly_As_A_Icomplex__of__real_At_A_K_Aw_J_096)
% 298.86/67.60 | implies:
% 298.86/67.60 | (84) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 298.86/67.60 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 298.86/67.60 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 298.86/67.60 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 298.86/67.60 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 298.86/67.60 | : ? [v24: $i] : (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) =
% 298.86/67.60 | v10 & c_RealVector_Oof__real(tc_Complex_Ocomplex, v20) = v21 &
% 298.86/67.60 | c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = v3 &
% 298.86/67.60 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v16, v19) = v20 &
% 298.86/67.60 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v1 &
% 298.86/67.60 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v21, v24) = v15 &
% 298.86/67.60 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v0, v14) = v15 &
% 298.86/67.60 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_a____, v12) = v13
% 298.86/67.60 | & c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v2 &
% 298.86/67.60 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v17 &
% 298.86/67.60 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 &
% 298.86/67.60 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v16 & hAPP(v23, v11) =
% 298.86/67.60 | v24 & hAPP(v18, v_k____) = v19 & hAPP(v17, v_t____) = v18 &
% 298.86/67.60 | hAPP(v10, v5) = v11 & hAPP(v9, v11) = v12 & hAPP(v8, v13) = v14 &
% 298.86/67.60 | hAPP(v8, v5) = v22 & hAPP(v6, v_k____) = v7 & hAPP(v4, v_w____) = v5
% 298.86/67.60 | & hAPP(v2, v5) = v6 & hAPP(v1, v22) = v23 & hAPP(v1, v7) = v8 &
% 298.86/67.60 | hAPP(v1, v5) = v9 & hAPP(v1, v3) = v4 & $i(v24) & $i(v23) & $i(v22)
% 298.86/67.60 | & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) &
% 298.86/67.60 | $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 298.86/67.60 | $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 298.86/67.60 | $i(v1) & $i(v0))
% 298.86/67.60 |
% 298.86/67.60 | ALPHA: (fact_m_I2_J) implies:
% 298.86/67.60 | (85) ? [v0: $i] : ? [v1: $i] : (c_Polynomial_Opoly(tc_Complex_Ocomplex,
% 298.86/67.60 | v_s____) = v1 &
% 298.86/67.60 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v0 &
% 298.86/67.60 | $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~ (hAPP(v1, v2) =
% 298.86/67.60 | v3) | ~ $i(v2) | ? [v4: $i] : ? [v5: $i] :
% 298.86/67.60 | ((c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v5 &
% 298.86/67.60 | $i(v5) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 298.86/67.60 | v5, v_m____)) |
% 298.86/67.60 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v4 &
% 298.86/67.60 | $i(v4) & ~
% 298.86/67.60 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4,
% 298.86/67.60 | v0)))))
% 298.86/67.60 |
% 298.86/67.60 | ALPHA: (fact__0961_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_Ia_A_L_Acomplex__of__real_At_A_K_Aw_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_A_0611_A_L_Acomplex__of__real_At_A_094_Ak_A_K_A_Iw_A_094_Ak_A_K_Aa_J_A_L_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_Kpoly_As_A_Icomplex__of__real_At_A_K_Aw_J_096)
% 298.86/67.60 | implies:
% 298.86/67.61 | (86) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 298.86/67.61 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 298.86/67.61 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 298.86/67.61 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 298.86/67.61 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 298.86/67.61 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] :
% 298.86/67.61 | (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = v10 &
% 298.86/67.61 | c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = v3 &
% 298.86/67.61 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v1 &
% 298.86/67.61 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v24, v27) = v15 &
% 298.86/67.61 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v0, v23) = v24 &
% 298.86/67.61 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v0, v14) = v15 &
% 298.86/67.61 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_a____, v12) = v13
% 298.86/67.61 | & c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v2 &
% 298.86/67.61 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 & hAPP(v26, v11)
% 298.86/67.61 | = v27 & hAPP(v21, v_a____) = v22 & hAPP(v19, v_k____) = v20 &
% 298.86/67.61 | hAPP(v18, v22) = v23 & hAPP(v16, v_k____) = v17 & hAPP(v10, v5) =
% 298.86/67.61 | v11 & hAPP(v9, v11) = v12 & hAPP(v8, v13) = v14 & hAPP(v8, v5) = v25
% 298.86/67.61 | & hAPP(v6, v_k____) = v7 & hAPP(v4, v_w____) = v5 & hAPP(v2, v5) =
% 298.86/67.61 | v6 & hAPP(v2, v3) = v16 & hAPP(v2, v_w____) = v19 & hAPP(v1, v25) =
% 298.86/67.61 | v26 & hAPP(v1, v20) = v21 & hAPP(v1, v17) = v18 & hAPP(v1, v7) = v8
% 298.86/67.61 | & hAPP(v1, v5) = v9 & hAPP(v1, v3) = v4 & $i(v27) & $i(v26) &
% 298.86/67.61 | $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19)
% 298.86/67.61 | & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) &
% 298.86/67.61 | $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 298.86/67.61 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 298.86/67.61 |
% 298.86/67.61 | ALPHA: (fact__096cmod_A_Icomplex__of__real_A_I1_A_N_At_A_094_Ak_J_A_L_A_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_060_061_Acmod_A_Icomplex__of__real_A_I1_A_N_At_A_094_Ak_J_J_A_L_Acmod_A_I_Icomplex__of__real_At_A_K_Aw_J_A_094_Ak_A_K_A_Icomplex__of__real_At_A_K_Aw_J_A_K_Apoly_As_A_Icomplex__of__real_At_A_K_Aw_J_J_096)
% 298.86/67.61 | implies:
% 298.86/67.61 | (87) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 298.86/67.61 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 298.86/67.61 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 298.86/67.61 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 298.86/67.61 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 298.86/67.61 | : (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = v16 &
% 298.86/67.61 | c_RealVector_Oof__real(tc_Complex_Ocomplex, v4) = v5 &
% 298.86/67.61 | c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = v8 &
% 298.86/67.61 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v0, v3) = v4 &
% 298.86/67.61 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v6 &
% 298.86/67.61 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v19) = v20 &
% 298.86/67.61 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v18) = v22 &
% 298.86/67.61 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v21 &
% 298.86/67.61 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v5, v18) = v19 &
% 298.86/67.61 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v21, v22) = v23 &
% 298.86/67.61 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v7 &
% 298.86/67.61 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v1 &
% 298.86/67.61 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & hAPP(v16, v10) =
% 298.86/67.61 | v17 & hAPP(v15, v17) = v18 & hAPP(v13, v10) = v14 & hAPP(v11,
% 298.86/67.61 | v_k____) = v12 & hAPP(v9, v_w____) = v10 & hAPP(v7, v10) = v11 &
% 298.86/67.61 | hAPP(v6, v14) = v15 & hAPP(v6, v12) = v13 & hAPP(v6, v8) = v9 &
% 298.86/67.61 | hAPP(v2, v_k____) = v3 & hAPP(v1, v_t____) = v2 & $i(v23) & $i(v22)
% 298.86/67.61 | & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) &
% 298.86/67.61 | $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 298.86/67.61 | $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 298.86/67.61 | $i(v1) & $i(v0) &
% 298.86/67.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v20, v23))
% 298.86/67.61 |
% 298.86/67.61 | ALPHA: (fact_th11) implies:
% 298.86/67.61 | (88) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 298.86/67.61 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 298.86/67.61 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 298.86/67.61 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ?
% 298.86/67.61 | [v19: $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: $i]
% 298.86/67.61 | : ? [v24: $i] : ? [v25: $i] : ? [v26: $i] : ? [v27: $i] :
% 298.86/67.61 | (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = v10 &
% 298.86/67.61 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v21) = v22 &
% 298.86/67.61 | c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = v3 &
% 298.86/67.61 | c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v17, v20) = v21 &
% 298.86/67.61 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v1 &
% 298.86/67.61 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v25) = v26 &
% 298.86/67.61 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v15) = v16 &
% 298.86/67.61 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v0, v14) = v15 &
% 298.86/67.61 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_a____, v12) = v13
% 298.86/67.61 | & c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v22, v26) = v27 &
% 298.86/67.61 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v2 &
% 298.86/67.61 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v18 &
% 298.86/67.61 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 &
% 298.86/67.61 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v17 & hAPP(v24, v11) =
% 298.86/67.61 | v25 & hAPP(v19, v_k____) = v20 & hAPP(v18, v_t____) = v19 &
% 298.86/67.61 | hAPP(v10, v5) = v11 & hAPP(v9, v11) = v12 & hAPP(v8, v13) = v14 &
% 298.86/67.61 | hAPP(v8, v5) = v23 & hAPP(v6, v_k____) = v7 & hAPP(v4, v_w____) = v5
% 298.86/67.61 | & hAPP(v2, v5) = v6 & hAPP(v1, v23) = v24 & hAPP(v1, v7) = v8 &
% 298.86/67.61 | hAPP(v1, v5) = v9 & hAPP(v1, v3) = v4 & $i(v27) & $i(v26) & $i(v25)
% 298.86/67.61 | & $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20) & $i(v19) &
% 298.86/67.61 | $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) & $i(v13) & $i(v12)
% 298.86/67.61 | & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) &
% 298.86/67.61 | $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) &
% 298.86/67.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v16, v27))
% 298.86/67.61 |
% 298.86/67.61 | ALPHA: (fact_abs__norm__cancel) implies:
% 298.86/67.61 | (89) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 298.86/67.61 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~
% 298.86/67.61 | $i(v0) | ~ class_RealVector_Oreal__normed__vector(v1) |
% 298.86/67.61 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v2) = v2 & $i(v2)))
% 298.86/67.61 |
% 298.86/67.61 | ALPHA: (fact_rabs__ratiotest__lemma) implies:
% 298.86/67.61 | (90) ? [v0: $i] : ? [v1: $i] :
% 298.86/67.61 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 298.86/67.61 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 298.86/67.61 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 298.86/67.61 | $i] : ! [v7: $i] : ! [v8: $i] : (v3 = v0 | ~
% 298.86/67.61 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v3) = v5) | ~
% 298.86/67.61 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v2) = v7) | ~
% 298.86/67.61 | (hAPP(v6, v7) = v8) | ~ (hAPP(v1, v4) = v6) | ~ $i(v4) | ~
% 298.86/67.61 | $i(v3) | ~ $i(v2) | ~
% 298.86/67.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v8) | ~
% 298.86/67.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v0)))
% 298.86/67.61 |
% 298.86/67.61 | ALPHA: (fact_real__abs__def) implies:
% 298.86/67.61 | (91) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.86/67.61 | $i(v0) & ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~
% 298.86/67.61 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1) = v2) | ~ $i(v1)
% 298.86/67.61 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0)) & !
% 298.86/67.61 | [v1: $i] : ! [v2: $i] : ( ~
% 298.86/67.61 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1) = v2) | ~ $i(v1)
% 298.86/67.61 | | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) |
% 298.86/67.61 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2 &
% 298.86/67.61 | $i(v2))))
% 298.86/67.61 |
% 298.86/67.61 | ALPHA: (fact_abs__add__one__not__less__self) implies:
% 298.86/67.61 | (92) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 298.86/67.61 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~
% 298.86/67.61 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1) = v2) | ~ $i(v1)
% 298.86/67.61 | | ? [v3: $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2,
% 298.86/67.61 | v0) = v3 & $i(v3) & ~
% 298.86/67.61 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v1))))
% 298.86/67.61 |
% 298.86/67.61 | ALPHA: (fact_abs__add__one__gt__zero) implies:
% 298.86/67.61 | (93) ? [v0: $i] : ? [v1: $i] :
% 298.86/67.61 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.86/67.61 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0) &
% 298.86/67.61 | ! [v2: $i] : ! [v3: $i] : ( ~
% 298.86/67.61 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v2) = v3) | ~ $i(v2)
% 298.86/67.61 | | ? [v4: $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1,
% 298.86/67.61 | v3) = v4 & $i(v4) &
% 298.86/67.61 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4))))
% 298.86/67.61 |
% 298.86/67.61 | ALPHA: (fact__096_B_Bthesis_O_A_I_B_Bm_O_A_091_124_A0_A_060_Am_059_AALL_Az_O_Acmod_Az_A_060_061_Acmod_Aw_A_N_N_062_Acmod_A_Ipoly_As_Az_J_A_060_061_Am_A_124_093_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096)
% 298.86/67.61 | implies:
% 298.86/67.61 | (94) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 298.86/67.61 | (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = v2 &
% 298.86/67.61 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v1 &
% 298.86/67.61 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v3) & $i(v2)
% 298.86/67.61 | & $i(v1) & $i(v0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 298.86/67.61 | v0, v3) & ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v2, v4) = v5) | ~
% 298.86/67.61 | $i(v4) | ? [v6: $i] : ? [v7: $i] :
% 298.86/67.61 | ((c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v7 &
% 298.86/67.61 | $i(v7) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 298.86/67.61 | v7, v3)) |
% 298.86/67.61 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v6 &
% 298.86/67.61 | $i(v6) & ~
% 298.86/67.61 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6,
% 298.86/67.61 | v1)))))
% 298.86/67.61 |
% 298.86/67.61 | ALPHA: (fact_kn) implies:
% 298.86/67.61 | (95) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ( ~ (v2 = v0) &
% 298.86/67.61 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 298.86/67.61 | v_pa____) = v0 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____,
% 298.86/67.61 | v1) = v2 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v2) &
% 298.86/67.61 | $i(v1) & $i(v0))
% 298.86/67.61 |
% 298.86/67.61 | ALPHA: (fact_k1n) implies:
% 298.86/67.61 | (96) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 298.86/67.61 | (c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 298.86/67.61 | v_pa____) = v2 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____,
% 298.86/67.61 | v0) = v1 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v2) &
% 298.86/67.61 | $i(v1) & $i(v0) & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1,
% 298.86/67.61 | v2))
% 298.86/67.61 |
% 298.86/67.61 | ALPHA: (fact_kas_I3_J) implies:
% 298.86/67.61 | (97) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 298.86/67.61 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 298.86/67.61 | (c_Polynomial_Osmult(tc_Complex_Ocomplex, v7, v_q____) = v8 &
% 298.86/67.61 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 298.86/67.61 | v8) = v3 &
% 298.86/67.61 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 298.86/67.61 | v_s____) = v0 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) =
% 298.86/67.61 | v4 & c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, v6) = v7
% 298.86/67.61 | & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v2) = v3 &
% 298.86/67.61 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v_k____) = v1 &
% 298.86/67.61 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v5 &
% 298.86/67.61 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v2 & hAPP(v4, v5) = v6 &
% 298.86/67.61 | $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 298.86/67.61 | $i(v1) & $i(v0))
% 298.86/67.61 |
% 298.86/67.61 | ALPHA: (fact_mrmq__eq) implies:
% 298.86/67.61 | (98) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 298.86/67.61 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 298.86/67.61 | (c_Polynomial_Osmult(tc_Complex_Ocomplex, v3, v_q____) = v4 &
% 298.86/67.61 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v4) = v5 &
% 298.86/67.61 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v0 &
% 298.86/67.61 | c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, v2) = v3 &
% 298.86/67.61 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v7 &
% 298.86/67.61 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 &
% 298.86/67.61 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v6 & hAPP(v0, v1) = v2
% 298.86/67.61 | & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 298.86/67.61 | $i(v0) & ! [v8: $i] : ! [v9: $i] : ( ~ (hAPP(v5, v8) = v9) | ~
% 298.86/67.61 | $i(v8) | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] :
% 298.86/67.61 | ((c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v11) = v12
% 298.86/67.61 | & hAPP(v0, v8) = v11 & $i(v12) & $i(v11) &
% 298.86/67.61 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12, v7)) |
% 298.86/67.61 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v9) = v10
% 298.86/67.61 | & $i(v10) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 298.86/67.61 | v10, v6)))) & ! [v8: $i] : ! [v9: $i] : ( ~ (hAPP(v5, v8)
% 298.86/67.61 | = v9) | ~ $i(v8) | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] :
% 298.86/67.61 | ((c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v10) = v11
% 298.86/67.61 | & hAPP(v0, v8) = v10 & $i(v11) & $i(v10) & ~
% 298.86/67.61 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11, v7)) |
% 298.86/67.61 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v9) = v12
% 298.86/67.61 | & $i(v12) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 298.86/67.61 | v12, v6)))))
% 298.86/67.61 |
% 298.86/67.61 | ALPHA: (fact__096poly_Aq_A0_A_061_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_A0_A_K_Apoly_Aq_A0_096)
% 298.86/67.61 | implies:
% 298.86/67.61 | (99) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 298.86/67.61 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 298.86/67.61 | (c_Polynomial_Osmult(tc_Complex_Ocomplex, v4, v_q____) = v5 &
% 298.86/67.61 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v5) = v6 &
% 298.86/67.61 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v0 &
% 298.86/67.61 | c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, v2) = v4 &
% 298.86/67.61 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v3 &
% 298.86/67.61 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 & hAPP(v8, v2)
% 298.86/67.61 | = v2 & hAPP(v6, v1) = v7 & hAPP(v3, v7) = v8 & hAPP(v0, v1) = v2 &
% 298.86/67.61 | $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 298.86/67.61 | $i(v1) & $i(v0))
% 298.86/67.61 |
% 298.86/67.61 | ALPHA: (fact_qr) implies:
% 298.86/67.61 | (100) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 298.86/67.61 | ? [v5: $i] : ? [v6: $i] : (c_Polynomial_Osmult(tc_Complex_Ocomplex,
% 298.86/67.61 | v4, v_q____) = v5 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v5) =
% 298.86/67.61 | v6 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v0 &
% 298.86/67.61 | c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, v3) = v4 &
% 298.86/67.61 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v1 &
% 298.86/67.61 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 & hAPP(v0,
% 298.86/67.61 | v2) = v3 & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 298.86/67.61 | $i(v0) & ! [v7: $i] : ! [v8: $i] : ( ~ (hAPP(v6, v7) = v8) | ~
% 298.86/67.61 | $i(v7) | ? [v9: $i] : ? [v10: $i] : (hAPP(v10, v3) = v9 &
% 298.86/67.61 | hAPP(v1, v8) = v10 & hAPP(v0, v7) = v9 & $i(v10) & $i(v9))))
% 298.86/67.61 |
% 298.86/67.61 | ALPHA: (fact_kas_I4_J) implies:
% 298.86/67.61 | (101) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 298.86/67.61 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 298.86/67.61 | ? [v10: $i] : (c_Polynomial_OpCons(tc_Complex_Ocomplex, v_a____,
% 298.86/67.61 | v_s____) = v9 & c_Polynomial_Osmult(tc_Complex_Ocomplex, v3,
% 298.86/67.61 | v_q____) = v4 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v9) = v10
% 298.86/67.61 | & c_Polynomial_Opoly(tc_Complex_Ocomplex, v4) = v5 &
% 298.86/67.61 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v0 &
% 298.86/67.61 | c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, v2) = v3 &
% 298.86/67.61 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v7 &
% 298.86/67.61 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 &
% 298.86/67.61 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v8 & hAPP(v5,
% 298.86/67.61 | v1) = v6 & hAPP(v0, v1) = v2 & $i(v10) & $i(v9) & $i(v8) & $i(v7)
% 298.86/67.61 | & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & !
% 298.86/67.61 | [v11: $i] : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15:
% 298.86/67.61 | $i] : ! [v16: $i] : ( ~ (hAPP(v14, v15) = v16) | ~ (hAPP(v12,
% 298.86/67.61 | v_k____) = v13) | ~ (hAPP(v10, v11) = v15) | ~ (hAPP(v8,
% 298.86/67.61 | v11) = v12) | ~ (hAPP(v7, v13) = v14) | ~ $i(v11) | ?
% 298.86/67.61 | [v17: $i] : (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v6,
% 298.86/67.61 | v16) = v17 & hAPP(v5, v11) = v17 & $i(v17))))
% 298.86/67.61 |
% 298.86/67.61 | ALPHA: (fact_th01) implies:
% 298.86/67.61 | (102) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 298.86/67.61 | ? [v5: $i] : (c_Polynomial_Omonom(tc_Complex_Ocomplex, v_a____, v2)
% 298.86/67.61 | = v3 & c_Polynomial_OpCons(tc_Complex_Ocomplex, v0, v3) = v4 &
% 298.86/67.61 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v4) = v5 &
% 298.86/67.61 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v_k____, v1) = v2 &
% 298.86/67.61 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 &
% 298.86/67.61 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 & $i(v5) &
% 298.86/67.61 | $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ~
% 298.86/67.61 | c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,
% 298.86/67.61 | tc_Complex_Ocomplex, v5))
% 298.86/67.61 |
% 298.86/67.61 | ALPHA: (fact_th02) implies:
% 298.86/67.61 | (103) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 298.86/67.61 | ? [v5: $i] : (c_Polynomial_Omonom(tc_Complex_Ocomplex, v_a____, v3)
% 298.86/67.61 | = v4 & c_Polynomial_OpCons(tc_Complex_Ocomplex, v2, v4) = v5 &
% 298.86/67.61 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 298.86/67.61 | v5) = v1 & c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v_k____,
% 298.86/67.61 | v0) = v3 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, v0)
% 298.86/67.61 | = v1 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 &
% 298.86/67.61 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v2 & $i(v5) &
% 298.86/67.61 | $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 298.86/67.61 |
% 298.86/67.61 | ALPHA: (fact__096EX_Az_O_Apoly_A_IpCons_A1_A_Imonom_Aa_A_Ik_A_N_A1_J_J_J_Az_A_061_A0_096)
% 298.86/67.61 | implies:
% 298.86/67.61 | (104) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 298.86/67.61 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 298.86/67.61 | (c_Polynomial_Omonom(tc_Complex_Ocomplex, v_a____, v2) = v3 &
% 298.86/67.61 | c_Polynomial_OpCons(tc_Complex_Ocomplex, v0, v3) = v4 &
% 298.86/67.61 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v4) = v5 &
% 298.86/67.61 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v_k____, v1) = v2 &
% 298.86/67.61 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v6 &
% 298.86/67.61 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 &
% 298.86/67.61 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 & hAPP(v5, v7)
% 298.86/67.61 | = v6 & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1)
% 298.86/67.61 | & $i(v0))
% 298.86/67.61 |
% 298.86/67.61 | ALPHA: (fact_of__real_Opos__bounded) implies:
% 298.86/67.62 | (105) ? [v0: $i] : ? [v1: $i] :
% 298.86/67.62 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 298.86/67.62 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) &
% 298.86/67.62 | $i(v0) & ! [v2: $i] : ( ~ $i(v2) | ~
% 298.86/67.62 | class_RealVector_Oreal__algebra__1(v2) | ~
% 298.86/67.62 | class_RealVector_Oreal__normed__vector(v2) | ? [v3: $i] :
% 298.86/67.62 | ($i(v3) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3)
% 298.86/67.62 | & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 298.86/67.62 | (c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal, v4) = v5)
% 298.86/67.62 | | ~ (hAPP(v6, v3) = v7) | ~ (hAPP(v1, v5) = v6) | ~ $i(v4)
% 298.86/67.62 | | ? [v8: $i] : ? [v9: $i] : (c_RealVector_Oof__real(v2, v4)
% 298.86/67.62 | = v8 & c_RealVector_Onorm__class_Onorm(v2, v8) = v9 &
% 298.86/67.62 | $i(v9) & $i(v8) &
% 298.86/67.62 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v9,
% 298.86/67.62 | v7))))))
% 298.86/67.62 |
% 298.86/67.62 | ALPHA: (fact__096EX_Ak_Aa_Aqa_O_Aa_A_126_061_A0_A_G_Ak_A_126_061_A0_A_G_Apsize_Aqa_A_L_Ak_A_L_A1_A_061_Apsize_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_A_G_A_IALL_Az_O_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_Az_A_061_Apoly_A_Ismult_A_Iinverse_A_Ipoly_Aq_A0_J_J_Aq_J_A0_A_L_Az_A_094_Ak_A_K_Apoly_A_IpCons_Aa_Aqa_J_Az_J_096)
% 298.86/67.62 | implies:
% 298.86/67.62 | (106) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 298.86/67.62 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 298.86/67.62 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 298.86/67.62 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : (
% 298.86/67.62 | ~ (v13 = v0) & ~ (v12 = v1) &
% 298.86/67.62 | c_Polynomial_OpCons(tc_Complex_Ocomplex, v13, v14) = v17 &
% 298.86/67.62 | c_Polynomial_Osmult(tc_Complex_Ocomplex, v5, v_q____) = v6 &
% 298.86/67.62 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 298.86/67.62 | v14) = v15 &
% 298.86/67.62 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 298.86/67.62 | v6) = v7 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v17) = v18 &
% 298.86/67.62 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v6) = v8 &
% 298.86/67.62 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v3 &
% 298.86/67.62 | c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, v4) = v5 &
% 298.86/67.62 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v10 &
% 298.86/67.62 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v16, v2) = v7 &
% 298.86/67.62 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v15, v12) = v16 &
% 298.86/67.62 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 &
% 298.86/67.62 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0 &
% 298.86/67.62 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v11 &
% 298.86/67.62 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v2 & hAPP(v8, v0) = v9 &
% 298.86/67.62 | hAPP(v3, v0) = v4 & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14)
% 298.86/67.62 | & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7)
% 298.86/67.62 | & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & !
% 298.86/67.62 | [v19: $i] : ! [v20: $i] : ( ~ (hAPP(v8, v19) = v20) | ~ $i(v19) |
% 298.86/67.62 | ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? [v24: $i] : ?
% 298.86/67.62 | [v25: $i] : (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v9,
% 298.86/67.62 | v25) = v20 & hAPP(v23, v24) = v25 & hAPP(v21, v12) = v22 &
% 298.86/67.62 | hAPP(v18, v19) = v24 & hAPP(v11, v19) = v21 & hAPP(v10, v22) =
% 298.86/67.62 | v23 & $i(v25) & $i(v24) & $i(v23) & $i(v22) & $i(v21) &
% 298.86/67.62 | $i(v20))))
% 298.86/67.62 |
% 298.86/67.62 | ALPHA: (fact_natceiling__add__one) implies:
% 298.86/67.62 | (107) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 298.86/67.62 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.86/67.62 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v2 &
% 298.86/67.62 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & $i(v2) & $i(v1)
% 298.86/67.62 | & $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~
% 298.86/67.62 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v1) = v4) | ~
% 298.86/67.62 | $i(v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 298.86/67.62 | v0, v3) | ? [v5: $i] : ? [v6: $i] :
% 298.86/67.62 | (c_RComplete_Onatceiling(v4) = v5 & c_RComplete_Onatceiling(v3) =
% 298.86/67.62 | v6 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v6, v2) = v5 &
% 298.86/67.62 | $i(v6) & $i(v5))))
% 298.86/67.62 |
% 298.86/67.62 | ALPHA: (fact_natceiling__zero) implies:
% 298.86/67.62 | (108) ? [v0: $i] : ? [v1: $i] : (c_RComplete_Onatceiling(v0) = v1 &
% 298.86/67.62 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 &
% 298.86/67.62 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) &
% 298.86/67.62 | $i(v0))
% 298.86/67.62 |
% 298.86/67.62 | ALPHA: (fact_natceiling__one) implies:
% 298.86/67.62 | (109) ? [v0: $i] : ? [v1: $i] : (c_RComplete_Onatceiling(v0) = v1 &
% 298.86/67.62 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 &
% 298.86/67.62 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0))
% 298.86/67.62 |
% 298.86/67.62 | ALPHA: (fact_natceiling__neg) implies:
% 298.86/67.62 | (110) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 298.86/67.62 | = v1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1)
% 298.86/67.62 | & $i(v0) & ! [v2: $i] : ! [v3: $i] : (v3 = v1 | ~
% 298.86/67.62 | (c_RComplete_Onatceiling(v2) = v3) | ~ $i(v2) | ~
% 298.86/67.62 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0)))
% 298.86/67.62 |
% 298.86/67.62 | ALPHA: (fact_natceiling__le__eq__one) implies:
% 298.86/67.62 | (111) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) =
% 298.86/67.62 | v0 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & $i(v1) &
% 298.86/67.62 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~
% 298.86/67.62 | (c_RComplete_Onatceiling(v2) = v3) | ~ $i(v2) | ~
% 298.86/67.62 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v0) |
% 298.86/67.62 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1)) & !
% 298.86/67.62 | [v2: $i] : ! [v3: $i] : ( ~ (c_RComplete_Onatceiling(v2) = v3) |
% 298.86/67.62 | ~ $i(v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 298.86/67.62 | v2, v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3,
% 298.86/67.62 | v0)))
% 298.86/67.62 |
% 298.86/67.62 | ALPHA: (fact_of__real_Ononneg__bounded) implies:
% 298.86/67.62 | (112) ? [v0: $i] : ? [v1: $i] :
% 298.86/67.62 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 298.86/67.62 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) &
% 298.86/67.62 | $i(v0) & ! [v2: $i] : ( ~ $i(v2) | ~
% 298.86/67.62 | class_RealVector_Oreal__algebra__1(v2) | ~
% 298.86/67.62 | class_RealVector_Oreal__normed__vector(v2) | ? [v3: $i] :
% 298.86/67.62 | ($i(v3) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 298.86/67.62 | v3) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] :
% 298.86/67.62 | ( ~ (c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal, v4) =
% 298.86/67.62 | v5) | ~ (hAPP(v6, v3) = v7) | ~ (hAPP(v1, v5) = v6) | ~
% 298.86/67.62 | $i(v4) | ? [v8: $i] : ? [v9: $i] :
% 298.86/67.62 | (c_RealVector_Oof__real(v2, v4) = v8 &
% 298.86/67.62 | c_RealVector_Onorm__class_Onorm(v2, v8) = v9 & $i(v9) &
% 298.86/67.62 | $i(v8) &
% 298.86/67.62 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v9,
% 298.86/67.62 | v7))))))
% 298.86/67.62 |
% 298.86/67.62 | ALPHA: (fact_lemmaCauchy) implies:
% 298.86/67.62 | (113) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 298.86/67.62 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 298.86/67.62 | [v5: $i] : ! [v6: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v4,
% 298.86/67.62 | v5) = v6) | ~ (hAPP(v1, v2) = v5) | ~ $i(v4) | ~ $i(v3) |
% 298.86/67.62 | ~ $i(v2) | ~ $i(v1) | ~ class_Orderings_Oord(v3) | ~
% 298.86/67.62 | class_RealVector_Oreal__normed__vector(v4) | ? [v7: $i] : ?
% 298.86/67.62 | [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ($i(v8) &
% 298.86/67.62 | ((c_Groups_Ominus__class_Ominus(v4, v5, v9) = v10 &
% 298.86/67.62 | c_RealVector_Onorm__class_Onorm(v4, v10) = v11 & hAPP(v1,
% 298.86/67.62 | v8) = v9 & $i(v11) & $i(v10) & $i(v9) &
% 298.86/67.62 | c_Orderings_Oord__class_Oless__eq(v3, v2, v8) & ~
% 298.86/67.62 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11, v0)) |
% 298.86/67.62 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v0, v6) = v7 &
% 298.86/67.62 | $i(v7) & ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ( ~
% 298.86/67.62 | (c_RealVector_Onorm__class_Onorm(v4, v13) = v14) | ~
% 298.86/67.62 | (hAPP(v1, v12) = v13) | ~ $i(v12) | ~
% 298.86/67.62 | c_Orderings_Oord__class_Oless__eq(v3, v2, v12) |
% 298.86/67.62 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v14,
% 298.86/67.62 | v7)))))))
% 298.86/67.62 |
% 298.86/67.62 | ALPHA: (fact_mult__left_Opos__bounded) implies:
% 298.86/67.62 | (114) ? [v0: $i] : ? [v1: $i] :
% 298.86/67.62 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 298.86/67.62 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) &
% 298.86/67.62 | $i(v0) & ? [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 298.86/67.62 | (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ $i(v3) | ~ $i(v2)
% 298.86/67.62 | | ~ class_RealVector_Oreal__normed__algebra(v3) | ? [v5: $i] :
% 298.86/67.62 | ($i(v5) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v5)
% 298.86/67.62 | & ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~
% 298.86/67.62 | (c_RealVector_Onorm__class_Onorm(v3, v6) = v7) | ~ (hAPP(v8,
% 298.86/67.62 | v5) = v9) | ~ (hAPP(v1, v7) = v8) | ~ $i(v6) | ? [v10:
% 298.86/67.62 | $i] : ? [v11: $i] : ? [v12: $i] :
% 298.86/67.62 | (c_RealVector_Onorm__class_Onorm(v3, v11) = v12 & hAPP(v10,
% 298.86/67.62 | v2) = v11 & hAPP(v4, v6) = v10 & $i(v12) & $i(v11) &
% 298.86/67.62 | $i(v10) &
% 298.86/67.62 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v12,
% 298.86/67.62 | v9))))))
% 298.86/67.62 |
% 298.86/67.62 | ALPHA: (fact_mult__right_Opos__bounded) implies:
% 298.86/67.62 | (115) ? [v0: $i] : ? [v1: $i] :
% 298.86/67.62 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 298.86/67.62 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) &
% 298.86/67.62 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (
% 298.86/67.62 | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v4, v2) =
% 298.86/67.62 | v5) | ~ $i(v3) | ~ $i(v2) | ~
% 298.86/67.62 | class_RealVector_Oreal__normed__algebra(v3) | ? [v6: $i] :
% 298.86/67.62 | ($i(v6) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v6)
% 298.86/67.62 | & ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ( ~
% 298.86/67.62 | (c_RealVector_Onorm__class_Onorm(v3, v7) = v8) | ~ (hAPP(v9,
% 298.86/67.62 | v6) = v10) | ~ (hAPP(v1, v8) = v9) | ~ $i(v7) | ?
% 298.86/67.62 | [v11: $i] : ? [v12: $i] :
% 298.86/67.62 | (c_RealVector_Onorm__class_Onorm(v3, v11) = v12 & hAPP(v5,
% 298.86/67.62 | v7) = v11 & $i(v12) & $i(v11) &
% 298.86/67.62 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v12,
% 298.86/67.62 | v10))))))
% 298.86/67.62 |
% 298.86/67.62 | ALPHA: (fact_mult_Opos__bounded) implies:
% 298.86/67.62 | (116) ? [v0: $i] : ? [v1: $i] :
% 298.86/67.62 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 298.86/67.62 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) &
% 298.86/67.62 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~
% 298.86/67.62 | (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ $i(v2) | ~
% 298.86/67.62 | class_RealVector_Oreal__normed__algebra(v2) | ? [v4: $i] :
% 298.86/67.62 | ($i(v4) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4)
% 298.86/67.62 | & ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : !
% 298.86/67.62 | [v9: $i] : ! [v10: $i] : ! [v11: $i] : ! [v12: $i] : ( ~
% 298.86/67.62 | (c_RealVector_Onorm__class_Onorm(v2, v6) = v9) | ~
% 298.86/67.62 | (c_RealVector_Onorm__class_Onorm(v2, v5) = v7) | ~
% 298.86/67.62 | (hAPP(v11, v4) = v12) | ~ (hAPP(v8, v9) = v10) | ~
% 298.86/67.62 | (hAPP(v1, v10) = v11) | ~ (hAPP(v1, v7) = v8) | ~ $i(v6) |
% 298.86/67.62 | ~ $i(v5) | ? [v13: $i] : ? [v14: $i] : ? [v15: $i] :
% 298.86/67.62 | (c_RealVector_Onorm__class_Onorm(v2, v14) = v15 & hAPP(v13,
% 298.86/67.62 | v6) = v14 & hAPP(v3, v5) = v13 & $i(v15) & $i(v14) &
% 298.86/67.62 | $i(v13) &
% 298.86/67.62 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v15,
% 298.86/67.62 | v12))))))
% 298.86/67.62 |
% 298.86/67.62 | ALPHA: (fact_natfloor__add__one) implies:
% 298.86/67.62 | (117) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 298.86/67.62 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.86/67.62 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v2 &
% 298.86/67.62 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & $i(v2) & $i(v1)
% 298.86/67.62 | & $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~
% 298.86/67.62 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v1) = v4) | ~
% 298.86/67.62 | $i(v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 298.86/67.62 | v0, v3) | ? [v5: $i] : ? [v6: $i] :
% 298.86/67.62 | (c_RComplete_Onatfloor(v4) = v5 & c_RComplete_Onatfloor(v3) = v6
% 298.86/67.62 | & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v6, v2) = v5 &
% 298.86/67.62 | $i(v6) & $i(v5))))
% 298.86/67.62 |
% 298.86/67.62 | ALPHA: (fact_natfloor__zero) implies:
% 298.86/67.62 | (118) ? [v0: $i] : ? [v1: $i] : (c_RComplete_Onatfloor(v0) = v1 &
% 298.86/67.62 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 &
% 298.86/67.62 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) &
% 298.86/67.62 | $i(v0))
% 298.86/67.62 |
% 298.86/67.62 | ALPHA: (fact_natfloor__one) implies:
% 298.86/67.62 | (119) ? [v0: $i] : ? [v1: $i] : (c_RComplete_Onatfloor(v0) = v1 &
% 298.86/67.62 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 &
% 298.86/67.62 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0))
% 298.86/67.62 |
% 298.86/67.62 | ALPHA: (fact_natfloor__neg) implies:
% 298.86/67.62 | (120) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 298.86/67.62 | = v1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1)
% 298.86/67.62 | & $i(v0) & ! [v2: $i] : ! [v3: $i] : (v3 = v1 | ~
% 298.86/67.62 | (c_RComplete_Onatfloor(v2) = v3) | ~ $i(v2) | ~
% 298.86/67.62 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0)))
% 298.86/67.62 |
% 298.86/67.62 | ALPHA: (fact_le__natfloor__eq__one) implies:
% 298.86/67.62 | (121) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) =
% 298.86/67.62 | v0 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & $i(v1) &
% 298.86/67.62 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~ (c_RComplete_Onatfloor(v2)
% 298.86/67.62 | = v3) | ~ $i(v2) | ~
% 298.86/67.62 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v3) |
% 298.86/67.62 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v2)) & !
% 298.86/67.62 | [v2: $i] : ! [v3: $i] : ( ~ (c_RComplete_Onatfloor(v2) = v3) | ~
% 298.86/67.62 | $i(v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 298.86/67.62 | v1, v2) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0,
% 298.86/67.62 | v3)))
% 298.86/67.62 |
% 298.86/67.62 | ALPHA: (fact_le__mult__natfloor) implies:
% 298.86/67.62 | (122) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 298.86/67.62 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v1 &
% 298.86/67.62 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v2 &
% 298.86/67.62 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v2) &
% 298.86/67.62 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 298.86/67.62 | $i] : ! [v7: $i] : ! [v8: $i] : ( ~ (c_RComplete_Onatfloor(v4)
% 298.86/67.62 | = v5) | ~ (c_RComplete_Onatfloor(v3) = v7) | ~ (hAPP(v6, v7)
% 298.86/67.62 | = v8) | ~ (hAPP(v1, v5) = v6) | ~ $i(v4) | ~ $i(v3) | ~
% 298.86/67.62 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v4) | ~
% 298.86/67.62 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) | ?
% 298.86/67.62 | [v9: $i] : ? [v10: $i] : ? [v11: $i] :
% 298.86/67.62 | (c_RComplete_Onatfloor(v10) = v11 & hAPP(v9, v3) = v10 & hAPP(v2,
% 298.86/67.62 | v4) = v9 & $i(v11) & $i(v10) & $i(v9) &
% 298.86/67.62 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v8, v11))))
% 298.86/67.62 |
% 298.86/67.62 | ALPHA: (fact_natceiling__eq) implies:
% 298.86/67.62 | (123) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) =
% 298.86/67.62 | v1 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v1) &
% 298.86/67.62 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] :
% 298.86/67.62 | (v5 = v4 | ~ (c_RComplete_Onatceiling(v2) = v4) | ~
% 298.86/67.62 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v1) = v5) | ~
% 298.86/67.62 | $i(v3) | ~ $i(v2) | ? [v6: $i] : ? [v7: $i] :
% 298.86/67.62 | (c_RealDef_Oreal(tc_Nat_Onat, v3) = v6 & $i(v6) & ( ~
% 298.86/67.62 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v2) |
% 298.86/67.62 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v6, v0) = v7 &
% 298.86/67.62 | $i(v7) & ~
% 298.86/67.62 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2,
% 298.86/67.62 | v7))))))
% 298.86/67.62 |
% 298.86/67.62 | ALPHA: (fact_real__of__nat__ge__zero) implies:
% 298.86/67.62 | (124) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.86/67.62 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~
% 298.86/67.62 | (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2) | ~ $i(v1) |
% 298.86/67.62 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2)))
% 298.86/67.62 |
% 298.86/67.62 | ALPHA: (fact_not__real__of__nat__less__zero) implies:
% 298.86/67.62 | (125) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.86/67.62 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~
% 298.86/67.62 | (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2) | ~ $i(v1) | ~
% 298.86/67.62 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v0)))
% 298.86/67.62 |
% 298.86/67.62 | ALPHA: (fact_real__of__nat__1) implies:
% 298.86/67.62 | (126) ? [v0: $i] : ? [v1: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v0) = v1 &
% 298.86/67.62 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 &
% 298.86/67.62 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0))
% 298.86/67.62 |
% 298.86/67.62 | ALPHA: (fact_power__real__of__nat) implies:
% 298.86/67.62 | (127) ? [v0: $i] : ? [v1: $i] :
% 298.86/67.62 | (c_Power_Opower__class_Opower(tc_Nat_Onat) = v1 &
% 298.86/67.62 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 & $i(v1) &
% 298.86/67.62 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 298.86/67.62 | [v6: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v3) = v4) | ~
% 298.86/67.62 | (hAPP(v5, v2) = v6) | ~ (hAPP(v0, v4) = v5) | ~ $i(v3) | ~
% 298.86/67.62 | $i(v2) | ? [v7: $i] : ? [v8: $i] :
% 298.86/67.62 | (c_RealDef_Oreal(tc_Nat_Onat, v8) = v6 & hAPP(v7, v2) = v8 &
% 298.86/67.62 | hAPP(v1, v3) = v7 & $i(v8) & $i(v7) & $i(v6))))
% 298.86/67.62 |
% 298.86/67.62 | ALPHA: (fact_real__of__nat__power) implies:
% 298.86/67.62 | (128) ? [v0: $i] : ? [v1: $i] :
% 298.86/67.62 | (c_Power_Opower__class_Opower(tc_Nat_Onat) = v0 &
% 298.86/67.62 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v1 & $i(v1) &
% 298.86/67.62 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 298.86/67.62 | [v6: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v3) = v4) | ~
% 298.86/67.62 | (hAPP(v5, v2) = v6) | ~ (hAPP(v1, v4) = v5) | ~ $i(v3) | ~
% 298.86/67.62 | $i(v2) | ? [v7: $i] : ? [v8: $i] :
% 298.86/67.62 | (c_RealDef_Oreal(tc_Nat_Onat, v8) = v6 & hAPP(v7, v2) = v8 &
% 298.86/67.62 | hAPP(v0, v3) = v7 & $i(v8) & $i(v7) & $i(v6))))
% 298.86/67.62 |
% 298.86/67.62 | ALPHA: (fact_real__of__nat__zero__iff) implies:
% 298.86/67.63 | (129) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 298.86/67.63 | = v1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1)
% 298.86/67.63 | & $i(v0) & ! [v2: $i] : (v2 = v1 | ~
% 298.86/67.63 | (c_RealDef_Oreal(tc_Nat_Onat, v2) = v0) | ~ $i(v2)) & ! [v2:
% 298.86/67.63 | $i] : (v2 = v0 | ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2)))
% 298.86/67.63 |
% 298.86/67.63 | ALPHA: (fact_real__of__nat__zero) implies:
% 298.86/67.63 | (130) ? [v0: $i] : ? [v1: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v0) = v1 &
% 298.86/67.63 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 &
% 298.86/67.63 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v1) &
% 298.86/67.63 | $i(v0))
% 298.86/67.63 |
% 298.86/67.63 | ALPHA: (fact_real__of__nat__mult) implies:
% 298.86/67.63 | (131) ? [v0: $i] : ? [v1: $i] :
% 298.86/67.63 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 298.86/67.63 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 & $i(v1) &
% 298.86/67.63 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 298.86/67.63 | [v6: $i] : ! [v7: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v3) =
% 298.86/67.63 | v4) | ~ (c_RealDef_Oreal(tc_Nat_Onat, v2) = v6) | ~ (hAPP(v5,
% 298.86/67.63 | v6) = v7) | ~ (hAPP(v1, v4) = v5) | ~ $i(v3) | ~ $i(v2) |
% 298.86/67.63 | ? [v8: $i] : ? [v9: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v9) = v7
% 298.86/67.63 | & hAPP(v8, v2) = v9 & hAPP(v0, v3) = v8 & $i(v9) & $i(v8) &
% 298.86/67.63 | $i(v7))))
% 298.86/67.63 |
% 298.86/67.63 | ALPHA: (fact_real__of__nat__le__zero__cancel__iff) implies:
% 298.86/67.63 | (132) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 298.86/67.63 | = v1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1)
% 298.86/67.63 | & $i(v0) & ! [v2: $i] : ! [v3: $i] : (v2 = v1 | ~
% 298.86/67.63 | (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3) | ~ $i(v2) | ~
% 298.86/67.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0)) & !
% 298.86/67.63 | [v2: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2) |
% 298.86/67.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0)))
% 298.86/67.63 |
% 298.86/67.63 | ALPHA: (fact_real__natfloor__le) implies:
% 298.86/67.63 | (133) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.86/67.63 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (c_RComplete_Onatfloor(v1)
% 298.86/67.63 | = v2) | ~ $i(v1) | ~
% 298.86/67.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1) | ?
% 298.86/67.63 | [v3: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3 & $i(v3) &
% 298.86/67.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v1))))
% 298.86/67.63 |
% 298.86/67.63 | ALPHA: (fact_natfloor__power) implies:
% 298.86/67.63 | (134) ? [v0: $i] : ? [v1: $i] :
% 298.86/67.63 | (c_Power_Opower__class_Opower(tc_Nat_Onat) = v1 &
% 298.86/67.63 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 & $i(v1) &
% 298.86/67.63 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : !
% 298.86/67.63 | [v6: $i] : ( ~ (c_RComplete_Onatfloor(v3) = v4) | ~ (hAPP(v5, v2)
% 298.86/67.63 | = v6) | ~ (hAPP(v1, v4) = v5) | ~ $i(v3) | ~ $i(v2) | ?
% 298.86/67.63 | [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ((v10 = v6
% 298.86/67.63 | & c_RComplete_Onatfloor(v9) = v6 & hAPP(v8, v2) = v9 &
% 298.86/67.63 | hAPP(v0, v3) = v8 & $i(v9) & $i(v8) & $i(v6)) | ( ~ (v7 = v3)
% 298.86/67.63 | & c_RealDef_Oreal(tc_Nat_Onat, v4) = v7 & $i(v7)))))
% 298.86/67.63 |
% 298.86/67.63 | ALPHA: (fact_real__of__nat__gt__zero__cancel__iff) implies:
% 298.86/67.63 | (135) ? [v0: $i] : ? [v1: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)
% 298.86/67.63 | = v1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1)
% 298.86/67.63 | & $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~
% 298.86/67.63 | (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3) | ~ $i(v2) | ~
% 298.86/67.63 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2) |
% 298.86/67.63 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3)) & !
% 298.86/67.63 | [v2: $i] : ! [v3: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v2) =
% 298.86/67.63 | v3) | ~ $i(v2) | ~
% 298.86/67.63 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) |
% 298.86/67.63 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2)))
% 298.86/67.63 |
% 298.86/67.63 | ALPHA: (fact_nat__less__real__le) implies:
% 298.86/67.63 | (136) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 298.86/67.63 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (
% 298.86/67.63 | ~ (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3) | ~
% 298.86/67.63 | (c_RealDef_Oreal(tc_Nat_Onat, v1) = v4) | ~ $i(v2) | ~ $i(v1) |
% 298.86/67.63 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ? [v5:
% 298.86/67.63 | $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v0) =
% 298.86/67.63 | v5 & $i(v5) &
% 298.86/67.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v4))) &
% 298.86/67.63 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 298.86/67.63 | (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3) | ~
% 298.86/67.63 | (c_RealDef_Oreal(tc_Nat_Onat, v1) = v4) | ~ $i(v2) | ~ $i(v1) |
% 298.86/67.63 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ? [v5: $i]
% 298.86/67.63 | : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v0) = v5 &
% 298.86/67.63 | $i(v5) & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 298.86/67.63 | v5, v4))))
% 298.86/67.63 |
% 298.86/67.63 | ALPHA: (fact_nat__le__real__less) implies:
% 298.86/67.63 | (137) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 298.86/67.63 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (
% 298.86/67.63 | ~ (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3) | ~
% 298.86/67.63 | (c_RealDef_Oreal(tc_Nat_Onat, v1) = v4) | ~ $i(v2) | ~ $i(v1) |
% 298.86/67.63 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | ?
% 298.86/67.63 | [v5: $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v0)
% 298.86/67.63 | = v5 & $i(v5) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 298.86/67.63 | v3, v5))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4:
% 298.86/67.63 | $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3) | ~
% 298.86/67.63 | (c_RealDef_Oreal(tc_Nat_Onat, v1) = v4) | ~ $i(v2) | ~ $i(v1) |
% 298.86/67.63 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | ? [v5:
% 298.86/67.63 | $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v0) =
% 298.86/67.63 | v5 & $i(v5) & ~
% 298.86/67.63 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v5))))
% 298.86/67.63 |
% 298.86/67.63 | ALPHA: (fact_le__natfloor__eq) implies:
% 298.86/67.63 | (138) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.86/67.63 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (
% 298.86/67.63 | ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) = v4) | ~
% 298.86/67.63 | (c_RComplete_Onatfloor(v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 298.86/67.63 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v3) | ~
% 298.86/67.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) |
% 298.86/67.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v2)) & !
% 298.86/67.63 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 298.86/67.63 | (c_RealDef_Oreal(tc_Nat_Onat, v1) = v4) | ~
% 298.86/67.63 | (c_RComplete_Onatfloor(v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 298.86/67.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v2) | ~
% 298.86/67.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) |
% 298.86/67.63 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v3)))
% 298.86/67.63 |
% 298.86/67.63 | ALPHA: (fact_natceiling__le__eq) implies:
% 298.86/67.63 | (139) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.86/67.63 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (
% 298.86/67.63 | ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) = v4) | ~
% 298.86/67.63 | (c_RComplete_Onatceiling(v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 298.86/67.63 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v1) | ~
% 298.86/67.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) |
% 298.86/67.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v4)) & !
% 298.86/67.63 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 298.86/67.63 | (c_RealDef_Oreal(tc_Nat_Onat, v1) = v4) | ~
% 298.86/67.63 | (c_RComplete_Onatceiling(v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~
% 298.86/67.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v4) | ~
% 298.86/67.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) |
% 298.86/67.63 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v1)))
% 298.86/67.63 |
% 298.86/67.63 | ALPHA: (fact_real__natfloor__add__one__gt) implies:
% 298.86/67.63 | (140) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 298.86/67.63 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (c_RComplete_Onatfloor(v1)
% 298.86/67.63 | = v2) | ~ $i(v1) | ? [v3: $i] : ? [v4: $i] :
% 298.86/67.63 | (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3 &
% 298.86/67.63 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v0) = v4 &
% 298.86/67.63 | $i(v4) & $i(v3) &
% 298.86/67.63 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v4))))
% 298.86/67.63 |
% 298.86/67.63 | ALPHA: (fact_real__natfloor__gt__diff__one) implies:
% 298.86/67.63 | (141) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 298.86/67.63 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~
% 298.86/67.63 | (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v1, v0) = v2) |
% 298.86/67.63 | ~ $i(v1) | ? [v3: $i] : ? [v4: $i] :
% 298.86/67.63 | (c_RealDef_Oreal(tc_Nat_Onat, v3) = v4 &
% 298.86/67.63 | c_RComplete_Onatfloor(v1) = v3 & $i(v4) & $i(v3) &
% 298.86/67.63 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v4))))
% 298.86/67.63 |
% 298.86/67.63 | ALPHA: (fact_less__natfloor) implies:
% 298.86/67.63 | (142) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.86/67.63 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (
% 298.86/67.63 | ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) = v3) | ~
% 298.86/67.63 | (c_RComplete_Onatfloor(v2) = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 298.86/67.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) | ~
% 298.86/67.63 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v3) |
% 298.86/67.63 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v1)))
% 298.86/67.63 |
% 298.86/67.63 | ALPHA: (fact_natfloor__add) implies:
% 298.86/67.63 | (143) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.86/67.63 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (
% 298.86/67.63 | ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) = v3) | ~
% 298.86/67.63 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v3) = v4) | ~
% 298.86/67.63 | $i(v2) | ~ $i(v1) | ~
% 298.86/67.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) | ?
% 298.86/67.63 | [v5: $i] : ? [v6: $i] : (c_RComplete_Onatfloor(v4) = v5 &
% 298.86/67.63 | c_RComplete_Onatfloor(v2) = v6 &
% 298.86/67.63 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v6, v1) = v5 & $i(v6)
% 298.86/67.63 | & $i(v5))))
% 298.86/67.63 |
% 298.86/67.63 | ALPHA: (fact_ge__natfloor__plus__one__imp__gt) implies:
% 298.86/67.63 | (144) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v0) &
% 298.86/67.63 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 298.86/67.63 | (c_RealDef_Oreal(tc_Nat_Onat, v1) = v4) | ~
% 298.86/67.63 | (c_RComplete_Onatfloor(v2) = v3) | ~ $i(v2) | ~ $i(v1) |
% 298.86/67.63 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v4) | ? [v5:
% 298.86/67.63 | $i] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v0) = v5 &
% 298.86/67.63 | $i(v5) & ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5,
% 298.86/67.63 | v1))))
% 298.86/67.63 |
% 298.86/67.63 | ALPHA: (fact_natfloor__eq) implies:
% 298.86/67.63 | (145) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 298.86/67.63 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 298.86/67.63 | (v4 = v2 | ~ (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3) | ~
% 298.86/67.63 | (c_RComplete_Onatfloor(v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 298.86/67.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v1) | ?
% 298.86/67.63 | [v5: $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v0)
% 298.86/67.63 | = v5 & $i(v5) & ~
% 298.86/67.63 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v5))))
% 298.86/67.63 |
% 298.86/67.63 | ALPHA: (fact_natceiling__add) implies:
% 298.86/67.63 | (146) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.86/67.63 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (
% 298.86/67.63 | ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) = v3) | ~
% 298.86/67.63 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v3) = v4) | ~
% 298.86/67.63 | $i(v2) | ~ $i(v1) | ~
% 298.86/67.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) | ?
% 298.86/67.63 | [v5: $i] : ? [v6: $i] : (c_RComplete_Onatceiling(v4) = v5 &
% 298.86/67.63 | c_RComplete_Onatceiling(v2) = v6 &
% 298.86/67.63 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v6, v1) = v5 & $i(v6)
% 298.86/67.63 | & $i(v5))))
% 298.86/67.63 |
% 298.86/67.63 | ALPHA: (fact_LIMSEQ__inverse__realpow__zero__lemma) implies:
% 298.86/67.63 | (147) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 298.86/67.63 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 298.86/67.63 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.86/67.63 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v3 &
% 298.86/67.63 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v2 & $i(v3) & $i(v2)
% 298.86/67.63 | & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 298.86/67.63 | [v7: $i] : ! [v8: $i] : ( ~
% 298.86/67.63 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v2) = v6) | ~
% 298.86/67.63 | (hAPP(v7, v4) = v8) | ~ (hAPP(v3, v6) = v7) | ~ $i(v5) | ~
% 298.86/67.63 | $i(v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 298.86/67.63 | v0, v5) | ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12:
% 298.86/67.63 | $i] : (c_RealDef_Oreal(tc_Nat_Onat, v4) = v9 &
% 298.86/67.63 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v11, v2) = v12 &
% 298.86/67.63 | hAPP(v10, v5) = v11 & hAPP(v1, v9) = v10 & $i(v12) & $i(v11) &
% 298.86/67.63 | $i(v10) & $i(v9) &
% 298.86/67.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v12, v8))))
% 298.86/67.63 |
% 298.86/67.63 | ALPHA: (fact_reals__Archimedean6) implies:
% 298.86/67.63 | (148) ? [v0: $i] : ? [v1: $i] :
% 298.86/67.63 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.86/67.63 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v1) & $i(v0) & !
% 298.86/67.63 | [v2: $i] : ( ~ $i(v2) | ~
% 298.86/67.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v2) | ?
% 298.86/67.63 | [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 298.86/67.63 | (c_RealDef_Oreal(tc_Nat_Onat, v4) = v5 &
% 298.86/67.63 | c_RealDef_Oreal(tc_Nat_Onat, v3) = v6 &
% 298.86/67.63 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v1) = v4 &
% 298.86/67.63 | $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 298.86/67.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v2) &
% 298.86/67.63 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v6))))
% 298.86/67.63 |
% 298.86/67.63 | ALPHA: (fact_poly__cont) implies:
% 298.86/67.63 | (149) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.86/67.63 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 298.86/67.63 | [v5: $i] : ( ~ (c_Polynomial_Opoly(tc_Complex_Ocomplex, v1) = v4) |
% 298.86/67.63 | ~ (hAPP(v4, v2) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 298.86/67.63 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) | ? [v6:
% 298.86/67.63 | $i] : ($i(v6) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 298.86/67.63 | v0, v6) & ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~
% 298.86/67.63 | (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v8, v5) =
% 298.86/67.63 | v9) | ~ (hAPP(v4, v7) = v8) | ~ $i(v7) | ? [v10: $i] :
% 298.86/67.63 | ? [v11: $i] : ? [v12: $i] :
% 298.86/67.63 | ((c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v7, v2)
% 298.86/67.63 | = v10 &
% 298.86/67.63 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v10)
% 298.86/67.63 | = v11 & $i(v11) & $i(v10) & ( ~
% 298.86/67.63 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11,
% 298.86/67.63 | v6) | ~
% 298.86/67.63 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 298.86/67.63 | v11))) |
% 298.86/67.63 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v9) =
% 298.86/67.63 | v12 & $i(v12) &
% 298.86/67.63 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12,
% 298.86/67.63 | v3)))))))
% 298.86/67.63 |
% 298.86/67.63 | ALPHA: (fact_of__real_Obounded) implies:
% 298.86/67.63 | (150) ? [v0: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 298.86/67.63 | $i(v0) & ! [v1: $i] : ( ~ $i(v1) | ~
% 298.86/67.63 | class_RealVector_Oreal__algebra__1(v1) | ~
% 298.86/67.63 | class_RealVector_Oreal__normed__vector(v1) | ? [v2: $i] :
% 298.86/67.63 | ($i(v2) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] :
% 298.86/67.63 | ( ~ (c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal, v3) =
% 298.86/67.63 | v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v0, v4) = v5) | ~
% 298.86/67.63 | $i(v3) | ? [v7: $i] : ? [v8: $i] :
% 298.86/67.63 | (c_RealVector_Oof__real(v1, v3) = v7 &
% 298.86/67.63 | c_RealVector_Onorm__class_Onorm(v1, v7) = v8 & $i(v8) &
% 298.86/67.63 | $i(v7) &
% 298.86/67.63 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v8,
% 298.86/67.63 | v6))))))
% 298.86/67.63 |
% 298.86/67.63 | ALPHA: (fact_norm__sgn) implies:
% 298.86/67.63 | (151) ? [v0: $i] : ? [v1: $i] :
% 298.86/67.63 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 298.86/67.63 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0)
% 298.86/67.63 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 298.86/67.63 | (c_Groups_Osgn__class_Osgn(v3, v2) = v4) | ~
% 298.86/67.63 | (c_RealVector_Onorm__class_Onorm(v3, v4) = v5) | ~ $i(v3) | ~
% 298.86/67.63 | $i(v2) | ~ class_RealVector_Oreal__normed__vector(v3) | ? [v6:
% 298.86/67.63 | $i] : ((v5 = v1 | (v6 = v2 & c_Groups_Ozero__class_Ozero(v3) =
% 298.86/67.63 | v2)) & (v5 = v0 | ( ~ (v6 = v2) &
% 298.86/67.63 | c_Groups_Ozero__class_Ozero(v3) = v6 & $i(v6))))))
% 298.86/67.63 |
% 298.86/67.63 | ALPHA: (arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero)
% 298.86/67.63 | implies:
% 298.86/67.63 | (152) class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal)
% 298.86/67.63 |
% 298.86/67.63 | ALPHA: (arity_RealDef__Oreal__Rings_Olinordered__semiring__strict) implies:
% 298.86/67.63 | (153) class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal)
% 298.86/67.63 |
% 298.86/67.63 | ALPHA: (arity_RealDef__Oreal__Rings_Odivision__ring__inverse__zero) implies:
% 298.86/67.63 | (154) class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal)
% 298.86/67.63 |
% 298.86/67.63 | ALPHA: (arity_RealDef__Oreal__Groups_Oordered__ab__group__add__abs) implies:
% 298.86/67.63 | (155) class_Groups_Oordered__ab__group__add__abs(tc_RealDef_Oreal)
% 298.86/67.63 |
% 298.86/67.63 | ALPHA: (arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add) implies:
% 298.86/67.63 | (156) class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal)
% 298.86/67.63 |
% 298.86/67.63 | ALPHA: (arity_RealDef__Oreal__Groups_Olinordered__ab__group__add) implies:
% 298.86/67.63 | (157) class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal)
% 298.86/67.63 |
% 298.86/67.63 | ALPHA: (arity_RealDef__Oreal__Rings_Oring__1__no__zero__divisors) implies:
% 298.86/67.63 | (158) class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal)
% 298.86/67.63 |
% 298.86/67.63 | ALPHA: (arity_RealDef__Oreal__Rings_Oordered__cancel__semiring) implies:
% 298.86/67.63 | (159) class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal)
% 298.86/67.63 |
% 298.86/67.63 | ALPHA: (arity_RealDef__Oreal__Rings_Olinordered__ring__strict) implies:
% 298.86/67.63 | (160) class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal)
% 298.86/67.63 |
% 298.86/67.63 | ALPHA: (arity_RealDef__Oreal__Rings_Oring__no__zero__divisors) implies:
% 298.86/67.63 | (161) class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal)
% 298.86/67.63 |
% 298.86/67.63 | ALPHA: (arity_RealDef__Oreal__Groups_Oordered__ab__group__add) implies:
% 298.86/67.63 | (162) class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal)
% 298.86/67.63 |
% 298.86/67.63 | ALPHA: (arity_RealDef__Oreal__Rings_Olinordered__semidom) implies:
% 298.86/67.63 | (163) class_Rings_Olinordered__semidom(tc_RealDef_Oreal)
% 298.86/67.63 |
% 298.86/67.63 | ALPHA: (arity_RealDef__Oreal__Fields_Olinordered__field) implies:
% 298.86/67.63 | (164) class_Fields_Olinordered__field(tc_RealDef_Oreal)
% 298.86/67.63 |
% 298.86/67.63 | ALPHA: (arity_RealDef__Oreal__Rings_Ono__zero__divisors) implies:
% 298.86/67.63 | (165) class_Rings_Ono__zero__divisors(tc_RealDef_Oreal)
% 298.86/67.63 |
% 298.86/67.63 | ALPHA: (arity_RealDef__Oreal__Rings_Odivision__ring) implies:
% 298.86/67.63 | (166) class_Rings_Odivision__ring(tc_RealDef_Oreal)
% 298.86/67.63 |
% 298.86/67.63 | ALPHA: (arity_RealDef__Oreal__Rings_Ozero__neq__one) implies:
% 298.86/67.63 | (167) class_Rings_Ozero__neq__one(tc_RealDef_Oreal)
% 298.86/67.64 |
% 298.86/67.64 | ALPHA: (arity_RealDef__Oreal__Rings_Oordered__ring) implies:
% 298.86/67.64 | (168) class_Rings_Oordered__ring(tc_RealDef_Oreal)
% 298.86/67.64 |
% 298.86/67.64 | ALPHA: (arity_RealDef__Oreal__Groups_Omonoid__mult) implies:
% 298.86/67.64 | (169) class_Groups_Omonoid__mult(tc_RealDef_Oreal)
% 298.86/67.64 |
% 298.86/67.64 | ALPHA: (arity_RealDef__Oreal__Groups_Ogroup__add) implies:
% 298.86/67.64 | (170) class_Groups_Ogroup__add(tc_RealDef_Oreal)
% 298.86/67.64 |
% 298.86/67.64 | ALPHA: (arity_RealDef__Oreal__Rings_Omult__zero) implies:
% 298.86/67.64 | (171) class_Rings_Omult__zero(tc_RealDef_Oreal)
% 298.86/67.64 |
% 298.86/67.64 | ALPHA: (arity_RealDef__Oreal__Power_Opower) implies:
% 298.86/67.64 | (172) class_Power_Opower(tc_RealDef_Oreal)
% 298.86/67.64 |
% 298.86/67.64 | ALPHA: (arity_Complex__Ocomplex__RealVector_Oreal__normed__vector) implies:
% 298.86/67.64 | (173) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)
% 298.86/67.64 |
% 298.86/67.64 | ALPHA: (conj_0) implies:
% 298.86/67.64 | (174) $i(tc_RealDef_Oreal)
% 298.86/67.64 | (175) $i(v_t____)
% 298.86/67.64 | (176) $i(v_k____)
% 298.86/67.64 | (177) $i(tc_Complex_Ocomplex)
% 298.86/67.64 | (178) $i(v_w____)
% 298.86/67.64 | (179) $i(v_m____)
% 298.86/67.64 | (180) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 298.86/67.64 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 298.86/67.64 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 298.86/67.64 | $i] : ? [v15: $i] : ? [v16: $i] :
% 298.86/67.64 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 298.86/67.64 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v6
% 298.86/67.64 | & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, v8) = v9 &
% 298.86/67.64 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v1 &
% 298.86/67.64 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v8 &
% 298.86/67.64 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v15 & hAPP(v11,
% 298.86/67.64 | v_m____) = v12 & hAPP(v7, v9) = v10 & hAPP(v5, v12) = v13 &
% 298.86/67.64 | hAPP(v4, v15) = v16 & hAPP(v4, v13) = v14 & hAPP(v2, v_k____) = v3
% 298.86/67.64 | & hAPP(v1, v6) = v7 & hAPP(v1, v_t____) = v2 & hAPP(v0, v10) = v11
% 298.86/67.64 | & hAPP(v0, v3) = v4 & hAPP(v0, v_t____) = v5 & $i(v16) & $i(v15) &
% 298.86/67.64 | $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) &
% 298.86/67.64 | $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 298.86/67.64 | $i(v0) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v14,
% 298.86/67.64 | v16))
% 298.86/67.64 |
% 298.86/67.64 | ALPHA: (function-axioms) implies:
% 298.86/67.64 | (181) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 298.86/67.64 | (c_Groups_Oone__class_Oone(v2) = v1) | ~
% 298.86/67.64 | (c_Groups_Oone__class_Oone(v2) = v0))
% 298.86/67.64 | (182) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 298.86/67.64 | (c_Power_Opower__class_Opower(v2) = v1) | ~
% 298.86/67.64 | (c_Power_Opower__class_Opower(v2) = v0))
% 298.86/67.64 | (183) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 298.86/67.64 | (c_Groups_Ozero__class_Ozero(v2) = v1) | ~
% 298.86/67.64 | (c_Groups_Ozero__class_Ozero(v2) = v0))
% 298.86/67.64 | (184) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 298.86/67.64 | (c_Groups_Otimes__class_Otimes(v2) = v1) | ~
% 298.86/67.64 | (c_Groups_Otimes__class_Otimes(v2) = v0))
% 298.86/67.64 | (185) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 298.86/67.64 | (hAPP(v3, v2) = v1) | ~ (hAPP(v3, v2) = v0))
% 298.86/67.64 | (186) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 298.86/67.64 | (c_RealVector_Onorm__class_Onorm(v3, v2) = v1) | ~
% 298.86/67.64 | (c_RealVector_Onorm__class_Onorm(v3, v2) = v0))
% 298.86/67.64 | (187) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 298.86/67.64 | (c_Rings_Oinverse__class_Oinverse(v3, v2) = v1) | ~
% 298.86/67.64 | (c_Rings_Oinverse__class_Oinverse(v3, v2) = v0))
% 298.86/67.64 | (188) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 298.86/67.64 | (c_RealVector_Oof__real(v3, v2) = v1) | ~
% 298.86/67.64 | (c_RealVector_Oof__real(v3, v2) = v0))
% 298.86/67.64 | (189) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 298.86/67.64 | (c_Polynomial_Opoly(v3, v2) = v1) | ~ (c_Polynomial_Opoly(v3, v2)
% 298.86/67.64 | = v0))
% 298.86/67.64 | (190) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 298.86/67.64 | (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(v4, v3, v2) = v1) | ~
% 298.86/67.64 | (c_Groups_Oplus__class_Oplus(v4, v3, v2) = v0))
% 298.86/67.64 | (191) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 298.86/67.64 | (v1 = v0 | ~ (c_Groups_Ominus__class_Ominus(v4, v3, v2) = v1) | ~
% 298.86/67.64 | (c_Groups_Ominus__class_Ominus(v4, v3, v2) = v0))
% 298.86/67.64 |
% 298.86/67.64 | DELTA: instantiating (1) with fresh symbol all_735_0 gives:
% 298.86/67.64 | (192) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_735_0 &
% 298.86/67.64 | $i(all_735_0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 298.86/67.64 | v_t____, all_735_0)
% 298.86/67.64 |
% 298.86/67.64 | ALPHA: (192) implies:
% 298.86/67.64 | (193) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_735_0
% 298.86/67.64 |
% 298.86/67.64 | DELTA: instantiating (42) with fresh symbol all_737_0 gives:
% 298.86/67.64 | (194) c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, all_737_0) =
% 298.86/67.64 | all_737_0 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_737_0
% 298.86/67.64 | & $i(all_737_0)
% 298.86/67.64 |
% 298.86/67.64 | ALPHA: (194) implies:
% 298.86/67.64 | (195) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_737_0
% 298.86/67.64 |
% 298.86/67.64 | DELTA: instantiating (5) with fresh symbol all_745_0 gives:
% 298.86/67.64 | (196) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_745_0 &
% 298.86/67.64 | $i(all_745_0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 298.86/67.64 | all_745_0, v_m____)
% 298.86/67.64 |
% 298.86/67.64 | ALPHA: (196) implies:
% 298.86/67.64 | (197) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_745_0
% 298.86/67.64 |
% 298.86/67.64 | DELTA: instantiating (4) with fresh symbol all_747_0 gives:
% 298.86/67.64 | (198) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_747_0 &
% 298.86/67.64 | $i(all_747_0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 298.86/67.64 | all_747_0, v_t____)
% 298.86/67.64 |
% 298.86/67.64 | ALPHA: (198) implies:
% 298.86/67.64 | (199) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_747_0
% 298.86/67.64 |
% 298.86/67.64 | DELTA: instantiating (130) with fresh symbols all_788_0, all_788_1 gives:
% 298.86/67.64 | (200) c_RealDef_Oreal(tc_Nat_Onat, all_788_1) = all_788_0 &
% 298.86/67.64 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_788_1 &
% 298.86/67.64 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_788_0 &
% 298.86/67.64 | $i(all_788_0) & $i(all_788_1)
% 298.86/67.64 |
% 298.86/67.64 | ALPHA: (200) implies:
% 298.86/67.64 | (201) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_788_0
% 298.86/67.64 |
% 298.86/67.64 | DELTA: instantiating (125) with fresh symbol all_792_0 gives:
% 298.86/67.64 | (202) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_792_0 &
% 298.86/67.64 | $i(all_792_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 298.86/67.64 | (c_RealDef_Oreal(tc_Nat_Onat, v0) = v1) | ~ $i(v0) | ~
% 298.86/67.64 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_792_0))
% 298.86/67.64 |
% 298.86/67.64 | ALPHA: (202) implies:
% 298.86/67.64 | (203) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_792_0
% 298.86/67.64 |
% 298.86/67.64 | DELTA: instantiating (126) with fresh symbols all_808_0, all_808_1 gives:
% 298.86/67.64 | (204) c_RealDef_Oreal(tc_Nat_Onat, all_808_1) = all_808_0 &
% 298.86/67.64 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_808_1 &
% 298.86/67.64 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_808_0 &
% 298.86/67.64 | $i(all_808_0) & $i(all_808_1)
% 298.86/67.64 |
% 298.86/67.64 | ALPHA: (204) implies:
% 298.86/67.64 | (205) $i(all_808_0)
% 298.86/67.64 | (206) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_808_0
% 298.86/67.64 | (207) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_808_1
% 298.86/67.64 |
% 298.86/67.64 | DELTA: instantiating (109) with fresh symbols all_815_0, all_815_1 gives:
% 298.86/67.64 | (208) c_RComplete_Onatceiling(all_815_1) = all_815_0 &
% 298.86/67.64 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_815_0 &
% 298.86/67.64 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_815_1 &
% 298.86/67.64 | $i(all_815_0) & $i(all_815_1)
% 298.86/67.64 |
% 298.86/67.64 | ALPHA: (208) implies:
% 298.86/67.64 | (209) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_815_1
% 298.86/67.64 |
% 298.86/67.64 | DELTA: instantiating (124) with fresh symbol all_825_0 gives:
% 298.86/67.64 | (210) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_825_0 &
% 298.86/67.64 | $i(all_825_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 298.86/67.64 | (c_RealDef_Oreal(tc_Nat_Onat, v0) = v1) | ~ $i(v0) |
% 298.86/67.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_825_0, v1))
% 298.86/67.64 |
% 298.86/67.64 | ALPHA: (210) implies:
% 298.86/67.64 | (211) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_825_0
% 298.86/67.64 |
% 298.86/67.64 | DELTA: instantiating (119) with fresh symbols all_828_0, all_828_1 gives:
% 298.86/67.64 | (212) c_RComplete_Onatfloor(all_828_1) = all_828_0 &
% 298.86/67.64 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_828_0 &
% 298.86/67.64 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_828_1 &
% 298.86/67.64 | $i(all_828_0) & $i(all_828_1)
% 298.86/67.64 |
% 298.86/67.64 | ALPHA: (212) implies:
% 298.86/67.64 | (213) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_828_1
% 298.86/67.64 | (214) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_828_0
% 298.86/67.64 |
% 298.86/67.64 | DELTA: instantiating (118) with fresh symbols all_841_0, all_841_1 gives:
% 298.86/67.64 | (215) c_RComplete_Onatfloor(all_841_1) = all_841_0 &
% 298.86/67.64 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_841_0 &
% 298.86/67.64 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_841_1 &
% 298.86/67.64 | $i(all_841_0) & $i(all_841_1)
% 298.86/67.64 |
% 298.86/67.64 | ALPHA: (215) implies:
% 298.86/67.64 | (216) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_841_1
% 298.86/67.64 |
% 298.86/67.64 | DELTA: instantiating (108) with fresh symbols all_845_0, all_845_1 gives:
% 298.86/67.64 | (217) c_RComplete_Onatceiling(all_845_1) = all_845_0 &
% 298.86/67.64 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_845_0 &
% 298.86/67.64 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_845_1 &
% 298.86/67.64 | $i(all_845_0) & $i(all_845_1)
% 298.86/67.64 |
% 298.86/67.64 | ALPHA: (217) implies:
% 298.86/67.64 | (218) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_845_1
% 298.86/67.64 |
% 298.86/67.64 | DELTA: instantiating (39) with fresh symbols all_848_0, all_848_1 gives:
% 298.86/67.64 | (219) ~ (all_848_0 = all_848_1) &
% 298.86/67.64 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_848_1 &
% 298.86/67.64 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_848_0 &
% 298.86/67.64 | $i(all_848_0) & $i(all_848_1)
% 298.86/67.64 |
% 298.86/67.64 | ALPHA: (219) implies:
% 298.86/67.64 | (220) ~ (all_848_0 = all_848_1)
% 298.86/67.64 | (221) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_848_0
% 298.86/67.64 | (222) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_848_1
% 298.86/67.64 |
% 298.86/67.64 | DELTA: instantiating (34) with fresh symbols all_878_0, all_878_1 gives:
% 298.86/67.64 | (223) c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_878_1 &
% 298.86/67.64 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_878_0 & $i(all_878_0) &
% 298.86/67.64 | $i(all_878_1) & ! [v0: $i] : ! [v1: $i] : ( ~ (hAPP(all_878_1, v0)
% 298.86/67.64 | = v1) | ~ $i(v0) | hAPP(v1, all_878_0) = v0)
% 298.86/67.64 |
% 298.86/67.64 | ALPHA: (223) implies:
% 298.86/67.64 | (224) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_878_0
% 298.86/67.64 |
% 298.86/67.64 | DELTA: instantiating (14) with fresh symbol all_881_0 gives:
% 298.86/67.64 | (225) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_881_0 &
% 298.86/67.64 | $i(all_881_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 =
% 298.86/67.64 | all_881_0 | ~ (c_RealVector_Onorm__class_Onorm(v0, v1) = v2) | ~
% 298.86/67.64 | (c_Groups_Ozero__class_Ozero(v0) = v1) | ~ $i(v0) | ~
% 298.86/67.64 | class_RealVector_Oreal__normed__vector(v0))
% 298.86/67.64 |
% 298.86/67.64 | ALPHA: (225) implies:
% 298.86/67.64 | (226) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_881_0
% 298.86/67.64 |
% 298.86/67.64 | DELTA: instantiating (96) with fresh symbols all_891_0, all_891_1, all_891_2
% 298.86/67.64 | gives:
% 298.86/67.64 | (227) c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 298.86/67.64 | v_pa____) = all_891_0 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat,
% 298.86/67.64 | v_k____, all_891_2) = all_891_1 &
% 298.86/67.64 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_891_2 & $i(all_891_0) &
% 298.86/67.64 | $i(all_891_1) & $i(all_891_2) &
% 298.86/67.64 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_891_1, all_891_0)
% 298.86/67.64 |
% 298.86/67.64 | ALPHA: (227) implies:
% 298.86/67.64 | (228) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_891_2
% 298.86/67.64 | (229) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_891_2) =
% 298.86/67.64 | all_891_1
% 298.86/67.64 |
% 298.86/67.64 | DELTA: instantiating (92) with fresh symbol all_898_0 gives:
% 298.86/67.64 | (230) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_898_0 &
% 298.86/67.64 | $i(all_898_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 298.86/67.64 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v0) = v1) | ~ $i(v0)
% 298.86/67.64 | | ? [v2: $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1,
% 298.86/67.64 | all_898_0) = v2 & $i(v2) & ~
% 298.86/67.64 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v0)))
% 298.86/67.64 |
% 298.86/67.64 | ALPHA: (230) implies:
% 298.86/67.64 | (231) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_898_0
% 298.86/67.64 |
% 298.86/67.64 | DELTA: instantiating (95) with fresh symbols all_908_0, all_908_1, all_908_2
% 298.86/67.64 | gives:
% 298.86/67.64 | (232) ~ (all_908_0 = all_908_2) &
% 298.86/67.64 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 298.86/67.64 | v_pa____) = all_908_2 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat,
% 298.86/67.64 | v_k____, all_908_1) = all_908_0 &
% 298.86/67.64 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_908_1 & $i(all_908_0) &
% 298.86/67.64 | $i(all_908_1) & $i(all_908_2)
% 298.86/67.64 |
% 298.86/67.64 | ALPHA: (232) implies:
% 298.86/67.64 | (233) $i(all_908_0)
% 298.86/67.64 | (234) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_908_1
% 298.86/67.64 | (235) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_908_1) =
% 298.86/67.64 | all_908_0
% 298.86/67.64 |
% 298.86/67.64 | DELTA: instantiating (19) with fresh symbol all_913_0 gives:
% 298.86/67.65 | (236) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_913_0 &
% 298.86/67.65 | $i(all_913_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 298.86/67.65 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~
% 298.86/67.65 | $i(v0) | ~ class_RealVector_Oreal__normed__vector(v1) | ~
% 298.86/67.65 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, all_913_0))
% 298.86/67.65 |
% 298.86/67.65 | ALPHA: (236) implies:
% 298.86/67.65 | (237) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_913_0
% 298.86/67.65 |
% 298.86/67.65 | DELTA: instantiating (58) with fresh symbol all_920_0 gives:
% 298.86/67.65 | (238) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_920_0 &
% 298.86/67.65 | $i(all_920_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 298.86/67.65 | (c_RealVector_Oof__real(v0, all_920_0) = v1) | ~ $i(v0) | ~
% 298.86/67.65 | class_RealVector_Oreal__algebra__1(v0) |
% 298.86/67.65 | (c_Groups_Ozero__class_Ozero(v0) = v1 & $i(v1)))
% 298.86/67.65 |
% 298.86/67.65 | ALPHA: (238) implies:
% 298.86/67.65 | (239) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_920_0
% 298.86/67.65 |
% 298.86/67.65 | DELTA: instantiating (10) with fresh symbol all_927_0 gives:
% 298.86/67.65 | (240) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_927_0 &
% 298.86/67.65 | $i(all_927_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 =
% 298.86/67.65 | all_927_0 | ~ (c_RealVector_Onorm__class_Onorm(v0, v1) = v2) | ~
% 298.86/67.65 | (c_Groups_Oone__class_Oone(v0) = v1) | ~ $i(v0) | ~
% 298.86/67.65 | class_RealVector_Oreal__normed__algebra__1(v0))
% 298.86/67.65 |
% 298.86/67.65 | ALPHA: (240) implies:
% 298.86/67.65 | (241) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_927_0
% 298.86/67.65 |
% 298.86/67.65 | DELTA: instantiating (60) with fresh symbol all_936_0 gives:
% 298.86/67.65 | (242) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_936_0 &
% 298.86/67.65 | $i(all_936_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 298.86/67.65 | (c_RealVector_Oof__real(v0, all_936_0) = v1) | ~ $i(v0) | ~
% 298.86/67.65 | class_RealVector_Oreal__algebra__1(v0) |
% 298.86/67.65 | (c_Groups_Oone__class_Oone(v0) = v1 & $i(v1)))
% 298.86/67.65 |
% 298.86/67.65 | ALPHA: (242) implies:
% 298.86/67.65 | (243) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_936_0
% 298.86/67.65 |
% 298.86/67.65 | DELTA: instantiating (13) with fresh symbol all_942_0 gives:
% 298.86/67.65 | (244) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_942_0 &
% 298.86/67.65 | $i(all_942_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 298.86/67.65 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~
% 298.86/67.65 | $i(v0) | ~ class_RealVector_Oreal__normed__vector(v1) |
% 298.86/67.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_942_0, v2))
% 298.86/67.65 |
% 298.86/67.65 | ALPHA: (244) implies:
% 298.86/67.65 | (245) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_942_0
% 298.86/67.65 |
% 298.86/67.65 | DELTA: instantiating (120) with fresh symbols all_945_0, all_945_1 gives:
% 298.86/67.65 | (246) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_945_0 &
% 298.86/67.65 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_945_1 &
% 298.86/67.65 | $i(all_945_0) & $i(all_945_1) & ! [v0: $i] : ! [v1: int] : (v1 =
% 298.86/67.65 | all_945_0 | ~ (c_RComplete_Onatfloor(v0) = v1) | ~ $i(v0) | ~
% 298.86/67.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, all_945_1))
% 298.86/67.65 |
% 298.86/67.65 | ALPHA: (246) implies:
% 298.86/67.65 | (247) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_945_1
% 298.86/67.65 |
% 298.86/67.65 | DELTA: instantiating (57) with fresh symbol all_960_0 gives:
% 298.86/67.65 | (248) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_960_0 &
% 298.86/67.65 | $i(all_960_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 298.86/67.65 | (c_RealVector_Oof__real(v0, all_960_0) = v1) | ~ $i(v0) | ~
% 298.86/67.65 | class_RealVector_Oreal__algebra__1(v0) | ~
% 298.86/67.65 | class_RealVector_Oreal__normed__vector(v0) |
% 298.86/67.65 | (c_Groups_Ozero__class_Ozero(v0) = v1 & $i(v1)))
% 298.86/67.65 |
% 298.86/67.65 | ALPHA: (248) implies:
% 298.86/67.65 | (249) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_960_0
% 298.86/67.65 |
% 298.86/67.65 | DELTA: instantiating (22) with fresh symbol all_963_0 gives:
% 298.86/67.65 | (250) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_963_0 & $i(all_963_0) &
% 298.86/67.65 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 298.86/67.65 | (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v2, v0) = v3) |
% 298.86/67.65 | ~ $i(v1) | ~ $i(v0) | ~ class_Rings_Ocomm__semiring__1(v1) |
% 298.86/67.65 | hAPP(v3, all_963_0) = v0)
% 298.86/67.65 |
% 298.86/67.65 | ALPHA: (250) implies:
% 298.86/67.65 | (251) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_963_0
% 298.86/67.65 |
% 298.86/67.65 | DELTA: instantiating (133) with fresh symbol all_966_0 gives:
% 298.86/67.65 | (252) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_966_0 &
% 298.86/67.65 | $i(all_966_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 298.86/67.65 | (c_RComplete_Onatfloor(v0) = v1) | ~ $i(v0) | ~
% 298.86/67.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_966_0, v0)
% 298.86/67.65 | | ? [v2: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2 & $i(v2) &
% 298.86/67.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0)))
% 298.86/67.65 |
% 298.86/67.65 | ALPHA: (252) implies:
% 298.86/67.65 | (253) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_966_0
% 298.86/67.65 |
% 298.86/67.65 | DELTA: instantiating (110) with fresh symbols all_969_0, all_969_1 gives:
% 298.86/67.65 | (254) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_969_0 &
% 298.86/67.65 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_969_1 &
% 298.86/67.65 | $i(all_969_0) & $i(all_969_1) & ! [v0: $i] : ! [v1: int] : (v1 =
% 298.86/67.65 | all_969_0 | ~ (c_RComplete_Onatceiling(v0) = v1) | ~ $i(v0) | ~
% 298.86/67.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, all_969_1))
% 298.86/67.65 |
% 298.86/67.65 | ALPHA: (254) implies:
% 298.86/67.65 | (255) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_969_1
% 298.86/67.65 |
% 298.86/67.65 | DELTA: instantiating (23) with fresh symbol all_972_0 gives:
% 298.86/67.65 | (256) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_972_0 & $i(all_972_0) &
% 298.86/67.65 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 298.86/67.65 | (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v2, v0) = v3) |
% 298.86/67.65 | ~ $i(v1) | ~ $i(v0) | ~ class_Groups_Omonoid__mult(v1) | hAPP(v3,
% 298.86/67.65 | all_972_0) = v0)
% 298.86/67.65 |
% 298.86/67.65 | ALPHA: (256) implies:
% 298.86/67.65 | (257) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_972_0
% 298.86/67.65 |
% 298.86/67.65 | DELTA: instantiating (93) with fresh symbols all_975_0, all_975_1 gives:
% 298.86/67.65 | (258) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_975_1 &
% 298.86/67.65 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_975_0 &
% 298.86/67.65 | $i(all_975_0) & $i(all_975_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 298.86/67.65 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v0) = v1) | ~ $i(v0)
% 298.86/67.65 | | ? [v2: $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,
% 298.86/67.65 | all_975_0, v1) = v2 & $i(v2) &
% 298.86/67.65 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_975_1, v2)))
% 298.86/67.65 |
% 298.86/67.65 | ALPHA: (258) implies:
% 298.86/67.65 | (259) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_975_0
% 298.86/67.65 | (260) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_975_1
% 298.86/67.65 |
% 298.86/67.65 | DELTA: instantiating (76) with fresh symbols all_978_0, all_978_1, all_978_2,
% 298.86/67.65 | all_978_3 gives:
% 298.86/67.65 | (261) c_RealVector_Oof__real(tc_Complex_Ocomplex, all_978_2) = all_978_1 &
% 298.86/67.65 | c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, all_978_0) =
% 298.86/67.65 | all_978_1 & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 298.86/67.65 | all_978_3) = all_978_2 &
% 298.86/67.65 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_978_0 &
% 298.86/67.65 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_978_3 &
% 298.86/67.65 | $i(all_978_0) & $i(all_978_1) & $i(all_978_2) & $i(all_978_3)
% 298.86/67.65 |
% 298.86/67.65 | ALPHA: (261) implies:
% 298.86/67.65 | (262) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_978_3
% 298.86/67.65 | (263) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, all_978_3) =
% 298.86/67.65 | all_978_2
% 298.86/67.65 |
% 298.86/67.65 | DELTA: instantiating (40) with fresh symbols all_980_0, all_980_1, all_980_2
% 298.86/67.65 | gives:
% 298.86/67.65 | (264) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_980_2 &
% 298.86/67.65 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_980_1 &
% 298.86/67.65 | hAPP(all_980_2, all_980_1) = all_980_0 & $i(all_980_0) &
% 298.86/67.65 | $i(all_980_1) & $i(all_980_2) & ! [v0: $i] : ! [v1: $i] : (v1 = v0
% 298.86/67.65 | | ~ (hAPP(all_980_0, v0) = v1) | ~ $i(v0))
% 298.86/67.65 |
% 298.86/67.65 | ALPHA: (264) implies:
% 298.86/67.65 | (265) hAPP(all_980_2, all_980_1) = all_980_0
% 298.86/67.65 | (266) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_980_1
% 298.86/67.65 | (267) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_980_2
% 298.86/67.65 |
% 298.86/67.65 | DELTA: instantiating (141) with fresh symbol all_983_0 gives:
% 298.86/67.65 | (268) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_983_0 &
% 298.86/67.65 | $i(all_983_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 298.86/67.65 | (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v0, all_983_0) =
% 298.86/67.65 | v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: $i] :
% 298.86/67.65 | (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3 & c_RComplete_Onatfloor(v0)
% 298.86/67.65 | = v2 & $i(v3) & $i(v2) &
% 298.86/67.65 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v3)))
% 298.86/67.65 |
% 298.86/67.65 | ALPHA: (268) implies:
% 298.86/67.65 | (269) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_983_0
% 298.86/67.65 |
% 298.86/67.65 | DELTA: instantiating (32) with fresh symbols all_986_0, all_986_1, all_986_2
% 298.86/67.65 | gives:
% 298.86/67.65 | (270) c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_986_2 &
% 298.86/67.65 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_986_1 & hAPP(all_986_2,
% 298.86/67.65 | all_986_1) = all_986_0 & $i(all_986_0) & $i(all_986_1) &
% 298.86/67.65 | $i(all_986_2) & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~
% 298.86/67.65 | (hAPP(all_986_0, v0) = v1) | ~ $i(v0))
% 298.86/67.65 |
% 298.86/67.65 | ALPHA: (270) implies:
% 298.86/67.65 | (271) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_986_1
% 298.86/67.65 |
% 298.86/67.65 | DELTA: instantiating (142) with fresh symbol all_989_0 gives:
% 298.86/67.65 | (272) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_989_0 &
% 298.86/67.65 | $i(all_989_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i]
% 298.86/67.65 | : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v0) = v2) | ~
% 298.86/67.65 | (c_RComplete_Onatfloor(v1) = v3) | ~ $i(v1) | ~ $i(v0) | ~
% 298.86/67.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_989_0, v1)
% 298.86/67.65 | | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v2) |
% 298.86/67.65 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v0))
% 298.86/67.65 |
% 298.86/67.65 | ALPHA: (272) implies:
% 298.86/67.65 | (273) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_989_0
% 298.86/67.65 |
% 298.86/67.65 | DELTA: instantiating (129) with fresh symbols all_1001_0, all_1001_1 gives:
% 298.86/67.65 | (274) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1001_0 &
% 298.86/67.65 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1001_1 &
% 298.86/67.65 | $i(all_1001_0) & $i(all_1001_1) & ! [v0: any] : (v0 = all_1001_0 |
% 298.86/67.65 | ~ (c_RealDef_Oreal(tc_Nat_Onat, v0) = all_1001_1) | ~ $i(v0)) & !
% 298.86/67.65 | [v0: int] : (v0 = all_1001_1 | ~ (c_RealDef_Oreal(tc_Nat_Onat,
% 298.86/67.65 | all_1001_0) = v0))
% 298.86/67.65 |
% 298.86/67.65 | ALPHA: (274) implies:
% 298.86/67.65 | (275) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1001_1
% 298.86/67.65 |
% 298.86/67.65 | DELTA: instantiating (2) with fresh symbols all_1007_0, all_1007_1,
% 298.86/67.65 | all_1007_2, all_1007_3 gives:
% 298.86/67.65 | (276) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1007_3 &
% 298.86/67.65 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1007_2 &
% 298.86/67.65 | hAPP(all_1007_1, v_k____) = all_1007_0 & hAPP(all_1007_2, v_t____) =
% 298.86/67.65 | all_1007_1 & $i(all_1007_0) & $i(all_1007_1) & $i(all_1007_2) &
% 298.86/67.65 | $i(all_1007_3) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 298.86/67.65 | all_1007_3, all_1007_0)
% 298.86/67.65 |
% 298.86/67.65 | ALPHA: (276) implies:
% 298.86/67.65 | (277) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1007_3,
% 298.86/67.65 | all_1007_0)
% 298.86/67.65 | (278) hAPP(all_1007_2, v_t____) = all_1007_1
% 298.86/67.65 | (279) hAPP(all_1007_1, v_k____) = all_1007_0
% 298.86/67.65 | (280) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1007_2
% 298.86/67.65 | (281) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1007_3
% 298.86/67.65 |
% 298.86/67.65 | DELTA: instantiating (66) with fresh symbols all_1009_0, all_1009_1 gives:
% 298.86/67.65 | (282) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1009_1 &
% 298.86/67.65 | hAPP(all_1009_1, c_Complex_Oii) = all_1009_0 & $i(all_1009_0) &
% 298.86/67.65 | $i(all_1009_1) & ! [v0: $i] : ! [v1: $i] : ( ~ (hAPP(all_1009_0,
% 298.86/67.65 | v0) = v1) | ~ $i(v0) | ? [v2: $i] :
% 298.86/67.65 | (c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v0) = v2 &
% 298.86/67.65 | hAPP(all_1009_0, v1) = v2 & $i(v2)))
% 298.86/67.65 |
% 298.86/67.65 | ALPHA: (282) implies:
% 298.86/67.65 | (283) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1009_1
% 298.86/67.65 |
% 298.86/67.65 | DELTA: instantiating (140) with fresh symbol all_1012_0 gives:
% 298.86/67.65 | (284) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1012_0 &
% 298.86/67.65 | $i(all_1012_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 298.86/67.65 | (c_RComplete_Onatfloor(v0) = v1) | ~ $i(v0) | ? [v2: $i] : ?
% 298.86/67.65 | [v3: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2 &
% 298.86/67.65 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, all_1012_0) =
% 298.86/67.65 | v3 & $i(v3) & $i(v2) &
% 298.86/67.65 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3)))
% 298.86/67.65 |
% 298.86/67.65 | ALPHA: (284) implies:
% 298.86/67.65 | (285) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1012_0
% 298.86/67.65 |
% 298.86/67.65 | DELTA: instantiating (75) with fresh symbols all_1018_0, all_1018_1,
% 298.86/67.65 | all_1018_2, all_1018_3 gives:
% 298.86/67.65 | (286) c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, all_1018_0) =
% 298.86/67.65 | all_1018_1 & c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) =
% 298.86/67.65 | all_1018_3 & c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) =
% 298.86/67.65 | all_1018_0 & hAPP(all_1018_2, c_Complex_Oii) = all_1018_1 &
% 298.86/67.65 | hAPP(all_1018_3, c_Complex_Oii) = all_1018_2 & $i(all_1018_0) &
% 298.86/67.65 | $i(all_1018_1) & $i(all_1018_2) & $i(all_1018_3)
% 298.86/67.65 |
% 298.86/67.65 | ALPHA: (286) implies:
% 298.86/67.65 | (287) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1018_3
% 298.86/67.65 |
% 298.86/67.65 | DELTA: instantiating (30) with fresh symbol all_1023_0 gives:
% 298.86/67.65 | (288) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1023_0 &
% 298.86/67.65 | $i(all_1023_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 298.86/67.65 | $i] : ( ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_1023_0, v0) = v2) | ~
% 298.86/67.65 | $i(v1) | ~ $i(v0) | ? [v4: $i] : (hAPP(v4, v0) = v3 &
% 298.86/67.65 | hAPP(all_1023_0, v1) = v4 & $i(v4) & $i(v3)))
% 298.86/67.65 |
% 298.86/67.65 | ALPHA: (288) implies:
% 298.86/67.65 | (289) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1023_0
% 298.86/67.65 |
% 298.86/67.65 | DELTA: instantiating (27) with fresh symbols all_1029_0, all_1029_1 gives:
% 298.86/67.65 | (290) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1029_1 &
% 298.86/67.65 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1029_0 &
% 298.86/67.65 | $i(all_1029_0) & $i(all_1029_1) & ! [v0: $i] : ( ~ $i(v0) | ~
% 298.86/67.65 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1029_1, v0) |
% 298.86/67.65 | ? [v1: $i] : ($i(v1) &
% 298.86/67.65 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) &
% 298.86/67.65 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_1029_0) &
% 298.86/67.65 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1029_1, v1)))
% 298.86/67.65 |
% 298.86/67.65 | ALPHA: (290) implies:
% 298.86/67.65 | (291) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1029_0
% 298.86/67.65 | (292) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1029_1
% 298.86/67.65 |
% 298.86/67.65 | DELTA: instantiating (132) with fresh symbols all_1043_0, all_1043_1 gives:
% 298.86/67.65 | (293) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1043_0 &
% 298.86/67.65 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1043_1 &
% 298.86/67.65 | $i(all_1043_0) & $i(all_1043_1) & ! [v0: any] : ! [v1: $i] : (v0 =
% 298.86/67.65 | all_1043_0 | ~ (c_RealDef_Oreal(tc_Nat_Onat, v0) = v1) | ~ $i(v0)
% 298.86/67.65 | | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1,
% 298.86/67.65 | all_1043_1)) & ! [v0: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat,
% 298.86/67.65 | all_1043_0) = v0) |
% 298.86/67.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 298.86/67.65 | all_1043_1))
% 298.86/67.65 |
% 298.86/67.65 | ALPHA: (293) implies:
% 298.86/67.65 | (294) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1043_1
% 298.86/67.65 |
% 298.86/67.65 | DELTA: instantiating (144) with fresh symbol all_1056_0 gives:
% 298.86/67.66 | (295) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1056_0 & $i(all_1056_0)
% 298.86/67.66 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 298.86/67.66 | (c_RealDef_Oreal(tc_Nat_Onat, v0) = v3) | ~
% 298.86/67.66 | (c_RComplete_Onatfloor(v1) = v2) | ~ $i(v1) | ~ $i(v0) |
% 298.86/67.66 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v3) | ? [v4:
% 298.86/67.66 | $i] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, all_1056_0) =
% 298.86/67.66 | v4 & $i(v4) & ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,
% 298.86/67.66 | v4, v0)))
% 298.86/67.66 |
% 298.86/67.66 | ALPHA: (295) implies:
% 298.86/67.66 | (296) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1056_0
% 298.86/67.66 |
% 298.86/67.66 | DELTA: instantiating (91) with fresh symbol all_1071_0 gives:
% 298.86/67.66 | (297) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1071_0 &
% 298.86/67.66 | $i(all_1071_0) & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~
% 298.86/67.66 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v0) = v1) | ~ $i(v0)
% 298.86/67.66 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_1071_0))
% 298.86/67.66 | & ! [v0: $i] : ! [v1: $i] : ( ~
% 298.86/67.66 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v0) = v1) | ~ $i(v0)
% 298.86/67.66 | | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 298.86/67.66 | all_1071_0) | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 298.86/67.66 | v0) = v1 & $i(v1)))
% 298.86/67.66 |
% 298.86/67.66 | ALPHA: (297) implies:
% 298.86/67.66 | (298) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1071_0
% 298.86/67.66 |
% 298.86/67.66 | DELTA: instantiating (70) with fresh symbol all_1074_0 gives:
% 298.86/67.66 | (299) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1074_0 &
% 298.86/67.66 | $i(all_1074_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 =
% 298.86/67.66 | all_1074_0 | ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 298.86/67.66 | v0) = v1) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,
% 298.86/67.66 | v0, v1) = v2) | ~ $i(v0)) & ! [v0: $i] : ! [v1: $i] : !
% 298.86/67.66 | [v2: $i] : (v1 = v0 | ~
% 298.86/67.66 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v0) = v2) | ~
% 298.86/67.66 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v2) =
% 298.86/67.66 | all_1074_0) | ~ $i(v1) | ~ $i(v0))
% 298.86/67.66 |
% 298.86/67.66 | ALPHA: (299) implies:
% 298.86/67.66 | (300) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1074_0
% 298.86/67.66 |
% 298.86/67.66 | DELTA: instantiating (44) with fresh symbols all_1077_0, all_1077_1 gives:
% 298.86/67.66 | (301) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1077_0 &
% 298.86/67.66 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1077_1 &
% 298.86/67.66 | $i(all_1077_0) & $i(all_1077_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 298.86/67.66 | $i] : ! [v3: $i] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_1077_0,
% 298.86/67.66 | v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 298.86/67.66 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1077_1, v1) |
% 298.86/67.66 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1077_1, v0) |
% 298.86/67.66 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1077_1, v3))
% 298.86/67.66 |
% 298.86/67.66 | ALPHA: (301) implies:
% 298.86/67.66 | (302) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1077_1
% 298.86/67.66 | (303) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1077_0
% 298.86/67.66 |
% 298.86/67.66 | DELTA: instantiating (68) with fresh symbol all_1090_0 gives:
% 298.86/67.66 | (304) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1090_0 &
% 298.86/67.66 | $i(all_1090_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 298.86/67.66 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v4, v0) = v5) | ~
% 298.86/67.66 | (hAPP(v2, v1) = v3) | ~ (hAPP(all_1090_0, v1) = v2) | ~
% 298.86/67.66 | (hAPP(all_1090_0, v0) = v4) | ~ $i(v1) | ~ $i(v0) | ? [v6: $i] :
% 298.86/67.66 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v3) = v6 &
% 298.86/67.66 | $i(v6) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6,
% 298.86/67.66 | v5)))
% 298.86/67.66 |
% 298.86/67.66 | ALPHA: (304) implies:
% 298.86/67.66 | (305) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1090_0
% 298.86/67.66 |
% 298.86/67.66 | DELTA: instantiating (145) with fresh symbol all_1093_0 gives:
% 298.86/67.66 | (306) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1093_0 &
% 298.86/67.66 | $i(all_1093_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 298.86/67.66 | $i] : (v3 = v1 | ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2) | ~
% 298.86/67.66 | (c_RComplete_Onatfloor(v0) = v3) | ~ $i(v1) | ~ $i(v0) | ~
% 298.86/67.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0) | ?
% 298.86/67.66 | [v4: $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2,
% 298.86/67.66 | all_1093_0) = v4 & $i(v4) & ~
% 298.86/67.66 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4)))
% 298.86/67.66 |
% 298.86/67.66 | ALPHA: (306) implies:
% 298.86/67.66 | (307) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1093_0
% 298.86/67.66 |
% 298.86/67.66 | DELTA: instantiating (91) with fresh symbol all_1102_0 gives:
% 298.86/67.66 | (308) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1102_0 &
% 298.86/67.66 | $i(all_1102_0) & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~
% 298.86/67.66 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v0) = v1) | ~ $i(v0)
% 298.86/67.66 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_1102_0))
% 298.86/67.66 | & ! [v0: $i] : ! [v1: $i] : ( ~
% 298.86/67.66 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v0) = v1) | ~ $i(v0)
% 298.86/67.66 | | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 298.86/67.66 | all_1102_0) | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 298.86/67.66 | v0) = v1 & $i(v1)))
% 298.86/67.66 |
% 298.86/67.66 | ALPHA: (308) implies:
% 298.86/67.66 | (309) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1102_0
% 298.86/67.66 |
% 298.86/67.66 | DELTA: instantiating (121) with fresh symbols all_1105_0, all_1105_1 gives:
% 298.86/67.66 | (310) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1105_1 &
% 298.86/67.66 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1105_0 &
% 298.86/67.66 | $i(all_1105_0) & $i(all_1105_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 298.86/67.66 | (c_RComplete_Onatfloor(v0) = v1) | ~ $i(v0) | ~
% 298.86/67.66 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_1105_1, v1) |
% 298.86/67.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1105_0,
% 298.86/67.66 | v0)) & ! [v0: $i] : ! [v1: $i] : ( ~ (c_RComplete_Onatfloor(v0)
% 298.86/67.66 | = v1) | ~ $i(v0) | ~
% 298.86/67.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1105_0, v0)
% 298.86/67.66 | | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_1105_1, v1))
% 298.86/67.66 |
% 298.86/67.66 | ALPHA: (310) implies:
% 298.86/67.66 | (311) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1105_0
% 298.86/67.66 | (312) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1105_1
% 298.86/67.66 |
% 298.86/67.66 | DELTA: instantiating (63) with fresh symbol all_1108_0 gives:
% 298.86/67.66 | (313) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1108_0 &
% 298.86/67.66 | $i(all_1108_0) & ! [v0: any] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 298.86/67.66 | $i] : (v0 = all_1108_0 | ~ (c_RealVector_Oof__real(v1, v2) = v3) |
% 298.86/67.66 | ~ (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v0) = v2) |
% 298.86/67.66 | ~ $i(v1) | ~ $i(v0) | ~ class_RealVector_Oreal__div__algebra(v1)
% 298.86/67.66 | | ? [v4: $i] : (c_RealVector_Oof__real(v1, v0) = v4 &
% 298.86/67.66 | c_Rings_Oinverse__class_Oinverse(v1, v4) = v3 & $i(v4) & $i(v3)))
% 298.86/67.66 |
% 298.86/67.66 | ALPHA: (313) implies:
% 298.86/67.66 | (314) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1108_0
% 298.86/67.66 |
% 298.86/67.66 | DELTA: instantiating (143) with fresh symbol all_1111_0 gives:
% 298.86/67.66 | (315) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1111_0 &
% 298.86/67.66 | $i(all_1111_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 298.86/67.66 | $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v0) = v2) | ~
% 298.86/67.66 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v2) = v3) | ~
% 298.86/67.66 | $i(v1) | ~ $i(v0) | ~
% 298.86/67.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1111_0, v1)
% 298.86/67.66 | | ? [v4: $i] : ? [v5: $i] : (c_RComplete_Onatfloor(v3) = v4 &
% 298.86/67.66 | c_RComplete_Onatfloor(v1) = v5 &
% 298.86/67.66 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v5, v0) = v4 & $i(v5) &
% 298.86/67.66 | $i(v4)))
% 298.86/67.66 |
% 298.86/67.66 | ALPHA: (315) implies:
% 298.86/67.66 | (316) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1111_0
% 298.86/67.66 |
% 298.86/67.66 | DELTA: instantiating (37) with fresh symbols all_1114_0, all_1114_1 gives:
% 298.86/67.66 | (317) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1114_0 &
% 298.86/67.66 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1114_1 &
% 298.86/67.66 | $i(all_1114_0) & $i(all_1114_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 298.86/67.66 | any] : ! [v3: $i] : ! [v4: $i] : (v2 = all_1114_1 | v1 = v0 | ~
% 298.86/67.66 | (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_1114_0,
% 298.86/67.66 | v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0))
% 298.86/67.66 |
% 298.86/67.66 | ALPHA: (317) implies:
% 298.86/67.66 | (318) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1114_1
% 298.86/67.66 | (319) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1114_0
% 298.86/67.66 |
% 298.86/67.66 | DELTA: instantiating (135) with fresh symbols all_1120_0, all_1120_1 gives:
% 298.86/67.66 | (320) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1120_0 &
% 298.86/67.66 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1120_1 &
% 298.86/67.66 | $i(all_1120_0) & $i(all_1120_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 298.86/67.66 | (c_RealDef_Oreal(tc_Nat_Onat, v0) = v1) | ~ $i(v0) | ~
% 298.86/67.66 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1120_0, v0) |
% 298.86/67.66 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1120_1, v1)) &
% 298.86/67.66 | ! [v0: $i] : ! [v1: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v0) =
% 298.86/67.66 | v1) | ~ $i(v0) | ~
% 298.86/67.66 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1120_1, v1) |
% 298.86/67.66 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1120_0, v0))
% 298.86/67.66 |
% 298.86/67.66 | ALPHA: (320) implies:
% 298.86/67.66 | (321) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1120_1
% 298.86/67.66 |
% 298.86/67.66 | DELTA: instantiating (28) with fresh symbols all_1123_0, all_1123_1,
% 298.86/67.66 | all_1123_2 gives:
% 298.86/67.66 | (322) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1123_1 &
% 298.86/67.66 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1123_2 &
% 298.86/67.66 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1123_0 &
% 298.86/67.66 | $i(all_1123_0) & $i(all_1123_1) & $i(all_1123_2) & ! [v0: any] : !
% 298.86/67.66 | [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = all_1123_0 | v0 =
% 298.86/67.66 | all_1123_2 | ~ (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,
% 298.86/67.66 | v0) = v1) | ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_1123_1, v1) =
% 298.86/67.66 | v2) | ~ $i(v0))
% 298.86/67.66 |
% 298.86/67.66 | ALPHA: (322) implies:
% 298.86/67.66 | (323) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1123_0
% 298.86/67.66 | (324) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1123_2
% 298.86/67.66 | (325) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1123_1
% 298.86/67.66 |
% 298.86/67.66 | DELTA: instantiating (85) with fresh symbols all_1132_0, all_1132_1 gives:
% 298.86/67.66 | (326) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = all_1132_0 &
% 298.86/67.66 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 298.86/67.66 | all_1132_1 & $i(all_1132_0) & $i(all_1132_1) & ! [v0: $i] : ! [v1:
% 298.86/67.66 | $i] : ( ~ (hAPP(all_1132_0, v0) = v1) | ~ $i(v0) | ? [v2: $i] :
% 298.86/67.66 | ? [v3: $i] : ((c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 298.86/67.66 | v1) = v3 & $i(v3) &
% 298.86/67.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3,
% 298.86/67.66 | v_m____)) |
% 298.86/67.66 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v0) = v2 &
% 298.86/67.66 | $i(v2) & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 298.86/67.66 | v2, all_1132_1))))
% 298.86/67.66 |
% 298.86/67.66 | ALPHA: (326) implies:
% 298.86/67.66 | (327) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 298.86/67.66 | all_1132_1
% 298.86/67.66 | (328) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = all_1132_0
% 298.86/67.66 |
% 298.86/67.66 | DELTA: instantiating (146) with fresh symbol all_1141_0 gives:
% 298.86/67.66 | (329) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1141_0 &
% 298.86/67.66 | $i(all_1141_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 298.86/67.66 | $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v0) = v2) | ~
% 298.86/67.66 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v2) = v3) | ~
% 298.86/67.66 | $i(v1) | ~ $i(v0) | ~
% 298.86/67.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1141_0, v1)
% 298.86/67.66 | | ? [v4: $i] : ? [v5: $i] : (c_RComplete_Onatceiling(v3) = v4 &
% 298.86/67.66 | c_RComplete_Onatceiling(v1) = v5 &
% 298.86/67.66 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v5, v0) = v4 & $i(v5) &
% 298.86/67.66 | $i(v4)))
% 298.86/67.66 |
% 298.86/67.66 | ALPHA: (329) implies:
% 298.86/67.66 | (330) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1141_0
% 298.86/67.66 |
% 298.86/67.66 | DELTA: instantiating (111) with fresh symbols all_1147_0, all_1147_1 gives:
% 298.86/67.66 | (331) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1147_1 &
% 298.86/67.66 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1147_0 &
% 298.86/67.66 | $i(all_1147_0) & $i(all_1147_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 298.86/67.66 | (c_RComplete_Onatceiling(v0) = v1) | ~ $i(v0) | ~
% 298.86/67.66 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, all_1147_1) |
% 298.86/67.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 298.86/67.66 | all_1147_0)) & ! [v0: $i] : ! [v1: $i] : ( ~
% 298.86/67.66 | (c_RComplete_Onatceiling(v0) = v1) | ~ $i(v0) | ~
% 298.86/67.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, all_1147_0)
% 298.86/67.66 | | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, all_1147_1))
% 298.86/67.66 |
% 298.86/67.66 | ALPHA: (331) implies:
% 298.86/67.66 | (332) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1147_0
% 298.86/67.66 | (333) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1147_1
% 298.86/67.66 |
% 298.86/67.66 | DELTA: instantiating (64) with fresh symbols all_1155_0, all_1155_1 gives:
% 298.86/67.66 | (334) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1155_0 &
% 298.86/67.66 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1155_1 &
% 298.86/67.66 | $i(all_1155_0) & $i(all_1155_1) & ! [v0: any] : ! [v1: $i] : !
% 298.86/67.66 | [v2: $i] : (v0 = all_1155_1 | ~ (hAPP(v1, v0) = v2) | ~
% 298.86/67.66 | (hAPP(all_1155_0, v0) = v1) | ~ $i(v0) |
% 298.86/67.66 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1155_1, v2)) &
% 298.86/67.66 | ! [v0: $i] : ! [v1: $i] : ( ~ (hAPP(v0, all_1155_1) = v1) | ~
% 298.86/67.66 | (hAPP(all_1155_0, all_1155_1) = v0) | ~
% 298.86/67.66 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1155_1, v1))
% 298.86/67.66 |
% 298.86/67.66 | ALPHA: (334) implies:
% 298.86/67.66 | (335) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1155_1
% 298.86/67.66 | (336) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1155_0
% 298.86/67.66 |
% 298.86/67.66 | DELTA: instantiating (38) with fresh symbols all_1158_0, all_1158_1,
% 298.86/67.66 | all_1158_2 gives:
% 298.86/67.66 | (337) c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1158_2 &
% 298.86/67.66 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1158_0 &
% 298.86/67.66 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1158_1 & $i(all_1158_0)
% 298.86/67.66 | & $i(all_1158_1) & $i(all_1158_2) & ! [v0: any] : ! [v1: any] : !
% 298.86/67.66 | [v2: $i] : (v1 = all_1158_0 | v0 = all_1158_1 | ~ (hAPP(v2, v0) =
% 298.86/67.66 | v1) | ~ (hAPP(all_1158_2, v1) = v2) | ~ $i(v1) | ~ $i(v0))
% 298.86/67.66 |
% 298.86/67.66 | ALPHA: (337) implies:
% 298.86/67.66 | (338) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1158_1
% 298.86/67.66 |
% 298.86/67.66 | DELTA: instantiating (67) with fresh symbol all_1161_0 gives:
% 298.86/67.66 | (339) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1161_0 &
% 298.86/67.66 | $i(all_1161_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 298.86/67.66 | (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v1, v0) = v2) | ~
% 298.86/67.66 | $i(v1) | ~ $i(v0) | ~
% 298.86/67.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, all_1161_0)
% 298.86/67.66 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0)) & !
% 298.86/67.66 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 298.86/67.66 | (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v1, v0) = v2) | ~
% 298.86/67.66 | $i(v1) | ~ $i(v0) | ~
% 298.86/67.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) |
% 298.86/67.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2,
% 298.86/67.66 | all_1161_0))
% 298.86/67.66 |
% 298.86/67.66 | ALPHA: (339) implies:
% 298.86/67.66 | (340) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1161_0
% 298.86/67.66 |
% 298.86/67.66 | DELTA: instantiating (45) with fresh symbols all_1167_0, all_1167_1 gives:
% 298.86/67.66 | (341) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1167_0 &
% 298.86/67.66 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1167_1 &
% 298.86/67.66 | $i(all_1167_0) & $i(all_1167_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 298.86/67.66 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v3, v1) =
% 298.86/67.66 | v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_1167_0, v2) = v3) |
% 298.86/67.66 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 298.86/67.66 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) | ~
% 298.86/67.66 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1167_1, v2) |
% 298.86/67.66 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v5))
% 298.86/67.67 |
% 298.86/67.67 | ALPHA: (341) implies:
% 298.86/67.67 | (342) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1167_1
% 298.86/67.67 | (343) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1167_0
% 298.86/67.67 |
% 298.86/67.67 | DELTA: instantiating (54) with fresh symbols all_1190_0, all_1190_1,
% 298.86/67.67 | all_1190_2, all_1190_3, all_1190_4, all_1190_5 gives:
% 298.86/67.67 | (344) c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = all_1190_4 &
% 298.86/67.67 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1190_5 &
% 298.86/67.67 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1190_2) =
% 298.86/67.67 | all_1190_1 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 298.86/67.67 | v_w____) = all_1190_0 & hAPP(all_1190_3, v_w____) = all_1190_2 &
% 298.86/67.67 | hAPP(all_1190_5, all_1190_4) = all_1190_3 & $i(all_1190_0) &
% 298.86/67.67 | $i(all_1190_1) & $i(all_1190_2) & $i(all_1190_3) & $i(all_1190_4) &
% 298.86/67.67 | $i(all_1190_5) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 298.86/67.67 | all_1190_1, all_1190_0)
% 298.86/67.67 |
% 298.86/67.67 | ALPHA: (344) implies:
% 298.86/67.67 | (345) $i(all_1190_0)
% 298.86/67.67 | (346) hAPP(all_1190_5, all_1190_4) = all_1190_3
% 298.86/67.67 | (347) hAPP(all_1190_3, v_w____) = all_1190_2
% 298.86/67.67 | (348) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 298.86/67.67 | all_1190_0
% 298.86/67.67 | (349) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1190_5
% 298.86/67.67 | (350) c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = all_1190_4
% 298.86/67.67 |
% 298.86/67.67 | DELTA: instantiating (18) with fresh symbol all_1192_0 gives:
% 298.86/67.67 | (351) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1192_0 &
% 298.86/67.67 | $i(all_1192_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 298.86/67.67 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~
% 298.86/67.67 | $i(v0) | ~ class_RealVector_Oreal__normed__vector(v1) | ? [v3:
% 298.86/67.67 | $i] : (( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 298.86/67.67 | all_1192_0, v2) | ( ~ (v3 = v0) &
% 298.86/67.67 | c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3))) &
% 298.86/67.67 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1192_0, v2)
% 298.86/67.67 | | (v3 = v0 & c_Groups_Ozero__class_Ozero(v1) = v0))))
% 298.86/67.67 |
% 298.86/67.67 | ALPHA: (351) implies:
% 298.86/67.67 | (352) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1192_0
% 298.86/67.67 |
% 298.86/67.67 | DELTA: instantiating (103) with fresh symbols all_1199_0, all_1199_1,
% 298.86/67.67 | all_1199_2, all_1199_3, all_1199_4, all_1199_5 gives:
% 298.86/67.67 | (353) c_Polynomial_Omonom(tc_Complex_Ocomplex, v_a____, all_1199_2) =
% 298.86/67.67 | all_1199_1 & c_Polynomial_OpCons(tc_Complex_Ocomplex, all_1199_3,
% 298.86/67.67 | all_1199_1) = all_1199_0 &
% 298.86/67.67 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 298.86/67.67 | all_1199_0) = all_1199_4 &
% 298.86/67.67 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v_k____, all_1199_5) =
% 298.86/67.67 | all_1199_2 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____,
% 298.86/67.67 | all_1199_5) = all_1199_4 & c_Groups_Oone__class_Oone(tc_Nat_Onat) =
% 298.86/67.67 | all_1199_5 & c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) =
% 298.86/67.67 | all_1199_3 & $i(all_1199_0) & $i(all_1199_1) & $i(all_1199_2) &
% 298.86/67.67 | $i(all_1199_3) & $i(all_1199_4) & $i(all_1199_5)
% 298.86/67.67 |
% 298.86/67.67 | ALPHA: (353) implies:
% 298.86/67.67 | (354) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1199_5
% 298.86/67.67 | (355) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_1199_5) =
% 298.86/67.67 | all_1199_4
% 298.86/67.67 |
% 298.86/67.67 | DELTA: instantiating (81) with fresh symbols all_1201_0, all_1201_1 gives:
% 298.86/67.67 | (356) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1201_1 &
% 298.86/67.67 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1201_0 &
% 298.86/67.67 | $i(all_1201_0) & $i(all_1201_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 298.86/67.67 | $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 298.86/67.67 | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v2) = v3) | ~
% 298.86/67.67 | (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1201_0, v0) =
% 298.86/67.67 | v2) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v1) =
% 298.86/67.67 | v4) | ~ $i(v1) | ~ $i(v0) | ~
% 298.86/67.67 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, all_1201_0)
% 298.86/67.67 | | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 298.86/67.67 | all_1201_1, v1) | ~
% 298.86/67.67 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) |
% 298.86/67.67 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, all_1201_0))
% 298.86/67.67 |
% 298.86/67.67 | ALPHA: (356) implies:
% 298.86/67.67 | (357) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1201_0
% 298.86/67.67 | (358) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1201_1
% 298.86/67.67 |
% 298.86/67.67 | DELTA: instantiating (15) with fresh symbol all_1204_0 gives:
% 298.86/67.67 | (359) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1204_0 &
% 298.86/67.67 | $i(all_1204_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 298.86/67.67 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~
% 298.86/67.67 | $i(v0) | ~ class_RealVector_Oreal__normed__vector(v1) | ? [v3:
% 298.86/67.67 | $i] : (( ~ (v2 = all_1204_0) | (v3 = v0 &
% 298.86/67.67 | c_Groups_Ozero__class_Ozero(v1) = v0)) & (v2 = all_1204_0 | (
% 298.86/67.67 | ~ (v3 = v0) & c_Groups_Ozero__class_Ozero(v1) = v3 &
% 298.86/67.67 | $i(v3)))))
% 298.86/67.67 |
% 298.86/67.67 | ALPHA: (359) implies:
% 298.86/67.67 | (360) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1204_0
% 298.86/67.67 |
% 298.86/67.67 | DELTA: instantiating (102) with fresh symbols all_1207_0, all_1207_1,
% 298.86/67.67 | all_1207_2, all_1207_3, all_1207_4, all_1207_5 gives:
% 298.86/67.67 | (361) c_Polynomial_Omonom(tc_Complex_Ocomplex, v_a____, all_1207_3) =
% 298.86/67.67 | all_1207_2 & c_Polynomial_OpCons(tc_Complex_Ocomplex, all_1207_5,
% 298.86/67.67 | all_1207_2) = all_1207_1 & c_Polynomial_Opoly(tc_Complex_Ocomplex,
% 298.86/67.67 | all_1207_1) = all_1207_0 &
% 298.86/67.67 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v_k____, all_1207_4) =
% 298.86/67.67 | all_1207_3 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1207_4 &
% 298.86/67.67 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1207_5 &
% 298.86/67.67 | $i(all_1207_0) & $i(all_1207_1) & $i(all_1207_2) & $i(all_1207_3) &
% 298.86/67.67 | $i(all_1207_4) & $i(all_1207_5) & ~
% 298.86/67.67 | c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,
% 298.86/67.67 | tc_Complex_Ocomplex, all_1207_0)
% 298.86/67.67 |
% 298.86/67.67 | ALPHA: (361) implies:
% 298.86/67.67 | (362) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1207_4
% 298.86/67.67 |
% 298.86/67.67 | DELTA: instantiating (69) with fresh symbol all_1212_0 gives:
% 298.86/67.67 | (363) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1212_0 &
% 298.86/67.67 | $i(all_1212_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 =
% 298.86/67.67 | all_1212_0 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1,
% 298.86/67.67 | v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ( ~ (v3 = v0)
% 298.86/67.67 | & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v3 &
% 298.86/67.67 | $i(v3))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 298.86/67.67 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) =
% 298.86/67.67 | all_1212_0) | ~ $i(v1) | ~ $i(v0) |
% 298.86/67.67 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v0)
% 298.86/67.67 |
% 298.86/67.67 | ALPHA: (363) implies:
% 298.86/67.67 | (364) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1212_0
% 298.86/67.67 |
% 298.86/67.67 | DELTA: instantiating (16) with fresh symbol all_1227_0 gives:
% 298.86/67.67 | (365) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1227_0 &
% 298.86/67.67 | $i(all_1227_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 298.86/67.67 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~
% 298.86/67.67 | $i(v0) | ~ class_RealVector_Oreal__normed__vector(v1) | ? [v3:
% 298.86/67.67 | $i] : (( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 298.86/67.67 | v2, all_1227_0) | (v3 = v0 & c_Groups_Ozero__class_Ozero(v1)
% 298.86/67.67 | = v0)) & (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 298.86/67.67 | v2, all_1227_0) | ( ~ (v3 = v0) &
% 298.86/67.67 | c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3)))))
% 298.86/67.67 |
% 298.86/67.67 | ALPHA: (365) implies:
% 298.86/67.67 | (366) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1227_0
% 298.86/67.67 |
% 298.86/67.67 | DELTA: instantiating (36) with fresh symbols all_1233_0, all_1233_1 gives:
% 298.86/67.67 | (367) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1233_0 &
% 298.86/67.67 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1233_1 &
% 298.86/67.67 | $i(all_1233_0) & $i(all_1233_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 298.86/67.67 | any] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v2 = all_1233_1 |
% 298.86/67.67 | v1 = v0 | ~ (hAPP(v5, v2) = v4) | ~ (hAPP(v3, v2) = v4) | ~
% 298.86/67.67 | (hAPP(all_1233_0, v1) = v3) | ~ (hAPP(all_1233_0, v0) = v5) | ~
% 298.86/67.67 | $i(v2) | ~ $i(v1) | ~ $i(v0))
% 298.86/67.67 |
% 298.86/67.67 | ALPHA: (367) implies:
% 298.86/67.67 | (368) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1233_1
% 298.86/67.67 | (369) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1233_0
% 298.86/67.67 |
% 298.86/67.67 | DELTA: instantiating (90) with fresh symbols all_1239_0, all_1239_1 gives:
% 298.86/67.67 | (370) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1239_0 &
% 298.86/67.67 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1239_1 &
% 298.86/67.67 | $i(all_1239_0) & $i(all_1239_1) & ! [v0: $i] : ! [v1: any] : !
% 298.86/67.67 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] :
% 298.86/67.67 | (v1 = all_1239_1 | ~ (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal,
% 298.86/67.67 | v1) = v3) | ~ (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v0)
% 298.86/67.67 | = v5) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(all_1239_0, v2) = v4) |
% 298.86/67.67 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 298.86/67.67 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v6) | ~
% 298.86/67.67 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2,
% 298.86/67.67 | all_1239_1))
% 298.86/67.67 |
% 298.86/67.67 | ALPHA: (370) implies:
% 298.86/67.67 | (371) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1239_1
% 298.86/67.67 | (372) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1239_0
% 298.86/67.67 |
% 298.86/67.67 | DELTA: instantiating (25) with fresh symbol all_1242_0 gives:
% 298.86/67.67 | (373) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1242_0 &
% 298.86/67.67 | $i(all_1242_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 298.86/67.67 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 298.86/67.67 | (c_Rings_Oinverse__class_Oinverse(v2, v0) = v3) | ~
% 298.86/67.67 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v1) = v5) | ~
% 298.86/67.67 | (c_RealVector_Onorm__class_Onorm(v2, v3) = v4) | ~ $i(v2) | ~
% 298.86/67.67 | $i(v1) | ~ $i(v0) | ~
% 298.86/67.67 | class_RealVector_Oreal__normed__div__algebra(v2) | ~
% 298.86/67.67 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1242_0, v1) |
% 298.86/67.67 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v5) | ?
% 298.86/67.67 | [v6: $i] : (c_RealVector_Onorm__class_Onorm(v2, v0) = v6 & $i(v6) &
% 298.86/67.67 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v6)))
% 298.86/67.67 |
% 298.86/67.67 | ALPHA: (373) implies:
% 298.86/67.67 | (374) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1242_0
% 298.86/67.67 |
% 298.86/67.67 | DELTA: instantiating (117) with fresh symbols all_1248_0, all_1248_1,
% 298.86/67.67 | all_1248_2 gives:
% 298.86/67.67 | (375) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1248_2 &
% 298.86/67.67 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1248_0 &
% 298.86/67.67 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1248_1 &
% 298.86/67.67 | $i(all_1248_0) & $i(all_1248_1) & $i(all_1248_2) & ! [v0: $i] : !
% 298.86/67.67 | [v1: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v0,
% 298.86/67.67 | all_1248_1) = v1) | ~ $i(v0) | ~
% 298.86/67.67 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1248_2, v0)
% 298.86/67.67 | | ? [v2: $i] : ? [v3: $i] : (c_RComplete_Onatfloor(v1) = v2 &
% 298.86/67.67 | c_RComplete_Onatfloor(v0) = v3 &
% 298.86/67.67 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, all_1248_0) = v2 &
% 298.86/67.67 | $i(v3) & $i(v2)))
% 298.86/67.67 |
% 298.86/67.67 | ALPHA: (375) implies:
% 298.86/67.67 | (376) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1248_1
% 298.86/67.67 | (377) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1248_0
% 298.86/67.67 | (378) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1248_2
% 298.86/67.67 |
% 298.86/67.67 | DELTA: instantiating (56) with fresh symbol all_1254_0 gives:
% 298.86/67.67 | (379) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1254_0 &
% 298.86/67.67 | $i(all_1254_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 298.86/67.67 | (c_RealVector_Oof__real(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 298.86/67.67 | class_RealVector_Oreal__algebra__1(v1) | ? [v3: $i] : (( ~ (v0 =
% 298.86/67.67 | all_1254_0) | (v3 = v2 & c_Groups_Ozero__class_Ozero(v1) = v2
% 298.86/67.67 | & $i(v2))) & (v0 = all_1254_0 | ( ~ (v3 = v2) &
% 298.86/67.67 | c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3)))))
% 298.86/67.67 |
% 298.86/67.67 | ALPHA: (379) implies:
% 298.86/67.67 | (380) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1254_0
% 298.86/67.67 |
% 298.86/67.67 | DELTA: instantiating (107) with fresh symbols all_1272_0, all_1272_1,
% 298.86/67.67 | all_1272_2 gives:
% 298.86/67.67 | (381) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1272_2 &
% 298.86/67.67 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1272_0 &
% 298.86/67.67 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1272_1 &
% 298.86/67.67 | $i(all_1272_0) & $i(all_1272_1) & $i(all_1272_2) & ! [v0: $i] : !
% 298.86/67.67 | [v1: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v0,
% 298.86/67.67 | all_1272_1) = v1) | ~ $i(v0) | ~
% 298.86/67.67 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1272_2, v0)
% 298.86/67.67 | | ? [v2: $i] : ? [v3: $i] : (c_RComplete_Onatceiling(v1) = v2 &
% 298.86/67.67 | c_RComplete_Onatceiling(v0) = v3 &
% 298.86/67.67 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, all_1272_0) = v2 &
% 298.86/67.67 | $i(v3) & $i(v2)))
% 298.86/67.67 |
% 298.86/67.67 | ALPHA: (381) implies:
% 298.86/67.67 | (382) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1272_1
% 298.86/67.67 | (383) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1272_0
% 298.86/67.67 | (384) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1272_2
% 298.86/67.67 |
% 298.86/67.67 | DELTA: instantiating (150) with fresh symbol all_1282_0 gives:
% 298.86/67.67 | (385) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1282_0 &
% 298.86/67.67 | $i(all_1282_0) & ! [v0: $i] : ( ~ $i(v0) | ~
% 298.86/67.67 | class_RealVector_Oreal__algebra__1(v0) | ~
% 298.86/67.67 | class_RealVector_Oreal__normed__vector(v0) | ? [v1: $i] : ($i(v1)
% 298.86/67.67 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 298.86/67.67 | (c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal, v2) = v3) |
% 298.86/67.67 | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(all_1282_0, v3) = v4) | ~
% 298.86/67.67 | $i(v2) | ? [v6: $i] : ? [v7: $i] :
% 298.86/67.67 | (c_RealVector_Oof__real(v0, v2) = v6 &
% 298.86/67.67 | c_RealVector_Onorm__class_Onorm(v0, v6) = v7 & $i(v7) &
% 298.86/67.67 | $i(v6) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 298.86/67.67 | v7, v5)))))
% 298.86/67.67 |
% 298.86/67.67 | ALPHA: (385) implies:
% 298.86/67.67 | (386) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1282_0
% 298.86/67.67 |
% 298.86/67.67 | DELTA: instantiating (148) with fresh symbols all_1285_0, all_1285_1 gives:
% 298.86/67.67 | (387) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1285_1 &
% 298.86/67.67 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1285_0 & $i(all_1285_0)
% 298.86/67.67 | & $i(all_1285_1) & ! [v0: $i] : ( ~ $i(v0) | ~
% 298.86/67.67 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1285_1, v0)
% 298.86/67.67 | | ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 298.86/67.67 | (c_RealDef_Oreal(tc_Nat_Onat, v2) = v3 &
% 298.86/67.67 | c_RealDef_Oreal(tc_Nat_Onat, v1) = v4 &
% 298.86/67.67 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, all_1285_0) = v2 &
% 298.86/67.67 | $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 298.86/67.67 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0) &
% 298.86/67.67 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4)))
% 298.86/67.67 |
% 298.86/67.67 | ALPHA: (387) implies:
% 298.86/67.67 | (388) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1285_0
% 298.86/67.67 | (389) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1285_1
% 298.86/67.67 |
% 298.86/67.67 | DELTA: instantiating (62) with fresh symbols all_1288_0, all_1288_1 gives:
% 298.86/67.67 | (390) c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1288_1 &
% 298.86/67.67 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1288_0 &
% 298.86/67.67 | $i(all_1288_0) & $i(all_1288_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 298.86/67.67 | $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 298.86/67.67 | (c_RealVector_Oof__real(tc_Complex_Ocomplex, v1) = v2) | ~
% 298.86/67.67 | (hAPP(v3, v0) = v4) | ~ (hAPP(all_1288_1, v2) = v3) | ~ $i(v1) |
% 298.86/67.67 | ~ $i(v0) | ? [v5: $i] : ? [v6: $i] :
% 298.86/67.67 | (c_RealVector_Oof__real(tc_Complex_Ocomplex, v6) = v4 & hAPP(v5,
% 298.86/67.67 | v0) = v6 & hAPP(all_1288_0, v1) = v5 & $i(v6) & $i(v5) &
% 298.86/67.67 | $i(v4)))
% 298.86/67.67 |
% 298.86/67.67 | ALPHA: (390) implies:
% 298.86/67.67 | (391) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1288_0
% 298.86/67.67 | (392) c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1288_1
% 298.86/67.67 |
% 298.86/67.67 | DELTA: instantiating (7) with fresh symbols all_1291_0, all_1291_1,
% 298.86/67.67 | all_1291_2, all_1291_3, all_1291_4, all_1291_5, all_1291_6 gives:
% 298.86/67.68 | (393) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1291_6 &
% 298.86/67.68 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 298.86/67.68 | all_1291_4 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1291_2
% 298.86/67.68 | & hAPP(all_1291_1, all_1291_4) = all_1291_0 & hAPP(all_1291_5,
% 298.86/67.68 | all_1291_4) = all_1291_3 & hAPP(all_1291_6, all_1291_2) =
% 298.86/67.68 | all_1291_1 & hAPP(all_1291_6, v_t____) = all_1291_5 & $i(all_1291_0)
% 298.86/67.68 | & $i(all_1291_1) & $i(all_1291_2) & $i(all_1291_3) & $i(all_1291_4) &
% 298.86/67.68 | $i(all_1291_5) & $i(all_1291_6) &
% 298.86/67.68 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1291_3,
% 298.86/67.68 | all_1291_0)
% 298.86/67.68 |
% 298.86/67.68 | ALPHA: (393) implies:
% 298.86/67.68 | (394) hAPP(all_1291_6, v_t____) = all_1291_5
% 298.86/67.68 | (395) hAPP(all_1291_6, all_1291_2) = all_1291_1
% 298.86/67.68 | (396) hAPP(all_1291_5, all_1291_4) = all_1291_3
% 298.86/67.68 | (397) hAPP(all_1291_1, all_1291_4) = all_1291_0
% 298.86/67.68 | (398) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1291_2
% 298.86/67.68 | (399) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 298.86/67.68 | all_1291_4
% 298.86/67.68 | (400) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1291_6
% 298.86/67.68 |
% 298.86/67.68 | DELTA: instantiating (53) with fresh symbols all_1293_0, all_1293_1,
% 298.86/67.68 | all_1293_2, all_1293_3, all_1293_4, all_1293_5, all_1293_6 gives:
% 298.86/67.68 | (401) c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, all_1293_0) =
% 298.86/67.68 | all_1293_1 & c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) =
% 298.86/67.68 | all_1293_6 & c_Power_Opower__class_Opower(tc_Complex_Ocomplex) =
% 298.86/67.68 | all_1293_5 & c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) =
% 298.86/67.68 | all_1293_0 & hAPP(all_1293_2, v_a____) = all_1293_1 &
% 298.86/67.68 | hAPP(all_1293_4, v_k____) = all_1293_3 & hAPP(all_1293_5, v_w____) =
% 298.86/67.68 | all_1293_4 & hAPP(all_1293_6, all_1293_3) = all_1293_2 &
% 298.86/67.68 | $i(all_1293_0) & $i(all_1293_1) & $i(all_1293_2) & $i(all_1293_3) &
% 298.86/67.68 | $i(all_1293_4) & $i(all_1293_5) & $i(all_1293_6)
% 298.86/67.68 |
% 298.86/67.68 | ALPHA: (401) implies:
% 298.86/67.68 | (402) c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1293_5
% 298.86/67.68 | (403) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1293_6
% 298.86/67.68 |
% 298.86/67.68 | DELTA: instantiating (31) with fresh symbol all_1295_0 gives:
% 298.86/67.68 | (404) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1295_0 &
% 298.86/67.68 | $i(all_1295_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 298.86/67.68 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~ (hAPP(v5, v0) =
% 298.86/67.68 | v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_1295_0, v4) = v5) |
% 298.86/67.68 | ~ (hAPP(all_1295_0, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 298.86/67.68 | ? [v7: $i] : ? [v8: $i] : (hAPP(v7, v0) = v8 & hAPP(v3, v8) = v6
% 298.86/67.68 | & hAPP(all_1295_0, v1) = v7 & $i(v8) & $i(v7) & $i(v6)))
% 298.86/67.68 |
% 298.86/67.68 | ALPHA: (404) implies:
% 298.86/67.68 | (405) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1295_0
% 298.86/67.68 |
% 298.86/67.68 | DELTA: instantiating (123) with fresh symbols all_1304_0, all_1304_1 gives:
% 298.86/67.68 | (406) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1304_0 &
% 298.86/67.68 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1304_1 &
% 298.86/67.68 | $i(all_1304_0) & $i(all_1304_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 298.86/67.68 | $i] : ! [v3: $i] : (v3 = v2 | ~ (c_RComplete_Onatceiling(v0) =
% 298.86/67.68 | v2) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1,
% 298.86/67.68 | all_1304_0) = v3) | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] : ?
% 298.86/67.68 | [v5: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v1) = v4 & $i(v4) & ( ~
% 298.86/67.68 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v0) |
% 298.86/67.68 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, all_1304_1)
% 298.86/67.68 | = v5 & $i(v5) & ~
% 298.86/67.68 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 298.86/67.68 | v5)))))
% 298.86/67.68 |
% 298.86/67.68 | ALPHA: (406) implies:
% 298.86/67.68 | (407) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1304_1
% 298.86/67.68 | (408) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1304_0
% 298.86/67.68 |
% 298.86/67.68 | DELTA: instantiating (127) with fresh symbols all_1315_0, all_1315_1 gives:
% 298.86/67.68 | (409) c_Power_Opower__class_Opower(tc_Nat_Onat) = all_1315_0 &
% 298.86/67.68 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1315_1 &
% 298.86/67.68 | $i(all_1315_0) & $i(all_1315_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 298.86/67.68 | $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat,
% 298.86/67.68 | v1) = v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_1315_1, v2) =
% 298.86/67.68 | v3) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : ? [v6: $i] :
% 298.86/67.68 | (c_RealDef_Oreal(tc_Nat_Onat, v6) = v4 & hAPP(v5, v0) = v6 &
% 298.86/67.68 | hAPP(all_1315_0, v1) = v5 & $i(v6) & $i(v5) & $i(v4)))
% 298.86/67.68 |
% 298.86/67.68 | ALPHA: (409) implies:
% 298.86/67.68 | (410) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1315_1
% 298.86/67.68 |
% 298.86/67.68 | DELTA: instantiating (128) with fresh symbols all_1318_0, all_1318_1 gives:
% 298.86/67.68 | (411) c_Power_Opower__class_Opower(tc_Nat_Onat) = all_1318_1 &
% 298.86/67.68 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1318_0 &
% 298.86/67.68 | $i(all_1318_0) & $i(all_1318_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 298.86/67.68 | $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat,
% 298.86/67.68 | v1) = v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_1318_0, v2) =
% 298.86/67.68 | v3) | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : ? [v6: $i] :
% 298.86/67.68 | (c_RealDef_Oreal(tc_Nat_Onat, v6) = v4 & hAPP(v5, v0) = v6 &
% 298.86/67.68 | hAPP(all_1318_1, v1) = v5 & $i(v6) & $i(v5) & $i(v4)))
% 298.86/67.68 |
% 298.86/67.68 | ALPHA: (411) implies:
% 298.86/67.68 | (412) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1318_0
% 298.86/67.68 |
% 298.86/67.68 | DELTA: instantiating (151) with fresh symbols all_1321_0, all_1321_1 gives:
% 298.86/67.68 | (413) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1321_1 &
% 298.86/67.68 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1321_0 &
% 298.86/67.68 | $i(all_1321_0) & $i(all_1321_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 298.86/67.68 | $i] : ! [v3: $i] : ( ~ (c_Groups_Osgn__class_Osgn(v1, v0) = v2) |
% 298.86/67.68 | ~ (c_RealVector_Onorm__class_Onorm(v1, v2) = v3) | ~ $i(v1) | ~
% 298.86/67.68 | $i(v0) | ~ class_RealVector_Oreal__normed__vector(v1) | ? [v4:
% 298.86/67.68 | $i] : ((v3 = all_1321_0 | (v4 = v0 &
% 298.86/67.68 | c_Groups_Ozero__class_Ozero(v1) = v0)) & (v3 = all_1321_1 | (
% 298.86/67.68 | ~ (v4 = v0) & c_Groups_Ozero__class_Ozero(v1) = v4 &
% 298.86/67.68 | $i(v4)))))
% 298.86/67.68 |
% 298.86/67.68 | ALPHA: (413) implies:
% 298.86/67.68 | (414) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1321_0
% 298.86/67.68 | (415) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1321_1
% 298.86/67.68 |
% 298.86/67.68 | DELTA: instantiating (104) with fresh symbols all_1324_0, all_1324_1,
% 298.86/67.68 | all_1324_2, all_1324_3, all_1324_4, all_1324_5, all_1324_6, all_1324_7
% 298.86/67.68 | gives:
% 298.86/67.68 | (416) c_Polynomial_Omonom(tc_Complex_Ocomplex, v_a____, all_1324_5) =
% 298.86/67.68 | all_1324_4 & c_Polynomial_OpCons(tc_Complex_Ocomplex, all_1324_7,
% 298.86/67.68 | all_1324_4) = all_1324_3 & c_Polynomial_Opoly(tc_Complex_Ocomplex,
% 298.86/67.68 | all_1324_3) = all_1324_2 &
% 298.86/67.68 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v_k____, all_1324_6) =
% 298.86/67.68 | all_1324_5 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 298.86/67.68 | all_1324_1 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1324_6 &
% 298.86/67.68 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1324_7 &
% 298.86/67.68 | hAPP(all_1324_2, all_1324_0) = all_1324_1 & $i(all_1324_0) &
% 298.86/67.68 | $i(all_1324_1) & $i(all_1324_2) & $i(all_1324_3) & $i(all_1324_4) &
% 298.86/67.68 | $i(all_1324_5) & $i(all_1324_6) & $i(all_1324_7)
% 298.86/67.68 |
% 298.86/67.68 | ALPHA: (416) implies:
% 298.86/67.68 | (417) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1324_6
% 298.86/67.68 |
% 298.86/67.68 | DELTA: instantiating (138) with fresh symbol all_1326_0 gives:
% 298.86/67.68 | (418) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1326_0 &
% 298.86/67.68 | $i(all_1326_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 298.86/67.68 | $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v0) = v3) | ~
% 298.86/67.68 | (c_RComplete_Onatfloor(v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 298.86/67.68 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v2) | ~
% 298.86/67.68 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1326_0, v1)
% 298.86/67.68 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v1)) & !
% 298.86/67.68 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 298.86/67.68 | (c_RealDef_Oreal(tc_Nat_Onat, v0) = v3) | ~
% 298.86/67.68 | (c_RComplete_Onatfloor(v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 298.86/67.68 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v1) | ~
% 298.86/67.68 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1326_0, v1)
% 298.86/67.68 | | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v2))
% 298.86/67.68 |
% 298.86/67.68 | ALPHA: (418) implies:
% 298.86/67.68 | (419) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1326_0
% 298.86/67.68 |
% 298.86/67.68 | DELTA: instantiating (94) with fresh symbols all_1329_0, all_1329_1,
% 298.86/67.68 | all_1329_2, all_1329_3 gives:
% 298.86/67.68 | (420) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = all_1329_1 &
% 298.86/67.68 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 298.86/67.68 | all_1329_2 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 298.86/67.68 | all_1329_3 & $i(all_1329_0) & $i(all_1329_1) & $i(all_1329_2) &
% 298.86/67.68 | $i(all_1329_3) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 298.86/67.68 | all_1329_3, all_1329_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 298.86/67.68 | (hAPP(all_1329_1, v0) = v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: $i]
% 298.86/67.68 | : ((c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v3 &
% 298.86/67.68 | $i(v3) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 298.86/67.68 | v3, all_1329_0)) |
% 298.86/67.68 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v0) = v2 &
% 298.86/67.68 | $i(v2) & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 298.86/67.68 | v2, all_1329_2))))
% 298.86/67.68 |
% 298.86/67.68 | ALPHA: (420) implies:
% 298.86/67.68 | (421) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1329_3
% 298.86/67.68 | (422) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 298.86/67.68 | all_1329_2
% 298.86/67.68 | (423) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = all_1329_1
% 298.86/67.68 |
% 298.86/67.68 | DELTA: instantiating (72) with fresh symbol all_1338_0 gives:
% 298.86/67.68 | (424) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1338_0 &
% 298.86/67.68 | $i(all_1338_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 298.86/67.68 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~
% 298.86/67.68 | $i(v1) | ~ $i(v0) | ~
% 298.86/67.68 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, all_1338_0)
% 298.86/67.68 | | ? [v3: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 298.86/67.68 | v1) = v3 & $i(v3) &
% 298.86/67.68 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3))) &
% 298.86/67.68 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 298.86/67.68 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~
% 298.86/67.68 | $i(v1) | ~ $i(v0) |
% 298.86/67.68 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, all_1338_0)
% 298.86/67.68 | | ? [v3: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 298.86/67.68 | v1) = v3 & $i(v3) & ~
% 298.86/67.68 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3)))
% 298.86/67.68 |
% 298.86/67.68 | ALPHA: (424) implies:
% 298.86/67.68 | (425) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1338_0
% 298.86/67.68 |
% 298.86/67.68 | DELTA: instantiating (71) with fresh symbol all_1341_0 gives:
% 298.86/67.68 | (426) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1341_0 &
% 298.86/67.68 | $i(all_1341_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 298.86/67.68 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~
% 298.86/67.68 | $i(v1) | ~ $i(v0) | ~
% 298.86/67.68 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1341_0, v2)
% 298.86/67.68 | | ? [v3: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 298.86/67.68 | v1) = v3 & $i(v3) &
% 298.86/67.68 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0))) &
% 298.86/67.68 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 298.86/67.68 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~
% 298.86/67.68 | $i(v1) | ~ $i(v0) |
% 298.86/67.68 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1341_0, v2)
% 298.86/67.68 | | ? [v3: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 298.86/67.68 | v1) = v3 & $i(v3) & ~
% 298.86/67.68 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0)))
% 298.86/67.68 |
% 298.86/67.68 | ALPHA: (426) implies:
% 298.86/67.68 | (427) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1341_0
% 298.86/67.68 |
% 298.86/67.68 | DELTA: instantiating (26) with fresh symbols all_1347_0, all_1347_1 gives:
% 298.86/67.68 | (428) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1347_0 &
% 298.86/67.68 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1347_1 &
% 298.86/67.68 | $i(all_1347_0) & $i(all_1347_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 298.86/67.68 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 298.86/67.68 | [v7: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v3, v1) = v4) | ~
% 298.86/67.68 | (c_RealVector_Onorm__class_Onorm(v3, v0) = v6) | ~ (hAPP(v5, v6) =
% 298.86/67.68 | v7) | ~ (hAPP(all_1347_0, v2) = v5) | ~ $i(v3) | ~ $i(v2) | ~
% 298.86/67.68 | $i(v1) | ~ $i(v0) | ~ class_RealVector_Oreal__normed__vector(v3)
% 298.86/67.68 | | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v7) |
% 298.86/67.68 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2,
% 298.86/67.68 | all_1347_1) | c_Groups_Ozero__class_Ozero(v3) = v1)
% 298.86/67.68 |
% 298.86/67.68 | ALPHA: (428) implies:
% 298.86/67.68 | (429) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1347_1
% 298.86/67.68 | (430) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1347_0
% 298.86/67.68 |
% 298.86/67.68 | DELTA: instantiating (74) with fresh symbol all_1350_0 gives:
% 298.86/67.68 | (431) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1350_0 &
% 298.86/67.68 | $i(all_1350_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 298.86/67.68 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~
% 298.86/67.68 | $i(v1) | ~ $i(v0) | ~
% 298.86/67.68 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, all_1350_0) |
% 298.86/67.68 | ? [v3: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1)
% 298.86/67.68 | = v3 & $i(v3) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 298.86/67.68 | v0, v3))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 298.86/67.68 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~
% 298.86/67.68 | $i(v1) | ~ $i(v0) |
% 298.86/67.68 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, all_1350_0) |
% 298.86/67.68 | ? [v3: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1)
% 298.86/67.68 | = v3 & $i(v3) & ~
% 298.86/67.68 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3)))
% 298.86/67.68 |
% 298.86/67.68 | ALPHA: (431) implies:
% 298.86/67.68 | (432) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1350_0
% 298.86/67.68 |
% 298.86/67.68 | DELTA: instantiating (94) with fresh symbols all_1353_0, all_1353_1,
% 298.86/67.68 | all_1353_2, all_1353_3 gives:
% 298.86/67.68 | (433) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = all_1353_1 &
% 298.86/67.68 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 298.86/67.68 | all_1353_2 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 298.86/67.68 | all_1353_3 & $i(all_1353_0) & $i(all_1353_1) & $i(all_1353_2) &
% 298.86/67.68 | $i(all_1353_3) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 298.86/67.68 | all_1353_3, all_1353_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 298.86/67.68 | (hAPP(all_1353_1, v0) = v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: $i]
% 298.86/67.68 | : ((c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v3 &
% 298.86/67.68 | $i(v3) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 298.86/67.68 | v3, all_1353_0)) |
% 298.86/67.68 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v0) = v2 &
% 298.86/67.68 | $i(v2) & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 298.86/67.68 | v2, all_1353_2))))
% 298.86/67.68 |
% 298.86/67.68 | ALPHA: (433) implies:
% 298.86/67.68 | (434) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1353_3
% 298.86/67.68 | (435) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 298.86/67.68 | all_1353_2
% 298.86/67.68 | (436) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = all_1353_1
% 298.86/67.68 |
% 298.86/67.68 | DELTA: instantiating (73) with fresh symbol all_1362_0 gives:
% 298.86/67.68 | (437) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1362_0 &
% 298.86/67.68 | $i(all_1362_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 298.86/67.68 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~
% 298.86/67.68 | $i(v1) | ~ $i(v0) | ~
% 298.86/67.68 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1362_0, v2) |
% 298.86/67.68 | ? [v3: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1)
% 298.86/67.68 | = v3 & $i(v3) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 298.86/67.68 | v3, v0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 298.86/67.68 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~
% 298.86/67.68 | $i(v1) | ~ $i(v0) |
% 298.86/67.68 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1362_0, v2) |
% 298.86/67.68 | ? [v3: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1)
% 298.86/67.68 | = v3 & $i(v3) & ~
% 298.86/67.68 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0)))
% 298.86/67.68 |
% 298.86/67.68 | ALPHA: (437) implies:
% 298.86/67.68 | (438) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1362_0
% 298.86/67.68 |
% 298.86/67.68 | DELTA: instantiating (139) with fresh symbol all_1365_0 gives:
% 298.86/67.68 | (439) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1365_0 &
% 298.86/67.68 | $i(all_1365_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 298.86/67.68 | $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v0) = v3) | ~
% 298.86/67.68 | (c_RComplete_Onatceiling(v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 298.86/67.69 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v0) | ~
% 298.86/67.69 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1365_0, v1)
% 298.86/67.69 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v3)) & !
% 298.86/67.69 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 298.86/67.69 | (c_RealDef_Oreal(tc_Nat_Onat, v0) = v3) | ~
% 298.86/67.69 | (c_RComplete_Onatceiling(v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 298.86/67.69 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v3) | ~
% 298.86/67.69 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1365_0, v1)
% 298.86/67.69 | | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v0))
% 298.86/67.69 |
% 298.86/67.69 | ALPHA: (439) implies:
% 298.86/67.69 | (440) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1365_0
% 298.86/67.69 |
% 298.86/67.69 | DELTA: instantiating (41) with fresh symbol all_1371_0 gives:
% 298.86/67.69 | (441) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1371_0 &
% 298.86/67.69 | $i(all_1371_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 298.86/67.69 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 298.86/67.69 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v6) = v7) | ~
% 298.86/67.69 | (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_1371_0,
% 298.86/67.69 | v2) = v3) | ~ (hAPP(all_1371_0, v1) = v5) | ~ $i(v2) | ~
% 298.86/67.69 | $i(v1) | ~ $i(v0) | ? [v8: $i] : ? [v9: $i] :
% 298.86/67.69 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v8 &
% 298.86/67.69 | hAPP(v9, v0) = v7 & hAPP(all_1371_0, v8) = v9 & $i(v9) & $i(v8) &
% 298.86/67.69 | $i(v7)))
% 298.86/67.69 |
% 298.86/67.69 | ALPHA: (441) implies:
% 298.86/67.69 | (442) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1371_0
% 298.86/67.69 |
% 298.86/67.69 | DELTA: instantiating (131) with fresh symbols all_1374_0, all_1374_1 gives:
% 298.86/67.69 | (443) c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1374_1 &
% 298.86/67.69 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1374_0 &
% 298.86/67.69 | $i(all_1374_0) & $i(all_1374_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 298.86/67.69 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 298.86/67.69 | (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2) | ~
% 298.86/67.69 | (c_RealDef_Oreal(tc_Nat_Onat, v0) = v4) | ~ (hAPP(v3, v4) = v5) |
% 298.86/67.69 | ~ (hAPP(all_1374_0, v2) = v3) | ~ $i(v1) | ~ $i(v0) | ? [v6: $i]
% 298.86/67.69 | : ? [v7: $i] : (c_RealDef_Oreal(tc_Nat_Onat, v7) = v5 & hAPP(v6,
% 298.86/67.69 | v0) = v7 & hAPP(all_1374_1, v1) = v6 & $i(v7) & $i(v6) &
% 298.86/67.69 | $i(v5)))
% 298.86/67.69 |
% 298.86/67.69 | ALPHA: (443) implies:
% 298.86/67.69 | (444) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1374_0
% 298.86/67.69 |
% 298.86/67.69 | DELTA: instantiating (33) with fresh symbols all_1377_0, all_1377_1 gives:
% 298.86/67.69 | (445) c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1377_0 &
% 298.86/67.69 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1377_1 & $i(all_1377_0)
% 298.86/67.69 | & $i(all_1377_1) & ! [v0: $i] : ! [v1: any] : ! [v2: $i] : (v1 =
% 298.86/67.69 | all_1377_1 | ~ (hAPP(v2, v0) = all_1377_1) | ~ (hAPP(all_1377_0,
% 298.86/67.69 | v1) = v2) | ~ $i(v1) | ~ $i(v0)) & ! [v0: any] : ! [v1: $i]
% 298.86/67.69 | : ! [v2: $i] : (v0 = all_1377_1 | ~ (hAPP(v2, v0) = all_1377_1) |
% 298.86/67.69 | ~ (hAPP(all_1377_0, v1) = v2) | ~ $i(v1) | ~ $i(v0)) & ! [v0:
% 298.86/67.69 | $i] : ! [v1: int] : (v1 = all_1377_1 | ~ (hAPP(v0, all_1377_1) =
% 298.86/67.69 | v1) | ~ (hAPP(all_1377_0, all_1377_1) = v0))
% 298.86/67.69 |
% 298.86/67.69 | ALPHA: (445) implies:
% 298.86/67.69 | (446) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1377_1
% 298.86/67.69 |
% 298.86/67.69 | DELTA: instantiating (35) with fresh symbols all_1380_0, all_1380_1 gives:
% 298.86/67.69 | (447) c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1380_1 &
% 298.86/67.69 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1380_0 & $i(all_1380_0)
% 298.86/67.69 | & $i(all_1380_1) & ! [v0: $i] : ! [v1: any] : ! [v2: $i] : (v1 =
% 298.86/67.69 | all_1380_0 | ~ (hAPP(v2, v0) = all_1380_0) | ~ (hAPP(all_1380_1,
% 298.86/67.69 | v1) = v2) | ~ $i(v1) | ~ $i(v0)) & ! [v0: any] : ! [v1: $i]
% 298.86/67.69 | : ! [v2: $i] : (v0 = all_1380_0 | ~ (hAPP(v2, v0) = all_1380_0) |
% 298.86/67.69 | ~ (hAPP(all_1380_1, v1) = v2) | ~ $i(v1) | ~ $i(v0)) & ! [v0:
% 298.86/67.69 | $i] : ! [v1: int] : (v1 = all_1380_0 | ~ (hAPP(v0, all_1380_0) =
% 298.86/67.69 | v1) | ~ (hAPP(all_1380_1, all_1380_0) = v0))
% 298.86/67.69 |
% 298.86/67.69 | ALPHA: (447) implies:
% 298.86/67.69 | (448) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1380_0
% 298.86/67.69 |
% 298.86/67.69 | DELTA: instantiating (59) with fresh symbol all_1383_0 gives:
% 298.86/67.69 | (449) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1383_0 &
% 298.86/67.69 | $i(all_1383_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 298.86/67.69 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 298.86/67.69 | (c_RealVector_Oof__real(v2, v1) = v4) | ~
% 298.86/67.69 | (c_RealVector_Oof__real(v2, v0) = v6) | ~
% 298.86/67.69 | (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v5, v6) = v7) |
% 298.86/67.69 | ~ (hAPP(v3, v4) = v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 298.86/67.69 | class_RealVector_Oreal__algebra__1(v2) | ? [v8: $i] : ? [v9: $i]
% 298.86/67.69 | : (c_RealVector_Oof__real(v2, v9) = v7 & hAPP(v8, v0) = v9 &
% 298.86/67.69 | hAPP(all_1383_0, v1) = v8 & $i(v9) & $i(v8) & $i(v7)))
% 298.86/67.69 |
% 298.86/67.69 | ALPHA: (449) implies:
% 298.86/67.69 | (450) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1383_0
% 298.86/67.69 |
% 298.86/67.69 | DELTA: instantiating (61) with fresh symbol all_1389_0 gives:
% 298.86/67.69 | (451) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1389_0 &
% 298.86/67.69 | $i(all_1389_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 298.86/67.69 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (c_RealVector_Oof__real(v2,
% 298.86/67.69 | v4) = v5) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_1389_0, v1) =
% 298.86/67.69 | v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 298.86/67.69 | class_RealVector_Oreal__algebra__1(v2) | ? [v6: $i] : ? [v7: $i]
% 298.86/67.69 | : ? [v8: $i] : (c_RealVector_Oof__real(v2, v1) = v7 &
% 298.86/67.69 | c_Power_Opower__class_Opower(v2) = v6 & hAPP(v8, v0) = v5 &
% 298.86/67.69 | hAPP(v6, v7) = v8 & $i(v8) & $i(v7) & $i(v6) & $i(v5)))
% 298.86/67.69 |
% 298.86/67.69 | ALPHA: (451) implies:
% 298.86/67.69 | (452) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1389_0
% 298.86/67.69 |
% 298.86/67.69 | DELTA: instantiating (9) with fresh symbol all_1395_0 gives:
% 298.86/67.69 | (453) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1395_0 &
% 298.86/67.69 | $i(all_1395_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 298.86/67.69 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 298.86/67.69 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ (hAPP(v4, v0) =
% 298.86/67.69 | v5) | ~ (hAPP(all_1395_0, v3) = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 298.86/67.69 | $i(v0) | ~ class_RealVector_Oreal__normed__div__algebra(v2) | ?
% 298.86/67.69 | [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 298.86/67.69 | (c_RealVector_Onorm__class_Onorm(v2, v8) = v5 &
% 298.86/67.69 | c_Power_Opower__class_Opower(v2) = v6 & hAPP(v7, v0) = v8 &
% 298.86/67.69 | hAPP(v6, v1) = v7 & $i(v8) & $i(v7) & $i(v6) & $i(v5)))
% 298.86/67.69 |
% 298.86/67.69 | ALPHA: (453) implies:
% 298.86/67.69 | (454) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1395_0
% 298.86/67.69 |
% 298.86/67.69 | DELTA: instantiating (29) with fresh symbols all_1398_0, all_1398_1,
% 298.86/67.69 | all_1398_2, all_1398_3, all_1398_4, all_1398_5, all_1398_6, all_1398_7
% 298.86/67.69 | gives:
% 298.86/67.69 | (455) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1398_6 &
% 298.86/67.69 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, all_1398_7,
% 298.86/67.69 | all_1398_1) = all_1398_0 &
% 298.86/67.69 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1398_0 &
% 298.86/67.69 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1398_5 &
% 298.86/67.69 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1398_7 &
% 298.86/67.69 | hAPP(all_1398_2, v_a____) = all_1398_1 & hAPP(all_1398_4, v_k____) =
% 298.86/67.69 | all_1398_3 & hAPP(all_1398_5, v_w____) = all_1398_4 &
% 298.86/67.69 | hAPP(all_1398_6, all_1398_3) = all_1398_2 & $i(all_1398_0) &
% 298.86/67.69 | $i(all_1398_1) & $i(all_1398_2) & $i(all_1398_3) & $i(all_1398_4) &
% 298.86/67.69 | $i(all_1398_5) & $i(all_1398_6) & $i(all_1398_7)
% 298.86/67.69 |
% 298.86/67.69 | ALPHA: (455) implies:
% 298.86/67.69 | (456) c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1398_5
% 298.86/67.69 | (457) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1398_6
% 298.86/67.69 |
% 298.86/67.69 | DELTA: instantiating (51) with fresh symbols all_1406_0, all_1406_1,
% 298.86/67.69 | all_1406_2, all_1406_3, all_1406_4, all_1406_5, all_1406_6, all_1406_7,
% 298.86/67.69 | all_1406_8 gives:
% 298.86/67.69 | (458) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1406_7 &
% 298.86/67.69 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, all_1406_8,
% 298.86/67.69 | all_1406_0) = all_1406_5 &
% 298.86/67.69 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1406_5 &
% 298.86/67.69 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1406_6 &
% 298.86/67.69 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1406_8 &
% 298.86/67.69 | hAPP(all_1406_1, v_a____) = all_1406_0 & hAPP(all_1406_3, v_k____) =
% 298.86/67.69 | all_1406_2 & hAPP(all_1406_6, all_1406_4) = all_1406_3 &
% 298.86/67.69 | hAPP(all_1406_7, all_1406_2) = all_1406_1 & $i(all_1406_0) &
% 298.86/67.69 | $i(all_1406_1) & $i(all_1406_2) & $i(all_1406_3) & $i(all_1406_4) &
% 298.86/67.69 | $i(all_1406_5) & $i(all_1406_6) & $i(all_1406_7) & $i(all_1406_8)
% 298.86/67.69 |
% 298.86/67.69 | ALPHA: (458) implies:
% 298.86/67.69 | (459) c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1406_6
% 298.86/67.69 | (460) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1406_7
% 298.86/67.69 |
% 298.86/67.69 | DELTA: instantiating (21) with fresh symbol all_1408_0 gives:
% 298.86/67.69 | (461) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1408_0 &
% 298.86/67.69 | $i(all_1408_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 298.86/67.69 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 298.86/67.69 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ (hAPP(v4, v0) =
% 298.86/67.69 | v5) | ~ (hAPP(all_1408_0, v3) = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 298.86/67.69 | $i(v0) | ~ class_RealVector_Oreal__normed__algebra__1(v2) | ?
% 298.86/67.69 | [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 298.86/67.69 | (c_RealVector_Onorm__class_Onorm(v2, v8) = v9 &
% 298.86/67.69 | c_Power_Opower__class_Opower(v2) = v6 & hAPP(v7, v0) = v8 &
% 298.86/67.69 | hAPP(v6, v1) = v7 & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 298.86/67.69 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v9, v5)))
% 298.86/67.69 |
% 298.86/67.69 | ALPHA: (461) implies:
% 298.86/67.69 | (462) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1408_0
% 298.86/67.69 |
% 298.86/67.69 | DELTA: instantiating (105) with fresh symbols all_1414_0, all_1414_1 gives:
% 298.86/67.69 | (463) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1414_0 &
% 298.86/67.69 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1414_1 &
% 298.86/67.69 | $i(all_1414_0) & $i(all_1414_1) & ! [v0: $i] : ( ~ $i(v0) | ~
% 298.86/67.69 | class_RealVector_Oreal__algebra__1(v0) | ~
% 298.86/67.69 | class_RealVector_Oreal__normed__vector(v0) | ? [v1: $i] : ($i(v1)
% 298.86/67.69 | & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1414_1, v1)
% 298.86/67.69 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 298.86/67.69 | (c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal, v2) = v3) |
% 298.86/67.69 | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(all_1414_0, v3) = v4) | ~
% 298.86/67.69 | $i(v2) | ? [v6: $i] : ? [v7: $i] :
% 298.86/67.69 | (c_RealVector_Oof__real(v0, v2) = v6 &
% 298.86/67.69 | c_RealVector_Onorm__class_Onorm(v0, v6) = v7 & $i(v7) &
% 298.86/67.69 | $i(v6) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 298.86/67.69 | v7, v5)))))
% 298.86/67.69 |
% 298.86/67.69 | ALPHA: (463) implies:
% 298.86/67.69 | (464) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1414_1
% 298.86/67.69 | (465) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1414_0
% 298.86/67.69 |
% 298.86/67.69 | DELTA: instantiating (137) with fresh symbol all_1423_0 gives:
% 298.86/67.69 | (466) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1423_0 &
% 298.86/67.69 | $i(all_1423_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 298.86/67.69 | $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2) | ~
% 298.86/67.69 | (c_RealDef_Oreal(tc_Nat_Onat, v0) = v3) | ~ $i(v1) | ~ $i(v0) |
% 298.86/67.69 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | ? [v4:
% 298.86/67.69 | $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3,
% 298.86/67.69 | all_1423_0) = v4 & $i(v4) &
% 298.86/67.69 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v4))) & !
% 298.86/67.69 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 298.86/67.69 | (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2) | ~
% 298.86/67.69 | (c_RealDef_Oreal(tc_Nat_Onat, v0) = v3) | ~ $i(v1) | ~ $i(v0) |
% 298.86/67.69 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | ? [v4:
% 298.86/67.69 | $i] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3,
% 298.86/67.69 | all_1423_0) = v4 & $i(v4) & ~
% 298.86/67.69 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v4)))
% 298.86/67.69 |
% 298.86/67.69 | ALPHA: (466) implies:
% 298.86/67.69 | (467) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1423_0
% 298.86/67.69 |
% 298.86/67.69 | DELTA: instantiating (136) with fresh symbol all_1438_0 gives:
% 298.86/67.69 | (468) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1438_0 &
% 298.86/67.69 | $i(all_1438_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 298.86/67.69 | $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2) | ~
% 298.86/67.69 | (c_RealDef_Oreal(tc_Nat_Onat, v0) = v3) | ~ $i(v1) | ~ $i(v0) |
% 298.86/67.69 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | ? [v4: $i]
% 298.86/67.69 | : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, all_1438_0) =
% 298.86/67.69 | v4 & $i(v4) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 298.86/67.69 | v4, v3))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 298.86/67.69 | $i] : ( ~ (c_RealDef_Oreal(tc_Nat_Onat, v1) = v2) | ~
% 298.86/67.69 | (c_RealDef_Oreal(tc_Nat_Onat, v0) = v3) | ~ $i(v1) | ~ $i(v0) |
% 298.86/67.69 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | ? [v4: $i] :
% 298.86/67.69 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, all_1438_0) = v4
% 298.86/67.69 | & $i(v4) & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 298.86/67.69 | v4, v3)))
% 298.86/67.69 |
% 298.86/67.69 | ALPHA: (468) implies:
% 298.86/67.69 | (469) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1438_0
% 298.86/67.69 |
% 298.86/67.69 | DELTA: instantiating (112) with fresh symbols all_1441_0, all_1441_1 gives:
% 298.86/67.69 | (470) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1441_0 &
% 298.86/67.69 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1441_1 &
% 298.86/67.69 | $i(all_1441_0) & $i(all_1441_1) & ! [v0: $i] : ( ~ $i(v0) | ~
% 298.86/67.69 | class_RealVector_Oreal__algebra__1(v0) | ~
% 298.86/67.69 | class_RealVector_Oreal__normed__vector(v0) | ? [v1: $i] : ($i(v1)
% 298.86/67.69 | & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1441_1,
% 298.86/67.69 | v1) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (
% 298.86/67.69 | ~ (c_RealVector_Onorm__class_Onorm(tc_RealDef_Oreal, v2) = v3)
% 298.86/67.69 | | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(all_1441_0, v3) = v4) | ~
% 298.86/67.69 | $i(v2) | ? [v6: $i] : ? [v7: $i] :
% 298.86/67.69 | (c_RealVector_Oof__real(v0, v2) = v6 &
% 298.86/67.69 | c_RealVector_Onorm__class_Onorm(v0, v6) = v7 & $i(v7) &
% 298.86/67.69 | $i(v6) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 298.86/67.69 | v7, v5)))))
% 298.86/67.69 |
% 298.86/67.69 | ALPHA: (470) implies:
% 298.86/67.69 | (471) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1441_1
% 298.86/67.69 | (472) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1441_0
% 298.86/67.69 |
% 298.86/67.69 | DELTA: instantiating (80) with fresh symbols all_1444_0, all_1444_1 gives:
% 298.86/67.69 | (473) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1444_1 &
% 298.86/67.69 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1444_0 & $i(all_1444_0)
% 298.86/67.69 | & $i(all_1444_1) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 298.86/67.69 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 298.86/67.69 | [v8: $i] : ! [v9: $i] : ( ~
% 298.86/67.69 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, all_1444_0) = v6) |
% 298.86/67.69 | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~
% 298.86/67.69 | (c_Power_Opower__class_Opower(v2) = v4) | ~ (hAPP(v8, v0) = v9) |
% 298.86/67.69 | ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v7) =
% 298.86/67.69 | v8) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 298.86/67.69 | class_Groups_Omonoid__mult(v2) | ~
% 298.86/67.69 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1444_1, v1) |
% 298.86/67.69 | (hAPP(v5, v1) = v9 & $i(v9)))
% 298.86/67.69 |
% 298.86/67.69 | ALPHA: (473) implies:
% 298.86/67.69 | (474) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1444_0
% 298.86/67.69 |
% 298.86/67.69 | DELTA: instantiating (11) with fresh symbol all_1450_0 gives:
% 298.86/67.69 | (475) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1450_0 &
% 298.86/67.69 | $i(all_1450_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 298.86/67.69 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 298.86/67.69 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~
% 298.86/67.69 | (c_RealVector_Onorm__class_Onorm(v2, v0) = v5) | ~ (hAPP(v4, v5) =
% 298.86/67.69 | v6) | ~ (hAPP(all_1450_0, v3) = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 298.86/67.69 | $i(v0) | ~ class_RealVector_Oreal__normed__div__algebra(v2) | ?
% 298.86/67.69 | [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 298.86/67.69 | (c_Groups_Otimes__class_Otimes(v2) = v7 &
% 298.86/67.69 | c_RealVector_Onorm__class_Onorm(v2, v9) = v6 & hAPP(v8, v0) = v9
% 298.86/67.69 | & hAPP(v7, v1) = v8 & $i(v9) & $i(v8) & $i(v7) & $i(v6)))
% 298.86/67.69 |
% 298.86/67.69 | ALPHA: (475) implies:
% 298.86/67.69 | (476) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1450_0
% 298.86/67.69 |
% 298.86/67.69 | DELTA: instantiating (134) with fresh symbols all_1455_0, all_1455_1 gives:
% 298.86/67.69 | (477) c_Power_Opower__class_Opower(tc_Nat_Onat) = all_1455_0 &
% 298.86/67.69 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1455_1 &
% 298.86/67.69 | $i(all_1455_0) & $i(all_1455_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 298.86/67.69 | $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (c_RComplete_Onatfloor(v1) =
% 298.86/67.69 | v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_1455_0, v2) = v3) |
% 298.86/67.69 | ~ $i(v1) | ~ $i(v0) | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ?
% 298.86/67.69 | [v8: $i] : ((v8 = v4 & c_RComplete_Onatfloor(v7) = v4 & hAPP(v6,
% 298.86/67.69 | v0) = v7 & hAPP(all_1455_1, v1) = v6 & $i(v7) & $i(v6) &
% 298.86/67.69 | $i(v4)) | ( ~ (v5 = v1) & c_RealDef_Oreal(tc_Nat_Onat, v2) = v5
% 298.86/67.69 | & $i(v5))))
% 298.86/67.69 |
% 298.86/67.69 | ALPHA: (477) implies:
% 298.86/67.69 | (478) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1455_1
% 298.86/67.69 |
% 298.86/67.69 | DELTA: instantiating (97) with fresh symbols all_1458_0, all_1458_1,
% 298.86/67.69 | all_1458_2, all_1458_3, all_1458_4, all_1458_5, all_1458_6, all_1458_7,
% 298.86/67.69 | all_1458_8 gives:
% 298.86/67.70 | (479) c_Polynomial_Osmult(tc_Complex_Ocomplex, all_1458_1, v_q____) =
% 298.86/67.70 | all_1458_0 &
% 298.86/67.70 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 298.86/67.70 | all_1458_0) = all_1458_5 &
% 298.86/67.70 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 298.86/67.70 | v_s____) = all_1458_8 & c_Polynomial_Opoly(tc_Complex_Ocomplex,
% 298.86/67.70 | v_q____) = all_1458_4 &
% 298.86/67.70 | c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, all_1458_2) =
% 298.86/67.70 | all_1458_1 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_1458_7,
% 298.86/67.70 | all_1458_6) = all_1458_5 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat,
% 298.86/67.70 | all_1458_8, v_k____) = all_1458_7 &
% 298.86/67.70 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1458_3 &
% 298.86/67.70 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1458_6 &
% 298.86/67.70 | hAPP(all_1458_4, all_1458_3) = all_1458_2 & $i(all_1458_0) &
% 298.86/67.70 | $i(all_1458_1) & $i(all_1458_2) & $i(all_1458_3) & $i(all_1458_4) &
% 298.86/67.70 | $i(all_1458_5) & $i(all_1458_6) & $i(all_1458_7) & $i(all_1458_8)
% 298.86/67.70 |
% 298.86/67.70 | ALPHA: (479) implies:
% 298.86/67.70 | (480) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1458_6
% 298.86/67.70 |
% 298.86/67.70 | DELTA: instantiating (20) with fresh symbol all_1460_0 gives:
% 298.86/67.70 | (481) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1460_0 &
% 298.86/67.70 | $i(all_1460_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 298.86/67.70 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 298.86/67.70 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~
% 298.86/67.70 | (c_RealVector_Onorm__class_Onorm(v2, v0) = v5) | ~ (hAPP(v4, v5) =
% 298.86/67.70 | v6) | ~ (hAPP(all_1460_0, v3) = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 298.86/67.70 | $i(v0) | ~ class_RealVector_Oreal__normed__algebra(v2) | ? [v7:
% 298.86/67.70 | $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] :
% 298.86/67.70 | (c_Groups_Otimes__class_Otimes(v2) = v7 &
% 298.86/67.70 | c_RealVector_Onorm__class_Onorm(v2, v9) = v10 & hAPP(v8, v0) = v9
% 298.86/67.70 | & hAPP(v7, v1) = v8 & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 298.86/67.70 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, v6)))
% 298.86/67.70 |
% 298.86/67.70 | ALPHA: (481) implies:
% 298.86/67.70 | (482) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1460_0
% 298.86/67.70 |
% 298.86/67.70 | DELTA: instantiating (99) with fresh symbols all_1466_0, all_1466_1,
% 298.86/67.70 | all_1466_2, all_1466_3, all_1466_4, all_1466_5, all_1466_6, all_1466_7,
% 298.86/67.70 | all_1466_8 gives:
% 298.86/67.70 | (483) c_Polynomial_Osmult(tc_Complex_Ocomplex, all_1466_4, v_q____) =
% 298.86/67.70 | all_1466_3 & c_Polynomial_Opoly(tc_Complex_Ocomplex, all_1466_3) =
% 298.86/67.70 | all_1466_2 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) =
% 298.86/67.70 | all_1466_8 & c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,
% 298.86/67.70 | all_1466_6) = all_1466_4 &
% 298.86/67.70 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1466_5 &
% 298.86/67.70 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1466_7 &
% 298.86/67.70 | hAPP(all_1466_0, all_1466_6) = all_1466_6 & hAPP(all_1466_2,
% 298.86/67.70 | all_1466_7) = all_1466_1 & hAPP(all_1466_5, all_1466_1) =
% 298.86/67.70 | all_1466_0 & hAPP(all_1466_8, all_1466_7) = all_1466_6 &
% 298.86/67.70 | $i(all_1466_0) & $i(all_1466_1) & $i(all_1466_2) & $i(all_1466_3) &
% 298.86/67.70 | $i(all_1466_4) & $i(all_1466_5) & $i(all_1466_6) & $i(all_1466_7) &
% 298.86/67.70 | $i(all_1466_8)
% 298.86/67.70 |
% 298.86/67.70 | ALPHA: (483) implies:
% 298.86/67.70 | (484) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1466_5
% 298.86/67.70 |
% 298.86/67.70 | DELTA: instantiating (17) with fresh symbol all_1471_0 gives:
% 298.86/67.70 | (485) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1471_0 &
% 298.86/67.70 | $i(all_1471_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 298.86/67.70 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 298.86/67.70 | (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v0) = v5) |
% 298.86/67.70 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 298.86/67.70 | class_Rings_Ozero__neq__one(v2) | ~
% 298.86/67.70 | class_Rings_Ono__zero__divisors(v2) | ~
% 298.86/67.70 | class_Rings_Omult__zero(v2) | ~ class_Power_Opower(v2) | ? [v6:
% 298.86/67.70 | $i] : (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~ (v6 =
% 298.86/67.70 | v5) | (v5 = v1 & ~ (v0 = all_1471_0))) & ( ~ (v6 = v1) | v5
% 298.86/67.70 | = v1 | v0 = all_1471_0)))
% 298.86/67.70 |
% 298.86/67.70 | ALPHA: (485) implies:
% 298.86/67.70 | (486) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 298.86/67.70 | ! [v5: $i] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~
% 298.86/67.70 | (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~
% 298.86/67.70 | $i(v1) | ~ $i(v0) | ~ class_Rings_Ozero__neq__one(v2) | ~
% 298.86/67.70 | class_Rings_Ono__zero__divisors(v2) | ~
% 298.86/67.70 | class_Rings_Omult__zero(v2) | ~ class_Power_Opower(v2) | ? [v6:
% 298.86/67.70 | $i] : (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~ (v6 =
% 298.86/67.70 | v5) | (v5 = v1 & ~ (v0 = all_1471_0))) & ( ~ (v6 = v1) | v5
% 298.86/67.70 | = v1 | v0 = all_1471_0)))
% 298.86/67.70 |
% 298.86/67.70 | DELTA: instantiating (115) with fresh symbols all_1480_0, all_1480_1 gives:
% 298.86/67.70 | (487) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1480_0 &
% 298.86/67.70 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1480_1 &
% 298.86/67.70 | $i(all_1480_0) & $i(all_1480_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 298.86/67.70 | $i] : ! [v3: $i] : ( ~ (c_Groups_Otimes__class_Otimes(v1) = v2) |
% 298.86/67.70 | ~ (hAPP(v2, v0) = v3) | ~ $i(v1) | ~ $i(v0) | ~
% 298.86/67.70 | class_RealVector_Oreal__normed__algebra(v1) | ? [v4: $i] : ($i(v4)
% 298.86/67.70 | & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1480_1, v4)
% 298.86/67.70 | & ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~
% 298.86/67.70 | (c_RealVector_Onorm__class_Onorm(v1, v5) = v6) | ~ (hAPP(v7,
% 298.86/67.70 | v4) = v8) | ~ (hAPP(all_1480_0, v6) = v7) | ~ $i(v5) | ?
% 298.86/67.70 | [v9: $i] : ? [v10: $i] : (c_RealVector_Onorm__class_Onorm(v1,
% 298.86/67.70 | v9) = v10 & hAPP(v3, v5) = v9 & $i(v10) & $i(v9) &
% 298.86/67.70 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10,
% 298.86/67.70 | v8)))))
% 298.86/67.70 |
% 298.86/67.70 | ALPHA: (487) implies:
% 298.86/67.70 | (488) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1480_1
% 298.86/67.70 | (489) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1480_0
% 298.86/67.70 |
% 298.86/67.70 | DELTA: instantiating (114) with fresh symbols all_1483_0, all_1483_1 gives:
% 298.86/67.70 | (490) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1483_0 &
% 298.86/67.70 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1483_1 &
% 298.86/67.70 | $i(all_1483_0) & $i(all_1483_1) & ? [v0: $i] : ! [v1: $i] : ! [v2:
% 298.86/67.70 | $i] : ( ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ $i(v1) | ~
% 298.86/67.70 | $i(v0) | ~ class_RealVector_Oreal__normed__algebra(v1) | ? [v3:
% 298.86/67.70 | $i] : ($i(v3) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 298.86/67.70 | all_1483_1, v3) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 298.86/67.70 | [v7: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v1, v4) = v5) |
% 298.86/67.70 | ~ (hAPP(v6, v3) = v7) | ~ (hAPP(all_1483_0, v5) = v6) | ~
% 298.86/67.70 | $i(v4) | ? [v8: $i] : ? [v9: $i] : ? [v10: $i] :
% 298.86/67.70 | (c_RealVector_Onorm__class_Onorm(v1, v9) = v10 & hAPP(v8, v0) =
% 298.86/67.70 | v9 & hAPP(v2, v4) = v8 & $i(v10) & $i(v9) & $i(v8) &
% 298.86/67.70 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10,
% 298.86/67.70 | v7)))))
% 298.86/67.70 |
% 298.86/67.70 | ALPHA: (490) implies:
% 298.86/67.70 | (491) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1483_1
% 298.86/67.70 | (492) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1483_0
% 298.86/67.70 |
% 298.86/67.70 | DELTA: instantiating (100) with fresh symbols all_1485_0, all_1485_1,
% 298.86/67.70 | all_1485_2, all_1485_3, all_1485_4, all_1485_5, all_1485_6 gives:
% 298.86/67.70 | (493) c_Polynomial_Osmult(tc_Complex_Ocomplex, all_1485_2, v_q____) =
% 298.86/67.70 | all_1485_1 & c_Polynomial_Opoly(tc_Complex_Ocomplex, all_1485_1) =
% 298.86/67.70 | all_1485_0 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) =
% 298.86/67.70 | all_1485_6 & c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,
% 298.86/67.70 | all_1485_3) = all_1485_2 &
% 298.86/67.70 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1485_5 &
% 298.86/67.70 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1485_4 &
% 298.86/67.70 | hAPP(all_1485_6, all_1485_4) = all_1485_3 & $i(all_1485_0) &
% 298.86/67.70 | $i(all_1485_1) & $i(all_1485_2) & $i(all_1485_3) & $i(all_1485_4) &
% 298.86/67.70 | $i(all_1485_5) & $i(all_1485_6) & ! [v0: $i] : ! [v1: $i] : ( ~
% 298.86/67.70 | (hAPP(all_1485_0, v0) = v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: $i]
% 298.86/67.70 | : (hAPP(v3, all_1485_3) = v2 & hAPP(all_1485_5, v1) = v3 &
% 298.86/67.70 | hAPP(all_1485_6, v0) = v2 & $i(v3) & $i(v2)))
% 298.86/67.70 |
% 298.86/67.70 | ALPHA: (493) implies:
% 298.86/67.70 | (494) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1485_5
% 298.86/67.70 |
% 298.86/67.70 | DELTA: instantiating (52) with fresh symbols all_1491_0, all_1491_1,
% 298.86/67.70 | all_1491_2, all_1491_3, all_1491_4, all_1491_5, all_1491_6, all_1491_7,
% 298.86/67.70 | all_1491_8, all_1491_9 gives:
% 298.86/67.70 | (495) c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, all_1491_0,
% 298.86/67.70 | all_1491_9) = all_1491_1 &
% 298.86/67.70 | c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, all_1491_2,
% 298.86/67.70 | all_1491_9) = all_1491_1 &
% 298.86/67.70 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1491_8 &
% 298.86/67.70 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, all_1491_9,
% 298.86/67.70 | all_1491_3) = all_1491_2 &
% 298.86/67.70 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1491_0 &
% 298.86/67.70 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1491_7 &
% 298.86/67.70 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1491_9 &
% 298.86/67.70 | hAPP(all_1491_4, v_a____) = all_1491_3 & hAPP(all_1491_6, v_k____) =
% 298.86/67.70 | all_1491_5 & hAPP(all_1491_7, v_w____) = all_1491_6 &
% 298.86/67.70 | hAPP(all_1491_8, all_1491_5) = all_1491_4 & $i(all_1491_0) &
% 298.86/67.70 | $i(all_1491_1) & $i(all_1491_2) & $i(all_1491_3) & $i(all_1491_4) &
% 298.86/67.70 | $i(all_1491_5) & $i(all_1491_6) & $i(all_1491_7) & $i(all_1491_8) &
% 298.86/67.70 | $i(all_1491_9)
% 298.86/67.70 |
% 298.86/67.70 | ALPHA: (495) implies:
% 298.86/67.70 | (496) c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1491_7
% 298.86/67.70 | (497) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1491_8
% 298.86/67.70 |
% 298.86/67.70 | DELTA: instantiating (8) with fresh symbol all_1493_0 gives:
% 298.86/67.70 | (498) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1493_0 &
% 298.86/67.70 | $i(all_1493_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 298.86/67.70 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 298.86/67.70 | [v8: $i] : ! [v9: $i] : ! [v10: $i] : ( ~
% 298.86/67.70 | (c_Groups_Otimes__class_Otimes(v4) = v5) | ~
% 298.86/67.70 | (c_RealVector_Onorm__class_Onorm(v4, v7) = v8) | ~ (hAPP(v9, v0) =
% 298.86/67.70 | v10) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v3) = v6) | ~
% 298.86/67.70 | (hAPP(all_1493_0, v2) = v9) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) |
% 298.86/67.70 | ~ $i(v1) | ~ $i(v0) | ~
% 298.86/67.70 | class_RealVector_Oreal__normed__algebra(v4) |
% 298.86/67.70 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v10) | ? [v11:
% 298.86/67.70 | $i] : ? [v12: $i] : ((c_RealVector_Onorm__class_Onorm(v4, v3) =
% 298.86/67.70 | v11 & $i(v11) & ~
% 298.86/67.70 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11, v2)) |
% 298.86/67.70 | (c_RealVector_Onorm__class_Onorm(v4, v1) = v12 & $i(v12) & ~
% 298.86/67.70 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12, v0))))
% 298.86/67.70 |
% 298.86/67.70 | ALPHA: (498) implies:
% 298.86/67.70 | (499) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1493_0
% 298.86/67.70 |
% 298.86/67.70 | DELTA: instantiating (77) with fresh symbols all_1496_0, all_1496_1,
% 298.86/67.70 | all_1496_2 gives:
% 298.86/67.70 | (500) c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1496_1 &
% 298.86/67.70 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1496_2 &
% 298.86/67.70 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1496_0 & $i(all_1496_0)
% 298.86/67.70 | & $i(all_1496_1) & $i(all_1496_2) & ! [v0: $i] : ! [v1: any] : !
% 298.86/67.70 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v1 = all_1496_2
% 298.86/67.70 | | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, all_1496_0) =
% 298.86/67.70 | v2) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v4) = v5)
% 298.86/67.70 | | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_1496_1, v2) = v3) | ~
% 298.86/67.70 | $i(v1) | ~ $i(v0) | ? [v6: $i] : (hAPP(v6, v0) = v5 &
% 298.86/67.70 | hAPP(all_1496_1, v1) = v6 & $i(v6) & $i(v5))) & ! [v0: $i] : !
% 298.86/67.70 | [v1: $i] : ! [v2: int] : (v2 = all_1496_2 | ~ (hAPP(v1, v0) = v2) |
% 298.86/67.70 | ~ (hAPP(all_1496_1, all_1496_2) = v1) | ~ $i(v0))
% 298.86/67.70 |
% 298.86/67.70 | ALPHA: (500) implies:
% 298.86/67.70 | (501) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1496_0
% 298.86/67.70 |
% 298.86/67.70 | DELTA: instantiating (122) with fresh symbols all_1499_0, all_1499_1,
% 298.86/67.70 | all_1499_2 gives:
% 298.86/67.70 | (502) c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1499_1 &
% 298.86/67.70 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1499_0 &
% 298.86/67.70 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1499_2 &
% 298.86/67.70 | $i(all_1499_0) & $i(all_1499_1) & $i(all_1499_2) & ! [v0: $i] : !
% 298.86/67.70 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (
% 298.86/67.70 | ~ (c_RComplete_Onatfloor(v1) = v2) | ~ (c_RComplete_Onatfloor(v0)
% 298.86/67.70 | = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(all_1499_1, v2) = v3) |
% 298.86/67.70 | ~ $i(v1) | ~ $i(v0) | ~
% 298.86/67.70 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1499_2, v1)
% 298.86/67.70 | | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 298.86/67.70 | all_1499_2, v0) | ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 298.86/67.70 | (c_RComplete_Onatfloor(v7) = v8 & hAPP(v6, v0) = v7 &
% 298.86/67.70 | hAPP(all_1499_0, v1) = v6 & $i(v8) & $i(v7) & $i(v6) &
% 298.86/67.70 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v8)))
% 298.86/67.70 |
% 298.86/67.70 | ALPHA: (502) implies:
% 298.86/67.70 | (503) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1499_2
% 298.86/67.70 | (504) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1499_0
% 298.86/67.70 |
% 298.86/67.70 | DELTA: instantiating (6) with fresh symbols all_1505_0, all_1505_1,
% 298.86/67.70 | all_1505_2, all_1505_3, all_1505_4, all_1505_5, all_1505_6, all_1505_7,
% 298.86/67.70 | all_1505_8, all_1505_9 gives:
% 298.86/67.70 | (505) c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, all_1505_1) =
% 298.86/67.70 | all_1505_0 & c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) =
% 298.86/67.70 | all_1505_9 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 298.86/67.70 | v_w____) = all_1505_7 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat,
% 298.86/67.70 | v_k____, all_1505_5) = all_1505_4 &
% 298.86/67.70 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1505_8 &
% 298.86/67.70 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1505_5 &
% 298.86/67.70 | hAPP(all_1505_2, v_m____) = all_1505_1 & hAPP(all_1505_6, all_1505_4)
% 298.86/67.70 | = all_1505_3 & hAPP(all_1505_8, all_1505_7) = all_1505_6 &
% 298.86/67.70 | hAPP(all_1505_9, all_1505_3) = all_1505_2 & $i(all_1505_0) &
% 298.86/67.70 | $i(all_1505_1) & $i(all_1505_2) & $i(all_1505_3) & $i(all_1505_4) &
% 298.86/67.70 | $i(all_1505_5) & $i(all_1505_6) & $i(all_1505_7) & $i(all_1505_8) &
% 298.86/67.70 | $i(all_1505_9) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 298.86/67.70 | v_t____, all_1505_0)
% 298.86/67.70 |
% 298.86/67.70 | ALPHA: (505) implies:
% 298.86/67.70 | (506) hAPP(all_1505_9, all_1505_3) = all_1505_2
% 298.86/67.70 | (507) hAPP(all_1505_8, all_1505_7) = all_1505_6
% 298.86/67.70 | (508) hAPP(all_1505_6, all_1505_4) = all_1505_3
% 298.86/67.70 | (509) hAPP(all_1505_2, v_m____) = all_1505_1
% 298.86/67.70 | (510) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1505_5
% 298.86/67.70 | (511) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1505_8
% 298.86/67.70 | (512) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_1505_5) =
% 298.86/67.70 | all_1505_4
% 298.86/67.70 | (513) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 298.86/67.70 | all_1505_7
% 298.86/67.70 | (514) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1505_9
% 298.86/67.70 | (515) c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, all_1505_1) =
% 298.86/67.70 | all_1505_0
% 298.86/67.70 |
% 298.86/67.70 | DELTA: instantiating (48) with fresh symbols all_1525_0, all_1525_1 gives:
% 298.86/67.70 | (516) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1525_0 &
% 298.86/67.70 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1525_1 &
% 298.86/67.70 | $i(all_1525_0) & $i(all_1525_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 298.86/67.70 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v3, v1) =
% 298.86/67.70 | v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_1525_0, v2) = v3) |
% 298.86/67.70 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 298.86/67.70 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v5) | ~
% 298.86/67.70 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1525_1, v2) |
% 298.86/67.70 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0)) & !
% 298.86/67.70 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 298.86/67.70 | [v5: $i] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~
% 298.86/67.70 | (hAPP(all_1525_0, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 298.86/67.70 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) | ~
% 298.86/67.70 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1525_1, v2) |
% 298.86/67.70 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v5))
% 298.86/67.70 |
% 298.86/67.70 | ALPHA: (516) implies:
% 298.86/67.70 | (517) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1525_1
% 298.86/67.70 | (518) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1525_0
% 298.86/67.70 |
% 298.86/67.70 | DELTA: instantiating (149) with fresh symbol all_1528_0 gives:
% 298.86/67.70 | (519) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1528_0 &
% 298.86/67.70 | $i(all_1528_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 298.86/67.70 | $i] : ! [v4: $i] : ( ~ (c_Polynomial_Opoly(tc_Complex_Ocomplex,
% 298.86/67.70 | v0) = v3) | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 298.86/67.70 | $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 298.86/67.70 | all_1528_0, v2) | ? [v5: $i] : ($i(v5) &
% 298.86/67.70 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1528_0, v5) &
% 298.86/67.70 | ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~
% 298.86/67.70 | (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v7, v4) =
% 298.86/67.70 | v8) | ~ (hAPP(v3, v6) = v7) | ~ $i(v6) | ? [v9: $i] : ?
% 298.86/67.70 | [v10: $i] : ? [v11: $i] :
% 298.86/67.70 | ((c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v6, v1) =
% 298.86/67.70 | v9 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 298.86/67.70 | v9) = v10 & $i(v10) & $i(v9) & ( ~
% 298.86/67.70 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10, v5)
% 298.86/67.70 | | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 298.86/67.70 | all_1528_0, v10))) |
% 298.86/67.70 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v8) =
% 298.86/67.70 | v11 & $i(v11) &
% 298.86/67.70 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11,
% 298.86/67.70 | v2))))))
% 298.86/67.70 |
% 298.86/67.70 | ALPHA: (519) implies:
% 298.86/67.70 | (520) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1528_0
% 298.86/67.70 |
% 298.86/67.70 | DELTA: instantiating (78) with fresh symbols all_1531_0, all_1531_1,
% 298.86/67.70 | all_1531_2, all_1531_3 gives:
% 298.86/67.70 | (521) c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1531_0 &
% 298.86/67.70 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1531_3 &
% 298.86/67.70 | c_Power_Opower__class_Opower(tc_Nat_Onat) = all_1531_2 &
% 298.86/67.70 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1531_1 & $i(all_1531_0)
% 298.86/67.70 | & $i(all_1531_1) & $i(all_1531_2) & $i(all_1531_3) & ! [v0: $i] : !
% 298.86/67.70 | [v1: any] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] :
% 298.86/67.70 | ! [v6: $i] : (v1 = all_1531_3 | ~
% 298.86/67.70 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, all_1531_1) = v4) |
% 298.86/67.70 | ~ (hAPP(v3, v5) = v6) | ~ (hAPP(v2, v4) = v5) | ~
% 298.86/67.70 | (hAPP(all_1531_0, v0) = v3) | ~ (hAPP(all_1531_2, v0) = v2) | ~
% 298.86/67.70 | $i(v1) | ~ $i(v0) | (hAPP(v2, v1) = v6 & $i(v6))) & ! [v0: $i] :
% 298.86/67.70 | ! [v1: $i] : ! [v2: int] : (v2 = all_1531_1 | ~ (hAPP(v1,
% 298.86/67.70 | all_1531_3) = v2) | ~ (hAPP(all_1531_2, v0) = v1) | ~ $i(v0))
% 298.86/67.70 |
% 298.86/67.70 | ALPHA: (521) implies:
% 298.86/67.70 | (522) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1531_1
% 298.86/67.70 |
% 298.86/67.70 | DELTA: instantiating (12) with fresh symbols all_1534_0, all_1534_1,
% 298.86/67.70 | all_1534_2, all_1534_3, all_1534_4, all_1534_5, all_1534_6, all_1534_7,
% 298.86/67.70 | all_1534_8, all_1534_9, all_1534_10 gives:
% 298.86/67.70 | (523) c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, all_1534_1) =
% 298.86/67.70 | all_1534_0 & c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) =
% 298.86/67.70 | all_1534_9 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 298.86/67.70 | v_w____) = all_1534_7 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat,
% 298.86/67.71 | v_k____, all_1534_5) = all_1534_4 &
% 298.86/67.71 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1534_10 &
% 298.86/67.71 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1534_8 &
% 298.86/67.71 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1534_5 &
% 298.86/67.71 | hAPP(all_1534_2, v_m____) = all_1534_1 & hAPP(all_1534_6, all_1534_4)
% 298.86/67.71 | = all_1534_3 & hAPP(all_1534_8, all_1534_7) = all_1534_6 &
% 298.86/67.71 | hAPP(all_1534_9, all_1534_3) = all_1534_2 & $i(all_1534_0) &
% 298.86/67.71 | $i(all_1534_1) & $i(all_1534_2) & $i(all_1534_3) & $i(all_1534_4) &
% 298.86/67.71 | $i(all_1534_5) & $i(all_1534_6) & $i(all_1534_7) & $i(all_1534_8) &
% 298.86/67.71 | $i(all_1534_9) & $i(all_1534_10) &
% 298.86/67.71 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1534_10,
% 298.86/67.71 | all_1534_0)
% 298.86/67.71 |
% 298.86/67.71 | ALPHA: (523) implies:
% 298.86/67.71 | (524) $i(all_1534_3)
% 298.86/67.71 | (525) $i(all_1534_1)
% 298.86/67.71 | (526) hAPP(all_1534_9, all_1534_3) = all_1534_2
% 298.86/67.71 | (527) hAPP(all_1534_8, all_1534_7) = all_1534_6
% 298.86/67.71 | (528) hAPP(all_1534_6, all_1534_4) = all_1534_3
% 298.86/67.71 | (529) hAPP(all_1534_2, v_m____) = all_1534_1
% 298.86/67.71 | (530) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1534_5
% 298.86/67.71 | (531) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1534_8
% 298.86/67.71 | (532) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1534_10
% 298.86/67.71 | (533) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_1534_5) =
% 298.86/67.71 | all_1534_4
% 298.86/67.71 | (534) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 298.86/67.71 | all_1534_7
% 298.86/67.71 | (535) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1534_9
% 298.86/67.71 | (536) c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, all_1534_1) =
% 298.86/67.71 | all_1534_0
% 298.86/67.71 |
% 298.86/67.71 | DELTA: instantiating (147) with fresh symbols all_1539_0, all_1539_1,
% 298.86/67.71 | all_1539_2, all_1539_3 gives:
% 298.86/67.71 | (537) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1539_2 &
% 298.86/67.71 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1539_3 &
% 298.86/67.71 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1539_0 &
% 298.86/67.71 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1539_1 &
% 298.86/67.71 | $i(all_1539_0) & $i(all_1539_1) & $i(all_1539_2) & $i(all_1539_3) &
% 298.86/67.71 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 298.86/67.71 | ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, all_1539_1) =
% 298.86/67.71 | v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_1539_0, v2) = v3) |
% 298.86/67.71 | ~ $i(v1) | ~ $i(v0) | ~
% 298.86/67.71 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1539_3, v1)
% 298.86/67.71 | | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 298.86/67.71 | (c_RealDef_Oreal(tc_Nat_Onat, v0) = v5 &
% 298.86/67.71 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v7, all_1539_1) =
% 298.86/67.71 | v8 & hAPP(v6, v1) = v7 & hAPP(all_1539_2, v5) = v6 & $i(v8) &
% 298.86/67.71 | $i(v7) & $i(v6) & $i(v5) &
% 298.86/67.71 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v8, v4)))
% 298.86/67.71 |
% 298.86/67.71 | ALPHA: (537) implies:
% 298.86/67.71 | (538) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1539_1
% 298.86/67.71 | (539) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1539_0
% 298.86/67.71 | (540) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1539_3
% 298.86/67.71 | (541) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1539_2
% 298.86/67.71 |
% 298.86/67.71 | DELTA: instantiating (116) with fresh symbols all_1542_0, all_1542_1 gives:
% 298.86/67.71 | (542) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1542_0 &
% 298.86/67.71 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1542_1 &
% 298.86/67.71 | $i(all_1542_0) & $i(all_1542_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 298.86/67.71 | (c_Groups_Otimes__class_Otimes(v0) = v1) | ~ $i(v0) | ~
% 298.86/67.71 | class_RealVector_Oreal__normed__algebra(v0) | ? [v2: $i] : ($i(v2)
% 298.86/67.71 | & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1542_1, v2)
% 298.86/67.71 | & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 298.86/67.71 | $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ( ~
% 298.86/67.71 | (c_RealVector_Onorm__class_Onorm(v0, v4) = v7) | ~
% 298.86/67.71 | (c_RealVector_Onorm__class_Onorm(v0, v3) = v5) | ~ (hAPP(v9,
% 298.86/67.71 | v2) = v10) | ~ (hAPP(v6, v7) = v8) | ~ (hAPP(all_1542_0,
% 298.86/67.71 | v8) = v9) | ~ (hAPP(all_1542_0, v5) = v6) | ~ $i(v4) | ~
% 298.86/67.71 | $i(v3) | ? [v11: $i] : ? [v12: $i] : ? [v13: $i] :
% 298.86/67.71 | (c_RealVector_Onorm__class_Onorm(v0, v12) = v13 & hAPP(v11, v4)
% 298.86/67.71 | = v12 & hAPP(v1, v3) = v11 & $i(v13) & $i(v12) & $i(v11) &
% 298.86/67.71 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v13,
% 298.86/67.71 | v10)))))
% 298.86/67.71 |
% 298.86/67.71 | ALPHA: (542) implies:
% 298.86/67.71 | (543) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1542_1
% 298.86/67.71 | (544) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1542_0
% 298.86/67.71 |
% 298.86/67.71 | DELTA: instantiating (47) with fresh symbols all_1548_0, all_1548_1 gives:
% 298.86/67.71 | (545) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1548_0 &
% 298.86/67.71 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1548_1 &
% 298.86/67.71 | $i(all_1548_0) & $i(all_1548_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 298.86/67.71 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 298.86/67.71 | (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(all_1548_0,
% 298.86/67.71 | v1) = v3) | ~ (hAPP(all_1548_0, v0) = v5) | ~ $i(v2) | ~
% 298.86/67.71 | $i(v1) | ~ $i(v0) | ~
% 298.86/67.71 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v6) | ~
% 298.86/67.71 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1548_1, v2) |
% 298.86/67.71 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0)) & !
% 298.86/67.71 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 298.86/67.71 | [v5: $i] : ! [v6: $i] : ( ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v2) =
% 298.86/67.71 | v4) | ~ (hAPP(all_1548_0, v1) = v3) | ~ (hAPP(all_1548_0, v0) =
% 298.86/67.71 | v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 298.86/67.71 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) | ~
% 298.86/67.71 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1548_1, v2) |
% 298.86/67.71 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v6))
% 298.86/67.71 |
% 298.86/67.71 | ALPHA: (545) implies:
% 298.86/67.71 | (546) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1548_1
% 298.86/67.71 | (547) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1548_0
% 298.86/67.71 |
% 298.86/67.71 | DELTA: instantiating (46) with fresh symbols all_1551_0, all_1551_1 gives:
% 298.86/67.71 | (548) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1551_1 &
% 298.86/67.71 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1551_0 &
% 298.86/67.71 | $i(all_1551_0) & $i(all_1551_1) & ! [v0: $i] : ! [v1: any] : !
% 298.86/67.71 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v1 = all_1551_0
% 298.86/67.71 | | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) =
% 298.86/67.71 | all_1551_0) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v1) = v3) |
% 298.86/67.71 | ~ (hAPP(all_1551_1, v1) = v2) | ~ (hAPP(all_1551_1, v0) = v4) | ~
% 298.86/67.71 | $i(v1) | ~ $i(v0)) & ! [v0: any] : ! [v1: $i] : ! [v2: $i] : !
% 298.86/67.71 | [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v0 = all_1551_0 | ~
% 298.86/67.71 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) =
% 298.86/67.71 | all_1551_0) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v1) = v3) |
% 298.86/67.71 | ~ (hAPP(all_1551_1, v1) = v2) | ~ (hAPP(all_1551_1, v0) = v4) | ~
% 298.86/67.71 | $i(v1) | ~ $i(v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] :
% 298.86/67.71 | (v2 = all_1551_0 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,
% 298.86/67.71 | v1, v1) = v2) | ~ (hAPP(v0, all_1551_0) = v1) | ~
% 298.86/67.71 | (hAPP(all_1551_1, all_1551_0) = v0))
% 298.86/67.71 |
% 298.86/67.71 | ALPHA: (548) implies:
% 298.86/67.71 | (549) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1551_0
% 298.86/67.71 | (550) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1551_1
% 298.86/67.71 |
% 298.86/67.71 | DELTA: instantiating (79) with fresh symbols all_1554_0, all_1554_1 gives:
% 298.86/67.71 | (551) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1554_1 &
% 298.86/67.71 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1554_0 & $i(all_1554_0)
% 298.86/67.71 | & $i(all_1554_1) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 298.86/67.71 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 298.86/67.71 | [v8: $i] : ! [v9: $i] : ( ~
% 298.86/67.71 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, all_1554_0) = v7) |
% 298.86/67.71 | ~ (c_Groups_Otimes__class_Otimes(v2) = v5) | ~
% 298.86/67.71 | (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v6, v8) = v9) |
% 298.86/67.71 | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v7) = v8) | ~ (hAPP(v3, v0) =
% 298.86/67.71 | v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 298.86/67.71 | class_Power_Opower(v2) | ? [v10: $i] : ? [v11: $i] : (( ~ (v1 =
% 298.86/67.71 | all_1554_1) | (v11 = v10 & c_Groups_Oone__class_Oone(v2) =
% 298.86/67.71 | v10 & hAPP(v4, all_1554_1) = v10 & $i(v10))) & (v1 =
% 298.86/67.71 | all_1554_1 | (v10 = v9 & hAPP(v4, v1) = v9 & $i(v9)))))
% 298.86/67.71 |
% 298.86/67.71 | ALPHA: (551) implies:
% 298.86/67.71 | (552) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1554_0
% 298.86/67.71 |
% 298.86/67.71 | DELTA: instantiating (43) with fresh symbols all_1557_0, all_1557_1 gives:
% 298.86/67.71 | (553) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1557_0 &
% 298.86/67.71 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1557_1 &
% 298.86/67.71 | $i(all_1557_0) & $i(all_1557_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 298.86/67.71 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 298.86/67.71 | (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(all_1557_0,
% 298.86/67.71 | v1) = v3) | ~ (hAPP(all_1557_0, v0) = v5) | ~ $i(v2) | ~
% 298.86/67.71 | $i(v1) | ~ $i(v0) | ~
% 298.86/67.71 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v6) | ~
% 298.86/67.71 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1557_1, v2) |
% 298.86/67.71 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0)) & ! [v0:
% 298.86/67.71 | $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 298.86/67.71 | [v5: $i] : ! [v6: $i] : ( ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v2) =
% 298.86/67.71 | v4) | ~ (hAPP(all_1557_0, v1) = v3) | ~ (hAPP(all_1557_0, v0) =
% 298.86/67.71 | v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 298.86/67.71 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) | ~
% 298.86/67.71 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1557_1, v2) |
% 298.86/67.71 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v6))
% 298.86/67.71 |
% 298.86/67.71 | ALPHA: (553) implies:
% 298.86/67.71 | (554) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1557_1
% 298.86/67.71 | (555) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1557_0
% 298.86/67.71 |
% 298.86/67.71 | DELTA: instantiating (3) with fresh symbols all_1566_0, all_1566_1,
% 298.86/67.71 | all_1566_2, all_1566_3, all_1566_4, all_1566_5, all_1566_6, all_1566_7,
% 298.86/67.71 | all_1566_8, all_1566_9, all_1566_10, all_1566_11 gives:
% 298.86/67.71 | (556) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1566_11 &
% 298.86/67.71 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 298.86/67.71 | all_1566_8 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____,
% 298.86/67.71 | all_1566_6) = all_1566_5 &
% 298.86/67.71 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1566_9 &
% 298.86/67.71 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1566_6 &
% 298.86/67.71 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1566_0 &
% 298.86/67.71 | hAPP(all_1566_3, v_m____) = all_1566_2 & hAPP(all_1566_7, all_1566_5)
% 298.86/67.71 | = all_1566_4 & hAPP(all_1566_9, all_1566_8) = all_1566_7 &
% 298.86/67.71 | hAPP(all_1566_10, all_1566_2) = all_1566_1 & hAPP(all_1566_11,
% 298.86/67.71 | all_1566_4) = all_1566_3 & hAPP(all_1566_11, v_t____) = all_1566_10
% 298.86/67.71 | & $i(all_1566_0) & $i(all_1566_1) & $i(all_1566_2) & $i(all_1566_3) &
% 298.86/67.71 | $i(all_1566_4) & $i(all_1566_5) & $i(all_1566_6) & $i(all_1566_7) &
% 298.86/67.71 | $i(all_1566_8) & $i(all_1566_9) & $i(all_1566_10) & $i(all_1566_11) &
% 298.86/67.71 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1566_1,
% 298.86/67.71 | all_1566_0)
% 298.86/67.71 |
% 298.86/67.71 | ALPHA: (556) implies:
% 298.86/67.71 | (557) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1566_1,
% 298.86/67.71 | all_1566_0)
% 298.86/67.71 | (558) hAPP(all_1566_11, v_t____) = all_1566_10
% 298.86/67.71 | (559) hAPP(all_1566_11, all_1566_4) = all_1566_3
% 298.86/67.71 | (560) hAPP(all_1566_10, all_1566_2) = all_1566_1
% 298.86/67.71 | (561) hAPP(all_1566_9, all_1566_8) = all_1566_7
% 298.86/67.71 | (562) hAPP(all_1566_7, all_1566_5) = all_1566_4
% 298.86/67.71 | (563) hAPP(all_1566_3, v_m____) = all_1566_2
% 298.86/67.71 | (564) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1566_0
% 298.86/67.71 | (565) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1566_6
% 298.86/67.71 | (566) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1566_9
% 298.86/67.71 | (567) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_1566_6) =
% 298.86/67.71 | all_1566_5
% 298.86/67.71 | (568) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 298.86/67.71 | all_1566_8
% 298.86/67.71 | (569) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1566_11
% 298.86/67.71 |
% 298.86/67.71 | DELTA: instantiating (49) with fresh symbols all_1570_0, all_1570_1 gives:
% 298.86/67.71 | (570) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1570_0 &
% 298.86/67.71 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1570_1 &
% 298.86/67.71 | $i(all_1570_0) & $i(all_1570_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 298.86/67.71 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 298.86/67.71 | [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~
% 298.86/67.71 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v3) = v5) | ~
% 298.86/67.71 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v2) = v8) | ~
% 298.86/67.71 | (hAPP(v7, v8) = v9) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(all_1570_0,
% 298.86/67.71 | v1) = v4) | ~ (hAPP(all_1570_0, v0) = v7) | ~ $i(v3) | ~
% 298.86/67.71 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 298.86/67.71 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1570_1, v3) |
% 298.86/67.71 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1570_1, v2) |
% 298.86/67.71 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v9) | ? [v10:
% 298.86/67.71 | $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : (hAPP(v12, v0)
% 298.86/67.71 | = v13 & hAPP(v10, v1) = v11 & hAPP(all_1570_0, v3) = v12 &
% 298.86/67.71 | hAPP(all_1570_0, v2) = v10 & $i(v13) & $i(v12) & $i(v11) &
% 298.86/67.71 | $i(v10) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11,
% 298.86/67.71 | v13)))
% 298.86/67.71 |
% 298.86/67.71 | ALPHA: (570) implies:
% 298.86/67.71 | (571) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1570_1
% 298.86/67.71 | (572) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1570_0
% 298.86/67.71 |
% 298.86/67.71 | DELTA: instantiating (113) with fresh symbol all_1573_0 gives:
% 298.86/67.71 | (573) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1573_0 &
% 298.86/67.71 | $i(all_1573_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 298.86/67.71 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 298.86/67.71 | (c_RealVector_Onorm__class_Onorm(v3, v4) = v5) | ~ (hAPP(v0, v1) =
% 298.86/67.71 | v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 298.86/67.71 | class_Orderings_Oord(v2) | ~
% 298.86/67.71 | class_RealVector_Oreal__normed__vector(v3) | ? [v6: $i] : ? [v7:
% 298.86/67.71 | $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ($i(v7) &
% 298.86/67.71 | ((c_Groups_Ominus__class_Ominus(v3, v4, v8) = v9 &
% 298.86/67.71 | c_RealVector_Onorm__class_Onorm(v3, v9) = v10 & hAPP(v0, v7)
% 298.86/67.71 | = v8 & $i(v10) & $i(v9) & $i(v8) &
% 298.86/67.71 | c_Orderings_Oord__class_Oless__eq(v2, v1, v7) & ~
% 298.86/67.71 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10,
% 298.86/67.71 | all_1573_0)) |
% 298.86/67.71 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1573_0, v5)
% 298.86/67.71 | = v6 & $i(v6) & ! [v11: $i] : ! [v12: $i] : ! [v13: $i] :
% 298.86/67.71 | ( ~ (c_RealVector_Onorm__class_Onorm(v3, v12) = v13) | ~
% 298.86/67.71 | (hAPP(v0, v11) = v12) | ~ $i(v11) | ~
% 298.86/67.71 | c_Orderings_Oord__class_Oless__eq(v2, v1, v11) |
% 298.86/67.71 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v13,
% 298.86/67.71 | v6))))))
% 298.86/67.71 |
% 298.86/67.71 | ALPHA: (573) implies:
% 298.86/67.71 | (574) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1573_0
% 298.86/67.71 |
% 298.86/67.71 | DELTA: instantiating (50) with fresh symbols all_1576_0, all_1576_1 gives:
% 298.86/67.71 | (575) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1576_0 &
% 298.86/67.71 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1576_1 &
% 298.86/67.71 | $i(all_1576_0) & $i(all_1576_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 298.86/67.71 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 298.86/67.71 | [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~
% 298.86/67.71 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v3) = v4) | ~
% 298.86/67.71 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v2) = v7) | ~
% 298.86/67.71 | (hAPP(v8, v0) = v9) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(all_1576_0,
% 298.86/67.71 | v7) = v8) | ~ (hAPP(all_1576_0, v4) = v5) | ~ $i(v3) | ~
% 298.86/67.71 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 298.86/67.71 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1576_1, v3) |
% 298.86/67.71 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1576_1, v2) |
% 298.86/67.71 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v9) | ? [v10:
% 298.86/67.71 | $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : (hAPP(v12, v0)
% 298.86/67.71 | = v13 & hAPP(v10, v1) = v11 & hAPP(all_1576_0, v3) = v12 &
% 298.86/67.71 | hAPP(all_1576_0, v2) = v10 & $i(v13) & $i(v12) & $i(v11) &
% 298.86/67.71 | $i(v10) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11,
% 298.86/67.71 | v13)))
% 298.86/67.71 |
% 298.86/67.71 | ALPHA: (575) implies:
% 298.86/67.71 | (576) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1576_1
% 298.86/67.71 | (577) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1576_0
% 298.86/67.71 |
% 298.86/67.71 | DELTA: instantiating (65) with fresh symbols all_1579_0, all_1579_1 gives:
% 298.86/67.71 | (578) c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1579_0 &
% 298.86/67.71 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1579_1 &
% 298.86/67.71 | $i(all_1579_0) & $i(all_1579_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 298.86/67.71 | (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v0, all_1579_0)
% 298.86/67.71 | = v1) | ~ $i(v0) | ? [v2: any] : ? [v3: $i] : ? [v4: $i] : ?
% 298.86/67.71 | [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 298.86/67.71 | (( ~ (v2 = all_1579_1) &
% 298.86/67.71 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v0) = v2 &
% 298.86/67.71 | $i(v2)) | (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,
% 298.86/67.71 | v0, c_Complex_Oii) = v8 &
% 298.86/67.71 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v8) = v9 &
% 298.86/67.71 | $i(v9) & $i(v8) &
% 298.86/67.71 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9,
% 298.86/67.71 | all_1579_1)) |
% 298.86/67.71 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v6) = v7 &
% 298.86/67.71 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v0,
% 298.86/67.71 | c_Complex_Oii) = v6 & $i(v7) & $i(v6) &
% 298.86/67.71 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7,
% 298.86/67.71 | all_1579_1)) |
% 298.86/67.71 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 &
% 298.86/67.71 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v0,
% 298.86/67.71 | all_1579_0) = v3 & $i(v4) & $i(v3) &
% 298.86/67.71 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4,
% 298.86/67.71 | all_1579_1)) |
% 298.86/67.71 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v5 &
% 298.86/67.71 | $i(v5) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5,
% 298.86/67.71 | all_1579_1))))
% 298.86/67.71 |
% 298.86/67.71 | ALPHA: (578) implies:
% 298.86/67.71 | (579) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1579_1
% 298.86/67.71 |
% 298.86/67.71 | DELTA: instantiating (24) with fresh symbols all_1584_0, all_1584_1,
% 298.86/67.71 | all_1584_2, all_1584_3, all_1584_4, all_1584_5, all_1584_6, all_1584_7,
% 298.86/67.71 | all_1584_8, all_1584_9, all_1584_10, all_1584_11, all_1584_12 gives:
% 298.86/67.72 | (580) c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, all_1584_2) =
% 298.86/67.72 | all_1584_1 & c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) =
% 298.86/67.72 | all_1584_10 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 298.86/67.72 | v_w____) = all_1584_8 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat,
% 298.86/67.72 | v_k____, all_1584_6) = all_1584_5 &
% 298.86/67.72 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1584_12 &
% 298.86/67.72 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1584_9 &
% 298.86/67.72 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1584_6 &
% 298.86/67.72 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1584_11 &
% 298.86/67.72 | hAPP(all_1584_3, v_m____) = all_1584_2 & hAPP(all_1584_7, all_1584_5)
% 298.86/67.72 | = all_1584_4 & hAPP(all_1584_9, all_1584_8) = all_1584_7 &
% 298.86/67.72 | hAPP(all_1584_10, all_1584_4) = all_1584_3 & $i(all_1584_0) &
% 298.86/67.72 | $i(all_1584_1) & $i(all_1584_2) & $i(all_1584_3) & $i(all_1584_4) &
% 298.86/67.72 | $i(all_1584_5) & $i(all_1584_6) & $i(all_1584_7) & $i(all_1584_8) &
% 298.86/67.72 | $i(all_1584_9) & $i(all_1584_10) & $i(all_1584_11) & $i(all_1584_12)
% 298.86/67.72 | & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1584_0,
% 298.86/67.72 | all_1584_1) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 298.86/67.72 | all_1584_0, all_1584_11) &
% 298.86/67.72 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1584_12,
% 298.86/67.72 | all_1584_0)
% 298.86/67.72 |
% 298.86/67.72 | ALPHA: (580) implies:
% 298.86/67.72 | (581) hAPP(all_1584_10, all_1584_4) = all_1584_3
% 298.86/67.72 | (582) hAPP(all_1584_9, all_1584_8) = all_1584_7
% 298.86/67.72 | (583) hAPP(all_1584_7, all_1584_5) = all_1584_4
% 298.86/67.72 | (584) hAPP(all_1584_3, v_m____) = all_1584_2
% 298.86/67.72 | (585) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1584_11
% 298.86/67.72 | (586) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1584_6
% 298.86/67.72 | (587) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1584_9
% 298.86/67.72 | (588) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1584_12
% 298.86/67.72 | (589) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_1584_6) =
% 298.86/67.72 | all_1584_5
% 298.86/67.72 | (590) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 298.86/67.72 | all_1584_8
% 298.86/67.72 | (591) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1584_10
% 298.86/67.72 | (592) c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, all_1584_2) =
% 298.86/67.72 | all_1584_1
% 298.86/67.72 |
% 298.86/67.72 | DELTA: instantiating (55) with fresh symbols all_1589_0, all_1589_1,
% 298.86/67.72 | all_1589_2, all_1589_3, all_1589_4, all_1589_5 gives:
% 298.86/67.72 | (593) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1589_2 &
% 298.86/67.72 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1589_4 &
% 298.86/67.72 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1589_5 &
% 298.86/67.72 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1589_1 &
% 298.86/67.72 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1589_3 &
% 298.86/67.72 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1589_0 &
% 298.86/67.72 | $i(all_1589_0) & $i(all_1589_1) & $i(all_1589_2) & $i(all_1589_3) &
% 298.86/67.72 | $i(all_1589_4) & $i(all_1589_5) & ? [v0: any] : ! [v1: any] : !
% 298.86/67.72 | [v2: $i] : (v1 = all_1589_5 | v0 = all_1589_4 | ~ (hAPP(all_1589_2,
% 298.86/67.72 | v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] :
% 298.86/67.72 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 298.86/67.72 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v7) = v8 &
% 298.86/67.72 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, all_1589_3, v6)
% 298.86/67.72 | = v7 & hAPP(v4, v0) = v5 & hAPP(v2, v5) = v6 & hAPP(all_1589_1,
% 298.86/67.72 | v3) = v4 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3)
% 298.86/67.72 | & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8,
% 298.86/67.72 | all_1589_0)))
% 298.86/67.72 |
% 298.86/67.72 | ALPHA: (593) implies:
% 298.86/67.72 | (594) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1589_0
% 298.86/67.72 | (595) c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1589_1
% 298.86/67.72 | (596) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1589_2
% 298.86/67.72 |
% 298.86/67.72 | DELTA: instantiating (101) with fresh symbols all_1600_0, all_1600_1,
% 298.86/67.72 | all_1600_2, all_1600_3, all_1600_4, all_1600_5, all_1600_6, all_1600_7,
% 298.86/67.72 | all_1600_8, all_1600_9, all_1600_10 gives:
% 298.86/67.72 | (597) c_Polynomial_OpCons(tc_Complex_Ocomplex, v_a____, v_s____) =
% 298.86/67.72 | all_1600_1 & c_Polynomial_Osmult(tc_Complex_Ocomplex, all_1600_7,
% 298.86/67.72 | v_q____) = all_1600_6 & c_Polynomial_Opoly(tc_Complex_Ocomplex,
% 298.86/67.72 | all_1600_1) = all_1600_0 & c_Polynomial_Opoly(tc_Complex_Ocomplex,
% 298.86/67.72 | all_1600_6) = all_1600_5 & c_Polynomial_Opoly(tc_Complex_Ocomplex,
% 298.86/67.72 | v_q____) = all_1600_10 &
% 298.86/67.72 | c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, all_1600_8) =
% 298.86/67.72 | all_1600_7 & c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) =
% 298.86/67.72 | all_1600_3 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 298.86/67.72 | all_1600_9 & c_Power_Opower__class_Opower(tc_Complex_Ocomplex) =
% 298.86/67.72 | all_1600_2 & hAPP(all_1600_5, all_1600_9) = all_1600_4 &
% 298.86/67.72 | hAPP(all_1600_10, all_1600_9) = all_1600_8 & $i(all_1600_0) &
% 298.86/67.72 | $i(all_1600_1) & $i(all_1600_2) & $i(all_1600_3) & $i(all_1600_4) &
% 298.86/67.72 | $i(all_1600_5) & $i(all_1600_6) & $i(all_1600_7) & $i(all_1600_8) &
% 298.86/67.72 | $i(all_1600_9) & $i(all_1600_10) & ! [v0: $i] : ! [v1: $i] : !
% 298.86/67.72 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v3,
% 298.86/67.72 | v4) = v5) | ~ (hAPP(v1, v_k____) = v2) | ~ (hAPP(all_1600_0,
% 298.86/67.72 | v0) = v4) | ~ (hAPP(all_1600_2, v0) = v1) | ~
% 298.86/67.72 | (hAPP(all_1600_3, v2) = v3) | ~ $i(v0) | ? [v6: $i] :
% 298.86/67.72 | (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, all_1600_4, v5) =
% 298.86/67.72 | v6 & hAPP(all_1600_5, v0) = v6 & $i(v6)))
% 298.86/67.72 |
% 298.86/67.72 | ALPHA: (597) implies:
% 298.86/67.72 | (598) c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1600_2
% 298.86/67.72 | (599) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1600_3
% 298.86/67.72 |
% 298.86/67.72 | DELTA: instantiating (180) with fresh symbols all_1626_0, all_1626_1,
% 298.86/67.72 | all_1626_2, all_1626_3, all_1626_4, all_1626_5, all_1626_6, all_1626_7,
% 298.86/67.72 | all_1626_8, all_1626_9, all_1626_10, all_1626_11, all_1626_12,
% 298.86/67.72 | all_1626_13, all_1626_14, all_1626_15, all_1626_16 gives:
% 298.86/67.72 | (600) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1626_16 &
% 298.86/67.72 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 298.86/67.72 | all_1626_10 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____,
% 298.86/67.72 | all_1626_8) = all_1626_7 &
% 298.86/67.72 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1626_15 &
% 298.86/67.72 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1626_8 &
% 298.86/67.72 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1626_1 &
% 298.86/67.72 | hAPP(all_1626_5, v_m____) = all_1626_4 & hAPP(all_1626_9, all_1626_7)
% 298.86/67.72 | = all_1626_6 & hAPP(all_1626_11, all_1626_4) = all_1626_3 &
% 298.86/67.72 | hAPP(all_1626_12, all_1626_1) = all_1626_0 & hAPP(all_1626_12,
% 298.86/67.72 | all_1626_3) = all_1626_2 & hAPP(all_1626_14, v_k____) = all_1626_13
% 298.86/67.72 | & hAPP(all_1626_15, all_1626_10) = all_1626_9 & hAPP(all_1626_15,
% 298.86/67.72 | v_t____) = all_1626_14 & hAPP(all_1626_16, all_1626_6) = all_1626_5
% 298.86/67.72 | & hAPP(all_1626_16, all_1626_13) = all_1626_12 & hAPP(all_1626_16,
% 298.86/67.72 | v_t____) = all_1626_11 & $i(all_1626_0) & $i(all_1626_1) &
% 298.86/67.72 | $i(all_1626_2) & $i(all_1626_3) & $i(all_1626_4) & $i(all_1626_5) &
% 298.86/67.72 | $i(all_1626_6) & $i(all_1626_7) & $i(all_1626_8) & $i(all_1626_9) &
% 298.86/67.72 | $i(all_1626_10) & $i(all_1626_11) & $i(all_1626_12) & $i(all_1626_13)
% 298.86/67.72 | & $i(all_1626_14) & $i(all_1626_15) & $i(all_1626_16) & ~
% 298.86/67.72 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1626_2,
% 298.86/67.72 | all_1626_0)
% 298.86/67.72 |
% 298.86/67.72 | ALPHA: (600) implies:
% 298.86/67.72 | (601) ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1626_2,
% 298.86/67.72 | all_1626_0)
% 298.86/67.72 | (602) $i(all_1626_13)
% 298.86/67.72 | (603) $i(all_1626_3)
% 298.86/67.72 | (604) hAPP(all_1626_16, v_t____) = all_1626_11
% 298.86/67.72 | (605) hAPP(all_1626_16, all_1626_13) = all_1626_12
% 298.86/67.72 | (606) hAPP(all_1626_16, all_1626_6) = all_1626_5
% 298.86/67.72 | (607) hAPP(all_1626_15, v_t____) = all_1626_14
% 298.86/67.72 | (608) hAPP(all_1626_15, all_1626_10) = all_1626_9
% 298.86/67.72 | (609) hAPP(all_1626_14, v_k____) = all_1626_13
% 298.86/67.72 | (610) hAPP(all_1626_12, all_1626_3) = all_1626_2
% 298.86/67.72 | (611) hAPP(all_1626_12, all_1626_1) = all_1626_0
% 298.86/67.72 | (612) hAPP(all_1626_11, all_1626_4) = all_1626_3
% 298.86/67.72 | (613) hAPP(all_1626_9, all_1626_7) = all_1626_6
% 298.86/67.72 | (614) hAPP(all_1626_5, v_m____) = all_1626_4
% 298.86/67.72 | (615) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1626_1
% 298.86/67.72 | (616) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1626_8
% 298.86/67.72 | (617) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1626_15
% 298.86/67.72 | (618) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_1626_8) =
% 298.86/67.72 | all_1626_7
% 298.86/67.72 | (619) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 298.86/67.72 | all_1626_10
% 298.86/67.72 | (620) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1626_16
% 298.86/67.72 |
% 298.86/67.72 | DELTA: instantiating (98) with fresh symbols all_1628_0, all_1628_1,
% 298.86/67.72 | all_1628_2, all_1628_3, all_1628_4, all_1628_5, all_1628_6, all_1628_7
% 298.86/67.72 | gives:
% 298.86/67.72 | (621) c_Polynomial_Osmult(tc_Complex_Ocomplex, all_1628_4, v_q____) =
% 298.86/67.72 | all_1628_3 & c_Polynomial_Opoly(tc_Complex_Ocomplex, all_1628_3) =
% 298.86/67.72 | all_1628_2 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) =
% 298.86/67.72 | all_1628_7 & c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,
% 298.86/67.72 | all_1628_5) = all_1628_4 &
% 298.86/67.72 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1628_5) =
% 298.86/67.72 | all_1628_0 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 298.86/67.72 | all_1628_6 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1628_1
% 298.86/67.72 | & hAPP(all_1628_7, all_1628_6) = all_1628_5 & $i(all_1628_0) &
% 298.86/67.72 | $i(all_1628_1) & $i(all_1628_2) & $i(all_1628_3) & $i(all_1628_4) &
% 298.86/67.72 | $i(all_1628_5) & $i(all_1628_6) & $i(all_1628_7) & ! [v0: $i] : !
% 298.86/67.72 | [v1: $i] : ( ~ (hAPP(all_1628_2, v0) = v1) | ~ $i(v0) | ? [v2: $i]
% 298.86/67.72 | : ? [v3: $i] : ? [v4: $i] :
% 298.86/67.72 | ((c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 &
% 298.86/67.72 | hAPP(all_1628_7, v0) = v3 & $i(v4) & $i(v3) &
% 298.86/67.72 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4,
% 298.86/67.72 | all_1628_0)) |
% 298.86/67.72 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v2 &
% 298.86/67.72 | $i(v2) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2,
% 298.86/67.72 | all_1628_1)))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 298.86/67.72 | (hAPP(all_1628_2, v0) = v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: $i]
% 298.86/67.72 | : ? [v4: $i] :
% 298.86/67.72 | ((c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3 &
% 298.86/67.72 | hAPP(all_1628_7, v0) = v2 & $i(v3) & $i(v2) & ~
% 298.86/67.72 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3,
% 298.86/67.72 | all_1628_0)) |
% 298.86/67.72 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v4 &
% 298.86/67.72 | $i(v4) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4,
% 298.86/67.72 | all_1628_1))))
% 298.86/67.72 |
% 298.86/67.72 | ALPHA: (621) implies:
% 298.86/67.72 | (622) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1628_1
% 298.86/67.72 |
% 298.86/67.72 | DELTA: instantiating (87) with fresh symbols all_1631_0, all_1631_1,
% 298.86/67.72 | all_1631_2, all_1631_3, all_1631_4, all_1631_5, all_1631_6, all_1631_7,
% 298.86/67.72 | all_1631_8, all_1631_9, all_1631_10, all_1631_11, all_1631_12,
% 298.86/67.72 | all_1631_13, all_1631_14, all_1631_15, all_1631_16, all_1631_17,
% 298.86/67.72 | all_1631_18, all_1631_19, all_1631_20, all_1631_21, all_1631_22,
% 298.86/67.72 | all_1631_23 gives:
% 298.86/67.72 | (623) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = all_1631_7 &
% 298.86/67.72 | c_RealVector_Oof__real(tc_Complex_Ocomplex, all_1631_19) =
% 298.86/67.72 | all_1631_18 & c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) =
% 298.86/67.72 | all_1631_15 & c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal,
% 298.86/67.72 | all_1631_23, all_1631_20) = all_1631_19 &
% 298.86/67.72 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1631_17 &
% 298.86/67.72 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1631_4) =
% 298.86/67.72 | all_1631_3 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 298.86/67.72 | all_1631_5) = all_1631_1 &
% 298.86/67.72 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1631_18) =
% 298.86/67.72 | all_1631_2 & c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,
% 298.86/67.72 | all_1631_18, all_1631_5) = all_1631_4 &
% 298.86/67.72 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1631_2, all_1631_1)
% 298.86/67.72 | = all_1631_0 & c_Power_Opower__class_Opower(tc_Complex_Ocomplex) =
% 298.86/67.72 | all_1631_16 & c_Power_Opower__class_Opower(tc_RealDef_Oreal) =
% 298.86/67.72 | all_1631_22 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) =
% 298.86/67.72 | all_1631_23 & hAPP(all_1631_7, all_1631_13) = all_1631_6 &
% 298.86/67.72 | hAPP(all_1631_8, all_1631_6) = all_1631_5 & hAPP(all_1631_10,
% 298.86/67.72 | all_1631_13) = all_1631_9 & hAPP(all_1631_12, v_k____) =
% 298.86/67.72 | all_1631_11 & hAPP(all_1631_14, v_w____) = all_1631_13 &
% 298.86/67.72 | hAPP(all_1631_16, all_1631_13) = all_1631_12 & hAPP(all_1631_17,
% 298.86/67.72 | all_1631_9) = all_1631_8 & hAPP(all_1631_17, all_1631_11) =
% 298.86/67.72 | all_1631_10 & hAPP(all_1631_17, all_1631_15) = all_1631_14 &
% 298.86/67.72 | hAPP(all_1631_21, v_k____) = all_1631_20 & hAPP(all_1631_22, v_t____)
% 298.86/67.72 | = all_1631_21 & $i(all_1631_0) & $i(all_1631_1) & $i(all_1631_2) &
% 298.86/67.72 | $i(all_1631_3) & $i(all_1631_4) & $i(all_1631_5) & $i(all_1631_6) &
% 298.86/67.72 | $i(all_1631_7) & $i(all_1631_8) & $i(all_1631_9) & $i(all_1631_10) &
% 298.86/67.72 | $i(all_1631_11) & $i(all_1631_12) & $i(all_1631_13) & $i(all_1631_14)
% 298.86/67.72 | & $i(all_1631_15) & $i(all_1631_16) & $i(all_1631_17) &
% 298.86/67.72 | $i(all_1631_18) & $i(all_1631_19) & $i(all_1631_20) & $i(all_1631_21)
% 298.86/67.72 | & $i(all_1631_22) & $i(all_1631_23) &
% 298.86/67.72 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1631_3,
% 298.86/67.72 | all_1631_0)
% 298.86/67.72 |
% 298.86/67.72 | ALPHA: (623) implies:
% 298.86/67.72 | (624) $i(all_1631_2)
% 298.86/67.72 | (625) hAPP(all_1631_22, v_t____) = all_1631_21
% 298.86/67.72 | (626) hAPP(all_1631_21, v_k____) = all_1631_20
% 298.86/67.72 | (627) hAPP(all_1631_17, all_1631_15) = all_1631_14
% 298.86/67.72 | (628) hAPP(all_1631_17, all_1631_11) = all_1631_10
% 298.86/67.72 | (629) hAPP(all_1631_17, all_1631_9) = all_1631_8
% 298.86/67.72 | (630) hAPP(all_1631_16, all_1631_13) = all_1631_12
% 298.86/67.72 | (631) hAPP(all_1631_14, v_w____) = all_1631_13
% 298.86/67.72 | (632) hAPP(all_1631_12, v_k____) = all_1631_11
% 298.86/67.72 | (633) hAPP(all_1631_10, all_1631_13) = all_1631_9
% 298.86/67.72 | (634) hAPP(all_1631_8, all_1631_6) = all_1631_5
% 298.86/67.72 | (635) hAPP(all_1631_7, all_1631_13) = all_1631_6
% 298.86/67.72 | (636) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1631_23
% 298.86/67.72 | (637) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1631_22
% 298.86/67.72 | (638) c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1631_16
% 298.86/67.72 | (639) c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1631_2, all_1631_1)
% 298.86/67.72 | = all_1631_0
% 298.86/67.72 | (640) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1631_5) =
% 298.86/67.72 | all_1631_1
% 298.86/67.72 | (641) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1631_17
% 298.86/67.72 | (642) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1631_23,
% 298.86/67.72 | all_1631_20) = all_1631_19
% 298.86/67.72 | (643) c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = all_1631_15
% 298.86/67.72 | (644) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = all_1631_7
% 298.86/67.72 |
% 298.86/67.72 | DELTA: instantiating (84) with fresh symbols all_1639_0, all_1639_1,
% 298.86/67.72 | all_1639_2, all_1639_3, all_1639_4, all_1639_5, all_1639_6, all_1639_7,
% 298.86/67.72 | all_1639_8, all_1639_9, all_1639_10, all_1639_11, all_1639_12,
% 298.86/67.72 | all_1639_13, all_1639_14, all_1639_15, all_1639_16, all_1639_17,
% 298.86/67.72 | all_1639_18, all_1639_19, all_1639_20, all_1639_21, all_1639_22,
% 298.86/67.72 | all_1639_23, all_1639_24 gives:
% 298.86/67.72 | (645) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = all_1639_14 &
% 298.86/67.72 | c_RealVector_Oof__real(tc_Complex_Ocomplex, all_1639_4) = all_1639_3
% 298.86/67.72 | & c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = all_1639_21
% 298.86/67.72 | & c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1639_8,
% 298.86/67.72 | all_1639_5) = all_1639_4 &
% 298.86/67.72 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1639_23 &
% 298.86/67.72 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, all_1639_3,
% 298.86/67.72 | all_1639_0) = all_1639_9 &
% 298.86/67.72 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, all_1639_24,
% 298.86/67.72 | all_1639_10) = all_1639_9 &
% 298.86/67.72 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_a____,
% 298.86/67.72 | all_1639_12) = all_1639_11 &
% 298.86/67.72 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1639_22 &
% 298.86/67.72 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1639_7 &
% 298.86/67.72 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1639_24 &
% 298.86/67.72 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1639_8 &
% 298.86/67.72 | hAPP(all_1639_1, all_1639_13) = all_1639_0 & hAPP(all_1639_6,
% 298.86/67.72 | v_k____) = all_1639_5 & hAPP(all_1639_7, v_t____) = all_1639_6 &
% 298.86/67.72 | hAPP(all_1639_14, all_1639_19) = all_1639_13 & hAPP(all_1639_15,
% 298.86/67.72 | all_1639_13) = all_1639_12 & hAPP(all_1639_16, all_1639_11) =
% 298.86/67.72 | all_1639_10 & hAPP(all_1639_16, all_1639_19) = all_1639_2 &
% 298.86/67.72 | hAPP(all_1639_18, v_k____) = all_1639_17 & hAPP(all_1639_20, v_w____)
% 298.86/67.72 | = all_1639_19 & hAPP(all_1639_22, all_1639_19) = all_1639_18 &
% 298.86/67.72 | hAPP(all_1639_23, all_1639_2) = all_1639_1 & hAPP(all_1639_23,
% 298.86/67.72 | all_1639_17) = all_1639_16 & hAPP(all_1639_23, all_1639_19) =
% 298.86/67.72 | all_1639_15 & hAPP(all_1639_23, all_1639_21) = all_1639_20 &
% 298.86/67.72 | $i(all_1639_0) & $i(all_1639_1) & $i(all_1639_2) & $i(all_1639_3) &
% 298.86/67.72 | $i(all_1639_4) & $i(all_1639_5) & $i(all_1639_6) & $i(all_1639_7) &
% 298.86/67.72 | $i(all_1639_8) & $i(all_1639_9) & $i(all_1639_10) & $i(all_1639_11) &
% 298.86/67.72 | $i(all_1639_12) & $i(all_1639_13) & $i(all_1639_14) & $i(all_1639_15)
% 298.86/67.72 | & $i(all_1639_16) & $i(all_1639_17) & $i(all_1639_18) &
% 298.86/67.72 | $i(all_1639_19) & $i(all_1639_20) & $i(all_1639_21) & $i(all_1639_22)
% 298.86/67.72 | & $i(all_1639_23) & $i(all_1639_24)
% 298.86/67.72 |
% 298.86/67.72 | ALPHA: (645) implies:
% 298.86/67.72 | (646) $i(all_1639_4)
% 298.86/67.72 | (647) hAPP(all_1639_23, all_1639_21) = all_1639_20
% 298.86/67.72 | (648) hAPP(all_1639_23, all_1639_17) = all_1639_16
% 298.86/67.72 | (649) hAPP(all_1639_22, all_1639_19) = all_1639_18
% 298.86/67.72 | (650) hAPP(all_1639_20, v_w____) = all_1639_19
% 298.86/67.72 | (651) hAPP(all_1639_18, v_k____) = all_1639_17
% 298.86/67.72 | (652) hAPP(all_1639_14, all_1639_19) = all_1639_13
% 298.86/67.72 | (653) hAPP(all_1639_7, v_t____) = all_1639_6
% 298.86/67.72 | (654) hAPP(all_1639_6, v_k____) = all_1639_5
% 298.86/67.72 | (655) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1639_8
% 298.86/67.72 | (656) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1639_7
% 298.86/67.72 | (657) c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1639_22
% 298.86/67.72 | (658) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1639_23
% 298.86/67.72 | (659) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1639_8,
% 298.86/67.72 | all_1639_5) = all_1639_4
% 298.86/67.72 | (660) c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = all_1639_21
% 298.86/67.72 | (661) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = all_1639_14
% 298.86/67.72 |
% 298.86/67.72 | DELTA: instantiating (106) with fresh symbols all_1641_0, all_1641_1,
% 298.86/67.72 | all_1641_2, all_1641_3, all_1641_4, all_1641_5, all_1641_6, all_1641_7,
% 298.86/67.72 | all_1641_8, all_1641_9, all_1641_10, all_1641_11, all_1641_12,
% 298.86/67.72 | all_1641_13, all_1641_14, all_1641_15, all_1641_16, all_1641_17,
% 298.86/67.72 | all_1641_18 gives:
% 298.86/67.72 | (662) ~ (all_1641_5 = all_1641_18) & ~ (all_1641_6 = all_1641_17) &
% 298.86/67.72 | c_Polynomial_OpCons(tc_Complex_Ocomplex, all_1641_5, all_1641_4) =
% 298.86/67.72 | all_1641_1 & c_Polynomial_Osmult(tc_Complex_Ocomplex, all_1641_13,
% 298.86/67.72 | v_q____) = all_1641_12 &
% 298.86/67.72 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 298.86/67.72 | all_1641_4) = all_1641_3 &
% 298.86/67.72 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 298.86/67.72 | all_1641_12) = all_1641_11 &
% 298.86/67.72 | c_Polynomial_Opoly(tc_Complex_Ocomplex, all_1641_1) = all_1641_0 &
% 298.86/67.72 | c_Polynomial_Opoly(tc_Complex_Ocomplex, all_1641_12) = all_1641_10 &
% 298.86/67.72 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = all_1641_15 &
% 298.86/67.72 | c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, all_1641_14) =
% 298.86/67.72 | all_1641_13 & c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) =
% 298.86/67.72 | all_1641_8 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_1641_2,
% 298.86/67.72 | all_1641_16) = all_1641_11 &
% 298.86/67.72 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_1641_3, all_1641_6) =
% 298.86/67.72 | all_1641_2 & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1641_17 &
% 298.86/67.72 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1641_18 &
% 298.86/67.72 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1641_7 &
% 298.86/67.72 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1641_16 &
% 298.86/67.72 | hAPP(all_1641_10, all_1641_18) = all_1641_9 & hAPP(all_1641_15,
% 298.86/67.72 | all_1641_18) = all_1641_14 & $i(all_1641_0) & $i(all_1641_1) &
% 298.86/67.72 | $i(all_1641_2) & $i(all_1641_3) & $i(all_1641_4) & $i(all_1641_5) &
% 298.86/67.72 | $i(all_1641_6) & $i(all_1641_7) & $i(all_1641_8) & $i(all_1641_9) &
% 298.86/67.72 | $i(all_1641_10) & $i(all_1641_11) & $i(all_1641_12) & $i(all_1641_13)
% 298.86/67.72 | & $i(all_1641_14) & $i(all_1641_15) & $i(all_1641_16) &
% 298.86/67.72 | $i(all_1641_17) & $i(all_1641_18) & ! [v0: $i] : ! [v1: $i] : ( ~
% 298.86/67.72 | (hAPP(all_1641_10, v0) = v1) | ~ $i(v0) | ? [v2: $i] : ? [v3:
% 298.86/67.72 | $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 298.86/67.72 | (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, all_1641_9, v6) =
% 298.86/67.72 | v1 & hAPP(v4, v5) = v6 & hAPP(v2, all_1641_6) = v3 &
% 298.86/67.72 | hAPP(all_1641_0, v0) = v5 & hAPP(all_1641_7, v0) = v2 &
% 298.86/67.72 | hAPP(all_1641_8, v3) = v4 & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 298.86/67.72 | $i(v2) & $i(v1)))
% 298.86/67.72 |
% 298.86/67.72 | ALPHA: (662) implies:
% 298.86/67.72 | (663) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1641_16
% 298.86/67.72 | (664) c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1641_7
% 298.86/67.72 | (665) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1641_8
% 298.86/67.72 |
% 298.86/67.72 | DELTA: instantiating (82) with fresh symbols all_1644_0, all_1644_1,
% 298.86/67.72 | all_1644_2, all_1644_3, all_1644_4, all_1644_5, all_1644_6, all_1644_7,
% 298.86/67.72 | all_1644_8, all_1644_9, all_1644_10, all_1644_11, all_1644_12,
% 298.86/67.72 | all_1644_13, all_1644_14, all_1644_15, all_1644_16, all_1644_17,
% 298.86/67.72 | all_1644_18, all_1644_19, all_1644_20, all_1644_21, all_1644_22,
% 298.86/67.72 | all_1644_23, all_1644_24, all_1644_25, all_1644_26 gives:
% 298.86/67.73 | (666) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = all_1644_16 &
% 298.86/67.73 | c_RealVector_Oof__real(tc_Complex_Ocomplex, all_1644_5) = all_1644_4
% 298.86/67.73 | & c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = all_1644_23
% 298.86/67.73 | & c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1644_9,
% 298.86/67.73 | all_1644_6) = all_1644_5 &
% 298.86/67.73 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1644_25 &
% 298.86/67.73 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1644_0) =
% 298.86/67.73 | all_1644_10 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 298.86/67.73 | all_1644_11) = all_1644_10 &
% 298.86/67.73 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, all_1644_4,
% 298.86/67.73 | all_1644_1) = all_1644_0 &
% 298.86/67.73 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, all_1644_26,
% 298.86/67.73 | all_1644_12) = all_1644_11 &
% 298.86/67.73 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_a____,
% 298.86/67.73 | all_1644_14) = all_1644_13 &
% 298.86/67.73 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1644_24 &
% 298.86/67.73 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1644_8 &
% 298.86/67.73 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1644_26 &
% 298.86/67.73 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1644_9 &
% 298.86/67.73 | hAPP(all_1644_2, all_1644_15) = all_1644_1 & hAPP(all_1644_7,
% 298.86/67.73 | v_k____) = all_1644_6 & hAPP(all_1644_8, v_t____) = all_1644_7 &
% 298.86/67.73 | hAPP(all_1644_16, all_1644_21) = all_1644_15 & hAPP(all_1644_17,
% 298.86/67.73 | all_1644_15) = all_1644_14 & hAPP(all_1644_18, all_1644_13) =
% 298.86/67.73 | all_1644_12 & hAPP(all_1644_18, all_1644_21) = all_1644_3 &
% 298.86/67.73 | hAPP(all_1644_20, v_k____) = all_1644_19 & hAPP(all_1644_22, v_w____)
% 298.86/67.73 | = all_1644_21 & hAPP(all_1644_24, all_1644_21) = all_1644_20 &
% 298.86/67.73 | hAPP(all_1644_25, all_1644_3) = all_1644_2 & hAPP(all_1644_25,
% 298.86/67.73 | all_1644_19) = all_1644_18 & hAPP(all_1644_25, all_1644_21) =
% 298.86/67.73 | all_1644_17 & hAPP(all_1644_25, all_1644_23) = all_1644_22 &
% 298.86/67.73 | $i(all_1644_0) & $i(all_1644_1) & $i(all_1644_2) & $i(all_1644_3) &
% 298.86/67.73 | $i(all_1644_4) & $i(all_1644_5) & $i(all_1644_6) & $i(all_1644_7) &
% 298.86/67.73 | $i(all_1644_8) & $i(all_1644_9) & $i(all_1644_10) & $i(all_1644_11) &
% 298.86/67.73 | $i(all_1644_12) & $i(all_1644_13) & $i(all_1644_14) & $i(all_1644_15)
% 298.86/67.73 | & $i(all_1644_16) & $i(all_1644_17) & $i(all_1644_18) &
% 298.86/67.73 | $i(all_1644_19) & $i(all_1644_20) & $i(all_1644_21) & $i(all_1644_22)
% 298.86/67.73 | & $i(all_1644_23) & $i(all_1644_24) & $i(all_1644_25) &
% 298.86/67.73 | $i(all_1644_26)
% 298.86/67.73 |
% 298.86/67.73 | ALPHA: (666) implies:
% 298.86/67.73 | (667) hAPP(all_1644_25, all_1644_23) = all_1644_22
% 298.86/67.73 | (668) hAPP(all_1644_25, all_1644_19) = all_1644_18
% 298.86/67.73 | (669) hAPP(all_1644_24, all_1644_21) = all_1644_20
% 298.86/67.73 | (670) hAPP(all_1644_22, v_w____) = all_1644_21
% 298.86/67.73 | (671) hAPP(all_1644_20, v_k____) = all_1644_19
% 298.86/67.73 | (672) hAPP(all_1644_16, all_1644_21) = all_1644_15
% 298.86/67.73 | (673) hAPP(all_1644_8, v_t____) = all_1644_7
% 298.86/67.73 | (674) hAPP(all_1644_7, v_k____) = all_1644_6
% 298.86/67.73 | (675) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1644_9
% 298.86/67.73 | (676) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1644_8
% 298.86/67.73 | (677) c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1644_24
% 298.86/67.73 | (678) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1644_25
% 298.86/67.73 | (679) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1644_9,
% 298.86/67.73 | all_1644_6) = all_1644_5
% 298.86/67.73 | (680) c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = all_1644_23
% 298.86/67.73 | (681) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = all_1644_16
% 298.86/67.73 |
% 298.86/67.73 | DELTA: instantiating (86) with fresh symbols all_1646_0, all_1646_1,
% 298.86/67.73 | all_1646_2, all_1646_3, all_1646_4, all_1646_5, all_1646_6, all_1646_7,
% 298.86/67.73 | all_1646_8, all_1646_9, all_1646_10, all_1646_11, all_1646_12,
% 298.86/67.73 | all_1646_13, all_1646_14, all_1646_15, all_1646_16, all_1646_17,
% 298.86/67.73 | all_1646_18, all_1646_19, all_1646_20, all_1646_21, all_1646_22,
% 298.86/67.73 | all_1646_23, all_1646_24, all_1646_25, all_1646_26, all_1646_27 gives:
% 298.86/67.73 | (682) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = all_1646_17 &
% 298.86/67.73 | c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = all_1646_24 &
% 298.86/67.73 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1646_26 &
% 298.86/67.73 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, all_1646_3,
% 298.86/67.73 | all_1646_0) = all_1646_12 &
% 298.86/67.73 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, all_1646_27,
% 298.86/67.73 | all_1646_4) = all_1646_3 &
% 298.86/67.73 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, all_1646_27,
% 298.86/67.73 | all_1646_13) = all_1646_12 &
% 298.86/67.73 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_a____,
% 298.86/67.73 | all_1646_15) = all_1646_14 &
% 298.86/67.73 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1646_25 &
% 298.86/67.73 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1646_27 &
% 298.86/67.73 | hAPP(all_1646_1, all_1646_16) = all_1646_0 & hAPP(all_1646_6,
% 298.86/67.73 | v_a____) = all_1646_5 & hAPP(all_1646_8, v_k____) = all_1646_7 &
% 298.86/67.73 | hAPP(all_1646_9, all_1646_5) = all_1646_4 & hAPP(all_1646_11,
% 298.86/67.73 | v_k____) = all_1646_10 & hAPP(all_1646_17, all_1646_22) =
% 298.86/67.73 | all_1646_16 & hAPP(all_1646_18, all_1646_16) = all_1646_15 &
% 298.86/67.73 | hAPP(all_1646_19, all_1646_14) = all_1646_13 & hAPP(all_1646_19,
% 298.86/67.73 | all_1646_22) = all_1646_2 & hAPP(all_1646_21, v_k____) =
% 298.86/67.73 | all_1646_20 & hAPP(all_1646_23, v_w____) = all_1646_22 &
% 298.86/67.73 | hAPP(all_1646_25, all_1646_22) = all_1646_21 & hAPP(all_1646_25,
% 298.86/67.73 | all_1646_24) = all_1646_11 & hAPP(all_1646_25, v_w____) =
% 298.86/67.73 | all_1646_8 & hAPP(all_1646_26, all_1646_2) = all_1646_1 &
% 298.86/67.73 | hAPP(all_1646_26, all_1646_7) = all_1646_6 & hAPP(all_1646_26,
% 298.86/67.73 | all_1646_10) = all_1646_9 & hAPP(all_1646_26, all_1646_20) =
% 298.86/67.73 | all_1646_19 & hAPP(all_1646_26, all_1646_22) = all_1646_18 &
% 298.86/67.73 | hAPP(all_1646_26, all_1646_24) = all_1646_23 & $i(all_1646_0) &
% 298.86/67.73 | $i(all_1646_1) & $i(all_1646_2) & $i(all_1646_3) & $i(all_1646_4) &
% 298.86/67.73 | $i(all_1646_5) & $i(all_1646_6) & $i(all_1646_7) & $i(all_1646_8) &
% 298.86/67.73 | $i(all_1646_9) & $i(all_1646_10) & $i(all_1646_11) & $i(all_1646_12)
% 298.86/67.73 | & $i(all_1646_13) & $i(all_1646_14) & $i(all_1646_15) &
% 298.86/67.73 | $i(all_1646_16) & $i(all_1646_17) & $i(all_1646_18) & $i(all_1646_19)
% 298.86/67.73 | & $i(all_1646_20) & $i(all_1646_21) & $i(all_1646_22) &
% 298.86/67.73 | $i(all_1646_23) & $i(all_1646_24) & $i(all_1646_25) & $i(all_1646_26)
% 298.86/67.73 | & $i(all_1646_27)
% 298.86/67.73 |
% 298.86/67.73 | ALPHA: (682) implies:
% 298.86/67.73 | (683) hAPP(all_1646_26, all_1646_24) = all_1646_23
% 298.86/67.73 | (684) hAPP(all_1646_26, all_1646_20) = all_1646_19
% 298.86/67.73 | (685) hAPP(all_1646_26, all_1646_2) = all_1646_1
% 298.86/67.73 | (686) hAPP(all_1646_25, all_1646_22) = all_1646_21
% 298.86/67.73 | (687) hAPP(all_1646_23, v_w____) = all_1646_22
% 298.86/67.73 | (688) hAPP(all_1646_21, v_k____) = all_1646_20
% 298.86/67.73 | (689) hAPP(all_1646_19, all_1646_22) = all_1646_2
% 298.86/67.73 | (690) hAPP(all_1646_17, all_1646_22) = all_1646_16
% 298.86/67.73 | (691) hAPP(all_1646_1, all_1646_16) = all_1646_0
% 298.86/67.73 | (692) c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1646_25
% 298.86/67.73 | (693) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1646_26
% 298.86/67.73 | (694) c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = all_1646_24
% 298.86/67.73 | (695) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = all_1646_17
% 298.86/67.73 |
% 298.86/67.73 | DELTA: instantiating (88) with fresh symbols all_1648_0, all_1648_1,
% 298.86/67.73 | all_1648_2, all_1648_3, all_1648_4, all_1648_5, all_1648_6, all_1648_7,
% 298.86/67.73 | all_1648_8, all_1648_9, all_1648_10, all_1648_11, all_1648_12,
% 298.86/67.73 | all_1648_13, all_1648_14, all_1648_15, all_1648_16, all_1648_17,
% 298.86/67.73 | all_1648_18, all_1648_19, all_1648_20, all_1648_21, all_1648_22,
% 298.86/67.73 | all_1648_23, all_1648_24, all_1648_25, all_1648_26, all_1648_27 gives:
% 298.86/67.73 | (696) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = all_1648_17 &
% 298.86/67.73 | c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1648_6) = all_1648_5
% 298.86/67.73 | & c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = all_1648_24
% 298.86/67.73 | & c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1648_10,
% 298.86/67.73 | all_1648_7) = all_1648_6 &
% 298.86/67.73 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1648_26 &
% 298.86/67.73 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1648_2) =
% 298.86/67.73 | all_1648_1 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 298.86/67.73 | all_1648_12) = all_1648_11 &
% 298.86/67.73 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, all_1648_27,
% 298.86/67.73 | all_1648_13) = all_1648_12 &
% 298.86/67.73 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_a____,
% 298.86/67.73 | all_1648_15) = all_1648_14 &
% 298.86/67.73 | c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1648_5, all_1648_1)
% 298.86/67.73 | = all_1648_0 & c_Power_Opower__class_Opower(tc_Complex_Ocomplex) =
% 298.86/67.73 | all_1648_25 & c_Power_Opower__class_Opower(tc_RealDef_Oreal) =
% 298.86/67.73 | all_1648_9 & c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) =
% 298.86/67.73 | all_1648_27 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) =
% 298.86/67.73 | all_1648_10 & hAPP(all_1648_3, all_1648_16) = all_1648_2 &
% 298.86/67.73 | hAPP(all_1648_8, v_k____) = all_1648_7 & hAPP(all_1648_9, v_t____) =
% 298.86/67.73 | all_1648_8 & hAPP(all_1648_17, all_1648_22) = all_1648_16 &
% 298.86/67.73 | hAPP(all_1648_18, all_1648_16) = all_1648_15 & hAPP(all_1648_19,
% 298.86/67.73 | all_1648_14) = all_1648_13 & hAPP(all_1648_19, all_1648_22) =
% 298.86/67.73 | all_1648_4 & hAPP(all_1648_21, v_k____) = all_1648_20 &
% 298.86/67.73 | hAPP(all_1648_23, v_w____) = all_1648_22 & hAPP(all_1648_25,
% 298.86/67.73 | all_1648_22) = all_1648_21 & hAPP(all_1648_26, all_1648_4) =
% 298.86/67.73 | all_1648_3 & hAPP(all_1648_26, all_1648_20) = all_1648_19 &
% 298.86/67.73 | hAPP(all_1648_26, all_1648_22) = all_1648_18 & hAPP(all_1648_26,
% 298.86/67.73 | all_1648_24) = all_1648_23 & $i(all_1648_0) & $i(all_1648_1) &
% 298.86/67.73 | $i(all_1648_2) & $i(all_1648_3) & $i(all_1648_4) & $i(all_1648_5) &
% 298.86/67.73 | $i(all_1648_6) & $i(all_1648_7) & $i(all_1648_8) & $i(all_1648_9) &
% 298.86/67.73 | $i(all_1648_10) & $i(all_1648_11) & $i(all_1648_12) & $i(all_1648_13)
% 298.86/67.73 | & $i(all_1648_14) & $i(all_1648_15) & $i(all_1648_16) &
% 298.86/67.73 | $i(all_1648_17) & $i(all_1648_18) & $i(all_1648_19) & $i(all_1648_20)
% 298.86/67.73 | & $i(all_1648_21) & $i(all_1648_22) & $i(all_1648_23) &
% 298.86/67.73 | $i(all_1648_24) & $i(all_1648_25) & $i(all_1648_26) & $i(all_1648_27)
% 298.86/67.73 | & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1648_11,
% 298.86/67.73 | all_1648_0)
% 298.86/67.73 |
% 298.86/67.73 | ALPHA: (696) implies:
% 298.86/67.73 | (697) $i(all_1648_5)
% 298.86/67.73 | (698) $i(all_1648_1)
% 298.86/67.73 | (699) hAPP(all_1648_26, all_1648_24) = all_1648_23
% 298.86/67.73 | (700) hAPP(all_1648_26, all_1648_20) = all_1648_19
% 298.86/67.73 | (701) hAPP(all_1648_26, all_1648_4) = all_1648_3
% 298.86/67.73 | (702) hAPP(all_1648_25, all_1648_22) = all_1648_21
% 298.86/67.73 | (703) hAPP(all_1648_23, v_w____) = all_1648_22
% 298.86/67.73 | (704) hAPP(all_1648_21, v_k____) = all_1648_20
% 298.86/67.73 | (705) hAPP(all_1648_19, all_1648_22) = all_1648_4
% 298.86/67.73 | (706) hAPP(all_1648_17, all_1648_22) = all_1648_16
% 298.86/67.73 | (707) hAPP(all_1648_9, v_t____) = all_1648_8
% 298.86/67.73 | (708) hAPP(all_1648_8, v_k____) = all_1648_7
% 298.86/67.73 | (709) hAPP(all_1648_3, all_1648_16) = all_1648_2
% 298.86/67.73 | (710) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1648_10
% 298.86/67.73 | (711) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1648_9
% 298.86/67.73 | (712) c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1648_25
% 298.86/67.73 | (713) c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1648_5, all_1648_1)
% 298.86/67.73 | = all_1648_0
% 298.86/67.73 | (714) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1648_2) =
% 298.86/67.73 | all_1648_1
% 298.86/67.73 | (715) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1648_26
% 298.86/67.73 | (716) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1648_10,
% 298.86/67.73 | all_1648_7) = all_1648_6
% 298.86/67.73 | (717) c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = all_1648_24
% 298.86/67.73 | (718) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1648_6) = all_1648_5
% 298.86/67.73 | (719) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = all_1648_17
% 298.86/67.73 |
% 298.86/67.73 | DELTA: instantiating (83) with fresh symbols all_1650_0, all_1650_1,
% 298.86/67.73 | all_1650_2, all_1650_3, all_1650_4, all_1650_5, all_1650_6, all_1650_7,
% 298.86/67.73 | all_1650_8, all_1650_9, all_1650_10, all_1650_11, all_1650_12,
% 298.86/67.73 | all_1650_13, all_1650_14, all_1650_15, all_1650_16, all_1650_17,
% 298.86/67.73 | all_1650_18, all_1650_19, all_1650_20, all_1650_21, all_1650_22,
% 298.86/67.73 | all_1650_23, all_1650_24, all_1650_25, all_1650_26, all_1650_27,
% 298.86/67.73 | all_1650_28, all_1650_29 gives:
% 298.86/67.73 | (720) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = all_1650_9 &
% 298.86/67.73 | c_RealVector_Oof__real(tc_Complex_Ocomplex, all_1650_1) = all_1650_0
% 298.86/67.73 | & c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = all_1650_26
% 298.86/67.73 | & c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1650_5,
% 298.86/67.73 | all_1650_2) = all_1650_1 &
% 298.86/67.73 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1650_28 &
% 298.86/67.73 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, all_1650_0,
% 298.86/67.73 | all_1650_7) = all_1650_6 &
% 298.86/67.73 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, all_1650_17,
% 298.86/67.73 | all_1650_7) = all_1650_6 &
% 298.86/67.73 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, all_1650_29,
% 298.86/67.73 | all_1650_18) = all_1650_17 &
% 298.86/67.73 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1650_27 &
% 298.86/67.73 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1650_4 &
% 298.86/67.73 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1650_29 &
% 298.86/67.73 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1650_5 &
% 298.86/67.73 | hAPP(all_1650_3, v_k____) = all_1650_2 & hAPP(all_1650_4, v_t____) =
% 298.86/67.73 | all_1650_3 & hAPP(all_1650_9, all_1650_15) = all_1650_8 &
% 298.86/67.73 | hAPP(all_1650_10, all_1650_8) = all_1650_7 & hAPP(all_1650_12,
% 298.86/67.73 | all_1650_15) = all_1650_11 & hAPP(all_1650_14, v_k____) =
% 298.86/67.73 | all_1650_13 & hAPP(all_1650_16, v_w____) = all_1650_15 &
% 298.86/67.73 | hAPP(all_1650_20, v_a____) = all_1650_19 & hAPP(all_1650_22, v_k____)
% 298.86/67.73 | = all_1650_21 & hAPP(all_1650_23, all_1650_19) = all_1650_18 &
% 298.86/67.73 | hAPP(all_1650_25, v_k____) = all_1650_24 & hAPP(all_1650_27,
% 298.86/67.73 | all_1650_15) = all_1650_14 & hAPP(all_1650_27, all_1650_26) =
% 298.86/67.73 | all_1650_25 & hAPP(all_1650_27, v_w____) = all_1650_22 &
% 298.86/67.73 | hAPP(all_1650_28, all_1650_11) = all_1650_10 & hAPP(all_1650_28,
% 298.86/67.73 | all_1650_13) = all_1650_12 & hAPP(all_1650_28, all_1650_21) =
% 298.86/67.73 | all_1650_20 & hAPP(all_1650_28, all_1650_24) = all_1650_23 &
% 298.86/67.73 | hAPP(all_1650_28, all_1650_26) = all_1650_16 & $i(all_1650_0) &
% 298.86/67.73 | $i(all_1650_1) & $i(all_1650_2) & $i(all_1650_3) & $i(all_1650_4) &
% 298.86/67.73 | $i(all_1650_5) & $i(all_1650_6) & $i(all_1650_7) & $i(all_1650_8) &
% 298.86/67.73 | $i(all_1650_9) & $i(all_1650_10) & $i(all_1650_11) & $i(all_1650_12)
% 298.86/67.73 | & $i(all_1650_13) & $i(all_1650_14) & $i(all_1650_15) &
% 298.86/67.73 | $i(all_1650_16) & $i(all_1650_17) & $i(all_1650_18) & $i(all_1650_19)
% 298.86/67.73 | & $i(all_1650_20) & $i(all_1650_21) & $i(all_1650_22) &
% 298.86/67.73 | $i(all_1650_23) & $i(all_1650_24) & $i(all_1650_25) & $i(all_1650_26)
% 298.86/67.73 | & $i(all_1650_27) & $i(all_1650_28) & $i(all_1650_29)
% 298.86/67.73 |
% 298.86/67.73 | ALPHA: (720) implies:
% 298.86/67.73 | (721) hAPP(all_1650_28, all_1650_26) = all_1650_16
% 298.86/67.73 | (722) hAPP(all_1650_28, all_1650_13) = all_1650_12
% 298.86/67.73 | (723) hAPP(all_1650_27, all_1650_15) = all_1650_14
% 298.86/67.73 | (724) hAPP(all_1650_16, v_w____) = all_1650_15
% 298.86/67.73 | (725) hAPP(all_1650_14, v_k____) = all_1650_13
% 298.86/67.73 | (726) hAPP(all_1650_9, all_1650_15) = all_1650_8
% 298.86/67.73 | (727) hAPP(all_1650_4, v_t____) = all_1650_3
% 298.86/67.73 | (728) hAPP(all_1650_3, v_k____) = all_1650_2
% 298.86/67.73 | (729) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1650_5
% 298.86/67.73 | (730) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1650_4
% 298.86/67.73 | (731) c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1650_27
% 298.86/67.73 | (732) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1650_28
% 298.86/67.73 | (733) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_1650_5,
% 298.86/67.73 | all_1650_2) = all_1650_1
% 298.86/67.73 | (734) c_RealVector_Oof__real(tc_Complex_Ocomplex, v_t____) = all_1650_26
% 298.86/67.73 | (735) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = all_1650_9
% 298.86/67.73 |
% 298.86/67.73 | GROUND_INST: instantiating (181) with all_828_1, all_975_0, tc_RealDef_Oreal,
% 298.86/67.73 | simplifying with (213), (259) gives:
% 298.86/67.73 | (736) all_975_0 = all_828_1
% 298.86/67.73 |
% 298.86/67.73 | GROUND_INST: instantiating (181) with all_815_1, all_975_0, tc_RealDef_Oreal,
% 298.86/67.73 | simplifying with (209), (259) gives:
% 298.86/67.73 | (737) all_975_0 = all_815_1
% 298.86/67.73 |
% 298.86/67.73 | GROUND_INST: instantiating (181) with all_735_0, all_975_0, tc_RealDef_Oreal,
% 298.86/67.73 | simplifying with (193), (259) gives:
% 298.86/67.73 | (738) all_975_0 = all_735_0
% 298.86/67.73 |
% 298.86/67.73 | GROUND_INST: instantiating (181) with all_978_3, all_983_0, tc_RealDef_Oreal,
% 298.86/67.73 | simplifying with (262), (269) gives:
% 298.86/67.74 | (739) all_983_0 = all_978_3
% 298.86/67.74 |
% 298.86/67.74 | GROUND_INST: instantiating (181) with all_936_0, all_983_0, tc_RealDef_Oreal,
% 298.86/67.74 | simplifying with (243), (269) gives:
% 298.86/67.74 | (740) all_983_0 = all_936_0
% 298.86/67.74 |
% 298.86/67.74 | GROUND_INST: instantiating (181) with all_927_0, all_983_0, tc_RealDef_Oreal,
% 298.86/67.74 | simplifying with (241), (269) gives:
% 298.86/67.74 | (741) all_983_0 = all_927_0
% 298.86/67.74 |
% 298.86/67.74 | GROUND_INST: instantiating (181) with all_927_0, all_1105_0, tc_RealDef_Oreal,
% 298.86/67.74 | simplifying with (241), (311) gives:
% 298.86/67.74 | (742) all_1105_0 = all_927_0
% 298.86/67.74 |
% 298.86/67.74 | GROUND_INST: instantiating (181) with all_1105_0, all_1123_0,
% 298.86/67.74 | tc_RealDef_Oreal, simplifying with (311), (323) gives:
% 298.86/67.74 | (743) all_1123_0 = all_1105_0
% 298.86/67.74 |
% 298.86/67.74 | GROUND_INST: instantiating (181) with all_1029_0, all_1147_0,
% 298.86/67.74 | tc_RealDef_Oreal, simplifying with (291), (332) gives:
% 298.86/67.74 | (744) all_1147_0 = all_1029_0
% 298.86/67.74 |
% 298.86/67.74 | GROUND_INST: instantiating (181) with all_1012_0, all_1147_0,
% 298.86/67.74 | tc_RealDef_Oreal, simplifying with (285), (332) gives:
% 298.86/67.74 | (745) all_1147_0 = all_1012_0
% 298.86/67.74 |
% 298.86/67.74 | GROUND_INST: instantiating (181) with all_1029_0, all_1201_0,
% 298.86/67.74 | tc_RealDef_Oreal, simplifying with (291), (357) gives:
% 298.86/67.74 | (746) all_1201_0 = all_1029_0
% 298.86/67.74 |
% 298.86/67.74 | GROUND_INST: instantiating (181) with all_808_0, all_1201_0, tc_RealDef_Oreal,
% 298.86/67.74 | simplifying with (206), (357) gives:
% 298.86/67.74 | (747) all_1201_0 = all_808_0
% 298.86/67.74 |
% 298.86/67.74 | GROUND_INST: instantiating (181) with all_1201_0, all_1248_1,
% 298.86/67.74 | tc_RealDef_Oreal, simplifying with (357), (376) gives:
% 298.86/67.74 | (748) all_1248_1 = all_1201_0
% 298.86/67.74 |
% 298.86/67.74 | GROUND_INST: instantiating (181) with all_1248_1, all_1272_1,
% 298.86/67.74 | tc_RealDef_Oreal, simplifying with (376), (382) gives:
% 298.86/67.74 | (749) all_1272_1 = all_1248_1
% 298.86/67.74 |
% 298.86/67.74 | GROUND_INST: instantiating (181) with all_1123_0, all_1291_2,
% 298.86/67.74 | tc_RealDef_Oreal, simplifying with (323), (398) gives:
% 298.86/67.74 | (750) all_1291_2 = all_1123_0
% 298.86/67.74 |
% 298.86/67.74 | GROUND_INST: instantiating (181) with all_1291_2, all_1304_1,
% 298.86/67.74 | tc_RealDef_Oreal, simplifying with (398), (407) gives:
% 298.86/67.74 | (751) all_1304_1 = all_1291_2
% 298.86/67.74 |
% 298.86/67.74 | GROUND_INST: instantiating (181) with all_1304_1, all_1423_0,
% 298.86/67.74 | tc_RealDef_Oreal, simplifying with (407), (467) gives:
% 298.86/67.74 | (752) all_1423_0 = all_1304_1
% 298.86/67.74 |
% 298.86/67.74 | GROUND_INST: instantiating (181) with all_1539_1, all_1566_0,
% 298.86/67.74 | tc_RealDef_Oreal, simplifying with (538), (564) gives:
% 298.86/67.74 | (753) all_1566_0 = all_1539_1
% 298.86/67.74 |
% 298.86/67.74 | GROUND_INST: instantiating (181) with all_1566_0, all_1573_0,
% 298.86/67.74 | tc_RealDef_Oreal, simplifying with (564), (574) gives:
% 298.86/67.74 | (754) all_1573_0 = all_1566_0
% 298.86/67.74 |
% 298.86/67.74 | GROUND_INST: instantiating (181) with all_1573_0, all_1579_1,
% 298.86/67.74 | tc_RealDef_Oreal, simplifying with (574), (579) gives:
% 298.86/67.74 | (755) all_1579_1 = all_1573_0
% 298.86/67.74 |
% 298.86/67.74 | GROUND_INST: instantiating (181) with all_1579_1, all_1584_11,
% 298.86/67.74 | tc_RealDef_Oreal, simplifying with (579), (585) gives:
% 298.86/67.74 | (756) all_1584_11 = all_1579_1
% 298.86/67.74 |
% 298.86/67.74 | GROUND_INST: instantiating (181) with all_927_0, all_1589_0, tc_RealDef_Oreal,
% 298.86/67.74 | simplifying with (241), (594) gives:
% 298.86/67.74 | (757) all_1589_0 = all_927_0
% 298.86/67.74 |
% 298.86/67.74 | GROUND_INST: instantiating (181) with all_848_0, all_1589_0, tc_RealDef_Oreal,
% 298.86/67.74 | simplifying with (221), (594) gives:
% 298.86/67.74 | (758) all_1589_0 = all_848_0
% 298.86/67.74 |
% 298.86/67.74 | GROUND_INST: instantiating (181) with all_828_1, all_1589_0, tc_RealDef_Oreal,
% 298.86/67.74 | simplifying with (213), (594) gives:
% 298.86/67.74 | (759) all_1589_0 = all_828_1
% 298.86/67.74 |
% 298.86/67.74 | GROUND_INST: instantiating (181) with all_1584_11, all_1626_1,
% 298.86/67.74 | tc_RealDef_Oreal, simplifying with (585), (615) gives:
% 298.86/67.74 | (760) all_1626_1 = all_1584_11
% 298.86/67.74 |
% 298.86/67.74 | GROUND_INST: instantiating (181) with all_1321_0, all_1628_1,
% 298.86/67.74 | tc_RealDef_Oreal, simplifying with (414), (622) gives:
% 298.86/67.74 | (761) all_1628_1 = all_1321_0
% 298.86/67.74 |
% 298.86/67.74 | GROUND_INST: instantiating (181) with all_1272_1, all_1628_1,
% 298.86/67.74 | tc_RealDef_Oreal, simplifying with (382), (622) gives:
% 298.86/67.74 | (762) all_1628_1 = all_1272_1
% 298.86/67.74 |
% 298.86/67.74 | GROUND_INST: instantiating (181) with all_1093_0, all_1628_1,
% 298.86/67.74 | tc_RealDef_Oreal, simplifying with (307), (622) gives:
% 298.86/67.74 | (763) all_1628_1 = all_1093_0
% 298.86/67.74 |
% 298.86/67.74 | GROUND_INST: instantiating (181) with all_1626_1, all_1631_23,
% 298.86/67.74 | tc_RealDef_Oreal, simplifying with (615), (636) gives:
% 298.86/67.74 | (764) all_1631_23 = all_1626_1
% 298.86/67.74 |
% 298.86/67.74 | GROUND_INST: instantiating (181) with all_1147_0, all_1639_8,
% 298.86/67.74 | tc_RealDef_Oreal, simplifying with (332), (655) gives:
% 298.86/67.74 | (765) all_1639_8 = all_1147_0
% 298.86/67.74 |
% 298.86/67.74 | GROUND_INST: instantiating (181) with all_980_1, all_1639_8, tc_RealDef_Oreal,
% 298.86/67.74 | simplifying with (266), (655) gives:
% 298.86/67.74 | (766) all_1639_8 = all_980_1
% 298.86/67.74 |
% 298.86/67.74 | GROUND_INST: instantiating (181) with all_978_3, all_1639_8, tc_RealDef_Oreal,
% 298.86/67.74 | simplifying with (262), (655) gives:
% 298.86/67.74 | (767) all_1639_8 = all_978_3
% 298.86/67.74 |
% 298.86/67.74 | GROUND_INST: instantiating (181) with all_1539_1, all_1644_9,
% 298.86/67.74 | tc_RealDef_Oreal, simplifying with (538), (675) gives:
% 298.86/67.74 | (768) all_1644_9 = all_1539_1
% 298.86/67.74 |
% 298.86/67.74 | GROUND_INST: instantiating (181) with all_1438_0, all_1644_9,
% 298.86/67.74 | tc_RealDef_Oreal, simplifying with (469), (675) gives:
% 298.86/67.74 | (769) all_1644_9 = all_1438_0
% 298.86/67.74 |
% 298.86/67.75 | GROUND_INST: instantiating (181) with all_1423_0, all_1644_9,
% 298.86/67.75 | tc_RealDef_Oreal, simplifying with (467), (675) gives:
% 298.86/67.75 | (770) all_1644_9 = all_1423_0
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (181) with all_1631_23, all_1648_10,
% 298.86/67.75 | tc_RealDef_Oreal, simplifying with (636), (710) gives:
% 298.86/67.75 | (771) all_1648_10 = all_1631_23
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (181) with all_1648_10, all_1650_5,
% 298.86/67.75 | tc_RealDef_Oreal, simplifying with (710), (729) gives:
% 298.86/67.75 | (772) all_1650_5 = all_1648_10
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (181) with all_898_0, all_1650_5, tc_RealDef_Oreal,
% 298.86/67.75 | simplifying with (231), (729) gives:
% 298.86/67.75 | (773) all_1650_5 = all_898_0
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (181) with all_986_1, all_1056_0, tc_Nat_Onat,
% 298.86/67.75 | simplifying with (271), (296) gives:
% 298.86/67.75 | (774) all_1056_0 = all_986_1
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (181) with all_1056_0, all_1105_1, tc_Nat_Onat,
% 298.86/67.75 | simplifying with (296), (312) gives:
% 298.86/67.75 | (775) all_1105_1 = all_1056_0
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (181) with all_1199_5, all_1272_0, tc_Nat_Onat,
% 298.86/67.75 | simplifying with (354), (383) gives:
% 298.86/67.75 | (776) all_1272_0 = all_1199_5
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (181) with all_1207_4, all_1285_0, tc_Nat_Onat,
% 298.86/67.75 | simplifying with (362), (388) gives:
% 298.86/67.75 | (777) all_1285_0 = all_1207_4
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (181) with all_878_0, all_1285_0, tc_Nat_Onat,
% 298.86/67.75 | simplifying with (224), (388) gives:
% 298.86/67.75 | (778) all_1285_0 = all_878_0
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (181) with all_828_0, all_1285_0, tc_Nat_Onat,
% 298.86/67.75 | simplifying with (214), (388) gives:
% 298.86/67.75 | (779) all_1285_0 = all_828_0
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (181) with all_808_1, all_1285_0, tc_Nat_Onat,
% 298.86/67.75 | simplifying with (207), (388) gives:
% 298.86/67.75 | (780) all_1285_0 = all_808_1
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (181) with all_1248_0, all_1304_0, tc_Nat_Onat,
% 298.86/67.75 | simplifying with (377), (408) gives:
% 298.86/67.75 | (781) all_1304_0 = all_1248_0
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (181) with all_1199_5, all_1304_0, tc_Nat_Onat,
% 298.86/67.75 | simplifying with (354), (408) gives:
% 298.86/67.75 | (782) all_1304_0 = all_1199_5
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (181) with all_1158_1, all_1304_0, tc_Nat_Onat,
% 298.86/67.75 | simplifying with (338), (408) gives:
% 298.86/67.75 | (783) all_1304_0 = all_1158_1
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (181) with all_1147_1, all_1304_0, tc_Nat_Onat,
% 298.86/67.75 | simplifying with (333), (408) gives:
% 298.86/67.75 | (784) all_1304_0 = all_1147_1
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (181) with all_1105_1, all_1304_0, tc_Nat_Onat,
% 298.86/67.75 | simplifying with (312), (408) gives:
% 298.86/67.75 | (785) all_1304_0 = all_1105_1
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (181) with all_1272_0, all_1324_6, tc_Nat_Onat,
% 298.86/67.75 | simplifying with (383), (417) gives:
% 298.86/67.75 | (786) all_1324_6 = all_1272_0
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (181) with all_1285_0, all_1380_0, tc_Nat_Onat,
% 298.86/67.75 | simplifying with (388), (448) gives:
% 298.86/67.75 | (787) all_1380_0 = all_1285_0
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (181) with all_1285_0, all_1444_0, tc_Nat_Onat,
% 298.86/67.75 | simplifying with (388), (474) gives:
% 298.86/67.75 | (788) all_1444_0 = all_1285_0
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (181) with all_963_0, all_1444_0, tc_Nat_Onat,
% 298.86/67.75 | simplifying with (251), (474) gives:
% 298.86/67.75 | (789) all_1444_0 = all_963_0
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (181) with all_1458_6, all_1496_0, tc_Nat_Onat,
% 298.86/67.75 | simplifying with (480), (501) gives:
% 298.86/67.75 | (790) all_1496_0 = all_1458_6
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (181) with all_1380_0, all_1496_0, tc_Nat_Onat,
% 298.86/67.75 | simplifying with (448), (501) gives:
% 298.86/67.75 | (791) all_1496_0 = all_1380_0
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (181) with all_1496_0, all_1505_5, tc_Nat_Onat,
% 298.86/67.75 | simplifying with (501), (510) gives:
% 298.86/67.75 | (792) all_1505_5 = all_1496_0
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (181) with all_1324_6, all_1531_1, tc_Nat_Onat,
% 298.86/67.75 | simplifying with (417), (522) gives:
% 298.86/67.75 | (793) all_1531_1 = all_1324_6
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (181) with all_891_2, all_1531_1, tc_Nat_Onat,
% 298.86/67.75 | simplifying with (228), (522) gives:
% 298.86/67.75 | (794) all_1531_1 = all_891_2
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (181) with all_1531_1, all_1554_0, tc_Nat_Onat,
% 298.86/67.75 | simplifying with (522), (552) gives:
% 298.86/67.75 | (795) all_1554_0 = all_1531_1
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (181) with all_1534_5, all_1566_6, tc_Nat_Onat,
% 298.86/67.75 | simplifying with (530), (565) gives:
% 298.86/67.75 | (796) all_1566_6 = all_1534_5
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (181) with all_1505_5, all_1566_6, tc_Nat_Onat,
% 298.86/67.75 | simplifying with (510), (565) gives:
% 298.86/67.75 | (797) all_1566_6 = all_1505_5
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (181) with all_908_1, all_1566_6, tc_Nat_Onat,
% 298.86/67.75 | simplifying with (234), (565) gives:
% 298.86/67.75 | (798) all_1566_6 = all_908_1
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (181) with all_1444_0, all_1584_6, tc_Nat_Onat,
% 298.86/67.75 | simplifying with (474), (586) gives:
% 298.86/67.75 | (799) all_1584_6 = all_1444_0
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (181) with all_986_1, all_1584_6, tc_Nat_Onat,
% 298.86/67.75 | simplifying with (271), (586) gives:
% 298.86/67.75 | (800) all_1584_6 = all_986_1
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (181) with all_1554_0, all_1626_8, tc_Nat_Onat,
% 298.86/67.75 | simplifying with (552), (616) gives:
% 298.86/67.75 | (801) all_1626_8 = all_1554_0
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (181) with all_1377_1, all_1626_8, tc_Nat_Onat,
% 298.86/67.75 | simplifying with (446), (616) gives:
% 298.86/67.75 | (802) all_1626_8 = all_1377_1
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (181) with all_1584_6, all_1641_16, tc_Nat_Onat,
% 298.86/67.75 | simplifying with (586), (663) gives:
% 298.86/67.75 | (803) all_1641_16 = all_1584_6
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (181) with all_972_0, all_1641_16, tc_Nat_Onat,
% 298.86/67.75 | simplifying with (257), (663) gives:
% 298.86/67.75 | (804) all_1641_16 = all_972_0
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (182) with all_1315_1, all_1318_0,
% 298.86/67.75 | tc_RealDef_Oreal, simplifying with (410), (412) gives:
% 298.86/67.75 | (805) all_1318_0 = all_1315_1
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (182) with all_1315_1, all_1389_0,
% 298.86/67.75 | tc_RealDef_Oreal, simplifying with (410), (452) gives:
% 298.86/67.75 | (806) all_1389_0 = all_1315_1
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (182) with all_1318_0, all_1395_0,
% 298.86/67.75 | tc_RealDef_Oreal, simplifying with (412), (454) gives:
% 298.86/67.75 | (807) all_1395_0 = all_1318_0
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (182) with all_1288_0, all_1395_0,
% 298.86/67.75 | tc_RealDef_Oreal, simplifying with (391), (454) gives:
% 298.86/67.75 | (808) all_1395_0 = all_1288_0
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (182) with all_1389_0, all_1408_0,
% 298.86/67.75 | tc_RealDef_Oreal, simplifying with (452), (462) gives:
% 298.86/67.75 | (809) all_1408_0 = all_1389_0
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (182) with all_1408_0, all_1455_1,
% 298.86/67.75 | tc_RealDef_Oreal, simplifying with (462), (478) gives:
% 298.86/67.75 | (810) all_1455_1 = all_1408_0
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (182) with all_1455_1, all_1505_8,
% 298.86/67.75 | tc_RealDef_Oreal, simplifying with (478), (511) gives:
% 298.86/67.75 | (811) all_1505_8 = all_1455_1
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (182) with all_1505_8, all_1534_8,
% 298.86/67.75 | tc_RealDef_Oreal, simplifying with (511), (531) gives:
% 298.86/67.75 | (812) all_1534_8 = all_1505_8
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (182) with all_1584_9, all_1639_7,
% 298.86/67.75 | tc_RealDef_Oreal, simplifying with (587), (656) gives:
% 298.86/67.75 | (813) all_1639_7 = all_1584_9
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (182) with all_1007_2, all_1639_7,
% 298.86/67.75 | tc_RealDef_Oreal, simplifying with (280), (656) gives:
% 298.86/67.75 | (814) all_1639_7 = all_1007_2
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (182) with all_1631_22, all_1644_8,
% 298.86/67.75 | tc_RealDef_Oreal, simplifying with (637), (676) gives:
% 298.86/67.75 | (815) all_1644_8 = all_1631_22
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (182) with all_1584_9, all_1644_8,
% 298.86/67.75 | tc_RealDef_Oreal, simplifying with (587), (676) gives:
% 298.86/67.75 | (816) all_1644_8 = all_1584_9
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (182) with all_1539_0, all_1644_8,
% 298.86/67.75 | tc_RealDef_Oreal, simplifying with (539), (676) gives:
% 298.86/67.75 | (817) all_1644_8 = all_1539_0
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (182) with all_1534_8, all_1644_8,
% 298.86/67.75 | tc_RealDef_Oreal, simplifying with (531), (676) gives:
% 298.86/67.75 | (818) all_1644_8 = all_1534_8
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (182) with all_1639_7, all_1648_9,
% 298.86/67.75 | tc_RealDef_Oreal, simplifying with (656), (711) gives:
% 298.86/67.75 | (819) all_1648_9 = all_1639_7
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (182) with all_1626_15, all_1648_9,
% 298.86/67.75 | tc_RealDef_Oreal, simplifying with (617), (711) gives:
% 298.86/67.75 | (820) all_1648_9 = all_1626_15
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (182) with all_1584_9, all_1650_4,
% 298.86/67.75 | tc_RealDef_Oreal, simplifying with (587), (730) gives:
% 298.86/67.75 | (821) all_1650_4 = all_1584_9
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (182) with all_1566_9, all_1650_4,
% 298.86/67.75 | tc_RealDef_Oreal, simplifying with (566), (730) gives:
% 298.86/67.75 | (822) all_1650_4 = all_1566_9
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (182) with all_1398_5, all_1406_6,
% 298.86/67.75 | tc_Complex_Ocomplex, simplifying with (456), (459) gives:
% 298.86/67.75 | (823) all_1406_6 = all_1398_5
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (182) with all_1398_5, all_1491_7,
% 298.86/67.75 | tc_Complex_Ocomplex, simplifying with (456), (496) gives:
% 298.86/67.75 | (824) all_1491_7 = all_1398_5
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (182) with all_1406_6, all_1589_1,
% 298.86/67.75 | tc_Complex_Ocomplex, simplifying with (459), (595) gives:
% 298.86/67.75 | (825) all_1589_1 = all_1406_6
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (182) with all_1288_1, all_1589_1,
% 298.86/67.75 | tc_Complex_Ocomplex, simplifying with (392), (595) gives:
% 298.86/67.75 | (826) all_1589_1 = all_1288_1
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (182) with all_1491_7, all_1631_16,
% 298.86/67.75 | tc_Complex_Ocomplex, simplifying with (496), (638) gives:
% 298.86/67.75 | (827) all_1631_16 = all_1491_7
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (182) with all_1293_5, all_1631_16,
% 298.86/67.75 | tc_Complex_Ocomplex, simplifying with (402), (638) gives:
% 298.86/67.75 | (828) all_1631_16 = all_1293_5
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (182) with all_1631_16, all_1639_22,
% 298.86/67.75 | tc_Complex_Ocomplex, simplifying with (638), (657) gives:
% 298.86/67.75 | (829) all_1639_22 = all_1631_16
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (182) with all_1639_22, all_1641_7,
% 298.86/67.75 | tc_Complex_Ocomplex, simplifying with (657), (664) gives:
% 298.86/67.75 | (830) all_1641_7 = all_1639_22
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (182) with all_1641_7, all_1644_24,
% 298.86/67.75 | tc_Complex_Ocomplex, simplifying with (664), (677) gives:
% 298.86/67.75 | (831) all_1644_24 = all_1641_7
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (182) with all_1644_24, all_1646_25,
% 298.86/67.75 | tc_Complex_Ocomplex, simplifying with (677), (692) gives:
% 298.86/67.75 | (832) all_1646_25 = all_1644_24
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (182) with all_1646_25, all_1648_25,
% 298.86/67.75 | tc_Complex_Ocomplex, simplifying with (692), (712) gives:
% 298.86/67.75 | (833) all_1648_25 = all_1646_25
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (182) with all_1648_25, all_1650_27,
% 298.86/67.75 | tc_Complex_Ocomplex, simplifying with (712), (731) gives:
% 298.86/67.75 | (834) all_1650_27 = all_1648_25
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (182) with all_1600_2, all_1650_27,
% 298.86/67.75 | tc_Complex_Ocomplex, simplifying with (598), (731) gives:
% 298.86/67.75 | (835) all_1650_27 = all_1600_2
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (183) with all_788_0, all_792_0, tc_RealDef_Oreal,
% 298.86/67.75 | simplifying with (201), (203) gives:
% 298.86/67.75 | (836) all_792_0 = all_788_0
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (183) with all_788_0, all_841_1, tc_RealDef_Oreal,
% 298.86/67.75 | simplifying with (201), (216) gives:
% 298.86/67.75 | (837) all_841_1 = all_788_0
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (183) with all_841_1, all_845_1, tc_RealDef_Oreal,
% 298.86/67.75 | simplifying with (216), (218) gives:
% 298.86/67.75 | (838) all_845_1 = all_841_1
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (183) with all_845_1, all_848_1, tc_RealDef_Oreal,
% 298.86/67.75 | simplifying with (218), (222) gives:
% 298.86/67.75 | (839) all_848_1 = all_845_1
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (183) with all_881_0, all_913_0, tc_RealDef_Oreal,
% 298.86/67.75 | simplifying with (226), (237) gives:
% 298.86/67.75 | (840) all_913_0 = all_881_0
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (183) with all_792_0, all_913_0, tc_RealDef_Oreal,
% 298.86/67.75 | simplifying with (203), (237) gives:
% 298.86/67.75 | (841) all_913_0 = all_792_0
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (183) with all_881_0, all_920_0, tc_RealDef_Oreal,
% 298.86/67.75 | simplifying with (226), (239) gives:
% 298.86/67.75 | (842) all_920_0 = all_881_0
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (183) with all_920_0, all_945_1, tc_RealDef_Oreal,
% 298.86/67.75 | simplifying with (239), (247) gives:
% 298.86/67.75 | (843) all_945_1 = all_920_0
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (183) with all_945_1, all_969_1, tc_RealDef_Oreal,
% 298.86/67.75 | simplifying with (247), (255) gives:
% 298.86/67.75 | (844) all_969_1 = all_945_1
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (183) with all_969_1, all_975_1, tc_RealDef_Oreal,
% 298.86/67.75 | simplifying with (255), (260) gives:
% 298.86/67.75 | (845) all_975_1 = all_969_1
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (183) with all_975_1, all_989_0, tc_RealDef_Oreal,
% 298.86/67.75 | simplifying with (260), (273) gives:
% 298.86/67.75 | (846) all_989_0 = all_975_1
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (183) with all_848_1, all_1007_3, tc_RealDef_Oreal,
% 298.86/67.75 | simplifying with (222), (281) gives:
% 298.86/67.75 | (847) all_1007_3 = all_848_1
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (183) with all_1007_3, all_1043_1,
% 298.86/67.75 | tc_RealDef_Oreal, simplifying with (281), (294) gives:
% 298.86/67.75 | (848) all_1043_1 = all_1007_3
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (183) with all_1001_1, all_1043_1,
% 298.86/67.75 | tc_RealDef_Oreal, simplifying with (275), (294) gives:
% 298.86/67.75 | (849) all_1043_1 = all_1001_1
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (183) with all_1001_1, all_1074_0,
% 298.86/67.75 | tc_RealDef_Oreal, simplifying with (275), (300) gives:
% 298.86/67.75 | (850) all_1074_0 = all_1001_1
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (183) with all_1043_1, all_1102_0,
% 298.86/67.75 | tc_RealDef_Oreal, simplifying with (294), (309) gives:
% 298.86/67.75 | (851) all_1102_0 = all_1043_1
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (183) with all_1102_0, all_1108_0,
% 298.86/67.75 | tc_RealDef_Oreal, simplifying with (309), (314) gives:
% 298.86/67.75 | (852) all_1108_0 = all_1102_0
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (183) with all_1007_3, all_1111_0,
% 298.86/67.75 | tc_RealDef_Oreal, simplifying with (281), (316) gives:
% 298.86/67.75 | (853) all_1111_0 = all_1007_3
% 298.86/67.75 |
% 298.86/67.75 | GROUND_INST: instantiating (183) with all_1102_0, all_1114_1,
% 298.86/67.75 | tc_RealDef_Oreal, simplifying with (309), (318) gives:
% 298.86/67.75 | (854) all_1114_1 = all_1102_0
% 298.86/67.75 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_1108_0, all_1123_2,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (314), (324) gives:
% 298.86/67.76 | (855) all_1123_2 = all_1108_0
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_1120_1, all_1155_1,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (321), (335) gives:
% 298.86/67.76 | (856) all_1155_1 = all_1120_1
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_1074_0, all_1155_1,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (300), (335) gives:
% 298.86/67.76 | (857) all_1155_1 = all_1074_0
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_1114_1, all_1167_1,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (318), (342) gives:
% 298.86/67.76 | (858) all_1167_1 = all_1114_1
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_1161_0, all_1201_1,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (340), (358) gives:
% 298.86/67.76 | (859) all_1201_1 = all_1161_0
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_1155_1, all_1204_0,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (335), (360) gives:
% 298.86/67.76 | (860) all_1204_0 = all_1155_1
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_1192_0, all_1239_1,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (352), (371) gives:
% 298.86/67.76 | (861) all_1239_1 = all_1192_0
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_1111_0, all_1239_1,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (316), (371) gives:
% 298.86/67.76 | (862) all_1239_1 = all_1111_0
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_942_0, all_1239_1, tc_RealDef_Oreal,
% 298.86/67.76 | simplifying with (245), (371) gives:
% 298.86/67.76 | (863) all_1239_1 = all_942_0
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_1161_0, all_1242_0,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (340), (374) gives:
% 298.86/67.76 | (864) all_1242_0 = all_1161_0
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_1071_0, all_1242_0,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (298), (374) gives:
% 298.86/67.76 | (865) all_1242_0 = all_1071_0
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_1077_1, all_1254_0,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (302), (380) gives:
% 298.86/67.76 | (866) all_1254_0 = all_1077_1
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_1201_1, all_1321_1,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (358), (415) gives:
% 298.86/67.76 | (867) all_1321_1 = all_1201_1
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_1239_1, all_1338_0,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (371), (425) gives:
% 298.86/67.76 | (868) all_1338_0 = all_1239_1
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_1227_0, all_1338_0,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (366), (425) gives:
% 298.86/67.76 | (869) all_1338_0 = all_1227_0
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_1321_1, all_1350_0,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (415), (432) gives:
% 298.86/67.76 | (870) all_1350_0 = all_1321_1
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_1347_1, all_1353_3,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (429), (434) gives:
% 298.86/67.76 | (871) all_1353_3 = all_1347_1
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_1272_2, all_1353_3,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (384), (434) gives:
% 298.86/67.76 | (872) all_1353_3 = all_1272_2
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_1212_0, all_1353_3,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (364), (434) gives:
% 298.86/67.76 | (873) all_1353_3 = all_1212_0
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_1204_0, all_1362_0,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (360), (438) gives:
% 298.86/67.76 | (874) all_1362_0 = all_1204_0
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_745_0, all_1362_0, tc_RealDef_Oreal,
% 298.86/67.76 | simplifying with (197), (438) gives:
% 298.86/67.76 | (875) all_1362_0 = all_745_0
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_1329_3, all_1365_0,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (421), (440) gives:
% 298.86/67.76 | (876) all_1365_0 = all_1329_3
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_1043_1, all_1441_1,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (294), (471) gives:
% 298.86/67.76 | (877) all_1441_1 = all_1043_1
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_1414_1, all_1480_1,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (464), (488) gives:
% 298.86/67.76 | (878) all_1480_1 = all_1414_1
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_1254_0, all_1480_1,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (380), (488) gives:
% 298.86/67.76 | (879) all_1480_1 = all_1254_0
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_1233_1, all_1480_1,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (368), (488) gives:
% 298.86/67.76 | (880) all_1480_1 = all_1233_1
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_1365_0, all_1483_1,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (440), (491) gives:
% 298.86/67.76 | (881) all_1483_1 = all_1365_0
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_792_0, all_1499_2, tc_RealDef_Oreal,
% 298.86/67.76 | simplifying with (203), (503) gives:
% 298.86/67.76 | (882) all_1499_2 = all_792_0
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_747_0, all_1499_2, tc_RealDef_Oreal,
% 298.86/67.76 | simplifying with (199), (503) gives:
% 298.86/67.76 | (883) all_1499_2 = all_747_0
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_913_0, all_1528_0, tc_RealDef_Oreal,
% 298.86/67.76 | simplifying with (237), (520) gives:
% 298.86/67.76 | (884) all_1528_0 = all_913_0
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_825_0, all_1528_0, tc_RealDef_Oreal,
% 298.86/67.76 | simplifying with (211), (520) gives:
% 298.86/67.76 | (885) all_1528_0 = all_825_0
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_1341_0, all_1534_10,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (427), (532) gives:
% 298.86/67.76 | (886) all_1534_10 = all_1341_0
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_1285_1, all_1534_10,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (389), (532) gives:
% 298.86/67.76 | (887) all_1534_10 = all_1285_1
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_1272_2, all_1534_10,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (384), (532) gives:
% 298.86/67.76 | (888) all_1534_10 = all_1272_2
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_1254_0, all_1534_10,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (380), (532) gives:
% 298.86/67.76 | (889) all_1534_10 = all_1254_0
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_1248_2, all_1534_10,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (378), (532) gives:
% 298.86/67.76 | (890) all_1534_10 = all_1248_2
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_1167_1, all_1534_10,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (342), (532) gives:
% 298.86/67.76 | (891) all_1534_10 = all_1167_1
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_1483_1, all_1539_3,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (491), (540) gives:
% 298.86/67.76 | (892) all_1539_3 = all_1483_1
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_960_0, all_1539_3, tc_RealDef_Oreal,
% 298.86/67.76 | simplifying with (249), (540) gives:
% 298.86/67.76 | (893) all_1539_3 = all_960_0
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_1528_0, all_1542_1,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (520), (543) gives:
% 298.86/67.76 | (894) all_1542_1 = all_1528_0
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_1525_1, all_1542_1,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (517), (543) gives:
% 298.86/67.76 | (895) all_1542_1 = all_1525_1
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_1441_1, all_1548_1,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (471), (546) gives:
% 298.86/67.76 | (896) all_1548_1 = all_1441_1
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_966_0, all_1548_1, tc_RealDef_Oreal,
% 298.86/67.76 | simplifying with (253), (546) gives:
% 298.86/67.76 | (897) all_1548_1 = all_966_0
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_1365_0, all_1551_0,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (440), (549) gives:
% 298.86/67.76 | (898) all_1551_0 = all_1365_0
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_1123_2, all_1551_0,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (324), (549) gives:
% 298.86/67.76 | (899) all_1551_0 = all_1123_2
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_1350_0, all_1557_1,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (432), (554) gives:
% 298.86/67.76 | (900) all_1557_1 = all_1350_0
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_1557_1, all_1570_1,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (554), (571) gives:
% 298.86/67.76 | (901) all_1570_1 = all_1557_1
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_737_0, all_1570_1, tc_RealDef_Oreal,
% 298.86/67.76 | simplifying with (195), (571) gives:
% 298.86/67.76 | (902) all_1570_1 = all_737_0
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_1161_0, all_1576_1,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (340), (576) gives:
% 298.86/67.76 | (903) all_1576_1 = all_1161_0
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_1141_0, all_1576_1,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (330), (576) gives:
% 298.86/67.76 | (904) all_1576_1 = all_1141_0
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_1029_1, all_1576_1,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (292), (576) gives:
% 298.86/67.76 | (905) all_1576_1 = all_1029_1
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_989_0, all_1576_1, tc_RealDef_Oreal,
% 298.86/67.76 | simplifying with (273), (576) gives:
% 298.86/67.76 | (906) all_1576_1 = all_989_0
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_1551_0, all_1584_12,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (549), (588) gives:
% 298.86/67.76 | (907) all_1584_12 = all_1551_0
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (183) with all_1326_0, all_1584_12,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (419), (588) gives:
% 298.86/67.76 | (908) all_1584_12 = all_1326_0
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (186) with all_1190_0, all_1329_2, v_w____,
% 298.86/67.76 | tc_Complex_Ocomplex, simplifying with (348), (422) gives:
% 298.86/67.76 | (909) all_1329_2 = all_1190_0
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (186) with all_1132_1, all_1329_2, v_w____,
% 298.86/67.76 | tc_Complex_Ocomplex, simplifying with (327), (422) gives:
% 298.86/67.76 | (910) all_1329_2 = all_1132_1
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (186) with all_1329_2, all_1505_7, v_w____,
% 298.86/67.76 | tc_Complex_Ocomplex, simplifying with (422), (513) gives:
% 298.86/67.76 | (911) all_1505_7 = all_1329_2
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (186) with all_1291_4, all_1505_7, v_w____,
% 298.86/67.76 | tc_Complex_Ocomplex, simplifying with (399), (513) gives:
% 298.86/67.76 | (912) all_1505_7 = all_1291_4
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (186) with all_1505_7, all_1534_7, v_w____,
% 298.86/67.76 | tc_Complex_Ocomplex, simplifying with (513), (534) gives:
% 298.86/67.76 | (913) all_1534_7 = all_1505_7
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (186) with all_1534_7, all_1566_8, v_w____,
% 298.86/67.76 | tc_Complex_Ocomplex, simplifying with (534), (568) gives:
% 298.86/67.76 | (914) all_1566_8 = all_1534_7
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (186) with all_1566_8, all_1584_8, v_w____,
% 298.86/67.76 | tc_Complex_Ocomplex, simplifying with (568), (590) gives:
% 298.86/67.76 | (915) all_1584_8 = all_1566_8
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (186) with all_1584_8, all_1626_10, v_w____,
% 298.86/67.76 | tc_Complex_Ocomplex, simplifying with (590), (619) gives:
% 298.86/67.76 | (916) all_1626_10 = all_1584_8
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (186) with all_1353_2, all_1626_10, v_w____,
% 298.86/67.76 | tc_Complex_Ocomplex, simplifying with (435), (619) gives:
% 298.86/67.76 | (917) all_1626_10 = all_1353_2
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (184) with all_1114_0, all_1123_1,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (319), (325) gives:
% 298.86/67.76 | (918) all_1123_1 = all_1114_0
% 298.86/67.76 |
% 298.86/67.76 | GROUND_INST: instantiating (184) with all_1123_1, all_1155_0,
% 298.86/67.76 | tc_RealDef_Oreal, simplifying with (325), (336) gives:
% 298.86/67.76 | (919) all_1155_0 = all_1123_1
% 299.43/67.76 |
% 299.43/67.76 | GROUND_INST: instantiating (184) with all_1155_0, all_1167_0,
% 299.43/67.76 | tc_RealDef_Oreal, simplifying with (336), (343) gives:
% 299.43/67.76 | (920) all_1167_0 = all_1155_0
% 299.43/67.76 |
% 299.43/67.76 | GROUND_INST: instantiating (184) with all_1167_0, all_1233_0,
% 299.43/67.76 | tc_RealDef_Oreal, simplifying with (343), (369) gives:
% 299.43/67.76 | (921) all_1233_0 = all_1167_0
% 299.43/67.76 |
% 299.43/67.76 | GROUND_INST: instantiating (184) with all_1233_0, all_1239_0,
% 299.43/67.76 | tc_RealDef_Oreal, simplifying with (369), (372) gives:
% 299.43/67.76 | (922) all_1239_0 = all_1233_0
% 299.43/67.76 |
% 299.43/67.76 | GROUND_INST: instantiating (184) with all_1239_0, all_1282_0,
% 299.43/67.76 | tc_RealDef_Oreal, simplifying with (372), (386) gives:
% 299.43/67.76 | (923) all_1282_0 = all_1239_0
% 299.43/67.76 |
% 299.43/67.76 | GROUND_INST: instantiating (184) with all_1282_0, all_1291_6,
% 299.43/67.76 | tc_RealDef_Oreal, simplifying with (386), (400) gives:
% 299.43/67.76 | (924) all_1291_6 = all_1282_0
% 299.43/67.76 |
% 299.43/67.76 | GROUND_INST: instantiating (184) with all_1291_6, all_1295_0,
% 299.43/67.76 | tc_RealDef_Oreal, simplifying with (400), (405) gives:
% 299.43/67.76 | (925) all_1295_0 = all_1291_6
% 299.43/67.76 |
% 299.43/67.76 | GROUND_INST: instantiating (184) with all_1295_0, all_1347_0,
% 299.43/67.76 | tc_RealDef_Oreal, simplifying with (405), (430) gives:
% 299.43/67.76 | (926) all_1347_0 = all_1295_0
% 299.43/67.76 |
% 299.43/67.76 | GROUND_INST: instantiating (184) with all_1347_0, all_1371_0,
% 299.43/67.76 | tc_RealDef_Oreal, simplifying with (430), (442) gives:
% 299.43/67.76 | (927) all_1371_0 = all_1347_0
% 299.43/67.76 |
% 299.43/67.76 | GROUND_INST: instantiating (184) with all_1371_0, all_1374_0,
% 299.43/67.76 | tc_RealDef_Oreal, simplifying with (442), (444) gives:
% 299.43/67.76 | (928) all_1374_0 = all_1371_0
% 299.43/67.76 |
% 299.43/67.76 | GROUND_INST: instantiating (184) with all_1374_0, all_1383_0,
% 299.43/67.76 | tc_RealDef_Oreal, simplifying with (444), (450) gives:
% 299.43/67.76 | (929) all_1383_0 = all_1374_0
% 299.43/67.76 |
% 299.43/67.76 | GROUND_INST: instantiating (184) with all_1383_0, all_1414_0,
% 299.43/67.76 | tc_RealDef_Oreal, simplifying with (450), (465) gives:
% 299.43/67.76 | (930) all_1414_0 = all_1383_0
% 299.43/67.76 |
% 299.43/67.76 | GROUND_INST: instantiating (184) with all_1414_0, all_1441_0,
% 299.43/67.76 | tc_RealDef_Oreal, simplifying with (465), (472) gives:
% 299.43/67.76 | (931) all_1441_0 = all_1414_0
% 299.43/67.76 |
% 299.43/67.76 | GROUND_INST: instantiating (184) with all_1441_0, all_1450_0,
% 299.43/67.76 | tc_RealDef_Oreal, simplifying with (472), (476) gives:
% 299.43/67.76 | (932) all_1450_0 = all_1441_0
% 299.43/67.76 |
% 299.43/67.76 | GROUND_INST: instantiating (184) with all_1450_0, all_1460_0,
% 299.43/67.76 | tc_RealDef_Oreal, simplifying with (476), (482) gives:
% 299.43/67.76 | (933) all_1460_0 = all_1450_0
% 299.43/67.76 |
% 299.43/67.76 | GROUND_INST: instantiating (184) with all_1460_0, all_1480_0,
% 299.43/67.76 | tc_RealDef_Oreal, simplifying with (482), (489) gives:
% 299.43/67.76 | (934) all_1480_0 = all_1460_0
% 299.43/67.76 |
% 299.43/67.76 | GROUND_INST: instantiating (184) with all_1480_0, all_1483_0,
% 299.43/67.76 | tc_RealDef_Oreal, simplifying with (489), (492) gives:
% 299.43/67.76 | (935) all_1483_0 = all_1480_0
% 299.43/67.76 |
% 299.43/67.76 | GROUND_INST: instantiating (184) with all_1483_0, all_1493_0,
% 299.43/67.76 | tc_RealDef_Oreal, simplifying with (492), (499) gives:
% 299.43/67.76 | (936) all_1493_0 = all_1483_0
% 299.43/67.76 |
% 299.43/67.76 | GROUND_INST: instantiating (184) with all_1493_0, all_1499_0,
% 299.43/67.76 | tc_RealDef_Oreal, simplifying with (499), (504) gives:
% 299.43/67.76 | (937) all_1499_0 = all_1493_0
% 299.43/67.76 |
% 299.43/67.76 | GROUND_INST: instantiating (184) with all_1499_0, all_1505_9,
% 299.43/67.76 | tc_RealDef_Oreal, simplifying with (504), (514) gives:
% 299.43/67.76 | (938) all_1505_9 = all_1499_0
% 299.43/67.76 |
% 299.43/67.76 | GROUND_INST: instantiating (184) with all_1505_9, all_1525_0,
% 299.43/67.76 | tc_RealDef_Oreal, simplifying with (514), (518) gives:
% 299.43/67.76 | (939) all_1525_0 = all_1505_9
% 299.43/67.76 |
% 299.43/67.76 | GROUND_INST: instantiating (184) with all_1525_0, all_1534_9,
% 299.43/67.76 | tc_RealDef_Oreal, simplifying with (518), (535) gives:
% 299.43/67.76 | (940) all_1534_9 = all_1525_0
% 299.43/67.76 |
% 299.43/67.76 | GROUND_INST: instantiating (184) with all_1534_9, all_1539_2,
% 299.43/67.76 | tc_RealDef_Oreal, simplifying with (535), (541) gives:
% 299.43/67.76 | (941) all_1539_2 = all_1534_9
% 299.43/67.76 |
% 299.43/67.76 | GROUND_INST: instantiating (184) with all_1539_2, all_1542_0,
% 299.43/67.76 | tc_RealDef_Oreal, simplifying with (541), (544) gives:
% 299.43/67.76 | (942) all_1542_0 = all_1539_2
% 299.43/67.76 |
% 299.43/67.76 | GROUND_INST: instantiating (184) with all_1542_0, all_1548_0,
% 299.43/67.76 | tc_RealDef_Oreal, simplifying with (544), (547) gives:
% 299.43/67.76 | (943) all_1548_0 = all_1542_0
% 299.43/67.76 |
% 299.43/67.76 | GROUND_INST: instantiating (184) with all_1551_1, all_1557_0,
% 299.43/67.76 | tc_RealDef_Oreal, simplifying with (550), (555) gives:
% 299.43/67.76 | (944) all_1557_0 = all_1551_1
% 299.43/67.76 |
% 299.43/67.76 | GROUND_INST: instantiating (184) with all_1114_0, all_1557_0,
% 299.43/67.76 | tc_RealDef_Oreal, simplifying with (319), (555) gives:
% 299.43/67.76 | (945) all_1557_0 = all_1114_0
% 299.43/67.76 |
% 299.43/67.76 | GROUND_INST: instantiating (184) with all_1090_0, all_1557_0,
% 299.43/67.76 | tc_RealDef_Oreal, simplifying with (305), (555) gives:
% 299.43/67.76 | (946) all_1557_0 = all_1090_0
% 299.43/67.76 |
% 299.43/67.76 | GROUND_INST: instantiating (184) with all_980_2, all_1557_0, tc_RealDef_Oreal,
% 299.43/67.77 | simplifying with (267), (555) gives:
% 299.43/67.77 | (947) all_1557_0 = all_980_2
% 299.43/67.77 |
% 299.43/67.77 | GROUND_INST: instantiating (184) with all_1548_0, all_1566_11,
% 299.43/67.77 | tc_RealDef_Oreal, simplifying with (547), (569) gives:
% 299.43/67.77 | (948) all_1566_11 = all_1548_0
% 299.43/67.77 |
% 299.43/67.77 | GROUND_INST: instantiating (184) with all_1077_0, all_1566_11,
% 299.43/67.77 | tc_RealDef_Oreal, simplifying with (303), (569) gives:
% 299.43/67.77 | (949) all_1566_11 = all_1077_0
% 299.43/67.77 |
% 299.43/67.77 | GROUND_INST: instantiating (184) with all_1551_1, all_1570_0,
% 299.43/67.77 | tc_RealDef_Oreal, simplifying with (550), (572) gives:
% 299.43/67.77 | (950) all_1570_0 = all_1551_1
% 299.43/67.77 |
% 299.43/67.77 | GROUND_INST: instantiating (184) with all_1570_0, all_1576_0,
% 299.43/67.77 | tc_RealDef_Oreal, simplifying with (572), (577) gives:
% 299.43/67.77 | (951) all_1576_0 = all_1570_0
% 299.43/67.77 |
% 299.43/67.77 | GROUND_INST: instantiating (184) with all_1576_0, all_1584_10,
% 299.43/67.77 | tc_RealDef_Oreal, simplifying with (577), (591) gives:
% 299.43/67.77 | (952) all_1584_10 = all_1576_0
% 299.43/67.77 |
% 299.43/67.77 | GROUND_INST: instantiating (184) with all_1584_10, all_1626_16,
% 299.43/67.77 | tc_RealDef_Oreal, simplifying with (591), (620) gives:
% 299.43/67.77 | (953) all_1626_16 = all_1584_10
% 299.43/67.77 |
% 299.43/67.77 | GROUND_INST: instantiating (184) with all_1023_0, all_1626_16,
% 299.43/67.77 | tc_RealDef_Oreal, simplifying with (289), (620) gives:
% 299.43/67.77 | (954) all_1626_16 = all_1023_0
% 299.43/67.77 |
% 299.43/67.77 | GROUND_INST: instantiating (184) with all_1190_5, all_1293_6,
% 299.43/67.77 | tc_Complex_Ocomplex, simplifying with (349), (403) gives:
% 299.43/67.77 | (955) all_1293_6 = all_1190_5
% 299.43/67.77 |
% 299.43/67.77 | GROUND_INST: instantiating (184) with all_1406_7, all_1466_5,
% 299.43/67.77 | tc_Complex_Ocomplex, simplifying with (460), (484) gives:
% 299.43/67.77 | (956) all_1466_5 = all_1406_7
% 299.43/67.77 |
% 299.43/67.77 | GROUND_INST: instantiating (184) with all_1293_6, all_1466_5,
% 299.43/67.77 | tc_Complex_Ocomplex, simplifying with (403), (484) gives:
% 299.43/67.77 | (957) all_1466_5 = all_1293_6
% 299.43/67.77 |
% 299.43/67.77 | GROUND_INST: instantiating (184) with all_1009_1, all_1466_5,
% 299.43/67.77 | tc_Complex_Ocomplex, simplifying with (283), (484) gives:
% 299.43/67.77 | (958) all_1466_5 = all_1009_1
% 299.43/67.77 |
% 299.43/67.77 | GROUND_INST: instantiating (184) with all_1466_5, all_1485_5,
% 299.43/67.77 | tc_Complex_Ocomplex, simplifying with (484), (494) gives:
% 299.43/67.77 | (959) all_1485_5 = all_1466_5
% 299.43/67.77 |
% 299.43/67.77 | GROUND_INST: instantiating (184) with all_1190_5, all_1639_23,
% 299.43/67.77 | tc_Complex_Ocomplex, simplifying with (349), (658) gives:
% 299.43/67.77 | (960) all_1639_23 = all_1190_5
% 299.43/67.77 |
% 299.43/67.77 | GROUND_INST: instantiating (184) with all_1018_3, all_1639_23,
% 299.43/67.77 | tc_Complex_Ocomplex, simplifying with (287), (658) gives:
% 299.43/67.77 | (961) all_1639_23 = all_1018_3
% 299.43/67.77 |
% 299.43/67.77 | GROUND_INST: instantiating (184) with all_1631_17, all_1641_8,
% 299.43/67.77 | tc_Complex_Ocomplex, simplifying with (641), (665) gives:
% 299.43/67.77 | (962) all_1641_8 = all_1631_17
% 299.43/67.77 |
% 299.43/67.77 | GROUND_INST: instantiating (184) with all_1600_3, all_1641_8,
% 299.43/67.77 | tc_Complex_Ocomplex, simplifying with (599), (665) gives:
% 299.43/67.77 | (963) all_1641_8 = all_1600_3
% 299.43/67.77 |
% 299.43/67.77 | GROUND_INST: instantiating (184) with all_1398_6, all_1641_8,
% 299.43/67.77 | tc_Complex_Ocomplex, simplifying with (457), (665) gives:
% 299.43/67.77 | (964) all_1641_8 = all_1398_6
% 299.43/67.77 |
% 299.43/67.77 | GROUND_INST: instantiating (184) with all_1600_3, all_1644_25,
% 299.43/67.77 | tc_Complex_Ocomplex, simplifying with (599), (678) gives:
% 299.43/67.77 | (965) all_1644_25 = all_1600_3
% 299.43/67.77 |
% 299.43/67.77 | GROUND_INST: instantiating (184) with all_1600_3, all_1646_26,
% 299.43/67.77 | tc_Complex_Ocomplex, simplifying with (599), (693) gives:
% 299.43/67.77 | (966) all_1646_26 = all_1600_3
% 299.43/67.77 |
% 299.43/67.77 | GROUND_INST: instantiating (184) with all_1491_8, all_1646_26,
% 299.43/67.77 | tc_Complex_Ocomplex, simplifying with (497), (693) gives:
% 299.43/67.77 | (967) all_1646_26 = all_1491_8
% 299.43/67.77 |
% 299.43/67.77 | GROUND_INST: instantiating (184) with all_1485_5, all_1646_26,
% 299.43/67.77 | tc_Complex_Ocomplex, simplifying with (494), (693) gives:
% 299.43/67.77 | (968) all_1646_26 = all_1485_5
% 299.43/67.77 |
% 299.43/67.77 | GROUND_INST: instantiating (184) with all_1644_25, all_1648_26,
% 299.43/67.77 | tc_Complex_Ocomplex, simplifying with (678), (715) gives:
% 299.43/67.77 | (969) all_1648_26 = all_1644_25
% 299.43/67.77 |
% 299.43/67.77 | GROUND_INST: instantiating (184) with all_1648_26, all_1650_28,
% 299.43/67.77 | tc_Complex_Ocomplex, simplifying with (715), (732) gives:
% 299.43/67.77 | (970) all_1650_28 = all_1648_26
% 299.43/67.77 |
% 299.43/67.77 | GROUND_INST: instantiating (184) with all_1589_2, all_1650_28,
% 299.43/67.77 | tc_Complex_Ocomplex, simplifying with (596), (732) gives:
% 299.43/67.77 | (971) all_1650_28 = all_1589_2
% 299.43/67.77 |
% 299.43/67.77 | GROUND_INST: instantiating (188) with all_1646_24, all_1648_24, v_t____,
% 299.43/67.77 | tc_Complex_Ocomplex, simplifying with (694), (717) gives:
% 299.43/67.77 | (972) all_1648_24 = all_1646_24
% 299.43/67.77 |
% 299.43/67.77 | GROUND_INST: instantiating (188) with all_1644_23, all_1648_24, v_t____,
% 299.43/67.77 | tc_Complex_Ocomplex, simplifying with (680), (717) gives:
% 299.43/67.77 | (973) all_1648_24 = all_1644_23
% 299.43/67.77 |
% 299.43/67.77 | GROUND_INST: instantiating (188) with all_1190_4, all_1648_24, v_t____,
% 299.43/67.77 | tc_Complex_Ocomplex, simplifying with (350), (717) gives:
% 299.43/67.77 | (974) all_1648_24 = all_1190_4
% 299.43/67.77 |
% 299.43/67.77 | GROUND_INST: instantiating (188) with all_1644_23, all_1650_26, v_t____,
% 299.43/67.77 | tc_Complex_Ocomplex, simplifying with (680), (734) gives:
% 299.43/67.77 | (975) all_1650_26 = all_1644_23
% 299.43/67.77 |
% 299.43/67.77 | GROUND_INST: instantiating (188) with all_1639_21, all_1650_26, v_t____,
% 299.43/67.77 | tc_Complex_Ocomplex, simplifying with (660), (734) gives:
% 299.43/67.77 | (976) all_1650_26 = all_1639_21
% 299.43/67.77 |
% 299.43/67.77 | GROUND_INST: instantiating (188) with all_1631_15, all_1650_26, v_t____,
% 299.43/67.77 | tc_Complex_Ocomplex, simplifying with (643), (734) gives:
% 299.43/67.77 | (977) all_1650_26 = all_1631_15
% 299.43/67.77 |
% 299.43/67.77 | GROUND_INST: instantiating (189) with all_1353_1, all_1631_7, v_s____,
% 299.43/67.77 | tc_Complex_Ocomplex, simplifying with (436), (644) gives:
% 299.43/67.77 | (978) all_1631_7 = all_1353_1
% 299.43/67.77 |
% 299.43/67.77 | GROUND_INST: instantiating (189) with all_1329_1, all_1631_7, v_s____,
% 299.43/67.77 | tc_Complex_Ocomplex, simplifying with (423), (644) gives:
% 299.43/67.77 | (979) all_1631_7 = all_1329_1
% 299.43/67.77 |
% 299.43/67.77 | GROUND_INST: instantiating (189) with all_1644_16, all_1646_17, v_s____,
% 299.43/67.77 | tc_Complex_Ocomplex, simplifying with (681), (695) gives:
% 299.43/67.77 | (980) all_1646_17 = all_1644_16
% 299.43/67.77 |
% 299.43/67.77 | GROUND_INST: instantiating (189) with all_1132_0, all_1646_17, v_s____,
% 299.43/67.77 | tc_Complex_Ocomplex, simplifying with (328), (695) gives:
% 299.43/67.77 | (981) all_1646_17 = all_1132_0
% 299.43/67.77 |
% 299.43/67.77 | GROUND_INST: instantiating (189) with all_1648_17, all_1650_9, v_s____,
% 299.43/67.77 | tc_Complex_Ocomplex, simplifying with (719), (735) gives:
% 299.43/67.77 | (982) all_1650_9 = all_1648_17
% 299.43/67.77 |
% 299.43/67.77 | GROUND_INST: instantiating (189) with all_1644_16, all_1650_9, v_s____,
% 299.43/67.77 | tc_Complex_Ocomplex, simplifying with (681), (735) gives:
% 299.43/67.77 | (983) all_1650_9 = all_1644_16
% 299.43/67.77 |
% 299.43/67.77 | GROUND_INST: instantiating (189) with all_1639_14, all_1650_9, v_s____,
% 299.43/67.77 | tc_Complex_Ocomplex, simplifying with (661), (735) gives:
% 299.43/67.77 | (984) all_1650_9 = all_1639_14
% 299.43/67.77 |
% 299.43/67.77 | GROUND_INST: instantiating (189) with all_1353_1, all_1650_9, v_s____,
% 299.43/67.77 | tc_Complex_Ocomplex, simplifying with (436), (735) gives:
% 299.43/67.77 | (985) all_1650_9 = all_1353_1
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (821), (822) imply:
% 299.43/67.77 | (986) all_1584_9 = all_1566_9
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (986) implies:
% 299.43/67.77 | (987) all_1584_9 = all_1566_9
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (772), (773) imply:
% 299.43/67.77 | (988) all_1648_10 = all_898_0
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (988) implies:
% 299.43/67.77 | (989) all_1648_10 = all_898_0
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (982), (985) imply:
% 299.43/67.77 | (990) all_1648_17 = all_1353_1
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (982), (984) imply:
% 299.43/67.77 | (991) all_1648_17 = all_1639_14
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (982), (983) imply:
% 299.43/67.77 | (992) all_1648_17 = all_1644_16
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (975), (976) imply:
% 299.43/67.77 | (993) all_1644_23 = all_1639_21
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (993) implies:
% 299.43/67.77 | (994) all_1644_23 = all_1639_21
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (976), (977) imply:
% 299.43/67.77 | (995) all_1639_21 = all_1631_15
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (834), (835) imply:
% 299.43/67.77 | (996) all_1648_25 = all_1600_2
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (996) implies:
% 299.43/67.77 | (997) all_1648_25 = all_1600_2
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (970), (971) imply:
% 299.43/67.77 | (998) all_1648_26 = all_1589_2
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (998) implies:
% 299.43/67.77 | (999) all_1648_26 = all_1589_2
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (819), (820) imply:
% 299.43/67.77 | (1000) all_1639_7 = all_1626_15
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (1000) implies:
% 299.43/67.77 | (1001) all_1639_7 = all_1626_15
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (771), (989) imply:
% 299.43/67.77 | (1002) all_1631_23 = all_898_0
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (1002) implies:
% 299.43/67.77 | (1003) all_1631_23 = all_898_0
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (990), (991) imply:
% 299.43/67.77 | (1004) all_1639_14 = all_1353_1
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (991), (992) imply:
% 299.43/67.77 | (1005) all_1644_16 = all_1639_14
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (1005) implies:
% 299.43/67.77 | (1006) all_1644_16 = all_1639_14
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (972), (974) imply:
% 299.43/67.77 | (1007) all_1646_24 = all_1190_4
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (972), (973) imply:
% 299.43/67.77 | (1008) all_1646_24 = all_1644_23
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (833), (997) imply:
% 299.43/67.77 | (1009) all_1646_25 = all_1600_2
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (1009) implies:
% 299.43/67.77 | (1010) all_1646_25 = all_1600_2
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (969), (999) imply:
% 299.43/67.77 | (1011) all_1644_25 = all_1589_2
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (1011) implies:
% 299.43/67.77 | (1012) all_1644_25 = all_1589_2
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (980), (981) imply:
% 299.43/67.77 | (1013) all_1644_16 = all_1132_0
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (1013) implies:
% 299.43/67.77 | (1014) all_1644_16 = all_1132_0
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (1007), (1008) imply:
% 299.43/67.77 | (1015) all_1644_23 = all_1190_4
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (1015) implies:
% 299.43/67.77 | (1016) all_1644_23 = all_1190_4
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (832), (1010) imply:
% 299.43/67.77 | (1017) all_1644_24 = all_1600_2
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (1017) implies:
% 299.43/67.77 | (1018) all_1644_24 = all_1600_2
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (966), (967) imply:
% 299.43/67.77 | (1019) all_1600_3 = all_1491_8
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (1019) implies:
% 299.43/67.77 | (1020) all_1600_3 = all_1491_8
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (967), (968) imply:
% 299.43/67.77 | (1021) all_1491_8 = all_1485_5
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (815), (817) imply:
% 299.43/67.77 | (1022) all_1631_22 = all_1539_0
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (815), (818) imply:
% 299.43/67.77 | (1023) all_1631_22 = all_1534_8
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (815), (816) imply:
% 299.43/67.77 | (1024) all_1631_22 = all_1584_9
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (768), (769) imply:
% 299.43/67.77 | (1025) all_1539_1 = all_1438_0
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (1025) implies:
% 299.43/67.77 | (1026) all_1539_1 = all_1438_0
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (769), (770) imply:
% 299.43/67.77 | (1027) all_1438_0 = all_1423_0
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (1006), (1014) imply:
% 299.43/67.77 | (1028) all_1639_14 = all_1132_0
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (1028) implies:
% 299.43/67.77 | (1029) all_1639_14 = all_1132_0
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (994), (1016) imply:
% 299.43/67.77 | (1030) all_1639_21 = all_1190_4
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (1030) implies:
% 299.43/67.77 | (1031) all_1639_21 = all_1190_4
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (831), (1018) imply:
% 299.43/67.77 | (1032) all_1641_7 = all_1600_2
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (1032) implies:
% 299.43/67.77 | (1033) all_1641_7 = all_1600_2
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (965), (1012) imply:
% 299.43/67.77 | (1034) all_1600_3 = all_1589_2
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (1034) implies:
% 299.43/67.77 | (1035) all_1600_3 = all_1589_2
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (830), (1033) imply:
% 299.43/67.77 | (1036) all_1639_22 = all_1600_2
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (1036) implies:
% 299.43/67.77 | (1037) all_1639_22 = all_1600_2
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (962), (964) imply:
% 299.43/67.77 | (1038) all_1631_17 = all_1398_6
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (962), (963) imply:
% 299.43/67.77 | (1039) all_1631_17 = all_1600_3
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (803), (804) imply:
% 299.43/67.77 | (1040) all_1584_6 = all_972_0
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (1040) implies:
% 299.43/67.77 | (1041) all_1584_6 = all_972_0
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (814), (1001) imply:
% 299.43/67.77 | (1042) all_1626_15 = all_1007_2
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (813), (1001) imply:
% 299.43/67.77 | (1043) all_1626_15 = all_1584_9
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (766), (767) imply:
% 299.43/67.77 | (1044) all_980_1 = all_978_3
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (765), (766) imply:
% 299.43/67.77 | (1045) all_1147_0 = all_980_1
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (1045) implies:
% 299.43/67.77 | (1046) all_1147_0 = all_980_1
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (1004), (1029) imply:
% 299.43/67.77 | (1047) all_1353_1 = all_1132_0
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (1047) implies:
% 299.43/67.77 | (1048) all_1353_1 = all_1132_0
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (995), (1031) imply:
% 299.43/67.77 | (1049) all_1631_15 = all_1190_4
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (1049) implies:
% 299.43/67.77 | (1050) all_1631_15 = all_1190_4
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (829), (1037) imply:
% 299.43/67.77 | (1051) all_1631_16 = all_1600_2
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (1051) implies:
% 299.43/67.77 | (1052) all_1631_16 = all_1600_2
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (960), (961) imply:
% 299.43/67.77 | (1053) all_1190_5 = all_1018_3
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (1053) implies:
% 299.43/67.77 | (1054) all_1190_5 = all_1018_3
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (978), (979) imply:
% 299.43/67.77 | (1055) all_1353_1 = all_1329_1
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (1055) implies:
% 299.43/67.77 | (1056) all_1353_1 = all_1329_1
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (827), (1052) imply:
% 299.43/67.77 | (1057) all_1600_2 = all_1491_7
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (828), (1052) imply:
% 299.43/67.77 | (1058) all_1600_2 = all_1293_5
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (1038), (1039) imply:
% 299.43/67.77 | (1059) all_1600_3 = all_1398_6
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (1059) implies:
% 299.43/67.77 | (1060) all_1600_3 = all_1398_6
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (1022), (1023) imply:
% 299.43/67.77 | (1061) all_1539_0 = all_1534_8
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (1022), (1024) imply:
% 299.43/67.77 | (1062) all_1584_9 = all_1539_0
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (1062) implies:
% 299.43/67.77 | (1063) all_1584_9 = all_1539_0
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (764), (1003) imply:
% 299.43/67.77 | (1064) all_1626_1 = all_898_0
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (1064) implies:
% 299.43/67.77 | (1065) all_1626_1 = all_898_0
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (761), (763) imply:
% 299.43/67.77 | (1066) all_1321_0 = all_1093_0
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (761), (762) imply:
% 299.43/67.77 | (1067) all_1321_0 = all_1272_1
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (760), (1065) imply:
% 299.43/67.77 | (1068) all_1584_11 = all_898_0
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (1068) implies:
% 299.43/67.77 | (1069) all_1584_11 = all_898_0
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (801), (802) imply:
% 299.43/67.77 | (1070) all_1554_0 = all_1377_1
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (1070) implies:
% 299.43/67.77 | (1071) all_1554_0 = all_1377_1
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (916), (917) imply:
% 299.43/67.77 | (1072) all_1584_8 = all_1353_2
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (1072) implies:
% 299.43/67.77 | (1073) all_1584_8 = all_1353_2
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (1042), (1043) imply:
% 299.43/67.77 | (1074) all_1584_9 = all_1007_2
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (1074) implies:
% 299.43/67.77 | (1075) all_1584_9 = all_1007_2
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (953), (954) imply:
% 299.43/67.77 | (1076) all_1584_10 = all_1023_0
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (1076) implies:
% 299.43/67.77 | (1077) all_1584_10 = all_1023_0
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (1057), (1058) imply:
% 299.43/67.77 | (1078) all_1491_7 = all_1293_5
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (1078) implies:
% 299.43/67.77 | (1079) all_1491_7 = all_1293_5
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (1035), (1060) imply:
% 299.43/67.77 | (1080) all_1589_2 = all_1398_6
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (1020), (1035) imply:
% 299.43/67.77 | (1081) all_1589_2 = all_1491_8
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (757), (758) imply:
% 299.43/67.77 | (1082) all_927_0 = all_848_0
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (1082) implies:
% 299.43/67.77 | (1083) all_927_0 = all_848_0
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (758), (759) imply:
% 299.43/67.77 | (1084) all_848_0 = all_828_1
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (825), (826) imply:
% 299.43/67.77 | (1085) all_1406_6 = all_1288_1
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (1085) implies:
% 299.43/67.77 | (1086) all_1406_6 = all_1288_1
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (1080), (1081) imply:
% 299.43/67.77 | (1087) all_1491_8 = all_1398_6
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (1087) implies:
% 299.43/67.77 | (1088) all_1491_8 = all_1398_6
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (800), (1041) imply:
% 299.43/67.77 | (1089) all_986_1 = all_972_0
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (1089) implies:
% 299.43/67.77 | (1090) all_986_1 = all_972_0
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (799), (1041) imply:
% 299.43/67.77 | (1091) all_1444_0 = all_972_0
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (1091) implies:
% 299.43/67.77 | (1092) all_1444_0 = all_972_0
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (915), (1073) imply:
% 299.43/67.77 | (1093) all_1566_8 = all_1353_2
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (1093) implies:
% 299.43/67.77 | (1094) all_1566_8 = all_1353_2
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (987), (1075) imply:
% 299.43/67.77 | (1095) all_1566_9 = all_1007_2
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (987), (1063) imply:
% 299.43/67.77 | (1096) all_1566_9 = all_1539_0
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (952), (1077) imply:
% 299.43/67.77 | (1097) all_1576_0 = all_1023_0
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (1097) implies:
% 299.43/67.77 | (1098) all_1576_0 = all_1023_0
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (756), (1069) imply:
% 299.43/67.77 | (1099) all_1579_1 = all_898_0
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (1099) implies:
% 299.43/67.77 | (1100) all_1579_1 = all_898_0
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (907), (908) imply:
% 299.43/67.77 | (1101) all_1551_0 = all_1326_0
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (1101) implies:
% 299.43/67.77 | (1102) all_1551_0 = all_1326_0
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (755), (1100) imply:
% 299.43/67.77 | (1103) all_1573_0 = all_898_0
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (1103) implies:
% 299.43/67.77 | (1104) all_1573_0 = all_898_0
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (951), (1098) imply:
% 299.43/67.77 | (1105) all_1570_0 = all_1023_0
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (1105) implies:
% 299.43/67.77 | (1106) all_1570_0 = all_1023_0
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (903), (904) imply:
% 299.43/67.77 | (1107) all_1161_0 = all_1141_0
% 299.43/67.77 |
% 299.43/67.77 | SIMP: (1107) implies:
% 299.43/67.77 | (1108) all_1161_0 = all_1141_0
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (904), (906) imply:
% 299.43/67.77 | (1109) all_1141_0 = all_989_0
% 299.43/67.77 |
% 299.43/67.77 | COMBINE_EQS: (904), (905) imply:
% 299.43/67.78 | (1110) all_1141_0 = all_1029_1
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (754), (1104) imply:
% 299.43/67.78 | (1111) all_1566_0 = all_898_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1111) implies:
% 299.43/67.78 | (1112) all_1566_0 = all_898_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (950), (1106) imply:
% 299.43/67.78 | (1113) all_1551_1 = all_1023_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1113) implies:
% 299.43/67.78 | (1114) all_1551_1 = all_1023_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (901), (902) imply:
% 299.43/67.78 | (1115) all_1557_1 = all_737_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1115) implies:
% 299.43/67.78 | (1116) all_1557_1 = all_737_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (753), (1112) imply:
% 299.43/67.78 | (1117) all_1539_1 = all_898_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1117) implies:
% 299.43/67.78 | (1118) all_1539_1 = all_898_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (796), (798) imply:
% 299.43/67.78 | (1119) all_1534_5 = all_908_1
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (796), (797) imply:
% 299.43/67.78 | (1120) all_1534_5 = all_1505_5
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (914), (1094) imply:
% 299.43/67.78 | (1121) all_1534_7 = all_1353_2
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1121) implies:
% 299.43/67.78 | (1122) all_1534_7 = all_1353_2
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (1095), (1096) imply:
% 299.43/67.78 | (1123) all_1539_0 = all_1007_2
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1123) implies:
% 299.43/67.78 | (1124) all_1539_0 = all_1007_2
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (948), (949) imply:
% 299.43/67.78 | (1125) all_1548_0 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1125) implies:
% 299.43/67.78 | (1126) all_1548_0 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (945), (946) imply:
% 299.43/67.78 | (1127) all_1114_0 = all_1090_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1127) implies:
% 299.43/67.78 | (1128) all_1114_0 = all_1090_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (944), (946) imply:
% 299.43/67.78 | (1129) all_1551_1 = all_1090_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1129) implies:
% 299.43/67.78 | (1130) all_1551_1 = all_1090_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (946), (947) imply:
% 299.43/67.78 | (1131) all_1090_0 = all_980_2
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (900), (1116) imply:
% 299.43/67.78 | (1132) all_1350_0 = all_737_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1132) implies:
% 299.43/67.78 | (1133) all_1350_0 = all_737_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (795), (1071) imply:
% 299.43/67.78 | (1134) all_1531_1 = all_1377_1
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1134) implies:
% 299.43/67.78 | (1135) all_1531_1 = all_1377_1
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (899), (1102) imply:
% 299.43/67.78 | (1136) all_1326_0 = all_1123_2
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (898), (1102) imply:
% 299.43/67.78 | (1137) all_1365_0 = all_1326_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1137) implies:
% 299.43/67.78 | (1138) all_1365_0 = all_1326_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (1114), (1130) imply:
% 299.43/67.78 | (1139) all_1090_0 = all_1023_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1139) implies:
% 299.43/67.78 | (1140) all_1090_0 = all_1023_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (943), (1126) imply:
% 299.43/67.78 | (1141) all_1542_0 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1141) implies:
% 299.43/67.78 | (1142) all_1542_0 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (896), (897) imply:
% 299.43/67.78 | (1143) all_1441_1 = all_966_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1143) implies:
% 299.43/67.78 | (1144) all_1441_1 = all_966_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (942), (1142) imply:
% 299.43/67.78 | (1145) all_1539_2 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1145) implies:
% 299.43/67.78 | (1146) all_1539_2 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (894), (895) imply:
% 299.43/67.78 | (1147) all_1528_0 = all_1525_1
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1147) implies:
% 299.43/67.78 | (1148) all_1528_0 = all_1525_1
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (1061), (1124) imply:
% 299.43/67.78 | (1149) all_1534_8 = all_1007_2
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1149) implies:
% 299.43/67.78 | (1150) all_1534_8 = all_1007_2
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (1026), (1118) imply:
% 299.43/67.78 | (1151) all_1438_0 = all_898_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1151) implies:
% 299.43/67.78 | (1152) all_1438_0 = all_898_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (941), (1146) imply:
% 299.43/67.78 | (1153) all_1534_9 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1153) implies:
% 299.43/67.78 | (1154) all_1534_9 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (892), (893) imply:
% 299.43/67.78 | (1155) all_1483_1 = all_960_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1155) implies:
% 299.43/67.78 | (1156) all_1483_1 = all_960_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (1119), (1120) imply:
% 299.43/67.78 | (1157) all_1505_5 = all_908_1
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1157) implies:
% 299.43/67.78 | (1158) all_1505_5 = all_908_1
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (913), (1122) imply:
% 299.43/67.78 | (1159) all_1505_7 = all_1353_2
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1159) implies:
% 299.43/67.78 | (1160) all_1505_7 = all_1353_2
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (812), (1150) imply:
% 299.43/67.78 | (1161) all_1505_8 = all_1007_2
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1161) implies:
% 299.43/67.78 | (1162) all_1505_8 = all_1007_2
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (940), (1154) imply:
% 299.43/67.78 | (1163) all_1525_0 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1163) implies:
% 299.43/67.78 | (1164) all_1525_0 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (886), (888) imply:
% 299.43/67.78 | (1165) all_1341_0 = all_1272_2
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (886), (890) imply:
% 299.43/67.78 | (1166) all_1341_0 = all_1248_2
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (886), (889) imply:
% 299.43/67.78 | (1167) all_1341_0 = all_1254_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (886), (887) imply:
% 299.43/67.78 | (1168) all_1341_0 = all_1285_1
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (886), (891) imply:
% 299.43/67.78 | (1169) all_1341_0 = all_1167_1
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (794), (1135) imply:
% 299.43/67.78 | (1170) all_1377_1 = all_891_2
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (793), (1135) imply:
% 299.43/67.78 | (1171) all_1377_1 = all_1324_6
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (885), (1148) imply:
% 299.43/67.78 | (1172) all_1525_1 = all_825_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (884), (1148) imply:
% 299.43/67.78 | (1173) all_1525_1 = all_913_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (939), (1164) imply:
% 299.43/67.78 | (1174) all_1505_9 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1174) implies:
% 299.43/67.78 | (1175) all_1505_9 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (1172), (1173) imply:
% 299.43/67.78 | (1176) all_913_0 = all_825_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1176) implies:
% 299.43/67.78 | (1177) all_913_0 = all_825_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (792), (1158) imply:
% 299.43/67.78 | (1178) all_1496_0 = all_908_1
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1178) implies:
% 299.43/67.78 | (1179) all_1496_0 = all_908_1
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (911), (1160) imply:
% 299.43/67.78 | (1180) all_1353_2 = all_1329_2
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (912), (1160) imply:
% 299.43/67.78 | (1181) all_1353_2 = all_1291_4
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (811), (1162) imply:
% 299.43/67.78 | (1182) all_1455_1 = all_1007_2
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1182) implies:
% 299.43/67.78 | (1183) all_1455_1 = all_1007_2
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (938), (1175) imply:
% 299.43/67.78 | (1184) all_1499_0 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1184) implies:
% 299.43/67.78 | (1185) all_1499_0 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (937), (1185) imply:
% 299.43/67.78 | (1186) all_1493_0 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1186) implies:
% 299.43/67.78 | (1187) all_1493_0 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (882), (883) imply:
% 299.43/67.78 | (1188) all_792_0 = all_747_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1188) implies:
% 299.43/67.78 | (1189) all_792_0 = all_747_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (790), (791) imply:
% 299.43/67.78 | (1190) all_1458_6 = all_1380_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (790), (1179) imply:
% 299.43/67.78 | (1191) all_1458_6 = all_908_1
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (936), (1187) imply:
% 299.43/67.78 | (1192) all_1483_0 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1192) implies:
% 299.43/67.78 | (1193) all_1483_0 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (824), (1079) imply:
% 299.43/67.78 | (1194) all_1398_5 = all_1293_5
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1194) implies:
% 299.43/67.78 | (1195) all_1398_5 = all_1293_5
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (1021), (1088) imply:
% 299.43/67.78 | (1196) all_1485_5 = all_1398_6
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1196) implies:
% 299.43/67.78 | (1197) all_1485_5 = all_1398_6
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (959), (1197) imply:
% 299.43/67.78 | (1198) all_1466_5 = all_1398_6
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1198) implies:
% 299.43/67.78 | (1199) all_1466_5 = all_1398_6
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (935), (1193) imply:
% 299.43/67.78 | (1200) all_1480_0 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1200) implies:
% 299.43/67.78 | (1201) all_1480_0 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (881), (1156) imply:
% 299.43/67.78 | (1202) all_1365_0 = all_960_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1202) implies:
% 299.43/67.78 | (1203) all_1365_0 = all_960_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (934), (1201) imply:
% 299.43/67.78 | (1204) all_1460_0 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1204) implies:
% 299.43/67.78 | (1205) all_1460_0 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (878), (879) imply:
% 299.43/67.78 | (1206) all_1414_1 = all_1254_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (878), (880) imply:
% 299.43/67.78 | (1207) all_1414_1 = all_1233_1
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (956), (958) imply:
% 299.43/67.78 | (1208) all_1406_7 = all_1009_1
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (956), (957) imply:
% 299.43/67.78 | (1209) all_1406_7 = all_1293_6
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (956), (1199) imply:
% 299.43/67.78 | (1210) all_1406_7 = all_1398_6
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (933), (1205) imply:
% 299.43/67.78 | (1211) all_1450_0 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1211) implies:
% 299.43/67.78 | (1212) all_1450_0 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (1190), (1191) imply:
% 299.43/67.78 | (1213) all_1380_0 = all_908_1
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1213) implies:
% 299.43/67.78 | (1214) all_1380_0 = all_908_1
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (810), (1183) imply:
% 299.43/67.78 | (1215) all_1408_0 = all_1007_2
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1215) implies:
% 299.43/67.78 | (1216) all_1408_0 = all_1007_2
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (932), (1212) imply:
% 299.43/67.78 | (1217) all_1441_0 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1217) implies:
% 299.43/67.78 | (1218) all_1441_0 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (789), (1092) imply:
% 299.43/67.78 | (1219) all_972_0 = all_963_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1219) implies:
% 299.43/67.78 | (1220) all_972_0 = all_963_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (788), (789) imply:
% 299.43/67.78 | (1221) all_1285_0 = all_963_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1221) implies:
% 299.43/67.78 | (1222) all_1285_0 = all_963_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (931), (1218) imply:
% 299.43/67.78 | (1223) all_1414_0 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1223) implies:
% 299.43/67.78 | (1224) all_1414_0 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (877), (1144) imply:
% 299.43/67.78 | (1225) all_1043_1 = all_966_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1225) implies:
% 299.43/67.78 | (1226) all_1043_1 = all_966_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (1027), (1152) imply:
% 299.43/67.78 | (1227) all_1423_0 = all_898_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1227) implies:
% 299.43/67.78 | (1228) all_1423_0 = all_898_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (752), (1228) imply:
% 299.43/67.78 | (1229) all_1304_1 = all_898_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1229) implies:
% 299.43/67.78 | (1230) all_1304_1 = all_898_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (930), (1224) imply:
% 299.43/67.78 | (1231) all_1383_0 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1231) implies:
% 299.43/67.78 | (1232) all_1383_0 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (1206), (1207) imply:
% 299.43/67.78 | (1233) all_1254_0 = all_1233_1
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1233) implies:
% 299.43/67.78 | (1234) all_1254_0 = all_1233_1
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (809), (1216) imply:
% 299.43/67.78 | (1235) all_1389_0 = all_1007_2
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1235) implies:
% 299.43/67.78 | (1236) all_1389_0 = all_1007_2
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (823), (1086) imply:
% 299.43/67.78 | (1237) all_1398_5 = all_1288_1
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1237) implies:
% 299.43/67.78 | (1238) all_1398_5 = all_1288_1
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (1208), (1210) imply:
% 299.43/67.78 | (1239) all_1398_6 = all_1009_1
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (1209), (1210) imply:
% 299.43/67.78 | (1240) all_1398_6 = all_1293_6
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (1195), (1238) imply:
% 299.43/67.78 | (1241) all_1293_5 = all_1288_1
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1241) implies:
% 299.43/67.78 | (1242) all_1293_5 = all_1288_1
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (1239), (1240) imply:
% 299.43/67.78 | (1243) all_1293_6 = all_1009_1
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1243) implies:
% 299.43/67.78 | (1244) all_1293_6 = all_1009_1
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (807), (808) imply:
% 299.43/67.78 | (1245) all_1318_0 = all_1288_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1245) implies:
% 299.43/67.78 | (1246) all_1318_0 = all_1288_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (806), (1236) imply:
% 299.43/67.78 | (1247) all_1315_1 = all_1007_2
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1247) implies:
% 299.43/67.78 | (1248) all_1315_1 = all_1007_2
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (929), (1232) imply:
% 299.43/67.78 | (1249) all_1374_0 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1249) implies:
% 299.43/67.78 | (1250) all_1374_0 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (787), (1214) imply:
% 299.43/67.78 | (1251) all_1285_0 = all_908_1
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1251) implies:
% 299.43/67.78 | (1252) all_1285_0 = all_908_1
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (1170), (1171) imply:
% 299.43/67.78 | (1253) all_1324_6 = all_891_2
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1253) implies:
% 299.43/67.78 | (1254) all_1324_6 = all_891_2
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (928), (1250) imply:
% 299.43/67.78 | (1255) all_1371_0 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1255) implies:
% 299.43/67.78 | (1256) all_1371_0 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (927), (1256) imply:
% 299.43/67.78 | (1257) all_1347_0 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1257) implies:
% 299.43/67.78 | (1258) all_1347_0 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (876), (1203) imply:
% 299.43/67.78 | (1259) all_1329_3 = all_960_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (876), (1138) imply:
% 299.43/67.78 | (1260) all_1329_3 = all_1326_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (874), (875) imply:
% 299.43/67.78 | (1261) all_1204_0 = all_745_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1261) implies:
% 299.43/67.78 | (1262) all_1204_0 = all_745_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (1048), (1056) imply:
% 299.43/67.78 | (1263) all_1329_1 = all_1132_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (1180), (1181) imply:
% 299.43/67.78 | (1264) all_1329_2 = all_1291_4
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1264) implies:
% 299.43/67.78 | (1265) all_1329_2 = all_1291_4
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (871), (872) imply:
% 299.43/67.78 | (1266) all_1347_1 = all_1272_2
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (871), (873) imply:
% 299.43/67.78 | (1267) all_1347_1 = all_1212_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (870), (1133) imply:
% 299.43/67.78 | (1268) all_1321_1 = all_737_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1268) implies:
% 299.43/67.78 | (1269) all_1321_1 = all_737_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (926), (1258) imply:
% 299.43/67.78 | (1270) all_1295_0 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1270) implies:
% 299.43/67.78 | (1271) all_1295_0 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (1266), (1267) imply:
% 299.43/67.78 | (1272) all_1272_2 = all_1212_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1272) implies:
% 299.43/67.78 | (1273) all_1272_2 = all_1212_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (1168), (1169) imply:
% 299.43/67.78 | (1274) all_1285_1 = all_1167_1
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (1166), (1168) imply:
% 299.43/67.78 | (1275) all_1285_1 = all_1248_2
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (1165), (1168) imply:
% 299.43/67.78 | (1276) all_1285_1 = all_1272_2
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (1167), (1168) imply:
% 299.43/67.78 | (1277) all_1285_1 = all_1254_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (868), (869) imply:
% 299.43/67.78 | (1278) all_1239_1 = all_1227_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1278) implies:
% 299.43/67.78 | (1279) all_1239_1 = all_1227_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (910), (1265) imply:
% 299.43/67.78 | (1280) all_1291_4 = all_1132_1
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (909), (1265) imply:
% 299.43/67.78 | (1281) all_1291_4 = all_1190_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (1259), (1260) imply:
% 299.43/67.78 | (1282) all_1326_0 = all_960_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1282) implies:
% 299.43/67.78 | (1283) all_1326_0 = all_960_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (1136), (1283) imply:
% 299.43/67.78 | (1284) all_1123_2 = all_960_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1284) implies:
% 299.43/67.78 | (1285) all_1123_2 = all_960_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (786), (1254) imply:
% 299.43/67.78 | (1286) all_1272_0 = all_891_2
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1286) implies:
% 299.43/67.78 | (1287) all_1272_0 = all_891_2
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (1066), (1067) imply:
% 299.43/67.78 | (1288) all_1272_1 = all_1093_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1288) implies:
% 299.43/67.78 | (1289) all_1272_1 = all_1093_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (867), (1269) imply:
% 299.43/67.78 | (1290) all_1201_1 = all_737_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1290) implies:
% 299.43/67.78 | (1291) all_1201_1 = all_737_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (805), (1246) imply:
% 299.43/67.78 | (1292) all_1315_1 = all_1288_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1292) implies:
% 299.43/67.78 | (1293) all_1315_1 = all_1288_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (1248), (1293) imply:
% 299.43/67.78 | (1294) all_1288_0 = all_1007_2
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1294) implies:
% 299.43/67.78 | (1295) all_1288_0 = all_1007_2
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (781), (784) imply:
% 299.43/67.78 | (1296) all_1248_0 = all_1147_1
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (781), (783) imply:
% 299.43/67.78 | (1297) all_1248_0 = all_1158_1
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (781), (785) imply:
% 299.43/67.78 | (1298) all_1248_0 = all_1105_1
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (781), (782) imply:
% 299.43/67.78 | (1299) all_1248_0 = all_1199_5
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (751), (1230) imply:
% 299.43/67.78 | (1300) all_1291_2 = all_898_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1300) implies:
% 299.43/67.78 | (1301) all_1291_2 = all_898_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (925), (1271) imply:
% 299.43/67.78 | (1302) all_1291_6 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1302) implies:
% 299.43/67.78 | (1303) all_1291_6 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (955), (1244) imply:
% 299.43/67.78 | (1304) all_1190_5 = all_1009_1
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1304) implies:
% 299.43/67.78 | (1305) all_1190_5 = all_1009_1
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (750), (1301) imply:
% 299.43/67.78 | (1306) all_1123_0 = all_898_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1306) implies:
% 299.43/67.78 | (1307) all_1123_0 = all_898_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (1280), (1281) imply:
% 299.43/67.78 | (1308) all_1190_0 = all_1132_1
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1308) implies:
% 299.43/67.78 | (1309) all_1190_0 = all_1132_1
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (924), (1303) imply:
% 299.43/67.78 | (1310) all_1282_0 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1310) implies:
% 299.43/67.78 | (1311) all_1282_0 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (777), (780) imply:
% 299.43/67.78 | (1312) all_1207_4 = all_808_1
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (777), (778) imply:
% 299.43/67.78 | (1313) all_1207_4 = all_878_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (777), (1222) imply:
% 299.43/67.78 | (1314) all_1207_4 = all_963_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (777), (779) imply:
% 299.43/67.78 | (1315) all_1207_4 = all_828_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (777), (1252) imply:
% 299.43/67.78 | (1316) all_1207_4 = all_908_1
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (1275), (1276) imply:
% 299.43/67.78 | (1317) all_1272_2 = all_1248_2
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1317) implies:
% 299.43/67.78 | (1318) all_1272_2 = all_1248_2
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (1275), (1277) imply:
% 299.43/67.78 | (1319) all_1254_0 = all_1248_2
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1319) implies:
% 299.43/67.78 | (1320) all_1254_0 = all_1248_2
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (1274), (1275) imply:
% 299.43/67.78 | (1321) all_1248_2 = all_1167_1
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (923), (1311) imply:
% 299.43/67.78 | (1322) all_1239_0 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1322) implies:
% 299.43/67.78 | (1323) all_1239_0 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (776), (1287) imply:
% 299.43/67.78 | (1324) all_1199_5 = all_891_2
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1324) implies:
% 299.43/67.78 | (1325) all_1199_5 = all_891_2
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (749), (1289) imply:
% 299.43/67.78 | (1326) all_1248_1 = all_1093_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1326) implies:
% 299.43/67.78 | (1327) all_1248_1 = all_1093_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (1273), (1318) imply:
% 299.43/67.78 | (1328) all_1248_2 = all_1212_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1328) implies:
% 299.43/67.78 | (1329) all_1248_2 = all_1212_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (1234), (1320) imply:
% 299.43/67.78 | (1330) all_1248_2 = all_1233_1
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1330) implies:
% 299.43/67.78 | (1331) all_1248_2 = all_1233_1
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (866), (1234) imply:
% 299.43/67.78 | (1332) all_1233_1 = all_1077_1
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (1297), (1299) imply:
% 299.43/67.78 | (1333) all_1199_5 = all_1158_1
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1333) implies:
% 299.43/67.78 | (1334) all_1199_5 = all_1158_1
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (1297), (1298) imply:
% 299.43/67.78 | (1335) all_1158_1 = all_1105_1
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (1296), (1297) imply:
% 299.43/67.78 | (1336) all_1158_1 = all_1147_1
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (748), (1327) imply:
% 299.43/67.78 | (1337) all_1201_0 = all_1093_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1337) implies:
% 299.43/67.78 | (1338) all_1201_0 = all_1093_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (1329), (1331) imply:
% 299.43/67.78 | (1339) all_1233_1 = all_1212_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1339) implies:
% 299.43/67.78 | (1340) all_1233_1 = all_1212_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (1321), (1329) imply:
% 299.43/67.78 | (1341) all_1212_0 = all_1167_1
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (864), (865) imply:
% 299.43/67.78 | (1342) all_1161_0 = all_1071_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1342) implies:
% 299.43/67.78 | (1343) all_1161_0 = all_1071_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (922), (1323) imply:
% 299.43/67.78 | (1344) all_1233_0 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | SIMP: (1344) implies:
% 299.43/67.78 | (1345) all_1233_0 = all_1077_0
% 299.43/67.78 |
% 299.43/67.78 | COMBINE_EQS: (863), (1279) imply:
% 299.43/67.78 | (1346) all_1227_0 = all_942_0
% 299.43/67.78 |
% 299.43/67.79 | COMBINE_EQS: (862), (1279) imply:
% 299.43/67.79 | (1347) all_1227_0 = all_1111_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (861), (1279) imply:
% 299.43/67.79 | (1348) all_1227_0 = all_1192_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (921), (1345) imply:
% 299.43/67.79 | (1349) all_1167_0 = all_1077_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1349) implies:
% 299.43/67.79 | (1350) all_1167_0 = all_1077_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1332), (1340) imply:
% 299.43/67.79 | (1351) all_1212_0 = all_1077_1
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1351) implies:
% 299.43/67.79 | (1352) all_1212_0 = all_1077_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1347), (1348) imply:
% 299.43/67.79 | (1353) all_1192_0 = all_1111_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1346), (1348) imply:
% 299.43/67.79 | (1354) all_1192_0 = all_942_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1341), (1352) imply:
% 299.43/67.79 | (1355) all_1167_1 = all_1077_1
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1355) implies:
% 299.43/67.79 | (1356) all_1167_1 = all_1077_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1312), (1316) imply:
% 299.43/67.79 | (1357) all_908_1 = all_808_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1314), (1316) imply:
% 299.43/67.79 | (1358) all_963_0 = all_908_1
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1358) implies:
% 299.43/67.79 | (1359) all_963_0 = all_908_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1313), (1316) imply:
% 299.43/67.79 | (1360) all_908_1 = all_878_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1315), (1316) imply:
% 299.43/67.79 | (1361) all_908_1 = all_828_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (860), (1262) imply:
% 299.43/67.79 | (1362) all_1155_1 = all_745_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1362) implies:
% 299.43/67.79 | (1363) all_1155_1 = all_745_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (746), (1338) imply:
% 299.43/67.79 | (1364) all_1093_0 = all_1029_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (747), (1338) imply:
% 299.43/67.79 | (1365) all_1093_0 = all_808_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (859), (1291) imply:
% 299.43/67.79 | (1366) all_1161_0 = all_737_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1366) implies:
% 299.43/67.79 | (1367) all_1161_0 = all_737_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1325), (1334) imply:
% 299.43/67.79 | (1368) all_1158_1 = all_891_2
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1368) implies:
% 299.43/67.79 | (1369) all_1158_1 = all_891_2
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1353), (1354) imply:
% 299.43/67.79 | (1370) all_1111_0 = all_942_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1370) implies:
% 299.43/67.79 | (1371) all_1111_0 = all_942_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1054), (1305) imply:
% 299.43/67.79 | (1372) all_1018_3 = all_1009_1
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1372) implies:
% 299.43/67.79 | (1373) all_1018_3 = all_1009_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (920), (1350) imply:
% 299.43/67.79 | (1374) all_1155_0 = all_1077_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1374) implies:
% 299.43/67.79 | (1375) all_1155_0 = all_1077_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (858), (1356) imply:
% 299.43/67.79 | (1376) all_1114_1 = all_1077_1
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1376) implies:
% 299.43/67.79 | (1377) all_1114_1 = all_1077_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1108), (1343) imply:
% 299.43/67.79 | (1378) all_1141_0 = all_1071_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1378) implies:
% 299.43/67.79 | (1379) all_1141_0 = all_1071_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1343), (1367) imply:
% 299.43/67.79 | (1380) all_1071_0 = all_737_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1335), (1336) imply:
% 299.43/67.79 | (1381) all_1147_1 = all_1105_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1336), (1369) imply:
% 299.43/67.79 | (1382) all_1147_1 = all_891_2
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (919), (1375) imply:
% 299.43/67.79 | (1383) all_1123_1 = all_1077_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1383) implies:
% 299.43/67.79 | (1384) all_1123_1 = all_1077_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (856), (1363) imply:
% 299.43/67.79 | (1385) all_1120_1 = all_745_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (856), (857) imply:
% 299.43/67.79 | (1386) all_1120_1 = all_1074_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (744), (745) imply:
% 299.43/67.79 | (1387) all_1029_0 = all_1012_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1387) implies:
% 299.43/67.79 | (1388) all_1029_0 = all_1012_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (745), (1046) imply:
% 299.43/67.79 | (1389) all_1012_0 = all_980_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1381), (1382) imply:
% 299.43/67.79 | (1390) all_1105_1 = all_891_2
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1390) implies:
% 299.43/67.79 | (1391) all_1105_1 = all_891_2
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1110), (1379) imply:
% 299.43/67.79 | (1392) all_1071_0 = all_1029_1
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1392) implies:
% 299.43/67.79 | (1393) all_1071_0 = all_1029_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1109), (1110) imply:
% 299.43/67.79 | (1394) all_1029_1 = all_989_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (743), (1307) imply:
% 299.43/67.79 | (1395) all_1105_0 = all_898_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1395) implies:
% 299.43/67.79 | (1396) all_1105_0 = all_898_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (918), (1384) imply:
% 299.43/67.79 | (1397) all_1114_0 = all_1077_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1397) implies:
% 299.43/67.79 | (1398) all_1114_0 = all_1077_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (855), (1285) imply:
% 299.43/67.79 | (1399) all_1108_0 = all_960_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1399) implies:
% 299.43/67.79 | (1400) all_1108_0 = all_960_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1385), (1386) imply:
% 299.43/67.79 | (1401) all_1074_0 = all_745_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1401) implies:
% 299.43/67.79 | (1402) all_1074_0 = all_745_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1128), (1398) imply:
% 299.43/67.79 | (1403) all_1090_0 = all_1077_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1403) implies:
% 299.43/67.79 | (1404) all_1090_0 = all_1077_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (854), (1377) imply:
% 299.43/67.79 | (1405) all_1102_0 = all_1077_1
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1405) implies:
% 299.43/67.79 | (1406) all_1102_0 = all_1077_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (853), (1371) imply:
% 299.43/67.79 | (1407) all_1007_3 = all_942_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1407) implies:
% 299.43/67.79 | (1408) all_1007_3 = all_942_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (852), (1400) imply:
% 299.43/67.79 | (1409) all_1102_0 = all_960_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1409) implies:
% 299.43/67.79 | (1410) all_1102_0 = all_960_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (742), (1396) imply:
% 299.43/67.79 | (1411) all_927_0 = all_898_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1411) implies:
% 299.43/67.79 | (1412) all_927_0 = all_898_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (775), (1391) imply:
% 299.43/67.79 | (1413) all_1056_0 = all_891_2
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1413) implies:
% 299.43/67.79 | (1414) all_1056_0 = all_891_2
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (851), (1406) imply:
% 299.43/67.79 | (1415) all_1077_1 = all_1043_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1406), (1410) imply:
% 299.43/67.79 | (1416) all_1077_1 = all_960_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1364), (1365) imply:
% 299.43/67.79 | (1417) all_1029_0 = all_808_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1417) implies:
% 299.43/67.79 | (1418) all_1029_0 = all_808_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1131), (1404) imply:
% 299.43/67.79 | (1419) all_1077_0 = all_980_2
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1140), (1404) imply:
% 299.43/67.79 | (1420) all_1077_0 = all_1023_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1419), (1420) imply:
% 299.43/67.79 | (1421) all_1023_0 = all_980_2
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1415), (1416) imply:
% 299.43/67.79 | (1422) all_1043_1 = all_960_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1422) implies:
% 299.43/67.79 | (1423) all_1043_1 = all_960_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (850), (1402) imply:
% 299.43/67.79 | (1424) all_1001_1 = all_745_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1424) implies:
% 299.43/67.79 | (1425) all_1001_1 = all_745_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1380), (1393) imply:
% 299.43/67.79 | (1426) all_1029_1 = all_737_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1426) implies:
% 299.43/67.79 | (1427) all_1029_1 = all_737_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (774), (1414) imply:
% 299.43/67.79 | (1428) all_986_1 = all_891_2
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1428) implies:
% 299.43/67.79 | (1429) all_986_1 = all_891_2
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (849), (1226) imply:
% 299.43/67.79 | (1430) all_1001_1 = all_966_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1430) implies:
% 299.43/67.79 | (1431) all_1001_1 = all_966_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1226), (1423) imply:
% 299.43/67.79 | (1432) all_966_0 = all_960_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (848), (1226) imply:
% 299.43/67.79 | (1433) all_1007_3 = all_966_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1433) implies:
% 299.43/67.79 | (1434) all_1007_3 = all_966_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1388), (1418) imply:
% 299.43/67.79 | (1435) all_1012_0 = all_808_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1435) implies:
% 299.43/67.79 | (1436) all_1012_0 = all_808_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1394), (1427) imply:
% 299.43/67.79 | (1437) all_989_0 = all_737_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1437) implies:
% 299.43/67.79 | (1438) all_989_0 = all_737_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1389), (1436) imply:
% 299.43/67.79 | (1439) all_980_1 = all_808_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1439) implies:
% 299.43/67.79 | (1440) all_980_1 = all_808_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (847), (1408) imply:
% 299.43/67.79 | (1441) all_942_0 = all_848_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1408), (1434) imply:
% 299.43/67.79 | (1442) all_966_0 = all_942_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1442) implies:
% 299.43/67.79 | (1443) all_966_0 = all_942_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1425), (1431) imply:
% 299.43/67.79 | (1444) all_966_0 = all_745_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1444) implies:
% 299.43/67.79 | (1445) all_966_0 = all_745_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (846), (1438) imply:
% 299.43/67.79 | (1446) all_975_1 = all_737_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1446) implies:
% 299.43/67.79 | (1447) all_975_1 = all_737_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1090), (1429) imply:
% 299.43/67.79 | (1448) all_972_0 = all_891_2
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1448) implies:
% 299.43/67.79 | (1449) all_972_0 = all_891_2
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (740), (741) imply:
% 299.43/67.79 | (1450) all_936_0 = all_927_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (739), (740) imply:
% 299.43/67.79 | (1451) all_978_3 = all_936_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1451) implies:
% 299.43/67.79 | (1452) all_978_3 = all_936_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1044), (1440) imply:
% 299.43/67.79 | (1453) all_978_3 = all_808_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1453) implies:
% 299.43/67.79 | (1454) all_978_3 = all_808_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1452), (1454) imply:
% 299.43/67.79 | (1455) all_936_0 = all_808_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1455) implies:
% 299.43/67.79 | (1456) all_936_0 = all_808_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (737), (738) imply:
% 299.43/67.79 | (1457) all_815_1 = all_735_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (736), (737) imply:
% 299.43/67.79 | (1458) all_828_1 = all_815_1
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1458) implies:
% 299.43/67.79 | (1459) all_828_1 = all_815_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (845), (1447) imply:
% 299.43/67.79 | (1460) all_969_1 = all_737_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1460) implies:
% 299.43/67.79 | (1461) all_969_1 = all_737_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1220), (1449) imply:
% 299.43/67.79 | (1462) all_963_0 = all_891_2
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1462) implies:
% 299.43/67.79 | (1463) all_963_0 = all_891_2
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (844), (1461) imply:
% 299.43/67.79 | (1464) all_945_1 = all_737_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1464) implies:
% 299.43/67.79 | (1465) all_945_1 = all_737_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1432), (1443) imply:
% 299.43/67.79 | (1466) all_960_0 = all_942_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1432), (1445) imply:
% 299.43/67.79 | (1467) all_960_0 = all_745_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1359), (1463) imply:
% 299.43/67.79 | (1468) all_908_1 = all_891_2
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1468) implies:
% 299.43/67.79 | (1469) all_908_1 = all_891_2
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1466), (1467) imply:
% 299.43/67.79 | (1470) all_942_0 = all_745_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1470) implies:
% 299.43/67.79 | (1471) all_942_0 = all_745_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (843), (1465) imply:
% 299.43/67.79 | (1472) all_920_0 = all_737_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1472) implies:
% 299.43/67.79 | (1473) all_920_0 = all_737_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1441), (1471) imply:
% 299.43/67.79 | (1474) all_848_1 = all_745_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1474) implies:
% 299.43/67.79 | (1475) all_848_1 = all_745_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1450), (1456) imply:
% 299.43/67.79 | (1476) all_927_0 = all_808_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1476) implies:
% 299.43/67.79 | (1477) all_927_0 = all_808_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1083), (1412) imply:
% 299.43/67.79 | (1478) all_898_0 = all_848_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1412), (1477) imply:
% 299.43/67.79 | (1479) all_898_0 = all_808_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (842), (1473) imply:
% 299.43/67.79 | (1480) all_881_0 = all_737_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1480) implies:
% 299.43/67.79 | (1481) all_881_0 = all_737_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (841), (1177) imply:
% 299.43/67.79 | (1482) all_825_0 = all_792_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (840), (1177) imply:
% 299.43/67.79 | (1483) all_881_0 = all_825_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1483) implies:
% 299.43/67.79 | (1484) all_881_0 = all_825_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1360), (1469) imply:
% 299.43/67.79 | (1485) all_891_2 = all_878_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1361), (1469) imply:
% 299.43/67.79 | (1486) all_891_2 = all_828_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1357), (1469) imply:
% 299.43/67.79 | (1487) all_891_2 = all_808_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1478), (1479) imply:
% 299.43/67.79 | (1488) all_848_0 = all_808_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1488) implies:
% 299.43/67.79 | (1489) all_848_0 = all_808_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1485), (1487) imply:
% 299.43/67.79 | (1490) all_878_0 = all_808_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1485), (1486) imply:
% 299.43/67.79 | (1491) all_878_0 = all_828_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1481), (1484) imply:
% 299.43/67.79 | (1492) all_825_0 = all_737_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1492) implies:
% 299.43/67.79 | (1493) all_825_0 = all_737_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1490), (1491) imply:
% 299.43/67.79 | (1494) all_828_0 = all_808_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1084), (1489) imply:
% 299.43/67.79 | (1495) all_828_1 = all_808_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1495) implies:
% 299.43/67.79 | (1496) all_828_1 = all_808_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (839), (1475) imply:
% 299.43/67.79 | (1497) all_845_1 = all_745_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1497) implies:
% 299.43/67.79 | (1498) all_845_1 = all_745_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (838), (1498) imply:
% 299.43/67.79 | (1499) all_841_1 = all_745_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1499) implies:
% 299.43/67.79 | (1500) all_841_1 = all_745_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (837), (1500) imply:
% 299.43/67.79 | (1501) all_788_0 = all_745_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1501) implies:
% 299.43/67.79 | (1502) all_788_0 = all_745_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1459), (1496) imply:
% 299.43/67.79 | (1503) all_815_1 = all_808_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1503) implies:
% 299.43/67.79 | (1504) all_815_1 = all_808_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1482), (1493) imply:
% 299.43/67.79 | (1505) all_792_0 = all_737_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1505) implies:
% 299.43/67.79 | (1506) all_792_0 = all_737_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1457), (1504) imply:
% 299.43/67.79 | (1507) all_808_0 = all_735_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (836), (1189) imply:
% 299.43/67.79 | (1508) all_788_0 = all_747_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1508) implies:
% 299.43/67.79 | (1509) all_788_0 = all_747_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1189), (1506) imply:
% 299.43/67.79 | (1510) all_747_0 = all_737_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1502), (1509) imply:
% 299.43/67.79 | (1511) all_747_0 = all_745_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1511) implies:
% 299.43/67.79 | (1512) all_747_0 = all_745_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1510), (1512) imply:
% 299.43/67.79 | (1513) all_745_0 = all_737_0
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1513) implies:
% 299.43/67.79 | (1514) all_745_0 = all_737_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1475), (1514) imply:
% 299.43/67.79 | (1515) all_848_1 = all_737_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1489), (1507) imply:
% 299.43/67.79 | (1516) all_848_0 = all_735_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1479), (1507) imply:
% 299.43/67.79 | (1517) all_898_0 = all_735_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1471), (1514) imply:
% 299.43/67.79 | (1518) all_942_0 = all_737_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1449), (1487) imply:
% 299.43/67.79 | (1519) all_972_0 = all_808_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1454), (1507) imply:
% 299.43/67.79 | (1520) all_978_3 = all_735_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1440), (1507) imply:
% 299.43/67.79 | (1521) all_980_1 = all_735_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1408), (1518) imply:
% 299.43/67.79 | (1522) all_1007_3 = all_737_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1325), (1487) imply:
% 299.43/67.79 | (1523) all_1199_5 = all_808_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1303), (1419) imply:
% 299.43/67.79 | (1524) all_1291_6 = all_980_2
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1301), (1517) imply:
% 299.43/67.79 | (1525) all_1291_2 = all_735_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1181), (1280) imply:
% 299.43/67.79 | (1526) all_1353_2 = all_1132_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1170), (1487) imply:
% 299.43/67.79 | (1527) all_1377_1 = all_808_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1152), (1517) imply:
% 299.43/67.79 | (1528) all_1438_0 = all_735_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1088), (1239) imply:
% 299.43/67.79 | (1529) all_1491_8 = all_1009_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1175), (1419) imply:
% 299.43/67.79 | (1530) all_1505_9 = all_980_2
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1160), (1526) imply:
% 299.43/67.79 | (1531) all_1505_7 = all_1132_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1158), (1357) imply:
% 299.43/67.79 | (1532) all_1505_5 = all_808_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1154), (1419) imply:
% 299.43/67.79 | (1533) all_1534_9 = all_980_2
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1122), (1526) imply:
% 299.43/67.79 | (1534) all_1534_7 = all_1132_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1119), (1357) imply:
% 299.43/67.79 | (1535) all_1534_5 = all_808_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (949), (1419) imply:
% 299.43/67.79 | (1536) all_1566_11 = all_980_2
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1094), (1526) imply:
% 299.43/67.79 | (1537) all_1566_8 = all_1132_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (796), (1535) imply:
% 299.43/67.79 | (1538) all_1566_6 = all_808_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1112), (1517) imply:
% 299.43/67.79 | (1539) all_1566_0 = all_735_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1077), (1421) imply:
% 299.43/67.79 | (1540) all_1584_10 = all_980_2
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1073), (1526) imply:
% 299.43/67.79 | (1541) all_1584_8 = all_1132_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1041), (1519) imply:
% 299.43/67.79 | (1542) all_1584_6 = all_808_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1080), (1239) imply:
% 299.43/67.79 | (1543) all_1589_2 = all_1009_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1058), (1242) imply:
% 299.43/67.79 | (1544) all_1600_2 = all_1288_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (954), (1421) imply:
% 299.43/67.79 | (1545) all_1626_16 = all_980_2
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (917), (1526) imply:
% 299.43/67.79 | (1546) all_1626_10 = all_1132_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (802), (1527) imply:
% 299.43/67.79 | (1547) all_1626_8 = all_808_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1065), (1517) imply:
% 299.43/67.79 | (1548) all_1626_1 = all_735_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1003), (1517) imply:
% 299.43/67.79 | (1549) all_1631_23 = all_735_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1022), (1124) imply:
% 299.43/67.79 | (1550) all_1631_22 = all_1007_2
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1038), (1239) imply:
% 299.43/67.79 | (1551) all_1631_17 = all_1009_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1052), (1544) imply:
% 299.43/67.79 | (1552) all_1631_16 = all_1288_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (979), (1263) imply:
% 299.43/67.79 | (1553) all_1631_7 = all_1132_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (961), (1373) imply:
% 299.43/67.79 | (1554) all_1639_23 = all_1009_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1037), (1544) imply:
% 299.43/67.79 | (1555) all_1639_22 = all_1288_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (766), (1521) imply:
% 299.43/67.79 | (1556) all_1639_8 = all_735_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1012), (1543) imply:
% 299.43/67.79 | (1557) all_1644_25 = all_1009_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1018), (1544) imply:
% 299.43/67.79 | (1558) all_1644_24 = all_1288_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (769), (1528) imply:
% 299.43/67.79 | (1559) all_1644_9 = all_735_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (815), (1550) imply:
% 299.43/67.79 | (1560) all_1644_8 = all_1007_2
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (967), (1529) imply:
% 299.43/67.79 | (1561) all_1646_26 = all_1009_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (1010), (1544) imply:
% 299.43/67.79 | (1562) all_1646_25 = all_1288_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (999), (1543) imply:
% 299.43/67.79 | (1563) all_1648_26 = all_1009_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (997), (1544) imply:
% 299.43/67.79 | (1564) all_1648_25 = all_1288_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (991), (1029) imply:
% 299.43/67.79 | (1565) all_1648_17 = all_1132_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (989), (1517) imply:
% 299.43/67.79 | (1566) all_1648_10 = all_735_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (820), (1042) imply:
% 299.43/67.79 | (1567) all_1648_9 = all_1007_2
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (971), (1543) imply:
% 299.43/67.79 | (1568) all_1650_28 = all_1009_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (835), (1544) imply:
% 299.43/67.79 | (1569) all_1650_27 = all_1288_1
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (976), (1031) imply:
% 299.43/67.79 | (1570) all_1650_26 = all_1190_4
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (982), (1565) imply:
% 299.43/67.79 | (1571) all_1650_9 = all_1132_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (773), (1517) imply:
% 299.43/67.79 | (1572) all_1650_5 = all_735_0
% 299.43/67.79 |
% 299.43/67.79 | COMBINE_EQS: (822), (1095) imply:
% 299.43/67.79 | (1573) all_1650_4 = all_1007_2
% 299.43/67.79 |
% 299.43/67.79 | REDUCE: (220), (1515), (1516) imply:
% 299.43/67.79 | (1574) ~ (all_737_0 = all_735_0)
% 299.43/67.79 |
% 299.43/67.79 | SIMP: (1574) implies:
% 299.43/67.79 | (1575) ~ (all_737_0 = all_735_0)
% 299.43/67.79 |
% 299.43/67.79 | REDUCE: (263), (1520) imply:
% 299.43/67.79 | (1576) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, all_735_0) =
% 299.43/67.79 | all_978_2
% 299.43/67.79 |
% 299.43/67.79 | REDUCE: (733), (1572) imply:
% 299.43/67.79 | (1577) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_735_0,
% 299.43/67.79 | all_1650_2) = all_1650_1
% 299.43/67.79 |
% 299.43/67.79 | REDUCE: (716), (1566) imply:
% 299.43/67.79 | (1578) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_735_0,
% 299.43/67.79 | all_1648_7) = all_1648_6
% 299.43/67.79 |
% 299.43/67.79 | REDUCE: (679), (1559) imply:
% 299.43/67.79 | (1579) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_735_0,
% 299.43/67.79 | all_1644_6) = all_1644_5
% 299.43/67.79 |
% 299.43/67.79 | REDUCE: (659), (1556) imply:
% 299.43/67.79 | (1580) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_735_0,
% 299.43/67.79 | all_1639_5) = all_1639_4
% 299.43/67.79 |
% 299.43/67.79 | REDUCE: (642), (1549) imply:
% 299.43/67.79 | (1581) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_735_0,
% 299.43/67.79 | all_1631_20) = all_1631_19
% 299.43/67.79 |
% 299.43/67.79 | REDUCE: (618), (1547) imply:
% 299.43/67.79 | (1582) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_808_1) =
% 299.43/67.79 | all_1626_7
% 299.43/67.79 |
% 299.43/67.79 | REDUCE: (589), (1542) imply:
% 299.43/67.79 | (1583) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_808_1) =
% 299.43/67.79 | all_1584_5
% 299.43/67.79 |
% 299.43/67.79 | REDUCE: (567), (1538) imply:
% 299.43/67.79 | (1584) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_808_1) =
% 299.43/67.79 | all_1566_5
% 299.43/67.79 |
% 299.43/67.79 | REDUCE: (533), (1535) imply:
% 299.43/67.79 | (1585) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_808_1) =
% 299.43/67.79 | all_1534_4
% 299.43/67.79 |
% 299.43/67.79 | REDUCE: (512), (1532) imply:
% 299.43/67.79 | (1586) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_808_1) =
% 299.43/67.79 | all_1505_4
% 299.43/67.79 |
% 299.43/67.79 | REDUCE: (355), (1523) imply:
% 299.43/67.79 | (1587) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_808_1) =
% 299.43/67.79 | all_1199_4
% 299.43/67.79 |
% 299.43/67.79 | REDUCE: (235), (1357) imply:
% 299.43/67.79 | (1588) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_808_1) =
% 299.43/67.79 | all_908_0
% 299.43/67.79 |
% 299.43/67.79 | REDUCE: (229), (1487) imply:
% 299.43/67.79 | (1589) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_808_1) =
% 299.43/67.79 | all_891_1
% 299.43/67.79 |
% 299.43/67.79 | REDUCE: (727), (1573) imply:
% 299.43/67.79 | (1590) hAPP(all_1007_2, v_t____) = all_1650_3
% 299.43/67.79 |
% 299.43/67.79 | REDUCE: (726), (1571) imply:
% 299.43/67.79 | (1591) hAPP(all_1132_0, all_1650_15) = all_1650_8
% 299.43/67.79 |
% 299.43/67.79 | REDUCE: (723), (1569) imply:
% 299.43/67.79 | (1592) hAPP(all_1288_1, all_1650_15) = all_1650_14
% 299.43/67.79 |
% 299.43/67.79 | REDUCE: (722), (1568) imply:
% 299.43/67.80 | (1593) hAPP(all_1009_1, all_1650_13) = all_1650_12
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (721), (1568), (1570) imply:
% 299.43/67.80 | (1594) hAPP(all_1009_1, all_1190_4) = all_1650_16
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (707), (1567) imply:
% 299.43/67.80 | (1595) hAPP(all_1007_2, v_t____) = all_1648_8
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (706), (1565) imply:
% 299.43/67.80 | (1596) hAPP(all_1132_0, all_1648_22) = all_1648_16
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (702), (1564) imply:
% 299.43/67.80 | (1597) hAPP(all_1288_1, all_1648_22) = all_1648_21
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (701), (1563) imply:
% 299.43/67.80 | (1598) hAPP(all_1009_1, all_1648_4) = all_1648_3
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (700), (1563) imply:
% 299.43/67.80 | (1599) hAPP(all_1009_1, all_1648_20) = all_1648_19
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (699), (974), (1563) imply:
% 299.43/67.80 | (1600) hAPP(all_1009_1, all_1190_4) = all_1648_23
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (690), (981) imply:
% 299.43/67.80 | (1601) hAPP(all_1132_0, all_1646_22) = all_1646_16
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (686), (1562) imply:
% 299.43/67.80 | (1602) hAPP(all_1288_1, all_1646_22) = all_1646_21
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (685), (1561) imply:
% 299.43/67.80 | (1603) hAPP(all_1009_1, all_1646_2) = all_1646_1
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (684), (1561) imply:
% 299.43/67.80 | (1604) hAPP(all_1009_1, all_1646_20) = all_1646_19
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (683), (1007), (1561) imply:
% 299.43/67.80 | (1605) hAPP(all_1009_1, all_1190_4) = all_1646_23
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (673), (1560) imply:
% 299.43/67.80 | (1606) hAPP(all_1007_2, v_t____) = all_1644_7
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (672), (1014) imply:
% 299.43/67.80 | (1607) hAPP(all_1132_0, all_1644_21) = all_1644_15
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (669), (1558) imply:
% 299.43/67.80 | (1608) hAPP(all_1288_1, all_1644_21) = all_1644_20
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (668), (1557) imply:
% 299.43/67.80 | (1609) hAPP(all_1009_1, all_1644_19) = all_1644_18
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (667), (1016), (1557) imply:
% 299.43/67.80 | (1610) hAPP(all_1009_1, all_1190_4) = all_1644_22
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (653), (814) imply:
% 299.43/67.80 | (1611) hAPP(all_1007_2, v_t____) = all_1639_6
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (652), (1029) imply:
% 299.43/67.80 | (1612) hAPP(all_1132_0, all_1639_19) = all_1639_13
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (649), (1555) imply:
% 299.43/67.80 | (1613) hAPP(all_1288_1, all_1639_19) = all_1639_18
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (648), (1554) imply:
% 299.43/67.80 | (1614) hAPP(all_1009_1, all_1639_17) = all_1639_16
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (647), (1031), (1554) imply:
% 299.43/67.80 | (1615) hAPP(all_1009_1, all_1190_4) = all_1639_20
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (635), (1553) imply:
% 299.43/67.80 | (1616) hAPP(all_1132_0, all_1631_13) = all_1631_6
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (630), (1552) imply:
% 299.43/67.80 | (1617) hAPP(all_1288_1, all_1631_13) = all_1631_12
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (629), (1551) imply:
% 299.43/67.80 | (1618) hAPP(all_1009_1, all_1631_9) = all_1631_8
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (628), (1551) imply:
% 299.43/67.80 | (1619) hAPP(all_1009_1, all_1631_11) = all_1631_10
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (627), (1050), (1551) imply:
% 299.43/67.80 | (1620) hAPP(all_1009_1, all_1190_4) = all_1631_14
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (625), (1550) imply:
% 299.43/67.80 | (1621) hAPP(all_1007_2, v_t____) = all_1631_21
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (611), (1548) imply:
% 299.43/67.80 | (1622) hAPP(all_1626_12, all_735_0) = all_1626_0
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (608), (1042), (1546) imply:
% 299.43/67.80 | (1623) hAPP(all_1007_2, all_1132_1) = all_1626_9
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (607), (1042) imply:
% 299.43/67.80 | (1624) hAPP(all_1007_2, v_t____) = all_1626_14
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (606), (1545) imply:
% 299.43/67.80 | (1625) hAPP(all_980_2, all_1626_6) = all_1626_5
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (605), (1545) imply:
% 299.43/67.80 | (1626) hAPP(all_980_2, all_1626_13) = all_1626_12
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (604), (1545) imply:
% 299.43/67.80 | (1627) hAPP(all_980_2, v_t____) = all_1626_11
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (582), (1075), (1541) imply:
% 299.43/67.80 | (1628) hAPP(all_1007_2, all_1132_1) = all_1584_7
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (581), (1540) imply:
% 299.43/67.80 | (1629) hAPP(all_980_2, all_1584_4) = all_1584_3
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (561), (1095), (1537) imply:
% 299.43/67.80 | (1630) hAPP(all_1007_2, all_1132_1) = all_1566_7
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (559), (1536) imply:
% 299.43/67.80 | (1631) hAPP(all_980_2, all_1566_4) = all_1566_3
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (558), (1536) imply:
% 299.43/67.80 | (1632) hAPP(all_980_2, v_t____) = all_1566_10
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (527), (1150), (1534) imply:
% 299.43/67.80 | (1633) hAPP(all_1007_2, all_1132_1) = all_1534_6
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (526), (1533) imply:
% 299.43/67.80 | (1634) hAPP(all_980_2, all_1534_3) = all_1534_2
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (507), (1162), (1531) imply:
% 299.43/67.80 | (1635) hAPP(all_1007_2, all_1132_1) = all_1505_6
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (506), (1530) imply:
% 299.43/67.80 | (1636) hAPP(all_980_2, all_1505_3) = all_1505_2
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (397), (1280) imply:
% 299.43/67.80 | (1637) hAPP(all_1291_1, all_1132_1) = all_1291_0
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (396), (1280) imply:
% 299.43/67.80 | (1638) hAPP(all_1291_5, all_1132_1) = all_1291_3
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (395), (1524), (1525) imply:
% 299.43/67.80 | (1639) hAPP(all_980_2, all_735_0) = all_1291_1
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (394), (1524) imply:
% 299.43/67.80 | (1640) hAPP(all_980_2, v_t____) = all_1291_5
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (346), (1305) imply:
% 299.43/67.80 | (1641) hAPP(all_1009_1, all_1190_4) = all_1190_3
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (265), (1521) imply:
% 299.43/67.80 | (1642) hAPP(all_980_2, all_735_0) = all_980_0
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (345), (1309) imply:
% 299.43/67.80 | (1643) $i(all_1132_1)
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (205), (1507) imply:
% 299.43/67.80 | (1644) $i(all_735_0)
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (557), (1539) imply:
% 299.43/67.80 | (1645) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1566_1,
% 299.43/67.80 | all_735_0)
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (277), (1522) imply:
% 299.43/67.80 | (1646) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_737_0,
% 299.43/67.80 | all_1007_0)
% 299.43/67.80 |
% 299.43/67.80 | GROUND_INST: instantiating (185) with all_1566_10, all_1626_11, v_t____,
% 299.43/67.80 | all_980_2, simplifying with (1627), (1632) gives:
% 299.43/67.80 | (1647) all_1626_11 = all_1566_10
% 299.43/67.80 |
% 299.43/67.80 | GROUND_INST: instantiating (185) with all_1291_5, all_1626_11, v_t____,
% 299.43/67.80 | all_980_2, simplifying with (1627), (1640) gives:
% 299.43/67.80 | (1648) all_1626_11 = all_1291_5
% 299.43/67.80 |
% 299.43/67.80 | GROUND_INST: instantiating (185) with all_980_0, all_1291_1, all_735_0,
% 299.43/67.80 | all_980_2, simplifying with (1639), (1642) gives:
% 299.43/67.80 | (1649) all_1291_1 = all_980_0
% 299.43/67.80 |
% 299.43/67.80 | GROUND_INST: instantiating (185) with all_1631_21, all_1639_6, v_t____,
% 299.43/67.80 | all_1007_2, simplifying with (1611), (1621) gives:
% 299.43/67.80 | (1650) all_1639_6 = all_1631_21
% 299.43/67.80 |
% 299.43/67.80 | GROUND_INST: instantiating (185) with all_1639_6, all_1644_7, v_t____,
% 299.43/67.80 | all_1007_2, simplifying with (1606), (1611) gives:
% 299.43/67.80 | (1651) all_1644_7 = all_1639_6
% 299.43/67.80 |
% 299.43/67.80 | GROUND_INST: instantiating (185) with all_1007_1, all_1648_8, v_t____,
% 299.43/67.80 | all_1007_2, simplifying with (278), (1595) gives:
% 299.43/67.80 | (1652) all_1648_8 = all_1007_1
% 299.43/67.80 |
% 299.43/67.80 | GROUND_INST: instantiating (185) with all_1631_21, all_1648_8, v_t____,
% 299.43/67.80 | all_1007_2, simplifying with (1595), (1621) gives:
% 299.43/67.80 | (1653) all_1648_8 = all_1631_21
% 299.43/67.80 |
% 299.43/67.80 | GROUND_INST: instantiating (185) with all_1644_7, all_1650_3, v_t____,
% 299.43/67.80 | all_1007_2, simplifying with (1590), (1606) gives:
% 299.43/67.80 | (1654) all_1650_3 = all_1644_7
% 299.43/67.80 |
% 299.43/67.80 | GROUND_INST: instantiating (185) with all_1626_14, all_1650_3, v_t____,
% 299.43/67.80 | all_1007_2, simplifying with (1590), (1624) gives:
% 299.43/67.80 | (1655) all_1650_3 = all_1626_14
% 299.43/67.80 |
% 299.43/67.80 | GROUND_INST: instantiating (185) with all_1505_6, all_1584_7, all_1132_1,
% 299.43/67.80 | all_1007_2, simplifying with (1628), (1635) gives:
% 299.43/67.80 | (1656) all_1584_7 = all_1505_6
% 299.43/67.80 |
% 299.43/67.80 | GROUND_INST: instantiating (185) with all_1584_7, all_1626_9, all_1132_1,
% 299.43/67.80 | all_1007_2, simplifying with (1623), (1628) gives:
% 299.43/67.80 | (1657) all_1626_9 = all_1584_7
% 299.43/67.80 |
% 299.43/67.80 | GROUND_INST: instantiating (185) with all_1566_7, all_1626_9, all_1132_1,
% 299.43/67.80 | all_1007_2, simplifying with (1623), (1630) gives:
% 299.43/67.80 | (1658) all_1626_9 = all_1566_7
% 299.43/67.80 |
% 299.43/67.80 | GROUND_INST: instantiating (185) with all_1534_6, all_1626_9, all_1132_1,
% 299.43/67.80 | all_1007_2, simplifying with (1623), (1633) gives:
% 299.43/67.80 | (1659) all_1626_9 = all_1534_6
% 299.43/67.80 |
% 299.43/67.80 | GROUND_INST: instantiating (185) with all_1639_20, all_1644_22, all_1190_4,
% 299.43/67.80 | all_1009_1, simplifying with (1610), (1615) gives:
% 299.43/67.80 | (1660) all_1644_22 = all_1639_20
% 299.43/67.80 |
% 299.43/67.80 | GROUND_INST: instantiating (185) with all_1631_14, all_1644_22, all_1190_4,
% 299.43/67.80 | all_1009_1, simplifying with (1610), (1620) gives:
% 299.43/67.80 | (1661) all_1644_22 = all_1631_14
% 299.43/67.80 |
% 299.43/67.80 | GROUND_INST: instantiating (185) with all_1646_23, all_1648_23, all_1190_4,
% 299.43/67.80 | all_1009_1, simplifying with (1600), (1605) gives:
% 299.43/67.80 | (1662) all_1648_23 = all_1646_23
% 299.43/67.80 |
% 299.43/67.80 | GROUND_INST: instantiating (185) with all_1639_20, all_1648_23, all_1190_4,
% 299.43/67.80 | all_1009_1, simplifying with (1600), (1615) gives:
% 299.43/67.80 | (1663) all_1648_23 = all_1639_20
% 299.43/67.80 |
% 299.43/67.80 | GROUND_INST: instantiating (185) with all_1648_23, all_1650_16, all_1190_4,
% 299.43/67.80 | all_1009_1, simplifying with (1594), (1600) gives:
% 299.43/67.80 | (1664) all_1650_16 = all_1648_23
% 299.43/67.80 |
% 299.43/67.80 | GROUND_INST: instantiating (185) with all_1190_3, all_1650_16, all_1190_4,
% 299.43/67.80 | all_1009_1, simplifying with (1594), (1641) gives:
% 299.43/67.80 | (1665) all_1650_16 = all_1190_3
% 299.43/67.80 |
% 299.43/67.80 | GROUND_INST: instantiating (190) with all_1505_4, all_1534_4, all_808_1,
% 299.43/67.80 | v_k____, tc_Nat_Onat, simplifying with (1585), (1586) gives:
% 299.43/67.80 | (1666) all_1534_4 = all_1505_4
% 299.43/67.80 |
% 299.43/67.80 | GROUND_INST: instantiating (190) with all_1534_4, all_1566_5, all_808_1,
% 299.43/67.80 | v_k____, tc_Nat_Onat, simplifying with (1584), (1585) gives:
% 299.43/67.80 | (1667) all_1566_5 = all_1534_4
% 299.43/67.80 |
% 299.43/67.80 | GROUND_INST: instantiating (190) with all_1199_4, all_1566_5, all_808_1,
% 299.43/67.80 | v_k____, tc_Nat_Onat, simplifying with (1584), (1587) gives:
% 299.43/67.80 | (1668) all_1566_5 = all_1199_4
% 299.43/67.80 |
% 299.43/67.80 | GROUND_INST: instantiating (190) with all_1534_4, all_1584_5, all_808_1,
% 299.43/67.80 | v_k____, tc_Nat_Onat, simplifying with (1583), (1585) gives:
% 299.43/67.80 | (1669) all_1584_5 = all_1534_4
% 299.43/67.80 |
% 299.43/67.80 | GROUND_INST: instantiating (190) with all_891_1, all_1584_5, all_808_1,
% 299.43/67.80 | v_k____, tc_Nat_Onat, simplifying with (1583), (1589) gives:
% 299.43/67.80 | (1670) all_1584_5 = all_891_1
% 299.43/67.80 |
% 299.43/67.80 | GROUND_INST: instantiating (190) with all_1534_4, all_1626_7, all_808_1,
% 299.43/67.80 | v_k____, tc_Nat_Onat, simplifying with (1582), (1585) gives:
% 299.43/67.80 | (1671) all_1626_7 = all_1534_4
% 299.43/67.80 |
% 299.43/67.80 | GROUND_INST: instantiating (190) with all_908_0, all_1626_7, all_808_1,
% 299.43/67.80 | v_k____, tc_Nat_Onat, simplifying with (1582), (1588) gives:
% 299.43/67.80 | (1672) all_1626_7 = all_908_0
% 299.43/67.80 |
% 299.43/67.80 | COMBINE_EQS: (1654), (1655) imply:
% 299.43/67.80 | (1673) all_1644_7 = all_1626_14
% 299.43/67.80 |
% 299.43/67.80 | SIMP: (1673) implies:
% 299.43/67.80 | (1674) all_1644_7 = all_1626_14
% 299.43/67.80 |
% 299.43/67.80 | COMBINE_EQS: (1664), (1665) imply:
% 299.43/67.80 | (1675) all_1648_23 = all_1190_3
% 299.43/67.80 |
% 299.43/67.80 | SIMP: (1675) implies:
% 299.43/67.80 | (1676) all_1648_23 = all_1190_3
% 299.43/67.80 |
% 299.43/67.80 | COMBINE_EQS: (1652), (1653) imply:
% 299.43/67.80 | (1677) all_1631_21 = all_1007_1
% 299.43/67.80 |
% 299.43/67.80 | SIMP: (1677) implies:
% 299.43/67.80 | (1678) all_1631_21 = all_1007_1
% 299.43/67.80 |
% 299.43/67.80 | COMBINE_EQS: (1662), (1663) imply:
% 299.43/67.80 | (1679) all_1646_23 = all_1639_20
% 299.43/67.80 |
% 299.43/67.80 | COMBINE_EQS: (1662), (1676) imply:
% 299.43/67.80 | (1680) all_1646_23 = all_1190_3
% 299.43/67.80 |
% 299.43/67.80 | COMBINE_EQS: (1679), (1680) imply:
% 299.43/67.80 | (1681) all_1639_20 = all_1190_3
% 299.43/67.80 |
% 299.43/67.80 | SIMP: (1681) implies:
% 299.43/67.80 | (1682) all_1639_20 = all_1190_3
% 299.43/67.80 |
% 299.43/67.80 | COMBINE_EQS: (1651), (1674) imply:
% 299.43/67.80 | (1683) all_1639_6 = all_1626_14
% 299.43/67.80 |
% 299.43/67.80 | SIMP: (1683) implies:
% 299.43/67.80 | (1684) all_1639_6 = all_1626_14
% 299.43/67.80 |
% 299.43/67.80 | COMBINE_EQS: (1660), (1661) imply:
% 299.43/67.80 | (1685) all_1639_20 = all_1631_14
% 299.43/67.80 |
% 299.43/67.80 | SIMP: (1685) implies:
% 299.43/67.80 | (1686) all_1639_20 = all_1631_14
% 299.43/67.80 |
% 299.43/67.80 | COMBINE_EQS: (1650), (1684) imply:
% 299.43/67.80 | (1687) all_1631_21 = all_1626_14
% 299.43/67.80 |
% 299.43/67.80 | SIMP: (1687) implies:
% 299.43/67.80 | (1688) all_1631_21 = all_1626_14
% 299.43/67.80 |
% 299.43/67.80 | COMBINE_EQS: (1682), (1686) imply:
% 299.43/67.80 | (1689) all_1631_14 = all_1190_3
% 299.43/67.80 |
% 299.43/67.80 | SIMP: (1689) implies:
% 299.43/67.80 | (1690) all_1631_14 = all_1190_3
% 299.43/67.80 |
% 299.43/67.80 | COMBINE_EQS: (1678), (1688) imply:
% 299.43/67.80 | (1691) all_1626_14 = all_1007_1
% 299.43/67.80 |
% 299.43/67.80 | COMBINE_EQS: (1671), (1672) imply:
% 299.43/67.80 | (1692) all_1534_4 = all_908_0
% 299.43/67.80 |
% 299.43/67.80 | SIMP: (1692) implies:
% 299.43/67.80 | (1693) all_1534_4 = all_908_0
% 299.43/67.80 |
% 299.43/67.80 | COMBINE_EQS: (1657), (1658) imply:
% 299.43/67.80 | (1694) all_1584_7 = all_1566_7
% 299.43/67.80 |
% 299.43/67.80 | SIMP: (1694) implies:
% 299.43/67.80 | (1695) all_1584_7 = all_1566_7
% 299.43/67.80 |
% 299.43/67.80 | COMBINE_EQS: (1658), (1659) imply:
% 299.43/67.80 | (1696) all_1566_7 = all_1534_6
% 299.43/67.80 |
% 299.43/67.80 | COMBINE_EQS: (1647), (1648) imply:
% 299.43/67.80 | (1697) all_1566_10 = all_1291_5
% 299.43/67.80 |
% 299.43/67.80 | SIMP: (1697) implies:
% 299.43/67.80 | (1698) all_1566_10 = all_1291_5
% 299.43/67.80 |
% 299.43/67.80 | COMBINE_EQS: (1669), (1670) imply:
% 299.43/67.80 | (1699) all_1534_4 = all_891_1
% 299.43/67.80 |
% 299.43/67.80 | SIMP: (1699) implies:
% 299.43/67.80 | (1700) all_1534_4 = all_891_1
% 299.43/67.80 |
% 299.43/67.80 | COMBINE_EQS: (1656), (1695) imply:
% 299.43/67.80 | (1701) all_1566_7 = all_1505_6
% 299.43/67.80 |
% 299.43/67.80 | SIMP: (1701) implies:
% 299.43/67.80 | (1702) all_1566_7 = all_1505_6
% 299.43/67.80 |
% 299.43/67.80 | COMBINE_EQS: (1667), (1668) imply:
% 299.43/67.80 | (1703) all_1534_4 = all_1199_4
% 299.43/67.80 |
% 299.43/67.80 | SIMP: (1703) implies:
% 299.43/67.80 | (1704) all_1534_4 = all_1199_4
% 299.43/67.80 |
% 299.43/67.80 | COMBINE_EQS: (1696), (1702) imply:
% 299.43/67.80 | (1705) all_1534_6 = all_1505_6
% 299.43/67.80 |
% 299.43/67.80 | SIMP: (1705) implies:
% 299.43/67.80 | (1706) all_1534_6 = all_1505_6
% 299.43/67.80 |
% 299.43/67.80 | COMBINE_EQS: (1666), (1704) imply:
% 299.43/67.80 | (1707) all_1505_4 = all_1199_4
% 299.43/67.80 |
% 299.43/67.80 | COMBINE_EQS: (1666), (1700) imply:
% 299.43/67.80 | (1708) all_1505_4 = all_891_1
% 299.43/67.80 |
% 299.43/67.80 | COMBINE_EQS: (1666), (1693) imply:
% 299.43/67.80 | (1709) all_1505_4 = all_908_0
% 299.43/67.80 |
% 299.43/67.80 | COMBINE_EQS: (1707), (1708) imply:
% 299.43/67.80 | (1710) all_1199_4 = all_891_1
% 299.43/67.80 |
% 299.43/67.80 | COMBINE_EQS: (1707), (1709) imply:
% 299.43/67.80 | (1711) all_1199_4 = all_908_0
% 299.43/67.80 |
% 299.43/67.80 | COMBINE_EQS: (1710), (1711) imply:
% 299.43/67.80 | (1712) all_908_0 = all_891_1
% 299.43/67.80 |
% 299.43/67.80 | COMBINE_EQS: (1668), (1710) imply:
% 299.43/67.80 | (1713) all_1566_5 = all_891_1
% 299.43/67.80 |
% 299.43/67.80 | COMBINE_EQS: (1658), (1702) imply:
% 299.43/67.80 | (1714) all_1626_9 = all_1505_6
% 299.43/67.80 |
% 299.43/67.80 | COMBINE_EQS: (1672), (1712) imply:
% 299.43/67.80 | (1715) all_1626_7 = all_891_1
% 299.43/67.80 |
% 299.43/67.80 | COMBINE_EQS: (1684), (1691) imply:
% 299.43/67.80 | (1716) all_1639_6 = all_1007_1
% 299.43/67.80 |
% 299.43/67.80 | COMBINE_EQS: (1661), (1690) imply:
% 299.43/67.80 | (1717) all_1644_22 = all_1190_3
% 299.43/67.80 |
% 299.43/67.80 | COMBINE_EQS: (1674), (1691) imply:
% 299.43/67.80 | (1718) all_1644_7 = all_1007_1
% 299.43/67.80 |
% 299.43/67.80 | COMBINE_EQS: (1655), (1691) imply:
% 299.43/67.80 | (1719) all_1650_3 = all_1007_1
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (728), (1719) imply:
% 299.43/67.80 | (1720) hAPP(all_1007_1, v_k____) = all_1650_2
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (724), (1665) imply:
% 299.43/67.80 | (1721) hAPP(all_1190_3, v_w____) = all_1650_15
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (708), (1652) imply:
% 299.43/67.80 | (1722) hAPP(all_1007_1, v_k____) = all_1648_7
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (703), (1676) imply:
% 299.43/67.80 | (1723) hAPP(all_1190_3, v_w____) = all_1648_22
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (687), (1680) imply:
% 299.43/67.80 | (1724) hAPP(all_1190_3, v_w____) = all_1646_22
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (674), (1718) imply:
% 299.43/67.80 | (1725) hAPP(all_1007_1, v_k____) = all_1644_6
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (670), (1717) imply:
% 299.43/67.80 | (1726) hAPP(all_1190_3, v_w____) = all_1644_21
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (654), (1716) imply:
% 299.43/67.80 | (1727) hAPP(all_1007_1, v_k____) = all_1639_5
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (650), (1682) imply:
% 299.43/67.80 | (1728) hAPP(all_1190_3, v_w____) = all_1639_19
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (631), (1690) imply:
% 299.43/67.80 | (1729) hAPP(all_1190_3, v_w____) = all_1631_13
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (626), (1678) imply:
% 299.43/67.80 | (1730) hAPP(all_1007_1, v_k____) = all_1631_20
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (613), (1714), (1715) imply:
% 299.43/67.80 | (1731) hAPP(all_1505_6, all_891_1) = all_1626_6
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (612), (1648) imply:
% 299.43/67.80 | (1732) hAPP(all_1291_5, all_1626_4) = all_1626_3
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (609), (1691) imply:
% 299.43/67.80 | (1733) hAPP(all_1007_1, v_k____) = all_1626_13
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (583), (1656), (1670) imply:
% 299.43/67.80 | (1734) hAPP(all_1505_6, all_891_1) = all_1584_4
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (562), (1702), (1713) imply:
% 299.43/67.80 | (1735) hAPP(all_1505_6, all_891_1) = all_1566_4
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (560), (1698) imply:
% 299.43/67.80 | (1736) hAPP(all_1291_5, all_1566_2) = all_1566_1
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (528), (1700), (1706) imply:
% 299.43/67.80 | (1737) hAPP(all_1505_6, all_891_1) = all_1534_3
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (508), (1708) imply:
% 299.43/67.80 | (1738) hAPP(all_1505_6, all_891_1) = all_1505_3
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (1637), (1649) imply:
% 299.43/67.80 | (1739) hAPP(all_980_0, all_1132_1) = all_1291_0
% 299.43/67.80 |
% 299.43/67.80 | REDUCE: (233), (1712) imply:
% 299.43/67.80 | (1740) $i(all_891_1)
% 299.43/67.80 |
% 299.43/67.80 | GROUND_INST: instantiating (185) with all_1639_5, all_1644_6, v_k____,
% 299.43/67.80 | all_1007_1, simplifying with (1725), (1727) gives:
% 299.43/67.80 | (1741) all_1644_6 = all_1639_5
% 299.43/67.80 |
% 299.43/67.80 | GROUND_INST: instantiating (185) with all_1644_6, all_1648_7, v_k____,
% 299.43/67.80 | all_1007_1, simplifying with (1722), (1725) gives:
% 299.43/67.80 | (1742) all_1648_7 = all_1644_6
% 299.43/67.80 |
% 299.43/67.80 | GROUND_INST: instantiating (185) with all_1626_13, all_1648_7, v_k____,
% 299.43/67.80 | all_1007_1, simplifying with (1722), (1733) gives:
% 299.43/67.80 | (1743) all_1648_7 = all_1626_13
% 299.43/67.80 |
% 299.43/67.80 | GROUND_INST: instantiating (185) with all_1007_0, all_1650_2, v_k____,
% 299.43/67.80 | all_1007_1, simplifying with (279), (1720) gives:
% 299.43/67.80 | (1744) all_1650_2 = all_1007_0
% 299.43/67.80 |
% 299.43/67.80 | GROUND_INST: instantiating (185) with all_1639_5, all_1650_2, v_k____,
% 299.43/67.80 | all_1007_1, simplifying with (1720), (1727) gives:
% 299.43/67.80 | (1745) all_1650_2 = all_1639_5
% 299.43/67.80 |
% 299.43/67.80 | GROUND_INST: instantiating (185) with all_1631_20, all_1650_2, v_k____,
% 299.43/67.80 | all_1007_1, simplifying with (1720), (1730) gives:
% 299.43/67.80 | (1746) all_1650_2 = all_1631_20
% 299.43/67.80 |
% 299.43/67.80 | GROUND_INST: instantiating (185) with all_1644_21, all_1646_22, v_w____,
% 299.43/67.80 | all_1190_3, simplifying with (1724), (1726) gives:
% 299.43/67.80 | (1747) all_1646_22 = all_1644_21
% 299.43/67.80 |
% 299.43/67.80 | GROUND_INST: instantiating (185) with all_1639_19, all_1646_22, v_w____,
% 299.43/67.80 | all_1190_3, simplifying with (1724), (1728) gives:
% 299.43/67.80 | (1748) all_1646_22 = all_1639_19
% 299.43/67.80 |
% 299.43/67.80 | GROUND_INST: instantiating (185) with all_1190_2, all_1648_22, v_w____,
% 299.43/67.80 | all_1190_3, simplifying with (347), (1723) gives:
% 299.43/67.80 | (1749) all_1648_22 = all_1190_2
% 299.43/67.80 |
% 299.43/67.80 | GROUND_INST: instantiating (185) with all_1646_22, all_1648_22, v_w____,
% 299.43/67.80 | all_1190_3, simplifying with (1723), (1724) gives:
% 299.43/67.80 | (1750) all_1648_22 = all_1646_22
% 299.43/67.80 |
% 299.43/67.80 | GROUND_INST: instantiating (185) with all_1644_21, all_1650_15, v_w____,
% 299.43/67.80 | all_1190_3, simplifying with (1721), (1726) gives:
% 299.43/67.80 | (1751) all_1650_15 = all_1644_21
% 299.43/67.80 |
% 299.43/67.80 | GROUND_INST: instantiating (185) with all_1631_13, all_1650_15, v_w____,
% 299.43/67.80 | all_1190_3, simplifying with (1721), (1729) gives:
% 299.43/67.80 | (1752) all_1650_15 = all_1631_13
% 299.43/67.80 |
% 299.43/67.80 | GROUND_INST: instantiating (185) with all_1534_3, all_1566_4, all_891_1,
% 299.43/67.80 | all_1505_6, simplifying with (1735), (1737) gives:
% 299.43/67.80 | (1753) all_1566_4 = all_1534_3
% 299.43/67.80 |
% 299.43/67.80 | GROUND_INST: instantiating (185) with all_1566_4, all_1584_4, all_891_1,
% 299.43/67.80 | all_1505_6, simplifying with (1734), (1735) gives:
% 299.43/67.80 | (1754) all_1584_4 = all_1566_4
% 299.43/67.80 |
% 299.43/67.80 | GROUND_INST: instantiating (185) with all_1584_4, all_1626_6, all_891_1,
% 299.43/67.80 | all_1505_6, simplifying with (1731), (1734) gives:
% 299.43/67.80 | (1755) all_1626_6 = all_1584_4
% 299.43/67.80 |
% 299.43/67.80 | GROUND_INST: instantiating (185) with all_1505_3, all_1626_6, all_891_1,
% 299.43/67.80 | all_1505_6, simplifying with (1731), (1738) gives:
% 299.43/67.80 | (1756) all_1626_6 = all_1505_3
% 299.43/67.80 |
% 299.43/67.80 | COMBINE_EQS: (1745), (1746) imply:
% 299.43/67.80 | (1757) all_1639_5 = all_1631_20
% 299.43/67.80 |
% 299.43/67.80 | SIMP: (1757) implies:
% 299.43/67.80 | (1758) all_1639_5 = all_1631_20
% 299.43/67.80 |
% 299.43/67.80 | COMBINE_EQS: (1744), (1746) imply:
% 299.43/67.80 | (1759) all_1631_20 = all_1007_0
% 299.43/67.80 |
% 299.43/67.80 | COMBINE_EQS: (1751), (1752) imply:
% 299.43/67.80 | (1760) all_1644_21 = all_1631_13
% 299.43/67.80 |
% 299.43/67.80 | SIMP: (1760) implies:
% 299.43/67.80 | (1761) all_1644_21 = all_1631_13
% 299.43/67.80 |
% 299.43/67.80 | COMBINE_EQS: (1742), (1743) imply:
% 299.43/67.80 | (1762) all_1644_6 = all_1626_13
% 299.43/67.81 |
% 299.43/67.81 | SIMP: (1762) implies:
% 299.43/67.81 | (1763) all_1644_6 = all_1626_13
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1749), (1750) imply:
% 299.43/67.81 | (1764) all_1646_22 = all_1190_2
% 299.43/67.81 |
% 299.43/67.81 | SIMP: (1764) implies:
% 299.43/67.81 | (1765) all_1646_22 = all_1190_2
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1747), (1748) imply:
% 299.43/67.81 | (1766) all_1644_21 = all_1639_19
% 299.43/67.81 |
% 299.43/67.81 | SIMP: (1766) implies:
% 299.43/67.81 | (1767) all_1644_21 = all_1639_19
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1748), (1765) imply:
% 299.43/67.81 | (1768) all_1639_19 = all_1190_2
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1741), (1763) imply:
% 299.43/67.81 | (1769) all_1639_5 = all_1626_13
% 299.43/67.81 |
% 299.43/67.81 | SIMP: (1769) implies:
% 299.43/67.81 | (1770) all_1639_5 = all_1626_13
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1761), (1767) imply:
% 299.43/67.81 | (1771) all_1639_19 = all_1631_13
% 299.43/67.81 |
% 299.43/67.81 | SIMP: (1771) implies:
% 299.43/67.81 | (1772) all_1639_19 = all_1631_13
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1758), (1770) imply:
% 299.43/67.81 | (1773) all_1631_20 = all_1626_13
% 299.43/67.81 |
% 299.43/67.81 | SIMP: (1773) implies:
% 299.43/67.81 | (1774) all_1631_20 = all_1626_13
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1768), (1772) imply:
% 299.43/67.81 | (1775) all_1631_13 = all_1190_2
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1759), (1774) imply:
% 299.43/67.81 | (1776) all_1626_13 = all_1007_0
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1755), (1756) imply:
% 299.43/67.81 | (1777) all_1584_4 = all_1505_3
% 299.43/67.81 |
% 299.43/67.81 | SIMP: (1777) implies:
% 299.43/67.81 | (1778) all_1584_4 = all_1505_3
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1754), (1778) imply:
% 299.43/67.81 | (1779) all_1566_4 = all_1505_3
% 299.43/67.81 |
% 299.43/67.81 | SIMP: (1779) implies:
% 299.43/67.81 | (1780) all_1566_4 = all_1505_3
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1753), (1780) imply:
% 299.43/67.81 | (1781) all_1534_3 = all_1505_3
% 299.43/67.81 |
% 299.43/67.81 | SIMP: (1781) implies:
% 299.43/67.81 | (1782) all_1534_3 = all_1505_3
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1770), (1776) imply:
% 299.43/67.81 | (1783) all_1639_5 = all_1007_0
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1761), (1775) imply:
% 299.43/67.81 | (1784) all_1644_21 = all_1190_2
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1763), (1776) imply:
% 299.43/67.81 | (1785) all_1644_6 = all_1007_0
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1743), (1776) imply:
% 299.43/67.81 | (1786) all_1648_7 = all_1007_0
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1752), (1775) imply:
% 299.43/67.81 | (1787) all_1650_15 = all_1190_2
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (1577), (1744) imply:
% 299.43/67.81 | (1788) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_735_0,
% 299.43/67.81 | all_1007_0) = all_1650_1
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (1578), (1786) imply:
% 299.43/67.81 | (1789) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_735_0,
% 299.43/67.81 | all_1007_0) = all_1648_6
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (1579), (1785) imply:
% 299.43/67.81 | (1790) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_735_0,
% 299.43/67.81 | all_1007_0) = all_1644_5
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (1580), (1783) imply:
% 299.43/67.81 | (1791) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_735_0,
% 299.43/67.81 | all_1007_0) = all_1639_4
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (1581), (1759) imply:
% 299.43/67.81 | (1792) c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, all_735_0,
% 299.43/67.81 | all_1007_0) = all_1631_19
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (705), (1749) imply:
% 299.43/67.81 | (1793) hAPP(all_1648_19, all_1190_2) = all_1648_4
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (689), (1765) imply:
% 299.43/67.81 | (1794) hAPP(all_1646_19, all_1190_2) = all_1646_2
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (633), (1775) imply:
% 299.43/67.81 | (1795) hAPP(all_1631_10, all_1190_2) = all_1631_9
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (1592), (1787) imply:
% 299.43/67.81 | (1796) hAPP(all_1288_1, all_1190_2) = all_1650_14
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (1597), (1749) imply:
% 299.43/67.81 | (1797) hAPP(all_1288_1, all_1190_2) = all_1648_21
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (1602), (1765) imply:
% 299.43/67.81 | (1798) hAPP(all_1288_1, all_1190_2) = all_1646_21
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (1608), (1784) imply:
% 299.43/67.81 | (1799) hAPP(all_1288_1, all_1190_2) = all_1644_20
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (1613), (1768) imply:
% 299.43/67.81 | (1800) hAPP(all_1288_1, all_1190_2) = all_1639_18
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (1617), (1775) imply:
% 299.43/67.81 | (1801) hAPP(all_1288_1, all_1190_2) = all_1631_12
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (1591), (1787) imply:
% 299.43/67.81 | (1802) hAPP(all_1132_0, all_1190_2) = all_1650_8
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (1596), (1749) imply:
% 299.43/67.81 | (1803) hAPP(all_1132_0, all_1190_2) = all_1648_16
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (1601), (1765) imply:
% 299.43/67.81 | (1804) hAPP(all_1132_0, all_1190_2) = all_1646_16
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (1607), (1784) imply:
% 299.43/67.81 | (1805) hAPP(all_1132_0, all_1190_2) = all_1644_15
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (1612), (1768) imply:
% 299.43/67.81 | (1806) hAPP(all_1132_0, all_1190_2) = all_1639_13
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (1616), (1775) imply:
% 299.43/67.81 | (1807) hAPP(all_1132_0, all_1190_2) = all_1631_6
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (1625), (1756) imply:
% 299.43/67.81 | (1808) hAPP(all_980_2, all_1505_3) = all_1626_5
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (1626), (1776) imply:
% 299.43/67.81 | (1809) hAPP(all_980_2, all_1007_0) = all_1626_12
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (1629), (1778) imply:
% 299.43/67.81 | (1810) hAPP(all_980_2, all_1505_3) = all_1584_3
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (1631), (1780) imply:
% 299.43/67.81 | (1811) hAPP(all_980_2, all_1505_3) = all_1566_3
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (1634), (1782) imply:
% 299.43/67.81 | (1812) hAPP(all_980_2, all_1505_3) = all_1534_2
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (602), (1776) imply:
% 299.43/67.81 | (1813) $i(all_1007_0)
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (524), (1782) imply:
% 299.43/67.81 | (1814) $i(all_1505_3)
% 299.43/67.81 |
% 299.43/67.81 | GROUND_INST: instantiating (185) with all_1505_2, all_1584_3, all_1505_3,
% 299.43/67.81 | all_980_2, simplifying with (1636), (1810) gives:
% 299.43/67.81 | (1815) all_1584_3 = all_1505_2
% 299.43/67.81 |
% 299.43/67.81 | GROUND_INST: instantiating (185) with all_1534_2, all_1584_3, all_1505_3,
% 299.43/67.81 | all_980_2, simplifying with (1810), (1812) gives:
% 299.43/67.81 | (1816) all_1584_3 = all_1534_2
% 299.43/67.81 |
% 299.43/67.81 | GROUND_INST: instantiating (185) with all_1584_3, all_1626_5, all_1505_3,
% 299.43/67.81 | all_980_2, simplifying with (1808), (1810) gives:
% 299.43/67.81 | (1817) all_1626_5 = all_1584_3
% 299.43/67.81 |
% 299.43/67.81 | GROUND_INST: instantiating (185) with all_1566_3, all_1626_5, all_1505_3,
% 299.43/67.81 | all_980_2, simplifying with (1808), (1811) gives:
% 299.43/67.81 | (1818) all_1626_5 = all_1566_3
% 299.43/67.81 |
% 299.43/67.81 | GROUND_INST: instantiating (185) with all_1639_13, all_1646_16, all_1190_2,
% 299.43/67.81 | all_1132_0, simplifying with (1804), (1806) gives:
% 299.43/67.81 | (1819) all_1646_16 = all_1639_13
% 299.43/67.81 |
% 299.43/67.81 | GROUND_INST: instantiating (185) with all_1646_16, all_1648_16, all_1190_2,
% 299.43/67.81 | all_1132_0, simplifying with (1803), (1804) gives:
% 299.43/67.81 | (1820) all_1648_16 = all_1646_16
% 299.43/67.81 |
% 299.43/67.81 | GROUND_INST: instantiating (185) with all_1644_15, all_1648_16, all_1190_2,
% 299.43/67.81 | all_1132_0, simplifying with (1803), (1805) gives:
% 299.43/67.81 | (1821) all_1648_16 = all_1644_15
% 299.43/67.81 |
% 299.43/67.81 | GROUND_INST: instantiating (185) with all_1648_16, all_1650_8, all_1190_2,
% 299.43/67.81 | all_1132_0, simplifying with (1802), (1803) gives:
% 299.43/67.81 | (1822) all_1650_8 = all_1648_16
% 299.43/67.81 |
% 299.43/67.81 | GROUND_INST: instantiating (185) with all_1631_6, all_1650_8, all_1190_2,
% 299.43/67.81 | all_1132_0, simplifying with (1802), (1807) gives:
% 299.43/67.81 | (1823) all_1650_8 = all_1631_6
% 299.43/67.81 |
% 299.43/67.81 | GROUND_INST: instantiating (185) with all_1646_21, all_1648_21, all_1190_2,
% 299.43/67.81 | all_1288_1, simplifying with (1797), (1798) gives:
% 299.43/67.81 | (1824) all_1648_21 = all_1646_21
% 299.43/67.81 |
% 299.43/67.81 | GROUND_INST: instantiating (185) with all_1644_20, all_1648_21, all_1190_2,
% 299.43/67.81 | all_1288_1, simplifying with (1797), (1799) gives:
% 299.43/67.81 | (1825) all_1648_21 = all_1644_20
% 299.43/67.81 |
% 299.43/67.81 | GROUND_INST: instantiating (185) with all_1631_12, all_1648_21, all_1190_2,
% 299.43/67.81 | all_1288_1, simplifying with (1797), (1801) gives:
% 299.43/67.81 | (1826) all_1648_21 = all_1631_12
% 299.43/67.81 |
% 299.43/67.81 | GROUND_INST: instantiating (185) with all_1646_21, all_1650_14, all_1190_2,
% 299.43/67.81 | all_1288_1, simplifying with (1796), (1798) gives:
% 299.43/67.81 | (1827) all_1650_14 = all_1646_21
% 299.43/67.81 |
% 299.43/67.81 | GROUND_INST: instantiating (185) with all_1639_18, all_1650_14, all_1190_2,
% 299.43/67.81 | all_1288_1, simplifying with (1796), (1800) gives:
% 299.43/67.81 | (1828) all_1650_14 = all_1639_18
% 299.43/67.81 |
% 299.43/67.81 | GROUND_INST: instantiating (191) with all_1631_19, all_1644_5, all_1007_0,
% 299.43/67.81 | all_735_0, tc_RealDef_Oreal, simplifying with (1790), (1792)
% 299.43/67.81 | gives:
% 299.43/67.81 | (1829) all_1644_5 = all_1631_19
% 299.43/67.81 |
% 299.43/67.81 | GROUND_INST: instantiating (191) with all_1648_6, all_1650_1, all_1007_0,
% 299.43/67.81 | all_735_0, tc_RealDef_Oreal, simplifying with (1788), (1789)
% 299.43/67.81 | gives:
% 299.43/67.81 | (1830) all_1650_1 = all_1648_6
% 299.43/67.81 |
% 299.43/67.81 | GROUND_INST: instantiating (191) with all_1644_5, all_1650_1, all_1007_0,
% 299.43/67.81 | all_735_0, tc_RealDef_Oreal, simplifying with (1788), (1790)
% 299.43/67.81 | gives:
% 299.43/67.81 | (1831) all_1650_1 = all_1644_5
% 299.43/67.81 |
% 299.43/67.81 | GROUND_INST: instantiating (191) with all_1639_4, all_1650_1, all_1007_0,
% 299.43/67.81 | all_735_0, tc_RealDef_Oreal, simplifying with (1788), (1791)
% 299.43/67.81 | gives:
% 299.43/67.81 | (1832) all_1650_1 = all_1639_4
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1830), (1832) imply:
% 299.43/67.81 | (1833) all_1648_6 = all_1639_4
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1830), (1831) imply:
% 299.43/67.81 | (1834) all_1648_6 = all_1644_5
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1822), (1823) imply:
% 299.43/67.81 | (1835) all_1648_16 = all_1631_6
% 299.43/67.81 |
% 299.43/67.81 | SIMP: (1835) implies:
% 299.43/67.81 | (1836) all_1648_16 = all_1631_6
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1827), (1828) imply:
% 299.43/67.81 | (1837) all_1646_21 = all_1639_18
% 299.43/67.81 |
% 299.43/67.81 | SIMP: (1837) implies:
% 299.43/67.81 | (1838) all_1646_21 = all_1639_18
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1833), (1834) imply:
% 299.43/67.81 | (1839) all_1644_5 = all_1639_4
% 299.43/67.81 |
% 299.43/67.81 | SIMP: (1839) implies:
% 299.43/67.81 | (1840) all_1644_5 = all_1639_4
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1821), (1836) imply:
% 299.43/67.81 | (1841) all_1644_15 = all_1631_6
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1820), (1821) imply:
% 299.43/67.81 | (1842) all_1646_16 = all_1644_15
% 299.43/67.81 |
% 299.43/67.81 | SIMP: (1842) implies:
% 299.43/67.81 | (1843) all_1646_16 = all_1644_15
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1825), (1826) imply:
% 299.43/67.81 | (1844) all_1644_20 = all_1631_12
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1824), (1825) imply:
% 299.43/67.81 | (1845) all_1646_21 = all_1644_20
% 299.43/67.81 |
% 299.43/67.81 | SIMP: (1845) implies:
% 299.43/67.81 | (1846) all_1646_21 = all_1644_20
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1819), (1843) imply:
% 299.43/67.81 | (1847) all_1644_15 = all_1639_13
% 299.43/67.81 |
% 299.43/67.81 | SIMP: (1847) implies:
% 299.43/67.81 | (1848) all_1644_15 = all_1639_13
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1838), (1846) imply:
% 299.43/67.81 | (1849) all_1644_20 = all_1639_18
% 299.43/67.81 |
% 299.43/67.81 | SIMP: (1849) implies:
% 299.43/67.81 | (1850) all_1644_20 = all_1639_18
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1829), (1840) imply:
% 299.43/67.81 | (1851) all_1639_4 = all_1631_19
% 299.43/67.81 |
% 299.43/67.81 | SIMP: (1851) implies:
% 299.43/67.81 | (1852) all_1639_4 = all_1631_19
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1841), (1848) imply:
% 299.43/67.81 | (1853) all_1639_13 = all_1631_6
% 299.43/67.81 |
% 299.43/67.81 | SIMP: (1853) implies:
% 299.43/67.81 | (1854) all_1639_13 = all_1631_6
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1844), (1850) imply:
% 299.43/67.81 | (1855) all_1639_18 = all_1631_12
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1817), (1818) imply:
% 299.43/67.81 | (1856) all_1584_3 = all_1566_3
% 299.43/67.81 |
% 299.43/67.81 | SIMP: (1856) implies:
% 299.43/67.81 | (1857) all_1584_3 = all_1566_3
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1816), (1857) imply:
% 299.43/67.81 | (1858) all_1566_3 = all_1534_2
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1815), (1857) imply:
% 299.43/67.81 | (1859) all_1566_3 = all_1505_2
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1858), (1859) imply:
% 299.43/67.81 | (1860) all_1534_2 = all_1505_2
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1818), (1859) imply:
% 299.43/67.81 | (1861) all_1626_5 = all_1505_2
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1838), (1855) imply:
% 299.43/67.81 | (1862) all_1646_21 = all_1631_12
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1819), (1854) imply:
% 299.43/67.81 | (1863) all_1646_16 = all_1631_6
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1833), (1852) imply:
% 299.43/67.81 | (1864) all_1648_6 = all_1631_19
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1828), (1855) imply:
% 299.43/67.81 | (1865) all_1650_14 = all_1631_12
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (718), (1864) imply:
% 299.43/67.81 | (1866) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1631_19) =
% 299.43/67.81 | all_1648_5
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (725), (1865) imply:
% 299.43/67.81 | (1867) hAPP(all_1631_12, v_k____) = all_1650_13
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (709), (1836) imply:
% 299.43/67.81 | (1868) hAPP(all_1648_3, all_1631_6) = all_1648_2
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (704), (1826) imply:
% 299.43/67.81 | (1869) hAPP(all_1631_12, v_k____) = all_1648_20
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (691), (1863) imply:
% 299.43/67.81 | (1870) hAPP(all_1646_1, all_1631_6) = all_1646_0
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (688), (1862) imply:
% 299.43/67.81 | (1871) hAPP(all_1631_12, v_k____) = all_1646_20
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (671), (1844) imply:
% 299.43/67.81 | (1872) hAPP(all_1631_12, v_k____) = all_1644_19
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (651), (1855) imply:
% 299.43/67.81 | (1873) hAPP(all_1631_12, v_k____) = all_1639_17
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (614), (1861) imply:
% 299.43/67.81 | (1874) hAPP(all_1505_2, v_m____) = all_1626_4
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (584), (1815) imply:
% 299.43/67.81 | (1875) hAPP(all_1505_2, v_m____) = all_1584_2
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (563), (1859) imply:
% 299.43/67.81 | (1876) hAPP(all_1505_2, v_m____) = all_1566_2
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (529), (1860) imply:
% 299.43/67.81 | (1877) hAPP(all_1505_2, v_m____) = all_1534_1
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (646), (1852) imply:
% 299.43/67.81 | (1878) $i(all_1631_19)
% 299.43/67.81 |
% 299.43/67.81 | GROUND_INST: instantiating (185) with all_1534_1, all_1566_2, v_m____,
% 299.43/67.81 | all_1505_2, simplifying with (1876), (1877) gives:
% 299.43/67.81 | (1879) all_1566_2 = all_1534_1
% 299.43/67.81 |
% 299.43/67.81 | GROUND_INST: instantiating (185) with all_1505_1, all_1626_4, v_m____,
% 299.43/67.81 | all_1505_2, simplifying with (509), (1874) gives:
% 299.43/67.81 | (1880) all_1626_4 = all_1505_1
% 299.43/67.81 |
% 299.43/67.81 | GROUND_INST: instantiating (185) with all_1584_2, all_1626_4, v_m____,
% 299.43/67.81 | all_1505_2, simplifying with (1874), (1875) gives:
% 299.43/67.81 | (1881) all_1626_4 = all_1584_2
% 299.43/67.81 |
% 299.43/67.81 | GROUND_INST: instantiating (185) with all_1566_2, all_1626_4, v_m____,
% 299.43/67.81 | all_1505_2, simplifying with (1874), (1876) gives:
% 299.43/67.81 | (1882) all_1626_4 = all_1566_2
% 299.43/67.81 |
% 299.43/67.81 | GROUND_INST: instantiating (185) with all_1644_19, all_1646_20, v_k____,
% 299.43/67.81 | all_1631_12, simplifying with (1871), (1872) gives:
% 299.43/67.81 | (1883) all_1646_20 = all_1644_19
% 299.43/67.81 |
% 299.43/67.81 | GROUND_INST: instantiating (185) with all_1644_19, all_1648_20, v_k____,
% 299.43/67.81 | all_1631_12, simplifying with (1869), (1872) gives:
% 299.43/67.81 | (1884) all_1648_20 = all_1644_19
% 299.43/67.81 |
% 299.43/67.81 | GROUND_INST: instantiating (185) with all_1639_17, all_1648_20, v_k____,
% 299.43/67.81 | all_1631_12, simplifying with (1869), (1873) gives:
% 299.43/67.81 | (1885) all_1648_20 = all_1639_17
% 299.43/67.81 |
% 299.43/67.81 | GROUND_INST: instantiating (185) with all_1631_11, all_1650_13, v_k____,
% 299.43/67.81 | all_1631_12, simplifying with (632), (1867) gives:
% 299.43/67.81 | (1886) all_1650_13 = all_1631_11
% 299.43/67.81 |
% 299.43/67.81 | GROUND_INST: instantiating (185) with all_1646_20, all_1650_13, v_k____,
% 299.43/67.81 | all_1631_12, simplifying with (1867), (1871) gives:
% 299.43/67.81 | (1887) all_1650_13 = all_1646_20
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1886), (1887) imply:
% 299.43/67.81 | (1888) all_1646_20 = all_1631_11
% 299.43/67.81 |
% 299.43/67.81 | SIMP: (1888) implies:
% 299.43/67.81 | (1889) all_1646_20 = all_1631_11
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1884), (1885) imply:
% 299.43/67.81 | (1890) all_1644_19 = all_1639_17
% 299.43/67.81 |
% 299.43/67.81 | SIMP: (1890) implies:
% 299.43/67.81 | (1891) all_1644_19 = all_1639_17
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1883), (1889) imply:
% 299.43/67.81 | (1892) all_1644_19 = all_1631_11
% 299.43/67.81 |
% 299.43/67.81 | SIMP: (1892) implies:
% 299.43/67.81 | (1893) all_1644_19 = all_1631_11
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1891), (1893) imply:
% 299.43/67.81 | (1894) all_1639_17 = all_1631_11
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1880), (1881) imply:
% 299.43/67.81 | (1895) all_1584_2 = all_1505_1
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1881), (1882) imply:
% 299.43/67.81 | (1896) all_1584_2 = all_1566_2
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1895), (1896) imply:
% 299.43/67.81 | (1897) all_1566_2 = all_1505_1
% 299.43/67.81 |
% 299.43/67.81 | SIMP: (1897) implies:
% 299.43/67.81 | (1898) all_1566_2 = all_1505_1
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1879), (1898) imply:
% 299.43/67.81 | (1899) all_1534_1 = all_1505_1
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1885), (1894) imply:
% 299.43/67.81 | (1900) all_1648_20 = all_1631_11
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (592), (1895) imply:
% 299.43/67.81 | (1901) c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, all_1505_1) =
% 299.43/67.81 | all_1584_1
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (536), (1899) imply:
% 299.43/67.81 | (1902) c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, all_1505_1) =
% 299.43/67.81 | all_1534_0
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (1732), (1880) imply:
% 299.43/67.81 | (1903) hAPP(all_1291_5, all_1505_1) = all_1626_3
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (1736), (1898) imply:
% 299.43/67.81 | (1904) hAPP(all_1291_5, all_1505_1) = all_1566_1
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (1593), (1886) imply:
% 299.43/67.81 | (1905) hAPP(all_1009_1, all_1631_11) = all_1650_12
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (1599), (1900) imply:
% 299.43/67.81 | (1906) hAPP(all_1009_1, all_1631_11) = all_1648_19
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (1604), (1889) imply:
% 299.43/67.81 | (1907) hAPP(all_1009_1, all_1631_11) = all_1646_19
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (1609), (1893) imply:
% 299.43/67.81 | (1908) hAPP(all_1009_1, all_1631_11) = all_1644_18
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (1614), (1894) imply:
% 299.43/67.81 | (1909) hAPP(all_1009_1, all_1631_11) = all_1639_16
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (525), (1899) imply:
% 299.43/67.81 | (1910) $i(all_1505_1)
% 299.43/67.81 |
% 299.43/67.81 | GROUND_INST: instantiating (185) with all_1631_10, all_1644_18, all_1631_11,
% 299.43/67.81 | all_1009_1, simplifying with (1619), (1908) gives:
% 299.43/67.81 | (1911) all_1644_18 = all_1631_10
% 299.43/67.81 |
% 299.43/67.81 | GROUND_INST: instantiating (185) with all_1644_18, all_1646_19, all_1631_11,
% 299.43/67.81 | all_1009_1, simplifying with (1907), (1908) gives:
% 299.43/67.81 | (1912) all_1646_19 = all_1644_18
% 299.43/67.81 |
% 299.43/67.81 | GROUND_INST: instantiating (185) with all_1646_19, all_1648_19, all_1631_11,
% 299.43/67.81 | all_1009_1, simplifying with (1906), (1907) gives:
% 299.43/67.81 | (1913) all_1648_19 = all_1646_19
% 299.43/67.81 |
% 299.43/67.81 | GROUND_INST: instantiating (185) with all_1648_19, all_1650_12, all_1631_11,
% 299.43/67.81 | all_1009_1, simplifying with (1905), (1906) gives:
% 299.43/67.81 | (1914) all_1650_12 = all_1648_19
% 299.43/67.81 |
% 299.43/67.81 | GROUND_INST: instantiating (185) with all_1639_16, all_1650_12, all_1631_11,
% 299.43/67.81 | all_1009_1, simplifying with (1905), (1909) gives:
% 299.43/67.81 | (1915) all_1650_12 = all_1639_16
% 299.43/67.81 |
% 299.43/67.81 | GROUND_INST: instantiating (185) with all_1566_1, all_1626_3, all_1505_1,
% 299.43/67.81 | all_1291_5, simplifying with (1903), (1904) gives:
% 299.43/67.81 | (1916) all_1626_3 = all_1566_1
% 299.43/67.81 |
% 299.43/67.81 | GROUND_INST: instantiating (187) with all_1505_0, all_1584_1, all_1505_1,
% 299.43/67.81 | tc_RealDef_Oreal, simplifying with (515), (1901) gives:
% 299.43/67.81 | (1917) all_1584_1 = all_1505_0
% 299.43/67.81 |
% 299.43/67.81 | GROUND_INST: instantiating (187) with all_1534_0, all_1584_1, all_1505_1,
% 299.43/67.81 | tc_RealDef_Oreal, simplifying with (1901), (1902) gives:
% 299.43/67.81 | (1918) all_1584_1 = all_1534_0
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1914), (1915) imply:
% 299.43/67.81 | (1919) all_1648_19 = all_1639_16
% 299.43/67.81 |
% 299.43/67.81 | SIMP: (1919) implies:
% 299.43/67.81 | (1920) all_1648_19 = all_1639_16
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1913), (1920) imply:
% 299.43/67.81 | (1921) all_1646_19 = all_1639_16
% 299.43/67.81 |
% 299.43/67.81 | SIMP: (1921) implies:
% 299.43/67.81 | (1922) all_1646_19 = all_1639_16
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1912), (1922) imply:
% 299.43/67.81 | (1923) all_1644_18 = all_1639_16
% 299.43/67.81 |
% 299.43/67.81 | SIMP: (1923) implies:
% 299.43/67.81 | (1924) all_1644_18 = all_1639_16
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1911), (1924) imply:
% 299.43/67.81 | (1925) all_1639_16 = all_1631_10
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1917), (1918) imply:
% 299.43/67.81 | (1926) all_1534_0 = all_1505_0
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1922), (1925) imply:
% 299.43/67.81 | (1927) all_1646_19 = all_1631_10
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1920), (1925) imply:
% 299.43/67.81 | (1928) all_1648_19 = all_1631_10
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (1793), (1928) imply:
% 299.43/67.81 | (1929) hAPP(all_1631_10, all_1190_2) = all_1648_4
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (1794), (1927) imply:
% 299.43/67.81 | (1930) hAPP(all_1631_10, all_1190_2) = all_1646_2
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (610), (1916) imply:
% 299.43/67.81 | (1931) hAPP(all_1626_12, all_1566_1) = all_1626_2
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (603), (1916) imply:
% 299.43/67.81 | (1932) $i(all_1566_1)
% 299.43/67.81 |
% 299.43/67.81 | GROUND_INST: instantiating (185) with all_1631_9, all_1648_4, all_1190_2,
% 299.43/67.81 | all_1631_10, simplifying with (1795), (1929) gives:
% 299.43/67.81 | (1933) all_1648_4 = all_1631_9
% 299.43/67.81 |
% 299.43/67.81 | GROUND_INST: instantiating (185) with all_1646_2, all_1648_4, all_1190_2,
% 299.43/67.81 | all_1631_10, simplifying with (1929), (1930) gives:
% 299.43/67.81 | (1934) all_1648_4 = all_1646_2
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1933), (1934) imply:
% 299.43/67.81 | (1935) all_1646_2 = all_1631_9
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (1598), (1933) imply:
% 299.43/67.81 | (1936) hAPP(all_1009_1, all_1631_9) = all_1648_3
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (1603), (1935) imply:
% 299.43/67.81 | (1937) hAPP(all_1009_1, all_1631_9) = all_1646_1
% 299.43/67.81 |
% 299.43/67.81 | GROUND_INST: instantiating (185) with all_1631_8, all_1648_3, all_1631_9,
% 299.43/67.81 | all_1009_1, simplifying with (1618), (1936) gives:
% 299.43/67.81 | (1938) all_1648_3 = all_1631_8
% 299.43/67.81 |
% 299.43/67.81 | GROUND_INST: instantiating (185) with all_1646_1, all_1648_3, all_1631_9,
% 299.43/67.81 | all_1009_1, simplifying with (1936), (1937) gives:
% 299.43/67.81 | (1939) all_1648_3 = all_1646_1
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1938), (1939) imply:
% 299.43/67.81 | (1940) all_1646_1 = all_1631_8
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (1868), (1938) imply:
% 299.43/67.81 | (1941) hAPP(all_1631_8, all_1631_6) = all_1648_2
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (1870), (1940) imply:
% 299.43/67.81 | (1942) hAPP(all_1631_8, all_1631_6) = all_1646_0
% 299.43/67.81 |
% 299.43/67.81 | GROUND_INST: instantiating (185) with all_1631_5, all_1648_2, all_1631_6,
% 299.43/67.81 | all_1631_8, simplifying with (634), (1941) gives:
% 299.43/67.81 | (1943) all_1648_2 = all_1631_5
% 299.43/67.81 |
% 299.43/67.81 | GROUND_INST: instantiating (185) with all_1646_0, all_1648_2, all_1631_6,
% 299.43/67.81 | all_1631_8, simplifying with (1941), (1942) gives:
% 299.43/67.81 | (1944) all_1648_2 = all_1646_0
% 299.43/67.81 |
% 299.43/67.81 | COMBINE_EQS: (1943), (1944) imply:
% 299.43/67.81 | (1945) all_1646_0 = all_1631_5
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (714), (1943) imply:
% 299.43/67.81 | (1946) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1631_5) =
% 299.43/67.81 | all_1648_1
% 299.43/67.81 |
% 299.43/67.81 | GROUND_INST: instantiating (186) with all_1631_1, all_1648_1, all_1631_5,
% 299.43/67.81 | tc_Complex_Ocomplex, simplifying with (640), (1946) gives:
% 299.43/67.81 | (1947) all_1648_1 = all_1631_1
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (713), (1947) imply:
% 299.43/67.81 | (1948) c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1648_5,
% 299.43/67.81 | all_1631_1) = all_1648_0
% 299.43/67.81 |
% 299.43/67.81 | REDUCE: (698), (1947) imply:
% 299.43/67.81 | (1949) $i(all_1631_1)
% 299.43/67.81 |
% 299.43/67.81 | GROUND_INST: instantiating (fact_zero__le__one) with tc_RealDef_Oreal,
% 299.43/67.81 | all_735_0, simplifying with (163), (174), (193) gives:
% 299.43/67.82 | (1950) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.82 | $i(v0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.82 | all_735_0))
% 299.43/67.82 |
% 299.43/67.82 | GROUND_INST: instantiating (fact_zero__less__one) with tc_RealDef_Oreal,
% 299.43/67.82 | all_735_0, simplifying with (163), (174), (193) gives:
% 299.43/67.82 | (1951) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.82 | $i(v0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.82 | all_735_0))
% 299.43/67.82 |
% 299.43/67.82 | GROUND_INST: instantiating (fact_not__one__le__zero) with tc_RealDef_Oreal,
% 299.43/67.82 | all_735_0, simplifying with (163), (174), (193) gives:
% 299.43/67.82 | (1952) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.82 | $i(v0) & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.82 | all_735_0, v0))
% 299.43/67.82 |
% 299.43/67.82 | GROUND_INST: instantiating (fact_not__one__less__zero) with tc_RealDef_Oreal,
% 299.43/67.82 | all_735_0, simplifying with (163), (174), (193) gives:
% 299.43/67.82 | (1953) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.82 | $i(v0) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 299.43/67.82 | all_735_0, v0))
% 299.43/67.82 |
% 299.43/67.82 | GROUND_INST: instantiating (fact_field__power__not__zero) with all_891_1,
% 299.43/67.82 | all_1132_1, tc_RealDef_Oreal, all_1007_2, all_1505_6, all_1505_3,
% 299.43/67.82 | simplifying with (158), (174), (280), (1635), (1643), (1738),
% 299.43/67.82 | (1740) gives:
% 299.43/67.82 | (1954) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.82 | $i(v0) & ( ~ (v0 = all_1505_3) | all_1505_3 = all_1132_1))
% 299.43/67.82 |
% 299.43/67.82 | GROUND_INST: instantiating (486) with all_891_1, all_1132_1, tc_RealDef_Oreal,
% 299.43/67.82 | all_1007_2, all_1505_6, all_1505_3, simplifying with (165),
% 299.43/67.82 | (167), (171), (172), (174), (280), (1635), (1643), (1738), (1740)
% 299.43/67.82 | gives:
% 299.43/67.82 | (1955) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.82 | $i(v0) & ( ~ (v0 = all_1505_3) | (all_1505_3 = all_1132_1 & ~
% 299.43/67.82 | (all_1471_0 = all_891_1))) & ( ~ (v0 = all_1132_1) |
% 299.43/67.82 | all_1505_3 = all_1132_1 | all_1471_0 = all_891_1))
% 299.43/67.82 |
% 299.43/67.82 | GROUND_INST: instantiating (fact_zero__le__power) with all_891_1, all_1132_1,
% 299.43/67.82 | tc_RealDef_Oreal, all_1007_2, all_1505_6, all_1505_3, simplifying
% 299.43/67.82 | with (163), (174), (280), (1635), (1643), (1738), (1740) gives:
% 299.43/67.82 | (1956) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.82 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.82 | v0, all_1132_1) |
% 299.43/67.82 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.82 | all_1505_3)))
% 299.43/67.82 |
% 299.43/67.82 | GROUND_INST: instantiating (fact_zero__less__power) with all_891_1,
% 299.43/67.82 | all_1132_1, tc_RealDef_Oreal, all_1007_2, all_1505_6, all_1505_3,
% 299.43/67.82 | simplifying with (163), (174), (280), (1635), (1643), (1738),
% 299.43/67.82 | (1740) gives:
% 299.43/67.82 | (1957) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.82 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.82 | all_1132_1) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 299.43/67.82 | v0, all_1505_3)))
% 299.43/67.82 |
% 299.43/67.82 | GROUND_INST: instantiating (fact_field__power__not__zero) with v_k____,
% 299.43/67.82 | v_t____, tc_RealDef_Oreal, all_1007_2, all_1007_1, all_1007_0,
% 299.43/67.82 | simplifying with (158), (174), (175), (176), (278), (279), (280)
% 299.43/67.82 | gives:
% 299.43/67.82 | (1958) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.82 | $i(v0) & ( ~ (v0 = all_1007_0) | all_1007_0 = v_t____))
% 299.43/67.82 |
% 299.43/67.82 | GROUND_INST: instantiating (486) with v_k____, v_t____, tc_RealDef_Oreal,
% 299.43/67.82 | all_1007_2, all_1007_1, all_1007_0, simplifying with (165),
% 299.43/67.82 | (167), (171), (172), (174), (175), (176), (278), (279), (280)
% 299.43/67.82 | gives:
% 299.43/67.82 | (1959) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.82 | $i(v0) & ( ~ (v0 = all_1007_0) | (all_1007_0 = v_t____ & ~
% 299.43/67.82 | (all_1471_0 = v_k____))) & ( ~ (v0 = v_t____) | all_1471_0 =
% 299.43/67.82 | v_k____ | all_1007_0 = v_t____))
% 299.43/67.82 |
% 299.43/67.82 | GROUND_INST: instantiating (fact_zero__le__power) with v_k____, v_t____,
% 299.43/67.82 | tc_RealDef_Oreal, all_1007_2, all_1007_1, all_1007_0, simplifying
% 299.43/67.82 | with (163), (174), (175), (176), (278), (279), (280) gives:
% 299.43/67.82 | (1960) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.82 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.82 | v0, v_t____) |
% 299.43/67.82 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.82 | all_1007_0)))
% 299.43/67.82 |
% 299.43/67.82 | GROUND_INST: instantiating (fact_add__nonneg__nonneg) with all_1631_1,
% 299.43/67.82 | all_1631_2, tc_RealDef_Oreal, all_1631_0, simplifying with (156),
% 299.43/67.82 | (174), (624), (639), (1949) gives:
% 299.43/67.82 | (1961) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.82 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.82 | v0, all_1631_1) | ~
% 299.43/67.82 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.82 | all_1631_2) |
% 299.43/67.82 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.82 | all_1631_0)))
% 299.43/67.82 |
% 299.43/67.82 | GROUND_INST: instantiating (fact_add__nonneg__eq__0__iff) with all_1631_1,
% 299.43/67.82 | all_1631_2, tc_RealDef_Oreal, all_1631_0, simplifying with (156),
% 299.43/67.82 | (174), (624), (639), (1949) gives:
% 299.43/67.82 | (1962) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.82 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.82 | v0, all_1631_1) | ~
% 299.43/67.82 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.82 | all_1631_2) | (( ~ (v0 = all_1631_0) | (all_1631_0 =
% 299.43/67.82 | all_1631_2 & all_1631_1 = all_1631_2)) & ( ~ (v0 =
% 299.43/67.82 | all_1631_2) | ~ (all_1631_1 = all_1631_2) | all_1631_0 =
% 299.43/67.82 | all_1631_2))))
% 299.43/67.82 |
% 299.43/67.82 | GROUND_INST: instantiating (fact_add__nonneg__pos) with all_1631_1,
% 299.43/67.82 | all_1631_2, tc_RealDef_Oreal, all_1631_0, simplifying with (156),
% 299.43/67.82 | (174), (624), (639), (1949) gives:
% 299.43/67.82 | (1963) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.82 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.82 | v0, all_1631_2) | ~
% 299.43/67.82 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_1631_1)
% 299.43/67.82 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.82 | all_1631_0)))
% 299.43/67.82 |
% 299.43/67.82 | GROUND_INST: instantiating (fact_add__pos__nonneg) with all_1631_1,
% 299.43/67.82 | all_1631_2, tc_RealDef_Oreal, all_1631_0, simplifying with (156),
% 299.43/67.82 | (174), (624), (639), (1949) gives:
% 299.43/67.82 | (1964) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.82 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.82 | v0, all_1631_1) | ~
% 299.43/67.82 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_1631_2)
% 299.43/67.82 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.82 | all_1631_0)))
% 299.43/67.82 |
% 299.43/67.82 | GROUND_INST: instantiating (fact_add__nonpos__nonpos) with all_1631_1,
% 299.43/67.82 | all_1631_2, tc_RealDef_Oreal, all_1631_0, simplifying with (156),
% 299.43/67.82 | (174), (624), (639), (1949) gives:
% 299.43/67.82 | (1965) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.82 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.82 | all_1631_1, v0) | ~
% 299.43/67.82 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1631_2,
% 299.43/67.82 | v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.82 | all_1631_0, v0)))
% 299.43/67.82 |
% 299.43/67.82 | GROUND_INST: instantiating (fact_add__nonpos__neg) with all_1631_1,
% 299.43/67.82 | all_1631_2, tc_RealDef_Oreal, all_1631_0, simplifying with (156),
% 299.43/67.82 | (174), (624), (639), (1949) gives:
% 299.43/67.82 | (1966) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.82 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.82 | all_1631_2, v0) | ~
% 299.43/67.82 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1631_1, v0)
% 299.43/67.82 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1631_0,
% 299.43/67.82 | v0)))
% 299.43/67.82 |
% 299.43/67.82 | GROUND_INST: instantiating (fact_add__neg__nonpos) with all_1631_1,
% 299.43/67.82 | all_1631_2, tc_RealDef_Oreal, all_1631_0, simplifying with (156),
% 299.43/67.82 | (174), (624), (639), (1949) gives:
% 299.43/67.82 | (1967) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.82 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.82 | all_1631_1, v0) | ~
% 299.43/67.82 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1631_2, v0)
% 299.43/67.82 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1631_0,
% 299.43/67.82 | v0)))
% 299.43/67.82 |
% 299.43/67.82 | GROUND_INST: instantiating (fact_add__pos__pos) with all_1631_1, all_1631_2,
% 299.43/67.82 | tc_RealDef_Oreal, all_1631_0, simplifying with (156), (174),
% 299.43/67.82 | (624), (639), (1949) gives:
% 299.43/67.82 | (1968) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.82 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.82 | all_1631_1) | ~
% 299.43/67.82 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_1631_2)
% 299.43/67.82 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.82 | all_1631_0)))
% 299.43/67.82 |
% 299.43/67.82 | GROUND_INST: instantiating (fact_add__neg__neg) with all_1631_1, all_1631_2,
% 299.43/67.82 | tc_RealDef_Oreal, all_1631_0, simplifying with (156), (174),
% 299.43/67.82 | (624), (639), (1949) gives:
% 299.43/67.82 | (1969) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.82 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 299.43/67.82 | all_1631_1, v0) | ~
% 299.43/67.82 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1631_2, v0)
% 299.43/67.82 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1631_0,
% 299.43/67.82 | v0)))
% 299.43/67.82 |
% 299.43/67.82 | GROUND_INST: instantiating (fact_add__nonneg__nonneg) with all_1631_1,
% 299.43/67.82 | all_1648_5, tc_RealDef_Oreal, all_1648_0, simplifying with (156),
% 299.43/67.82 | (174), (697), (1948), (1949) gives:
% 299.43/67.82 | (1970) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.82 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.82 | v0, all_1648_5) | ~
% 299.43/67.82 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.82 | all_1631_1) |
% 299.43/67.82 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.82 | all_1648_0)))
% 299.43/67.82 |
% 299.43/67.82 | GROUND_INST: instantiating (fact_add__nonneg__eq__0__iff) with all_1631_1,
% 299.43/67.82 | all_1648_5, tc_RealDef_Oreal, all_1648_0, simplifying with (156),
% 299.43/67.82 | (174), (697), (1948), (1949) gives:
% 299.43/67.82 | (1971) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.82 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.82 | v0, all_1648_5) | ~
% 299.43/67.82 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.82 | all_1631_1) | (( ~ (v0 = all_1648_0) | (all_1648_0 =
% 299.43/67.82 | all_1631_1 & all_1648_5 = all_1631_1)) & ( ~ (v0 =
% 299.43/67.82 | all_1631_1) | ~ (all_1648_5 = all_1631_1) | all_1648_0 =
% 299.43/67.82 | all_1631_1))))
% 299.43/67.82 |
% 299.43/67.82 | GROUND_INST: instantiating (fact_add__nonneg__pos) with all_1631_1,
% 299.43/67.82 | all_1648_5, tc_RealDef_Oreal, all_1648_0, simplifying with (156),
% 299.43/67.82 | (174), (697), (1948), (1949) gives:
% 299.43/67.82 | (1972) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.82 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.82 | v0, all_1648_5) | ~
% 299.43/67.82 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_1631_1)
% 299.43/67.82 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.82 | all_1648_0)))
% 299.43/67.82 |
% 299.43/67.82 | GROUND_INST: instantiating (fact_add__pos__nonneg) with all_1631_1,
% 299.43/67.82 | all_1648_5, tc_RealDef_Oreal, all_1648_0, simplifying with (156),
% 299.43/67.82 | (174), (697), (1948), (1949) gives:
% 299.43/67.82 | (1973) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.82 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.82 | v0, all_1631_1) | ~
% 299.43/67.82 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_1648_5)
% 299.43/67.82 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.82 | all_1648_0)))
% 299.43/67.82 |
% 299.43/67.82 | GROUND_INST: instantiating (fact_add__nonpos__nonpos) with all_1631_1,
% 299.43/67.82 | all_1648_5, tc_RealDef_Oreal, all_1648_0, simplifying with (156),
% 299.43/67.82 | (174), (697), (1948), (1949) gives:
% 299.43/67.82 | (1974) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.82 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.82 | all_1648_5, v0) | ~
% 299.43/67.82 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1631_1,
% 299.43/67.82 | v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.82 | all_1648_0, v0)))
% 299.43/67.82 |
% 299.43/67.82 | GROUND_INST: instantiating (fact_add__nonpos__neg) with all_1631_1,
% 299.43/67.82 | all_1648_5, tc_RealDef_Oreal, all_1648_0, simplifying with (156),
% 299.43/67.82 | (174), (697), (1948), (1949) gives:
% 299.43/67.82 | (1975) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.82 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.82 | all_1648_5, v0) | ~
% 299.43/67.82 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1631_1, v0)
% 299.43/67.82 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1648_0,
% 299.43/67.82 | v0)))
% 299.43/67.82 |
% 299.43/67.82 | GROUND_INST: instantiating (fact_add__neg__nonpos) with all_1631_1,
% 299.43/67.82 | all_1648_5, tc_RealDef_Oreal, all_1648_0, simplifying with (156),
% 299.43/67.82 | (174), (697), (1948), (1949) gives:
% 299.43/67.82 | (1976) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.82 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.82 | all_1631_1, v0) | ~
% 299.43/67.82 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1648_5, v0)
% 299.43/67.82 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1648_0,
% 299.43/67.82 | v0)))
% 299.43/67.82 |
% 299.43/67.82 | GROUND_INST: instantiating (fact_add__pos__pos) with all_1631_1, all_1648_5,
% 299.43/67.82 | tc_RealDef_Oreal, all_1648_0, simplifying with (156), (174),
% 299.43/67.82 | (697), (1948), (1949) gives:
% 299.43/67.82 | (1977) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.82 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.82 | all_1648_5) | ~
% 299.43/67.82 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_1631_1)
% 299.43/67.82 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.82 | all_1648_0)))
% 299.43/67.82 |
% 299.43/67.82 | GROUND_INST: instantiating (fact_add__neg__neg) with all_1631_1, all_1648_5,
% 299.43/67.82 | tc_RealDef_Oreal, all_1648_0, simplifying with (156), (174),
% 299.43/67.82 | (697), (1948), (1949) gives:
% 299.43/67.82 | (1978) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.82 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 299.43/67.82 | all_1648_5, v0) | ~
% 299.43/67.82 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1631_1, v0)
% 299.43/67.82 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1648_0,
% 299.43/67.82 | v0)))
% 299.43/67.82 |
% 299.43/67.82 | GROUND_INST: instantiating (89) with v_w____, tc_Complex_Ocomplex, all_1132_1,
% 299.43/67.82 | simplifying with (173), (177), (178), (327) gives:
% 299.43/67.82 | (1979) c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, all_1132_1) = all_1132_1
% 299.43/67.82 | & $i(all_1132_1)
% 299.43/67.82 |
% 299.43/67.82 | GROUND_INST: instantiating (fact_mult__less__cancel__left__disj) with
% 299.43/67.82 | all_735_0, all_1566_1, all_1007_0, tc_RealDef_Oreal, all_980_2,
% 299.43/67.82 | all_1626_12, all_1626_2, all_1626_0, simplifying with (160),
% 299.43/67.82 | (174), (267), (1622), (1644), (1809), (1813), (1931), (1932)
% 299.43/67.82 | gives:
% 299.43/67.82 | (1980) ? [v0: $i] : (( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 299.43/67.82 | all_1626_2, all_1626_0) |
% 299.43/67.82 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) &
% 299.43/67.82 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.82 | all_1007_0) &
% 299.43/67.82 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1566_1,
% 299.43/67.82 | all_735_0)) | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 299.43/67.82 | = v0 & $i(v0) &
% 299.43/67.82 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1007_0,
% 299.43/67.82 | v0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 299.43/67.82 | all_735_0, all_1566_1))) &
% 299.43/67.82 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1626_2,
% 299.43/67.82 | all_1626_0) | (( ~
% 299.43/67.82 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1566_1,
% 299.43/67.82 | all_735_0) |
% 299.43/67.82 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0)
% 299.43/67.82 | & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.82 | all_1007_0))) & ( ~
% 299.43/67.82 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_735_0,
% 299.43/67.82 | all_1566_1) |
% 299.43/67.82 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0)
% 299.43/67.82 | & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 299.43/67.82 | all_1007_0, v0))))))
% 299.43/67.82 |
% 299.43/67.82 | GROUND_INST: instantiating (fact_mult__strict__left__mono) with all_1007_0,
% 299.43/67.82 | all_735_0, all_1566_1, tc_RealDef_Oreal, all_980_2, all_1626_12,
% 299.43/67.82 | all_1626_2, all_1626_0, simplifying with (153), (174), (267),
% 299.43/67.82 | (601), (1622), (1644), (1645), (1809), (1813), (1931), (1932)
% 299.43/67.82 | gives:
% 299.43/67.82 | (1981) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.82 | $i(v0) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.82 | all_1007_0))
% 299.43/67.82 |
% 299.43/67.82 | GROUND_INST: instantiating (fact_mult__pos__neg2) with all_1007_0, all_1566_1,
% 299.43/67.82 | tc_RealDef_Oreal, all_980_2, all_1626_12, all_1626_2, simplifying
% 299.43/67.82 | with (153), (174), (267), (1809), (1813), (1931), (1932) gives:
% 299.43/67.82 | (1982) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.82 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.82 | all_1566_1) | ~
% 299.43/67.82 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1007_0, v0)
% 299.43/67.82 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1626_2,
% 299.43/67.82 | v0)))
% 299.43/67.82 |
% 299.43/67.82 | GROUND_INST: instantiating (fact_zero__less__mult__pos) with all_1566_1,
% 299.43/67.82 | all_1007_0, tc_RealDef_Oreal, all_980_2, all_1626_12, all_1626_2,
% 299.43/67.82 | simplifying with (153), (174), (267), (1809), (1813), (1931),
% 299.43/67.82 | (1932) gives:
% 299.43/67.82 | (1983) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.82 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.82 | all_1626_2) | ~
% 299.43/67.82 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_1007_0)
% 299.43/67.82 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.82 | all_1566_1)))
% 299.43/67.82 |
% 299.43/67.82 | GROUND_INST: instantiating (fact_mult__pos__pos) with all_1566_1, all_1007_0,
% 299.43/67.82 | tc_RealDef_Oreal, all_980_2, all_1626_12, all_1626_2, simplifying
% 299.43/67.82 | with (153), (174), (267), (1809), (1813), (1931), (1932) gives:
% 299.43/67.82 | (1984) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.82 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.82 | all_1566_1) | ~
% 299.43/67.82 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_1007_0)
% 299.43/67.82 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.82 | all_1626_2)))
% 299.43/67.82 |
% 299.43/67.82 | GROUND_INST: instantiating (fact_mult__pos__neg) with all_1566_1, all_1007_0,
% 299.43/67.82 | tc_RealDef_Oreal, all_980_2, all_1626_12, all_1626_2, simplifying
% 299.43/67.82 | with (153), (174), (267), (1809), (1813), (1931), (1932) gives:
% 299.43/67.82 | (1985) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.82 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.82 | all_1007_0) | ~
% 299.43/67.82 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1566_1, v0)
% 299.43/67.82 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1626_2,
% 299.43/67.82 | v0)))
% 299.43/67.82 |
% 299.43/67.82 | GROUND_INST: instantiating (fact_mult__nonneg__nonpos2) with all_1007_0,
% 299.43/67.82 | all_1566_1, tc_RealDef_Oreal, all_980_2, all_1626_12, all_1626_2,
% 299.43/67.82 | simplifying with (159), (174), (267), (1809), (1813), (1931),
% 299.43/67.82 | (1932) gives:
% 299.43/67.82 | (1986) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.82 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.82 | v0, all_1566_1) | ~
% 299.43/67.82 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1007_0,
% 299.43/67.82 | v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.82 | all_1626_2, v0)))
% 299.43/67.82 |
% 299.43/67.82 | GROUND_INST: instantiating (fact_mult__nonneg__nonneg) with all_1566_1,
% 299.43/67.82 | all_1007_0, tc_RealDef_Oreal, all_980_2, all_1626_12, all_1626_2,
% 299.43/67.82 | simplifying with (159), (174), (267), (1809), (1813), (1931),
% 299.43/67.82 | (1932) gives:
% 299.43/67.82 | (1987) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.82 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.82 | v0, all_1566_1) | ~
% 299.43/67.82 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.82 | all_1007_0) |
% 299.43/67.82 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.82 | all_1626_2)))
% 299.43/67.82 |
% 299.43/67.82 | GROUND_INST: instantiating (fact_mult__nonneg__nonpos) with all_1566_1,
% 299.43/67.82 | all_1007_0, tc_RealDef_Oreal, all_980_2, all_1626_12, all_1626_2,
% 299.43/67.82 | simplifying with (159), (174), (267), (1809), (1813), (1931),
% 299.43/67.82 | (1932) gives:
% 299.43/67.82 | (1988) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.82 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.82 | v0, all_1007_0) | ~
% 299.43/67.82 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1566_1,
% 299.43/67.82 | v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.82 | all_1626_2, v0)))
% 299.43/67.82 |
% 299.43/67.82 | GROUND_INST: instantiating (fact_split__mult__neg__le) with all_1566_1,
% 299.43/67.82 | all_1007_0, tc_RealDef_Oreal, all_980_2, all_1626_12, all_1626_2,
% 299.43/67.82 | simplifying with (159), (174), (267), (1809), (1813), (1931),
% 299.43/67.82 | (1932) gives:
% 299.43/67.82 | (1989) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.82 | $i(v0) & (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.82 | all_1626_2, v0) | (( ~
% 299.43/67.82 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.82 | all_1566_1) | ~
% 299.43/67.82 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.82 | all_1007_0, v0)) & ( ~
% 299.43/67.82 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.82 | all_1007_0) | ~
% 299.43/67.82 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.82 | all_1566_1, v0)))))
% 299.43/67.82 |
% 299.43/67.82 | GROUND_INST: instantiating (fact_zero__le__mult__iff) with all_1566_1,
% 299.43/67.82 | all_1007_0, tc_RealDef_Oreal, all_980_2, all_1626_12, all_1626_2,
% 299.43/67.82 | simplifying with (160), (174), (267), (1809), (1813), (1931),
% 299.43/67.82 | (1932) gives:
% 299.43/67.82 | (1990) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.82 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.82 | v0, all_1626_2) |
% 299.43/67.82 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.82 | all_1566_1) &
% 299.43/67.82 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.82 | all_1007_0)) |
% 299.43/67.82 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1566_1,
% 299.43/67.82 | v0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.82 | all_1007_0, v0))) &
% 299.43/67.82 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.82 | all_1626_2) | (( ~
% 299.43/67.82 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.82 | all_1566_1) | ~
% 299.43/67.82 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.82 | all_1007_0)) & ( ~
% 299.43/67.82 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.82 | all_1566_1, v0) | ~
% 299.43/67.82 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | all_1007_0, v0)))))
% 299.43/67.83 |
% 299.43/67.83 | GROUND_INST: instantiating (fact_mult__le__0__iff) with all_1566_1,
% 299.43/67.83 | all_1007_0, tc_RealDef_Oreal, all_980_2, all_1626_12, all_1626_2,
% 299.43/67.83 | simplifying with (160), (174), (267), (1809), (1813), (1931),
% 299.43/67.83 | (1932) gives:
% 299.43/67.83 | (1991) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.83 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | all_1626_2, v0) |
% 299.43/67.83 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.83 | all_1566_1) &
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | all_1007_0, v0)) |
% 299.43/67.83 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.83 | all_1007_0) &
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | all_1566_1, v0))) &
% 299.43/67.83 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1626_2,
% 299.43/67.83 | v0) | (( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | v0, all_1566_1) | ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | all_1007_0, v0)) & ( ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.83 | all_1007_0) | ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | all_1566_1, v0)))))
% 299.43/67.83 |
% 299.43/67.83 | GROUND_INST: instantiating (fact_mult__neg__neg) with all_1566_1, all_1007_0,
% 299.43/67.83 | tc_RealDef_Oreal, all_980_2, all_1626_12, all_1626_2, simplifying
% 299.43/67.83 | with (160), (174), (267), (1809), (1813), (1931), (1932) gives:
% 299.43/67.83 | (1992) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.83 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 299.43/67.83 | all_1566_1, v0) | ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1007_0, v0)
% 299.43/67.83 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.83 | all_1626_2)))
% 299.43/67.83 |
% 299.43/67.83 | GROUND_INST: instantiating (fact_mult__nonpos__nonpos) with all_1566_1,
% 299.43/67.83 | all_1007_0, tc_RealDef_Oreal, all_980_2, all_1626_12, all_1626_2,
% 299.43/67.83 | simplifying with (168), (174), (267), (1809), (1813), (1931),
% 299.43/67.83 | (1932) gives:
% 299.43/67.83 | (1993) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.83 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | all_1566_1, v0) | ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1007_0,
% 299.43/67.83 | v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.83 | all_1626_2)))
% 299.43/67.83 |
% 299.43/67.83 | GROUND_INST: instantiating (fact_split__mult__pos__le) with all_1566_1,
% 299.43/67.83 | all_1007_0, tc_RealDef_Oreal, all_980_2, all_1626_12, all_1626_2,
% 299.43/67.83 | simplifying with (168), (174), (267), (1809), (1813), (1931),
% 299.43/67.83 | (1932) gives:
% 299.43/67.83 | (1994) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.83 | $i(v0) & (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.83 | all_1626_2) | (( ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.83 | all_1566_1) | ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.83 | all_1007_0)) & ( ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | all_1566_1, v0) | ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | all_1007_0, v0)))))
% 299.43/67.83 |
% 299.43/67.83 | GROUND_INST: instantiating (fact_mult__eq__0__iff) with all_1566_1,
% 299.43/67.83 | all_1007_0, tc_RealDef_Oreal, all_980_2, all_1626_12, all_1626_2,
% 299.43/67.83 | simplifying with (161), (174), (267), (1809), (1813), (1931),
% 299.43/67.83 | (1932) gives:
% 299.43/67.83 | (1995) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.83 | $i(v0) & ( ~ (v0 = all_1626_2) | all_1626_2 = all_1566_1 |
% 299.43/67.83 | all_1626_2 = all_1007_0) & (v0 = all_1626_2 | ( ~ (v0 =
% 299.43/67.83 | all_1566_1) & ~ (v0 = all_1007_0))))
% 299.43/67.83 |
% 299.43/67.83 | GROUND_INST: instantiating (fact_no__zero__divisors) with all_1566_1,
% 299.43/67.83 | all_1007_0, tc_RealDef_Oreal, all_980_2, all_1626_12, all_1626_2,
% 299.43/67.83 | simplifying with (165), (174), (267), (1809), (1813), (1931),
% 299.43/67.83 | (1932) gives:
% 299.43/67.83 | (1996) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.83 | $i(v0) & ( ~ (v0 = all_1626_2) | all_1626_2 = all_1566_1 |
% 299.43/67.83 | all_1626_2 = all_1007_0))
% 299.43/67.83 |
% 299.43/67.83 | GROUND_INST: instantiating (fact_mult__pos__neg2) with all_1007_0, all_735_0,
% 299.43/67.83 | tc_RealDef_Oreal, all_980_2, all_1626_12, all_1626_0, simplifying
% 299.43/67.83 | with (153), (174), (267), (1622), (1644), (1809), (1813) gives:
% 299.43/67.83 | (1997) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.83 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.83 | all_735_0) | ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1007_0, v0)
% 299.43/67.83 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1626_0,
% 299.43/67.83 | v0)))
% 299.43/67.83 |
% 299.43/67.83 | GROUND_INST: instantiating (fact_zero__less__mult__pos) with all_735_0,
% 299.43/67.83 | all_1007_0, tc_RealDef_Oreal, all_980_2, all_1626_12, all_1626_0,
% 299.43/67.83 | simplifying with (153), (174), (267), (1622), (1644), (1809),
% 299.43/67.83 | (1813) gives:
% 299.43/67.83 | (1998) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.83 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.83 | all_1626_0) | ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_1007_0)
% 299.43/67.83 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.83 | all_735_0)))
% 299.43/67.83 |
% 299.43/67.83 | GROUND_INST: instantiating (fact_mult__pos__pos) with all_735_0, all_1007_0,
% 299.43/67.83 | tc_RealDef_Oreal, all_980_2, all_1626_12, all_1626_0, simplifying
% 299.43/67.83 | with (153), (174), (267), (1622), (1644), (1809), (1813) gives:
% 299.43/67.83 | (1999) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.83 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.83 | all_1007_0) | ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_735_0) |
% 299.43/67.83 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.83 | all_1626_0)))
% 299.43/67.83 |
% 299.43/67.83 | GROUND_INST: instantiating (fact_mult__pos__neg) with all_735_0, all_1007_0,
% 299.43/67.83 | tc_RealDef_Oreal, all_980_2, all_1626_12, all_1626_0, simplifying
% 299.43/67.83 | with (153), (174), (267), (1622), (1644), (1809), (1813) gives:
% 299.43/67.83 | (2000) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.83 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.83 | all_1007_0) | ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_735_0, v0) |
% 299.43/67.83 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1626_0,
% 299.43/67.83 | v0)))
% 299.43/67.83 |
% 299.43/67.83 | GROUND_INST: instantiating (fact_mult__nonneg__nonpos2) with all_1007_0,
% 299.43/67.83 | all_735_0, tc_RealDef_Oreal, all_980_2, all_1626_12, all_1626_0,
% 299.43/67.83 | simplifying with (159), (174), (267), (1622), (1644), (1809),
% 299.43/67.83 | (1813) gives:
% 299.43/67.83 | (2001) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.83 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | v0, all_735_0) | ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1007_0,
% 299.43/67.83 | v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | all_1626_0, v0)))
% 299.43/67.83 |
% 299.43/67.83 | GROUND_INST: instantiating (fact_mult__nonneg__nonneg) with all_735_0,
% 299.43/67.83 | all_1007_0, tc_RealDef_Oreal, all_980_2, all_1626_12, all_1626_0,
% 299.43/67.83 | simplifying with (159), (174), (267), (1622), (1644), (1809),
% 299.43/67.83 | (1813) gives:
% 299.43/67.83 | (2002) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.83 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | v0, all_1007_0) | ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.83 | all_735_0) |
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.83 | all_1626_0)))
% 299.43/67.83 |
% 299.43/67.83 | GROUND_INST: instantiating (fact_mult__nonneg__nonpos) with all_735_0,
% 299.43/67.83 | all_1007_0, tc_RealDef_Oreal, all_980_2, all_1626_12, all_1626_0,
% 299.43/67.83 | simplifying with (159), (174), (267), (1622), (1644), (1809),
% 299.43/67.83 | (1813) gives:
% 299.43/67.83 | (2003) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.83 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | v0, all_1007_0) | ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_735_0,
% 299.43/67.83 | v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | all_1626_0, v0)))
% 299.43/67.83 |
% 299.43/67.83 | GROUND_INST: instantiating (fact_split__mult__neg__le) with all_735_0,
% 299.43/67.83 | all_1007_0, tc_RealDef_Oreal, all_980_2, all_1626_12, all_1626_0,
% 299.43/67.83 | simplifying with (159), (174), (267), (1622), (1644), (1809),
% 299.43/67.83 | (1813) gives:
% 299.43/67.83 | (2004) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.83 | $i(v0) & (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | all_1626_0, v0) | (( ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.83 | all_1007_0) | ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | all_735_0, v0)) & ( ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.83 | all_735_0) | ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | all_1007_0, v0)))))
% 299.43/67.83 |
% 299.43/67.83 | GROUND_INST: instantiating (fact_zero__le__mult__iff) with all_735_0,
% 299.43/67.83 | all_1007_0, tc_RealDef_Oreal, all_980_2, all_1626_12, all_1626_0,
% 299.43/67.83 | simplifying with (160), (174), (267), (1622), (1644), (1809),
% 299.43/67.83 | (1813) gives:
% 299.43/67.83 | (2005) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.83 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | v0, all_1626_0) |
% 299.43/67.83 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.83 | all_1007_0) &
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.83 | all_735_0)) |
% 299.43/67.83 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1007_0,
% 299.43/67.83 | v0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | all_735_0, v0))) &
% 299.43/67.83 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.83 | all_1626_0) | (( ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.83 | all_1007_0) | ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.83 | all_735_0)) & ( ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | all_1007_0, v0) | ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | all_735_0, v0)))))
% 299.43/67.83 |
% 299.43/67.83 | GROUND_INST: instantiating (fact_mult__le__0__iff) with all_735_0, all_1007_0,
% 299.43/67.83 | tc_RealDef_Oreal, all_980_2, all_1626_12, all_1626_0, simplifying
% 299.43/67.83 | with (160), (174), (267), (1622), (1644), (1809), (1813) gives:
% 299.43/67.83 | (2006) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.83 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | all_1626_0, v0) |
% 299.43/67.83 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.83 | all_1007_0) &
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_735_0,
% 299.43/67.83 | v0)) | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | v0, all_735_0) &
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | all_1007_0, v0))) &
% 299.43/67.83 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1626_0,
% 299.43/67.83 | v0) | (( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | v0, all_1007_0) | ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | all_735_0, v0)) & ( ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.83 | all_735_0) | ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | all_1007_0, v0)))))
% 299.43/67.83 |
% 299.43/67.83 | GROUND_INST: instantiating (fact_mult__neg__neg) with all_735_0, all_1007_0,
% 299.43/67.83 | tc_RealDef_Oreal, all_980_2, all_1626_12, all_1626_0, simplifying
% 299.43/67.83 | with (160), (174), (267), (1622), (1644), (1809), (1813) gives:
% 299.43/67.83 | (2007) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.83 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 299.43/67.83 | all_1007_0, v0) | ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_735_0, v0) |
% 299.43/67.83 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.83 | all_1626_0)))
% 299.43/67.83 |
% 299.43/67.83 | GROUND_INST: instantiating (fact_mult__nonpos__nonpos) with all_735_0,
% 299.43/67.83 | all_1007_0, tc_RealDef_Oreal, all_980_2, all_1626_12, all_1626_0,
% 299.43/67.83 | simplifying with (168), (174), (267), (1622), (1644), (1809),
% 299.43/67.83 | (1813) gives:
% 299.43/67.83 | (2008) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.83 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | all_1007_0, v0) | ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_735_0,
% 299.43/67.83 | v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.83 | all_1626_0)))
% 299.43/67.83 |
% 299.43/67.83 | GROUND_INST: instantiating (fact_split__mult__pos__le) with all_735_0,
% 299.43/67.83 | all_1007_0, tc_RealDef_Oreal, all_980_2, all_1626_12, all_1626_0,
% 299.43/67.83 | simplifying with (168), (174), (267), (1622), (1644), (1809),
% 299.43/67.83 | (1813) gives:
% 299.43/67.83 | (2009) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.83 | $i(v0) & (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.83 | all_1626_0) | (( ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.83 | all_1007_0) | ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.83 | all_735_0)) & ( ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | all_1007_0, v0) | ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | all_735_0, v0)))))
% 299.43/67.83 |
% 299.43/67.83 | GROUND_INST: instantiating (fact_mult__eq__0__iff) with all_735_0, all_1007_0,
% 299.43/67.83 | tc_RealDef_Oreal, all_980_2, all_1626_12, all_1626_0, simplifying
% 299.43/67.83 | with (161), (174), (267), (1622), (1644), (1809), (1813) gives:
% 299.43/67.83 | (2010) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.83 | $i(v0) & ( ~ (v0 = all_1626_0) | all_1626_0 = all_1007_0 |
% 299.43/67.83 | all_1626_0 = all_735_0) & (v0 = all_1626_0 | ( ~ (v0 =
% 299.43/67.83 | all_1007_0) & ~ (v0 = all_735_0))))
% 299.43/67.83 |
% 299.43/67.83 | GROUND_INST: instantiating (fact_no__zero__divisors) with all_735_0,
% 299.43/67.83 | all_1007_0, tc_RealDef_Oreal, all_980_2, all_1626_12, all_1626_0,
% 299.43/67.83 | simplifying with (165), (174), (267), (1622), (1644), (1809),
% 299.43/67.83 | (1813) gives:
% 299.43/67.83 | (2011) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.83 | $i(v0) & ( ~ (v0 = all_1626_0) | all_1626_0 = all_1007_0 |
% 299.43/67.83 | all_1626_0 = all_735_0))
% 299.43/67.83 |
% 299.43/67.83 | GROUND_INST: instantiating (fact_mult__pos__neg2) with all_1505_3, v_m____,
% 299.43/67.83 | tc_RealDef_Oreal, all_980_2, all_1505_2, all_1505_1, simplifying
% 299.43/67.83 | with (153), (174), (179), (267), (509), (1636), (1814) gives:
% 299.43/67.83 | (2012) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.83 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.83 | v_m____) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 299.43/67.83 | all_1505_3, v0) |
% 299.43/67.83 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1505_1,
% 299.43/67.83 | v0)))
% 299.43/67.83 |
% 299.43/67.83 | GROUND_INST: instantiating (fact_zero__less__mult__pos2) with v_m____,
% 299.43/67.83 | all_1505_3, tc_RealDef_Oreal, all_980_2, all_1505_2, all_1505_1,
% 299.43/67.83 | simplifying with (153), (174), (179), (267), (509), (1636),
% 299.43/67.83 | (1814) gives:
% 299.43/67.83 | (2013) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.83 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.83 | all_1505_1) | ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v_m____) |
% 299.43/67.83 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.83 | all_1505_3)))
% 299.43/67.83 |
% 299.43/67.83 | GROUND_INST: instantiating (fact_mult__pos__pos) with v_m____, all_1505_3,
% 299.43/67.83 | tc_RealDef_Oreal, all_980_2, all_1505_2, all_1505_1, simplifying
% 299.43/67.83 | with (153), (174), (179), (267), (509), (1636), (1814) gives:
% 299.43/67.83 | (2014) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.83 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.83 | all_1505_3) | ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v_m____) |
% 299.43/67.83 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.83 | all_1505_1)))
% 299.43/67.83 |
% 299.43/67.83 | GROUND_INST: instantiating (fact_mult__pos__neg) with v_m____, all_1505_3,
% 299.43/67.83 | tc_RealDef_Oreal, all_980_2, all_1505_2, all_1505_1, simplifying
% 299.43/67.83 | with (153), (174), (179), (267), (509), (1636), (1814) gives:
% 299.43/67.83 | (2015) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.83 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.83 | all_1505_3) | ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_m____, v0) |
% 299.43/67.83 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1505_1,
% 299.43/67.83 | v0)))
% 299.43/67.83 |
% 299.43/67.83 | GROUND_INST: instantiating (fact_mult__nonneg__nonpos2) with all_1505_3,
% 299.43/67.83 | v_m____, tc_RealDef_Oreal, all_980_2, all_1505_2, all_1505_1,
% 299.43/67.83 | simplifying with (159), (174), (179), (267), (509), (1636),
% 299.43/67.83 | (1814) gives:
% 299.43/67.83 | (2016) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.83 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | v0, v_m____) | ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1505_3,
% 299.43/67.83 | v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | all_1505_1, v0)))
% 299.43/67.83 |
% 299.43/67.83 | GROUND_INST: instantiating (fact_mult__nonneg__nonneg) with v_m____,
% 299.43/67.83 | all_1505_3, tc_RealDef_Oreal, all_980_2, all_1505_2, all_1505_1,
% 299.43/67.83 | simplifying with (159), (174), (179), (267), (509), (1636),
% 299.43/67.83 | (1814) gives:
% 299.43/67.83 | (2017) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.83 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | v0, all_1505_3) | ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v_m____)
% 299.43/67.83 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.83 | all_1505_1)))
% 299.43/67.83 |
% 299.43/67.83 | GROUND_INST: instantiating (fact_mult__nonneg__nonpos) with v_m____,
% 299.43/67.83 | all_1505_3, tc_RealDef_Oreal, all_980_2, all_1505_2, all_1505_1,
% 299.43/67.83 | simplifying with (159), (174), (179), (267), (509), (1636),
% 299.43/67.83 | (1814) gives:
% 299.43/67.83 | (2018) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.83 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | v0, all_1505_3) | ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____, v0)
% 299.43/67.83 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | all_1505_1, v0)))
% 299.43/67.83 |
% 299.43/67.83 | GROUND_INST: instantiating (fact_split__mult__neg__le) with v_m____,
% 299.43/67.83 | all_1505_3, tc_RealDef_Oreal, all_980_2, all_1505_2, all_1505_1,
% 299.43/67.83 | simplifying with (159), (174), (179), (267), (509), (1636),
% 299.43/67.83 | (1814) gives:
% 299.43/67.83 | (2019) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.83 | $i(v0) & (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | all_1505_1, v0) | (( ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.83 | all_1505_3) | ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 299.43/67.83 | v0)) & ( ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.83 | v_m____) | ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | all_1505_3, v0)))))
% 299.43/67.83 |
% 299.43/67.83 | GROUND_INST: instantiating (fact_zero__le__mult__iff) with v_m____,
% 299.43/67.83 | all_1505_3, tc_RealDef_Oreal, all_980_2, all_1505_2, all_1505_1,
% 299.43/67.83 | simplifying with (160), (174), (179), (267), (509), (1636),
% 299.43/67.83 | (1814) gives:
% 299.43/67.83 | (2020) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.83 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | v0, all_1505_1) |
% 299.43/67.83 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.83 | all_1505_3) &
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.83 | v_m____)) |
% 299.43/67.83 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1505_3,
% 299.43/67.83 | v0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | v_m____, v0))) &
% 299.43/67.83 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.83 | all_1505_1) | (( ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.83 | all_1505_3) | ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.83 | v_m____)) & ( ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | all_1505_3, v0) | ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 299.43/67.83 | v0)))))
% 299.43/67.83 |
% 299.43/67.83 | GROUND_INST: instantiating (fact_mult__le__0__iff) with v_m____, all_1505_3,
% 299.43/67.83 | tc_RealDef_Oreal, all_980_2, all_1505_2, all_1505_1, simplifying
% 299.43/67.83 | with (160), (174), (179), (267), (509), (1636), (1814) gives:
% 299.43/67.83 | (2021) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.83 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | all_1505_1, v0) |
% 299.43/67.83 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.83 | all_1505_3) &
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 299.43/67.83 | v0)) | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | v0, v_m____) &
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | all_1505_3, v0))) &
% 299.43/67.83 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1505_1,
% 299.43/67.83 | v0) | (( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | v0, all_1505_3) | ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 299.43/67.83 | v0)) & ( ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.83 | v_m____) | ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | all_1505_3, v0)))))
% 299.43/67.83 |
% 299.43/67.83 | GROUND_INST: instantiating (fact_mult__neg__neg) with v_m____, all_1505_3,
% 299.43/67.83 | tc_RealDef_Oreal, all_980_2, all_1505_2, all_1505_1, simplifying
% 299.43/67.83 | with (160), (174), (179), (267), (509), (1636), (1814) gives:
% 299.43/67.83 | (2022) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.83 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 299.43/67.83 | all_1505_3, v0) | ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_m____, v0) |
% 299.43/67.83 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.83 | all_1505_1)))
% 299.43/67.83 |
% 299.43/67.83 | GROUND_INST: instantiating (fact_mult__nonpos__nonpos) with v_m____,
% 299.43/67.83 | all_1505_3, tc_RealDef_Oreal, all_980_2, all_1505_2, all_1505_1,
% 299.43/67.83 | simplifying with (168), (174), (179), (267), (509), (1636),
% 299.43/67.83 | (1814) gives:
% 299.43/67.83 | (2023) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.83 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.83 | all_1505_3, v0) | ~
% 299.43/67.83 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____, v0)
% 299.43/67.83 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.83 | all_1505_1)))
% 299.43/67.83 |
% 299.43/67.83 | GROUND_INST: instantiating (fact_split__mult__pos__le) with v_m____,
% 299.43/67.83 | all_1505_3, tc_RealDef_Oreal, all_980_2, all_1505_2, all_1505_1,
% 299.43/67.83 | simplifying with (168), (174), (179), (267), (509), (1636),
% 299.43/67.83 | (1814) gives:
% 299.43/67.83 | (2024) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.83 | $i(v0) & (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.84 | all_1505_1) | (( ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.84 | all_1505_3) | ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.84 | v_m____)) & ( ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.84 | all_1505_3, v0) | ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 299.43/67.84 | v0)))))
% 299.43/67.84 |
% 299.43/67.84 | GROUND_INST: instantiating (fact_mult__eq__0__iff) with v_m____, all_1505_3,
% 299.43/67.84 | tc_RealDef_Oreal, all_980_2, all_1505_2, all_1505_1, simplifying
% 299.43/67.84 | with (161), (174), (179), (267), (509), (1636), (1814) gives:
% 299.43/67.84 | (2025) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.84 | $i(v0) & ( ~ (v0 = all_1505_1) | all_1505_1 = all_1505_3 |
% 299.43/67.84 | all_1505_1 = v_m____) & (v0 = all_1505_1 | ( ~ (v0 = all_1505_3)
% 299.43/67.84 | & ~ (v0 = v_m____))))
% 299.43/67.84 |
% 299.43/67.84 | GROUND_INST: instantiating (fact_no__zero__divisors) with v_m____, all_1505_3,
% 299.43/67.84 | tc_RealDef_Oreal, all_980_2, all_1505_2, all_1505_1, simplifying
% 299.43/67.84 | with (165), (174), (179), (267), (509), (1636), (1814) gives:
% 299.43/67.84 | (2026) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.84 | $i(v0) & ( ~ (v0 = all_1505_1) | all_1505_1 = all_1505_3 |
% 299.43/67.84 | all_1505_1 = v_m____))
% 299.43/67.84 |
% 299.43/67.84 | GROUND_INST: instantiating (fact_mult__pos__neg2) with v_t____, all_1505_1,
% 299.43/67.84 | tc_RealDef_Oreal, all_980_2, all_1291_5, all_1566_1, simplifying
% 299.43/67.84 | with (153), (174), (175), (267), (1640), (1904), (1910) gives:
% 299.43/67.84 | (2027) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.84 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.84 | all_1505_1) | ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_t____, v0) |
% 299.43/67.84 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1566_1,
% 299.43/67.84 | v0)))
% 299.43/67.84 |
% 299.43/67.84 | GROUND_INST: instantiating (fact_zero__less__mult__pos) with all_1505_1,
% 299.43/67.84 | v_t____, tc_RealDef_Oreal, all_980_2, all_1291_5, all_1566_1,
% 299.43/67.84 | simplifying with (153), (174), (175), (267), (1640), (1904),
% 299.43/67.84 | (1910) gives:
% 299.43/67.84 | (2028) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.84 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.84 | all_1566_1) | ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v_t____) |
% 299.43/67.84 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.84 | all_1505_1)))
% 299.43/67.84 |
% 299.43/67.84 | GROUND_INST: instantiating (fact_mult__pos__pos) with all_1505_1, v_t____,
% 299.43/67.84 | tc_RealDef_Oreal, all_980_2, all_1291_5, all_1566_1, simplifying
% 299.43/67.84 | with (153), (174), (175), (267), (1640), (1904), (1910) gives:
% 299.43/67.84 | (2029) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.84 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.84 | all_1505_1) | ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v_t____) |
% 299.43/67.84 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.84 | all_1566_1)))
% 299.43/67.84 |
% 299.43/67.84 | GROUND_INST: instantiating (fact_mult__pos__neg) with all_1505_1, v_t____,
% 299.43/67.84 | tc_RealDef_Oreal, all_980_2, all_1291_5, all_1566_1, simplifying
% 299.43/67.84 | with (153), (174), (175), (267), (1640), (1904), (1910) gives:
% 299.43/67.84 | (2030) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.84 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.84 | v_t____) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 299.43/67.84 | all_1505_1, v0) |
% 299.43/67.84 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1566_1,
% 299.43/67.84 | v0)))
% 299.43/67.84 |
% 299.43/67.84 | GROUND_INST: instantiating (fact_mult__nonneg__nonpos2) with v_t____,
% 299.43/67.84 | all_1505_1, tc_RealDef_Oreal, all_980_2, all_1291_5, all_1566_1,
% 299.43/67.84 | simplifying with (159), (174), (175), (267), (1640), (1904),
% 299.43/67.84 | (1910) gives:
% 299.43/67.84 | (2031) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.84 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.84 | v0, all_1505_1) | ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_t____, v0)
% 299.43/67.84 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.84 | all_1566_1, v0)))
% 299.43/67.84 |
% 299.43/67.84 | GROUND_INST: instantiating (fact_mult__nonneg__nonneg) with all_1505_1,
% 299.43/67.84 | v_t____, tc_RealDef_Oreal, all_980_2, all_1291_5, all_1566_1,
% 299.43/67.84 | simplifying with (159), (174), (175), (267), (1640), (1904),
% 299.43/67.84 | (1910) gives:
% 299.43/67.84 | (2032) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.84 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.84 | v0, all_1505_1) | ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v_t____)
% 299.43/67.84 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.84 | all_1566_1)))
% 299.43/67.84 |
% 299.43/67.84 | GROUND_INST: instantiating (fact_mult__nonneg__nonpos) with all_1505_1,
% 299.43/67.84 | v_t____, tc_RealDef_Oreal, all_980_2, all_1291_5, all_1566_1,
% 299.43/67.84 | simplifying with (159), (174), (175), (267), (1640), (1904),
% 299.43/67.84 | (1910) gives:
% 299.43/67.84 | (2033) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.84 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.84 | v0, v_t____) | ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1505_1,
% 299.43/67.84 | v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.84 | all_1566_1, v0)))
% 299.43/67.84 |
% 299.43/67.84 | GROUND_INST: instantiating (fact_split__mult__neg__le) with all_1505_1,
% 299.43/67.84 | v_t____, tc_RealDef_Oreal, all_980_2, all_1291_5, all_1566_1,
% 299.43/67.84 | simplifying with (159), (174), (175), (267), (1640), (1904),
% 299.43/67.84 | (1910) gives:
% 299.43/67.84 | (2034) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.84 | $i(v0) & (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.84 | all_1566_1, v0) | (( ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.84 | all_1505_1) | ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_t____,
% 299.43/67.84 | v0)) & ( ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.84 | v_t____) | ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.84 | all_1505_1, v0)))))
% 299.43/67.84 |
% 299.43/67.84 | GROUND_INST: instantiating (fact_zero__le__mult__iff) with all_1505_1,
% 299.43/67.84 | v_t____, tc_RealDef_Oreal, all_980_2, all_1291_5, all_1566_1,
% 299.43/67.84 | simplifying with (160), (174), (175), (267), (1640), (1904),
% 299.43/67.84 | (1910) gives:
% 299.43/67.84 | (2035) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.84 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.84 | v0, all_1566_1) |
% 299.43/67.84 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.84 | all_1505_1) &
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.84 | v_t____)) |
% 299.43/67.84 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1505_1,
% 299.43/67.84 | v0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.84 | v_t____, v0))) &
% 299.43/67.84 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.84 | all_1566_1) | (( ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.84 | all_1505_1) | ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.84 | v_t____)) & ( ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.84 | all_1505_1, v0) | ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_t____,
% 299.43/67.84 | v0)))))
% 299.43/67.84 |
% 299.43/67.84 | GROUND_INST: instantiating (fact_mult__le__0__iff) with all_1505_1, v_t____,
% 299.43/67.84 | tc_RealDef_Oreal, all_980_2, all_1291_5, all_1566_1, simplifying
% 299.43/67.84 | with (160), (174), (175), (267), (1640), (1904), (1910) gives:
% 299.43/67.84 | (2036) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.84 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.84 | all_1566_1, v0) |
% 299.43/67.84 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.84 | all_1505_1) &
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_t____,
% 299.43/67.84 | v0)) | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.84 | v0, v_t____) &
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.84 | all_1505_1, v0))) &
% 299.43/67.84 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1566_1,
% 299.43/67.84 | v0) | (( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.84 | v0, all_1505_1) | ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_t____,
% 299.43/67.84 | v0)) & ( ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.84 | v_t____) | ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.84 | all_1505_1, v0)))))
% 299.43/67.84 |
% 299.43/67.84 | GROUND_INST: instantiating (fact_mult__neg__neg) with all_1505_1, v_t____,
% 299.43/67.84 | tc_RealDef_Oreal, all_980_2, all_1291_5, all_1566_1, simplifying
% 299.43/67.84 | with (160), (174), (175), (267), (1640), (1904), (1910) gives:
% 299.43/67.84 | (2037) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.84 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 299.43/67.84 | all_1505_1, v0) | ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_t____, v0) |
% 299.43/67.84 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.84 | all_1566_1)))
% 299.43/67.84 |
% 299.43/67.84 | GROUND_INST: instantiating (fact_mult__nonpos__nonpos) with all_1505_1,
% 299.43/67.84 | v_t____, tc_RealDef_Oreal, all_980_2, all_1291_5, all_1566_1,
% 299.43/67.84 | simplifying with (168), (174), (175), (267), (1640), (1904),
% 299.43/67.84 | (1910) gives:
% 299.43/67.84 | (2038) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.84 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.84 | all_1505_1, v0) | ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_t____, v0)
% 299.43/67.84 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.84 | all_1566_1)))
% 299.43/67.84 |
% 299.43/67.84 | GROUND_INST: instantiating (fact_split__mult__pos__le) with all_1505_1,
% 299.43/67.84 | v_t____, tc_RealDef_Oreal, all_980_2, all_1291_5, all_1566_1,
% 299.43/67.84 | simplifying with (168), (174), (175), (267), (1640), (1904),
% 299.43/67.84 | (1910) gives:
% 299.43/67.84 | (2039) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.84 | $i(v0) & (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.84 | all_1566_1) | (( ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.84 | all_1505_1) | ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.84 | v_t____)) & ( ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.84 | all_1505_1, v0) | ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_t____,
% 299.43/67.84 | v0)))))
% 299.43/67.84 |
% 299.43/67.84 | GROUND_INST: instantiating (fact_mult__eq__0__iff) with all_1505_1, v_t____,
% 299.43/67.84 | tc_RealDef_Oreal, all_980_2, all_1291_5, all_1566_1, simplifying
% 299.43/67.84 | with (161), (174), (175), (267), (1640), (1904), (1910) gives:
% 299.43/67.84 | (2040) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.84 | $i(v0) & ( ~ (v0 = all_1566_1) | all_1566_1 = all_1505_1 |
% 299.43/67.84 | all_1566_1 = v_t____) & (v0 = all_1566_1 | ( ~ (v0 = all_1505_1)
% 299.43/67.84 | & ~ (v0 = v_t____))))
% 299.43/67.84 |
% 299.43/67.84 | GROUND_INST: instantiating (fact_no__zero__divisors) with all_1505_1, v_t____,
% 299.43/67.84 | tc_RealDef_Oreal, all_980_2, all_1291_5, all_1566_1, simplifying
% 299.43/67.84 | with (165), (174), (175), (267), (1640), (1904), (1910) gives:
% 299.43/67.84 | (2041) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.84 | $i(v0) & ( ~ (v0 = all_1566_1) | all_1566_1 = all_1505_1 |
% 299.43/67.84 | all_1566_1 = v_t____))
% 299.43/67.84 |
% 299.43/67.84 | GROUND_INST: instantiating (fact_mult__pos__neg2) with v_t____, all_1132_1,
% 299.43/67.84 | tc_RealDef_Oreal, all_980_2, all_1291_5, all_1291_3, simplifying
% 299.43/67.84 | with (153), (174), (175), (267), (1638), (1640), (1643) gives:
% 299.43/67.84 | (2042) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.84 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.84 | all_1132_1) | ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_t____, v0) |
% 299.43/67.84 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1291_3,
% 299.43/67.84 | v0)))
% 299.43/67.84 |
% 299.43/67.84 | GROUND_INST: instantiating (fact_zero__less__mult__pos) with all_1132_1,
% 299.43/67.84 | v_t____, tc_RealDef_Oreal, all_980_2, all_1291_5, all_1291_3,
% 299.43/67.84 | simplifying with (153), (174), (175), (267), (1638), (1640),
% 299.43/67.84 | (1643) gives:
% 299.43/67.84 | (2043) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.84 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.84 | all_1291_3) | ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v_t____) |
% 299.43/67.84 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.84 | all_1132_1)))
% 299.43/67.84 |
% 299.43/67.84 | GROUND_INST: instantiating (fact_mult__pos__pos) with all_1132_1, v_t____,
% 299.43/67.84 | tc_RealDef_Oreal, all_980_2, all_1291_5, all_1291_3, simplifying
% 299.43/67.84 | with (153), (174), (175), (267), (1638), (1640), (1643) gives:
% 299.43/67.84 | (2044) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.84 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.84 | all_1132_1) | ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v_t____) |
% 299.43/67.84 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.84 | all_1291_3)))
% 299.43/67.84 |
% 299.43/67.84 | GROUND_INST: instantiating (fact_mult__pos__neg) with all_1132_1, v_t____,
% 299.43/67.84 | tc_RealDef_Oreal, all_980_2, all_1291_5, all_1291_3, simplifying
% 299.43/67.84 | with (153), (174), (175), (267), (1638), (1640), (1643) gives:
% 299.43/67.84 | (2045) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.84 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.84 | v_t____) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 299.43/67.84 | all_1132_1, v0) |
% 299.43/67.84 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1291_3,
% 299.43/67.84 | v0)))
% 299.43/67.84 |
% 299.43/67.84 | GROUND_INST: instantiating (fact_mult__nonneg__nonpos2) with v_t____,
% 299.43/67.84 | all_1132_1, tc_RealDef_Oreal, all_980_2, all_1291_5, all_1291_3,
% 299.43/67.84 | simplifying with (159), (174), (175), (267), (1638), (1640),
% 299.43/67.84 | (1643) gives:
% 299.43/67.84 | (2046) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.84 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.84 | v0, all_1132_1) | ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_t____, v0)
% 299.43/67.84 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.84 | all_1291_3, v0)))
% 299.43/67.84 |
% 299.43/67.84 | GROUND_INST: instantiating (fact_mult__nonneg__nonneg) with all_1132_1,
% 299.43/67.84 | v_t____, tc_RealDef_Oreal, all_980_2, all_1291_5, all_1291_3,
% 299.43/67.84 | simplifying with (159), (174), (175), (267), (1638), (1640),
% 299.43/67.84 | (1643) gives:
% 299.43/67.84 | (2047) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.84 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.84 | v0, all_1132_1) | ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v_t____)
% 299.43/67.84 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.84 | all_1291_3)))
% 299.43/67.84 |
% 299.43/67.84 | GROUND_INST: instantiating (fact_mult__nonneg__nonpos) with all_1132_1,
% 299.43/67.84 | v_t____, tc_RealDef_Oreal, all_980_2, all_1291_5, all_1291_3,
% 299.43/67.84 | simplifying with (159), (174), (175), (267), (1638), (1640),
% 299.43/67.84 | (1643) gives:
% 299.43/67.84 | (2048) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.84 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.84 | v0, v_t____) | ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1132_1,
% 299.43/67.84 | v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.84 | all_1291_3, v0)))
% 299.43/67.84 |
% 299.43/67.84 | GROUND_INST: instantiating (fact_split__mult__neg__le) with all_1132_1,
% 299.43/67.84 | v_t____, tc_RealDef_Oreal, all_980_2, all_1291_5, all_1291_3,
% 299.43/67.84 | simplifying with (159), (174), (175), (267), (1638), (1640),
% 299.43/67.84 | (1643) gives:
% 299.43/67.84 | (2049) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.84 | $i(v0) & (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.84 | all_1291_3, v0) | (( ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.84 | all_1132_1) | ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_t____,
% 299.43/67.84 | v0)) & ( ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.84 | v_t____) | ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.84 | all_1132_1, v0)))))
% 299.43/67.84 |
% 299.43/67.84 | GROUND_INST: instantiating (fact_zero__le__mult__iff) with all_1132_1,
% 299.43/67.84 | v_t____, tc_RealDef_Oreal, all_980_2, all_1291_5, all_1291_3,
% 299.43/67.84 | simplifying with (160), (174), (175), (267), (1638), (1640),
% 299.43/67.84 | (1643) gives:
% 299.43/67.84 | (2050) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.84 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.84 | v0, all_1291_3) |
% 299.43/67.84 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.84 | all_1132_1) &
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.84 | v_t____)) |
% 299.43/67.84 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1132_1,
% 299.43/67.84 | v0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.84 | v_t____, v0))) &
% 299.43/67.84 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.84 | all_1291_3) | (( ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.84 | all_1132_1) | ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.84 | v_t____)) & ( ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.84 | all_1132_1, v0) | ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_t____,
% 299.43/67.84 | v0)))))
% 299.43/67.84 |
% 299.43/67.84 | GROUND_INST: instantiating (fact_mult__le__0__iff) with all_1132_1, v_t____,
% 299.43/67.84 | tc_RealDef_Oreal, all_980_2, all_1291_5, all_1291_3, simplifying
% 299.43/67.84 | with (160), (174), (175), (267), (1638), (1640), (1643) gives:
% 299.43/67.84 | (2051) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.84 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.84 | all_1291_3, v0) |
% 299.43/67.84 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.84 | all_1132_1) &
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_t____,
% 299.43/67.84 | v0)) | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.84 | v0, v_t____) &
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.84 | all_1132_1, v0))) &
% 299.43/67.84 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1291_3,
% 299.43/67.84 | v0) | (( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.84 | v0, all_1132_1) | ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_t____,
% 299.43/67.84 | v0)) & ( ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.84 | v_t____) | ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.84 | all_1132_1, v0)))))
% 299.43/67.84 |
% 299.43/67.84 | GROUND_INST: instantiating (fact_mult__neg__neg) with all_1132_1, v_t____,
% 299.43/67.84 | tc_RealDef_Oreal, all_980_2, all_1291_5, all_1291_3, simplifying
% 299.43/67.84 | with (160), (174), (175), (267), (1638), (1640), (1643) gives:
% 299.43/67.84 | (2052) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.84 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 299.43/67.84 | all_1132_1, v0) | ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_t____, v0) |
% 299.43/67.84 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.84 | all_1291_3)))
% 299.43/67.84 |
% 299.43/67.84 | GROUND_INST: instantiating (fact_mult__nonpos__nonpos) with all_1132_1,
% 299.43/67.84 | v_t____, tc_RealDef_Oreal, all_980_2, all_1291_5, all_1291_3,
% 299.43/67.84 | simplifying with (168), (174), (175), (267), (1638), (1640),
% 299.43/67.84 | (1643) gives:
% 299.43/67.84 | (2053) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.84 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.84 | all_1132_1, v0) | ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_t____, v0)
% 299.43/67.84 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.84 | all_1291_3)))
% 299.43/67.84 |
% 299.43/67.84 | GROUND_INST: instantiating (fact_split__mult__pos__le) with all_1132_1,
% 299.43/67.84 | v_t____, tc_RealDef_Oreal, all_980_2, all_1291_5, all_1291_3,
% 299.43/67.84 | simplifying with (168), (174), (175), (267), (1638), (1640),
% 299.43/67.84 | (1643) gives:
% 299.43/67.84 | (2054) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.84 | $i(v0) & (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.84 | all_1291_3) | (( ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.84 | all_1132_1) | ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.84 | v_t____)) & ( ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.84 | all_1132_1, v0) | ~
% 299.43/67.84 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_t____,
% 299.43/67.84 | v0)))))
% 299.43/67.84 |
% 299.43/67.84 | GROUND_INST: instantiating (fact_mult__eq__0__iff) with all_1132_1, v_t____,
% 299.43/67.84 | tc_RealDef_Oreal, all_980_2, all_1291_5, all_1291_3, simplifying
% 299.43/67.84 | with (161), (174), (175), (267), (1638), (1640), (1643) gives:
% 299.43/67.84 | (2055) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.84 | $i(v0) & ( ~ (v0 = all_1291_3) | all_1291_3 = all_1132_1 |
% 299.43/67.84 | all_1291_3 = v_t____) & (v0 = all_1291_3 | ( ~ (v0 = all_1132_1)
% 299.43/67.84 | & ~ (v0 = v_t____))))
% 299.43/67.84 |
% 299.43/67.84 | GROUND_INST: instantiating (fact_no__zero__divisors) with all_1132_1, v_t____,
% 299.43/67.84 | tc_RealDef_Oreal, all_980_2, all_1291_5, all_1291_3, simplifying
% 299.43/67.84 | with (165), (174), (175), (267), (1638), (1640), (1643) gives:
% 299.43/67.84 | (2056) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.84 | $i(v0) & ( ~ (v0 = all_1291_3) | all_1291_3 = all_1132_1 |
% 299.43/67.84 | all_1291_3 = v_t____))
% 299.43/67.84 |
% 299.43/67.85 | GROUND_INST: instantiating (fact_mult__pos__neg2) with all_735_0, all_1132_1,
% 299.43/67.85 | tc_RealDef_Oreal, all_980_2, all_980_0, all_1291_0, simplifying
% 299.43/67.85 | with (153), (174), (267), (1642), (1643), (1644), (1739) gives:
% 299.43/67.85 | (2057) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.85 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.85 | all_1132_1) | ~
% 299.43/67.85 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_735_0, v0) |
% 299.43/67.85 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1291_0,
% 299.43/67.85 | v0)))
% 299.43/67.85 |
% 299.43/67.85 | GROUND_INST: instantiating (fact_zero__less__mult__pos) with all_1132_1,
% 299.43/67.85 | all_735_0, tc_RealDef_Oreal, all_980_2, all_980_0, all_1291_0,
% 299.43/67.85 | simplifying with (153), (174), (267), (1642), (1643), (1644),
% 299.43/67.85 | (1739) gives:
% 299.43/67.85 | (2058) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.85 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.85 | all_1291_0) | ~
% 299.43/67.85 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_735_0) |
% 299.43/67.85 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.85 | all_1132_1)))
% 299.43/67.85 |
% 299.43/67.85 | GROUND_INST: instantiating (fact_zero__less__mult__pos2) with all_1132_1,
% 299.43/67.85 | all_735_0, tc_RealDef_Oreal, all_980_2, all_980_0, all_1291_0,
% 299.43/67.85 | simplifying with (153), (174), (267), (1642), (1643), (1644),
% 299.43/67.85 | (1739) gives:
% 299.43/67.85 | (2059) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.85 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.85 | all_1291_0) | ~
% 299.43/67.85 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_1132_1)
% 299.43/67.85 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.85 | all_735_0)))
% 299.43/67.85 |
% 299.43/67.85 | GROUND_INST: instantiating (fact_mult__pos__pos) with all_1132_1, all_735_0,
% 299.43/67.85 | tc_RealDef_Oreal, all_980_2, all_980_0, all_1291_0, simplifying
% 299.43/67.85 | with (153), (174), (267), (1642), (1643), (1644), (1739) gives:
% 299.43/67.85 | (2060) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.85 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.85 | all_1132_1) | ~
% 299.43/67.85 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_735_0) |
% 299.43/67.85 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.85 | all_1291_0)))
% 299.43/67.85 |
% 299.43/67.85 | GROUND_INST: instantiating (fact_mult__pos__neg) with all_1132_1, all_735_0,
% 299.43/67.85 | tc_RealDef_Oreal, all_980_2, all_980_0, all_1291_0, simplifying
% 299.43/67.85 | with (153), (174), (267), (1642), (1643), (1644), (1739) gives:
% 299.43/67.85 | (2061) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.85 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.85 | all_735_0) | ~
% 299.43/67.85 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1132_1, v0)
% 299.43/67.85 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1291_0,
% 299.43/67.85 | v0)))
% 299.43/67.85 |
% 299.43/67.85 | GROUND_INST: instantiating (fact_mult__nonneg__nonpos2) with all_735_0,
% 299.43/67.85 | all_1132_1, tc_RealDef_Oreal, all_980_2, all_980_0, all_1291_0,
% 299.43/67.85 | simplifying with (159), (174), (267), (1642), (1643), (1644),
% 299.43/67.85 | (1739) gives:
% 299.43/67.85 | (2062) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.85 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.85 | v0, all_1132_1) | ~
% 299.43/67.85 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_735_0,
% 299.43/67.85 | v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.85 | all_1291_0, v0)))
% 299.43/67.85 |
% 299.43/67.85 | GROUND_INST: instantiating (fact_mult__nonneg__nonneg) with all_1132_1,
% 299.43/67.85 | all_735_0, tc_RealDef_Oreal, all_980_2, all_980_0, all_1291_0,
% 299.43/67.85 | simplifying with (159), (174), (267), (1642), (1643), (1644),
% 299.43/67.85 | (1739) gives:
% 299.43/67.85 | (2063) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.85 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.85 | v0, all_1132_1) | ~
% 299.43/67.85 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.85 | all_735_0) |
% 299.43/67.85 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.85 | all_1291_0)))
% 299.43/67.85 |
% 299.43/67.85 | GROUND_INST: instantiating (fact_mult__nonneg__nonpos) with all_1132_1,
% 299.43/67.85 | all_735_0, tc_RealDef_Oreal, all_980_2, all_980_0, all_1291_0,
% 299.43/67.85 | simplifying with (159), (174), (267), (1642), (1643), (1644),
% 299.43/67.85 | (1739) gives:
% 299.43/67.85 | (2064) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.85 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.85 | v0, all_735_0) | ~
% 299.43/67.85 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1132_1,
% 299.43/67.85 | v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.85 | all_1291_0, v0)))
% 299.43/67.85 |
% 299.43/67.85 | GROUND_INST: instantiating (fact_split__mult__neg__le) with all_1132_1,
% 299.43/67.85 | all_735_0, tc_RealDef_Oreal, all_980_2, all_980_0, all_1291_0,
% 299.43/67.85 | simplifying with (159), (174), (267), (1642), (1643), (1644),
% 299.43/67.85 | (1739) gives:
% 299.43/67.85 | (2065) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.85 | $i(v0) & (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.85 | all_1291_0, v0) | (( ~
% 299.43/67.85 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.85 | all_1132_1) | ~
% 299.43/67.85 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.85 | all_735_0, v0)) & ( ~
% 299.43/67.85 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.85 | all_735_0) | ~
% 299.43/67.85 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.85 | all_1132_1, v0)))))
% 299.43/67.85 |
% 299.43/67.85 | GROUND_INST: instantiating (fact_zero__le__mult__iff) with all_1132_1,
% 299.43/67.85 | all_735_0, tc_RealDef_Oreal, all_980_2, all_980_0, all_1291_0,
% 299.43/67.85 | simplifying with (160), (174), (267), (1642), (1643), (1644),
% 299.43/67.85 | (1739) gives:
% 299.43/67.85 | (2066) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.85 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.85 | v0, all_1291_0) |
% 299.43/67.85 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.85 | all_1132_1) &
% 299.43/67.85 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.85 | all_735_0)) |
% 299.43/67.85 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1132_1,
% 299.43/67.85 | v0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.85 | all_735_0, v0))) &
% 299.43/67.85 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.85 | all_1291_0) | (( ~
% 299.43/67.85 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.85 | all_1132_1) | ~
% 299.43/67.85 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.85 | all_735_0)) & ( ~
% 299.43/67.85 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.85 | all_1132_1, v0) | ~
% 299.43/67.85 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.85 | all_735_0, v0)))))
% 299.43/67.85 |
% 299.43/67.85 | GROUND_INST: instantiating (fact_mult__le__0__iff) with all_1132_1, all_735_0,
% 299.43/67.85 | tc_RealDef_Oreal, all_980_2, all_980_0, all_1291_0, simplifying
% 299.43/67.85 | with (160), (174), (267), (1642), (1643), (1644), (1739) gives:
% 299.43/67.85 | (2067) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.85 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.85 | all_1291_0, v0) |
% 299.43/67.85 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.85 | all_1132_1) &
% 299.43/67.85 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_735_0,
% 299.43/67.85 | v0)) | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.85 | v0, all_735_0) &
% 299.43/67.85 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.85 | all_1132_1, v0))) &
% 299.43/67.85 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1291_0,
% 299.43/67.85 | v0) | (( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.85 | v0, all_1132_1) | ~
% 299.43/67.85 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.85 | all_735_0, v0)) & ( ~
% 299.43/67.85 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.85 | all_735_0) | ~
% 299.43/67.85 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.85 | all_1132_1, v0)))))
% 299.43/67.85 |
% 299.43/67.85 | GROUND_INST: instantiating (fact_mult__neg__neg) with all_1132_1, all_735_0,
% 299.43/67.85 | tc_RealDef_Oreal, all_980_2, all_980_0, all_1291_0, simplifying
% 299.43/67.85 | with (160), (174), (267), (1642), (1643), (1644), (1739) gives:
% 299.43/67.85 | (2068) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.85 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 299.43/67.85 | all_1132_1, v0) | ~
% 299.43/67.85 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_735_0, v0) |
% 299.43/67.85 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.85 | all_1291_0)))
% 299.43/67.85 |
% 299.43/67.85 | GROUND_INST: instantiating (fact_mult__nonpos__nonpos) with all_1132_1,
% 299.43/67.85 | all_735_0, tc_RealDef_Oreal, all_980_2, all_980_0, all_1291_0,
% 299.43/67.85 | simplifying with (168), (174), (267), (1642), (1643), (1644),
% 299.43/67.85 | (1739) gives:
% 299.43/67.85 | (2069) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.85 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.85 | all_1132_1, v0) | ~
% 299.43/67.85 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_735_0,
% 299.43/67.85 | v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.85 | all_1291_0)))
% 299.43/67.85 |
% 299.43/67.85 | GROUND_INST: instantiating (fact_split__mult__pos__le) with all_1132_1,
% 299.43/67.85 | all_735_0, tc_RealDef_Oreal, all_980_2, all_980_0, all_1291_0,
% 299.43/67.85 | simplifying with (168), (174), (267), (1642), (1643), (1644),
% 299.43/67.85 | (1739) gives:
% 299.43/67.85 | (2070) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.85 | $i(v0) & (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.85 | all_1291_0) | (( ~
% 299.43/67.85 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.85 | all_1132_1) | ~
% 299.43/67.85 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.85 | all_735_0)) & ( ~
% 299.43/67.85 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.85 | all_1132_1, v0) | ~
% 299.43/67.85 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.85 | all_735_0, v0)))))
% 299.43/67.85 |
% 299.43/67.85 | GROUND_INST: instantiating (fact_mult__eq__0__iff) with all_1132_1, all_735_0,
% 299.43/67.85 | tc_RealDef_Oreal, all_980_2, all_980_0, all_1291_0, simplifying
% 299.43/67.85 | with (161), (174), (267), (1642), (1643), (1644), (1739) gives:
% 299.43/67.85 | (2071) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.85 | $i(v0) & ( ~ (v0 = all_1291_0) | all_1291_0 = all_1132_1 |
% 299.43/67.85 | all_1291_0 = all_735_0) & (v0 = all_1291_0 | ( ~ (v0 =
% 299.43/67.85 | all_1132_1) & ~ (v0 = all_735_0))))
% 299.43/67.85 |
% 299.43/67.85 | GROUND_INST: instantiating (fact_no__zero__divisors) with all_1132_1,
% 299.43/67.85 | all_735_0, tc_RealDef_Oreal, all_980_2, all_980_0, all_1291_0,
% 299.43/67.85 | simplifying with (165), (174), (267), (1642), (1643), (1644),
% 299.43/67.85 | (1739) gives:
% 299.43/67.85 | (2072) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.85 | $i(v0) & ( ~ (v0 = all_1291_0) | all_1291_0 = all_1132_1 |
% 299.43/67.85 | all_1291_0 = all_735_0))
% 299.43/67.85 |
% 299.43/67.85 | GROUND_INST: instantiating (fact_mult__1__right) with all_1007_0,
% 299.43/67.85 | tc_RealDef_Oreal, all_980_2, all_1626_12, all_735_0, all_1626_0,
% 299.43/67.85 | simplifying with (169), (174), (193), (267), (1622), (1809),
% 299.43/67.85 | (1813) gives:
% 299.43/67.85 | (2073) all_1626_0 = all_1007_0
% 299.43/67.85 |
% 299.43/67.85 | GROUND_INST: instantiating (fact_inverse__nonnegative__iff__nonnegative) with
% 299.43/67.85 | all_1505_1, tc_RealDef_Oreal, all_1505_0, simplifying with (152),
% 299.43/67.85 | (174), (515), (1910) gives:
% 299.43/67.85 | (2074) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.85 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.85 | v0, all_1505_0) |
% 299.43/67.85 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.85 | all_1505_1)) & ( ~
% 299.43/67.85 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.85 | all_1505_1) |
% 299.43/67.85 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.85 | all_1505_0)))
% 299.43/67.85 |
% 299.43/67.85 | GROUND_INST: instantiating (fact_inverse__nonpositive__iff__nonpositive) with
% 299.43/67.85 | all_1505_1, tc_RealDef_Oreal, all_1505_0, simplifying with (152),
% 299.43/67.85 | (174), (515), (1910) gives:
% 299.43/67.85 | (2075) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.85 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.85 | all_1505_0, v0) |
% 299.43/67.85 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1505_1,
% 299.43/67.85 | v0)) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.85 | all_1505_1, v0) |
% 299.43/67.85 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1505_0,
% 299.43/67.85 | v0)))
% 299.43/67.85 |
% 299.43/67.85 | GROUND_INST: instantiating (fact_inverse__positive__iff__positive) with
% 299.43/67.85 | all_1505_1, tc_RealDef_Oreal, all_1505_0, simplifying with (152),
% 299.43/67.85 | (174), (515), (1910) gives:
% 299.43/67.85 | (2076) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.85 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.85 | all_1505_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 299.43/67.85 | v0, all_1505_1)) & ( ~
% 299.43/67.85 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_1505_1)
% 299.43/67.85 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.85 | all_1505_0)))
% 299.43/67.85 |
% 299.43/67.85 | GROUND_INST: instantiating (fact_inverse__negative__iff__negative) with
% 299.43/67.85 | all_1505_1, tc_RealDef_Oreal, all_1505_0, simplifying with (152),
% 299.43/67.85 | (174), (515), (1910) gives:
% 299.43/67.85 | (2077) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.85 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 299.43/67.85 | all_1505_0, v0) |
% 299.43/67.85 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1505_1, v0))
% 299.43/67.85 | & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1505_1,
% 299.43/67.85 | v0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 299.43/67.85 | all_1505_0, v0)))
% 299.43/67.85 |
% 299.43/67.85 | GROUND_INST: instantiating (fact_inverse__positive__imp__positive) with
% 299.43/67.85 | all_1505_1, tc_RealDef_Oreal, all_1505_0, simplifying with (164),
% 299.43/67.85 | (174), (515), (1910) gives:
% 299.43/67.85 | (2078) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.85 | $i(v0) & (v0 = all_1505_1 | ~
% 299.43/67.85 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_1505_0)
% 299.43/67.85 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.85 | all_1505_1)))
% 299.43/67.85 |
% 299.43/67.85 | GROUND_INST: instantiating (fact_inverse__negative__imp__negative) with
% 299.43/67.85 | all_1505_1, tc_RealDef_Oreal, all_1505_0, simplifying with (164),
% 299.43/67.85 | (174), (515), (1910) gives:
% 299.43/67.85 | (2079) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.85 | $i(v0) & (v0 = all_1505_1 | ~
% 299.43/67.85 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1505_0, v0)
% 299.43/67.85 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1505_1,
% 299.43/67.85 | v0)))
% 299.43/67.85 |
% 299.43/67.85 | GROUND_INST: instantiating (fact_negative__imp__inverse__negative) with
% 299.43/67.85 | all_1505_1, tc_RealDef_Oreal, all_1505_0, simplifying with (164),
% 299.43/67.85 | (174), (515), (1910) gives:
% 299.43/67.85 | (2080) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.85 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 299.43/67.85 | all_1505_1, v0) |
% 299.43/67.85 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1505_0,
% 299.43/67.85 | v0)))
% 299.43/67.85 |
% 299.43/67.85 | GROUND_INST: instantiating (fact_nonzero__imp__inverse__nonzero) with
% 299.43/67.85 | all_1505_1, tc_RealDef_Oreal, all_1505_0, simplifying with (166),
% 299.43/67.85 | (174), (515), (1910) gives:
% 299.43/67.85 | (2081) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.85 | $i(v0) & ( ~ (v0 = all_1505_0) | all_1505_0 = all_1505_1))
% 299.43/67.85 |
% 299.43/67.85 | GROUND_INST: instantiating (fact_inverse__nonzero__iff__nonzero) with
% 299.43/67.85 | all_1505_1, tc_RealDef_Oreal, all_1505_0, simplifying with (154),
% 299.43/67.85 | (174), (515), (1910) gives:
% 299.43/67.85 | (2082) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.85 | $i(v0) & ( ~ (v0 = all_1505_0) | all_1505_0 = all_1505_1) & ( ~
% 299.43/67.85 | (v0 = all_1505_1) | all_1505_0 = all_1505_1))
% 299.43/67.85 |
% 299.43/67.85 | GROUND_INST: instantiating (fact_neg__0__le__iff__le) with all_735_0,
% 299.43/67.85 | tc_RealDef_Oreal, all_978_2, simplifying with (162), (174),
% 299.43/67.85 | (1576), (1644) gives:
% 299.43/67.85 | (2083) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.85 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.85 | v0, all_978_2) |
% 299.43/67.85 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_735_0,
% 299.43/67.85 | v0)) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.85 | all_735_0, v0) |
% 299.43/67.85 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.85 | all_978_2)))
% 299.43/67.85 |
% 299.43/67.85 | GROUND_INST: instantiating (fact_neg__le__0__iff__le) with all_735_0,
% 299.43/67.85 | tc_RealDef_Oreal, all_978_2, simplifying with (162), (174),
% 299.43/67.85 | (1576), (1644) gives:
% 299.43/67.85 | (2084) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.85 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.85 | v0, all_735_0) |
% 299.43/67.85 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_978_2,
% 299.43/67.85 | v0)) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.85 | all_978_2, v0) |
% 299.43/67.85 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.85 | all_735_0)))
% 299.43/67.85 |
% 299.43/67.85 | GROUND_INST: instantiating (fact_neg__0__less__iff__less) with all_735_0,
% 299.43/67.85 | tc_RealDef_Oreal, all_978_2, simplifying with (162), (174),
% 299.43/67.85 | (1576), (1644) gives:
% 299.43/67.85 | (2085) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.85 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.85 | all_978_2) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 299.43/67.85 | all_735_0, v0)) & ( ~
% 299.43/67.85 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_735_0, v0) |
% 299.43/67.85 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_978_2)))
% 299.43/67.85 |
% 299.43/67.85 | GROUND_INST: instantiating (fact_neg__less__0__iff__less) with all_735_0,
% 299.43/67.85 | tc_RealDef_Oreal, all_978_2, simplifying with (162), (174),
% 299.43/67.85 | (1576), (1644) gives:
% 299.43/67.85 | (2086) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.85 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.85 | all_735_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 299.43/67.85 | all_978_2, v0)) & ( ~
% 299.43/67.85 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_978_2, v0) |
% 299.43/67.85 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_735_0)))
% 299.43/67.85 |
% 299.43/67.85 | GROUND_INST: instantiating (fact_neg__equal__0__iff__equal) with all_735_0,
% 299.43/67.85 | tc_RealDef_Oreal, all_978_2, simplifying with (170), (174),
% 299.43/67.85 | (1576), (1644) gives:
% 299.43/67.85 | (2087) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.85 | $i(v0) & ( ~ (v0 = all_978_2) | all_978_2 = all_735_0) & ( ~ (v0 =
% 299.43/67.85 | all_735_0) | all_978_2 = all_735_0))
% 299.43/67.85 |
% 299.43/67.85 | GROUND_INST: instantiating (fact_neg__equal__zero) with all_735_0,
% 299.43/67.85 | tc_RealDef_Oreal, all_978_2, simplifying with (157), (174),
% 299.43/67.85 | (1576), (1644) gives:
% 299.43/67.85 | (2088) ? [v0: any] : (( ~ (all_978_2 = all_735_0) | (v0 = all_735_0 &
% 299.43/67.85 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_735_0)) &
% 299.43/67.85 | (all_978_2 = all_735_0 | ( ~ (v0 = all_735_0) &
% 299.43/67.85 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0))))
% 299.43/67.85 |
% 299.43/67.85 | GROUND_INST: instantiating (fact_abs__ge__zero) with all_1631_19,
% 299.43/67.85 | tc_RealDef_Oreal, all_1648_5, simplifying with (155), (174),
% 299.43/67.85 | (1866), (1878) gives:
% 299.43/67.85 | (2089) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.85 | $i(v0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 299.43/67.85 | all_1648_5))
% 299.43/67.85 |
% 299.43/67.85 | GROUND_INST: instantiating (fact_abs__not__less__zero) with all_1631_19,
% 299.43/67.85 | tc_RealDef_Oreal, all_1648_5, simplifying with (155), (174),
% 299.43/67.85 | (1866), (1878) gives:
% 299.43/67.85 | (2090) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.85 | $i(v0) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 299.43/67.85 | all_1648_5, v0))
% 299.43/67.85 |
% 299.43/67.85 | GROUND_INST: instantiating (fact_abs__eq__0) with all_1631_19,
% 299.43/67.85 | tc_RealDef_Oreal, all_1648_5, simplifying with (155), (174),
% 299.43/67.85 | (1866), (1878) gives:
% 299.43/67.85 | (2091) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.85 | $i(v0) & ( ~ (v0 = all_1648_5) | all_1648_5 = all_1631_19) & ( ~
% 299.43/67.85 | (v0 = all_1631_19) | all_1648_5 = all_1631_19))
% 299.43/67.85 |
% 299.43/67.85 | GROUND_INST: instantiating (fact_zero__less__abs__iff) with all_1631_19,
% 299.43/67.85 | tc_RealDef_Oreal, all_1648_5, simplifying with (155), (174),
% 299.43/67.85 | (1866), (1878) gives:
% 299.43/67.86 | (2092) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.86 | $i(v0) & ( ~ (v0 = all_1631_19) | ~
% 299.43/67.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1631_19,
% 299.43/67.86 | all_1648_5)) & (v0 = all_1631_19 |
% 299.43/67.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 299.43/67.86 | all_1648_5)))
% 299.43/67.86 |
% 299.43/67.86 | GROUND_INST: instantiating (fact_abs__le__zero__iff) with all_1631_19,
% 299.43/67.86 | tc_RealDef_Oreal, all_1648_5, simplifying with (155), (174),
% 299.43/67.86 | (1866), (1878) gives:
% 299.43/67.86 | (2093) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 299.43/67.86 | $i(v0) & ( ~ (v0 = all_1631_19) |
% 299.43/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1648_5,
% 299.43/67.86 | all_1631_19)) & (v0 = all_1631_19 | ~
% 299.43/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1648_5,
% 299.43/67.86 | v0)))
% 299.43/67.86 |
% 299.43/67.86 | DELTA: instantiating (2090) with fresh symbol all_1712_0 gives:
% 299.43/67.86 | (2094) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1712_0 &
% 299.43/67.86 | $i(all_1712_0) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 299.43/67.86 | all_1648_5, all_1712_0)
% 299.43/67.86 |
% 299.43/67.86 | ALPHA: (2094) implies:
% 299.43/67.86 | (2095) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1712_0
% 299.43/67.86 |
% 299.43/67.86 | DELTA: instantiating (2089) with fresh symbol all_1714_0 gives:
% 299.43/67.86 | (2096) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1714_0 &
% 299.43/67.86 | $i(all_1714_0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.86 | all_1714_0, all_1648_5)
% 299.43/67.86 |
% 299.43/67.86 | ALPHA: (2096) implies:
% 299.43/67.86 | (2097) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1714_0
% 299.43/67.86 |
% 299.43/67.86 | DELTA: instantiating (1981) with fresh symbol all_1770_0 gives:
% 299.43/67.86 | (2098) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1770_0 &
% 299.43/67.86 | $i(all_1770_0) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 299.43/67.86 | all_1770_0, all_1007_0)
% 299.43/67.86 |
% 299.43/67.86 | ALPHA: (2098) implies:
% 299.43/67.86 | (2099) ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1770_0,
% 299.43/67.86 | all_1007_0)
% 299.43/67.86 | (2100) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1770_0
% 299.43/67.86 |
% 299.43/67.86 | DELTA: instantiating (1951) with fresh symbol all_1778_0 gives:
% 299.43/67.86 | (2101) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1778_0 &
% 299.43/67.86 | $i(all_1778_0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 299.43/67.86 | all_1778_0, all_735_0)
% 299.43/67.86 |
% 299.43/67.86 | ALPHA: (2101) implies:
% 299.43/67.86 | (2102) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1778_0
% 299.43/67.86 |
% 299.43/67.86 | DELTA: instantiating (1950) with fresh symbol all_1780_0 gives:
% 299.43/67.86 | (2103) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1780_0 &
% 299.43/67.86 | $i(all_1780_0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.86 | all_1780_0, all_735_0)
% 299.43/67.86 |
% 299.43/67.86 | ALPHA: (2103) implies:
% 299.43/67.86 | (2104) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1780_0
% 299.43/67.86 |
% 299.43/67.86 | DELTA: instantiating (1953) with fresh symbol all_1788_0 gives:
% 299.43/67.86 | (2105) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1788_0 &
% 299.43/67.86 | $i(all_1788_0) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 299.43/67.86 | all_735_0, all_1788_0)
% 299.43/67.86 |
% 299.43/67.86 | ALPHA: (2105) implies:
% 299.43/67.86 | (2106) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1788_0
% 299.43/67.86 |
% 299.43/67.86 | DELTA: instantiating (1952) with fresh symbol all_1790_0 gives:
% 299.43/67.86 | (2107) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1790_0 &
% 299.43/67.86 | $i(all_1790_0) & ~
% 299.43/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_735_0,
% 299.43/67.86 | all_1790_0)
% 299.43/67.86 |
% 299.43/67.86 | ALPHA: (2107) implies:
% 299.43/67.86 | (2108) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1790_0
% 299.43/67.86 |
% 299.43/67.86 | DELTA: instantiating (1958) with fresh symbol all_1796_0 gives:
% 299.43/67.86 | (2109) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1796_0 &
% 299.43/67.86 | $i(all_1796_0) & ( ~ (all_1796_0 = all_1007_0) | all_1007_0 =
% 299.43/67.86 | v_t____)
% 299.43/67.86 |
% 299.43/67.86 | ALPHA: (2109) implies:
% 299.43/67.86 | (2110) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1796_0
% 299.43/67.86 |
% 299.43/67.86 | DELTA: instantiating (1957) with fresh symbol all_1812_0 gives:
% 299.43/67.86 | (2111) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1812_0 &
% 299.43/67.86 | $i(all_1812_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 299.43/67.86 | all_1812_0, all_1132_1) |
% 299.43/67.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1812_0,
% 299.43/67.86 | all_1505_3))
% 299.43/67.86 |
% 299.43/67.86 | ALPHA: (2111) implies:
% 299.43/67.86 | (2112) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1812_0
% 299.43/67.86 |
% 299.43/67.86 | DELTA: instantiating (1956) with fresh symbol all_1814_0 gives:
% 299.43/67.86 | (2113) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1814_0 &
% 299.43/67.86 | $i(all_1814_0) & ( ~
% 299.43/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1814_0,
% 299.43/67.86 | all_1132_1) |
% 299.43/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1814_0,
% 299.43/67.86 | all_1505_3))
% 299.43/67.86 |
% 299.43/67.86 | ALPHA: (2113) implies:
% 299.43/67.86 | (2114) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1814_0
% 299.43/67.86 |
% 299.43/67.86 | DELTA: instantiating (2080) with fresh symbol all_1838_0 gives:
% 299.43/67.86 | (2115) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1838_0 &
% 299.43/67.86 | $i(all_1838_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 299.43/67.86 | all_1505_1, all_1838_0) |
% 299.43/67.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1505_0,
% 299.43/67.86 | all_1838_0))
% 299.43/67.86 |
% 299.43/67.86 | ALPHA: (2115) implies:
% 299.43/67.86 | (2116) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1838_0
% 299.43/67.86 |
% 299.43/67.86 | DELTA: instantiating (1954) with fresh symbol all_1857_0 gives:
% 299.43/67.86 | (2117) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1857_0 &
% 299.43/67.86 | $i(all_1857_0) & ( ~ (all_1857_0 = all_1505_3) | all_1505_3 =
% 299.43/67.86 | all_1132_1)
% 299.43/67.86 |
% 299.43/67.86 | ALPHA: (2117) implies:
% 299.43/67.86 | (2118) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1857_0
% 299.43/67.86 |
% 299.43/67.86 | DELTA: instantiating (1960) with fresh symbol all_1859_0 gives:
% 299.43/67.86 | (2119) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1859_0 &
% 299.43/67.86 | $i(all_1859_0) & ( ~
% 299.43/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1859_0,
% 299.43/67.86 | v_t____) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 299.43/67.86 | all_1859_0, all_1007_0))
% 299.43/67.86 |
% 299.43/67.86 | ALPHA: (2119) implies:
% 299.43/67.86 | (2120) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1859_0
% 299.43/67.86 |
% 299.43/67.86 | DELTA: instantiating (2081) with fresh symbol all_1879_0 gives:
% 299.43/67.86 | (2121) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1879_0 &
% 299.43/67.86 | $i(all_1879_0) & ( ~ (all_1879_0 = all_1505_0) | all_1505_0 =
% 299.43/67.86 | all_1505_1)
% 299.43/67.86 |
% 299.43/67.86 | ALPHA: (2121) implies:
% 300.00/67.86 | (2122) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1879_0
% 300.00/67.86 |
% 300.00/67.86 | DELTA: instantiating (1975) with fresh symbol all_1886_0 gives:
% 300.00/67.86 | (2123) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1886_0 &
% 300.00/67.86 | $i(all_1886_0) & ( ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1648_5,
% 300.00/67.86 | all_1886_0) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.86 | all_1631_1, all_1886_0) |
% 300.00/67.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1648_0,
% 300.00/67.86 | all_1886_0))
% 300.00/67.86 |
% 300.00/67.86 | ALPHA: (2123) implies:
% 300.00/67.86 | (2124) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1886_0
% 300.00/67.86 |
% 300.00/67.86 | DELTA: instantiating (1973) with fresh symbol all_1888_0 gives:
% 300.00/67.86 | (2125) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1888_0 &
% 300.00/67.86 | $i(all_1888_0) & ( ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1888_0,
% 300.00/67.86 | all_1631_1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.86 | all_1888_0, all_1648_5) |
% 300.00/67.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1888_0,
% 300.00/67.86 | all_1648_0))
% 300.00/67.86 |
% 300.00/67.86 | ALPHA: (2125) implies:
% 300.00/67.86 | (2126) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1888_0
% 300.00/67.86 |
% 300.00/67.86 | DELTA: instantiating (1972) with fresh symbol all_1890_0 gives:
% 300.00/67.86 | (2127) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1890_0 &
% 300.00/67.86 | $i(all_1890_0) & ( ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1890_0,
% 300.00/67.86 | all_1648_5) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.86 | all_1890_0, all_1631_1) |
% 300.00/67.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1890_0,
% 300.00/67.86 | all_1648_0))
% 300.00/67.86 |
% 300.00/67.86 | ALPHA: (2127) implies:
% 300.00/67.86 | (2128) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1890_0
% 300.00/67.86 |
% 300.00/67.86 | DELTA: instantiating (2053) with fresh symbol all_1901_0 gives:
% 300.00/67.86 | (2129) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1901_0 &
% 300.00/67.86 | $i(all_1901_0) & ( ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1132_1,
% 300.00/67.86 | all_1901_0) | ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_t____,
% 300.00/67.86 | all_1901_0) |
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1901_0,
% 300.00/67.86 | all_1291_3))
% 300.00/67.86 |
% 300.00/67.86 | ALPHA: (2129) implies:
% 300.00/67.86 | (2130) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1901_0
% 300.00/67.86 |
% 300.00/67.86 | DELTA: instantiating (2052) with fresh symbol all_1903_0 gives:
% 300.00/67.86 | (2131) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1903_0 &
% 300.00/67.86 | $i(all_1903_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.86 | all_1132_1, all_1903_0) | ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_t____,
% 300.00/67.86 | all_1903_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.86 | all_1903_0, all_1291_3))
% 300.00/67.86 |
% 300.00/67.86 | ALPHA: (2131) implies:
% 300.00/67.86 | (2132) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1903_0
% 300.00/67.86 |
% 300.00/67.86 | DELTA: instantiating (2056) with fresh symbol all_1907_0 gives:
% 300.00/67.86 | (2133) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1907_0 &
% 300.00/67.86 | $i(all_1907_0) & ( ~ (all_1907_0 = all_1291_3) | all_1291_3 =
% 300.00/67.86 | all_1132_1 | all_1291_3 = v_t____)
% 300.00/67.86 |
% 300.00/67.86 | ALPHA: (2133) implies:
% 300.00/67.86 | (2134) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1907_0
% 300.00/67.86 |
% 300.00/67.86 | DELTA: instantiating (1974) with fresh symbol all_1911_0 gives:
% 300.00/67.86 | (2135) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1911_0 &
% 300.00/67.86 | $i(all_1911_0) & ( ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1648_5,
% 300.00/67.86 | all_1911_0) | ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1631_1,
% 300.00/67.86 | all_1911_0) |
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1648_0,
% 300.00/67.86 | all_1911_0))
% 300.00/67.86 |
% 300.00/67.86 | ALPHA: (2135) implies:
% 300.00/67.86 | (2136) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1911_0
% 300.00/67.86 |
% 300.00/67.86 | DELTA: instantiating (1970) with fresh symbol all_1913_0 gives:
% 300.00/67.86 | (2137) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1913_0 &
% 300.00/67.86 | $i(all_1913_0) & ( ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1913_0,
% 300.00/67.86 | all_1648_5) | ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1913_0,
% 300.00/67.86 | all_1631_1) |
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1913_0,
% 300.00/67.86 | all_1648_0))
% 300.00/67.86 |
% 300.00/67.86 | ALPHA: (2137) implies:
% 300.00/67.86 | (2138) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1913_0
% 300.00/67.86 |
% 300.00/67.86 | DELTA: instantiating (2038) with fresh symbol all_1919_0 gives:
% 300.00/67.86 | (2139) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1919_0 &
% 300.00/67.86 | $i(all_1919_0) & ( ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1505_1,
% 300.00/67.86 | all_1919_0) | ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_t____,
% 300.00/67.86 | all_1919_0) |
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1919_0,
% 300.00/67.86 | all_1566_1))
% 300.00/67.86 |
% 300.00/67.86 | ALPHA: (2139) implies:
% 300.00/67.86 | (2140) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1919_0
% 300.00/67.86 |
% 300.00/67.86 | DELTA: instantiating (1969) with fresh symbol all_1948_0 gives:
% 300.00/67.86 | (2141) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1948_0 &
% 300.00/67.86 | $i(all_1948_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.86 | all_1631_1, all_1948_0) | ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1631_2,
% 300.00/67.86 | all_1948_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.86 | all_1631_0, all_1948_0))
% 300.00/67.86 |
% 300.00/67.86 | ALPHA: (2141) implies:
% 300.00/67.86 | (2142) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1948_0
% 300.00/67.86 |
% 300.00/67.86 | DELTA: instantiating (1967) with fresh symbol all_1950_0 gives:
% 300.00/67.86 | (2143) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1950_0 &
% 300.00/67.86 | $i(all_1950_0) & ( ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1631_1,
% 300.00/67.86 | all_1950_0) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.86 | all_1631_2, all_1950_0) |
% 300.00/67.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1631_0,
% 300.00/67.86 | all_1950_0))
% 300.00/67.86 |
% 300.00/67.86 | ALPHA: (2143) implies:
% 300.00/67.86 | (2144) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1950_0
% 300.00/67.86 |
% 300.00/67.86 | DELTA: instantiating (1966) with fresh symbol all_1952_0 gives:
% 300.00/67.86 | (2145) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1952_0 &
% 300.00/67.86 | $i(all_1952_0) & ( ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1631_2,
% 300.00/67.86 | all_1952_0) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.86 | all_1631_1, all_1952_0) |
% 300.00/67.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1631_0,
% 300.00/67.86 | all_1952_0))
% 300.00/67.86 |
% 300.00/67.86 | ALPHA: (2145) implies:
% 300.00/67.86 | (2146) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1952_0
% 300.00/67.86 |
% 300.00/67.86 | DELTA: instantiating (2072) with fresh symbol all_1959_0 gives:
% 300.00/67.86 | (2147) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1959_0 &
% 300.00/67.86 | $i(all_1959_0) & ( ~ (all_1959_0 = all_1291_0) | all_1291_0 =
% 300.00/67.86 | all_1132_1 | all_1291_0 = all_735_0)
% 300.00/67.86 |
% 300.00/67.86 | ALPHA: (2147) implies:
% 300.00/67.86 | (2148) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1959_0
% 300.00/67.86 |
% 300.00/67.86 | DELTA: instantiating (2047) with fresh symbol all_1961_0 gives:
% 300.00/67.86 | (2149) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1961_0 &
% 300.00/67.86 | $i(all_1961_0) & ( ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1961_0,
% 300.00/67.86 | all_1132_1) | ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1961_0,
% 300.00/67.86 | v_t____) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.86 | all_1961_0, all_1291_3))
% 300.00/67.86 |
% 300.00/67.86 | ALPHA: (2149) implies:
% 300.00/67.86 | (2150) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1961_0
% 300.00/67.86 |
% 300.00/67.86 | DELTA: instantiating (2046) with fresh symbol all_1963_0 gives:
% 300.00/67.86 | (2151) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1963_0 &
% 300.00/67.86 | $i(all_1963_0) & ( ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1963_0,
% 300.00/67.86 | all_1132_1) | ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_t____,
% 300.00/67.86 | all_1963_0) |
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1291_3,
% 300.00/67.86 | all_1963_0))
% 300.00/67.86 |
% 300.00/67.86 | ALPHA: (2151) implies:
% 300.00/67.86 | (2152) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1963_0
% 300.00/67.86 |
% 300.00/67.86 | DELTA: instantiating (2045) with fresh symbol all_1965_0 gives:
% 300.00/67.86 | (2153) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1965_0 &
% 300.00/67.86 | $i(all_1965_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.86 | all_1965_0, v_t____) | ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1132_1,
% 300.00/67.86 | all_1965_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.86 | all_1291_3, all_1965_0))
% 300.00/67.86 |
% 300.00/67.86 | ALPHA: (2153) implies:
% 300.00/67.86 | (2154) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1965_0
% 300.00/67.86 |
% 300.00/67.86 | DELTA: instantiating (2033) with fresh symbol all_1967_0 gives:
% 300.00/67.86 | (2155) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1967_0 &
% 300.00/67.86 | $i(all_1967_0) & ( ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1967_0,
% 300.00/67.86 | v_t____) | ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1505_1,
% 300.00/67.86 | all_1967_0) |
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1566_1,
% 300.00/67.86 | all_1967_0))
% 300.00/67.86 |
% 300.00/67.86 | ALPHA: (2155) implies:
% 300.00/67.86 | (2156) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1967_0
% 300.00/67.86 |
% 300.00/67.86 | DELTA: instantiating (2032) with fresh symbol all_1969_0 gives:
% 300.00/67.86 | (2157) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1969_0 &
% 300.00/67.86 | $i(all_1969_0) & ( ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1969_0,
% 300.00/67.86 | all_1505_1) | ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1969_0,
% 300.00/67.86 | v_t____) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.86 | all_1969_0, all_1566_1))
% 300.00/67.86 |
% 300.00/67.86 | ALPHA: (2157) implies:
% 300.00/67.86 | (2158) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1969_0
% 300.00/67.86 |
% 300.00/67.86 | DELTA: instantiating (2031) with fresh symbol all_1973_0 gives:
% 300.00/67.86 | (2159) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1973_0 &
% 300.00/67.86 | $i(all_1973_0) & ( ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1973_0,
% 300.00/67.86 | all_1505_1) | ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_t____,
% 300.00/67.86 | all_1973_0) |
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1566_1,
% 300.00/67.86 | all_1973_0))
% 300.00/67.86 |
% 300.00/67.86 | ALPHA: (2159) implies:
% 300.00/67.86 | (2160) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1973_0
% 300.00/67.86 |
% 300.00/67.86 | DELTA: instantiating (2030) with fresh symbol all_1975_0 gives:
% 300.00/67.86 | (2161) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1975_0 &
% 300.00/67.86 | $i(all_1975_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.86 | all_1975_0, v_t____) | ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1505_1,
% 300.00/67.86 | all_1975_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.86 | all_1566_1, all_1975_0))
% 300.00/67.86 |
% 300.00/67.86 | ALPHA: (2161) implies:
% 300.00/67.86 | (2162) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1975_0
% 300.00/67.86 |
% 300.00/67.86 | DELTA: instantiating (2044) with fresh symbol all_1977_0 gives:
% 300.00/67.86 | (2163) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1977_0 &
% 300.00/67.86 | $i(all_1977_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.86 | all_1977_0, all_1132_1) | ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1977_0,
% 300.00/67.86 | v_t____) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.86 | all_1977_0, all_1291_3))
% 300.00/67.86 |
% 300.00/67.86 | ALPHA: (2163) implies:
% 300.00/67.86 | (2164) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1977_0
% 300.00/67.86 |
% 300.00/67.86 | DELTA: instantiating (1968) with fresh symbol all_1979_0 gives:
% 300.00/67.86 | (2165) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1979_0 &
% 300.00/67.86 | $i(all_1979_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.86 | all_1979_0, all_1631_1) | ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1979_0,
% 300.00/67.86 | all_1631_2) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.86 | all_1979_0, all_1631_0))
% 300.00/67.86 |
% 300.00/67.86 | ALPHA: (2165) implies:
% 300.00/67.86 | (2166) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1979_0
% 300.00/67.86 |
% 300.00/67.86 | DELTA: instantiating (1993) with fresh symbol all_1984_0 gives:
% 300.00/67.86 | (2167) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1984_0 &
% 300.00/67.86 | $i(all_1984_0) & ( ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1566_1,
% 300.00/67.86 | all_1984_0) | ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1007_0,
% 300.00/67.86 | all_1984_0) |
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1984_0,
% 300.00/67.86 | all_1626_2))
% 300.00/67.86 |
% 300.00/67.86 | ALPHA: (2167) implies:
% 300.00/67.86 | (2168) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1984_0
% 300.00/67.86 |
% 300.00/67.86 | DELTA: instantiating (1978) with fresh symbol all_1987_0 gives:
% 300.00/67.86 | (2169) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1987_0 &
% 300.00/67.86 | $i(all_1987_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.86 | all_1648_5, all_1987_0) | ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1631_1,
% 300.00/67.86 | all_1987_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.86 | all_1648_0, all_1987_0))
% 300.00/67.86 |
% 300.00/67.86 | ALPHA: (2169) implies:
% 300.00/67.86 | (2170) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1987_0
% 300.00/67.86 |
% 300.00/67.86 | DELTA: instantiating (2023) with fresh symbol all_1990_0 gives:
% 300.00/67.86 | (2171) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1990_0 &
% 300.00/67.86 | $i(all_1990_0) & ( ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1505_3,
% 300.00/67.86 | all_1990_0) | ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 300.00/67.86 | all_1990_0) |
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1990_0,
% 300.00/67.86 | all_1505_1))
% 300.00/67.86 |
% 300.00/67.86 | ALPHA: (2171) implies:
% 300.00/67.86 | (2172) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1990_0
% 300.00/67.86 |
% 300.00/67.86 | DELTA: instantiating (2048) with fresh symbol all_1992_0 gives:
% 300.00/67.86 | (2173) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1992_0 &
% 300.00/67.86 | $i(all_1992_0) & ( ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1992_0,
% 300.00/67.86 | v_t____) | ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1132_1,
% 300.00/67.86 | all_1992_0) |
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1291_3,
% 300.00/67.86 | all_1992_0))
% 300.00/67.86 |
% 300.00/67.86 | ALPHA: (2173) implies:
% 300.00/67.86 | (2174) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1992_0
% 300.00/67.86 |
% 300.00/67.86 | DELTA: instantiating (2029) with fresh symbol all_1996_0 gives:
% 300.00/67.86 | (2175) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1996_0 &
% 300.00/67.86 | $i(all_1996_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.86 | all_1996_0, all_1505_1) | ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1996_0,
% 300.00/67.86 | v_t____) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.86 | all_1996_0, all_1566_1))
% 300.00/67.86 |
% 300.00/67.86 | ALPHA: (2175) implies:
% 300.00/67.86 | (2176) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1996_0
% 300.00/67.86 |
% 300.00/67.86 | DELTA: instantiating (2028) with fresh symbol all_1998_0 gives:
% 300.00/67.86 | (2177) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1998_0 &
% 300.00/67.86 | $i(all_1998_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.86 | all_1998_0, all_1566_1) | ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1998_0,
% 300.00/67.86 | v_t____) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.86 | all_1998_0, all_1505_1))
% 300.00/67.86 |
% 300.00/67.86 | ALPHA: (2177) implies:
% 300.00/67.86 | (2178) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1998_0
% 300.00/67.86 |
% 300.00/67.86 | DELTA: instantiating (1977) with fresh symbol all_2000_0 gives:
% 300.00/67.86 | (2179) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2000_0 &
% 300.00/67.86 | $i(all_2000_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.86 | all_2000_0, all_1648_5) | ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2000_0,
% 300.00/67.86 | all_1631_1) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.86 | all_2000_0, all_1648_0))
% 300.00/67.86 |
% 300.00/67.86 | ALPHA: (2179) implies:
% 300.00/67.86 | (2180) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2000_0
% 300.00/67.86 |
% 300.00/67.86 | DELTA: instantiating (2027) with fresh symbol all_2002_0 gives:
% 300.00/67.86 | (2181) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2002_0 &
% 300.00/67.86 | $i(all_2002_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.86 | all_2002_0, all_1505_1) | ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_t____,
% 300.00/67.86 | all_2002_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.86 | all_1566_1, all_2002_0))
% 300.00/67.86 |
% 300.00/67.86 | ALPHA: (2181) implies:
% 300.00/67.86 | (2182) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2002_0
% 300.00/67.86 |
% 300.00/67.86 | DELTA: instantiating (2022) with fresh symbol all_2004_0 gives:
% 300.00/67.86 | (2183) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2004_0 &
% 300.00/67.86 | $i(all_2004_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.86 | all_1505_3, all_2004_0) | ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_m____,
% 300.00/67.86 | all_2004_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.86 | all_2004_0, all_1505_1))
% 300.00/67.86 |
% 300.00/67.86 | ALPHA: (2183) implies:
% 300.00/67.86 | (2184) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2004_0
% 300.00/67.86 |
% 300.00/67.86 | DELTA: instantiating (1976) with fresh symbol all_2006_0 gives:
% 300.00/67.86 | (2185) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2006_0 &
% 300.00/67.86 | $i(all_2006_0) & ( ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1631_1,
% 300.00/67.86 | all_2006_0) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.86 | all_1648_5, all_2006_0) |
% 300.00/67.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1648_0,
% 300.00/67.86 | all_2006_0))
% 300.00/67.86 |
% 300.00/67.86 | ALPHA: (2185) implies:
% 300.00/67.86 | (2186) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2006_0
% 300.00/67.86 |
% 300.00/67.86 | DELTA: instantiating (2011) with fresh symbol all_2009_0 gives:
% 300.00/67.86 | (2187) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2009_0 &
% 300.00/67.86 | $i(all_2009_0) & ( ~ (all_2009_0 = all_1626_0) | all_1626_0 =
% 300.00/67.86 | all_1007_0 | all_1626_0 = all_735_0)
% 300.00/67.86 |
% 300.00/67.86 | ALPHA: (2187) implies:
% 300.00/67.86 | (2188) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2009_0
% 300.00/67.86 |
% 300.00/67.86 | DELTA: instantiating (2008) with fresh symbol all_2011_0 gives:
% 300.00/67.86 | (2189) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2011_0 &
% 300.00/67.86 | $i(all_2011_0) & ( ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1007_0,
% 300.00/67.86 | all_2011_0) | ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_735_0,
% 300.00/67.86 | all_2011_0) |
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2011_0,
% 300.00/67.86 | all_1626_0))
% 300.00/67.86 |
% 300.00/67.86 | ALPHA: (2189) implies:
% 300.00/67.86 | (2190) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2011_0
% 300.00/67.86 |
% 300.00/67.86 | DELTA: instantiating (2007) with fresh symbol all_2013_0 gives:
% 300.00/67.86 | (2191) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2013_0 &
% 300.00/67.86 | $i(all_2013_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.86 | all_1007_0, all_2013_0) | ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_735_0,
% 300.00/67.86 | all_2013_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.86 | all_2013_0, all_1626_0))
% 300.00/67.86 |
% 300.00/67.86 | ALPHA: (2191) implies:
% 300.00/67.86 | (2192) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2013_0
% 300.00/67.86 |
% 300.00/67.86 | DELTA: instantiating (2069) with fresh symbol all_2015_0 gives:
% 300.00/67.86 | (2193) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2015_0 &
% 300.00/67.86 | $i(all_2015_0) & ( ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1132_1,
% 300.00/67.86 | all_2015_0) | ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_735_0,
% 300.00/67.86 | all_2015_0) |
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2015_0,
% 300.00/67.86 | all_1291_0))
% 300.00/67.86 |
% 300.00/67.86 | ALPHA: (2193) implies:
% 300.00/67.86 | (2194) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2015_0
% 300.00/67.86 |
% 300.00/67.86 | DELTA: instantiating (2037) with fresh symbol all_2017_0 gives:
% 300.00/67.86 | (2195) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2017_0 &
% 300.00/67.86 | $i(all_2017_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.86 | all_1505_1, all_2017_0) | ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_t____,
% 300.00/67.86 | all_2017_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.86 | all_2017_0, all_1566_1))
% 300.00/67.86 |
% 300.00/67.86 | ALPHA: (2195) implies:
% 300.00/67.86 | (2196) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2017_0
% 300.00/67.86 |
% 300.00/67.86 | DELTA: instantiating (1992) with fresh symbol all_2019_0 gives:
% 300.00/67.86 | (2197) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2019_0 &
% 300.00/67.86 | $i(all_2019_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.86 | all_1566_1, all_2019_0) | ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1007_0,
% 300.00/67.86 | all_2019_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.86 | all_2019_0, all_1626_2))
% 300.00/67.86 |
% 300.00/67.86 | ALPHA: (2197) implies:
% 300.00/67.86 | (2198) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2019_0
% 300.00/67.86 |
% 300.00/67.86 | DELTA: instantiating (1965) with fresh symbol all_2024_0 gives:
% 300.00/67.86 | (2199) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2024_0 &
% 300.00/67.86 | $i(all_2024_0) & ( ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1631_1,
% 300.00/67.86 | all_2024_0) | ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1631_2,
% 300.00/67.86 | all_2024_0) |
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1631_0,
% 300.00/67.86 | all_2024_0))
% 300.00/67.86 |
% 300.00/67.86 | ALPHA: (2199) implies:
% 300.00/67.86 | (2200) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2024_0
% 300.00/67.86 |
% 300.00/67.86 | DELTA: instantiating (1963) with fresh symbol all_2026_0 gives:
% 300.00/67.86 | (2201) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2026_0 &
% 300.00/67.86 | $i(all_2026_0) & ( ~
% 300.00/67.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2026_0,
% 300.00/67.86 | all_1631_2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.86 | all_2026_0, all_1631_1) |
% 300.00/67.86 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2026_0,
% 300.00/67.86 | all_1631_0))
% 300.00/67.86 |
% 300.00/67.87 | ALPHA: (2201) implies:
% 300.00/67.87 | (2202) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2026_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (1961) with fresh symbol all_2032_0 gives:
% 300.00/67.87 | (2203) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2032_0 &
% 300.00/67.87 | $i(all_2032_0) & ( ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2032_0,
% 300.00/67.87 | all_1631_1) | ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2032_0,
% 300.00/67.87 | all_1631_2) |
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2032_0,
% 300.00/67.87 | all_1631_0))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2203) implies:
% 300.00/67.87 | (2204) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2032_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (2018) with fresh symbol all_2051_0 gives:
% 300.00/67.87 | (2205) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2051_0 &
% 300.00/67.87 | $i(all_2051_0) & ( ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2051_0,
% 300.00/67.87 | all_1505_3) | ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 300.00/67.87 | all_2051_0) |
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1505_1,
% 300.00/67.87 | all_2051_0))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2205) implies:
% 300.00/67.87 | (2206) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2051_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (2017) with fresh symbol all_2053_0 gives:
% 300.00/67.87 | (2207) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2053_0 &
% 300.00/67.87 | $i(all_2053_0) & ( ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2053_0,
% 300.00/67.87 | all_1505_3) | ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2053_0,
% 300.00/67.87 | v_m____) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.87 | all_2053_0, all_1505_1))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2207) implies:
% 300.00/67.87 | (2208) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2053_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (2012) with fresh symbol all_2055_0 gives:
% 300.00/67.87 | (2209) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2055_0 &
% 300.00/67.87 | $i(all_2055_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_2055_0, v_m____) | ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1505_3,
% 300.00/67.87 | all_2055_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_1505_1, all_2055_0))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2209) implies:
% 300.00/67.87 | (2210) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2055_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (2016) with fresh symbol all_2057_0 gives:
% 300.00/67.87 | (2211) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2057_0 &
% 300.00/67.87 | $i(all_2057_0) & ( ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2057_0,
% 300.00/67.87 | v_m____) | ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1505_3,
% 300.00/67.87 | all_2057_0) |
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1505_1,
% 300.00/67.87 | all_2057_0))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2211) implies:
% 300.00/67.87 | (2212) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2057_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (1996) with fresh symbol all_2079_0 gives:
% 300.00/67.87 | (2213) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2079_0 &
% 300.00/67.87 | $i(all_2079_0) & ( ~ (all_2079_0 = all_1626_2) | all_1626_2 =
% 300.00/67.87 | all_1566_1 | all_1626_2 = all_1007_0)
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2213) implies:
% 300.00/67.87 | (2214) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2079_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (1964) with fresh symbol all_2083_0 gives:
% 300.00/67.87 | (2215) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2083_0 &
% 300.00/67.87 | $i(all_2083_0) & ( ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2083_0,
% 300.00/67.87 | all_1631_1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_2083_0, all_1631_2) |
% 300.00/67.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2083_0,
% 300.00/67.87 | all_1631_0))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2215) implies:
% 300.00/67.87 | (2216) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2083_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (2068) with fresh symbol all_2085_0 gives:
% 300.00/67.87 | (2217) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2085_0 &
% 300.00/67.87 | $i(all_2085_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_1132_1, all_2085_0) | ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_735_0,
% 300.00/67.87 | all_2085_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_2085_0, all_1291_0))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2217) implies:
% 300.00/67.87 | (2218) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2085_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (1982) with fresh symbol all_2087_0 gives:
% 300.00/67.87 | (2219) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2087_0 &
% 300.00/67.87 | $i(all_2087_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_2087_0, all_1566_1) | ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1007_0,
% 300.00/67.87 | all_2087_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_1626_2, all_2087_0))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2219) implies:
% 300.00/67.87 | (2220) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2087_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (1984) with fresh symbol all_2089_0 gives:
% 300.00/67.87 | (2221) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2089_0 &
% 300.00/67.87 | $i(all_2089_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_2089_0, all_1566_1) | ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2089_0,
% 300.00/67.87 | all_1007_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_2089_0, all_1626_2))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2221) implies:
% 300.00/67.87 | (2222) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2089_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (1988) with fresh symbol all_2091_0 gives:
% 300.00/67.87 | (2223) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2091_0 &
% 300.00/67.87 | $i(all_2091_0) & ( ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2091_0,
% 300.00/67.87 | all_1007_0) | ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1566_1,
% 300.00/67.87 | all_2091_0) |
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1626_2,
% 300.00/67.87 | all_2091_0))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2223) implies:
% 300.00/67.87 | (2224) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2091_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (1987) with fresh symbol all_2093_0 gives:
% 300.00/67.87 | (2225) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2093_0 &
% 300.00/67.87 | $i(all_2093_0) & ( ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2093_0,
% 300.00/67.87 | all_1566_1) | ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2093_0,
% 300.00/67.87 | all_1007_0) |
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2093_0,
% 300.00/67.87 | all_1626_2))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2225) implies:
% 300.00/67.87 | (2226) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2093_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (1986) with fresh symbol all_2095_0 gives:
% 300.00/67.87 | (2227) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2095_0 &
% 300.00/67.87 | $i(all_2095_0) & ( ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2095_0,
% 300.00/67.87 | all_1566_1) | ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1007_0,
% 300.00/67.87 | all_2095_0) |
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1626_2,
% 300.00/67.87 | all_2095_0))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2227) implies:
% 300.00/67.87 | (2228) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2095_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (1985) with fresh symbol all_2097_0 gives:
% 300.00/67.87 | (2229) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2097_0 &
% 300.00/67.87 | $i(all_2097_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_2097_0, all_1007_0) | ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1566_1,
% 300.00/67.87 | all_2097_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_1626_2, all_2097_0))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2229) implies:
% 300.00/67.87 | (2230) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2097_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (2026) with fresh symbol all_2101_0 gives:
% 300.00/67.87 | (2231) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2101_0 &
% 300.00/67.87 | $i(all_2101_0) & ( ~ (all_2101_0 = all_1505_1) | all_1505_1 =
% 300.00/67.87 | all_1505_3 | all_1505_1 = v_m____)
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2231) implies:
% 300.00/67.87 | (2232) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2101_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (1983) with fresh symbol all_2103_0 gives:
% 300.00/67.87 | (2233) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2103_0 &
% 300.00/67.87 | $i(all_2103_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_2103_0, all_1626_2) | ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2103_0,
% 300.00/67.87 | all_1007_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_2103_0, all_1566_1))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2233) implies:
% 300.00/67.87 | (2234) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2103_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (2079) with fresh symbol all_2105_0 gives:
% 300.00/67.87 | (2235) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2105_0 &
% 300.00/67.87 | $i(all_2105_0) & (all_2105_0 = all_1505_1 | ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1505_0,
% 300.00/67.87 | all_2105_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_1505_1, all_2105_0))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2235) implies:
% 300.00/67.87 | (2236) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2105_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (2015) with fresh symbol all_2107_0 gives:
% 300.00/67.87 | (2237) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2107_0 &
% 300.00/67.87 | $i(all_2107_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_2107_0, all_1505_3) | ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_m____,
% 300.00/67.87 | all_2107_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_1505_1, all_2107_0))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2237) implies:
% 300.00/67.87 | (2238) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2107_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (2003) with fresh symbol all_2109_0 gives:
% 300.00/67.87 | (2239) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2109_0 &
% 300.00/67.87 | $i(all_2109_0) & ( ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2109_0,
% 300.00/67.87 | all_1007_0) | ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_735_0,
% 300.00/67.87 | all_2109_0) |
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1626_0,
% 300.00/67.87 | all_2109_0))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2239) implies:
% 300.00/67.87 | (2240) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2109_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (2002) with fresh symbol all_2111_0 gives:
% 300.00/67.87 | (2241) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2111_0 &
% 300.00/67.87 | $i(all_2111_0) & ( ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2111_0,
% 300.00/67.87 | all_1007_0) | ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2111_0,
% 300.00/67.87 | all_735_0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.87 | all_2111_0, all_1626_0))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2241) implies:
% 300.00/67.87 | (2242) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2111_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (2000) with fresh symbol all_2113_0 gives:
% 300.00/67.87 | (2243) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2113_0 &
% 300.00/67.87 | $i(all_2113_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_2113_0, all_1007_0) | ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_735_0,
% 300.00/67.87 | all_2113_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_1626_0, all_2113_0))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2243) implies:
% 300.00/67.87 | (2244) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2113_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (1998) with fresh symbol all_2115_0 gives:
% 300.00/67.87 | (2245) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2115_0 &
% 300.00/67.87 | $i(all_2115_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_2115_0, all_1626_0) | ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2115_0,
% 300.00/67.87 | all_1007_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_2115_0, all_735_0))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2245) implies:
% 300.00/67.87 | (2246) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2115_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (1997) with fresh symbol all_2117_0 gives:
% 300.00/67.87 | (2247) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2117_0 &
% 300.00/67.87 | $i(all_2117_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_2117_0, all_735_0) | ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1007_0,
% 300.00/67.87 | all_2117_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_1626_0, all_2117_0))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2247) implies:
% 300.00/67.87 | (2248) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2117_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (1999) with fresh symbol all_2122_0 gives:
% 300.00/67.87 | (2249) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2122_0 &
% 300.00/67.87 | $i(all_2122_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_2122_0, all_1007_0) | ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2122_0,
% 300.00/67.87 | all_735_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_2122_0, all_1626_0))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2249) implies:
% 300.00/67.87 | (2250) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2122_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (2078) with fresh symbol all_2124_0 gives:
% 300.00/67.87 | (2251) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2124_0 &
% 300.00/67.87 | $i(all_2124_0) & (all_2124_0 = all_1505_1 | ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2124_0,
% 300.00/67.87 | all_1505_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_2124_0, all_1505_1))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2251) implies:
% 300.00/67.87 | (2252) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2124_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (2014) with fresh symbol all_2126_0 gives:
% 300.00/67.87 | (2253) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2126_0 &
% 300.00/67.87 | $i(all_2126_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_2126_0, all_1505_3) | ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2126_0,
% 300.00/67.87 | v_m____) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_2126_0, all_1505_1))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2253) implies:
% 300.00/67.87 | (2254) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2126_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (2013) with fresh symbol all_2130_0 gives:
% 300.00/67.87 | (2255) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2130_0 &
% 300.00/67.87 | $i(all_2130_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_2130_0, all_1505_1) | ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2130_0,
% 300.00/67.87 | v_m____) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_2130_0, all_1505_3))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2255) implies:
% 300.00/67.87 | (2256) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2130_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (2001) with fresh symbol all_2148_0 gives:
% 300.00/67.87 | (2257) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2148_0 &
% 300.00/67.87 | $i(all_2148_0) & ( ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2148_0,
% 300.00/67.87 | all_735_0) | ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1007_0,
% 300.00/67.87 | all_2148_0) |
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1626_0,
% 300.00/67.87 | all_2148_0))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2257) implies:
% 300.00/67.87 | (2258) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2148_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (2064) with fresh symbol all_2150_0 gives:
% 300.00/67.87 | (2259) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2150_0 &
% 300.00/67.87 | $i(all_2150_0) & ( ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2150_0,
% 300.00/67.87 | all_735_0) | ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1132_1,
% 300.00/67.87 | all_2150_0) |
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1291_0,
% 300.00/67.87 | all_2150_0))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2259) implies:
% 300.00/67.87 | (2260) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2150_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (2063) with fresh symbol all_2152_0 gives:
% 300.00/67.87 | (2261) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2152_0 &
% 300.00/67.87 | $i(all_2152_0) & ( ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2152_0,
% 300.00/67.87 | all_1132_1) | ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2152_0,
% 300.00/67.87 | all_735_0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.87 | all_2152_0, all_1291_0))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2261) implies:
% 300.00/67.87 | (2262) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2152_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (2043) with fresh symbol all_2154_0 gives:
% 300.00/67.87 | (2263) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2154_0 &
% 300.00/67.87 | $i(all_2154_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_2154_0, all_1291_3) | ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2154_0,
% 300.00/67.87 | v_t____) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_2154_0, all_1132_1))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2263) implies:
% 300.00/67.87 | (2264) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2154_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (2042) with fresh symbol all_2156_0 gives:
% 300.00/67.87 | (2265) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2156_0 &
% 300.00/67.87 | $i(all_2156_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_2156_0, all_1132_1) | ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_t____,
% 300.00/67.87 | all_2156_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_1291_3, all_2156_0))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2265) implies:
% 300.00/67.87 | (2266) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2156_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (2062) with fresh symbol all_2160_0 gives:
% 300.00/67.87 | (2267) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2160_0 &
% 300.00/67.87 | $i(all_2160_0) & ( ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2160_0,
% 300.00/67.87 | all_1132_1) | ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_735_0,
% 300.00/67.87 | all_2160_0) |
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1291_0,
% 300.00/67.87 | all_2160_0))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2267) implies:
% 300.00/67.87 | (2268) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2160_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (2060) with fresh symbol all_2162_0 gives:
% 300.00/67.87 | (2269) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2162_0 &
% 300.00/67.87 | $i(all_2162_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_2162_0, all_1132_1) | ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2162_0,
% 300.00/67.87 | all_735_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_2162_0, all_1291_0))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2269) implies:
% 300.00/67.87 | (2270) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2162_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (2058) with fresh symbol all_2164_0 gives:
% 300.00/67.87 | (2271) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2164_0 &
% 300.00/67.87 | $i(all_2164_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_2164_0, all_1291_0) | ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2164_0,
% 300.00/67.87 | all_735_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_2164_0, all_1132_1))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2271) implies:
% 300.00/67.87 | (2272) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2164_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (2057) with fresh symbol all_2173_0 gives:
% 300.00/67.87 | (2273) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2173_0 &
% 300.00/67.87 | $i(all_2173_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_2173_0, all_1132_1) | ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_735_0,
% 300.00/67.87 | all_2173_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_1291_0, all_2173_0))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2273) implies:
% 300.00/67.87 | (2274) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2173_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (2059) with fresh symbol all_2175_0 gives:
% 300.00/67.87 | (2275) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2175_0 &
% 300.00/67.87 | $i(all_2175_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_2175_0, all_1291_0) | ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2175_0,
% 300.00/67.87 | all_1132_1) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_2175_0, all_735_0))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2275) implies:
% 300.00/67.87 | (2276) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2175_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (2061) with fresh symbol all_2177_0 gives:
% 300.00/67.87 | (2277) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2177_0 &
% 300.00/67.87 | $i(all_2177_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_2177_0, all_735_0) | ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1132_1,
% 300.00/67.87 | all_2177_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_1291_0, all_2177_0))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2277) implies:
% 300.00/67.87 | (2278) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2177_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (2041) with fresh symbol all_2179_0 gives:
% 300.00/67.87 | (2279) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2179_0 &
% 300.00/67.87 | $i(all_2179_0) & ( ~ (all_2179_0 = all_1566_1) | all_1566_1 =
% 300.00/67.87 | all_1505_1 | all_1566_1 = v_t____)
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2279) implies:
% 300.00/67.87 | (2280) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2179_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (2077) with fresh symbol all_2185_0 gives:
% 300.00/67.87 | (2281) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2185_0 &
% 300.00/67.87 | $i(all_2185_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_1505_0, all_2185_0) |
% 300.00/67.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1505_1,
% 300.00/67.87 | all_2185_0)) & ( ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1505_1,
% 300.00/67.87 | all_2185_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_1505_0, all_2185_0))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2281) implies:
% 300.00/67.87 | (2282) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2185_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (2074) with fresh symbol all_2191_0 gives:
% 300.00/67.87 | (2283) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2191_0 &
% 300.00/67.87 | $i(all_2191_0) & ( ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2191_0,
% 300.00/67.87 | all_1505_0) |
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2191_0,
% 300.00/67.87 | all_1505_1)) & ( ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2191_0,
% 300.00/67.87 | all_1505_1) |
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2191_0,
% 300.00/67.87 | all_1505_0))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2283) implies:
% 300.00/67.87 | (2284) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2191_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (2076) with fresh symbol all_2195_0 gives:
% 300.00/67.87 | (2285) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2195_0 &
% 300.00/67.87 | $i(all_2195_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_2195_0, all_1505_0) |
% 300.00/67.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2195_0,
% 300.00/67.87 | all_1505_1)) & ( ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2195_0,
% 300.00/67.87 | all_1505_1) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_2195_0, all_1505_0))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2285) implies:
% 300.00/67.87 | (2286) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2195_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (2075) with fresh symbol all_2197_0 gives:
% 300.00/67.87 | (2287) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2197_0 &
% 300.00/67.87 | $i(all_2197_0) & ( ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1505_0,
% 300.00/67.87 | all_2197_0) |
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1505_1,
% 300.00/67.87 | all_2197_0)) & ( ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1505_1,
% 300.00/67.87 | all_2197_0) |
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1505_0,
% 300.00/67.87 | all_2197_0))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2287) implies:
% 300.00/67.87 | (2288) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2197_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (2093) with fresh symbol all_2201_0 gives:
% 300.00/67.87 | (2289) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2201_0 &
% 300.00/67.87 | $i(all_2201_0) & ( ~ (all_2201_0 = all_1631_19) |
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1648_5,
% 300.00/67.87 | all_1631_19)) & (all_2201_0 = all_1631_19 | ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1648_5,
% 300.00/67.87 | all_2201_0))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2289) implies:
% 300.00/67.87 | (2290) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2201_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (2092) with fresh symbol all_2203_0 gives:
% 300.00/67.87 | (2291) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2203_0 &
% 300.00/67.87 | $i(all_2203_0) & ( ~ (all_2203_0 = all_1631_19) | ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1631_19,
% 300.00/67.87 | all_1648_5)) & (all_2203_0 = all_1631_19 |
% 300.00/67.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2203_0,
% 300.00/67.87 | all_1648_5))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2291) implies:
% 300.00/67.87 | (2292) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2203_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (2091) with fresh symbol all_2205_0 gives:
% 300.00/67.87 | (2293) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2205_0 &
% 300.00/67.87 | $i(all_2205_0) & ( ~ (all_2205_0 = all_1648_5) | all_1648_5 =
% 300.00/67.87 | all_1631_19) & ( ~ (all_2205_0 = all_1631_19) | all_1648_5 =
% 300.00/67.87 | all_1631_19)
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2293) implies:
% 300.00/67.87 | (2294) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2205_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (2084) with fresh symbol all_2207_0 gives:
% 300.00/67.87 | (2295) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2207_0 &
% 300.00/67.87 | $i(all_2207_0) & ( ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2207_0,
% 300.00/67.87 | all_735_0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.87 | all_978_2, all_2207_0)) & ( ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_978_2,
% 300.00/67.87 | all_2207_0) |
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2207_0,
% 300.00/67.87 | all_735_0))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2295) implies:
% 300.00/67.87 | (2296) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2207_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (2083) with fresh symbol all_2209_0 gives:
% 300.00/67.87 | (2297) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2209_0 &
% 300.00/67.87 | $i(all_2209_0) & ( ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2209_0,
% 300.00/67.87 | all_978_2) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.87 | all_735_0, all_2209_0)) & ( ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_735_0,
% 300.00/67.87 | all_2209_0) |
% 300.00/67.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2209_0,
% 300.00/67.87 | all_978_2))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2297) implies:
% 300.00/67.87 | (2298) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2209_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (2082) with fresh symbol all_2215_0 gives:
% 300.00/67.87 | (2299) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2215_0 &
% 300.00/67.87 | $i(all_2215_0) & ( ~ (all_2215_0 = all_1505_0) | all_1505_0 =
% 300.00/67.87 | all_1505_1) & ( ~ (all_2215_0 = all_1505_1) | all_1505_0 =
% 300.00/67.87 | all_1505_1)
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2299) implies:
% 300.00/67.87 | (2300) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2215_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (2087) with fresh symbol all_2231_0 gives:
% 300.00/67.87 | (2301) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2231_0 &
% 300.00/67.87 | $i(all_2231_0) & ( ~ (all_2231_0 = all_978_2) | all_978_2 =
% 300.00/67.87 | all_735_0) & ( ~ (all_2231_0 = all_735_0) | all_978_2 = all_735_0)
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2301) implies:
% 300.00/67.87 | (2302) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2231_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (2086) with fresh symbol all_2243_0 gives:
% 300.00/67.87 | (2303) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2243_0 &
% 300.00/67.87 | $i(all_2243_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_2243_0, all_735_0) |
% 300.00/67.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_978_2,
% 300.00/67.87 | all_2243_0)) & ( ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_978_2,
% 300.00/67.87 | all_2243_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_2243_0, all_735_0))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2303) implies:
% 300.00/67.87 | (2304) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2243_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (2085) with fresh symbol all_2245_0 gives:
% 300.00/67.87 | (2305) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2245_0 &
% 300.00/67.87 | $i(all_2245_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_2245_0, all_978_2) |
% 300.00/67.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_735_0,
% 300.00/67.87 | all_2245_0)) & ( ~
% 300.00/67.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_735_0,
% 300.00/67.87 | all_2245_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.87 | all_2245_0, all_978_2))
% 300.00/67.87 |
% 300.00/67.87 | ALPHA: (2305) implies:
% 300.00/67.87 | (2306) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2245_0
% 300.00/67.87 |
% 300.00/67.87 | DELTA: instantiating (2034) with fresh symbol all_2248_0 gives:
% 300.00/67.87 | (2307) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2248_0 &
% 300.00/67.88 | $i(all_2248_0) &
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1566_1,
% 300.00/67.88 | all_2248_0) | (( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2248_0, all_1505_1) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_t____,
% 300.00/67.88 | all_2248_0)) & ( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2248_0, v_t____) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_1505_1, all_2248_0))))
% 300.00/67.88 |
% 300.00/67.88 | ALPHA: (2307) implies:
% 300.00/67.88 | (2308) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2248_0
% 300.00/67.88 |
% 300.00/67.88 | DELTA: instantiating (2070) with fresh symbol all_2252_0 gives:
% 300.00/67.88 | (2309) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2252_0 &
% 300.00/67.88 | $i(all_2252_0) &
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2252_0,
% 300.00/67.88 | all_1291_0) | (( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2252_0, all_1132_1) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2252_0, all_735_0)) & ( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_1132_1, all_2252_0) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_735_0,
% 300.00/67.88 | all_2252_0))))
% 300.00/67.88 |
% 300.00/67.88 | ALPHA: (2309) implies:
% 300.00/67.88 | (2310) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2252_0
% 300.00/67.88 |
% 300.00/67.88 | DELTA: instantiating (1989) with fresh symbol all_2254_0 gives:
% 300.00/67.88 | (2311) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2254_0 &
% 300.00/67.88 | $i(all_2254_0) &
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1626_2,
% 300.00/67.88 | all_2254_0) | (( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2254_0, all_1566_1) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_1007_0, all_2254_0)) & ( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2254_0, all_1007_0) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_1566_1, all_2254_0))))
% 300.00/67.88 |
% 300.00/67.88 | ALPHA: (2311) implies:
% 300.00/67.88 | (2312) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2254_0
% 300.00/67.88 |
% 300.00/67.88 | DELTA: instantiating (1994) with fresh symbol all_2259_0 gives:
% 300.00/67.88 | (2313) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2259_0 &
% 300.00/67.88 | $i(all_2259_0) &
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2259_0,
% 300.00/67.88 | all_1626_2) | (( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2259_0, all_1566_1) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2259_0, all_1007_0)) & ( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_1566_1, all_2259_0) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_1007_0, all_2259_0))))
% 300.00/67.88 |
% 300.00/67.88 | ALPHA: (2313) implies:
% 300.00/67.88 | (2314) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2259_0
% 300.00/67.88 |
% 300.00/67.88 | DELTA: instantiating (2049) with fresh symbol all_2266_0 gives:
% 300.00/67.88 | (2315) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2266_0 &
% 300.00/67.88 | $i(all_2266_0) &
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1291_3,
% 300.00/67.88 | all_2266_0) | (( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2266_0, all_1132_1) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_t____,
% 300.00/67.88 | all_2266_0)) & ( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2266_0, v_t____) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_1132_1, all_2266_0))))
% 300.00/67.88 |
% 300.00/67.88 | ALPHA: (2315) implies:
% 300.00/67.88 | (2316) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2266_0
% 300.00/67.88 |
% 300.00/67.88 | DELTA: instantiating (2088) with fresh symbol all_2269_0 gives:
% 300.00/67.88 | (2317) ( ~ (all_978_2 = all_735_0) | (all_2269_0 = all_735_0 &
% 300.00/67.88 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_735_0)) &
% 300.00/67.88 | (all_978_2 = all_735_0 | ( ~ (all_2269_0 = all_735_0) &
% 300.00/67.88 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2269_0 &
% 300.00/67.88 | $i(all_2269_0)))
% 300.00/67.88 |
% 300.00/67.88 | ALPHA: (2317) implies:
% 300.00/67.88 | (2318) all_978_2 = all_735_0 | ( ~ (all_2269_0 = all_735_0) &
% 300.00/67.88 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2269_0 &
% 300.00/67.88 | $i(all_2269_0))
% 300.00/67.88 | (2319) ~ (all_978_2 = all_735_0) | (all_2269_0 = all_735_0 &
% 300.00/67.88 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_735_0)
% 300.00/67.88 |
% 300.00/67.88 | DELTA: instantiating (2065) with fresh symbol all_2274_0 gives:
% 300.00/67.88 | (2320) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2274_0 &
% 300.00/67.88 | $i(all_2274_0) &
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1291_0,
% 300.00/67.88 | all_2274_0) | (( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2274_0, all_1132_1) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_735_0,
% 300.00/67.88 | all_2274_0)) & ( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2274_0, all_735_0) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_1132_1, all_2274_0))))
% 300.00/67.88 |
% 300.00/67.88 | ALPHA: (2320) implies:
% 300.00/67.88 | (2321) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2274_0
% 300.00/67.88 |
% 300.00/67.88 | DELTA: instantiating (2009) with fresh symbol all_2277_0 gives:
% 300.00/67.88 | (2322) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2277_0 &
% 300.00/67.88 | $i(all_2277_0) &
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2277_0,
% 300.00/67.88 | all_1626_0) | (( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2277_0, all_1007_0) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2277_0, all_735_0)) & ( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_1007_0, all_2277_0) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_735_0,
% 300.00/67.88 | all_2277_0))))
% 300.00/67.88 |
% 300.00/67.88 | ALPHA: (2322) implies:
% 300.00/67.88 | (2323) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2277_0
% 300.00/67.88 |
% 300.00/67.88 | DELTA: instantiating (2019) with fresh symbol all_2282_0 gives:
% 300.00/67.88 | (2324) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2282_0 &
% 300.00/67.88 | $i(all_2282_0) &
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1505_1,
% 300.00/67.88 | all_2282_0) | (( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2282_0, all_1505_3) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 300.00/67.88 | all_2282_0)) & ( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2282_0, v_m____) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_1505_3, all_2282_0))))
% 300.00/67.88 |
% 300.00/67.88 | ALPHA: (2324) implies:
% 300.00/67.88 | (2325) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2282_0
% 300.00/67.88 |
% 300.00/67.88 | DELTA: instantiating (2024) with fresh symbol all_2290_0 gives:
% 300.00/67.88 | (2326) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2290_0 &
% 300.00/67.88 | $i(all_2290_0) &
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2290_0,
% 300.00/67.88 | all_1505_1) | (( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2290_0, all_1505_3) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2290_0, v_m____)) & ( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_1505_3, all_2290_0) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 300.00/67.88 | all_2290_0))))
% 300.00/67.88 |
% 300.00/67.88 | ALPHA: (2326) implies:
% 300.00/67.88 | (2327) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2290_0
% 300.00/67.88 |
% 300.00/67.88 | DELTA: instantiating (2004) with fresh symbol all_2292_0 gives:
% 300.00/67.88 | (2328) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2292_0 &
% 300.00/67.88 | $i(all_2292_0) &
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1626_0,
% 300.00/67.88 | all_2292_0) | (( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2292_0, all_1007_0) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_735_0,
% 300.00/67.88 | all_2292_0)) & ( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2292_0, all_735_0) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_1007_0, all_2292_0))))
% 300.00/67.88 |
% 300.00/67.88 | ALPHA: (2328) implies:
% 300.00/67.88 | (2329) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2292_0
% 300.00/67.88 |
% 300.00/67.88 | DELTA: instantiating (2039) with fresh symbol all_2299_0 gives:
% 300.00/67.88 | (2330) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2299_0 &
% 300.00/67.88 | $i(all_2299_0) &
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2299_0,
% 300.00/67.88 | all_1566_1) | (( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2299_0, all_1505_1) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2299_0, v_t____)) & ( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_1505_1, all_2299_0) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_t____,
% 300.00/67.88 | all_2299_0))))
% 300.00/67.88 |
% 300.00/67.88 | ALPHA: (2330) implies:
% 300.00/67.88 | (2331) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2299_0
% 300.00/67.88 |
% 300.00/67.88 | DELTA: instantiating (2054) with fresh symbol all_2303_0 gives:
% 300.00/67.88 | (2332) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2303_0 &
% 300.00/67.88 | $i(all_2303_0) &
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2303_0,
% 300.00/67.88 | all_1291_3) | (( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2303_0, all_1132_1) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2303_0, v_t____)) & ( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_1132_1, all_2303_0) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_t____,
% 300.00/67.88 | all_2303_0))))
% 300.00/67.88 |
% 300.00/67.88 | ALPHA: (2332) implies:
% 300.00/67.88 | (2333) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2303_0
% 300.00/67.88 |
% 300.00/67.88 | DELTA: instantiating (2071) with fresh symbol all_2312_0 gives:
% 300.00/67.88 | (2334) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2312_0 &
% 300.00/67.88 | $i(all_2312_0) & ( ~ (all_2312_0 = all_1291_0) | all_1291_0 =
% 300.00/67.88 | all_1132_1 | all_1291_0 = all_735_0) & (all_2312_0 = all_1291_0 |
% 300.00/67.88 | ( ~ (all_2312_0 = all_1132_1) & ~ (all_2312_0 = all_735_0)))
% 300.00/67.88 |
% 300.00/67.88 | ALPHA: (2334) implies:
% 300.00/67.88 | (2335) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2312_0
% 300.00/67.88 |
% 300.00/67.88 | DELTA: instantiating (1955) with fresh symbol all_2319_0 gives:
% 300.00/67.88 | (2336) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2319_0 &
% 300.00/67.88 | $i(all_2319_0) & ( ~ (all_2319_0 = all_1505_3) | (all_1505_3 =
% 300.00/67.88 | all_1132_1 & ~ (all_1471_0 = all_891_1))) & ( ~ (all_2319_0 =
% 300.00/67.88 | all_1132_1) | all_1505_3 = all_1132_1 | all_1471_0 = all_891_1)
% 300.00/67.88 |
% 300.00/67.88 | ALPHA: (2336) implies:
% 300.00/67.88 | (2337) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2319_0
% 300.00/67.88 |
% 300.00/67.88 | DELTA: instantiating (2040) with fresh symbol all_2321_0 gives:
% 300.00/67.88 | (2338) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2321_0 &
% 300.00/67.88 | $i(all_2321_0) & ( ~ (all_2321_0 = all_1566_1) | all_1566_1 =
% 300.00/67.88 | all_1505_1 | all_1566_1 = v_t____) & (all_2321_0 = all_1566_1 | (
% 300.00/67.88 | ~ (all_2321_0 = all_1505_1) & ~ (all_2321_0 = v_t____)))
% 300.00/67.88 |
% 300.00/67.88 | ALPHA: (2338) implies:
% 300.00/67.88 | (2339) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2321_0
% 300.00/67.88 |
% 300.00/67.88 | DELTA: instantiating (2010) with fresh symbol all_2328_0 gives:
% 300.00/67.88 | (2340) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2328_0 &
% 300.00/67.88 | $i(all_2328_0) & ( ~ (all_2328_0 = all_1626_0) | all_1626_0 =
% 300.00/67.88 | all_1007_0 | all_1626_0 = all_735_0) & (all_2328_0 = all_1626_0 |
% 300.00/67.88 | ( ~ (all_2328_0 = all_1007_0) & ~ (all_2328_0 = all_735_0)))
% 300.00/67.88 |
% 300.00/67.88 | ALPHA: (2340) implies:
% 300.00/67.88 | (2341) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2328_0
% 300.00/67.88 |
% 300.00/67.88 | DELTA: instantiating (1959) with fresh symbol all_2332_0 gives:
% 300.00/67.88 | (2342) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2332_0 &
% 300.00/67.88 | $i(all_2332_0) & ( ~ (all_2332_0 = all_1007_0) | (all_1007_0 =
% 300.00/67.88 | v_t____ & ~ (all_1471_0 = v_k____))) & ( ~ (all_2332_0 =
% 300.00/67.88 | v_t____) | all_1471_0 = v_k____ | all_1007_0 = v_t____)
% 300.00/67.88 |
% 300.00/67.88 | ALPHA: (2342) implies:
% 300.00/67.88 | (2343) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2332_0
% 300.00/67.88 |
% 300.00/67.88 | DELTA: instantiating (2055) with fresh symbol all_2338_0 gives:
% 300.00/67.88 | (2344) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2338_0 &
% 300.00/67.88 | $i(all_2338_0) & ( ~ (all_2338_0 = all_1291_3) | all_1291_3 =
% 300.00/67.88 | all_1132_1 | all_1291_3 = v_t____) & (all_2338_0 = all_1291_3 | (
% 300.00/67.88 | ~ (all_2338_0 = all_1132_1) & ~ (all_2338_0 = v_t____)))
% 300.00/67.88 |
% 300.00/67.88 | ALPHA: (2344) implies:
% 300.00/67.88 | (2345) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2338_0
% 300.00/67.88 |
% 300.00/67.88 | DELTA: instantiating (1995) with fresh symbol all_2340_0 gives:
% 300.00/67.88 | (2346) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2340_0 &
% 300.00/67.88 | $i(all_2340_0) & ( ~ (all_2340_0 = all_1626_2) | all_1626_2 =
% 300.00/67.88 | all_1566_1 | all_1626_2 = all_1007_0) & (all_2340_0 = all_1626_2 |
% 300.00/67.88 | ( ~ (all_2340_0 = all_1566_1) & ~ (all_2340_0 = all_1007_0)))
% 300.00/67.88 |
% 300.00/67.88 | ALPHA: (2346) implies:
% 300.00/67.88 | (2347) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2340_0
% 300.00/67.88 |
% 300.00/67.88 | DELTA: instantiating (2025) with fresh symbol all_2355_0 gives:
% 300.00/67.88 | (2348) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2355_0 &
% 300.00/67.88 | $i(all_2355_0) & ( ~ (all_2355_0 = all_1505_1) | all_1505_1 =
% 300.00/67.88 | all_1505_3 | all_1505_1 = v_m____) & (all_2355_0 = all_1505_1 | (
% 300.00/67.88 | ~ (all_2355_0 = all_1505_3) & ~ (all_2355_0 = v_m____)))
% 300.00/67.88 |
% 300.00/67.88 | ALPHA: (2348) implies:
% 300.00/67.88 | (2349) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2355_0
% 300.00/67.88 |
% 300.00/67.88 | DELTA: instantiating (1962) with fresh symbol all_2385_0 gives:
% 300.00/67.88 | (2350) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2385_0 &
% 300.00/67.88 | $i(all_2385_0) & ( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2385_0,
% 300.00/67.88 | all_1631_1) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2385_0,
% 300.00/67.88 | all_1631_2) | (( ~ (all_2385_0 = all_1631_0) | (all_1631_0 =
% 300.00/67.88 | all_1631_2 & all_1631_1 = all_1631_2)) & ( ~ (all_2385_0 =
% 300.00/67.88 | all_1631_2) | ~ (all_1631_1 = all_1631_2) | all_1631_0 =
% 300.00/67.88 | all_1631_2)))
% 300.00/67.88 |
% 300.00/67.88 | ALPHA: (2350) implies:
% 300.00/67.88 | (2351) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2385_0
% 300.00/67.88 |
% 300.00/67.88 | DELTA: instantiating (1971) with fresh symbol all_2396_0 gives:
% 300.00/67.88 | (2352) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2396_0 &
% 300.00/67.88 | $i(all_2396_0) & ( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2396_0,
% 300.00/67.88 | all_1648_5) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2396_0,
% 300.00/67.88 | all_1631_1) | (( ~ (all_2396_0 = all_1648_0) | (all_1648_0 =
% 300.00/67.88 | all_1631_1 & all_1648_5 = all_1631_1)) & ( ~ (all_2396_0 =
% 300.00/67.88 | all_1631_1) | ~ (all_1648_5 = all_1631_1) | all_1648_0 =
% 300.00/67.88 | all_1631_1)))
% 300.00/67.88 |
% 300.00/67.88 | ALPHA: (2352) implies:
% 300.00/67.88 | (2353) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2396_0
% 300.00/67.88 |
% 300.00/67.88 | DELTA: instantiating (1991) with fresh symbol all_2502_0 gives:
% 300.00/67.88 | (2354) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2502_0 &
% 300.00/67.88 | $i(all_2502_0) & ( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1626_2,
% 300.00/67.88 | all_2502_0) |
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2502_0,
% 300.00/67.88 | all_1566_1) &
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1007_0,
% 300.00/67.88 | all_2502_0)) |
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2502_0,
% 300.00/67.88 | all_1007_0) &
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1566_1,
% 300.00/67.88 | all_2502_0))) &
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1626_2,
% 300.00/67.88 | all_2502_0) | (( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2502_0, all_1566_1) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_1007_0, all_2502_0)) & ( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2502_0, all_1007_0) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_1566_1, all_2502_0))))
% 300.00/67.88 |
% 300.00/67.88 | ALPHA: (2354) implies:
% 300.00/67.88 | (2355) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2502_0
% 300.00/67.88 |
% 300.00/67.88 | DELTA: instantiating (2006) with fresh symbol all_2506_0 gives:
% 300.00/67.88 | (2356) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2506_0 &
% 300.00/67.88 | $i(all_2506_0) & ( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1626_0,
% 300.00/67.88 | all_2506_0) |
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2506_0,
% 300.00/67.88 | all_1007_0) &
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_735_0,
% 300.00/67.88 | all_2506_0)) |
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2506_0,
% 300.00/67.88 | all_735_0) &
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1007_0,
% 300.00/67.88 | all_2506_0))) &
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1626_0,
% 300.00/67.88 | all_2506_0) | (( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2506_0, all_1007_0) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_735_0,
% 300.00/67.88 | all_2506_0)) & ( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2506_0, all_735_0) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_1007_0, all_2506_0))))
% 300.00/67.88 |
% 300.00/67.88 | ALPHA: (2356) implies:
% 300.00/67.88 | (2357) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2506_0
% 300.00/67.88 |
% 300.00/67.88 | DELTA: instantiating (2036) with fresh symbol all_2508_0 gives:
% 300.00/67.88 | (2358) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2508_0 &
% 300.00/67.88 | $i(all_2508_0) & ( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1566_1,
% 300.00/67.88 | all_2508_0) |
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2508_0,
% 300.00/67.88 | all_1505_1) &
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_t____,
% 300.00/67.88 | all_2508_0)) |
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2508_0,
% 300.00/67.88 | v_t____) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_1505_1, all_2508_0))) &
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1566_1,
% 300.00/67.88 | all_2508_0) | (( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2508_0, all_1505_1) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_t____,
% 300.00/67.88 | all_2508_0)) & ( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2508_0, v_t____) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_1505_1, all_2508_0))))
% 300.00/67.88 |
% 300.00/67.88 | ALPHA: (2358) implies:
% 300.00/67.88 | (2359) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2508_0
% 300.00/67.88 |
% 300.00/67.88 | DELTA: instantiating (2051) with fresh symbol all_2510_0 gives:
% 300.00/67.88 | (2360) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2510_0 &
% 300.00/67.88 | $i(all_2510_0) & ( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1291_3,
% 300.00/67.88 | all_2510_0) |
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2510_0,
% 300.00/67.88 | all_1132_1) &
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_t____,
% 300.00/67.88 | all_2510_0)) |
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2510_0,
% 300.00/67.88 | v_t____) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_1132_1, all_2510_0))) &
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1291_3,
% 300.00/67.88 | all_2510_0) | (( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2510_0, all_1132_1) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_t____,
% 300.00/67.88 | all_2510_0)) & ( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2510_0, v_t____) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_1132_1, all_2510_0))))
% 300.00/67.88 |
% 300.00/67.88 | ALPHA: (2360) implies:
% 300.00/67.88 | (2361) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2510_0
% 300.00/67.88 |
% 300.00/67.88 | DELTA: instantiating (2050) with fresh symbol all_2512_0 gives:
% 300.00/67.88 | (2362) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2512_0 &
% 300.00/67.88 | $i(all_2512_0) & ( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2512_0,
% 300.00/67.88 | all_1291_3) |
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2512_0,
% 300.00/67.88 | all_1132_1) &
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2512_0,
% 300.00/67.88 | v_t____)) |
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1132_1,
% 300.00/67.88 | all_2512_0) &
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_t____,
% 300.00/67.88 | all_2512_0))) &
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2512_0,
% 300.00/67.88 | all_1291_3) | (( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2512_0, all_1132_1) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2512_0, v_t____)) & ( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_1132_1, all_2512_0) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_t____,
% 300.00/67.88 | all_2512_0))))
% 300.00/67.88 |
% 300.00/67.88 | ALPHA: (2362) implies:
% 300.00/67.88 | (2363) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2512_0
% 300.00/67.88 |
% 300.00/67.88 | DELTA: instantiating (2035) with fresh symbol all_2514_0 gives:
% 300.00/67.88 | (2364) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2514_0 &
% 300.00/67.88 | $i(all_2514_0) & ( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2514_0,
% 300.00/67.88 | all_1566_1) |
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2514_0,
% 300.00/67.88 | all_1505_1) &
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2514_0,
% 300.00/67.88 | v_t____)) |
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1505_1,
% 300.00/67.88 | all_2514_0) &
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_t____,
% 300.00/67.88 | all_2514_0))) &
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2514_0,
% 300.00/67.88 | all_1566_1) | (( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2514_0, all_1505_1) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2514_0, v_t____)) & ( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_1505_1, all_2514_0) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_t____,
% 300.00/67.88 | all_2514_0))))
% 300.00/67.88 |
% 300.00/67.88 | ALPHA: (2364) implies:
% 300.00/67.88 | (2365) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2514_0
% 300.00/67.88 |
% 300.00/67.88 | DELTA: instantiating (2067) with fresh symbol all_2516_0 gives:
% 300.00/67.88 | (2366) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2516_0 &
% 300.00/67.88 | $i(all_2516_0) & ( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1291_0,
% 300.00/67.88 | all_2516_0) |
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2516_0,
% 300.00/67.88 | all_1132_1) &
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_735_0,
% 300.00/67.88 | all_2516_0)) |
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2516_0,
% 300.00/67.88 | all_735_0) &
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1132_1,
% 300.00/67.88 | all_2516_0))) &
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1291_0,
% 300.00/67.88 | all_2516_0) | (( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2516_0, all_1132_1) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_735_0,
% 300.00/67.88 | all_2516_0)) & ( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2516_0, all_735_0) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_1132_1, all_2516_0))))
% 300.00/67.88 |
% 300.00/67.88 | ALPHA: (2366) implies:
% 300.00/67.88 | (2367) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2516_0
% 300.00/67.88 |
% 300.00/67.88 | DELTA: instantiating (2005) with fresh symbol all_2520_0 gives:
% 300.00/67.88 | (2368) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2520_0 &
% 300.00/67.88 | $i(all_2520_0) & ( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2520_0,
% 300.00/67.88 | all_1626_0) |
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2520_0,
% 300.00/67.88 | all_1007_0) &
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2520_0,
% 300.00/67.88 | all_735_0)) |
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1007_0,
% 300.00/67.88 | all_2520_0) &
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_735_0,
% 300.00/67.88 | all_2520_0))) &
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2520_0,
% 300.00/67.88 | all_1626_0) | (( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2520_0, all_1007_0) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2520_0, all_735_0)) & ( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_1007_0, all_2520_0) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_735_0,
% 300.00/67.88 | all_2520_0))))
% 300.00/67.88 |
% 300.00/67.88 | ALPHA: (2368) implies:
% 300.00/67.88 | (2369) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2520_0
% 300.00/67.88 |
% 300.00/67.88 | DELTA: instantiating (2066) with fresh symbol all_2522_0 gives:
% 300.00/67.88 | (2370) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2522_0 &
% 300.00/67.88 | $i(all_2522_0) & ( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2522_0,
% 300.00/67.88 | all_1291_0) |
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2522_0,
% 300.00/67.88 | all_1132_1) &
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2522_0,
% 300.00/67.88 | all_735_0)) |
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1132_1,
% 300.00/67.88 | all_2522_0) &
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_735_0,
% 300.00/67.88 | all_2522_0))) &
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2522_0,
% 300.00/67.88 | all_1291_0) | (( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2522_0, all_1132_1) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2522_0, all_735_0)) & ( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_1132_1, all_2522_0) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_735_0,
% 300.00/67.88 | all_2522_0))))
% 300.00/67.88 |
% 300.00/67.88 | ALPHA: (2370) implies:
% 300.00/67.88 | (2371) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2522_0
% 300.00/67.88 |
% 300.00/67.88 | DELTA: instantiating (1990) with fresh symbol all_2528_0 gives:
% 300.00/67.88 | (2372) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2528_0 &
% 300.00/67.88 | $i(all_2528_0) & ( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2528_0,
% 300.00/67.88 | all_1626_2) |
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2528_0,
% 300.00/67.88 | all_1566_1) &
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2528_0,
% 300.00/67.88 | all_1007_0)) |
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1566_1,
% 300.00/67.88 | all_2528_0) &
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1007_0,
% 300.00/67.88 | all_2528_0))) &
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2528_0,
% 300.00/67.88 | all_1626_2) | (( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2528_0, all_1566_1) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2528_0, all_1007_0)) & ( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_1566_1, all_2528_0) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_1007_0, all_2528_0))))
% 300.00/67.88 |
% 300.00/67.88 | ALPHA: (2372) implies:
% 300.00/67.88 | (2373) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2528_0
% 300.00/67.88 |
% 300.00/67.88 | DELTA: instantiating (2021) with fresh symbol all_2530_0 gives:
% 300.00/67.88 | (2374) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2530_0 &
% 300.00/67.88 | $i(all_2530_0) & ( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1505_1,
% 300.00/67.88 | all_2530_0) |
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2530_0,
% 300.00/67.88 | all_1505_3) &
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 300.00/67.88 | all_2530_0)) |
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2530_0,
% 300.00/67.88 | v_m____) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_1505_3, all_2530_0))) &
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1505_1,
% 300.00/67.88 | all_2530_0) | (( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2530_0, all_1505_3) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 300.00/67.88 | all_2530_0)) & ( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2530_0, v_m____) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_1505_3, all_2530_0))))
% 300.00/67.88 |
% 300.00/67.88 | ALPHA: (2374) implies:
% 300.00/67.88 | (2375) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2530_0
% 300.00/67.88 |
% 300.00/67.88 | DELTA: instantiating (2020) with fresh symbol all_2532_0 gives:
% 300.00/67.88 | (2376) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2532_0 &
% 300.00/67.88 | $i(all_2532_0) & ( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2532_0,
% 300.00/67.88 | all_1505_1) |
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2532_0,
% 300.00/67.88 | all_1505_3) &
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2532_0,
% 300.00/67.88 | v_m____)) |
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1505_3,
% 300.00/67.88 | all_2532_0) &
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 300.00/67.88 | all_2532_0))) &
% 300.00/67.88 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2532_0,
% 300.00/67.88 | all_1505_1) | (( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2532_0, all_1505_3) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_2532_0, v_m____)) & ( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 300.00/67.88 | all_1505_3, all_2532_0) | ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 300.00/67.88 | all_2532_0))))
% 300.00/67.88 |
% 300.00/67.88 | ALPHA: (2376) implies:
% 300.00/67.88 | (2377) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2532_0
% 300.00/67.88 |
% 300.00/67.88 | DELTA: instantiating (1980) with fresh symbol all_2600_0 gives:
% 300.00/67.88 | (2378) ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1626_2,
% 300.00/67.88 | all_1626_0) | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 300.00/67.88 | all_2600_0 & $i(all_2600_0) &
% 300.00/67.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2600_0,
% 300.00/67.88 | all_1007_0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.88 | all_1566_1, all_735_0)) |
% 300.00/67.88 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2600_0 &
% 300.00/67.88 | $i(all_2600_0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.88 | all_1007_0, all_2600_0) &
% 300.00/67.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_735_0,
% 300.00/67.88 | all_1566_1))) &
% 300.00/67.88 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1626_2,
% 300.00/67.88 | all_1626_0) | (( ~
% 300.00/67.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1566_1,
% 300.00/67.88 | all_735_0) | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 300.00/67.88 | = all_2600_0 & $i(all_2600_0) & ~
% 300.00/67.89 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2600_0,
% 300.00/67.89 | all_1007_0))) & ( ~
% 300.00/67.89 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_735_0,
% 300.00/67.89 | all_1566_1) | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 300.00/67.89 | = all_2600_0 & $i(all_2600_0) & ~
% 300.00/67.89 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1007_0,
% 300.00/67.89 | all_2600_0)))))
% 300.00/67.89 |
% 300.00/67.89 | ALPHA: (2378) implies:
% 300.00/67.89 | (2379) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1626_2,
% 300.00/67.89 | all_1626_0) | (( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.89 | all_1566_1, all_735_0) |
% 300.00/67.89 | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2600_0 &
% 300.00/67.89 | $i(all_2600_0) & ~
% 300.00/67.89 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2600_0,
% 300.00/67.89 | all_1007_0))) & ( ~
% 300.00/67.89 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_735_0,
% 300.00/67.89 | all_1566_1) | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 300.00/67.89 | all_2600_0 & $i(all_2600_0) & ~
% 300.00/67.89 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1007_0,
% 300.00/67.89 | all_2600_0))))
% 300.00/67.89 |
% 300.00/67.89 | REDUCE: (601), (2073) imply:
% 300.00/67.89 | (2380) ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1626_2,
% 300.00/67.89 | all_1007_0)
% 300.00/67.89 |
% 300.00/67.89 | BETA: splitting (2319) gives:
% 300.00/67.89 |
% 300.00/67.89 | Case 1:
% 300.00/67.89 | |
% 300.00/67.89 | | (2381) ~ (all_978_2 = all_735_0)
% 300.00/67.89 | |
% 300.00/67.89 | | BETA: splitting (2379) gives:
% 300.00/67.89 | |
% 300.00/67.89 | | Case 1:
% 300.00/67.89 | | |
% 300.00/67.89 | | | (2382) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1626_2,
% 300.00/67.89 | | | all_1626_0)
% 300.00/67.89 | | |
% 300.00/67.89 | | | REDUCE: (2073), (2382) imply:
% 300.00/67.89 | | | (2383) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1626_2,
% 300.00/67.89 | | | all_1007_0)
% 300.00/67.89 | | |
% 300.00/67.89 | | | PRED_UNIFY: (2380), (2383) imply:
% 300.00/67.89 | | | (2384) $false
% 300.00/67.89 | | |
% 300.00/67.89 | | | CLOSE: (2384) is inconsistent.
% 300.00/67.89 | | |
% 300.00/67.89 | | Case 2:
% 300.00/67.89 | | |
% 300.00/67.89 | | | (2385) ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1566_1,
% 300.00/67.89 | | | all_735_0) | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 300.00/67.89 | | | = all_2600_0 & $i(all_2600_0) & ~
% 300.00/67.89 | | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2600_0,
% 300.00/67.89 | | | all_1007_0))) & ( ~
% 300.00/67.89 | | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_735_0,
% 300.00/67.89 | | | all_1566_1) | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal)
% 300.00/67.89 | | | = all_2600_0 & $i(all_2600_0) & ~
% 300.00/67.89 | | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1007_0,
% 300.00/67.89 | | | all_2600_0)))
% 300.00/67.89 | | |
% 300.00/67.89 | | | ALPHA: (2385) implies:
% 300.00/67.89 | | | (2386) ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1566_1,
% 300.00/67.89 | | | all_735_0) | (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 300.00/67.89 | | | all_2600_0 & $i(all_2600_0) & ~
% 300.00/67.89 | | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2600_0,
% 300.00/67.89 | | | all_1007_0))
% 300.00/67.89 | | |
% 300.00/67.89 | | | BETA: splitting (2318) gives:
% 300.00/67.89 | | |
% 300.00/67.89 | | | Case 1:
% 300.00/67.89 | | | |
% 300.00/67.89 | | | | (2387) all_978_2 = all_735_0
% 300.00/67.89 | | | |
% 300.00/67.89 | | | | REDUCE: (2381), (2387) imply:
% 300.00/67.89 | | | | (2388) $false
% 300.00/67.89 | | | |
% 300.00/67.89 | | | | CLOSE: (2388) is inconsistent.
% 300.00/67.89 | | | |
% 300.00/67.89 | | | Case 2:
% 300.00/67.89 | | | |
% 300.00/67.89 | | | | (2389) ~ (all_2269_0 = all_735_0) &
% 300.00/67.89 | | | | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2269_0 &
% 300.00/67.89 | | | | $i(all_2269_0)
% 300.00/67.89 | | | |
% 300.00/67.89 | | | | ALPHA: (2389) implies:
% 300.00/67.89 | | | | (2390) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2269_0
% 300.00/67.89 | | | |
% 300.00/67.89 | | | | BETA: splitting (2386) gives:
% 300.00/67.89 | | | |
% 300.00/67.89 | | | | Case 1:
% 300.00/67.89 | | | | |
% 300.00/67.89 | | | | | (2391) ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.89 | | | | | all_1566_1, all_735_0)
% 300.00/67.89 | | | | |
% 300.00/67.89 | | | | | PRED_UNIFY: (1645), (2391) imply:
% 300.00/67.89 | | | | | (2392) $false
% 300.00/67.89 | | | | |
% 300.00/67.89 | | | | | CLOSE: (2392) is inconsistent.
% 300.00/67.89 | | | | |
% 300.00/67.89 | | | | Case 2:
% 300.00/67.89 | | | | |
% 300.00/67.89 | | | | | (2393) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2600_0 &
% 300.00/67.89 | | | | | $i(all_2600_0) & ~
% 300.00/67.89 | | | | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_2600_0,
% 300.00/67.89 | | | | | all_1007_0)
% 300.00/67.89 | | | | |
% 300.00/67.89 | | | | | ALPHA: (2393) implies:
% 300.00/67.89 | | | | | (2394) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2600_0
% 300.00/67.89 | | | | |
% 300.00/67.89 | | | | | GROUND_INST: instantiating (183) with all_1778_0, all_1780_0,
% 300.00/67.89 | | | | | tc_RealDef_Oreal, simplifying with (2102), (2104) gives:
% 300.00/67.89 | | | | | (2395) all_1780_0 = all_1778_0
% 300.00/67.89 | | | | |
% 300.00/67.89 | | | | | GROUND_INST: instantiating (183) with all_1778_0, all_1788_0,
% 300.00/67.89 | | | | | tc_RealDef_Oreal, simplifying with (2102), (2106) gives:
% 300.00/67.89 | | | | | (2396) all_1788_0 = all_1778_0
% 300.00/67.89 | | | | |
% 300.00/67.89 | | | | | GROUND_INST: instantiating (183) with all_1838_0, all_1857_0,
% 300.00/67.89 | | | | | tc_RealDef_Oreal, simplifying with (2116), (2118) gives:
% 300.00/67.89 | | | | | (2397) all_1857_0 = all_1838_0
% 300.00/67.89 | | | | |
% 300.00/67.89 | | | | | GROUND_INST: instantiating (183) with all_1838_0, all_1886_0,
% 300.00/67.89 | | | | | tc_RealDef_Oreal, simplifying with (2116), (2124) gives:
% 300.00/67.89 | | | | | (2398) all_1886_0 = all_1838_0
% 300.00/67.89 | | | | |
% 300.00/67.89 | | | | | GROUND_INST: instantiating (183) with all_1796_0, all_1886_0,
% 300.00/67.89 | | | | | tc_RealDef_Oreal, simplifying with (2110), (2124) gives:
% 300.00/67.89 | | | | | (2399) all_1886_0 = all_1796_0
% 300.00/67.89 | | | | |
% 300.00/67.89 | | | | | GROUND_INST: instantiating (183) with all_1888_0, all_1890_0,
% 300.00/67.89 | | | | | tc_RealDef_Oreal, simplifying with (2126), (2128) gives:
% 300.00/67.89 | | | | | (2400) all_1890_0 = all_1888_0
% 300.00/67.89 | | | | |
% 300.00/67.89 | | | | | GROUND_INST: instantiating (183) with all_1886_0, all_1903_0,
% 300.00/67.89 | | | | | tc_RealDef_Oreal, simplifying with (2124), (2132) gives:
% 300.00/67.89 | | | | | (2401) all_1903_0 = all_1886_0
% 300.00/67.89 | | | | |
% 300.00/67.89 | | | | | GROUND_INST: instantiating (183) with all_1886_0, all_1948_0,
% 300.00/67.89 | | | | | tc_RealDef_Oreal, simplifying with (2124), (2142) gives:
% 300.00/67.89 | | | | | (2402) all_1948_0 = all_1886_0
% 300.00/67.89 | | | | |
% 300.00/67.89 | | | | | GROUND_INST: instantiating (183) with all_1812_0, all_1948_0,
% 300.00/67.89 | | | | | tc_RealDef_Oreal, simplifying with (2112), (2142) gives:
% 300.00/67.89 | | | | | (2403) all_1948_0 = all_1812_0
% 300.00/67.89 | | | | |
% 300.00/67.89 | | | | | GROUND_INST: instantiating (183) with all_1890_0, all_1961_0,
% 300.00/67.89 | | | | | tc_RealDef_Oreal, simplifying with (2128), (2150) gives:
% 300.00/67.89 | | | | | (2404) all_1961_0 = all_1890_0
% 300.00/67.89 | | | | |
% 300.00/67.89 | | | | | GROUND_INST: instantiating (183) with all_1796_0, all_1967_0,
% 300.00/67.89 | | | | | tc_RealDef_Oreal, simplifying with (2110), (2156) gives:
% 300.00/67.89 | | | | | (2405) all_1967_0 = all_1796_0
% 300.00/67.89 | | | | |
% 300.00/67.89 | | | | | GROUND_INST: instantiating (183) with all_1780_0, all_1967_0,
% 300.00/67.89 | | | | | tc_RealDef_Oreal, simplifying with (2104), (2156) gives:
% 300.00/67.89 | | | | | (2406) all_1967_0 = all_1780_0
% 300.00/67.89 | | | | |
% 300.00/67.89 | | | | | GROUND_INST: instantiating (183) with all_1979_0, all_1984_0,
% 300.00/67.89 | | | | | tc_RealDef_Oreal, simplifying with (2166), (2168) gives:
% 300.00/67.89 | | | | | (2407) all_1984_0 = all_1979_0
% 300.00/67.89 | | | | |
% 300.00/67.89 | | | | | GROUND_INST: instantiating (183) with all_1984_0, all_1987_0,
% 300.00/67.89 | | | | | tc_RealDef_Oreal, simplifying with (2168), (2170) gives:
% 300.00/67.89 | | | | | (2408) all_1987_0 = all_1984_0
% 300.00/67.89 | | | | |
% 300.00/67.89 | | | | | GROUND_INST: instantiating (183) with all_1969_0, all_1990_0,
% 300.00/67.89 | | | | | tc_RealDef_Oreal, simplifying with (2158), (2172) gives:
% 300.00/67.89 | | | | | (2409) all_1990_0 = all_1969_0
% 300.00/67.89 | | | | |
% 300.00/67.89 | | | | | GROUND_INST: instantiating (183) with all_1987_0, all_1992_0,
% 300.00/67.89 | | | | | tc_RealDef_Oreal, simplifying with (2170), (2174) gives:
% 300.00/67.89 | | | | | (2410) all_1992_0 = all_1987_0
% 300.00/67.89 | | | | |
% 300.00/67.89 | | | | | GROUND_INST: instantiating (183) with all_1990_0, all_1996_0,
% 300.00/67.89 | | | | | tc_RealDef_Oreal, simplifying with (2172), (2176) gives:
% 300.00/67.89 | | | | | (2411) all_1996_0 = all_1990_0
% 300.00/67.89 | | | | |
% 300.00/67.89 | | | | | GROUND_INST: instantiating (183) with all_1979_0, all_2006_0,
% 300.00/67.89 | | | | | tc_RealDef_Oreal, simplifying with (2166), (2186) gives:
% 300.00/67.89 | | | | | (2412) all_2006_0 = all_1979_0
% 300.00/67.89 | | | | |
% 300.00/67.89 | | | | | GROUND_INST: instantiating (183) with all_1973_0, all_2006_0,
% 300.00/67.89 | | | | | tc_RealDef_Oreal, simplifying with (2160), (2186) gives:
% 300.00/67.89 | | | | | (2413) all_2006_0 = all_1973_0
% 300.00/67.89 | | | | |
% 300.00/67.89 | | | | | GROUND_INST: instantiating (183) with all_1967_0, all_2009_0,
% 300.00/67.89 | | | | | tc_RealDef_Oreal, simplifying with (2156), (2188) gives:
% 300.00/67.89 | | | | | (2414) all_2009_0 = all_1967_0
% 300.00/67.89 | | | | |
% 300.00/67.89 | | | | | GROUND_INST: instantiating (183) with all_1996_0, all_2019_0,
% 300.00/67.89 | | | | | tc_RealDef_Oreal, simplifying with (2176), (2198) gives:
% 300.00/67.89 | | | | | (2415) all_2019_0 = all_1996_0
% 300.00/67.89 | | | | |
% 300.00/67.89 | | | | | GROUND_INST: instantiating (183) with all_2017_0, all_2026_0,
% 300.00/67.89 | | | | | tc_RealDef_Oreal, simplifying with (2196), (2202) gives:
% 300.00/67.89 | | | | | (2416) all_2026_0 = all_2017_0
% 300.00/67.89 | | | | |
% 300.00/67.89 | | | | | GROUND_INST: instantiating (183) with all_2032_0, all_2053_0,
% 300.00/67.89 | | | | | tc_RealDef_Oreal, simplifying with (2204), (2208) gives:
% 300.00/67.89 | | | | | (2417) all_2053_0 = all_2032_0
% 300.00/67.89 | | | | |
% 300.00/67.89 | | | | | GROUND_INST: instantiating (183) with all_2006_0, all_2057_0,
% 300.00/67.89 | | | | | tc_RealDef_Oreal, simplifying with (2186), (2212) gives:
% 300.00/67.89 | | | | | (2418) all_2057_0 = all_2006_0
% 300.00/67.89 | | | | |
% 300.00/67.89 | | | | | GROUND_INST: instantiating (183) with all_2032_0, all_2083_0,
% 300.00/67.89 | | | | | tc_RealDef_Oreal, simplifying with (2204), (2216) gives:
% 300.00/67.89 | | | | | (2419) all_2083_0 = all_2032_0
% 300.00/67.89 | | | | |
% 300.00/67.89 | | | | | GROUND_INST: instantiating (183) with all_1961_0, all_2083_0,
% 300.00/67.89 | | | | | tc_RealDef_Oreal, simplifying with (2150), (2216) gives:
% 300.00/67.89 | | | | | (2420) all_2083_0 = all_1961_0
% 300.00/67.89 | | | | |
% 300.00/67.89 | | | | | GROUND_INST: instantiating (183) with all_2051_0, all_2085_0,
% 300.00/67.89 | | | | | tc_RealDef_Oreal, simplifying with (2206), (2218) gives:
% 300.00/67.89 | | | | | (2421) all_2085_0 = all_2051_0
% 300.00/67.89 | | | | |
% 300.00/67.89 | | | | | GROUND_INST: instantiating (183) with all_2083_0, all_2091_0,
% 300.00/67.89 | | | | | tc_RealDef_Oreal, simplifying with (2216), (2224) gives:
% 300.00/67.89 | | | | | (2422) all_2091_0 = all_2083_0
% 300.00/67.89 | | | | |
% 300.00/67.89 | | | | | GROUND_INST: instantiating (183) with all_2089_0, all_2093_0,
% 300.00/67.89 | | | | | tc_RealDef_Oreal, simplifying with (2222), (2226) gives:
% 300.00/67.89 | | | | | (2423) all_2093_0 = all_2089_0
% 300.00/67.89 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2093_0, all_2095_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2226), (2228) gives:
% 300.00/67.90 | | | | | (2424) all_2095_0 = all_2093_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_1952_0, all_2103_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2146), (2234) gives:
% 300.00/67.90 | | | | | (2425) all_2103_0 = all_1952_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2095_0, all_2107_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2228), (2238) gives:
% 300.00/67.90 | | | | | (2426) all_2107_0 = all_2095_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2107_0, all_2111_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2238), (2242) gives:
% 300.00/67.90 | | | | | (2427) all_2111_0 = all_2107_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2105_0, all_2111_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2236), (2242) gives:
% 300.00/67.90 | | | | | (2428) all_2111_0 = all_2105_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2103_0, all_2113_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2234), (2244) gives:
% 300.00/67.90 | | | | | (2429) all_2113_0 = all_2103_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_1911_0, all_2113_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2136), (2244) gives:
% 300.00/67.90 | | | | | (2430) all_2113_0 = all_1911_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2101_0, all_2117_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2232), (2248) gives:
% 300.00/67.90 | | | | | (2431) all_2117_0 = all_2101_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_1879_0, all_2117_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2122), (2248) gives:
% 300.00/67.90 | | | | | (2432) all_2117_0 = all_1879_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2057_0, all_2124_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2212), (2252) gives:
% 300.00/67.90 | | | | | (2433) all_2124_0 = all_2057_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_1977_0, all_2124_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2164), (2252) gives:
% 300.00/67.90 | | | | | (2434) all_2124_0 = all_1977_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2091_0, all_2130_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2224), (2256) gives:
% 300.00/67.90 | | | | | (2435) all_2130_0 = all_2091_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2107_0, all_2148_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2238), (2258) gives:
% 300.00/67.90 | | | | | (2436) all_2148_0 = all_2107_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2148_0, all_2150_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2258), (2260) gives:
% 300.00/67.90 | | | | | (2437) all_2150_0 = all_2148_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2009_0, all_2152_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2188), (2262) gives:
% 300.00/67.90 | | | | | (2438) all_2152_0 = all_2009_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2130_0, all_2154_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2256), (2264) gives:
% 300.00/67.90 | | | | | (2439) all_2154_0 = all_2130_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2015_0, all_2154_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2194), (2264) gives:
% 300.00/67.90 | | | | | (2440) all_2154_0 = all_2015_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2150_0, all_2156_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2260), (2266) gives:
% 300.00/67.90 | | | | | (2441) all_2156_0 = all_2150_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2126_0, all_2160_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2254), (2268) gives:
% 300.00/67.90 | | | | | (2442) all_2160_0 = all_2126_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2026_0, all_2160_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2202), (2268) gives:
% 300.00/67.90 | | | | | (2443) all_2160_0 = all_2026_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2002_0, all_2160_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2182), (2268) gives:
% 300.00/67.90 | | | | | (2444) all_2160_0 = all_2002_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2156_0, all_2162_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2266), (2270) gives:
% 300.00/67.90 | | | | | (2445) all_2162_0 = all_2156_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2164_0, all_2173_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2272), (2274) gives:
% 300.00/67.90 | | | | | (2446) all_2173_0 = all_2164_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2164_0, all_2175_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2272), (2276) gives:
% 300.00/67.90 | | | | | (2447) all_2175_0 = all_2164_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2085_0, all_2175_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2218), (2276) gives:
% 300.00/67.90 | | | | | (2448) all_2175_0 = all_2085_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2024_0, all_2175_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2200), (2276) gives:
% 300.00/67.90 | | | | | (2449) all_2175_0 = all_2024_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2173_0, all_2185_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2274), (2282) gives:
% 300.00/67.90 | | | | | (2450) all_2185_0 = all_2173_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2051_0, all_2191_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2206), (2284) gives:
% 300.00/67.90 | | | | | (2451) all_2191_0 = all_2051_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2191_0, all_2195_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2284), (2286) gives:
% 300.00/67.90 | | | | | (2452) all_2195_0 = all_2191_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2097_0, all_2197_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2230), (2288) gives:
% 300.00/67.90 | | | | | (2453) all_2197_0 = all_2097_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2085_0, all_2197_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2218), (2288) gives:
% 300.00/67.90 | | | | | (2454) all_2197_0 = all_2085_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_1950_0, all_2197_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2144), (2288) gives:
% 300.00/67.90 | | | | | (2455) all_2197_0 = all_1950_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_1788_0, all_2197_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2106), (2288) gives:
% 300.00/67.90 | | | | | (2456) all_2197_0 = all_1788_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2089_0, all_2201_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2222), (2290) gives:
% 300.00/67.90 | | | | | (2457) all_2201_0 = all_2089_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2004_0, all_2201_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2184), (2290) gives:
% 300.00/67.90 | | | | | (2458) all_2201_0 = all_2004_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2162_0, all_2203_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2270), (2292) gives:
% 300.00/67.90 | | | | | (2459) all_2203_0 = all_2162_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2203_0, all_2205_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2292), (2294) gives:
% 300.00/67.90 | | | | | (2460) all_2205_0 = all_2203_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2185_0, all_2207_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2282), (2296) gives:
% 300.00/67.90 | | | | | (2461) all_2207_0 = all_2185_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2207_0, all_2209_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2296), (2298) gives:
% 300.00/67.90 | | | | | (2462) all_2209_0 = all_2207_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2209_0, all_2215_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2298), (2300) gives:
% 300.00/67.90 | | | | | (2463) all_2215_0 = all_2209_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2215_0, all_2231_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2300), (2302) gives:
% 300.00/67.90 | | | | | (2464) all_2231_0 = all_2215_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2083_0, all_2243_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2216), (2304) gives:
% 300.00/67.90 | | | | | (2465) all_2243_0 = all_2083_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2079_0, all_2243_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2214), (2304) gives:
% 300.00/67.90 | | | | | (2466) all_2243_0 = all_2079_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_1907_0, all_2245_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2134), (2306) gives:
% 300.00/67.90 | | | | | (2467) all_2245_0 = all_1907_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2231_0, all_2248_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2302), (2308) gives:
% 300.00/67.90 | | | | | (2468) all_2248_0 = all_2231_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2205_0, all_2252_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2294), (2310) gives:
% 300.00/67.90 | | | | | (2469) all_2252_0 = all_2205_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2252_0, all_2254_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2310), (2312) gives:
% 300.00/67.90 | | | | | (2470) all_2254_0 = all_2252_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2254_0, all_2259_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2312), (2314) gives:
% 300.00/67.90 | | | | | (2471) all_2259_0 = all_2254_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2259_0, all_2266_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2314), (2316) gives:
% 300.00/67.90 | | | | | (2472) all_2266_0 = all_2259_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2266_0, all_2269_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2316), (2390) gives:
% 300.00/67.90 | | | | | (2473) all_2269_0 = all_2266_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2269_0, all_2274_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2321), (2390) gives:
% 300.00/67.90 | | | | | (2474) all_2274_0 = all_2269_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2274_0, all_2277_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2321), (2323) gives:
% 300.00/67.90 | | | | | (2475) all_2277_0 = all_2274_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2152_0, all_2282_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2262), (2325) gives:
% 300.00/67.90 | | | | | (2476) all_2282_0 = all_2152_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_1790_0, all_2282_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2108), (2325) gives:
% 300.00/67.90 | | | | | (2477) all_2282_0 = all_1790_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2053_0, all_2292_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2208), (2329) gives:
% 300.00/67.90 | | | | | (2478) all_2292_0 = all_2053_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2013_0, all_2292_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2192), (2329) gives:
% 300.00/67.90 | | | | | (2479) all_2292_0 = all_2013_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2245_0, all_2299_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2306), (2331) gives:
% 300.00/67.90 | | | | | (2480) all_2299_0 = all_2245_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2087_0, all_2299_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2220), (2331) gives:
% 300.00/67.90 | | | | | (2481) all_2299_0 = all_2087_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2243_0, all_2303_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2304), (2333) gives:
% 300.00/67.90 | | | | | (2482) all_2303_0 = all_2243_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2122_0, all_2303_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2250), (2333) gives:
% 300.00/67.90 | | | | | (2483) all_2303_0 = all_2122_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_1901_0, all_2303_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2130), (2333) gives:
% 300.00/67.90 | | | | | (2484) all_2303_0 = all_1901_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2201_0, all_2312_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2290), (2335) gives:
% 300.00/67.90 | | | | | (2485) all_2312_0 = all_2201_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2017_0, all_2312_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2196), (2335) gives:
% 300.00/67.90 | | | | | (2486) all_2312_0 = all_2017_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2000_0, all_2312_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2180), (2335) gives:
% 300.00/67.90 | | | | | (2487) all_2312_0 = all_2000_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2248_0, all_2319_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2308), (2337) gives:
% 300.00/67.90 | | | | | (2488) all_2319_0 = all_2248_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2319_0, all_2321_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2337), (2339) gives:
% 300.00/67.90 | | | | | (2489) all_2321_0 = all_2319_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2321_0, all_2328_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2339), (2341) gives:
% 300.00/67.90 | | | | | (2490) all_2328_0 = all_2321_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2195_0, all_2338_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2286), (2345) gives:
% 300.00/67.90 | | | | | (2491) all_2338_0 = all_2195_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2312_0, all_2340_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2335), (2347) gives:
% 300.00/67.90 | | | | | (2492) all_2340_0 = all_2312_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2245_0, all_2396_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2306), (2353) gives:
% 300.00/67.90 | | | | | (2493) all_2396_0 = all_2245_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2103_0, all_2396_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2234), (2353) gives:
% 300.00/67.90 | | | | | (2494) all_2396_0 = all_2103_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_1975_0, all_2396_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2162), (2353) gives:
% 300.00/67.90 | | | | | (2495) all_2396_0 = all_1975_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_1961_0, all_2396_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2150), (2353) gives:
% 300.00/67.90 | | | | | (2496) all_2396_0 = all_1961_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2332_0, all_2502_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2343), (2355) gives:
% 300.00/67.90 | | | | | (2497) all_2502_0 = all_2332_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_1888_0, all_2502_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2126), (2355) gives:
% 300.00/67.90 | | | | | (2498) all_2502_0 = all_1888_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_1859_0, all_2502_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2120), (2355) gives:
% 300.00/67.90 | | | | | (2499) all_2502_0 = all_1859_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_1857_0, all_2502_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2118), (2355) gives:
% 300.00/67.90 | | | | | (2500) all_2502_0 = all_1857_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2175_0, all_2506_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2276), (2357) gives:
% 300.00/67.90 | | | | | (2501) all_2506_0 = all_2175_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2115_0, all_2506_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2246), (2357) gives:
% 300.00/67.90 | | | | | (2502) all_2506_0 = all_2115_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2006_0, all_2508_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2186), (2359) gives:
% 300.00/67.90 | | | | | (2503) all_2508_0 = all_2006_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_1963_0, all_2508_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2152), (2359) gives:
% 300.00/67.90 | | | | | (2504) all_2508_0 = all_1963_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_1959_0, all_2508_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2148), (2359) gives:
% 300.00/67.90 | | | | | (2505) all_2508_0 = all_1959_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_1952_0, all_2508_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2146), (2359) gives:
% 300.00/67.90 | | | | | (2506) all_2508_0 = all_1952_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2055_0, all_2510_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2210), (2361) gives:
% 300.00/67.90 | | | | | (2507) all_2510_0 = all_2055_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2019_0, all_2510_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2198), (2361) gives:
% 300.00/67.90 | | | | | (2508) all_2510_0 = all_2019_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_1814_0, all_2510_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2114), (2361) gives:
% 300.00/67.90 | | | | | (2509) all_2510_0 = all_1814_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2000_0, all_2512_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2180), (2363) gives:
% 300.00/67.90 | | | | | (2510) all_2512_0 = all_2000_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_1992_0, all_2512_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2174), (2363) gives:
% 300.00/67.90 | | | | | (2511) all_2512_0 = all_1992_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2338_0, all_2514_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2345), (2365) gives:
% 300.00/67.90 | | | | | (2512) all_2514_0 = all_2338_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_1770_0, all_2514_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2100), (2365) gives:
% 300.00/67.90 | | | | | (2513) all_2514_0 = all_1770_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_1990_0, all_2516_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2172), (2367) gives:
% 300.00/67.90 | | | | | (2514) all_2516_0 = all_1990_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_1919_0, all_2516_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2140), (2367) gives:
% 300.00/67.90 | | | | | (2515) all_2516_0 = all_1919_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_1903_0, all_2516_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2132), (2367) gives:
% 300.00/67.90 | | | | | (2516) all_2516_0 = all_1903_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2340_0, all_2520_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2347), (2369) gives:
% 300.00/67.90 | | | | | (2517) all_2520_0 = all_2340_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2011_0, all_2520_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2190), (2369) gives:
% 300.00/67.90 | | | | | (2518) all_2520_0 = all_2011_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2512_0, all_2522_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2363), (2371) gives:
% 300.00/67.90 | | | | | (2519) all_2522_0 = all_2512_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_1998_0, all_2522_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2178), (2371) gives:
% 300.00/67.90 | | | | | (2520) all_2522_0 = all_1998_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2328_0, all_2528_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2341), (2373) gives:
% 300.00/67.90 | | | | | (2521) all_2528_0 = all_2328_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2109_0, all_2528_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2240), (2373) gives:
% 300.00/67.90 | | | | | (2522) all_2528_0 = all_2109_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_737_0, all_2530_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (195), (2375) gives:
% 300.00/67.90 | | | | | (2523) all_2530_0 = all_737_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2277_0, all_2530_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2323), (2375) gives:
% 300.00/67.90 | | | | | (2524) all_2530_0 = all_2277_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2396_0, all_2532_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2353), (2377) gives:
% 300.00/67.90 | | | | | (2525) all_2532_0 = all_2396_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2355_0, all_2532_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2349), (2377) gives:
% 300.00/67.90 | | | | | (2526) all_2532_0 = all_2355_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2290_0, all_2600_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2327), (2394) gives:
% 300.00/67.90 | | | | | (2527) all_2600_0 = all_2290_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2179_0, all_2600_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2280), (2394) gives:
% 300.00/67.90 | | | | | (2528) all_2600_0 = all_2179_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_2101_0, all_2600_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2232), (2394) gives:
% 300.00/67.90 | | | | | (2529) all_2600_0 = all_2101_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_1965_0, all_2600_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2154), (2394) gives:
% 300.00/67.90 | | | | | (2530) all_2600_0 = all_1965_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | GROUND_INST: instantiating (183) with all_1948_0, all_2600_0,
% 300.00/67.90 | | | | | tc_RealDef_Oreal, simplifying with (2142), (2394) gives:
% 300.00/67.90 | | | | | (2531) all_2600_0 = all_1948_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | COMBINE_EQS: (2527), (2531) imply:
% 300.00/67.90 | | | | | (2532) all_2290_0 = all_1948_0
% 300.00/67.90 | | | | |
% 300.00/67.90 | | | | | COMBINE_EQS: (2527), (2528) imply:
% 300.00/67.90 | | | | | (2533) all_2290_0 = all_2179_0
% 300.00/67.90 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2527), (2530) imply:
% 300.00/67.91 | | | | | (2534) all_2290_0 = all_1965_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2527), (2529) imply:
% 300.00/67.91 | | | | | (2535) all_2290_0 = all_2101_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2525), (2526) imply:
% 300.00/67.91 | | | | | (2536) all_2396_0 = all_2355_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2536) implies:
% 300.00/67.91 | | | | | (2537) all_2396_0 = all_2355_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2523), (2524) imply:
% 300.00/67.91 | | | | | (2538) all_2277_0 = all_737_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2538) implies:
% 300.00/67.91 | | | | | (2539) all_2277_0 = all_737_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2521), (2522) imply:
% 300.00/67.91 | | | | | (2540) all_2328_0 = all_2109_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2540) implies:
% 300.00/67.91 | | | | | (2541) all_2328_0 = all_2109_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2519), (2520) imply:
% 300.00/67.91 | | | | | (2542) all_2512_0 = all_1998_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2542) implies:
% 300.00/67.91 | | | | | (2543) all_2512_0 = all_1998_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2517), (2518) imply:
% 300.00/67.91 | | | | | (2544) all_2340_0 = all_2011_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2544) implies:
% 300.00/67.91 | | | | | (2545) all_2340_0 = all_2011_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2514), (2515) imply:
% 300.00/67.91 | | | | | (2546) all_1990_0 = all_1919_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2546) implies:
% 300.00/67.91 | | | | | (2547) all_1990_0 = all_1919_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2515), (2516) imply:
% 300.00/67.91 | | | | | (2548) all_1919_0 = all_1903_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2512), (2513) imply:
% 300.00/67.91 | | | | | (2549) all_2338_0 = all_1770_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2549) implies:
% 300.00/67.91 | | | | | (2550) all_2338_0 = all_1770_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2510), (2543) imply:
% 300.00/67.91 | | | | | (2551) all_2000_0 = all_1998_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2551) implies:
% 300.00/67.91 | | | | | (2552) all_2000_0 = all_1998_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2511), (2543) imply:
% 300.00/67.91 | | | | | (2553) all_1998_0 = all_1992_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2507), (2509) imply:
% 300.00/67.91 | | | | | (2554) all_2055_0 = all_1814_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2507), (2508) imply:
% 300.00/67.91 | | | | | (2555) all_2055_0 = all_2019_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2504), (2506) imply:
% 300.00/67.91 | | | | | (2556) all_1963_0 = all_1952_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2503), (2504) imply:
% 300.00/67.91 | | | | | (2557) all_2006_0 = all_1963_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2557) implies:
% 300.00/67.91 | | | | | (2558) all_2006_0 = all_1963_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2504), (2505) imply:
% 300.00/67.91 | | | | | (2559) all_1963_0 = all_1959_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2501), (2502) imply:
% 300.00/67.91 | | | | | (2560) all_2175_0 = all_2115_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2560) implies:
% 300.00/67.91 | | | | | (2561) all_2175_0 = all_2115_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2497), (2500) imply:
% 300.00/67.91 | | | | | (2562) all_2332_0 = all_1857_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2497), (2499) imply:
% 300.00/67.91 | | | | | (2563) all_2332_0 = all_1859_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2497), (2498) imply:
% 300.00/67.91 | | | | | (2564) all_2332_0 = all_1888_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2494), (2537) imply:
% 300.00/67.91 | | | | | (2565) all_2355_0 = all_2103_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2496), (2537) imply:
% 300.00/67.91 | | | | | (2566) all_2355_0 = all_1961_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2495), (2537) imply:
% 300.00/67.91 | | | | | (2567) all_2355_0 = all_1975_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2493), (2537) imply:
% 300.00/67.91 | | | | | (2568) all_2355_0 = all_2245_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2565), (2567) imply:
% 300.00/67.91 | | | | | (2569) all_2103_0 = all_1975_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2569) implies:
% 300.00/67.91 | | | | | (2570) all_2103_0 = all_1975_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2566), (2567) imply:
% 300.00/67.91 | | | | | (2571) all_1975_0 = all_1961_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2567), (2568) imply:
% 300.00/67.91 | | | | | (2572) all_2245_0 = all_1975_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2572) implies:
% 300.00/67.91 | | | | | (2573) all_2245_0 = all_1975_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2492), (2545) imply:
% 300.00/67.91 | | | | | (2574) all_2312_0 = all_2011_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2574) implies:
% 300.00/67.91 | | | | | (2575) all_2312_0 = all_2011_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2491), (2550) imply:
% 300.00/67.91 | | | | | (2576) all_2195_0 = all_1770_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2576) implies:
% 300.00/67.91 | | | | | (2577) all_2195_0 = all_1770_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2562), (2563) imply:
% 300.00/67.91 | | | | | (2578) all_1859_0 = all_1857_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2563), (2564) imply:
% 300.00/67.91 | | | | | (2579) all_1888_0 = all_1859_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2579) implies:
% 300.00/67.91 | | | | | (2580) all_1888_0 = all_1859_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2490), (2541) imply:
% 300.00/67.91 | | | | | (2581) all_2321_0 = all_2109_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2581) implies:
% 300.00/67.91 | | | | | (2582) all_2321_0 = all_2109_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2489), (2582) imply:
% 300.00/67.91 | | | | | (2583) all_2319_0 = all_2109_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2583) implies:
% 300.00/67.91 | | | | | (2584) all_2319_0 = all_2109_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2488), (2584) imply:
% 300.00/67.91 | | | | | (2585) all_2248_0 = all_2109_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2585) implies:
% 300.00/67.91 | | | | | (2586) all_2248_0 = all_2109_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2485), (2575) imply:
% 300.00/67.91 | | | | | (2587) all_2201_0 = all_2011_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2587) implies:
% 300.00/67.91 | | | | | (2588) all_2201_0 = all_2011_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2487), (2575) imply:
% 300.00/67.91 | | | | | (2589) all_2011_0 = all_2000_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2486), (2575) imply:
% 300.00/67.91 | | | | | (2590) all_2017_0 = all_2011_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2590) implies:
% 300.00/67.91 | | | | | (2591) all_2017_0 = all_2011_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2483), (2484) imply:
% 300.00/67.91 | | | | | (2592) all_2122_0 = all_1901_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2482), (2483) imply:
% 300.00/67.91 | | | | | (2593) all_2243_0 = all_2122_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2593) implies:
% 300.00/67.91 | | | | | (2594) all_2243_0 = all_2122_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2480), (2481) imply:
% 300.00/67.91 | | | | | (2595) all_2245_0 = all_2087_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2595) implies:
% 300.00/67.91 | | | | | (2596) all_2245_0 = all_2087_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2478), (2479) imply:
% 300.00/67.91 | | | | | (2597) all_2053_0 = all_2013_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2597) implies:
% 300.00/67.91 | | | | | (2598) all_2053_0 = all_2013_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2533), (2535) imply:
% 300.00/67.91 | | | | | (2599) all_2179_0 = all_2101_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2533), (2534) imply:
% 300.00/67.91 | | | | | (2600) all_2179_0 = all_1965_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2532), (2533) imply:
% 300.00/67.91 | | | | | (2601) all_2179_0 = all_1948_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2476), (2477) imply:
% 300.00/67.91 | | | | | (2602) all_2152_0 = all_1790_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2602) implies:
% 300.00/67.91 | | | | | (2603) all_2152_0 = all_1790_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2475), (2539) imply:
% 300.00/67.91 | | | | | (2604) all_2274_0 = all_737_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2604) implies:
% 300.00/67.91 | | | | | (2605) all_2274_0 = all_737_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2474), (2605) imply:
% 300.00/67.91 | | | | | (2606) all_2269_0 = all_737_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2606) implies:
% 300.00/67.91 | | | | | (2607) all_2269_0 = all_737_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2473), (2607) imply:
% 300.00/67.91 | | | | | (2608) all_2266_0 = all_737_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2608) implies:
% 300.00/67.91 | | | | | (2609) all_2266_0 = all_737_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2472), (2609) imply:
% 300.00/67.91 | | | | | (2610) all_2259_0 = all_737_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2610) implies:
% 300.00/67.91 | | | | | (2611) all_2259_0 = all_737_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2471), (2611) imply:
% 300.00/67.91 | | | | | (2612) all_2254_0 = all_737_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2612) implies:
% 300.00/67.91 | | | | | (2613) all_2254_0 = all_737_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2470), (2613) imply:
% 300.00/67.91 | | | | | (2614) all_2252_0 = all_737_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2614) implies:
% 300.00/67.91 | | | | | (2615) all_2252_0 = all_737_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2469), (2615) imply:
% 300.00/67.91 | | | | | (2616) all_2205_0 = all_737_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2616) implies:
% 300.00/67.91 | | | | | (2617) all_2205_0 = all_737_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2468), (2586) imply:
% 300.00/67.91 | | | | | (2618) all_2231_0 = all_2109_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2618) implies:
% 300.00/67.91 | | | | | (2619) all_2231_0 = all_2109_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2467), (2596) imply:
% 300.00/67.91 | | | | | (2620) all_2087_0 = all_1907_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2573), (2596) imply:
% 300.00/67.91 | | | | | (2621) all_2087_0 = all_1975_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2466), (2594) imply:
% 300.00/67.91 | | | | | (2622) all_2122_0 = all_2079_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2622) implies:
% 300.00/67.91 | | | | | (2623) all_2122_0 = all_2079_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2465), (2466) imply:
% 300.00/67.91 | | | | | (2624) all_2083_0 = all_2079_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2624) implies:
% 300.00/67.91 | | | | | (2625) all_2083_0 = all_2079_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2464), (2619) imply:
% 300.00/67.91 | | | | | (2626) all_2215_0 = all_2109_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2626) implies:
% 300.00/67.91 | | | | | (2627) all_2215_0 = all_2109_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2463), (2627) imply:
% 300.00/67.91 | | | | | (2628) all_2209_0 = all_2109_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2628) implies:
% 300.00/67.91 | | | | | (2629) all_2209_0 = all_2109_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2462), (2629) imply:
% 300.00/67.91 | | | | | (2630) all_2207_0 = all_2109_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2630) implies:
% 300.00/67.91 | | | | | (2631) all_2207_0 = all_2109_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2461), (2631) imply:
% 300.00/67.91 | | | | | (2632) all_2185_0 = all_2109_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2632) implies:
% 300.00/67.91 | | | | | (2633) all_2185_0 = all_2109_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2460), (2617) imply:
% 300.00/67.91 | | | | | (2634) all_2203_0 = all_737_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2634) implies:
% 300.00/67.91 | | | | | (2635) all_2203_0 = all_737_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2459), (2635) imply:
% 300.00/67.91 | | | | | (2636) all_2162_0 = all_737_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2636) implies:
% 300.00/67.91 | | | | | (2637) all_2162_0 = all_737_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2457), (2458) imply:
% 300.00/67.91 | | | | | (2638) all_2089_0 = all_2004_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2638) implies:
% 300.00/67.91 | | | | | (2639) all_2089_0 = all_2004_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2458), (2588) imply:
% 300.00/67.91 | | | | | (2640) all_2011_0 = all_2004_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2640) implies:
% 300.00/67.91 | | | | | (2641) all_2011_0 = all_2004_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2453), (2456) imply:
% 300.00/67.91 | | | | | (2642) all_2097_0 = all_1788_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2453), (2455) imply:
% 300.00/67.91 | | | | | (2643) all_2097_0 = all_1950_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2453), (2454) imply:
% 300.00/67.91 | | | | | (2644) all_2097_0 = all_2085_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2452), (2577) imply:
% 300.00/67.91 | | | | | (2645) all_2191_0 = all_1770_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2645) implies:
% 300.00/67.91 | | | | | (2646) all_2191_0 = all_1770_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2451), (2646) imply:
% 300.00/67.91 | | | | | (2647) all_2051_0 = all_1770_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2647) implies:
% 300.00/67.91 | | | | | (2648) all_2051_0 = all_1770_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2450), (2633) imply:
% 300.00/67.91 | | | | | (2649) all_2173_0 = all_2109_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2649) implies:
% 300.00/67.91 | | | | | (2650) all_2173_0 = all_2109_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2600), (2601) imply:
% 300.00/67.91 | | | | | (2651) all_1965_0 = all_1948_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2599), (2600) imply:
% 300.00/67.91 | | | | | (2652) all_2101_0 = all_1965_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2652) implies:
% 300.00/67.91 | | | | | (2653) all_2101_0 = all_1965_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2449), (2561) imply:
% 300.00/67.91 | | | | | (2654) all_2115_0 = all_2024_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2448), (2561) imply:
% 300.00/67.91 | | | | | (2655) all_2115_0 = all_2085_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2447), (2561) imply:
% 300.00/67.91 | | | | | (2656) all_2164_0 = all_2115_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2656) implies:
% 300.00/67.91 | | | | | (2657) all_2164_0 = all_2115_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2446), (2650) imply:
% 300.00/67.91 | | | | | (2658) all_2164_0 = all_2109_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2658) implies:
% 300.00/67.91 | | | | | (2659) all_2164_0 = all_2109_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2657), (2659) imply:
% 300.00/67.91 | | | | | (2660) all_2115_0 = all_2109_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2660) implies:
% 300.00/67.91 | | | | | (2661) all_2115_0 = all_2109_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2445), (2637) imply:
% 300.00/67.91 | | | | | (2662) all_2156_0 = all_737_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2662) implies:
% 300.00/67.91 | | | | | (2663) all_2156_0 = all_737_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2442), (2443) imply:
% 300.00/67.91 | | | | | (2664) all_2126_0 = all_2026_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2442), (2444) imply:
% 300.00/67.91 | | | | | (2665) all_2126_0 = all_2002_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2441), (2663) imply:
% 300.00/67.91 | | | | | (2666) all_2150_0 = all_737_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2666) implies:
% 300.00/67.91 | | | | | (2667) all_2150_0 = all_737_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2439), (2440) imply:
% 300.00/67.91 | | | | | (2668) all_2130_0 = all_2015_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2668) implies:
% 300.00/67.91 | | | | | (2669) all_2130_0 = all_2015_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2438), (2603) imply:
% 300.00/67.91 | | | | | (2670) all_2009_0 = all_1790_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2670) implies:
% 300.00/67.91 | | | | | (2671) all_2009_0 = all_1790_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2437), (2667) imply:
% 300.00/67.91 | | | | | (2672) all_2148_0 = all_737_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2672) implies:
% 300.00/67.91 | | | | | (2673) all_2148_0 = all_737_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2436), (2673) imply:
% 300.00/67.91 | | | | | (2674) all_2107_0 = all_737_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2674) implies:
% 300.00/67.91 | | | | | (2675) all_2107_0 = all_737_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2435), (2669) imply:
% 300.00/67.91 | | | | | (2676) all_2091_0 = all_2015_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2676) implies:
% 300.00/67.91 | | | | | (2677) all_2091_0 = all_2015_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2664), (2665) imply:
% 300.00/67.91 | | | | | (2678) all_2026_0 = all_2002_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2678) implies:
% 300.00/67.91 | | | | | (2679) all_2026_0 = all_2002_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2433), (2434) imply:
% 300.00/67.91 | | | | | (2680) all_2057_0 = all_1977_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2680) implies:
% 300.00/67.91 | | | | | (2681) all_2057_0 = all_1977_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2592), (2623) imply:
% 300.00/67.91 | | | | | (2682) all_2079_0 = all_1901_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2682) implies:
% 300.00/67.91 | | | | | (2683) all_2079_0 = all_1901_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2431), (2432) imply:
% 300.00/67.91 | | | | | (2684) all_2101_0 = all_1879_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2684) implies:
% 300.00/67.91 | | | | | (2685) all_2101_0 = all_1879_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2654), (2661) imply:
% 300.00/67.91 | | | | | (2686) all_2109_0 = all_2024_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2655), (2661) imply:
% 300.00/67.91 | | | | | (2687) all_2109_0 = all_2085_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2429), (2430) imply:
% 300.00/67.91 | | | | | (2688) all_2103_0 = all_1911_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2688) implies:
% 300.00/67.91 | | | | | (2689) all_2103_0 = all_1911_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2427), (2428) imply:
% 300.00/67.91 | | | | | (2690) all_2107_0 = all_2105_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2690) implies:
% 300.00/67.91 | | | | | (2691) all_2107_0 = all_2105_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2686), (2687) imply:
% 300.00/67.91 | | | | | (2692) all_2085_0 = all_2024_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2692) implies:
% 300.00/67.91 | | | | | (2693) all_2085_0 = all_2024_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2426), (2691) imply:
% 300.00/67.91 | | | | | (2694) all_2105_0 = all_2095_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2675), (2691) imply:
% 300.00/67.91 | | | | | (2695) all_2105_0 = all_737_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2694), (2695) imply:
% 300.00/67.91 | | | | | (2696) all_2095_0 = all_737_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2696) implies:
% 300.00/67.91 | | | | | (2697) all_2095_0 = all_737_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2425), (2689) imply:
% 300.00/67.91 | | | | | (2698) all_1952_0 = all_1911_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2698) implies:
% 300.00/67.91 | | | | | (2699) all_1952_0 = all_1911_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2570), (2689) imply:
% 300.00/67.91 | | | | | (2700) all_1975_0 = all_1911_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2700) implies:
% 300.00/67.91 | | | | | (2701) all_1975_0 = all_1911_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2653), (2685) imply:
% 300.00/67.91 | | | | | (2702) all_1965_0 = all_1879_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2702) implies:
% 300.00/67.91 | | | | | (2703) all_1965_0 = all_1879_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2643), (2644) imply:
% 300.00/67.91 | | | | | (2704) all_2085_0 = all_1950_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2704) implies:
% 300.00/67.91 | | | | | (2705) all_2085_0 = all_1950_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2642), (2643) imply:
% 300.00/67.91 | | | | | (2706) all_1950_0 = all_1788_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2424), (2697) imply:
% 300.00/67.91 | | | | | (2707) all_2093_0 = all_737_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2707) implies:
% 300.00/67.91 | | | | | (2708) all_2093_0 = all_737_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2423), (2708) imply:
% 300.00/67.91 | | | | | (2709) all_2089_0 = all_737_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2709) implies:
% 300.00/67.91 | | | | | (2710) all_2089_0 = all_737_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2422), (2677) imply:
% 300.00/67.91 | | | | | (2711) all_2083_0 = all_2015_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2711) implies:
% 300.00/67.91 | | | | | (2712) all_2083_0 = all_2015_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2639), (2710) imply:
% 300.00/67.91 | | | | | (2713) all_2004_0 = all_737_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2713) implies:
% 300.00/67.91 | | | | | (2714) all_2004_0 = all_737_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2620), (2621) imply:
% 300.00/67.91 | | | | | (2715) all_1975_0 = all_1907_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2715) implies:
% 300.00/67.91 | | | | | (2716) all_1975_0 = all_1907_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2421), (2693) imply:
% 300.00/67.91 | | | | | (2717) all_2051_0 = all_2024_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2717) implies:
% 300.00/67.91 | | | | | (2718) all_2051_0 = all_2024_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2693), (2705) imply:
% 300.00/67.91 | | | | | (2719) all_2024_0 = all_1950_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2419), (2712) imply:
% 300.00/67.91 | | | | | (2720) all_2032_0 = all_2015_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2720) implies:
% 300.00/67.91 | | | | | (2721) all_2032_0 = all_2015_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2420), (2712) imply:
% 300.00/67.91 | | | | | (2722) all_2015_0 = all_1961_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2625), (2712) imply:
% 300.00/67.91 | | | | | (2723) all_2079_0 = all_2015_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2723) implies:
% 300.00/67.91 | | | | | (2724) all_2079_0 = all_2015_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2683), (2724) imply:
% 300.00/67.91 | | | | | (2725) all_2015_0 = all_1901_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2725) implies:
% 300.00/67.91 | | | | | (2726) all_2015_0 = all_1901_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2418), (2681) imply:
% 300.00/67.91 | | | | | (2727) all_2006_0 = all_1977_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2727) implies:
% 300.00/67.91 | | | | | (2728) all_2006_0 = all_1977_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2554), (2555) imply:
% 300.00/67.91 | | | | | (2729) all_2019_0 = all_1814_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2729) implies:
% 300.00/67.91 | | | | | (2730) all_2019_0 = all_1814_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2417), (2598) imply:
% 300.00/67.91 | | | | | (2731) all_2032_0 = all_2013_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2731) implies:
% 300.00/67.91 | | | | | (2732) all_2032_0 = all_2013_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2648), (2718) imply:
% 300.00/67.91 | | | | | (2733) all_2024_0 = all_1770_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2733) implies:
% 300.00/67.91 | | | | | (2734) all_2024_0 = all_1770_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2721), (2732) imply:
% 300.00/67.91 | | | | | (2735) all_2015_0 = all_2013_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2735) implies:
% 300.00/67.91 | | | | | (2736) all_2015_0 = all_2013_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2416), (2679) imply:
% 300.00/67.91 | | | | | (2737) all_2017_0 = all_2002_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2737) implies:
% 300.00/67.91 | | | | | (2738) all_2017_0 = all_2002_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2719), (2734) imply:
% 300.00/67.91 | | | | | (2739) all_1950_0 = all_1770_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2739) implies:
% 300.00/67.91 | | | | | (2740) all_1950_0 = all_1770_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2415), (2730) imply:
% 300.00/67.91 | | | | | (2741) all_1996_0 = all_1814_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2741) implies:
% 300.00/67.91 | | | | | (2742) all_1996_0 = all_1814_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2591), (2738) imply:
% 300.00/67.91 | | | | | (2743) all_2011_0 = all_2002_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2743) implies:
% 300.00/67.91 | | | | | (2744) all_2011_0 = all_2002_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2726), (2736) imply:
% 300.00/67.91 | | | | | (2745) all_2013_0 = all_1901_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2722), (2736) imply:
% 300.00/67.91 | | | | | (2746) all_2013_0 = all_1961_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2745), (2746) imply:
% 300.00/67.91 | | | | | (2747) all_1961_0 = all_1901_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2747) implies:
% 300.00/67.91 | | | | | (2748) all_1961_0 = all_1901_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2589), (2744) imply:
% 300.00/67.91 | | | | | (2749) all_2002_0 = all_2000_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2641), (2744) imply:
% 300.00/67.91 | | | | | (2750) all_2004_0 = all_2002_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2750) implies:
% 300.00/67.91 | | | | | (2751) all_2004_0 = all_2002_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2414), (2671) imply:
% 300.00/67.91 | | | | | (2752) all_1967_0 = all_1790_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | SIMP: (2752) implies:
% 300.00/67.91 | | | | | (2753) all_1967_0 = all_1790_0
% 300.00/67.91 | | | | |
% 300.00/67.91 | | | | | COMBINE_EQS: (2558), (2728) imply:
% 300.00/67.91 | | | | | (2754) all_1977_0 = all_1963_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2413), (2728) imply:
% 300.00/67.92 | | | | | (2755) all_1977_0 = all_1973_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2412), (2728) imply:
% 300.00/67.92 | | | | | (2756) all_1979_0 = all_1977_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | SIMP: (2756) implies:
% 300.00/67.92 | | | | | (2757) all_1979_0 = all_1977_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2714), (2751) imply:
% 300.00/67.92 | | | | | (2758) all_2002_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | SIMP: (2758) implies:
% 300.00/67.92 | | | | | (2759) all_2002_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2749), (2759) imply:
% 300.00/67.92 | | | | | (2760) all_2000_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | SIMP: (2760) implies:
% 300.00/67.92 | | | | | (2761) all_2000_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2552), (2761) imply:
% 300.00/67.92 | | | | | (2762) all_1998_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | SIMP: (2762) implies:
% 300.00/67.92 | | | | | (2763) all_1998_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2553), (2763) imply:
% 300.00/67.92 | | | | | (2764) all_1992_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | SIMP: (2764) implies:
% 300.00/67.92 | | | | | (2765) all_1992_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2411), (2742) imply:
% 300.00/67.92 | | | | | (2766) all_1990_0 = all_1814_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | SIMP: (2766) implies:
% 300.00/67.92 | | | | | (2767) all_1990_0 = all_1814_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2410), (2765) imply:
% 300.00/67.92 | | | | | (2768) all_1987_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | SIMP: (2768) implies:
% 300.00/67.92 | | | | | (2769) all_1987_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2409), (2547) imply:
% 300.00/67.92 | | | | | (2770) all_1969_0 = all_1919_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2409), (2767) imply:
% 300.00/67.92 | | | | | (2771) all_1969_0 = all_1814_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2408), (2769) imply:
% 300.00/67.92 | | | | | (2772) all_1984_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | SIMP: (2772) implies:
% 300.00/67.92 | | | | | (2773) all_1984_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2407), (2773) imply:
% 300.00/67.92 | | | | | (2774) all_1979_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | SIMP: (2774) implies:
% 300.00/67.92 | | | | | (2775) all_1979_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2757), (2775) imply:
% 300.00/67.92 | | | | | (2776) all_1977_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | SIMP: (2776) implies:
% 300.00/67.92 | | | | | (2777) all_1977_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2754), (2755) imply:
% 300.00/67.92 | | | | | (2778) all_1973_0 = all_1963_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2755), (2777) imply:
% 300.00/67.92 | | | | | (2779) all_1973_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2571), (2716) imply:
% 300.00/67.92 | | | | | (2780) all_1961_0 = all_1907_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | SIMP: (2780) implies:
% 300.00/67.92 | | | | | (2781) all_1961_0 = all_1907_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2701), (2716) imply:
% 300.00/67.92 | | | | | (2782) all_1911_0 = all_1907_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | SIMP: (2782) implies:
% 300.00/67.92 | | | | | (2783) all_1911_0 = all_1907_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2778), (2779) imply:
% 300.00/67.92 | | | | | (2784) all_1963_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | SIMP: (2784) implies:
% 300.00/67.92 | | | | | (2785) all_1963_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2770), (2771) imply:
% 300.00/67.92 | | | | | (2786) all_1919_0 = all_1814_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | SIMP: (2786) implies:
% 300.00/67.92 | | | | | (2787) all_1919_0 = all_1814_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2406), (2753) imply:
% 300.00/67.92 | | | | | (2788) all_1790_0 = all_1780_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2405), (2753) imply:
% 300.00/67.92 | | | | | (2789) all_1796_0 = all_1790_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | SIMP: (2789) implies:
% 300.00/67.92 | | | | | (2790) all_1796_0 = all_1790_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2651), (2703) imply:
% 300.00/67.92 | | | | | (2791) all_1948_0 = all_1879_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | SIMP: (2791) implies:
% 300.00/67.92 | | | | | (2792) all_1948_0 = all_1879_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2556), (2559) imply:
% 300.00/67.92 | | | | | (2793) all_1959_0 = all_1952_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2559), (2785) imply:
% 300.00/67.92 | | | | | (2794) all_1959_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2404), (2748) imply:
% 300.00/67.92 | | | | | (2795) all_1901_0 = all_1890_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2748), (2781) imply:
% 300.00/67.92 | | | | | (2796) all_1907_0 = all_1901_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | SIMP: (2796) implies:
% 300.00/67.92 | | | | | (2797) all_1907_0 = all_1901_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2793), (2794) imply:
% 300.00/67.92 | | | | | (2798) all_1952_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | SIMP: (2798) implies:
% 300.00/67.92 | | | | | (2799) all_1952_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2699), (2799) imply:
% 300.00/67.92 | | | | | (2800) all_1911_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | SIMP: (2800) implies:
% 300.00/67.92 | | | | | (2801) all_1911_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2706), (2740) imply:
% 300.00/67.92 | | | | | (2802) all_1788_0 = all_1770_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | SIMP: (2802) implies:
% 300.00/67.92 | | | | | (2803) all_1788_0 = all_1770_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2403), (2792) imply:
% 300.00/67.92 | | | | | (2804) all_1879_0 = all_1812_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2402), (2792) imply:
% 300.00/67.92 | | | | | (2805) all_1886_0 = all_1879_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | SIMP: (2805) implies:
% 300.00/67.92 | | | | | (2806) all_1886_0 = all_1879_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2548), (2787) imply:
% 300.00/67.92 | | | | | (2807) all_1903_0 = all_1814_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | SIMP: (2807) implies:
% 300.00/67.92 | | | | | (2808) all_1903_0 = all_1814_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2783), (2801) imply:
% 300.00/67.92 | | | | | (2809) all_1907_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | SIMP: (2809) implies:
% 300.00/67.92 | | | | | (2810) all_1907_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2797), (2810) imply:
% 300.00/67.92 | | | | | (2811) all_1901_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | SIMP: (2811) implies:
% 300.00/67.92 | | | | | (2812) all_1901_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2401), (2808) imply:
% 300.00/67.92 | | | | | (2813) all_1886_0 = all_1814_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | SIMP: (2813) implies:
% 300.00/67.92 | | | | | (2814) all_1886_0 = all_1814_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2795), (2812) imply:
% 300.00/67.92 | | | | | (2815) all_1890_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | SIMP: (2815) implies:
% 300.00/67.92 | | | | | (2816) all_1890_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2400), (2816) imply:
% 300.00/67.92 | | | | | (2817) all_1888_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | SIMP: (2817) implies:
% 300.00/67.92 | | | | | (2818) all_1888_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2580), (2818) imply:
% 300.00/67.92 | | | | | (2819) all_1859_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | SIMP: (2819) implies:
% 300.00/67.92 | | | | | (2820) all_1859_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2398), (2814) imply:
% 300.00/67.92 | | | | | (2821) all_1838_0 = all_1814_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | SIMP: (2821) implies:
% 300.00/67.92 | | | | | (2822) all_1838_0 = all_1814_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2399), (2814) imply:
% 300.00/67.92 | | | | | (2823) all_1814_0 = all_1796_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2806), (2814) imply:
% 300.00/67.92 | | | | | (2824) all_1879_0 = all_1814_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | SIMP: (2824) implies:
% 300.00/67.92 | | | | | (2825) all_1879_0 = all_1814_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2804), (2825) imply:
% 300.00/67.92 | | | | | (2826) all_1814_0 = all_1812_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | SIMP: (2826) implies:
% 300.00/67.92 | | | | | (2827) all_1814_0 = all_1812_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2578), (2820) imply:
% 300.00/67.92 | | | | | (2828) all_1857_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | SIMP: (2828) implies:
% 300.00/67.92 | | | | | (2829) all_1857_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2397), (2829) imply:
% 300.00/67.92 | | | | | (2830) all_1838_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | SIMP: (2830) implies:
% 300.00/67.92 | | | | | (2831) all_1838_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2822), (2831) imply:
% 300.00/67.92 | | | | | (2832) all_1814_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | SIMP: (2832) implies:
% 300.00/67.92 | | | | | (2833) all_1814_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2823), (2827) imply:
% 300.00/67.92 | | | | | (2834) all_1812_0 = all_1796_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2827), (2833) imply:
% 300.00/67.92 | | | | | (2835) all_1812_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2834), (2835) imply:
% 300.00/67.92 | | | | | (2836) all_1796_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | SIMP: (2836) implies:
% 300.00/67.92 | | | | | (2837) all_1796_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2790), (2837) imply:
% 300.00/67.92 | | | | | (2838) all_1790_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | SIMP: (2838) implies:
% 300.00/67.92 | | | | | (2839) all_1790_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2788), (2839) imply:
% 300.00/67.92 | | | | | (2840) all_1780_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | SIMP: (2840) implies:
% 300.00/67.92 | | | | | (2841) all_1780_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2396), (2803) imply:
% 300.00/67.92 | | | | | (2842) all_1778_0 = all_1770_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | SIMP: (2842) implies:
% 300.00/67.92 | | | | | (2843) all_1778_0 = all_1770_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2395), (2841) imply:
% 300.00/67.92 | | | | | (2844) all_1778_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | SIMP: (2844) implies:
% 300.00/67.92 | | | | | (2845) all_1778_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | COMBINE_EQS: (2843), (2845) imply:
% 300.00/67.92 | | | | | (2846) all_1770_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | SIMP: (2846) implies:
% 300.00/67.92 | | | | | (2847) all_1770_0 = all_737_0
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | REDUCE: (2099), (2847) imply:
% 300.00/67.92 | | | | | (2848) ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 300.00/67.92 | | | | | all_737_0, all_1007_0)
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | PRED_UNIFY: (1646), (2848) imply:
% 300.00/67.92 | | | | | (2849) $false
% 300.00/67.92 | | | | |
% 300.00/67.92 | | | | | CLOSE: (2849) is inconsistent.
% 300.00/67.92 | | | | |
%------------------------------------------------------------------------------