TSTP Solution File: SWW258+1 by Princess---230619
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- Process Solution
%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWW258+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 : n016.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 00:49:36 EDT 2023
% Result : Theorem 87.86s 12.52s
% Output : Proof 227.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWW258+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.16/0.34 % Computer : n016.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Sun Aug 27 18:21:14 EDT 2023
% 0.16/0.34 % CPUTime :
% 0.20/0.60 ________ _____
% 0.20/0.60 ___ __ \_________(_)________________________________
% 0.20/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.60
% 0.20/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.60 (2023-06-19)
% 0.20/0.60
% 0.20/0.60 (c) Philipp Rümmer, 2009-2023
% 0.20/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.60 Amanda Stjerna.
% 0.20/0.60 Free software under BSD-3-Clause.
% 0.20/0.60
% 0.20/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.60
% 0.20/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.20/0.62 Running up to 7 provers in parallel.
% 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 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 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
% 17.73/3.14 Prover 2: Preprocessing ...
% 18.61/3.27 Prover 0: Preprocessing ...
% 18.61/3.33 Prover 3: Preprocessing ...
% 20.06/3.44 Prover 1: Preprocessing ...
% 20.06/3.51 Prover 6: Preprocessing ...
% 20.85/3.56 Prover 5: Preprocessing ...
% 20.85/3.58 Prover 4: Preprocessing ...
% 52.56/7.86 Prover 1: Warning: ignoring some quantifiers
% 52.56/7.99 Prover 3: Warning: ignoring some quantifiers
% 54.77/8.14 Prover 3: Constructing countermodel ...
% 55.84/8.28 Prover 1: Constructing countermodel ...
% 57.62/8.54 Prover 6: Proving ...
% 58.16/8.73 Prover 4: Warning: ignoring some quantifiers
% 62.70/9.19 Prover 4: Constructing countermodel ...
% 65.46/9.57 Prover 5: Proving ...
% 72.49/10.51 Prover 0: Proving ...
% 74.31/10.73 Prover 2: Proving ...
% 84.54/12.13 Prover 2: stopped
% 84.54/12.13 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 87.86/12.51 Prover 3: proved (11872ms)
% 87.86/12.51
% 87.86/12.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 87.86/12.52
% 87.86/12.52 Prover 5: stopped
% 88.10/12.53 Prover 6: stopped
% 88.12/12.54 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 88.12/12.54 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 88.12/12.54 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 88.73/12.62 Prover 0: stopped
% 88.73/12.63 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 92.83/13.21 Prover 7: Preprocessing ...
% 96.31/13.62 Prover 10: Preprocessing ...
% 96.48/13.87 Prover 8: Preprocessing ...
% 98.16/13.90 Prover 11: Preprocessing ...
% 98.16/13.93 Prover 13: Preprocessing ...
% 106.92/15.02 Prover 10: Warning: ignoring some quantifiers
% 107.73/15.12 Prover 7: Warning: ignoring some quantifiers
% 107.73/15.18 Prover 10: Constructing countermodel ...
% 109.23/15.39 Prover 8: Warning: ignoring some quantifiers
% 109.23/15.41 Prover 7: Constructing countermodel ...
% 110.19/15.50 Prover 8: Constructing countermodel ...
% 113.37/15.97 Prover 1: stopped
% 113.37/15.97 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 115.68/16.23 Prover 13: Warning: ignoring some quantifiers
% 121.12/17.00 Prover 11: Warning: ignoring some quantifiers
% 121.75/17.03 Prover 13: Constructing countermodel ...
% 123.06/17.20 Prover 11: Constructing countermodel ...
% 123.25/17.24 Prover 16: Preprocessing ...
% 134.47/18.69 Prover 16: Warning: ignoring some quantifiers
% 134.47/18.78 Prover 16: Constructing countermodel ...
% 149.33/20.81 Prover 16: stopped
% 149.33/20.83 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 153.80/21.41 Prover 19: Preprocessing ...
% 156.30/21.78 Prover 13: stopped
% 164.91/22.88 Prover 19: Warning: ignoring some quantifiers
% 165.87/22.98 Prover 19: Constructing countermodel ...
% 173.53/23.99 Prover 19: stopped
% 199.34/27.98 Prover 4: stopped
% 220.75/31.84 Prover 7: stopped
% 221.71/32.06 Prover 10: Found proof (size 1602)
% 221.71/32.06 Prover 10: proved (19533ms)
% 221.71/32.06 Prover 11: stopped
% 222.34/32.33 Prover 8: stopped
% 222.34/32.34
% 222.34/32.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 222.34/32.34
% 224.83/34.33 % SZS output start Proof for theBenchmark
% 224.94/34.36 Assumptions after simplification:
% 224.94/34.36 ---------------------------------
% 224.94/34.36
% 224.94/34.36 (arity_Complex__Ocomplex__Groups_Ogroup__add)
% 224.94/34.36 $i(tc_Complex_Ocomplex) & class_Groups_Ogroup__add(tc_Complex_Ocomplex)
% 224.94/34.36
% 224.94/34.36 (arity_Complex__Ocomplex__Power_Opower)
% 224.94/34.36 $i(tc_Complex_Ocomplex) & class_Power_Opower(tc_Complex_Ocomplex)
% 224.94/34.36
% 224.94/34.36 (arity_Complex__Ocomplex__RealVector_Oreal__normed__vector)
% 224.94/34.37 $i(tc_Complex_Ocomplex) &
% 224.94/34.37 class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)
% 224.94/34.37
% 224.94/34.37 (arity_Complex__Ocomplex__Rings_Odivision__ring)
% 224.94/34.37 $i(tc_Complex_Ocomplex) & class_Rings_Odivision__ring(tc_Complex_Ocomplex)
% 224.94/34.37
% 224.94/34.37 (arity_Complex__Ocomplex__Rings_Odivision__ring__inverse__zero)
% 224.94/34.37 $i(tc_Complex_Ocomplex) &
% 224.94/34.37 class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex)
% 224.94/34.37
% 224.94/34.37 (arity_Complex__Ocomplex__Rings_Omult__zero)
% 224.94/34.37 $i(tc_Complex_Ocomplex) & class_Rings_Omult__zero(tc_Complex_Ocomplex)
% 224.94/34.37
% 224.94/34.37 (arity_Complex__Ocomplex__Rings_Ono__zero__divisors)
% 224.94/34.37 $i(tc_Complex_Ocomplex) & class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex)
% 224.94/34.37
% 224.94/34.37 (arity_Complex__Ocomplex__Rings_Oring__1__no__zero__divisors)
% 224.94/34.37 $i(tc_Complex_Ocomplex) &
% 224.94/34.37 class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex)
% 224.94/34.37
% 224.94/34.37 (arity_Complex__Ocomplex__Rings_Oring__no__zero__divisors)
% 224.94/34.37 $i(tc_Complex_Ocomplex) &
% 224.94/34.37 class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex)
% 224.94/34.37
% 224.94/34.37 (arity_Complex__Ocomplex__Rings_Ozero__neq__one)
% 224.94/34.37 $i(tc_Complex_Ocomplex) & class_Rings_Ozero__neq__one(tc_Complex_Ocomplex)
% 224.94/34.37
% 224.94/34.37 (arity_RealDef__Oreal__Fields_Olinordered__field)
% 224.94/34.37 $i(tc_RealDef_Oreal) & class_Fields_Olinordered__field(tc_RealDef_Oreal)
% 224.94/34.37
% 224.94/34.37 (arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero)
% 224.94/34.37 $i(tc_RealDef_Oreal) &
% 224.94/34.37 class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal)
% 224.94/34.37
% 224.94/34.37 (arity_RealDef__Oreal__Groups_Ogroup__add)
% 224.94/34.37 $i(tc_RealDef_Oreal) & class_Groups_Ogroup__add(tc_RealDef_Oreal)
% 224.94/34.37
% 224.94/34.37 (arity_RealDef__Oreal__Groups_Oordered__ab__group__add)
% 224.94/34.37 $i(tc_RealDef_Oreal) & class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal)
% 224.94/34.37
% 224.94/34.37 (arity_RealDef__Oreal__Power_Opower)
% 224.94/34.37 $i(tc_RealDef_Oreal) & class_Power_Opower(tc_RealDef_Oreal)
% 224.94/34.37
% 224.94/34.37 (arity_RealDef__Oreal__Rings_Odivision__ring)
% 224.94/34.37 $i(tc_RealDef_Oreal) & class_Rings_Odivision__ring(tc_RealDef_Oreal)
% 224.94/34.37
% 224.94/34.37 (arity_RealDef__Oreal__Rings_Odivision__ring__inverse__zero)
% 224.94/34.37 $i(tc_RealDef_Oreal) &
% 224.94/34.37 class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal)
% 224.94/34.37
% 224.94/34.37 (arity_RealDef__Oreal__Rings_Olinordered__ring__strict)
% 224.94/34.37 $i(tc_RealDef_Oreal) & class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal)
% 224.94/34.37
% 224.94/34.37 (arity_RealDef__Oreal__Rings_Olinordered__semidom)
% 224.94/34.37 $i(tc_RealDef_Oreal) & class_Rings_Olinordered__semidom(tc_RealDef_Oreal)
% 224.94/34.37
% 224.94/34.37 (arity_RealDef__Oreal__Rings_Olinordered__semiring__strict)
% 224.94/34.37 $i(tc_RealDef_Oreal) &
% 224.94/34.37 class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal)
% 224.94/34.37
% 224.94/34.37 (arity_RealDef__Oreal__Rings_Omult__zero)
% 224.94/34.37 $i(tc_RealDef_Oreal) & class_Rings_Omult__zero(tc_RealDef_Oreal)
% 224.94/34.37
% 224.94/34.37 (arity_RealDef__Oreal__Rings_Ono__zero__divisors)
% 224.94/34.37 $i(tc_RealDef_Oreal) & class_Rings_Ono__zero__divisors(tc_RealDef_Oreal)
% 224.94/34.37
% 224.94/34.37 (arity_RealDef__Oreal__Rings_Oordered__cancel__semiring)
% 224.94/34.37 $i(tc_RealDef_Oreal) &
% 224.94/34.37 class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal)
% 224.94/34.37
% 224.94/34.37 (arity_RealDef__Oreal__Rings_Oordered__ring)
% 224.94/34.37 $i(tc_RealDef_Oreal) & class_Rings_Oordered__ring(tc_RealDef_Oreal)
% 224.94/34.37
% 224.94/34.37 (arity_RealDef__Oreal__Rings_Oring__1__no__zero__divisors)
% 224.94/34.37 $i(tc_RealDef_Oreal) &
% 224.94/34.37 class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal)
% 224.94/34.37
% 224.94/34.37 (arity_RealDef__Oreal__Rings_Oring__no__zero__divisors)
% 224.94/34.37 $i(tc_RealDef_Oreal) & class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal)
% 224.94/34.37
% 224.94/34.37 (arity_RealDef__Oreal__Rings_Ozero__neq__one)
% 224.94/34.37 $i(tc_RealDef_Oreal) & class_Rings_Ozero__neq__one(tc_RealDef_Oreal)
% 224.94/34.37
% 224.94/34.37 (conj_0)
% 225.10/34.40 $i(v_k____) & $i(tc_Nat_Onat) & $i(v_w____) & $i(tc_Complex_Ocomplex) &
% 225.10/34.40 $i(v_m____) & $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 225.10/34.40 ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 225.10/34.40 $i] : ? [v9: $i] : ? [v10: $i] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,
% 225.10/34.40 v_k____, v5) = v6 & c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v9)
% 225.10/34.40 = v10 & c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 225.10/34.40 c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v2 &
% 225.10/34.40 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v5 &
% 225.10/34.40 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v3 &
% 225.10/34.40 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & hAPP(v8, v_m____) = v9
% 225.10/34.40 & hAPP(v4, v6) = v7 & hAPP(v2, v3) = v4 & hAPP(v1, v7) = v8 & $i(v10) &
% 225.10/34.40 $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 225.10/34.40 $i(v1) & $i(v0) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 225.10/34.40 v10))
% 225.10/34.40
% 225.10/34.40 (fact_Bseq__inverse__lemma)
% 225.10/34.40 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 225.10/34.40 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 225.10/34.40 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 225.10/34.40 (c_Rings_Oinverse__class_Oinverse(v3, v1) = v4) | ~
% 225.10/34.40 (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v2) = v6) | ~
% 225.10/34.40 (c_RealVector_Onorm__class_Onorm(v3, v4) = v5) | ~ $i(v3) | ~ $i(v2) |
% 225.10/34.40 ~ $i(v1) | ~ class_RealVector_Oreal__normed__div__algebra(v3) | ~
% 225.10/34.40 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) |
% 225.10/34.40 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v6) | ? [v7: $i]
% 225.10/34.40 : (c_RealVector_Onorm__class_Onorm(v3, v1) = v7 & $i(v7) & ~
% 225.10/34.40 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v7))))
% 225.10/34.40
% 225.10/34.40 (fact_INVERSE__ZERO)
% 225.10/34.40 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 225.10/34.40 (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v0) = v0 &
% 225.10/34.40 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0))
% 225.10/34.40
% 225.10/34.40 (fact_One__nat__def)
% 225.10/34.40 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : (c_Nat_OSuc(v1) = v0 &
% 225.10/34.40 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 &
% 225.10/34.40 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 & $i(v1) & $i(v0))
% 225.10/34.40
% 225.10/34.40 (fact_Suc__eq__plus1)
% 225.10/34.40 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 &
% 225.10/34.40 $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~
% 225.10/34.40 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ~ $i(v1) |
% 225.10/34.40 (c_Nat_OSuc(v1) = v2 & $i(v2))))
% 225.10/34.40
% 225.10/34.40 (fact_Suc__eq__plus1__left)
% 225.10/34.40 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 &
% 225.10/34.40 $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~
% 225.10/34.40 (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v2) | ~ $i(v1) |
% 225.10/34.40 (c_Nat_OSuc(v1) = v2 & $i(v2))))
% 225.10/34.40
% 225.10/34.40 (fact__0960_A_060_061_Acmod_Aw_096)
% 225.10/34.40 $i(v_w____) & $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 225.10/34.40 ? [v1: $i] : (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 225.10/34.40 v1 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) &
% 225.10/34.40 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1))
% 225.10/34.41
% 225.10/34.41 (fact__0961_A_L_Aw_A_094_Ak_A_K_Aa_A_N_A1_A_061_A0_A_N_A1_096)
% 225.10/34.41 $i(v_a____) & $i(v_k____) & $i(v_w____) & $i(tc_Complex_Ocomplex) & ? [v0:
% 225.10/34.41 $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 225.10/34.41 ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 225.10/34.41 (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v9, v0) = v8 &
% 225.10/34.41 c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v7, v0) = v8 &
% 225.10/34.41 c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v0, v6) = v7 &
% 225.10/34.41 c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v1 &
% 225.10/34.41 c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v2 &
% 225.10/34.41 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 &
% 225.10/34.41 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v9 & hAPP(v5, v_a____) =
% 225.10/34.41 v6 & hAPP(v3, v_k____) = v4 & hAPP(v2, v_w____) = v3 & hAPP(v1, v4) = v5 &
% 225.10/34.41 $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 225.10/34.41 $i(v1) & $i(v0))
% 225.10/34.41
% 225.10/34.41 (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)
% 225.10/34.42 $i(v_q____) & $i(tc_Nat_Onat) & $i(tc_Complex_Ocomplex) & ? [v0: $i] : ?
% 225.10/34.42 [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i]
% 225.10/34.42 : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ?
% 225.10/34.42 [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : ? [v16: $i] : ?
% 225.10/34.42 [v17: $i] : ? [v18: $i] : ( ~ (v13 = v0) & ~ (v12 = v1) &
% 225.10/34.42 c_Polynomial_OpCons(tc_Complex_Ocomplex, v13, v14) = v17 &
% 225.10/34.42 c_Polynomial_Osmult(tc_Complex_Ocomplex, v5, v_q____) = v6 &
% 225.10/34.42 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v14)
% 225.10/34.42 = v15 &
% 225.10/34.42 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v6) =
% 225.10/34.42 v7 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v17) = v18 &
% 225.10/34.42 c_Polynomial_Opoly(tc_Complex_Ocomplex, v6) = v8 &
% 225.10/34.42 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v3 &
% 225.10/34.42 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v16, v2) = v7 &
% 225.10/34.42 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v15, v12) = v16 &
% 225.10/34.42 c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, v4) = v5 &
% 225.10/34.42 c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v10 &
% 225.10/34.42 c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v11 &
% 225.10/34.42 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v2 &
% 225.10/34.42 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 &
% 225.10/34.42 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0 & hAPP(v8, v0) = v9 &
% 225.10/34.42 hAPP(v3, v0) = v4 & $i(v18) & $i(v17) & $i(v16) & $i(v15) & $i(v14) &
% 225.10/34.42 $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 225.10/34.42 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v19: $i] : !
% 225.10/34.42 [v20: $i] : ( ~ (hAPP(v8, v19) = v20) | ~ $i(v19) | ? [v21: $i] : ? [v22:
% 225.10/34.42 $i] : ? [v23: $i] : ? [v24: $i] : ? [v25: $i] :
% 225.10/34.42 (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v9, v25) = v20 &
% 225.10/34.42 hAPP(v23, v24) = v25 & hAPP(v21, v12) = v22 & hAPP(v18, v19) = v24 &
% 225.10/34.42 hAPP(v11, v19) = v21 & hAPP(v10, v22) = v23 & $i(v25) & $i(v24) &
% 225.10/34.42 $i(v23) & $i(v22) & $i(v21) & $i(v20))))
% 225.10/34.42
% 225.10/34.42 (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)
% 225.10/34.42 $i(v_s____) & $i(v_w____) & $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) &
% 225.10/34.42 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 225.10/34.42 (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = v2 &
% 225.10/34.42 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v1 &
% 225.10/34.42 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v3) & $i(v2) &
% 225.10/34.42 $i(v1) & $i(v0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) &
% 225.10/34.42 ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v2, v4) = v5) | ~ $i(v4) | ? [v6: $i]
% 225.10/34.42 : ? [v7: $i] : ((c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5)
% 225.10/34.42 = v7 & $i(v7) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 225.10/34.42 v7, v3)) | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4)
% 225.10/34.42 = v6 & $i(v6) & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 225.10/34.42 v6, v1)))))
% 225.10/34.42
% 225.10/34.42 (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)
% 225.10/34.42 $i(v_c____) & $i(v_pa____) & $i(tc_Complex_Ocomplex) & ? [v0: $i] : ? [v1:
% 225.10/34.42 $i] : ? [v2: $i] : ? [v3: $i] :
% 225.10/34.42 (c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v2) =
% 225.10/34.42 v0 & c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 225.10/34.42 v_pa____) = v0 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v2) = v3 &
% 225.10/34.42 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____) = v1 & $i(v3) & $i(v2) &
% 225.10/34.42 $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ( ~
% 225.10/34.42 (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_c____, v4) = v5) | ~
% 225.10/34.42 $i(v4) | ? [v6: $i] : (hAPP(v3, v4) = v6 & hAPP(v1, v5) = v6 & $i(v6))))
% 225.10/34.42
% 225.10/34.42 (fact__096EX_Az_O_Apoly_A_IpCons_A1_A_Imonom_Aa_A_Ik_A_N_A1_J_J_J_Az_A_061_A0_096)
% 225.10/34.42 $i(v_a____) & $i(v_k____) & $i(tc_Nat_Onat) & $i(tc_Complex_Ocomplex) & ?
% 225.10/34.42 [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i]
% 225.10/34.42 : ? [v6: $i] : ? [v7: $i] : (c_Polynomial_Omonom(tc_Complex_Ocomplex,
% 225.10/34.42 v_a____, v2) = v3 & c_Polynomial_OpCons(tc_Complex_Ocomplex, v0, v3) = v4
% 225.10/34.42 & c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v_k____, v1) = v2 &
% 225.10/34.42 c_Polynomial_Opoly(tc_Complex_Ocomplex, v4) = v5 &
% 225.10/34.42 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 &
% 225.10/34.42 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 &
% 225.10/34.42 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v6 & hAPP(v5, v7) = v6 &
% 225.10/34.42 $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 225.10/34.42
% 225.10/34.42 (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)
% 225.10/34.43 $i(v_s____) & $i(v_w____) & $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) &
% 225.10/34.43 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 225.10/34.43 (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = v2 &
% 225.10/34.43 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v1 &
% 225.10/34.43 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v3) & $i(v2) &
% 225.10/34.43 $i(v1) & $i(v0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) &
% 225.10/34.43 ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v2, v4) = v5) | ~ $i(v4) | ? [v6: $i]
% 225.10/34.43 : ? [v7: $i] : ((c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5)
% 225.10/34.43 = v7 & $i(v7) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 225.10/34.43 v7, v3)) | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4)
% 225.10/34.43 = v6 & $i(v6) & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 225.10/34.43 v6, v1)))))
% 225.10/34.43
% 225.10/34.43 (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)
% 225.10/34.43 $i(v_c____) & $i(v_pa____) & $i(tc_Complex_Ocomplex) & ? [v0: $i] : ? [v1:
% 225.10/34.43 $i] : ? [v2: $i] : ? [v3: $i] :
% 225.10/34.43 (c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v2) =
% 225.10/34.43 v0 & c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 225.10/34.43 v_pa____) = v0 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v2) = v3 &
% 225.10/34.43 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____) = v1 & $i(v3) & $i(v2) &
% 225.10/34.43 $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ( ~
% 225.10/34.43 (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_c____, v4) = v5) | ~
% 225.10/34.43 $i(v4) | ? [v6: $i] : (hAPP(v3, v4) = v6 & hAPP(v1, v5) = v6 & $i(v6))))
% 225.10/34.43
% 225.10/34.43 (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)
% 225.10/34.43 $i(v_a____) & $i(v_k____) & $i(tc_Complex_Ocomplex) & ? [v0: $i] : ? [v1:
% 225.10/34.43 $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 225.10/34.43 ? [v7: $i] : ? [v8: $i] : (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,
% 225.10/34.43 v0, v8) = v3 & c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v1 &
% 225.10/34.43 c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v2 &
% 225.10/34.43 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 &
% 225.10/34.43 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v3 & hAPP(v7, v_a____) =
% 225.10/34.43 v8 & hAPP(v5, v_k____) = v6 & hAPP(v2, v4) = v5 & hAPP(v1, v6) = v7 & $i(v8)
% 225.10/34.43 & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 225.10/34.43
% 225.10/34.43 (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)
% 225.10/34.43 $i(v_q____) & $i(tc_Complex_Ocomplex) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 225.10/34.43 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 225.10/34.43 ? [v8: $i] : ? [v9: $i] : ( ~ (v9 = v8) &
% 225.10/34.43 c_Polynomial_Osmult(tc_Complex_Ocomplex, v3, v_q____) = v4 &
% 225.10/34.43 c_Polynomial_Opoly(tc_Complex_Ocomplex, v4) = v5 &
% 225.10/34.43 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v0 &
% 225.10/34.43 c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, v2) = v3 &
% 225.10/34.43 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 & hAPP(v5, v7) = v9 &
% 225.10/34.43 hAPP(v5, v6) = v8 & hAPP(v0, v1) = v2 & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 225.10/34.43 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 225.10/34.43
% 225.10/34.43 (fact__096constant_A_Ipoly_Aq_J_A_061_061_062_AFalse_096)
% 225.10/34.44 $i(v_q____) & $i(tc_Complex_Ocomplex) & ? [v0: $i] :
% 225.10/34.44 (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v0 & $i(v0) & ~
% 225.10/34.44 c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,
% 225.10/34.44 tc_Complex_Ocomplex, v0))
% 225.10/34.44
% 225.10/34.44 (fact__096poly_Ap_Ac_A_061_A0_A_061_061_062_AEX_Az_O_Apoly_Ap_Az_A_061_A0_096)
% 225.10/34.44 $i(v_c____) & $i(v_pa____) & $i(tc_Complex_Ocomplex) & ? [v0: $i] : ? [v1:
% 225.10/34.44 $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 225.10/34.44 (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____) = v0 &
% 225.10/34.44 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 & $i(v3) & $i(v2) &
% 225.10/34.44 $i(v0) & ((v4 = v2 & hAPP(v0, v3) = v2) | ( ~ (v2 = v1) & hAPP(v0, v_c____)
% 225.10/34.44 = v1 & $i(v1))))
% 225.10/34.44
% 225.10/34.44 (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)
% 225.10/34.44 $i(v_q____) & $i(tc_Complex_Ocomplex) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 225.10/34.44 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 225.10/34.44 ? [v8: $i] : (c_Polynomial_Osmult(tc_Complex_Ocomplex, v4, v_q____) = v5 &
% 225.10/34.44 c_Polynomial_Opoly(tc_Complex_Ocomplex, v5) = v6 &
% 225.10/34.44 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v0 &
% 225.10/34.44 c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, v2) = v4 &
% 225.10/34.44 c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v3 &
% 225.10/34.44 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 & hAPP(v8, v2) = v2 &
% 225.10/34.44 hAPP(v6, v1) = v7 & hAPP(v3, v7) = v8 & hAPP(v0, v1) = v2 & $i(v8) & $i(v7)
% 225.10/34.44 & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 225.10/34.44
% 225.10/34.44 (fact_a00)
% 225.10/34.44 $i(v_q____) & $i(tc_Complex_Ocomplex) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 225.10/34.44 $i] : ( ~ (v2 = v1) & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v0
% 225.10/34.44 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 & hAPP(v0, v1) = v2
% 225.10/34.44 & $i(v2) & $i(v1) & $i(v0))
% 225.10/34.44
% 225.10/34.44 (fact_c)
% 225.10/34.44 $i(v_c____) & $i(v_pa____) & $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) &
% 225.10/34.44 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 225.10/34.44 (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____) = v0 &
% 225.10/34.44 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v2 & hAPP(v0,
% 225.10/34.44 v_c____) = v1 & $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : ( ~
% 225.10/34.44 (hAPP(v0, v3) = v4) | ~ $i(v3) | ? [v5: $i] :
% 225.10/34.44 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5 & $i(v5) &
% 225.10/34.44 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v5))))
% 225.10/34.44
% 225.10/34.44 (fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J)
% 225.10/34.45 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 &
% 225.10/34.45 $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 225.10/34.45 (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v3, v1) = v4) | ~
% 225.10/34.45 $i(v2) | ~ $i(v1) | ~ class_Rings_Ocomm__semiring__1(v2) | hAPP(v4, v0)
% 225.10/34.45 = v1))
% 225.10/34.45
% 225.10/34.45 (fact_complex__i__mult__minus)
% 225.10/34.45 $i(c_Complex_Oii) & $i(tc_Complex_Ocomplex) & ? [v0: $i] : ? [v1: $i] :
% 225.10/34.45 (c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v0 & hAPP(v0,
% 225.10/34.45 c_Complex_Oii) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~
% 225.10/34.45 (hAPP(v1, v2) = v3) | ~ $i(v2) | ? [v4: $i] :
% 225.10/34.45 (c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v2) = v4 & hAPP(v1,
% 225.10/34.45 v3) = v4 & $i(v4))))
% 225.10/34.45
% 225.10/34.45 (fact_complex__i__not__one)
% 225.10/34.45 $i(c_Complex_Oii) & $i(tc_Complex_Ocomplex) & ? [v0: $i] : ( ~ (v0 =
% 225.10/34.45 c_Complex_Oii) & c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 &
% 225.10/34.45 $i(v0))
% 225.10/34.45
% 225.10/34.45 (fact_complex__i__not__zero)
% 225.10/34.45 $i(c_Complex_Oii) & $i(tc_Complex_Ocomplex) & ? [v0: $i] : ( ~ (v0 =
% 225.10/34.45 c_Complex_Oii) & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0 &
% 225.10/34.45 $i(v0))
% 225.10/34.45
% 225.10/34.45 (fact_cq0)
% 225.10/34.45 $i(v_q____) & $i(v_pa____) & $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) &
% 225.10/34.45 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 225.10/34.45 (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v0 &
% 225.10/34.45 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____) = v4 &
% 225.10/34.45 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3 &
% 225.10/34.45 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 & hAPP(v0, v1) = v2 &
% 225.10/34.45 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : ! [v6: $i] : ( ~
% 225.10/34.45 (hAPP(v4, v5) = v6) | ~ $i(v5) | ? [v7: $i] :
% 225.10/34.45 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v6) = v7 & $i(v7) &
% 225.10/34.45 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v7))))
% 225.10/34.45
% 225.10/34.45 (fact_diff__Suc__1)
% 225.10/34.45 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 &
% 225.10/34.45 $i(v0) & ! [v1: $i] : ! [v2: $i] : ( ~ (c_Nat_OSuc(v1) = v2) | ~ $i(v1) |
% 225.10/34.45 c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v0) = v1))
% 225.10/34.45
% 225.10/34.45 (fact_diff__Suc__eq__diff__pred)
% 225.10/34.45 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 &
% 225.10/34.45 $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 225.10/34.45 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v1) = v4) | ~
% 225.10/34.45 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v0) = v3) | ~ $i(v2) | ~
% 225.10/34.45 $i(v1) | ? [v5: $i] : (c_Nat_OSuc(v1) = v5 &
% 225.10/34.45 c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v5) = v4 & $i(v5) &
% 225.10/34.45 $i(v4))))
% 225.10/34.45
% 225.10/34.45 (fact_divisors__zero)
% 225.10/34.46 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 225.10/34.46 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5)
% 225.10/34.46 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 225.10/34.46 class_Rings_Ono__zero__divisors(v2) | ? [v6: $i] :
% 225.10/34.46 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~ (v6 = v5) | v5 = v1 |
% 225.10/34.46 v5 = v0)))
% 225.10/34.46
% 225.10/34.46 (fact_dvd__mult__cancel1)
% 225.10/34.46 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 225.10/34.46 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v1 &
% 225.10/34.46 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v2 &
% 225.10/34.46 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v2) & $i(v1) & $i(v0) &
% 225.10/34.46 ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v3 = v2 | ~
% 225.10/34.46 (hAPP(v5, v3) = v6) | ~ (hAPP(v1, v4) = v5) | ~ $i(v4) | ~ $i(v3) | ~
% 225.10/34.46 c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v6, v4) | ~
% 225.10/34.46 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v4)) & ! [v3: $i] : !
% 225.10/34.46 [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v1, v3) = v4) |
% 225.10/34.46 ~ $i(v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) |
% 225.10/34.46 c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v5, v3)))
% 225.10/34.46
% 225.10/34.46 (fact_dvd__mult__cancel2)
% 225.10/34.46 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 225.10/34.46 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v1 &
% 225.10/34.46 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v2 &
% 225.10/34.46 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v2) & $i(v1) & $i(v0) &
% 225.10/34.46 ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v3 = v2 | ~
% 225.10/34.46 (hAPP(v5, v4) = v6) | ~ (hAPP(v1, v3) = v5) | ~ $i(v4) | ~ $i(v3) | ~
% 225.10/34.46 c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v6, v4) | ~
% 225.10/34.46 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v4)) & ! [v3: $i] : !
% 225.10/34.46 [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v4, v3) = v5) | ~ (hAPP(v1, v2) = v4) |
% 225.10/34.46 ~ $i(v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) |
% 225.10/34.46 c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v5, v3)))
% 225.10/34.46
% 225.10/34.46 (fact_field__power__not__zero)
% 225.10/34.46 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 225.10/34.46 $i] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v0) = v5) |
% 225.10/34.46 ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 225.10/34.46 class_Rings_Oring__1__no__zero__divisors(v2) | ? [v6: $i] :
% 225.10/34.46 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~ (v6 = v5) | v5 = v1)))
% 225.10/34.46
% 225.10/34.46 (fact_i__mult__eq2)
% 225.10/34.46 $i(c_Complex_Oii) & $i(tc_Complex_Ocomplex) & ? [v0: $i] : ? [v1: $i] : ?
% 225.10/34.46 [v2: $i] : ? [v3: $i] : (c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,
% 225.10/34.46 v3) = v2 & c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v0 &
% 225.10/34.46 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v3 & hAPP(v1,
% 225.10/34.46 c_Complex_Oii) = v2 & hAPP(v0, c_Complex_Oii) = v1 & $i(v3) & $i(v2) &
% 225.10/34.46 $i(v1) & $i(v0))
% 225.10/34.46
% 225.10/34.46 (fact_inverse__i)
% 225.10/34.46 $i(c_Complex_Oii) & $i(tc_Complex_Ocomplex) & ? [v0: $i] :
% 225.10/34.46 (c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, c_Complex_Oii) = v0 &
% 225.10/34.46 c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, c_Complex_Oii) = v0 &
% 225.10/34.46 $i(v0))
% 225.10/34.46
% 225.10/34.46 (fact_inverse__negative__iff__negative)
% 225.10/34.46 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 225.10/34.46 (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 225.10/34.46 class_Fields_Olinordered__field__inverse__zero(v1) | ? [v3: $i] :
% 225.10/34.46 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~
% 225.10/34.46 c_Orderings_Oord__class_Oless(v1, v2, v3) |
% 225.10/34.46 c_Orderings_Oord__class_Oless(v1, v0, v3)) & ( ~
% 225.10/34.46 c_Orderings_Oord__class_Oless(v1, v0, v3) |
% 225.10/34.46 c_Orderings_Oord__class_Oless(v1, v2, v3))))
% 225.10/34.46
% 225.10/34.46 (fact_inverse__negative__imp__negative)
% 225.10/34.46 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 225.10/34.46 (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 225.10/34.46 class_Fields_Olinordered__field(v1) | ? [v3: $i] :
% 225.10/34.46 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & (v3 = v0 | ~
% 225.10/34.46 c_Orderings_Oord__class_Oless(v1, v2, v3) |
% 225.10/34.46 c_Orderings_Oord__class_Oless(v1, v0, v3))))
% 225.10/34.46
% 225.10/34.47 (fact_inverse__nonnegative__iff__nonnegative)
% 225.10/34.47 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 225.10/34.47 (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 225.10/34.47 class_Fields_Olinordered__field__inverse__zero(v1) | ? [v3: $i] :
% 225.10/34.47 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~
% 225.10/34.47 c_Orderings_Oord__class_Oless__eq(v1, v3, v2) |
% 225.10/34.47 c_Orderings_Oord__class_Oless__eq(v1, v3, v0)) & ( ~
% 225.10/34.47 c_Orderings_Oord__class_Oless__eq(v1, v3, v0) |
% 225.10/34.47 c_Orderings_Oord__class_Oless__eq(v1, v3, v2))))
% 225.10/34.47
% 225.10/34.47 (fact_inverse__nonpositive__iff__nonpositive)
% 225.10/34.47 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 225.10/34.47 (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 225.10/34.47 class_Fields_Olinordered__field__inverse__zero(v1) | ? [v3: $i] :
% 225.10/34.47 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~
% 225.10/34.47 c_Orderings_Oord__class_Oless__eq(v1, v2, v3) |
% 225.10/34.47 c_Orderings_Oord__class_Oless__eq(v1, v0, v3)) & ( ~
% 225.10/34.47 c_Orderings_Oord__class_Oless__eq(v1, v0, v3) |
% 225.10/34.47 c_Orderings_Oord__class_Oless__eq(v1, v2, v3))))
% 225.10/34.47
% 225.10/34.47 (fact_inverse__nonzero__iff__nonzero)
% 225.10/34.47 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 225.10/34.47 (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 225.10/34.47 class_Rings_Odivision__ring__inverse__zero(v1) | ? [v3: $i] :
% 225.10/34.47 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~ (v3 = v2) | v2 = v0) &
% 225.10/34.47 ( ~ (v3 = v0) | v2 = v0)))
% 225.10/34.47
% 225.10/34.47 (fact_inverse__positive__iff__positive)
% 225.10/34.47 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 225.10/34.47 (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 225.10/34.47 class_Fields_Olinordered__field__inverse__zero(v1) | ? [v3: $i] :
% 225.10/34.47 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~
% 225.10/34.47 c_Orderings_Oord__class_Oless(v1, v3, v2) |
% 225.10/34.47 c_Orderings_Oord__class_Oless(v1, v3, v0)) & ( ~
% 225.10/34.47 c_Orderings_Oord__class_Oless(v1, v3, v0) |
% 225.10/34.47 c_Orderings_Oord__class_Oless(v1, v3, v2))))
% 225.10/34.47
% 225.10/34.47 (fact_inverse__zero__imp__zero)
% 225.10/34.47 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 225.10/34.47 (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 225.10/34.47 class_Rings_Odivision__ring(v1) | ? [v3: $i] :
% 225.10/34.47 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~ (v3 = v2) | v2 = v0)))
% 225.10/34.47
% 225.10/34.47 (fact_k1n)
% 225.10/34.47 $i(v_pa____) & $i(v_k____) & $i(tc_Nat_Onat) & $i(tc_Complex_Ocomplex) & ?
% 225.10/34.47 [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 225.10/34.47 (c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 225.10/34.47 v_pa____) = v2 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, v0) =
% 225.10/34.47 v1 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v2) & $i(v1) & $i(v0)
% 225.10/34.47 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2))
% 225.10/34.47
% 225.10/34.47 (fact_kas_I1_J)
% 225.10/34.47 $i(v_a____) & $i(tc_Complex_Ocomplex) & ? [v0: $i] : ( ~ (v0 = v_a____) &
% 225.10/34.47 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0 & $i(v0))
% 225.10/34.47
% 225.10/34.47 (fact_kas_I3_J)
% 225.10/34.47 $i(v_q____) & $i(v_s____) & $i(v_k____) & $i(tc_Nat_Onat) &
% 225.10/34.47 $i(tc_Complex_Ocomplex) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3:
% 225.10/34.47 $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 225.10/34.47 (c_Polynomial_Osmult(tc_Complex_Ocomplex, v7, v_q____) = v8 &
% 225.10/34.47 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v8) =
% 225.10/34.47 v3 & c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 225.10/34.47 v_s____) = v0 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v4 &
% 225.10/34.47 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v2) = v3 &
% 225.10/34.47 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v_k____) = v1 &
% 225.10/34.47 c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, v6) = v7 &
% 225.10/34.47 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v2 &
% 225.10/34.47 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v5 & hAPP(v4, v5) = v6 &
% 225.10/34.47 $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 225.10/34.47 $i(v0))
% 225.10/34.47
% 225.10/34.47 (fact_kas_I4_J)
% 225.10/34.48 $i(v_q____) & $i(v_s____) & $i(v_a____) & $i(v_k____) &
% 225.10/34.48 $i(tc_Complex_Ocomplex) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3:
% 225.10/34.48 $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 225.10/34.48 ? [v9: $i] : ? [v10: $i] : (c_Polynomial_OpCons(tc_Complex_Ocomplex, v_a____,
% 225.10/34.48 v_s____) = v9 & c_Polynomial_Osmult(tc_Complex_Ocomplex, v3, v_q____) = v4
% 225.10/34.48 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v9) = v10 &
% 225.10/34.48 c_Polynomial_Opoly(tc_Complex_Ocomplex, v4) = v5 &
% 225.10/34.48 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v0 &
% 225.10/34.48 c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, v2) = v3 &
% 225.10/34.48 c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v7 &
% 225.10/34.48 c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v8 &
% 225.10/34.48 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 & hAPP(v5, v1) = v6 &
% 225.10/34.48 hAPP(v0, v1) = v2 & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) &
% 225.10/34.48 $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v11: $i] : ! [v12: $i] :
% 225.10/34.48 ! [v13: $i] : ! [v14: $i] : ! [v15: $i] : ! [v16: $i] : ( ~ (hAPP(v14,
% 225.10/34.48 v15) = v16) | ~ (hAPP(v12, v_k____) = v13) | ~ (hAPP(v10, v11) =
% 225.10/34.48 v15) | ~ (hAPP(v8, v11) = v12) | ~ (hAPP(v7, v13) = v14) | ~ $i(v11)
% 225.10/34.48 | ? [v17: $i] : (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v6,
% 225.10/34.48 v16) = v17 & hAPP(v5, v11) = v17 & $i(v17))))
% 225.10/34.48
% 225.10/34.48 (fact_kn)
% 225.10/34.48 $i(v_pa____) & $i(v_k____) & $i(tc_Nat_Onat) & $i(tc_Complex_Ocomplex) & ?
% 225.10/34.48 [v0: $i] : ? [v1: $i] : ? [v2: $i] : ( ~ (v2 = v0) &
% 225.10/34.48 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 225.10/34.48 v_pa____) = v0 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, v1) =
% 225.10/34.48 v2 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v2) & $i(v1) & $i(v0))
% 225.10/34.48
% 225.10/34.48 (fact_lemmaCauchy)
% 225.10/34.48 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 225.10/34.48 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : !
% 225.10/34.48 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 225.10/34.48 (c_RealVector_Onorm__class_Onorm(v4, v5) = v6) | ~ (hAPP(v1, v2) = v5) |
% 225.10/34.48 ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ class_Orderings_Oord(v3)
% 225.10/34.48 | ~ class_RealVector_Oreal__normed__vector(v4) | ? [v7: $i] : ? [v8:
% 225.10/34.48 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ($i(v8) &
% 225.10/34.48 ((c_Groups_Ominus__class_Ominus(v4, v5, v9) = v10 &
% 225.10/34.48 c_RealVector_Onorm__class_Onorm(v4, v10) = v11 & hAPP(v1, v8) = v9 &
% 225.10/34.48 $i(v11) & $i(v10) & $i(v9) & c_Orderings_Oord__class_Oless__eq(v3,
% 225.10/34.48 v2, v8) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11,
% 225.10/34.48 v0)) | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v0, v6) = v7
% 225.10/34.48 & $i(v7) & ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ( ~
% 225.10/34.48 (c_RealVector_Onorm__class_Onorm(v4, v13) = v14) | ~ (hAPP(v1,
% 225.10/34.48 v12) = v13) | ~ $i(v12) | ~
% 225.10/34.48 c_Orderings_Oord__class_Oless__eq(v3, v2, v12) |
% 225.10/34.48 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v14, v7)))))))
% 225.10/34.48
% 225.10/34.48 (fact_less_Ohyps)
% 225.10/34.48 $i(v_pa____) & $i(tc_Nat_Onat) & $i(tc_Complex_Ocomplex) & ? [v0: $i] : ?
% 225.10/34.48 [v1: $i] :
% 225.10/34.48 (c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 225.10/34.48 v_pa____) = v0 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 &
% 225.10/34.48 $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~
% 225.10/34.48 (c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 225.10/34.48 v2) = v3) | ~ $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat,
% 225.10/34.48 v3, v0) | ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 225.10/34.48 (c_Polynomial_Opoly(tc_Complex_Ocomplex, v2) = v4 & $i(v5) & $i(v4) &
% 225.10/34.48 (c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,
% 225.10/34.48 tc_Complex_Ocomplex, v4) | (v6 = v1 & hAPP(v4, v5) = v1)))))
% 225.10/34.48
% 225.10/34.48 (fact_less_Oprems)
% 225.10/34.48 $i(v_pa____) & $i(tc_Complex_Ocomplex) & ? [v0: $i] :
% 225.10/34.48 (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____) = v0 & $i(v0) & ~
% 225.10/34.48 c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,
% 225.10/34.48 tc_Complex_Ocomplex, v0))
% 225.10/34.48
% 225.10/34.48 (fact_lgqr)
% 225.10/34.49 $i(v_q____) & $i(tc_Complex_Ocomplex) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 225.10/34.49 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 225.10/34.49 (c_Polynomial_Osmult(tc_Complex_Ocomplex, v4, v_q____) = v5 &
% 225.10/34.49 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v5) =
% 225.10/34.49 v0 & c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 225.10/34.49 v_q____) = v0 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v1 &
% 225.10/34.49 c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, v3) = v4 &
% 225.10/34.49 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 & hAPP(v1, v2) = v3 &
% 225.10/34.49 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 225.10/34.49
% 225.10/34.49 (fact_m_I1_J)
% 225.10/34.49 $i(v_m____) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 225.10/34.49 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) &
% 225.10/34.49 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v_m____))
% 225.10/34.49
% 225.10/34.49 (fact_m_I2_J)
% 225.10/34.49 $i(v_s____) & $i(v_w____) & $i(tc_Complex_Ocomplex) & $i(v_m____) &
% 225.10/34.49 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 225.10/34.49 (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = v1 &
% 225.10/34.49 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v0 & $i(v1)
% 225.10/34.49 & $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~ (hAPP(v1, v2) = v3) | ~ $i(v2) |
% 225.10/34.49 ? [v4: $i] : ? [v5: $i] :
% 225.10/34.49 ((c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v5 & $i(v5) &
% 225.10/34.49 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v_m____)) |
% 225.10/34.49 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v4 & $i(v4)
% 225.10/34.49 & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v0)))))
% 225.10/34.49
% 225.10/34.49 (fact_mrmq__eq)
% 225.10/34.49 $i(v_q____) & $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 225.10/34.49 ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6:
% 225.10/34.49 $i] : ? [v7: $i] : (c_Polynomial_Osmult(tc_Complex_Ocomplex, v3, v_q____) =
% 225.10/34.49 v4 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v4) = v5 &
% 225.10/34.49 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v0 &
% 225.10/34.49 c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, v2) = v3 &
% 225.10/34.49 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v6 &
% 225.10/34.49 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v7 &
% 225.10/34.49 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 & hAPP(v0, v1) = v2 &
% 225.10/34.49 $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & !
% 225.10/34.49 [v8: $i] : ! [v9: $i] : ( ~ (hAPP(v5, v8) = v9) | ~ $i(v8) | ? [v10: $i]
% 225.10/34.49 : ? [v11: $i] : ? [v12: $i] :
% 225.10/34.49 ((c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v11) = v12 &
% 225.10/34.49 hAPP(v0, v8) = v11 & $i(v12) & $i(v11) &
% 225.10/34.49 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12, v7)) |
% 225.10/34.49 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v9) = v10 &
% 225.10/34.49 $i(v10) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10,
% 225.10/34.49 v6)))) & ! [v8: $i] : ! [v9: $i] : ( ~ (hAPP(v5, v8) = v9) | ~
% 225.10/34.49 $i(v8) | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] :
% 225.10/34.49 ((c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v10) = v11 &
% 225.10/34.49 hAPP(v0, v8) = v10 & $i(v11) & $i(v10) & ~
% 225.10/34.49 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11, v7)) |
% 225.10/34.49 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v9) = v12 &
% 225.10/34.49 $i(v12) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12, v6)))))
% 225.10/34.49
% 225.10/34.49 (fact_mult_Opos__bounded)
% 225.10/34.49 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 225.10/34.49 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 225.10/34.49 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 225.10/34.49 [v2: $i] : ! [v3: $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~
% 225.10/34.49 $i(v2) | ~ class_RealVector_Oreal__normed__algebra(v2) | ? [v4: $i] :
% 225.10/34.49 ($i(v4) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) & !
% 225.10/34.49 [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : !
% 225.10/34.49 [v10: $i] : ! [v11: $i] : ! [v12: $i] : ( ~
% 225.10/34.49 (c_RealVector_Onorm__class_Onorm(v2, v6) = v9) | ~
% 225.10/34.49 (c_RealVector_Onorm__class_Onorm(v2, v5) = v7) | ~ (hAPP(v11, v4) =
% 225.10/34.49 v12) | ~ (hAPP(v8, v9) = v10) | ~ (hAPP(v1, v10) = v11) | ~
% 225.10/34.49 (hAPP(v1, v7) = v8) | ~ $i(v6) | ~ $i(v5) | ? [v13: $i] : ? [v14:
% 225.10/34.49 $i] : ? [v15: $i] : (c_RealVector_Onorm__class_Onorm(v2, v14) = v15
% 225.10/34.49 & hAPP(v13, v6) = v14 & hAPP(v3, v5) = v13 & $i(v15) & $i(v14) &
% 225.10/34.49 $i(v13) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v15,
% 225.10/34.49 v12))))))
% 225.10/34.49
% 225.10/34.49 (fact_mult__eq__0__iff)
% 225.10/34.50 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 225.10/34.50 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5)
% 225.10/34.50 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 225.10/34.50 class_Rings_Oring__no__zero__divisors(v2) | ? [v6: $i] :
% 225.10/34.50 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~ (v6 = v5) | v5 = v1 |
% 225.10/34.50 v5 = v0) & (v6 = v5 | ( ~ (v6 = v1) & ~ (v6 = v0)))))
% 225.10/34.50
% 225.10/34.50 (fact_mult__eq__if)
% 225.10/34.50 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 225.10/34.50 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v1 &
% 225.10/34.50 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v2 &
% 225.10/34.50 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v2) & $i(v1) & $i(v0) &
% 225.10/34.50 ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8:
% 225.10/34.50 $i] : (v4 = v0 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v4, v2) =
% 225.10/34.50 v5) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v7) = v8) | ~
% 225.10/34.50 (hAPP(v6, v3) = v7) | ~ (hAPP(v1, v5) = v6) | ~ $i(v4) | ~ $i(v3) | ?
% 225.10/34.50 [v9: $i] : (hAPP(v9, v3) = v8 & hAPP(v1, v4) = v9 & $i(v9) & $i(v8))) & !
% 225.10/34.50 [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v5 = v0 | ~ (hAPP(v4, v3) = v5) |
% 225.10/34.50 ~ (hAPP(v1, v0) = v4) | ~ $i(v3)))
% 225.10/34.50
% 225.10/34.50 (fact_mult__eq__self__implies__10)
% 225.10/34.50 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 225.10/34.50 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 225.10/34.50 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 &
% 225.10/34.50 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v2 & $i(v2) & $i(v1) & $i(v0) &
% 225.10/34.50 ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v4 = v2 | v3 = v1 | ~ (hAPP(v5,
% 225.10/34.50 v3) = v4) | ~ (hAPP(v0, v4) = v5) | ~ $i(v4) | ~ $i(v3)))
% 225.10/34.50
% 225.10/34.50 (fact_mult__le__0__iff)
% 225.10/34.50 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 225.10/34.50 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5)
% 225.10/34.50 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 225.10/34.50 class_Rings_Olinordered__ring__strict(v2) | ? [v6: $i] :
% 225.10/34.50 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~
% 225.10/34.50 c_Orderings_Oord__class_Oless__eq(v2, v5, v6) |
% 225.10/34.50 (c_Orderings_Oord__class_Oless__eq(v2, v6, v1) &
% 225.10/34.50 c_Orderings_Oord__class_Oless__eq(v2, v0, v6)) |
% 225.10/34.50 (c_Orderings_Oord__class_Oless__eq(v2, v6, v0) &
% 225.10/34.50 c_Orderings_Oord__class_Oless__eq(v2, v1, v6))) &
% 225.10/34.50 (c_Orderings_Oord__class_Oless__eq(v2, v5, v6) | (( ~
% 225.10/34.50 c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | ~
% 225.10/34.50 c_Orderings_Oord__class_Oless__eq(v2, v0, v6)) & ( ~
% 225.10/34.50 c_Orderings_Oord__class_Oless__eq(v2, v6, v0) | ~
% 225.10/34.50 c_Orderings_Oord__class_Oless__eq(v2, v1, v6))))))
% 225.10/34.50
% 225.10/34.50 (fact_mult__left_Opos__bounded)
% 225.10/34.50 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 225.10/34.50 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 225.10/34.50 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & ?
% 225.10/34.50 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 225.10/34.50 (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~
% 225.10/34.50 class_RealVector_Oreal__normed__algebra(v3) | ? [v5: $i] : ($i(v5) &
% 225.10/34.50 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v5) & ! [v6: $i] :
% 225.10/34.50 ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~
% 225.10/34.50 (c_RealVector_Onorm__class_Onorm(v3, v6) = v7) | ~ (hAPP(v8, v5) =
% 225.10/34.50 v9) | ~ (hAPP(v1, v7) = v8) | ~ $i(v6) | ? [v10: $i] : ? [v11:
% 225.10/34.50 $i] : ? [v12: $i] : (c_RealVector_Onorm__class_Onorm(v3, v11) = v12
% 225.10/34.50 & hAPP(v10, v2) = v11 & hAPP(v4, v6) = v10 & $i(v12) & $i(v11) &
% 225.10/34.50 $i(v10) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v12,
% 225.10/34.50 v9))))))
% 225.10/34.50
% 225.10/34.50 (fact_mult__neg__neg)
% 225.10/34.51 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 225.10/34.51 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5)
% 225.10/34.51 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 225.10/34.51 class_Rings_Olinordered__ring__strict(v2) | ? [v6: $i] :
% 225.10/34.51 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~
% 225.10/34.51 c_Orderings_Oord__class_Oless(v2, v1, v6) | ~
% 225.10/34.51 c_Orderings_Oord__class_Oless(v2, v0, v6) |
% 225.10/34.51 c_Orderings_Oord__class_Oless(v2, v6, v5))))
% 225.10/34.51
% 225.10/34.51 (fact_mult__nonneg__nonneg)
% 225.10/34.51 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 225.10/34.51 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5)
% 225.10/34.51 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 225.10/34.51 class_Rings_Oordered__cancel__semiring(v2) | ? [v6: $i] :
% 225.10/34.51 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~
% 225.10/34.51 c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | ~
% 225.10/34.51 c_Orderings_Oord__class_Oless__eq(v2, v6, v0) |
% 225.10/34.51 c_Orderings_Oord__class_Oless__eq(v2, v6, v5))))
% 225.10/34.51
% 225.10/34.51 (fact_mult__nonneg__nonpos)
% 225.10/34.51 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 225.10/34.51 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5)
% 225.10/34.51 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 225.10/34.51 class_Rings_Oordered__cancel__semiring(v2) | ? [v6: $i] :
% 225.10/34.51 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~
% 225.10/34.51 c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | ~
% 225.10/34.51 c_Orderings_Oord__class_Oless__eq(v2, v0, v6) |
% 225.10/34.51 c_Orderings_Oord__class_Oless__eq(v2, v5, v6))))
% 225.10/34.51
% 225.10/34.51 (fact_mult__nonneg__nonpos2)
% 225.10/34.51 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 225.10/34.51 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v1) = v5)
% 225.10/34.51 | ~ (hAPP(v3, v0) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 225.10/34.51 class_Rings_Oordered__cancel__semiring(v2) | ? [v6: $i] :
% 225.10/34.51 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~
% 225.10/34.51 c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | ~
% 225.10/34.51 c_Orderings_Oord__class_Oless__eq(v2, v0, v6) |
% 225.10/34.51 c_Orderings_Oord__class_Oless__eq(v2, v5, v6))))
% 225.10/34.51
% 225.10/34.51 (fact_mult__nonpos__nonpos)
% 225.10/34.51 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 225.10/34.51 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5)
% 225.10/34.51 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 225.10/34.51 class_Rings_Oordered__ring(v2) | ? [v6: $i] :
% 225.10/34.51 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~
% 225.10/34.51 c_Orderings_Oord__class_Oless__eq(v2, v1, v6) | ~
% 225.10/34.51 c_Orderings_Oord__class_Oless__eq(v2, v0, v6) |
% 225.10/34.51 c_Orderings_Oord__class_Oless__eq(v2, v6, v5))))
% 225.10/34.51
% 225.10/34.51 (fact_mult__pos__neg)
% 225.10/34.51 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 225.10/34.51 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5)
% 225.10/34.51 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 225.10/34.51 class_Rings_Olinordered__semiring__strict(v2) | ? [v6: $i] :
% 225.10/34.51 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~
% 225.10/34.51 c_Orderings_Oord__class_Oless(v2, v6, v1) | ~
% 225.10/34.51 c_Orderings_Oord__class_Oless(v2, v0, v6) |
% 225.10/34.51 c_Orderings_Oord__class_Oless(v2, v5, v6))))
% 225.10/34.51
% 225.10/34.51 (fact_mult__pos__neg2)
% 225.10/34.51 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 225.10/34.51 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v1) = v5)
% 225.10/34.51 | ~ (hAPP(v3, v0) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 225.10/34.51 class_Rings_Olinordered__semiring__strict(v2) | ? [v6: $i] :
% 225.10/34.51 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~
% 225.10/34.51 c_Orderings_Oord__class_Oless(v2, v6, v1) | ~
% 225.10/34.51 c_Orderings_Oord__class_Oless(v2, v0, v6) |
% 225.10/34.51 c_Orderings_Oord__class_Oless(v2, v5, v6))))
% 225.10/34.51
% 225.10/34.51 (fact_mult__pos__pos)
% 225.10/34.51 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 225.10/34.51 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5)
% 225.10/34.51 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 225.10/34.51 class_Rings_Olinordered__semiring__strict(v2) | ? [v6: $i] :
% 225.10/34.52 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~
% 225.10/34.52 c_Orderings_Oord__class_Oless(v2, v6, v1) | ~
% 225.10/34.52 c_Orderings_Oord__class_Oless(v2, v6, v0) |
% 225.10/34.52 c_Orderings_Oord__class_Oless(v2, v6, v5))))
% 225.10/34.52
% 225.10/34.52 (fact_mult__right_Opos__bounded)
% 225.10/34.52 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 225.10/34.52 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 225.10/34.52 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 225.10/34.52 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 225.10/34.52 (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v4, v2) = v5) | ~
% 225.10/34.52 $i(v3) | ~ $i(v2) | ~ class_RealVector_Oreal__normed__algebra(v3) | ?
% 225.10/34.52 [v6: $i] : ($i(v6) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 225.10/34.52 v6) & ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ( ~
% 225.10/34.52 (c_RealVector_Onorm__class_Onorm(v3, v7) = v8) | ~ (hAPP(v9, v6) =
% 225.10/34.52 v10) | ~ (hAPP(v1, v8) = v9) | ~ $i(v7) | ? [v11: $i] : ? [v12:
% 225.10/34.52 $i] : (c_RealVector_Onorm__class_Onorm(v3, v11) = v12 & hAPP(v5, v7)
% 225.10/34.52 = v11 & $i(v12) & $i(v11) &
% 225.10/34.52 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v12, v10))))))
% 225.10/34.52
% 225.10/34.52 (fact_nat__1__eq__mult__iff)
% 225.10/34.52 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 225.10/34.52 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v1 &
% 225.10/34.52 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v1) & $i(v0) & ! [v2: $i]
% 225.10/34.52 : ! [v3: $i] : ! [v4: $i] : (v3 = v0 | ~ (hAPP(v4, v2) = v0) | ~
% 225.10/34.52 (hAPP(v1, v3) = v4) | ~ $i(v3) | ~ $i(v2)) & ! [v2: $i] : ! [v3: $i] :
% 225.10/34.52 ! [v4: $i] : (v2 = v0 | ~ (hAPP(v4, v2) = v0) | ~ (hAPP(v1, v3) = v4) |
% 225.10/34.52 ~ $i(v3) | ~ $i(v2)) & ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 225.10/34.52 (hAPP(v2, v0) = v3) | ~ (hAPP(v1, v0) = v2)))
% 225.10/34.52
% 225.10/34.52 (fact_nat__dvd__1__iff__1)
% 225.10/34.52 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 &
% 225.10/34.52 $i(v0) & c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v0, v0) & ! [v1: $i] : (v1 =
% 225.10/34.52 v0 | ~ $i(v1) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0)))
% 225.10/34.52
% 225.10/34.52 (fact_nat__mult__1)
% 225.10/34.52 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 225.10/34.52 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 225.10/34.52 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & hAPP(v0, v1) = v2 & $i(v2) &
% 225.10/34.52 $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : (v4 = v3 | ~ (hAPP(v2, v3) =
% 225.10/34.52 v4) | ~ $i(v3)))
% 225.10/34.52
% 225.10/34.52 (fact_nat__mult__1__right)
% 225.10/34.52 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 225.10/34.52 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 225.10/34.52 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v1) & $i(v0) & ! [v2: $i]
% 225.10/34.52 : ! [v3: $i] : ( ~ (hAPP(v0, v2) = v3) | ~ $i(v2) | hAPP(v3, v1) = v2))
% 225.10/34.52
% 225.10/34.52 (fact_nat__mult__eq__1__iff)
% 225.10/34.53 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 225.10/34.53 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 225.10/34.53 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v1) & $i(v0) & ! [v2: $i]
% 225.10/34.53 : ! [v3: $i] : ! [v4: $i] : (v3 = v1 | ~ (hAPP(v4, v2) = v1) | ~
% 225.10/34.53 (hAPP(v0, v3) = v4) | ~ $i(v3) | ~ $i(v2)) & ! [v2: $i] : ! [v3: $i] :
% 225.10/34.53 ! [v4: $i] : (v2 = v1 | ~ (hAPP(v4, v2) = v1) | ~ (hAPP(v0, v3) = v4) |
% 225.10/34.53 ~ $i(v3) | ~ $i(v2)) & ! [v2: $i] : ! [v3: $i] : (v3 = v1 | ~
% 225.10/34.53 (hAPP(v2, v1) = v3) | ~ (hAPP(v0, v1) = v2)))
% 225.10/34.53
% 225.10/34.53 (fact_neg__0__equal__iff__equal)
% 225.10/34.53 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 225.10/34.53 (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 225.10/34.53 class_Groups_Ogroup__add(v1) | ? [v3: $i] :
% 225.10/34.53 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~ (v3 = v2) | v2 = v0) &
% 225.10/34.53 ( ~ (v3 = v0) | v2 = v0)))
% 225.10/34.53
% 225.10/34.53 (fact_neg__0__le__iff__le)
% 225.10/34.53 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 225.10/34.53 (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 225.10/34.53 class_Groups_Oordered__ab__group__add(v1) | ? [v3: $i] :
% 225.10/34.53 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~
% 225.10/34.53 c_Orderings_Oord__class_Oless__eq(v1, v3, v2) |
% 225.10/34.53 c_Orderings_Oord__class_Oless__eq(v1, v0, v3)) & ( ~
% 225.10/34.53 c_Orderings_Oord__class_Oless__eq(v1, v0, v3) |
% 225.10/34.53 c_Orderings_Oord__class_Oless__eq(v1, v3, v2))))
% 225.10/34.53
% 225.10/34.53 (fact_neg__0__less__iff__less)
% 225.10/34.53 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 225.10/34.53 (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 225.10/34.53 class_Groups_Oordered__ab__group__add(v1) | ? [v3: $i] :
% 225.10/34.53 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~
% 225.10/34.53 c_Orderings_Oord__class_Oless(v1, v3, v2) |
% 225.10/34.53 c_Orderings_Oord__class_Oless(v1, v0, v3)) & ( ~
% 225.10/34.53 c_Orderings_Oord__class_Oless(v1, v0, v3) |
% 225.10/34.53 c_Orderings_Oord__class_Oless(v1, v3, v2))))
% 225.10/34.53
% 225.10/34.53 (fact_neg__equal__0__iff__equal)
% 225.10/34.53 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 225.10/34.53 (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 225.10/34.53 class_Groups_Ogroup__add(v1) | ? [v3: $i] :
% 225.10/34.53 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~ (v3 = v2) | v2 = v0) &
% 225.10/34.53 ( ~ (v3 = v0) | v2 = v0)))
% 225.10/34.53
% 225.10/34.53 (fact_neg__le__0__iff__le)
% 225.10/34.53 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 225.10/34.53 (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 225.10/34.53 class_Groups_Oordered__ab__group__add(v1) | ? [v3: $i] :
% 225.10/34.53 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~
% 225.10/34.53 c_Orderings_Oord__class_Oless__eq(v1, v3, v0) |
% 225.10/34.53 c_Orderings_Oord__class_Oless__eq(v1, v2, v3)) & ( ~
% 225.10/34.53 c_Orderings_Oord__class_Oless__eq(v1, v2, v3) |
% 225.10/34.53 c_Orderings_Oord__class_Oless__eq(v1, v3, v0))))
% 225.10/34.53
% 225.10/34.53 (fact_neg__less__0__iff__less)
% 225.10/34.53 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 225.10/34.53 (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 225.10/34.53 class_Groups_Oordered__ab__group__add(v1) | ? [v3: $i] :
% 225.10/34.53 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~
% 225.10/34.53 c_Orderings_Oord__class_Oless(v1, v3, v0) |
% 225.10/34.53 c_Orderings_Oord__class_Oless(v1, v2, v3)) & ( ~
% 225.10/34.53 c_Orderings_Oord__class_Oless(v1, v2, v3) |
% 225.10/34.53 c_Orderings_Oord__class_Oless(v1, v3, v0))))
% 225.10/34.53
% 225.10/34.53 (fact_negative__imp__inverse__negative)
% 225.10/34.53 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 225.10/34.53 (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 225.10/34.53 class_Fields_Olinordered__field(v1) | ? [v3: $i] :
% 225.10/34.53 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~
% 225.10/34.53 c_Orderings_Oord__class_Oless(v1, v0, v3) |
% 225.10/34.53 c_Orderings_Oord__class_Oless(v1, v2, v3))))
% 225.10/34.53
% 225.10/34.53 (fact_no__zero__divisors)
% 225.10/34.53 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 225.10/34.53 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5)
% 225.10/34.53 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 225.10/34.53 class_Rings_Ono__zero__divisors(v2) | ? [v6: $i] :
% 225.10/34.53 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~ (v6 = v5) | v5 = v1 |
% 225.10/34.53 v5 = v0)))
% 225.10/34.53
% 225.10/34.53 (fact_nonzero__imp__inverse__nonzero)
% 225.10/34.53 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 225.10/34.53 (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 225.10/34.53 class_Rings_Odivision__ring(v1) | ? [v3: $i] :
% 225.10/34.53 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~ (v3 = v2) | v2 = v0)))
% 225.10/34.53
% 225.10/34.53 (fact_norm__eq__zero)
% 225.10/34.54 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 225.10/34.54 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 225.10/34.54 ! [v2: $i] : ! [v3: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v2, v1) =
% 225.10/34.54 v3) | ~ $i(v2) | ~ $i(v1) | ~
% 225.10/34.54 class_RealVector_Oreal__normed__vector(v2) | ? [v4: $i] : (( ~ (v3 = v0)
% 225.10/34.54 | (v4 = v1 & c_Groups_Ozero__class_Ozero(v2) = v1)) & (v3 = v0 | ( ~
% 225.10/34.54 (v4 = v1) & c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4))))))
% 225.10/34.54
% 225.10/34.54 (fact_norm__ge__zero)
% 225.10/34.54 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 225.10/34.54 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 225.10/34.54 ! [v2: $i] : ! [v3: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v2, v1) =
% 225.10/34.54 v3) | ~ $i(v2) | ~ $i(v1) | ~
% 225.10/34.54 class_RealVector_Oreal__normed__vector(v2) |
% 225.10/34.54 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3)))
% 225.10/34.54
% 225.10/34.54 (fact_norm__le__zero__iff)
% 225.10/34.54 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 225.10/34.54 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 225.10/34.54 ! [v2: $i] : ! [v3: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v2, v1) =
% 225.10/34.54 v3) | ~ $i(v2) | ~ $i(v1) | ~
% 225.10/34.54 class_RealVector_Oreal__normed__vector(v2) | ? [v4: $i] : (( ~
% 225.10/34.54 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0) | (v4 = v1
% 225.10/34.54 & c_Groups_Ozero__class_Ozero(v2) = v1)) &
% 225.10/34.54 (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0) | ( ~ (v4 =
% 225.10/34.54 v1) & c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4))))))
% 225.10/34.54
% 225.10/34.54 (fact_norm__mult)
% 225.10/34.54 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 225.10/34.54 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 225.10/34.54 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 225.10/34.54 [v7: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v3, v2) = v4) | ~
% 225.10/34.54 (c_RealVector_Onorm__class_Onorm(v3, v1) = v6) | ~ (hAPP(v5, v6) = v7) |
% 225.10/34.54 ~ (hAPP(v0, v4) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 225.10/34.54 class_RealVector_Oreal__normed__div__algebra(v3) | ? [v8: $i] : ? [v9:
% 225.10/34.54 $i] : ? [v10: $i] : (c_Groups_Otimes__class_Otimes(v3) = v8 &
% 225.10/34.54 c_RealVector_Onorm__class_Onorm(v3, v10) = v7 & hAPP(v9, v1) = v10 &
% 225.10/34.54 hAPP(v8, v2) = v9 & $i(v10) & $i(v9) & $i(v8) & $i(v7))))
% 225.10/34.54
% 225.10/34.54 (fact_norm__mult__ineq)
% 225.10/34.54 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 225.10/34.54 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 225.10/34.54 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 225.10/34.54 [v7: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v3, v2) = v4) | ~
% 225.10/34.54 (c_RealVector_Onorm__class_Onorm(v3, v1) = v6) | ~ (hAPP(v5, v6) = v7) |
% 225.10/34.54 ~ (hAPP(v0, v4) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 225.10/34.54 class_RealVector_Oreal__normed__algebra(v3) | ? [v8: $i] : ? [v9: $i] :
% 225.10/34.54 ? [v10: $i] : ? [v11: $i] : (c_Groups_Otimes__class_Otimes(v3) = v8 &
% 225.10/34.54 c_RealVector_Onorm__class_Onorm(v3, v10) = v11 & hAPP(v9, v1) = v10 &
% 225.10/34.54 hAPP(v8, v2) = v9 & $i(v11) & $i(v10) & $i(v9) & $i(v8) &
% 225.10/34.54 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v11, v7))))
% 225.10/34.54
% 225.10/34.54 (fact_norm__mult__less)
% 225.10/34.54 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 225.10/34.54 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 225.10/34.54 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 225.10/34.54 [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~
% 225.10/34.54 (c_Groups_Otimes__class_Otimes(v5) = v6) | ~
% 225.10/34.54 (c_RealVector_Onorm__class_Onorm(v5, v8) = v9) | ~ (hAPP(v10, v1) = v11)
% 225.10/34.54 | ~ (hAPP(v7, v2) = v8) | ~ (hAPP(v6, v4) = v7) | ~ (hAPP(v0, v3) =
% 225.10/34.54 v10) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 225.10/34.54 class_RealVector_Oreal__normed__algebra(v5) |
% 225.10/34.54 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9, v11) | ? [v12: $i] :
% 225.10/34.54 ? [v13: $i] : ((c_RealVector_Onorm__class_Onorm(v5, v4) = v12 & $i(v12) &
% 225.10/34.54 ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12, v3)) |
% 225.10/34.54 (c_RealVector_Onorm__class_Onorm(v5, v2) = v13 & $i(v13) & ~
% 225.10/34.54 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v13, v1)))))
% 225.10/34.54
% 225.10/34.54 (fact_norm__not__less__zero)
% 225.10/34.54 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 225.10/34.54 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 225.10/34.54 ! [v2: $i] : ! [v3: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v2, v1) =
% 225.10/34.54 v3) | ~ $i(v2) | ~ $i(v1) | ~
% 225.10/34.54 class_RealVector_Oreal__normed__vector(v2) | ~
% 225.10/34.54 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0)))
% 225.10/34.54
% 225.10/34.54 (fact_norm__one)
% 225.10/34.54 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 225.10/34.54 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] : !
% 225.10/34.54 [v2: $i] : ! [v3: $i] : (v3 = v0 | ~ (c_Groups_Oone__class_Oone(v1) = v2)
% 225.10/34.54 | ~ (c_RealVector_Onorm__class_Onorm(v1, v2) = v3) | ~ $i(v1) | ~
% 225.10/34.54 class_RealVector_Oreal__normed__algebra__1(v1)))
% 225.10/34.54
% 225.10/34.54 (fact_norm__power)
% 225.10/34.55 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 225.10/34.55 (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 225.10/34.55 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 225.10/34.55 (c_RealVector_Onorm__class_Onorm(v3, v2) = v4) | ~ (hAPP(v5, v1) = v6) |
% 225.10/34.55 ~ (hAPP(v0, v4) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 225.10/34.55 class_RealVector_Oreal__normed__div__algebra(v3) | ? [v7: $i] : ? [v8:
% 225.10/34.55 $i] : ? [v9: $i] : (c_Power_Opower__class_Opower(v3) = v7 &
% 225.10/34.55 c_RealVector_Onorm__class_Onorm(v3, v9) = v6 & hAPP(v8, v1) = v9 &
% 225.10/34.55 hAPP(v7, v2) = v8 & $i(v9) & $i(v8) & $i(v7) & $i(v6))))
% 225.10/34.55
% 225.10/34.55 (fact_norm__power__ineq)
% 225.10/34.55 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 225.10/34.55 (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 225.10/34.55 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 225.10/34.55 (c_RealVector_Onorm__class_Onorm(v3, v2) = v4) | ~ (hAPP(v5, v1) = v6) |
% 225.10/34.55 ~ (hAPP(v0, v4) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 225.10/34.55 class_RealVector_Oreal__normed__algebra__1(v3) | ? [v7: $i] : ? [v8: $i]
% 225.10/34.55 : ? [v9: $i] : ? [v10: $i] : (c_Power_Opower__class_Opower(v3) = v7 &
% 225.10/34.55 c_RealVector_Onorm__class_Onorm(v3, v9) = v10 & hAPP(v8, v1) = v9 &
% 225.10/34.55 hAPP(v7, v2) = v8 & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 225.10/34.55 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, v6))))
% 225.10/34.55
% 225.10/34.55 (fact_norm__ratiotest__lemma)
% 225.10/34.55 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 225.10/34.55 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 225.10/34.55 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 225.10/34.55 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 225.10/34.55 $i] : ! [v8: $i] : ! [v9: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v5,
% 225.10/34.55 v3) = v6) | ~ (c_RealVector_Onorm__class_Onorm(v5, v2) = v8) | ~
% 225.10/34.55 (hAPP(v7, v8) = v9) | ~ (hAPP(v1, v4) = v7) | ~ $i(v5) | ~ $i(v4) | ~
% 225.10/34.55 $i(v3) | ~ $i(v2) | ~ class_RealVector_Oreal__normed__vector(v5) | ~
% 225.10/34.55 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v9) | ~
% 225.10/34.55 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v0) |
% 225.10/34.55 c_Groups_Ozero__class_Ozero(v5) = v3))
% 225.10/34.55
% 225.10/34.55 (fact_norm__sgn)
% 225.10/34.55 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 225.10/34.55 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 225.10/34.55 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 225.10/34.55 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 225.10/34.55 (c_Groups_Osgn__class_Osgn(v3, v2) = v4) | ~
% 225.10/34.55 (c_RealVector_Onorm__class_Onorm(v3, v4) = v5) | ~ $i(v3) | ~ $i(v2) |
% 225.10/34.55 ~ class_RealVector_Oreal__normed__vector(v3) | ? [v6: $i] : ((v5 = v1 |
% 225.10/34.55 (v6 = v2 & c_Groups_Ozero__class_Ozero(v3) = v2)) & (v5 = v0 | ( ~ (v6
% 225.10/34.55 = v2) & c_Groups_Ozero__class_Ozero(v3) = v6 & $i(v6))))))
% 225.10/34.55
% 225.10/34.55 (fact_norm__zero)
% 225.10/34.55 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 225.10/34.55 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 225.10/34.55 ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 225.10/34.55 (c_RealVector_Onorm__class_Onorm(v1, v2) = v3) | ~
% 225.10/34.55 (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ $i(v1) | ~
% 225.10/34.55 class_RealVector_Oreal__normed__vector(v1)))
% 225.10/34.55
% 225.10/34.55 (fact_not__one__le__zero)
% 225.10/34.55 ! [v0: $i] : ! [v1: $i] : ( ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~
% 225.10/34.55 $i(v0) | ~ class_Rings_Olinordered__semidom(v0) | ? [v2: $i] :
% 225.10/34.55 (c_Groups_Ozero__class_Ozero(v0) = v2 & $i(v2) & ~
% 225.10/34.55 c_Orderings_Oord__class_Oless__eq(v0, v1, v2)))
% 225.10/34.55
% 225.10/34.55 (fact_not__one__less__zero)
% 225.10/34.55 ! [v0: $i] : ! [v1: $i] : ( ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~
% 225.10/34.55 $i(v0) | ~ class_Rings_Olinordered__semidom(v0) | ? [v2: $i] :
% 225.10/34.55 (c_Groups_Ozero__class_Ozero(v0) = v2 & $i(v2) & ~
% 225.10/34.55 c_Orderings_Oord__class_Oless(v0, v1, v2)))
% 225.10/34.55
% 225.10/34.55 (fact_not__real__square__gt__zero)
% 225.10/34.55 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 225.10/34.55 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 225.10/34.55 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 225.10/34.55 [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v2 = v0 | ~ (hAPP(v3, v2) = v4) |
% 225.10/34.55 ~ (hAPP(v1, v2) = v3) | ~ $i(v2) |
% 225.10/34.55 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4)) & ! [v2: $i] :
% 225.10/34.55 ! [v3: $i] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(v1, v0) = v2) | ~
% 225.10/34.55 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3)))
% 225.10/34.55
% 225.10/34.55 (fact_one__neq__zero)
% 225.10/34.55 ! [v0: $i] : ! [v1: $i] : ( ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~
% 225.10/34.55 $i(v0) | ~ class_Rings_Ozero__neq__one(v0) | ? [v2: $i] : ( ~ (v2 = v1) &
% 225.10/34.55 c_Groups_Ozero__class_Ozero(v0) = v2 & $i(v2)))
% 225.10/34.55
% 225.10/34.55 (fact_pc0)
% 225.10/34.55 $i(v_c____) & $i(v_pa____) & $i(tc_Complex_Ocomplex) & ? [v0: $i] : ? [v1:
% 225.10/34.55 $i] : ? [v2: $i] : ( ~ (v2 = v1) & c_Polynomial_Opoly(tc_Complex_Ocomplex,
% 225.10/34.55 v_pa____) = v0 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 &
% 225.10/34.55 hAPP(v0, v_c____) = v1 & $i(v2) & $i(v1) & $i(v0))
% 225.10/34.55
% 225.10/34.55 (fact_poly__cont)
% 225.10/34.55 $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 225.10/34.55 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 225.10/34.55 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 225.10/34.55 (c_Polynomial_Opoly(tc_Complex_Ocomplex, v1) = v4) | ~ (hAPP(v4, v2) =
% 225.10/34.55 v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 225.10/34.55 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) | ? [v6: $i] :
% 225.10/34.55 ($i(v6) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v6) & !
% 225.10/34.55 [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~
% 225.10/34.55 (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v8, v5) = v9) | ~
% 225.10/34.55 (hAPP(v4, v7) = v8) | ~ $i(v7) | ? [v10: $i] : ? [v11: $i] : ?
% 225.10/34.55 [v12: $i] : ((c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v7,
% 225.10/34.55 v2) = v10 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 225.10/34.55 v10) = v11 & $i(v11) & $i(v10) & ( ~
% 225.10/34.55 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11, v6) | ~
% 225.10/34.55 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v11))) |
% 225.10/34.55 (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v9) = v12 &
% 225.10/34.55 $i(v12) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12,
% 225.10/34.55 v3)))))))
% 225.10/34.55
% 225.10/34.55 (fact_positive__imp__inverse__positive)
% 225.10/34.56 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 225.10/34.56 (c_Rings_Oinverse__class_Oinverse(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 225.10/34.56 class_Fields_Olinordered__field(v1) | ? [v3: $i] :
% 225.10/34.56 (c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3) & ( ~
% 225.10/34.56 c_Orderings_Oord__class_Oless(v1, v3, v0) |
% 225.10/34.56 c_Orderings_Oord__class_Oless(v1, v3, v2))))
% 225.10/34.56
% 225.10/34.56 (fact_power__dvd__imp__le)
% 225.10/34.56 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 225.10/34.56 (c_Power_Opower__class_Opower(tc_Nat_Onat) = v0 &
% 225.10/34.56 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v1) & $i(v0) & ! [v2: $i]
% 225.10/34.56 : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 225.10/34.56 (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v7) | ~ (hAPP(v0, v4) = v5) | ~
% 225.10/34.56 $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat,
% 225.10/34.56 v6, v7) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v4) |
% 225.10/34.56 c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v2)))
% 225.10/34.56
% 225.10/34.56 (fact_power__eq__0__iff)
% 225.10/34.56 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0
% 225.10/34.56 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 225.10/34.56 $i] : ! [v6: $i] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~
% 225.10/34.56 (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ $i(v3) | ~ $i(v2) | ~
% 225.10/34.56 $i(v1) | ~ class_Rings_Ozero__neq__one(v3) | ~
% 225.10/34.56 class_Rings_Omult__zero(v3) | ~ class_Rings_Ono__zero__divisors(v3) | ~
% 225.10/34.56 class_Power_Opower(v3) | ? [v7: $i] : (c_Groups_Ozero__class_Ozero(v3) =
% 225.10/34.56 v7 & $i(v7) & ( ~ (v7 = v6) | (v6 = v2 & ~ (v1 = v0))) & ( ~ (v7 = v2)
% 225.10/34.56 | v6 = v2 | v1 = v0))))
% 225.10/34.56
% 225.10/34.56 (fact_power__eq__if)
% 225.10/34.56 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 225.10/34.56 (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v3 &
% 225.10/34.56 c_Power_Opower__class_Opower(tc_Nat_Onat) = v1 &
% 225.10/34.56 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v2 &
% 225.10/34.56 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v3) & $i(v2) & $i(v1) &
% 225.10/34.56 $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i]
% 225.10/34.56 : ! [v9: $i] : ! [v10: $i] : (v5 = v0 | ~
% 225.10/34.56 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v5, v2) = v8) | ~ (hAPP(v7,
% 225.10/34.56 v9) = v10) | ~ (hAPP(v6, v8) = v9) | ~ (hAPP(v3, v4) = v7) | ~
% 225.10/34.56 (hAPP(v1, v4) = v6) | ~ $i(v5) | ~ $i(v4) | (hAPP(v6, v5) = v10 &
% 225.10/34.56 $i(v10))) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v6 = v2 | ~
% 225.10/34.56 (hAPP(v5, v0) = v6) | ~ (hAPP(v1, v4) = v5) | ~ $i(v4)))
% 225.10/34.56
% 225.10/34.56 (fact_power__one__right)
% 225.10/34.56 $i(tc_Nat_Onat) & ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 &
% 225.10/34.56 $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 225.10/34.56 (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v3, v1) = v4) | ~
% 225.10/34.56 $i(v2) | ~ $i(v1) | ~ class_Groups_Omonoid__mult(v2) | hAPP(v4, v0) =
% 225.10/34.56 v1))
% 225.10/34.56
% 225.10/34.56 (fact_pqc0)
% 225.10/34.56 $i(v_q____) & $i(v_c____) & $i(v_pa____) & $i(tc_Complex_Ocomplex) & ? [v0:
% 225.10/34.56 $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 225.10/34.56 (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v2 &
% 225.10/34.56 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____) = v0 &
% 225.10/34.56 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v3 & hAPP(v2, v3) = v1 &
% 225.10/34.56 hAPP(v0, v_c____) = v1 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 225.10/34.56
% 225.10/34.56 (fact_q_I2_J)
% 225.10/34.56 $i(v_q____) & $i(v_c____) & $i(v_pa____) & $i(tc_Complex_Ocomplex) & ? [v0:
% 225.10/34.56 $i] : ? [v1: $i] : (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v0 &
% 225.10/34.56 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____) = v1 & $i(v1) & $i(v0) &
% 225.10/34.56 ! [v2: $i] : ! [v3: $i] : ( ~ (hAPP(v0, v2) = v3) | ~ $i(v2) | ? [v4: $i]
% 225.10/34.56 : (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_c____, v2) = v4 &
% 225.10/34.56 hAPP(v1, v4) = v3 & $i(v4) & $i(v3))))
% 225.10/34.56
% 225.10/34.56 (fact_qnc)
% 225.10/34.56 $i(v_q____) & $i(tc_Complex_Ocomplex) & ? [v0: $i] :
% 225.10/34.56 (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v0 & $i(v0) & ~
% 225.10/34.56 c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,
% 225.10/34.56 tc_Complex_Ocomplex, v0))
% 225.10/34.56
% 225.10/34.56 (fact_qr)
% 225.10/34.56 $i(v_q____) & $i(tc_Complex_Ocomplex) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 225.10/34.56 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 225.10/34.56 (c_Polynomial_Osmult(tc_Complex_Ocomplex, v4, v_q____) = v5 &
% 225.10/34.56 c_Polynomial_Opoly(tc_Complex_Ocomplex, v5) = v6 &
% 225.10/34.56 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v0 &
% 225.10/34.56 c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, v3) = v4 &
% 225.10/34.56 c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v1 &
% 225.10/34.56 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 & hAPP(v0, v2) = v3 &
% 225.10/34.56 $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v7: $i] :
% 225.10/34.56 ! [v8: $i] : ( ~ (hAPP(v6, v7) = v8) | ~ $i(v7) | ? [v9: $i] : ? [v10:
% 225.10/34.56 $i] : (hAPP(v10, v3) = v9 & hAPP(v1, v8) = v10 & hAPP(v0, v7) = v9 &
% 225.10/34.56 $i(v10) & $i(v9))))
% 225.10/34.56
% 225.10/34.56 (fact_r01)
% 225.10/34.56 $i(v_q____) & $i(tc_Complex_Ocomplex) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 225.10/34.56 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 225.10/34.56 (c_Polynomial_Osmult(tc_Complex_Ocomplex, v3, v_q____) = v4 &
% 225.10/34.56 c_Polynomial_Opoly(tc_Complex_Ocomplex, v4) = v5 &
% 225.10/34.56 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v0 &
% 225.10/34.56 c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, v2) = v3 &
% 225.10/34.56 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v6 &
% 225.10/34.56 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 & hAPP(v5, v1) = v6 &
% 225.10/34.56 hAPP(v0, v1) = v2 & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 225.10/34.56 $i(v0))
% 225.10/34.56
% 225.10/34.56 (fact_real__0__le__add__iff)
% 225.10/34.57 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 225.10/34.57 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 225.10/34.57 ! [v2: $i] : ! [v3: $i] : ( ~
% 225.10/34.57 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~ $i(v2) |
% 225.10/34.57 ~ $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3)
% 225.10/34.57 | ? [v4: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) =
% 225.10/34.57 v4 & $i(v4) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4,
% 225.10/34.57 v1))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 225.10/34.57 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~ $i(v2) |
% 225.10/34.57 ~ $i(v1) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) |
% 225.10/34.57 ? [v4: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v4 &
% 225.10/34.57 $i(v4) & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4,
% 225.10/34.57 v1))))
% 225.10/34.57
% 225.10/34.57 (fact_real__0__less__add__iff)
% 225.10/34.57 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 225.10/34.57 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 225.10/34.57 ! [v2: $i] : ! [v3: $i] : ( ~
% 225.10/34.57 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~ $i(v2) |
% 225.10/34.57 ~ $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) |
% 225.10/34.57 ? [v4: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v4 &
% 225.10/34.57 $i(v4) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v1))) & !
% 225.10/34.57 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 225.10/34.57 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~ $i(v2) |
% 225.10/34.57 ~ $i(v1) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) | ?
% 225.10/34.57 [v4: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v4 &
% 225.10/34.57 $i(v4) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v1))))
% 225.10/34.57
% 225.10/34.57 (fact_real__add__eq__0__iff)
% 225.10/34.57 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 225.10/34.57 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 225.10/34.57 ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 225.10/34.57 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~ $i(v2) |
% 225.10/34.57 ~ $i(v1) | ? [v4: $i] : ( ~ (v4 = v1) &
% 225.10/34.57 c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v4 & $i(v4))) &
% 225.10/34.57 ! [v1: $i] : ! [v2: $i] : ( ~
% 225.10/34.57 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v0) | ~ $i(v2) |
% 225.10/34.57 ~ $i(v1) | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v1))
% 225.10/34.57
% 225.10/34.57 (fact_real__add__le__0__iff)
% 225.10/34.57 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 225.10/34.57 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 225.10/34.57 ! [v2: $i] : ! [v3: $i] : ( ~
% 225.10/34.57 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~ $i(v2) |
% 225.10/34.57 ~ $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0)
% 225.10/34.57 | ? [v4: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) =
% 225.10/34.57 v4 & $i(v4) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1,
% 225.10/34.57 v4))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 225.10/34.57 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~ $i(v2) |
% 225.10/34.57 ~ $i(v1) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0) |
% 225.10/34.57 ? [v4: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v4 &
% 225.10/34.57 $i(v4) & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1,
% 225.10/34.57 v4))))
% 225.10/34.57
% 225.10/34.57 (fact_real__add__less__0__iff)
% 225.10/34.57 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 225.10/34.57 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 225.10/34.57 ! [v2: $i] : ! [v3: $i] : ( ~
% 225.10/34.57 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~ $i(v2) |
% 225.10/34.57 ~ $i(v1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0) |
% 225.10/34.57 ? [v4: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v4 &
% 225.10/34.57 $i(v4) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v4))) & !
% 225.10/34.57 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 225.10/34.57 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~ $i(v2) |
% 225.10/34.57 ~ $i(v1) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0) | ?
% 225.10/34.57 [v4: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v4 &
% 225.10/34.57 $i(v4) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v4))))
% 225.10/34.57
% 225.10/34.57 (fact_real__add__minus__iff)
% 225.10/34.57 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 225.10/34.57 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 225.10/34.57 ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 225.10/34.57 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2) | ~
% 225.10/34.57 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v2) = v3) | ~ $i(v1))
% 225.10/34.57 & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v2 = v1 | ~
% 225.10/34.57 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v3) | ~
% 225.10/34.57 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v3) = v0) | ~ $i(v2) |
% 225.10/34.57 ~ $i(v1)))
% 225.10/34.57
% 225.10/34.57 (fact_real__add__mult__distrib)
% 225.10/34.57 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 225.10/34.57 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 225.10/34.57 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 225.10/34.57 [v7: $i] : ! [v8: $i] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,
% 225.10/34.57 v5, v7) = v8) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v4, v1) = v5) | ~
% 225.10/34.57 (hAPP(v0, v3) = v4) | ~ (hAPP(v0, v2) = v6) | ~ $i(v3) | ~ $i(v2) | ~
% 225.10/34.57 $i(v1) | ? [v9: $i] : ? [v10: $i] :
% 225.10/34.57 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v2) = v9 & hAPP(v10,
% 225.10/34.57 v1) = v8 & hAPP(v0, v9) = v10 & $i(v10) & $i(v9) & $i(v8))))
% 225.10/34.57
% 225.10/34.57 (fact_real__le__eq__diff)
% 225.10/34.57 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 225.10/34.57 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 225.10/34.57 ! [v2: $i] : ! [v3: $i] : ( ~
% 225.10/34.57 (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v2, v1) = v3) | ~ $i(v2)
% 225.10/34.57 | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3,
% 225.10/34.57 v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1)) & !
% 225.10/34.57 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 225.10/34.57 (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v2, v1) = v3) | ~ $i(v2)
% 225.10/34.57 | ~ $i(v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2,
% 225.10/34.57 v1) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0)))
% 225.10/34.57
% 225.10/34.57 (fact_real__minus__mult__self__le)
% 225.10/34.57 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 225.10/34.57 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 225.10/34.57 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 225.10/34.57 (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(v0, v2) = v3) | ~
% 225.10/34.57 (hAPP(v0, v1) = v5) | ~ $i(v2) | ~ $i(v1) | ? [v7: $i] :
% 225.10/34.57 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v4) = v7 & $i(v7) &
% 225.10/34.57 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v7, v6))))
% 225.10/34.57
% 225.10/34.57 (fact_real__mult__1)
% 225.10/34.57 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 225.10/34.57 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 225.10/34.57 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & hAPP(v0, v1) = v2 &
% 225.10/34.57 $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : (v4 = v3 | ~
% 225.10/34.57 (hAPP(v2, v3) = v4) | ~ $i(v3)))
% 225.10/34.57
% 225.10/34.57 (fact_real__mult__assoc)
% 225.10/34.58 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 225.10/34.58 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 225.10/34.58 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 225.10/34.58 [v7: $i] : ( ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v0,
% 225.10/34.58 v5) = v6) | ~ (hAPP(v0, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1)
% 225.10/34.58 | ? [v8: $i] : ? [v9: $i] : (hAPP(v8, v1) = v9 & hAPP(v4, v9) = v7 &
% 225.10/34.58 hAPP(v0, v2) = v8 & $i(v9) & $i(v8) & $i(v7))))
% 225.10/34.58
% 225.10/34.58 (fact_real__mult__commute)
% 225.10/34.58 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 225.10/34.58 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 225.10/34.58 ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (hAPP(v3, v2) = v4) | ~
% 225.10/34.58 (hAPP(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ? [v5: $i] : (hAPP(v5, v1)
% 225.10/34.58 = v4 & hAPP(v0, v2) = v5 & $i(v5) & $i(v4))))
% 225.10/34.58
% 225.10/34.58 (fact_real__mult__inverse__cancel)
% 225.10/34.58 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 225.10/34.58 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 225.10/34.58 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 225.10/34.58 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 225.10/34.58 $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~
% 225.10/34.58 (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v5) = v6) | ~
% 225.10/34.58 (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v4) = v9) | ~
% 225.10/34.58 (hAPP(v10, v2) = v11) | ~ (hAPP(v7, v3) = v8) | ~ (hAPP(v1, v9) = v10) |
% 225.10/34.58 ~ (hAPP(v1, v6) = v7) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) |
% 225.10/34.58 ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v5) | ~
% 225.10/34.58 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 225.10/34.58 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v11) | ? [v12: $i] :
% 225.10/34.58 ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : (hAPP(v14, v2) = v15 &
% 225.10/34.58 hAPP(v12, v3) = v13 & hAPP(v1, v5) = v14 & hAPP(v1, v4) = v12 & $i(v15)
% 225.10/34.58 & $i(v14) & $i(v13) & $i(v12) & ~
% 225.10/34.58 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v13, v15))))
% 225.10/34.58
% 225.10/34.58 (fact_real__mult__inverse__cancel2)
% 225.10/34.58 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 225.10/34.58 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 225.10/34.58 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 225.10/34.58 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 225.10/34.58 $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~
% 225.10/34.58 (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v5) = v7) | ~
% 225.10/34.58 (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v4) = v10) | ~
% 225.10/34.58 (hAPP(v9, v10) = v11) | ~ (hAPP(v6, v7) = v8) | ~ (hAPP(v1, v3) = v6) |
% 225.10/34.58 ~ (hAPP(v1, v2) = v9) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 225.10/34.58 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v5) | ~
% 225.10/34.58 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 225.10/34.58 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v11) | ? [v12: $i] :
% 225.10/34.58 ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : (hAPP(v14, v2) = v15 &
% 225.10/34.58 hAPP(v12, v3) = v13 & hAPP(v1, v5) = v14 & hAPP(v1, v4) = v12 & $i(v15)
% 225.10/34.58 & $i(v14) & $i(v13) & $i(v12) & ~
% 225.10/34.58 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v13, v15))))
% 225.10/34.58
% 225.10/34.58 (fact_real__mult__inverse__left)
% 225.10/34.58 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 225.10/34.58 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 225.10/34.58 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v2 &
% 225.10/34.58 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v2) & $i(v1) &
% 225.10/34.58 $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v6 = v2 |
% 225.10/34.58 v3 = v0 | ~ (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v3) = v4)
% 225.10/34.58 | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v1, v4) = v5) | ~ $i(v3)))
% 225.10/34.58
% 225.10/34.58 (fact_real__mult__le__cancel__iff1)
% 225.10/34.58 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 225.10/34.58 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 225.10/34.58 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 225.10/34.58 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 225.10/34.58 $i] : ! [v8: $i] : ( ~ (hAPP(v7, v4) = v8) | ~ (hAPP(v5, v4) = v6) | ~
% 225.10/34.58 (hAPP(v1, v3) = v5) | ~ (hAPP(v1, v2) = v7) | ~ $i(v4) | ~ $i(v3) | ~
% 225.10/34.58 $i(v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v8) |
% 225.10/34.58 ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 225.10/34.58 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v2)) & ! [v2: $i]
% 225.10/34.58 : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 225.10/34.58 [v8: $i] : ( ~ (hAPP(v7, v4) = v8) | ~ (hAPP(v5, v4) = v6) | ~ (hAPP(v1,
% 225.10/34.58 v3) = v5) | ~ (hAPP(v1, v2) = v7) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2)
% 225.10/34.58 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v2) | ~
% 225.10/34.58 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 225.10/34.58 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v8)))
% 225.10/34.58
% 225.10/34.58 (fact_real__mult__le__cancel__iff2)
% 225.10/34.58 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 225.10/34.58 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 225.10/34.58 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 225.10/34.58 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 225.10/34.58 $i] : ( ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v7) | ~ (hAPP(v1, v4)
% 225.10/34.58 = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 225.10/34.58 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v7) | ~
% 225.10/34.58 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 225.10/34.58 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v2)) & ! [v2: $i]
% 225.10/34.58 : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 225.10/34.58 (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v7) | ~ (hAPP(v1, v4) = v5) | ~
% 225.10/34.58 $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 225.10/34.58 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v2) | ~
% 225.10/34.58 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 225.10/34.58 c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v7)))
% 225.10/34.58
% 225.10/34.58 (fact_real__mult__left__cancel)
% 225.10/34.58 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 225.10/34.58 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 225.10/34.58 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 225.10/34.58 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v4 = v0
% 225.10/34.58 | v3 = v2 | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v1,
% 225.10/34.58 v4) = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2)))
% 225.10/34.58
% 225.10/34.58 (fact_real__mult__less__iff1)
% 225.10/34.59 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 225.10/34.59 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 225.10/34.59 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 225.10/34.59 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 225.10/34.59 $i] : ! [v8: $i] : ( ~ (hAPP(v7, v4) = v8) | ~ (hAPP(v5, v4) = v6) | ~
% 225.10/34.59 (hAPP(v1, v3) = v5) | ~ (hAPP(v1, v2) = v7) | ~ $i(v4) | ~ $i(v3) | ~
% 225.10/34.59 $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v8) | ~
% 225.10/34.59 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 225.10/34.59 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v2)) & ! [v2: $i] :
% 225.10/34.59 ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8:
% 225.10/34.59 $i] : ( ~ (hAPP(v7, v4) = v8) | ~ (hAPP(v5, v4) = v6) | ~ (hAPP(v1, v3)
% 225.10/34.59 = v5) | ~ (hAPP(v1, v2) = v7) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 225.10/34.59 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v2) | ~
% 225.10/34.59 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 225.10/34.59 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v8)))
% 225.10/34.59
% 225.10/34.59 (fact_real__mult__less__mono2)
% 225.10/34.59 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 225.10/34.59 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 225.10/34.59 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 225.10/34.59 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 225.10/34.59 $i] : ( ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v7) | ~ (hAPP(v1, v4)
% 225.10/34.59 = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 225.10/34.59 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v2) | ~
% 225.10/34.59 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 225.10/34.59 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v7)))
% 225.10/34.59
% 225.10/34.59 (fact_real__mult__order)
% 225.10/34.59 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 225.10/34.59 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 225.10/34.59 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 225.10/34.59 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v4, v2) = v5)
% 225.10/34.59 | ~ (hAPP(v1, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~
% 225.10/34.59 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) | ~
% 225.10/34.59 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) |
% 225.10/34.59 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v5)))
% 225.10/34.59
% 225.10/34.59 (fact_real__mult__right__cancel)
% 225.10/34.59 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 225.10/34.59 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 225.10/34.59 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 225.10/34.59 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 225.10/34.59 $i] : (v4 = v0 | v3 = v2 | ~ (hAPP(v7, v4) = v6) | ~ (hAPP(v5, v4) = v6)
% 225.10/34.59 | ~ (hAPP(v1, v3) = v5) | ~ (hAPP(v1, v2) = v7) | ~ $i(v4) | ~ $i(v3)
% 225.10/34.59 | ~ $i(v2)))
% 225.10/34.59
% 225.10/34.59 (fact_real__sgn__def)
% 225.10/34.59 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 225.10/34.59 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2 &
% 225.10/34.59 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 225.10/34.59 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v2) & $i(v1) &
% 225.10/34.59 $i(v0) & ! [v3: $i] : ! [v4: $i] : (v4 = v2 | v3 = v0 | ~
% 225.10/34.59 (c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, v3) = v4) | ~ $i(v3) |
% 225.10/34.59 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3)) & ! [v3: $i] :
% 225.10/34.59 ! [v4: $i] : (v4 = v1 | v3 = v0 | ~
% 225.10/34.59 (c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, v3) = v4) | ~ $i(v3) | ~
% 225.10/34.59 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3)) & ! [v3: $i] :
% 225.10/34.59 (v3 = v0 | ~ (c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, v0) = v3)))
% 225.10/34.59
% 225.10/34.59 (fact_real__sgn__pos)
% 225.10/34.59 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 225.10/34.59 (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 225.10/34.59 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & !
% 225.10/34.59 [v2: $i] : ! [v3: $i] : (v3 = v1 | ~
% 225.10/34.59 (c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, v2) = v3) | ~ $i(v2) | ~
% 225.10/34.59 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2)))
% 225.10/34.59
% 225.10/34.59 (fact_real__two__squares__add__zero__iff)
% 225.10/34.59 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] :
% 225.10/34.59 (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 225.10/34.59 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0) & !
% 225.10/34.59 [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 225.10/34.59 $i] : (v3 = v1 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v7)
% 225.10/34.59 = v1) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v4, v3) = v5) | ~ (hAPP(v0,
% 225.10/34.59 v3) = v4) | ~ (hAPP(v0, v2) = v6) | ~ $i(v3) | ~ $i(v2)) & ! [v2:
% 225.10/34.59 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 225.10/34.59 : (v2 = v1 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v7) = v1)
% 225.10/34.59 | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v4, v3) = v5) | ~ (hAPP(v0, v3) = v4)
% 225.10/34.59 | ~ (hAPP(v0, v2) = v6) | ~ $i(v3) | ~ $i(v2)) & ! [v2: $i] : ! [v3:
% 225.10/34.59 $i] : ! [v4: $i] : (v4 = v1 | ~
% 225.10/34.59 (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v3) = v4) | ~
% 225.10/34.59 (hAPP(v2, v1) = v3) | ~ (hAPP(v0, v1) = v2)))
% 225.10/34.59
% 225.10/34.59 (fact_real__zero__not__eq__one)
% 225.10/34.59 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) &
% 225.10/34.59 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 225.10/34.59 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0))
% 225.10/34.59
% 225.10/34.59 (fact_realpow__minus__mult)
% 225.10/34.59 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 225.10/34.59 (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 &
% 225.10/34.59 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v1) & $i(v0) & ! [v2:
% 225.10/34.59 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 225.10/34.59 : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~
% 225.10/34.59 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v1) = v8) | ~
% 225.10/34.59 (c_Groups_Otimes__class_Otimes(v4) = v5) | ~
% 225.10/34.59 (c_Power_Opower__class_Opower(v4) = v6) | ~ (hAPP(v10, v2) = v11) | ~
% 225.10/34.59 (hAPP(v7, v8) = v9) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v9) = v10) |
% 225.10/34.59 ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ class_Groups_Omonoid__mult(v4) | ~
% 225.10/34.59 c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) | (hAPP(v7, v3) = v11 &
% 225.10/34.59 $i(v11))))
% 225.10/34.59
% 225.10/34.59 (fact_realpow__num__eq__if)
% 225.10/34.60 $i(tc_Nat_Onat) & ? [v0: $i] : ? [v1: $i] :
% 225.10/34.60 (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 &
% 225.10/34.60 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v1) & $i(v0) & ! [v2:
% 225.10/34.60 $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i]
% 225.10/34.60 : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11: $i] : ( ~
% 225.10/34.60 (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v1) = v9) | ~
% 225.10/34.60 (c_Groups_Otimes__class_Otimes(v4) = v7) | ~
% 225.10/34.60 (c_Power_Opower__class_Opower(v4) = v5) | ~ (hAPP(v8, v10) = v11) | ~
% 225.10/34.60 (hAPP(v7, v2) = v8) | ~ (hAPP(v6, v9) = v10) | ~ (hAPP(v5, v2) = v6) |
% 225.10/34.60 ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~ class_Power_Opower(v4) | ? [v12:
% 225.10/34.60 $i] : ? [v13: $i] : (( ~ (v3 = v0) | (v13 = v12 &
% 225.10/34.60 c_Groups_Oone__class_Oone(v4) = v12 & hAPP(v6, v0) = v12 & $i(v12)))
% 225.10/34.60 & (v3 = v0 | (v12 = v11 & hAPP(v6, v3) = v11 & $i(v11))))))
% 225.10/34.60
% 225.10/34.60 (fact_reduce__poly__simple)
% 225.10/34.60 $i(tc_Nat_Onat) & $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0: $i]
% 225.10/34.60 : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 225.10/34.60 (c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v3 &
% 225.10/34.60 c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v4 &
% 225.10/34.60 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v2 &
% 225.10/34.60 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v5 &
% 225.10/34.60 c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 &
% 225.10/34.60 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0 & $i(v5) & $i(v4) &
% 225.10/34.60 $i(v3) & $i(v2) & $i(v1) & $i(v0) & ? [v6: $i] : ! [v7: $i] : ! [v8: $i]
% 225.10/34.60 : (v7 = v0 | v6 = v1 | ~ (hAPP(v3, v7) = v8) | ~ $i(v7) | ~ $i(v6) | ?
% 225.10/34.60 [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ?
% 225.10/34.60 [v14: $i] : (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v2, v12) =
% 225.10/34.60 v13 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v13) = v14 &
% 225.10/34.60 hAPP(v10, v6) = v11 & hAPP(v8, v11) = v12 & hAPP(v4, v9) = v10 & $i(v14)
% 225.10/34.60 & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 225.10/34.60 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v14, v5))))
% 225.10/34.60
% 225.10/34.60 (fact_rnc)
% 225.10/34.60 $i(v_q____) & $i(tc_Complex_Ocomplex) & ? [v0: $i] : ? [v1: $i] : ? [v2:
% 225.10/34.60 $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 225.10/34.60 (c_Polynomial_Osmult(tc_Complex_Ocomplex, v3, v_q____) = v4 &
% 225.10/34.60 c_Polynomial_Opoly(tc_Complex_Ocomplex, v4) = v5 &
% 225.10/34.60 c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v0 &
% 225.10/34.60 c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, v2) = v3 &
% 225.10/34.60 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 & hAPP(v0, v1) = v2 &
% 225.10/34.60 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ~
% 225.10/34.60 c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,
% 225.10/34.60 tc_Complex_Ocomplex, v5))
% 225.10/34.60
% 225.10/34.60 (fact_sgn__real__def)
% 225.10/34.60 $i(tc_RealDef_Oreal) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 225.10/34.60 (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2 &
% 225.10/34.60 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 225.10/34.60 c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v2) & $i(v1) &
% 225.10/34.60 $i(v0) & ! [v3: $i] : ! [v4: $i] : (v4 = v2 | v3 = v0 | ~
% 225.10/34.60 (c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, v3) = v4) | ~ $i(v3) |
% 225.10/34.60 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3)) & ! [v3: $i] :
% 225.10/34.60 ! [v4: $i] : (v4 = v1 | v3 = v0 | ~
% 225.10/34.60 (c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, v3) = v4) | ~ $i(v3) | ~
% 225.10/34.60 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3)) & ! [v3: $i] :
% 225.10/34.60 (v3 = v0 | ~ (c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, v0) = v3)))
% 225.10/34.60
% 225.10/34.60 (fact_split__mult__neg__le)
% 225.10/34.60 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 225.10/34.60 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5)
% 225.10/34.60 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 225.10/34.60 class_Rings_Oordered__cancel__semiring(v2) | ? [v6: $i] :
% 225.10/34.60 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) &
% 225.10/34.60 (c_Orderings_Oord__class_Oless__eq(v2, v5, v6) | (( ~
% 225.10/34.60 c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | ~
% 225.10/34.60 c_Orderings_Oord__class_Oless__eq(v2, v0, v6)) & ( ~
% 225.10/34.60 c_Orderings_Oord__class_Oless__eq(v2, v6, v0) | ~
% 225.10/34.60 c_Orderings_Oord__class_Oless__eq(v2, v1, v6))))))
% 225.10/34.60
% 225.10/34.60 (fact_split__mult__pos__le)
% 225.10/34.60 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 225.10/34.60 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5)
% 225.10/34.60 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 225.10/34.60 class_Rings_Oordered__ring(v2) | ? [v6: $i] :
% 225.10/34.60 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) &
% 225.10/34.60 (c_Orderings_Oord__class_Oless__eq(v2, v6, v5) | (( ~
% 225.10/34.60 c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | ~
% 225.10/34.60 c_Orderings_Oord__class_Oless__eq(v2, v6, v0)) & ( ~
% 225.10/34.60 c_Orderings_Oord__class_Oless__eq(v2, v1, v6) | ~
% 225.10/34.60 c_Orderings_Oord__class_Oless__eq(v2, v0, v6))))))
% 225.10/34.60
% 225.10/34.60 (fact_th01)
% 225.10/34.60 $i(v_a____) & $i(v_k____) & $i(tc_Nat_Onat) & $i(tc_Complex_Ocomplex) & ?
% 225.10/34.60 [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i]
% 225.10/34.60 : (c_Polynomial_Omonom(tc_Complex_Ocomplex, v_a____, v2) = v3 &
% 225.10/34.60 c_Polynomial_OpCons(tc_Complex_Ocomplex, v0, v3) = v4 &
% 225.10/34.60 c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v_k____, v1) = v2 &
% 225.10/34.60 c_Polynomial_Opoly(tc_Complex_Ocomplex, v4) = v5 &
% 225.10/34.60 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 &
% 225.10/34.60 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 & $i(v5) & $i(v4) &
% 225.10/34.60 $i(v3) & $i(v2) & $i(v1) & $i(v0) & ~
% 225.10/34.60 c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,
% 225.10/34.60 tc_Complex_Ocomplex, v5))
% 225.10/34.60
% 225.10/34.60 (fact_th02)
% 225.10/34.60 $i(v_a____) & $i(v_k____) & $i(tc_Nat_Onat) & $i(tc_Complex_Ocomplex) & ?
% 225.10/34.60 [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i]
% 225.10/34.60 : (c_Polynomial_Omonom(tc_Complex_Ocomplex, v_a____, v3) = v4 &
% 225.10/34.60 c_Polynomial_OpCons(tc_Complex_Ocomplex, v2, v4) = v5 &
% 225.10/34.60 c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex, v5) =
% 225.10/34.60 v1 & c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v_k____, v0) = v3 &
% 225.10/34.60 c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, v0) = v1 &
% 225.10/34.60 c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 &
% 225.10/34.60 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v2 & $i(v5) & $i(v4) &
% 225.10/34.60 $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 225.10/34.60
% 225.10/34.60 (fact_unimodular__reduce__norm)
% 225.10/34.61 $i(c_Complex_Oii) & $i(tc_Complex_Ocomplex) & $i(tc_RealDef_Oreal) & ? [v0:
% 225.10/34.61 $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v1 &
% 225.10/34.61 c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) & ! [v2:
% 225.10/34.61 $i] : ! [v3: $i] : ( ~
% 225.10/34.61 (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v2, v1) = v3) | ~
% 225.10/34.61 $i(v2) | ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8:
% 225.10/34.61 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : (( ~ (v4 = v0) &
% 225.10/34.61 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v4 &
% 225.10/34.61 $i(v4)) | (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v2,
% 225.10/34.61 c_Complex_Oii) = v10 &
% 225.10/34.61 c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v10) = v11 &
% 225.10/34.61 $i(v11) & $i(v10) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 225.10/34.61 v11, v0)) | (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v2,
% 225.10/34.61 v1) = v5 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5)
% 225.10/34.61 = v6 & $i(v6) & $i(v5) &
% 225.10/34.61 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v0)) |
% 225.10/34.61 (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v2, c_Complex_Oii) =
% 225.10/34.61 v8 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v8) = v9 &
% 225.10/34.61 $i(v9) & $i(v8) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9,
% 225.10/34.61 v0)) | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) =
% 225.10/34.61 v7 & $i(v7) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7,
% 225.10/34.61 v0)))))
% 225.10/34.61
% 225.10/34.61 (fact_w)
% 225.10/34.61 $i(v_a____) & $i(v_k____) & $i(v_w____) & $i(tc_Complex_Ocomplex) & ? [v0:
% 225.10/34.61 $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 225.10/34.61 ? [v6: $i] : ? [v7: $i] : (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex,
% 225.10/34.61 v0, v6) = v7 & c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v1 &
% 225.10/34.61 c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v2 &
% 225.10/34.61 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 &
% 225.10/34.61 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v7 & hAPP(v5, v_a____) =
% 225.10/34.61 v6 & hAPP(v3, v_k____) = v4 & hAPP(v2, v_w____) = v3 & hAPP(v1, v4) = v5 &
% 225.10/34.61 $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 225.10/34.61
% 225.10/34.61 (fact_w0)
% 225.10/34.61 $i(v_w____) & $i(tc_Complex_Ocomplex) & ? [v0: $i] : ( ~ (v0 = v_w____) &
% 225.10/34.61 c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0 & $i(v0))
% 225.10/34.61
% 225.10/34.61 (fact_wm1)
% 225.10/34.61 $i(v_a____) & $i(v_k____) & $i(v_w____) & $i(tc_Complex_Ocomplex) & ? [v0:
% 225.10/34.61 $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] :
% 225.10/34.61 ? [v6: $i] : (c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v6) = v5 &
% 225.10/34.61 c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v0 &
% 225.10/34.61 c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v1 &
% 225.10/34.61 c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v6 & hAPP(v4, v_a____) = v5
% 225.10/34.61 & hAPP(v2, v_k____) = v3 & hAPP(v1, v_w____) = v2 & hAPP(v0, v3) = v4 &
% 225.10/34.61 $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 225.10/34.61
% 225.10/34.61 (fact_zero__le__mult__iff)
% 225.10/34.61 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 225.10/34.61 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5)
% 225.10/34.61 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 225.10/34.61 class_Rings_Olinordered__ring__strict(v2) | ? [v6: $i] :
% 225.10/34.61 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~
% 225.10/34.61 c_Orderings_Oord__class_Oless__eq(v2, v6, v5) |
% 225.10/34.61 (c_Orderings_Oord__class_Oless__eq(v2, v6, v1) &
% 225.10/34.61 c_Orderings_Oord__class_Oless__eq(v2, v6, v0)) |
% 225.10/34.61 (c_Orderings_Oord__class_Oless__eq(v2, v1, v6) &
% 225.10/34.61 c_Orderings_Oord__class_Oless__eq(v2, v0, v6))) &
% 225.10/34.61 (c_Orderings_Oord__class_Oless__eq(v2, v6, v5) | (( ~
% 225.10/34.61 c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | ~
% 225.10/34.61 c_Orderings_Oord__class_Oless__eq(v2, v6, v0)) & ( ~
% 225.10/34.61 c_Orderings_Oord__class_Oless__eq(v2, v1, v6) | ~
% 225.10/34.61 c_Orderings_Oord__class_Oless__eq(v2, v0, v6))))))
% 225.10/34.61
% 225.10/34.61 (fact_zero__le__one)
% 225.10/34.61 ! [v0: $i] : ! [v1: $i] : ( ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~
% 225.10/34.61 $i(v0) | ~ class_Rings_Olinordered__semidom(v0) | ? [v2: $i] :
% 225.10/34.61 (c_Groups_Ozero__class_Ozero(v0) = v2 & $i(v2) &
% 225.10/34.61 c_Orderings_Oord__class_Oless__eq(v0, v2, v1)))
% 225.10/34.61
% 225.10/34.61 (fact_zero__le__power)
% 225.10/34.61 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 225.10/34.61 $i] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v0) = v5) |
% 225.10/34.61 ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 225.10/34.61 class_Rings_Olinordered__semidom(v2) | ? [v6: $i] :
% 225.10/34.61 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~
% 225.10/34.61 c_Orderings_Oord__class_Oless__eq(v2, v6, v1) |
% 225.10/34.61 c_Orderings_Oord__class_Oless__eq(v2, v6, v5))))
% 225.10/34.61
% 225.10/34.61 (fact_zero__less__mult__pos2)
% 225.10/34.61 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 225.10/34.61 $i] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v0) = v5)
% 225.10/34.61 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 225.10/34.61 class_Rings_Olinordered__semiring__strict(v2) | ? [v6: $i] :
% 225.10/34.61 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~
% 225.10/34.61 c_Orderings_Oord__class_Oless(v2, v6, v5) | ~
% 225.10/34.61 c_Orderings_Oord__class_Oless(v2, v6, v0) |
% 225.10/34.61 c_Orderings_Oord__class_Oless(v2, v6, v1))))
% 225.10/34.61
% 225.10/34.61 (fact_zero__less__norm__iff)
% 225.10/34.61 $i(tc_RealDef_Oreal) & ? [v0: $i] :
% 225.10/34.61 (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0) & ! [v1: $i] :
% 225.10/34.61 ! [v2: $i] : ! [v3: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v2, v1) =
% 225.10/34.61 v3) | ~ $i(v2) | ~ $i(v1) | ~
% 225.10/34.61 class_RealVector_Oreal__normed__vector(v2) | ? [v4: $i] : (( ~
% 225.10/34.61 c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) | ( ~ (v4 =
% 225.10/34.61 v1) & c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4))) &
% 225.10/34.61 (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) | (v4 = v1 &
% 225.10/34.61 c_Groups_Ozero__class_Ozero(v2) = v1)))))
% 225.10/34.61
% 225.10/34.61 (fact_zero__less__power)
% 225.10/34.61 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 225.10/34.61 $i] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v0) = v5) |
% 225.10/34.61 ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 225.10/34.61 class_Rings_Olinordered__semidom(v2) | ? [v6: $i] :
% 225.10/34.61 (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~
% 225.10/34.61 c_Orderings_Oord__class_Oless(v2, v6, v1) |
% 225.10/34.61 c_Orderings_Oord__class_Oless(v2, v6, v5))))
% 225.10/34.61
% 225.10/34.61 (fact_zero__neq__one)
% 225.10/34.61 ! [v0: $i] : ! [v1: $i] : ( ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~
% 225.10/34.61 $i(v0) | ~ class_Rings_Ozero__neq__one(v0) | ? [v2: $i] : ( ~ (v2 = v1) &
% 225.10/34.61 c_Groups_Ozero__class_Ozero(v0) = v2 & $i(v2)))
% 225.10/34.61
% 225.10/34.61 (function-axioms)
% 225.10/34.62 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0
% 225.10/34.62 | ~ (c_Power_Opower_Opower(v4, v3, v2) = v1) | ~
% 225.10/34.62 (c_Power_Opower_Opower(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 225.10/34.62 [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (c_Polynomial_Oorder(v4,
% 225.10/34.62 v3, v2) = v1) | ~ (c_Polynomial_Oorder(v4, v3, v2) = v0)) & ! [v0: $i]
% 225.10/34.62 : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 225.10/34.62 (c_Polynomial_Opcompose(v4, v3, v2) = v1) | ~ (c_Polynomial_Opcompose(v4,
% 225.10/34.62 v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] :
% 225.10/34.62 ! [v4: $i] : (v1 = v0 | ~ (c_Polynomial_Osynthetic__div(v4, v3, v2) = v1) |
% 225.10/34.62 ~ (c_Polynomial_Osynthetic__div(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1:
% 225.10/34.62 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 225.10/34.62 (c_Polynomial_Omonom(v4, v3, v2) = v1) | ~ (c_Polynomial_Omonom(v4, v3, v2)
% 225.10/34.62 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4:
% 225.10/34.62 $i] : (v1 = v0 | ~ (c_Polynomial_OpCons(v4, v3, v2) = v1) | ~
% 225.10/34.62 (c_Polynomial_OpCons(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 225.10/34.62 [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (c_Polynomial_Osmult(v4,
% 225.10/34.62 v3, v2) = v1) | ~ (c_Polynomial_Osmult(v4, v3, v2) = v0)) & ! [v0: $i]
% 225.10/34.62 : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 225.10/34.62 (c_Groups_Ominus__class_Ominus(v4, v3, v2) = v1) | ~
% 225.10/34.62 (c_Groups_Ominus__class_Ominus(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1:
% 225.10/34.62 $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 225.10/34.62 (c_Groups_Oplus__class_Oplus(v4, v3, v2) = v1) | ~
% 225.10/34.62 (c_Groups_Oplus__class_Oplus(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 225.10/34.62 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (c_Groups_Osgn__class_Osgn(v3, v2)
% 225.10/34.62 = v1) | ~ (c_Groups_Osgn__class_Osgn(v3, v2) = v0)) & ! [v0: $i] : !
% 225.10/34.62 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 225.10/34.62 (c_Nat__Transfer_Otsub(v3, v2) = v1) | ~ (c_Nat__Transfer_Otsub(v3, v2) =
% 225.10/34.62 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 |
% 225.10/34.62 ~ (tc_fun(v3, v2) = v1) | ~ (tc_fun(v3, v2) = v0)) & ! [v0: $i] : ! [v1:
% 225.10/34.62 $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 225.10/34.62 (c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(v3, v2) = v1) | ~
% 225.10/34.62 (c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(v3, v2) = v0)) & ! [v0:
% 225.10/34.62 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 225.10/34.62 (c_Groups_Ouminus__class_Ouminus(v3, v2) = v1) | ~
% 225.10/34.62 (c_Groups_Ouminus__class_Ouminus(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 225.10/34.62 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (c_Polynomial_Opoly(v3, v2) = v1)
% 225.10/34.62 | ~ (c_Polynomial_Opoly(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 225.10/34.62 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (c_Rings_Oinverse__class_Oinverse(v3,
% 225.10/34.62 v2) = v1) | ~ (c_Rings_Oinverse__class_Oinverse(v3, v2) = v0)) & !
% 225.10/34.62 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 225.10/34.62 (c_RealVector_Onorm__class_Onorm(v3, v2) = v1) | ~
% 225.10/34.62 (c_RealVector_Onorm__class_Onorm(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i]
% 225.10/34.62 : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP(v3, v2) = v1) | ~ (hAPP(v3,
% 225.10/34.62 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 225.10/34.62 (c_Nat_OSuc(v2) = v1) | ~ (c_Nat_OSuc(v2) = v0)) & ! [v0: $i] : ! [v1:
% 225.10/34.62 $i] : ! [v2: $i] : (v1 = v0 | ~ (tc_Polynomial_Opoly(v2) = v1) | ~
% 225.10/34.62 (tc_Polynomial_Opoly(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 225.10/34.62 (v1 = v0 | ~ (c_Groups_Otimes__class_Otimes(v2) = v1) | ~
% 225.10/34.62 (c_Groups_Otimes__class_Otimes(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 225.10/34.62 [v2: $i] : (v1 = v0 | ~ (c_Power_Opower__class_Opower(v2) = v1) | ~
% 225.10/34.62 (c_Power_Opower__class_Opower(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 225.10/34.62 [v2: $i] : (v1 = v0 | ~ (c_Groups_Oone__class_Oone(v2) = v1) | ~
% 225.10/34.62 (c_Groups_Oone__class_Oone(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 225.10/34.62 $i] : (v1 = v0 | ~ (c_Groups_Ozero__class_Ozero(v2) = v1) | ~
% 225.10/34.62 (c_Groups_Ozero__class_Ozero(v2) = v0))
% 225.10/34.62
% 225.10/34.62 Further assumptions not needed in the proof:
% 225.10/34.62 --------------------------------------------
% 225.10/34.62 arity_Complex__Ocomplex__Fields_Ofield,
% 225.10/34.62 arity_Complex__Ocomplex__Fields_Ofield__inverse__zero,
% 225.10/34.62 arity_Complex__Ocomplex__Groups_Oab__group__add,
% 225.10/34.62 arity_Complex__Ocomplex__Groups_Oab__semigroup__add,
% 225.10/34.62 arity_Complex__Ocomplex__Groups_Oab__semigroup__mult,
% 225.10/34.62 arity_Complex__Ocomplex__Groups_Ocancel__ab__semigroup__add,
% 225.10/34.62 arity_Complex__Ocomplex__Groups_Ocancel__comm__monoid__add,
% 225.10/34.62 arity_Complex__Ocomplex__Groups_Ocancel__semigroup__add,
% 225.10/34.62 arity_Complex__Ocomplex__Groups_Ocomm__monoid__add,
% 225.10/34.62 arity_Complex__Ocomplex__Groups_Ocomm__monoid__mult,
% 225.10/34.62 arity_Complex__Ocomplex__Groups_Ominus,
% 225.10/34.62 arity_Complex__Ocomplex__Groups_Omonoid__add,
% 225.10/34.62 arity_Complex__Ocomplex__Groups_Omonoid__mult,
% 225.10/34.62 arity_Complex__Ocomplex__Groups_Oone, arity_Complex__Ocomplex__Groups_Ouminus,
% 225.10/34.62 arity_Complex__Ocomplex__Groups_Ozero,
% 225.10/34.62 arity_Complex__Ocomplex__Int_Oring__char__0,
% 225.10/34.62 arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra,
% 225.10/34.62 arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1,
% 225.10/34.62 arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra,
% 225.10/34.62 arity_Complex__Ocomplex__Rings_Ocomm__ring,
% 225.10/34.62 arity_Complex__Ocomplex__Rings_Ocomm__ring__1,
% 225.10/34.62 arity_Complex__Ocomplex__Rings_Ocomm__semiring,
% 225.10/34.62 arity_Complex__Ocomplex__Rings_Ocomm__semiring__0,
% 225.10/34.62 arity_Complex__Ocomplex__Rings_Ocomm__semiring__1,
% 225.10/34.62 arity_Complex__Ocomplex__Rings_Odvd, arity_Complex__Ocomplex__Rings_Oidom,
% 225.10/34.62 arity_Complex__Ocomplex__Rings_Oring, arity_Complex__Ocomplex__Rings_Oring__1,
% 225.10/34.62 arity_Complex__Ocomplex__Rings_Osemiring,
% 225.10/34.62 arity_Complex__Ocomplex__Rings_Osemiring__0,
% 225.10/34.62 arity_Complex__Ocomplex__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,
% 225.10/34.62 arity_HOL__Obool__Groups_Ominus, arity_HOL__Obool__Groups_Ouminus,
% 225.10/34.62 arity_HOL__Obool__Lattices_Oboolean__algebra, arity_HOL__Obool__Orderings_Oord,
% 225.10/34.62 arity_HOL__Obool__Orderings_Oorder, arity_HOL__Obool__Orderings_Opreorder,
% 225.10/34.62 arity_Int__Oint__Groups_Oab__group__add,
% 225.10/34.62 arity_Int__Oint__Groups_Oab__semigroup__add,
% 225.10/34.62 arity_Int__Oint__Groups_Oab__semigroup__mult,
% 225.10/34.62 arity_Int__Oint__Groups_Ocancel__ab__semigroup__add,
% 225.10/34.62 arity_Int__Oint__Groups_Ocancel__comm__monoid__add,
% 225.10/34.62 arity_Int__Oint__Groups_Ocancel__semigroup__add,
% 225.10/34.62 arity_Int__Oint__Groups_Ocomm__monoid__add,
% 225.10/34.62 arity_Int__Oint__Groups_Ocomm__monoid__mult,
% 225.10/34.62 arity_Int__Oint__Groups_Ogroup__add,
% 225.10/34.62 arity_Int__Oint__Groups_Olinordered__ab__group__add,
% 225.10/34.62 arity_Int__Oint__Groups_Ominus, arity_Int__Oint__Groups_Omonoid__add,
% 225.10/34.62 arity_Int__Oint__Groups_Omonoid__mult, arity_Int__Oint__Groups_Oone,
% 225.10/34.62 arity_Int__Oint__Groups_Oordered__ab__group__add,
% 225.10/34.62 arity_Int__Oint__Groups_Oordered__ab__semigroup__add,
% 225.10/34.62 arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le,
% 225.10/34.62 arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add,
% 225.10/34.62 arity_Int__Oint__Groups_Oordered__comm__monoid__add,
% 225.10/34.62 arity_Int__Oint__Groups_Osgn__if, arity_Int__Oint__Groups_Ouminus,
% 225.10/34.62 arity_Int__Oint__Groups_Ozero, arity_Int__Oint__Int_Oring__char__0,
% 225.10/34.62 arity_Int__Oint__Orderings_Olinorder, arity_Int__Oint__Orderings_Oord,
% 225.10/34.62 arity_Int__Oint__Orderings_Oorder, arity_Int__Oint__Orderings_Opreorder,
% 225.10/34.62 arity_Int__Oint__Power_Opower, arity_Int__Oint__Rings_Ocomm__ring,
% 225.10/34.62 arity_Int__Oint__Rings_Ocomm__ring__1, arity_Int__Oint__Rings_Ocomm__semiring,
% 225.10/34.62 arity_Int__Oint__Rings_Ocomm__semiring__0,
% 225.10/34.62 arity_Int__Oint__Rings_Ocomm__semiring__1, arity_Int__Oint__Rings_Odvd,
% 225.10/34.62 arity_Int__Oint__Rings_Oidom,
% 225.10/34.62 arity_Int__Oint__Rings_Olinordered__comm__semiring__strict,
% 225.10/34.62 arity_Int__Oint__Rings_Olinordered__idom,
% 225.10/34.62 arity_Int__Oint__Rings_Olinordered__ring,
% 225.10/34.62 arity_Int__Oint__Rings_Olinordered__ring__strict,
% 225.10/34.62 arity_Int__Oint__Rings_Olinordered__semidom,
% 225.10/34.62 arity_Int__Oint__Rings_Olinordered__semiring,
% 225.10/34.62 arity_Int__Oint__Rings_Olinordered__semiring__1,
% 225.10/34.62 arity_Int__Oint__Rings_Olinordered__semiring__1__strict,
% 225.10/34.62 arity_Int__Oint__Rings_Olinordered__semiring__strict,
% 225.10/34.62 arity_Int__Oint__Rings_Omult__zero, arity_Int__Oint__Rings_Ono__zero__divisors,
% 225.10/34.62 arity_Int__Oint__Rings_Oordered__cancel__semiring,
% 225.10/34.62 arity_Int__Oint__Rings_Oordered__comm__semiring,
% 225.10/34.62 arity_Int__Oint__Rings_Oordered__ring,
% 225.10/34.62 arity_Int__Oint__Rings_Oordered__semiring, arity_Int__Oint__Rings_Oring,
% 225.10/34.62 arity_Int__Oint__Rings_Oring__1,
% 225.10/34.62 arity_Int__Oint__Rings_Oring__1__no__zero__divisors,
% 225.10/34.62 arity_Int__Oint__Rings_Oring__no__zero__divisors,
% 225.10/34.62 arity_Int__Oint__Rings_Osemiring, arity_Int__Oint__Rings_Osemiring__0,
% 225.10/34.62 arity_Int__Oint__Rings_Ozero__neq__one,
% 225.10/34.62 arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,
% 225.10/34.62 arity_Nat__Onat__Groups_Oab__semigroup__add,
% 225.10/34.62 arity_Nat__Onat__Groups_Oab__semigroup__mult,
% 225.10/34.62 arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add,
% 225.10/34.62 arity_Nat__Onat__Groups_Ocancel__comm__monoid__add,
% 225.10/34.62 arity_Nat__Onat__Groups_Ocancel__semigroup__add,
% 225.10/34.62 arity_Nat__Onat__Groups_Ocomm__monoid__add,
% 225.10/34.62 arity_Nat__Onat__Groups_Ocomm__monoid__mult, arity_Nat__Onat__Groups_Ominus,
% 225.10/34.62 arity_Nat__Onat__Groups_Omonoid__add, arity_Nat__Onat__Groups_Omonoid__mult,
% 225.10/34.62 arity_Nat__Onat__Groups_Oone,
% 225.10/34.62 arity_Nat__Onat__Groups_Oordered__ab__semigroup__add,
% 225.10/34.62 arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le,
% 225.10/34.62 arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add,
% 225.10/34.62 arity_Nat__Onat__Groups_Oordered__comm__monoid__add,
% 225.10/34.62 arity_Nat__Onat__Groups_Ozero, arity_Nat__Onat__Orderings_Olinorder,
% 225.10/34.62 arity_Nat__Onat__Orderings_Oord, arity_Nat__Onat__Orderings_Oorder,
% 225.10/34.62 arity_Nat__Onat__Orderings_Opreorder, arity_Nat__Onat__Power_Opower,
% 225.10/34.62 arity_Nat__Onat__Rings_Ocomm__semiring,
% 225.10/34.62 arity_Nat__Onat__Rings_Ocomm__semiring__0,
% 225.10/34.62 arity_Nat__Onat__Rings_Ocomm__semiring__1, arity_Nat__Onat__Rings_Odvd,
% 225.10/34.62 arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict,
% 225.10/34.62 arity_Nat__Onat__Rings_Olinordered__semidom,
% 225.10/34.62 arity_Nat__Onat__Rings_Olinordered__semiring,
% 225.10/34.62 arity_Nat__Onat__Rings_Olinordered__semiring__strict,
% 225.10/34.62 arity_Nat__Onat__Rings_Omult__zero, arity_Nat__Onat__Rings_Ono__zero__divisors,
% 225.10/34.62 arity_Nat__Onat__Rings_Oordered__cancel__semiring,
% 225.10/34.62 arity_Nat__Onat__Rings_Oordered__comm__semiring,
% 225.10/34.62 arity_Nat__Onat__Rings_Oordered__semiring, arity_Nat__Onat__Rings_Osemiring,
% 225.10/34.62 arity_Nat__Onat__Rings_Osemiring__0, arity_Nat__Onat__Rings_Ozero__neq__one,
% 225.10/34.62 arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,
% 225.10/34.62 arity_Polynomial__Opoly__Groups_Oab__group__add,
% 225.10/34.62 arity_Polynomial__Opoly__Groups_Oab__semigroup__add,
% 225.10/34.62 arity_Polynomial__Opoly__Groups_Oab__semigroup__mult,
% 225.10/34.62 arity_Polynomial__Opoly__Groups_Ocancel__ab__semigroup__add,
% 225.10/34.62 arity_Polynomial__Opoly__Groups_Ocancel__comm__monoid__add,
% 225.10/34.62 arity_Polynomial__Opoly__Groups_Ocancel__semigroup__add,
% 225.10/34.62 arity_Polynomial__Opoly__Groups_Ocomm__monoid__add,
% 225.10/34.62 arity_Polynomial__Opoly__Groups_Ocomm__monoid__mult,
% 225.10/34.62 arity_Polynomial__Opoly__Groups_Ogroup__add,
% 225.10/34.62 arity_Polynomial__Opoly__Groups_Olinordered__ab__group__add,
% 225.10/34.62 arity_Polynomial__Opoly__Groups_Ominus,
% 225.10/34.62 arity_Polynomial__Opoly__Groups_Omonoid__add,
% 225.10/34.62 arity_Polynomial__Opoly__Groups_Omonoid__mult,
% 225.10/34.62 arity_Polynomial__Opoly__Groups_Oone,
% 225.10/34.62 arity_Polynomial__Opoly__Groups_Oordered__ab__group__add,
% 225.10/34.62 arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add,
% 225.10/34.62 arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add__imp__le,
% 225.10/34.62 arity_Polynomial__Opoly__Groups_Oordered__cancel__ab__semigroup__add,
% 225.10/34.62 arity_Polynomial__Opoly__Groups_Oordered__comm__monoid__add,
% 225.10/34.62 arity_Polynomial__Opoly__Groups_Osgn__if,
% 225.10/34.62 arity_Polynomial__Opoly__Groups_Ouminus, arity_Polynomial__Opoly__Groups_Ozero,
% 225.10/34.62 arity_Polynomial__Opoly__Int_Oring__char__0,
% 225.10/34.62 arity_Polynomial__Opoly__Orderings_Olinorder,
% 225.10/34.62 arity_Polynomial__Opoly__Orderings_Oord,
% 225.10/34.62 arity_Polynomial__Opoly__Orderings_Oorder,
% 225.10/34.62 arity_Polynomial__Opoly__Orderings_Opreorder,
% 225.10/34.62 arity_Polynomial__Opoly__Power_Opower,
% 225.10/34.62 arity_Polynomial__Opoly__Rings_Ocomm__ring,
% 225.10/34.62 arity_Polynomial__Opoly__Rings_Ocomm__ring__1,
% 225.10/34.62 arity_Polynomial__Opoly__Rings_Ocomm__semiring,
% 225.10/34.62 arity_Polynomial__Opoly__Rings_Ocomm__semiring__0,
% 225.10/34.62 arity_Polynomial__Opoly__Rings_Ocomm__semiring__1,
% 225.10/34.62 arity_Polynomial__Opoly__Rings_Odvd, arity_Polynomial__Opoly__Rings_Oidom,
% 225.10/34.62 arity_Polynomial__Opoly__Rings_Olinordered__comm__semiring__strict,
% 225.10/34.62 arity_Polynomial__Opoly__Rings_Olinordered__idom,
% 225.10/34.62 arity_Polynomial__Opoly__Rings_Olinordered__ring,
% 225.10/34.62 arity_Polynomial__Opoly__Rings_Olinordered__ring__strict,
% 225.10/34.62 arity_Polynomial__Opoly__Rings_Olinordered__semidom,
% 225.10/34.62 arity_Polynomial__Opoly__Rings_Olinordered__semiring,
% 225.10/34.62 arity_Polynomial__Opoly__Rings_Olinordered__semiring__1,
% 225.10/34.62 arity_Polynomial__Opoly__Rings_Olinordered__semiring__1__strict,
% 225.10/34.62 arity_Polynomial__Opoly__Rings_Olinordered__semiring__strict,
% 225.10/34.62 arity_Polynomial__Opoly__Rings_Omult__zero,
% 225.10/34.62 arity_Polynomial__Opoly__Rings_Ono__zero__divisors,
% 225.10/34.62 arity_Polynomial__Opoly__Rings_Oordered__cancel__semiring,
% 225.10/34.62 arity_Polynomial__Opoly__Rings_Oordered__comm__semiring,
% 225.10/34.62 arity_Polynomial__Opoly__Rings_Oordered__ring,
% 225.10/34.62 arity_Polynomial__Opoly__Rings_Oordered__semiring,
% 225.10/34.62 arity_Polynomial__Opoly__Rings_Oring, arity_Polynomial__Opoly__Rings_Oring__1,
% 225.10/34.62 arity_Polynomial__Opoly__Rings_Oring__1__no__zero__divisors,
% 225.10/34.62 arity_Polynomial__Opoly__Rings_Oring__no__zero__divisors,
% 225.10/34.62 arity_Polynomial__Opoly__Rings_Osemiring,
% 225.10/34.62 arity_Polynomial__Opoly__Rings_Osemiring__0,
% 225.10/34.62 arity_Polynomial__Opoly__Rings_Ozero__neq__one,
% 225.10/34.62 arity_Polynomial__Opoly__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,
% 225.10/34.62 arity_RealDef__Oreal__Fields_Ofield,
% 225.10/34.62 arity_RealDef__Oreal__Fields_Ofield__inverse__zero,
% 225.10/34.62 arity_RealDef__Oreal__Groups_Oab__group__add,
% 225.10/34.62 arity_RealDef__Oreal__Groups_Oab__semigroup__add,
% 225.10/34.62 arity_RealDef__Oreal__Groups_Oab__semigroup__mult,
% 225.10/34.62 arity_RealDef__Oreal__Groups_Ocancel__ab__semigroup__add,
% 225.10/34.62 arity_RealDef__Oreal__Groups_Ocancel__comm__monoid__add,
% 225.10/34.62 arity_RealDef__Oreal__Groups_Ocancel__semigroup__add,
% 225.10/34.62 arity_RealDef__Oreal__Groups_Ocomm__monoid__add,
% 225.10/34.62 arity_RealDef__Oreal__Groups_Ocomm__monoid__mult,
% 225.10/34.62 arity_RealDef__Oreal__Groups_Olinordered__ab__group__add,
% 225.10/34.62 arity_RealDef__Oreal__Groups_Ominus, arity_RealDef__Oreal__Groups_Omonoid__add,
% 225.10/34.62 arity_RealDef__Oreal__Groups_Omonoid__mult, arity_RealDef__Oreal__Groups_Oone,
% 225.10/34.62 arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add,
% 225.10/34.62 arity_RealDef__Oreal__Groups_Oordered__ab__semigroup__add__imp__le,
% 225.10/34.62 arity_RealDef__Oreal__Groups_Oordered__cancel__ab__semigroup__add,
% 225.10/34.62 arity_RealDef__Oreal__Groups_Oordered__comm__monoid__add,
% 225.10/34.62 arity_RealDef__Oreal__Groups_Osgn__if, arity_RealDef__Oreal__Groups_Ouminus,
% 225.10/34.62 arity_RealDef__Oreal__Groups_Ozero, arity_RealDef__Oreal__Int_Oring__char__0,
% 225.10/34.62 arity_RealDef__Oreal__Orderings_Olinorder, arity_RealDef__Oreal__Orderings_Oord,
% 225.10/34.62 arity_RealDef__Oreal__Orderings_Oorder,
% 225.10/34.62 arity_RealDef__Oreal__Orderings_Opreorder,
% 225.10/34.62 arity_RealDef__Oreal__RealVector_Oreal__normed__algebra,
% 225.10/34.62 arity_RealDef__Oreal__RealVector_Oreal__normed__algebra__1,
% 225.10/34.62 arity_RealDef__Oreal__RealVector_Oreal__normed__div__algebra,
% 225.10/34.62 arity_RealDef__Oreal__RealVector_Oreal__normed__vector,
% 225.10/34.62 arity_RealDef__Oreal__Rings_Ocomm__ring,
% 225.10/34.62 arity_RealDef__Oreal__Rings_Ocomm__ring__1,
% 225.10/34.62 arity_RealDef__Oreal__Rings_Ocomm__semiring,
% 225.10/34.62 arity_RealDef__Oreal__Rings_Ocomm__semiring__0,
% 225.10/34.62 arity_RealDef__Oreal__Rings_Ocomm__semiring__1,
% 225.10/34.62 arity_RealDef__Oreal__Rings_Odvd, arity_RealDef__Oreal__Rings_Oidom,
% 225.10/34.62 arity_RealDef__Oreal__Rings_Olinordered__comm__semiring__strict,
% 225.10/34.62 arity_RealDef__Oreal__Rings_Olinordered__idom,
% 225.10/34.62 arity_RealDef__Oreal__Rings_Olinordered__ring,
% 225.10/34.62 arity_RealDef__Oreal__Rings_Olinordered__semiring,
% 225.10/34.62 arity_RealDef__Oreal__Rings_Olinordered__semiring__1,
% 225.10/34.62 arity_RealDef__Oreal__Rings_Olinordered__semiring__1__strict,
% 225.10/34.62 arity_RealDef__Oreal__Rings_Oordered__comm__semiring,
% 225.10/34.62 arity_RealDef__Oreal__Rings_Oordered__semiring,
% 225.10/34.62 arity_RealDef__Oreal__Rings_Oring, arity_RealDef__Oreal__Rings_Oring__1,
% 225.10/34.62 arity_RealDef__Oreal__Rings_Osemiring, arity_RealDef__Oreal__Rings_Osemiring__0,
% 225.10/34.62 arity_RealDef__Oreal__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct,
% 225.10/34.62 arity_fun__Groups_Ominus, arity_fun__Groups_Ouminus,
% 225.10/34.62 arity_fun__Lattices_Oboolean__algebra, arity_fun__Orderings_Oord,
% 225.10/34.62 arity_fun__Orderings_Oorder, arity_fun__Orderings_Opreorder,
% 225.10/34.62 fact_Deriv_Oadd__diff__add, fact_Deriv_Oinverse__diff__inverse,
% 225.10/34.62 fact_Limits_Ominus__diff__minus, fact_Nat_Oadd__0__right,
% 225.10/34.62 fact_Nat_Odiff__diff__eq,
% 225.10/34.62 fact_Nat__Transfer_Otransfer__nat__int__function__closures_I1_J,
% 225.10/34.62 fact_Nat__Transfer_Otransfer__nat__int__function__closures_I2_J,
% 225.10/34.62 fact_Nat__Transfer_Otransfer__nat__int__function__closures_I3_J,
% 225.10/34.62 fact_Nat__Transfer_Otransfer__nat__int__function__closures_I4_J,
% 225.10/34.62 fact_Nat__Transfer_Otransfer__nat__int__function__closures_I5_J,
% 225.10/34.62 fact_Nat__Transfer_Otransfer__nat__int__function__closures_I6_J,
% 225.10/34.62 fact_Suc__diff__diff, fact_Suc__diff__le, fact_Suc__inject, fact_Suc__leD,
% 225.10/34.62 fact_Suc__leI, fact_Suc__le__eq, fact_Suc__le__lessD, fact_Suc__le__mono,
% 225.10/34.62 fact_Suc__lessD, fact_Suc__lessI, fact_Suc__less__SucD, fact_Suc__less__eq,
% 225.10/34.62 fact_Suc__mono, fact_Suc__mult__cancel1, fact_Suc__mult__le__cancel1,
% 225.10/34.62 fact_Suc__mult__less__cancel1, fact_Suc__n__not__le__n, fact_Suc__n__not__n,
% 225.10/34.62 fact_Suc__neq__Zero, fact_Suc__not__Zero, fact_Zero__neq__Suc,
% 225.10/34.62 fact_Zero__not__Suc, fact_ab__diff__minus, fact_ab__left__minus,
% 225.10/34.62 fact_ab__semigroup__add__class_Oadd__ac_I1_J,
% 225.10/34.62 fact_ab__semigroup__mult__class_Omult__ac_I1_J, fact_add1__zle__eq,
% 225.10/34.62 fact_add_Ocomm__neutral, fact_add__0, fact_add__0__iff, fact_add__0__left,
% 225.10/34.62 fact_add__0__right, fact_add__Suc, fact_add__Suc__right, fact_add__Suc__shift,
% 225.10/34.62 fact_add__diff__assoc, fact_add__diff__assoc2, fact_add__diff__cancel,
% 225.10/34.62 fact_add__diff__inverse, fact_add__eq__0__iff, fact_add__eq__self__zero,
% 225.10/34.62 fact_add__gr__0, fact_add__imp__eq, fact_add__increasing, fact_add__increasing2,
% 225.10/34.62 fact_add__is__0, fact_add__is__1, fact_add__leD1, fact_add__leD2, fact_add__leE,
% 225.10/34.62 fact_add__le__cancel__left, fact_add__le__cancel__right,
% 225.10/34.62 fact_add__le__imp__le__left, fact_add__le__imp__le__right,
% 225.10/34.62 fact_add__le__less__mono, fact_add__le__mono, fact_add__le__mono1,
% 225.10/34.62 fact_add__left__cancel, fact_add__left__imp__eq, fact_add__left__mono,
% 225.10/34.62 fact_add__lessD1, fact_add__less__cancel__left, fact_add__less__cancel__right,
% 225.10/34.62 fact_add__less__imp__less__left, fact_add__less__imp__less__right,
% 225.10/34.62 fact_add__less__le__mono, fact_add__less__mono, fact_add__less__mono1,
% 225.10/34.62 fact_add__minus__cancel, fact_add__mono, fact_add__monom,
% 225.10/34.62 fact_add__mult__distrib, fact_add__mult__distrib2, fact_add__neg__neg,
% 225.10/34.62 fact_add__neg__nonpos, fact_add__nonneg__eq__0__iff, fact_add__nonneg__nonneg,
% 225.10/34.62 fact_add__nonneg__pos, fact_add__nonpos__neg, fact_add__nonpos__nonpos,
% 225.10/34.62 fact_add__pCons, fact_add__poly__code_I1_J, fact_add__poly__code_I2_J,
% 225.10/34.62 fact_add__pos__nonneg, fact_add__pos__pos, fact_add__right__cancel,
% 225.10/34.62 fact_add__right__imp__eq, fact_add__right__mono, fact_add__scale__eq__noteq,
% 225.10/34.62 fact_add__strict__increasing, fact_add__strict__increasing2,
% 225.10/34.62 fact_add__strict__left__mono, fact_add__strict__mono,
% 225.10/34.62 fact_add__strict__right__mono, fact_assms, fact_calculation,
% 225.10/34.62 fact_combine__common__factor, fact_comm__mult__left__mono,
% 225.10/34.62 fact_comm__mult__strict__left__mono,
% 225.10/34.62 fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J,
% 225.10/34.62 fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J,
% 225.10/34.62 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J,
% 225.10/34.62 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J,
% 225.10/34.62 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J,
% 225.10/34.62 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J,
% 225.10/34.62 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J,
% 225.10/34.62 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J,
% 225.10/34.62 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J,
% 225.10/34.62 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J,
% 225.10/34.62 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J,
% 225.10/34.62 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J,
% 225.10/34.62 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J,
% 225.10/34.62 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J,
% 225.10/34.62 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J,
% 225.10/34.62 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J,
% 225.10/34.62 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J,
% 225.10/34.62 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J,
% 225.10/34.62 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J,
% 225.10/34.62 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J,
% 225.10/34.62 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J,
% 225.10/34.62 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J,
% 225.10/34.62 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J,
% 225.10/34.62 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J,
% 225.10/34.62 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J,
% 225.10/34.62 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J,
% 225.10/34.62 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J,
% 225.10/34.62 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J,
% 225.10/34.62 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J,
% 225.10/34.62 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J,
% 225.10/34.62 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J,
% 225.10/34.62 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J,
% 225.10/34.62 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J,
% 225.10/34.62 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J,
% 225.10/34.62 fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J,
% 225.10/34.62 fact_comm__semiring__class_Odistrib, fact_compl__eq__compl__iff,
% 225.10/34.62 fact_compl__le__compl__iff, fact_compl__mono, fact_complex__diff__def,
% 225.10/34.62 fact_complex__mod__minus__le__complex__mod, fact_complex__mod__triangle__ineq2,
% 225.10/34.62 fact_complex__mod__triangle__sub, fact_constant__def, fact_convex__bound__le,
% 225.10/34.62 fact_convex__bound__lt, fact_crossproduct__eq, fact_crossproduct__noteq,
% 225.10/34.62 fact_decseq__def, fact_diff__0, fact_diff__0__eq__0, fact_diff__0__right,
% 225.10/34.62 fact_diff__Suc__Suc, fact_diff__add__0, fact_diff__add__assoc,
% 225.10/34.62 fact_diff__add__assoc2, fact_diff__add__cancel, fact_diff__add__inverse,
% 225.10/34.62 fact_diff__add__inverse2, fact_diff__cancel, fact_diff__cancel2,
% 225.10/34.62 fact_diff__commute, fact_diff__def, fact_diff__diff__cancel,
% 225.10/34.62 fact_diff__diff__left, fact_diff__diff__right, fact_diff__eq__diff__eq,
% 225.10/34.62 fact_diff__eq__diff__less, fact_diff__eq__diff__less__eq, fact_diff__int__def,
% 225.10/34.62 fact_diff__int__def__symmetric, fact_diff__is__0__eq, fact_diff__is__0__eq_H,
% 225.10/34.62 fact_diff__le__mono, fact_diff__le__mono2, fact_diff__le__self, fact_diff__less,
% 225.10/34.62 fact_diff__less__Suc, fact_diff__less__mono, fact_diff__less__mono2,
% 225.10/34.62 fact_diff__minus__eq__add, fact_diff__monom, fact_diff__mult__distrib,
% 225.10/34.62 fact_diff__mult__distrib2, fact_diff__pCons, fact_diff__poly__code_I1_J,
% 225.10/34.62 fact_diff__poly__code_I2_J, fact_diff__self, fact_diff__self__eq__0,
% 225.10/34.62 fact_diffs0__imp__equal, fact_division__ring__inverse__add,
% 225.10/34.62 fact_division__ring__inverse__diff,
% 225.10/34.62 fact_double__add__le__zero__iff__single__add__le__zero,
% 225.10/34.62 fact_double__add__less__zero__iff__single__add__less__zero, fact_double__compl,
% 225.10/34.62 fact_double__eq__0__iff, fact_double__zero__sym, fact_dvdI, fact_dvd_Oantisym,
% 225.10/34.62 fact_dvd_Oantisym__conv, fact_dvd_Oeq__iff, fact_dvd_Oeq__refl,
% 225.10/34.62 fact_dvd_Ole__imp__less__or__eq, fact_dvd_Ole__less, fact_dvd_Ole__less__trans,
% 225.10/34.62 fact_dvd_Ole__neq__trans, fact_dvd_Oless__asym, fact_dvd_Oless__asym_H,
% 225.10/34.62 fact_dvd_Oless__imp__le, fact_dvd_Oless__imp__neq, fact_dvd_Oless__imp__not__eq,
% 225.10/34.62 fact_dvd_Oless__imp__not__eq2, fact_dvd_Oless__imp__not__less,
% 225.10/34.62 fact_dvd_Oless__le, fact_dvd_Oless__le__trans, fact_dvd_Oless__not__sym,
% 225.10/34.62 fact_dvd_Oless__trans, fact_dvd_Oneq__le__trans, fact_dvd_Oord__eq__le__trans,
% 225.10/34.62 fact_dvd_Oord__eq__less__trans, fact_dvd_Oord__le__eq__trans,
% 225.10/34.62 fact_dvd_Oord__less__eq__trans, fact_dvd_Oorder__refl, fact_dvd_Oorder__trans,
% 225.10/34.62 fact_dvd__0__left, fact_dvd__0__right, fact_dvd__1__iff__1, fact_dvd__1__left,
% 225.10/34.62 fact_dvd__add, fact_dvd__antisym, fact_dvd__diff, fact_dvd__diffD,
% 225.10/34.62 fact_dvd__diffD1, fact_dvd__diff__nat, fact_dvd__iff__poly__eq__0,
% 225.10/34.62 fact_dvd__imp__le, fact_dvd__minus__iff, fact_dvd__mult, fact_dvd__mult2,
% 225.10/34.62 fact_dvd__mult__cancel, fact_dvd__mult__cancel__left,
% 225.10/34.62 fact_dvd__mult__cancel__right, fact_dvd__mult__left, fact_dvd__mult__right,
% 225.10/34.62 fact_dvd__power, fact_dvd__power__le, fact_dvd__power__same, fact_dvd__reduce,
% 225.10/34.62 fact_dvd__refl, fact_dvd__smult, fact_dvd__smult__cancel, fact_dvd__smult__iff,
% 225.10/34.62 fact_dvd__trans, fact_dvd__triv__left, fact_dvd__triv__right,
% 225.10/34.62 fact_eq__add__iff1, fact_eq__add__iff2, fact_eq__diff__iff,
% 225.10/34.62 fact_eq__iff__diff__eq__0, fact_eq__imp__le, fact_eq__neg__iff__add__eq__0,
% 225.10/34.62 fact_equal__neg__zero, fact_equation__minus__iff, fact_even__less__0__iff,
% 225.10/34.62 fact_ext, fact_field__inverse, fact_field__inverse__zero, fact_gr0I,
% 225.10/34.62 fact_gr0__conv__Suc, fact_gr__implies__not0, fact_inf__period_I3_J,
% 225.10/34.62 fact_inf__period_I4_J, fact_int__0__less__1, fact_int__0__neq__1,
% 225.10/34.62 fact_int__one__le__iff__zero__less, fact_inverse__1, fact_inverse__add,
% 225.10/34.62 fact_inverse__eq__1__iff, fact_inverse__eq__iff__eq, fact_inverse__eq__imp__eq,
% 225.10/34.62 fact_inverse__inverse__eq, fact_inverse__le__1__iff, fact_inverse__le__imp__le,
% 225.10/34.62 fact_inverse__le__imp__le__neg, fact_inverse__less__1__iff,
% 225.10/34.62 fact_inverse__less__imp__less, fact_inverse__less__imp__less__neg,
% 225.10/34.62 fact_inverse__minus__eq, fact_inverse__mult__distrib,
% 225.10/34.62 fact_inverse__positive__imp__positive, fact_inverse__unique, fact_inverse__zero,
% 225.10/34.62 fact_kas_I2_J, fact_le0, fact_leD, fact_leI, fact_le__0__eq, fact_le__SucE,
% 225.10/34.62 fact_le__SucI, fact_le__Suc__eq, fact_le__Suc__ex__iff, fact_le__add1,
% 225.10/34.62 fact_le__add2, fact_le__add__diff, fact_le__add__diff__inverse,
% 225.10/34.62 fact_le__add__diff__inverse2, fact_le__add__iff1, fact_le__add__iff2,
% 225.10/34.62 fact_le__antisym, fact_le__cube, fact_le__diff__conv, fact_le__diff__conv2,
% 225.10/34.62 fact_le__diff__iff, fact_le__eq__less__or__eq, fact_le__funD, fact_le__funE,
% 225.10/34.62 fact_le__fun__def, fact_le__iff__add, fact_le__iff__diff__le__0,
% 225.10/34.62 fact_le__imp__0__less, fact_le__imp__diff__is__add, fact_le__imp__inverse__le,
% 225.10/34.62 fact_le__imp__inverse__le__neg, fact_le__imp__less__Suc, fact_le__imp__neg__le,
% 225.10/34.62 fact_le__imp__power__dvd, fact_le__less__Suc__eq, fact_le__minus__iff,
% 225.10/34.62 fact_le__minus__self__iff, fact_le__neq__implies__less, fact_le__refl,
% 225.10/34.62 fact_le__square, fact_le__trans, fact_left__add__mult__distrib,
% 225.10/34.62 fact_left__inverse, fact_left__minus, fact_lessI, fact_less__1__mult,
% 225.10/34.62 fact_less__Suc0, fact_less__SucE, fact_less__SucI, fact_less__Suc__eq,
% 225.10/34.62 fact_less__Suc__eq__0__disj, fact_less__Suc__eq__le, fact_less__add__Suc1,
% 225.10/34.62 fact_less__add__Suc2, fact_less__add__eq__less, fact_less__add__iff1,
% 225.10/34.62 fact_less__add__iff2, fact_less__add__one, fact_less__antisym,
% 225.10/34.62 fact_less__bin__lemma, fact_less__diff__conv, fact_less__diff__iff,
% 225.10/34.62 fact_less__eq__Suc__le, fact_less__eq__nat_Osimps_I1_J,
% 225.10/34.62 fact_less__eq__poly__def, fact_less__eq__real__def, fact_less__fun__def,
% 225.10/34.62 fact_less__iff__Suc__add, fact_less__iff__diff__less__0,
% 225.10/34.62 fact_less__imp__diff__less, fact_less__imp__inverse__less,
% 225.10/34.62 fact_less__imp__inverse__less__neg, fact_less__imp__le__nat,
% 225.10/34.62 fact_less__imp__neq, fact_less__irrefl__nat, fact_less__le__not__le,
% 225.10/34.62 fact_less__minus__iff, fact_less__minus__self__iff, fact_less__nat__zero__code,
% 225.10/34.62 fact_less__not__refl, fact_less__not__refl2, fact_less__not__refl3,
% 225.10/34.62 fact_less__or__eq__imp__le, fact_less__poly__def, fact_less__trans__Suc,
% 225.10/34.62 fact_less__zeroE, fact_linorder__antisym__conv1, fact_linorder__antisym__conv2,
% 225.10/34.62 fact_linorder__antisym__conv3, fact_linorder__cases, fact_linorder__le__cases,
% 225.10/34.62 fact_linorder__le__less__linear, fact_linorder__less__linear,
% 225.10/34.62 fact_linorder__linear, fact_linorder__neqE,
% 225.10/34.62 fact_linorder__neqE__linordered__idom, fact_linorder__neqE__nat,
% 225.10/34.62 fact_linorder__neq__iff, fact_linorder__not__le, fact_linorder__not__less,
% 225.10/34.62 fact_minus__add, fact_minus__add__cancel, fact_minus__add__distrib,
% 225.10/34.62 fact_minus__apply, fact_minus__diff__eq, fact_minus__dvd__iff,
% 225.10/34.62 fact_minus__equation__iff, fact_minus__le__iff, fact_minus__le__self__iff,
% 225.10/34.62 fact_minus__less__iff, fact_minus__minus, fact_minus__monom,
% 225.10/34.62 fact_minus__mult__commute, fact_minus__mult__left, fact_minus__mult__minus,
% 225.10/34.62 fact_minus__mult__right, fact_minus__nat_Odiff__0, fact_minus__pCons,
% 225.10/34.62 fact_minus__poly__code_I1_J, fact_minus__poly__code_I2_J, fact_minus__real__def,
% 225.10/34.62 fact_minus__unique, fact_minus__zero, fact_monom__0, fact_monom__eq__0,
% 225.10/34.62 fact_monom__eq__0__iff, fact_monom__eq__iff, fact_mult_Oadd__left,
% 225.10/34.62 fact_mult_Oadd__right, fact_mult_Ocomm__neutral, fact_mult_Odiff__left,
% 225.10/34.62 fact_mult_Odiff__right, fact_mult_Ominus__left, fact_mult_Ominus__right,
% 225.10/34.62 fact_mult_Oprod__diff__prod, fact_mult_Ozero__left, fact_mult_Ozero__right,
% 225.10/34.62 fact_mult__0, fact_mult__0__right, fact_mult__1, fact_mult__1__left,
% 225.10/34.62 fact_mult__1__right, fact_mult__Suc, fact_mult__Suc__right, fact_mult__cancel1,
% 225.10/34.62 fact_mult__cancel2, fact_mult__diff__mult, fact_mult__dvd__mono,
% 225.10/34.62 fact_mult__eq__1__iff, fact_mult__idem, fact_mult__is__0,
% 225.10/34.62 fact_mult__le__cancel1, fact_mult__le__cancel2,
% 225.10/34.62 fact_mult__le__cancel__left__neg, fact_mult__le__cancel__left__pos,
% 225.10/34.62 fact_mult__le__less__imp__less, fact_mult__le__mono, fact_mult__le__mono1,
% 225.10/34.62 fact_mult__le__mono2, fact_mult__left_Oadd, fact_mult__left_Odiff,
% 225.10/34.62 fact_mult__left_Ominus, fact_mult__left_Ozero, fact_mult__left__idem,
% 225.10/34.62 fact_mult__left__le__imp__le, fact_mult__left__le__one__le,
% 225.10/34.62 fact_mult__left__less__imp__less, fact_mult__left__mono,
% 225.10/34.62 fact_mult__left__mono__neg, fact_mult__less__cancel1, fact_mult__less__cancel2,
% 225.10/34.62 fact_mult__less__cancel__left__disj, fact_mult__less__cancel__left__neg,
% 225.10/34.62 fact_mult__less__cancel__left__pos, fact_mult__less__cancel__right__disj,
% 225.10/34.62 fact_mult__less__imp__less__left, fact_mult__less__imp__less__right,
% 225.10/34.62 fact_mult__less__le__imp__less, fact_mult__less__mono1, fact_mult__less__mono2,
% 225.10/34.62 fact_mult__mono, fact_mult__mono_H, fact_mult__monom, fact_mult__neg__pos,
% 225.10/34.62 fact_mult__nonpos__nonneg, fact_mult__pCons__left, fact_mult__pCons__right,
% 225.10/34.62 fact_mult__poly__0__left, fact_mult__poly__0__right, fact_mult__poly__add__left,
% 225.10/34.62 fact_mult__right_Oadd, fact_mult__right_Odiff, fact_mult__right_Ominus,
% 225.10/34.62 fact_mult__right_Ozero, fact_mult__right__le__imp__le,
% 225.10/34.62 fact_mult__right__le__one__le, fact_mult__right__less__imp__less,
% 225.10/34.62 fact_mult__right__mono, fact_mult__right__mono__neg, fact_mult__smult__left,
% 225.10/34.62 fact_mult__smult__right, fact_mult__strict__left__mono,
% 225.10/34.62 fact_mult__strict__left__mono__neg, fact_mult__strict__mono,
% 225.10/34.62 fact_mult__strict__mono_H, fact_mult__strict__right__mono,
% 225.10/34.62 fact_mult__strict__right__mono__neg, fact_mult__zero__left,
% 225.10/34.62 fact_mult__zero__right, fact_n__less__m__mult__n, fact_n__less__n__mult__m,
% 225.10/34.62 fact_n__not__Suc__n, fact_nat_Oinject, fact_nat_Osimps_I2_J,
% 225.10/34.62 fact_nat_Osimps_I3_J, fact_nat__0__less__mult__iff, fact_nat__add__assoc,
% 225.10/34.62 fact_nat__add__commute, fact_nat__add__left__cancel,
% 225.10/34.62 fact_nat__add__left__cancel__le, fact_nat__add__left__cancel__less,
% 225.10/34.62 fact_nat__add__left__commute, fact_nat__add__right__cancel,
% 225.10/34.62 fact_nat__diff__add__eq1, fact_nat__diff__add__eq2, fact_nat__diff__split,
% 225.10/34.62 fact_nat__diff__split__asm, fact_nat__dvd__not__less, fact_nat__eq__add__iff1,
% 225.10/34.62 fact_nat__eq__add__iff2, fact_nat__le__add__iff1, fact_nat__le__add__iff2,
% 225.10/34.62 fact_nat__le__linear, fact_nat__less__add__iff1, fact_nat__less__add__iff2,
% 225.10/34.62 fact_nat__less__cases, fact_nat__less__le,
% 225.10/34.62 fact_nat__lt__two__imp__zero__or__one, fact_nat__mult__assoc,
% 225.10/34.62 fact_nat__mult__commute, fact_nat__mult__dvd__cancel1,
% 225.10/34.62 fact_nat__mult__dvd__cancel__disj, fact_nat__mult__eq__cancel1,
% 225.10/34.62 fact_nat__mult__eq__cancel__disj, fact_nat__mult__le__cancel1,
% 225.10/34.62 fact_nat__mult__less__cancel1, fact_nat__neq__iff,
% 225.10/34.62 fact_nat__power__eq__Suc__0__iff, fact_nat__power__less__imp__less,
% 225.10/34.62 fact_nat__zero__less__power__iff, fact_neg__equal__iff__equal,
% 225.10/34.62 fact_neg__equal__zero, fact_neg__le__iff__le, fact_neg__less__iff__less,
% 225.10/34.62 fact_neg__less__nonneg, fact_neq0__conv, fact_nonzero__inverse__eq__imp__eq,
% 225.10/34.62 fact_nonzero__inverse__inverse__eq, fact_nonzero__inverse__minus__eq,
% 225.10/34.62 fact_nonzero__inverse__mult__distrib, fact_nonzero__norm__inverse,
% 225.10/34.62 fact_nonzero__power__inverse, fact_norm__add__less, fact_norm__diff__ineq,
% 225.10/34.62 fact_norm__diff__triangle__ineq, fact_norm__inverse, fact_norm__minus__cancel,
% 225.10/34.62 fact_norm__minus__commute, fact_norm__triangle__ineq,
% 225.10/34.62 fact_norm__triangle__ineq2, fact_norm__triangle__ineq4, fact_not__add__less1,
% 225.10/34.62 fact_not__add__less2, fact_not__leE, fact_not__less0, fact_not__less__eq,
% 225.10/34.62 fact_not__less__eq__eq, fact_not__less__iff__gr__or__eq,
% 225.10/34.62 fact_not__less__less__Suc__eq, fact_not__pos__poly__0,
% 225.10/34.62 fact_not__square__less__zero, fact_not__sum__squares__lt__zero,
% 225.10/34.62 fact_odd__less__0, fact_odd__nonzero, fact_offset__poly__eq__0__lemma,
% 225.10/34.62 fact_one__dvd, fact_one__is__add, fact_one__le__inverse,
% 225.10/34.62 fact_one__le__inverse__iff, fact_one__le__power, fact_one__less__inverse,
% 225.10/34.62 fact_one__less__inverse__iff, fact_one__less__mult, fact_one__less__power,
% 225.10/34.62 fact_one__poly__def, fact_one__reorient, fact_ord__eq__le__trans,
% 225.10/34.62 fact_ord__eq__less__trans, fact_ord__le__eq__trans, fact_ord__less__eq__trans,
% 225.10/34.62 fact_order, fact_order__1, fact_order__2, fact_order__antisym,
% 225.10/34.62 fact_order__antisym__conv, fact_order__eq__iff, fact_order__eq__refl,
% 225.10/34.62 fact_order__le__imp__less__or__eq, fact_order__le__less,
% 225.10/34.62 fact_order__le__less__trans, fact_order__le__neq__trans, fact_order__less__asym,
% 225.10/34.62 fact_order__less__asym_H, fact_order__less__imp__le,
% 225.10/34.62 fact_order__less__imp__not__eq, fact_order__less__imp__not__eq2,
% 225.10/34.62 fact_order__less__imp__not__less, fact_order__less__irrefl,
% 225.10/34.62 fact_order__less__le, fact_order__less__le__trans, fact_order__less__not__sym,
% 225.10/34.62 fact_order__less__trans, fact_order__neq__le__trans, fact_order__refl,
% 225.10/34.62 fact_order__root, fact_order__trans, fact_pCons__0__0, fact_pCons__eq__0__iff,
% 225.10/34.62 fact_pCons__eq__iff, fact_pcompose__0, fact_pcompose__pCons,
% 225.10/34.62 fact_plus__nat_Oadd__0, fact_poly__0, fact_poly__1, fact_poly__add,
% 225.10/34.62 fact_poly__diff, fact_poly__eq__0__iff__dvd, fact_poly__eq__iff,
% 225.10/34.62 fact_poly__minus, fact_poly__monom, fact_poly__mult, fact_poly__pCons,
% 225.10/34.62 fact_poly__pcompose, fact_poly__power, fact_poly__replicate__append,
% 225.10/34.62 fact_poly__smult, fact_poly__zero, fact_pos__add__strict, fact_pos__poly__add,
% 225.10/34.62 fact_pos__poly__mult, fact_pos__poly__pCons, fact_pos__poly__total,
% 225.10/34.62 fact_pos__zmult__eq__1__iff, fact_power_Opower_Opower__0,
% 225.10/34.62 fact_power_Opower_Opower__Suc, fact_power__0, fact_power__0__Suc,
% 225.10/34.63 fact_power__0__left, fact_power__Suc, fact_power__Suc2, fact_power__Suc__0,
% 225.10/34.63 fact_power__Suc__less, fact_power__add, fact_power__commutes,
% 225.10/34.63 fact_power__decreasing, fact_power__eq__imp__eq__base, fact_power__gt1,
% 225.10/34.63 fact_power__gt1__lemma, fact_power__increasing, fact_power__increasing__iff,
% 225.10/34.63 fact_power__inject__base, fact_power__inject__exp, fact_power__inverse,
% 225.10/34.63 fact_power__le__dvd, fact_power__le__imp__le__base,
% 225.10/34.63 fact_power__le__imp__le__exp, fact_power__less__imp__less__base,
% 225.10/34.63 fact_power__less__imp__less__exp, fact_power__less__power__Suc,
% 225.10/34.63 fact_power__minus, fact_power__mono, fact_power__mult,
% 225.10/34.63 fact_power__mult__distrib, fact_power__one, fact_power__power__power,
% 225.10/34.63 fact_power__strict__decreasing, fact_power__strict__increasing,
% 225.10/34.63 fact_power__strict__increasing__iff, fact_power__strict__mono,
% 225.10/34.63 fact_psize__eq__0__iff, fact_q_I1_J, fact_q__neg__lemma, fact_q__pos__lemma,
% 225.10/34.63 fact_real__add__left__mono, fact_real__diff__def, fact_real__le__antisym,
% 225.10/34.63 fact_real__le__linear, fact_real__le__refl, fact_real__le__trans,
% 225.10/34.63 fact_real__less__def, fact_real__squared__diff__one__factored,
% 225.10/34.63 fact_realpow__two__disj, fact_right__inverse, fact_right__minus,
% 225.10/34.63 fact_right__minus__eq, fact_self__quotient__aux1, fact_self__quotient__aux2,
% 225.10/34.63 fact_sgn0, fact_sgn__0__0, fact_sgn__1__neg, fact_sgn__1__pos,
% 225.10/34.63 fact_sgn__greater, fact_sgn__if, fact_sgn__less, fact_sgn__minus,
% 225.10/34.63 fact_sgn__mult, fact_sgn__neg, fact_sgn__one, fact_sgn__poly__def,
% 225.10/34.63 fact_sgn__pos, fact_sgn__sgn, fact_sgn__times, fact_sgn__zero,
% 225.10/34.63 fact_sgn__zero__iff, fact_smult__0__left, fact_smult__0__right,
% 225.10/34.63 fact_smult__1__left, fact_smult__add__left, fact_smult__add__right,
% 225.10/34.63 fact_smult__diff__left, fact_smult__diff__right, fact_smult__dvd,
% 225.10/34.63 fact_smult__dvd__cancel, fact_smult__dvd__iff, fact_smult__eq__0__iff,
% 225.10/34.63 fact_smult__minus__left, fact_smult__minus__right, fact_smult__monom,
% 225.10/34.63 fact_smult__pCons, fact_smult__smult, fact_square__eq__1__iff,
% 225.10/34.63 fact_square__eq__iff, fact_sum__squares__eq__zero__iff,
% 225.10/34.63 fact_sum__squares__ge__zero, fact_sum__squares__gt__zero__iff,
% 225.10/34.63 fact_sum__squares__le__zero__iff, fact_synthetic__div__0,
% 225.10/34.63 fact_synthetic__div__correct, fact_synthetic__div__correct_H,
% 225.10/34.63 fact_synthetic__div__pCons, fact_synthetic__div__unique,
% 225.10/34.63 fact_synthetic__div__unique__lemma, fact_termination__basic__simps_I1_J,
% 225.10/34.63 fact_termination__basic__simps_I2_J, fact_termination__basic__simps_I3_J,
% 225.10/34.63 fact_termination__basic__simps_I4_J, fact_termination__basic__simps_I5_J,
% 225.10/34.63 fact_times_Oidem, fact_trans__le__add1, fact_trans__le__add2,
% 225.10/34.63 fact_trans__less__add1, fact_trans__less__add2, fact_tsub__def, fact_tsub__eq,
% 225.10/34.63 fact_uminus__apply, fact_uminus__dvd__conv_I1_J, fact_uminus__dvd__conv_I2_J,
% 225.10/34.63 fact_unique__quotient__lemma, fact_unique__quotient__lemma__neg,
% 225.10/34.63 fact_unity__coeff__ex, fact_xt1_I10_J, fact_xt1_I11_J, fact_xt1_I12_J,
% 225.10/34.63 fact_xt1_I1_J, fact_xt1_I2_J, fact_xt1_I3_J, fact_xt1_I4_J, fact_xt1_I5_J,
% 225.10/34.63 fact_xt1_I6_J, fact_xt1_I7_J, fact_xt1_I8_J, fact_xt1_I9_J, fact_zadd__0,
% 225.10/34.63 fact_zadd__0__right, fact_zadd__assoc, fact_zadd__commute,
% 225.10/34.63 fact_zadd__left__commute, fact_zadd__left__mono, fact_zadd__strict__right__mono,
% 225.10/34.63 fact_zadd__zless__mono, fact_zadd__zminus__inverse2, fact_zadd__zmult__distrib,
% 225.10/34.63 fact_zadd__zmult__distrib2, fact_zdiff__zmult__distrib,
% 225.10/34.63 fact_zdiff__zmult__distrib2, fact_zdiv__mono2__lemma,
% 225.10/34.63 fact_zdiv__mono2__neg__lemma, fact_zdvd__antisym__nonneg, fact_zdvd__imp__le,
% 225.10/34.63 fact_zdvd__mono, fact_zdvd__mult__cancel, fact_zdvd__not__zless,
% 225.10/34.63 fact_zdvd__period, fact_zdvd__reduce, fact_zdvd__zdiffD,
% 225.10/34.63 fact_zero__le__double__add__iff__zero__le__single__add, fact_zero__le__square,
% 225.10/34.63 fact_zero__less__Suc, fact_zero__less__diff,
% 225.10/34.63 fact_zero__less__double__add__iff__zero__less__single__add,
% 225.10/34.63 fact_zero__less__mult__pos, fact_zero__less__one,
% 225.10/34.63 fact_zero__less__power__nat__eq, fact_zero__less__two, fact_zero__reorient,
% 225.10/34.63 fact_zle__add1__eq__le, fact_zle__antisym, fact_zle__diff1__eq,
% 225.10/34.63 fact_zle__linear, fact_zle__refl, fact_zle__trans, fact_zless__add1__eq,
% 225.10/34.63 fact_zless__imp__add1__zle, fact_zless__le, fact_zless__linear, fact_zminus__0,
% 225.10/34.63 fact_zminus__zadd__distrib, fact_zminus__zminus, fact_zmult__1,
% 225.10/34.63 fact_zmult__1__right, fact_zmult__assoc, fact_zmult__commute,
% 225.10/34.63 fact_zmult__zless__mono2, fact_zmult__zminus, fact_zpower__zadd__distrib,
% 225.10/34.63 fact_zpower__zpower, fact_zsgn__def
% 225.10/34.63
% 225.10/34.63 Those formulas are unsatisfiable:
% 225.10/34.63 ---------------------------------
% 225.10/34.63
% 225.10/34.63 Begin of proof
% 225.10/34.63 |
% 225.10/34.63 | ALPHA: (fact_m_I1_J) implies:
% 225.10/34.63 | (1) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 225.10/34.63 | $i(v0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 225.10/34.63 | v_m____))
% 225.10/34.63 |
% 225.10/34.63 | ALPHA: (fact_w0) implies:
% 225.10/34.63 | (2) ? [v0: $i] : ( ~ (v0 = v_w____) &
% 225.10/34.63 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0 & $i(v0))
% 225.10/34.63 |
% 225.10/34.63 | ALPHA: (fact__0960_A_060_061_Acmod_Aw_096) implies:
% 225.10/34.63 | (3) ? [v0: $i] : ? [v1: $i] :
% 225.10/34.63 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v1 &
% 225.10/34.63 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 225.10/34.63 | & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1))
% 225.10/34.63 |
% 225.10/34.63 | ALPHA: (fact_real__mult__inverse__cancel2) implies:
% 225.10/34.64 | (4) ? [v0: $i] : ? [v1: $i] :
% 225.10/34.64 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 225.10/34.64 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 225.10/34.64 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i]
% 225.10/34.64 | : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11:
% 225.10/34.64 | $i] : ( ~ (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v5) =
% 225.10/34.64 | v7) | ~ (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v4)
% 225.10/34.64 | = v10) | ~ (hAPP(v9, v10) = v11) | ~ (hAPP(v6, v7) = v8) | ~
% 225.10/34.64 | (hAPP(v1, v3) = v6) | ~ (hAPP(v1, v2) = v9) | ~ $i(v5) | ~
% 225.10/34.64 | $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 225.10/34.64 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v5) | ~
% 225.10/34.64 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 225.10/34.64 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v11) | ? [v12:
% 225.10/34.64 | $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : (hAPP(v14, v2)
% 225.10/34.64 | = v15 & hAPP(v12, v3) = v13 & hAPP(v1, v5) = v14 & hAPP(v1, v4) =
% 225.10/34.64 | v12 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & ~
% 225.10/34.64 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v13, v15))))
% 225.10/34.64 |
% 225.10/34.64 | ALPHA: (fact_real__mult__inverse__cancel) implies:
% 226.22/34.64 | (5) ? [v0: $i] : ? [v1: $i] :
% 226.22/34.64 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 226.22/34.64 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 226.22/34.64 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i]
% 226.22/34.64 | : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ! [v11:
% 226.22/34.64 | $i] : ( ~ (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v5) =
% 226.22/34.64 | v6) | ~ (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v4)
% 226.22/34.64 | = v9) | ~ (hAPP(v10, v2) = v11) | ~ (hAPP(v7, v3) = v8) | ~
% 226.22/34.64 | (hAPP(v1, v9) = v10) | ~ (hAPP(v1, v6) = v7) | ~ $i(v5) | ~
% 226.22/34.64 | $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 226.22/34.64 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v5) | ~
% 226.22/34.64 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 226.22/34.64 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v11) | ? [v12:
% 226.22/34.64 | $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : (hAPP(v14, v2)
% 226.22/34.64 | = v15 & hAPP(v12, v3) = v13 & hAPP(v1, v5) = v14 & hAPP(v1, v4) =
% 226.22/34.64 | v12 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & ~
% 226.22/34.64 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v13, v15))))
% 226.22/34.64 |
% 226.22/34.64 | ALPHA: (fact_norm__mult__less) implies:
% 226.22/34.64 | (6) ? [v0: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 226.22/34.64 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 226.22/34.64 | [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : !
% 226.22/34.64 | [v10: $i] : ! [v11: $i] : ( ~ (c_Groups_Otimes__class_Otimes(v5) =
% 226.22/34.64 | v6) | ~ (c_RealVector_Onorm__class_Onorm(v5, v8) = v9) | ~
% 226.22/34.64 | (hAPP(v10, v1) = v11) | ~ (hAPP(v7, v2) = v8) | ~ (hAPP(v6, v4) =
% 226.22/34.64 | v7) | ~ (hAPP(v0, v3) = v10) | ~ $i(v5) | ~ $i(v4) | ~ $i(v3)
% 226.22/34.64 | | ~ $i(v2) | ~ $i(v1) | ~
% 226.22/34.64 | class_RealVector_Oreal__normed__algebra(v5) |
% 226.22/34.64 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9, v11) | ? [v12:
% 226.22/34.64 | $i] : ? [v13: $i] : ((c_RealVector_Onorm__class_Onorm(v5, v4) =
% 226.22/34.64 | v12 & $i(v12) & ~
% 226.22/34.64 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12, v3)) |
% 226.22/34.64 | (c_RealVector_Onorm__class_Onorm(v5, v2) = v13 & $i(v13) & ~
% 226.22/34.64 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v13, v1)))))
% 226.22/34.64 |
% 226.22/34.64 | ALPHA: (fact_zero__less__norm__iff) implies:
% 226.22/34.64 | (7) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 226.22/34.64 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 226.22/34.64 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ $i(v2) | ~
% 226.22/34.64 | $i(v1) | ~ class_RealVector_Oreal__normed__vector(v2) | ? [v4:
% 226.22/34.64 | $i] : (( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 226.22/34.64 | v3) | ( ~ (v4 = v1) & c_Groups_Ozero__class_Ozero(v2) = v4 &
% 226.22/34.64 | $i(v4))) & (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 226.22/34.64 | v0, v3) | (v4 = v1 & c_Groups_Ozero__class_Ozero(v2) =
% 226.22/34.64 | v1)))))
% 226.22/34.64 |
% 226.22/34.64 | ALPHA: (fact_kas_I1_J) implies:
% 226.22/34.64 | (8) ? [v0: $i] : ( ~ (v0 = v_a____) &
% 226.22/34.64 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0 & $i(v0))
% 226.22/34.64 |
% 226.22/34.64 | ALPHA: (fact_w) implies:
% 226.22/34.64 | (9) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 226.22/34.64 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 226.22/34.64 | (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v0, v6) = v7 &
% 226.22/34.64 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v1 &
% 226.22/34.64 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v2 &
% 226.22/34.64 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 &
% 226.22/34.64 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v7 & hAPP(v5,
% 226.22/34.64 | v_a____) = v6 & hAPP(v3, v_k____) = v4 & hAPP(v2, v_w____) = v3 &
% 226.22/34.64 | hAPP(v1, v4) = v5 & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 226.22/34.64 | $i(v2) & $i(v1) & $i(v0))
% 226.22/34.64 |
% 226.22/34.64 | ALPHA: (fact_norm__ge__zero) implies:
% 226.22/34.64 | (10) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 226.22/34.64 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 226.22/34.64 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ $i(v2) | ~
% 226.22/34.64 | $i(v1) | ~ class_RealVector_Oreal__normed__vector(v2) |
% 226.22/34.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3)))
% 226.22/34.64 |
% 226.22/34.64 | ALPHA: (fact_norm__le__zero__iff) implies:
% 226.22/34.64 | (11) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 226.22/34.64 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 226.22/34.64 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ $i(v2) | ~
% 226.22/34.64 | $i(v1) | ~ class_RealVector_Oreal__normed__vector(v2) | ? [v4:
% 226.22/34.64 | $i] : (( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 226.22/34.64 | v3, v0) | (v4 = v1 & c_Groups_Ozero__class_Ozero(v2) = v1))
% 226.22/34.64 | & (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0) |
% 226.22/34.64 | ( ~ (v4 = v1) & c_Groups_Ozero__class_Ozero(v2) = v4 &
% 226.22/34.64 | $i(v4))))))
% 226.22/34.64 |
% 226.22/34.64 | ALPHA: (fact_norm__mult__ineq) implies:
% 226.22/34.64 | (12) ? [v0: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 226.22/34.64 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 226.22/34.64 | [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 226.22/34.64 | (c_RealVector_Onorm__class_Onorm(v3, v2) = v4) | ~
% 226.22/34.64 | (c_RealVector_Onorm__class_Onorm(v3, v1) = v6) | ~ (hAPP(v5, v6)
% 226.22/34.64 | = v7) | ~ (hAPP(v0, v4) = v5) | ~ $i(v3) | ~ $i(v2) | ~
% 226.22/34.64 | $i(v1) | ~ class_RealVector_Oreal__normed__algebra(v3) | ? [v8:
% 226.22/34.64 | $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] :
% 226.22/34.64 | (c_Groups_Otimes__class_Otimes(v3) = v8 &
% 226.22/34.64 | c_RealVector_Onorm__class_Onorm(v3, v10) = v11 & hAPP(v9, v1) =
% 226.22/34.64 | v10 & hAPP(v8, v2) = v9 & $i(v11) & $i(v10) & $i(v9) & $i(v8) &
% 226.22/34.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v11, v7))))
% 226.22/34.64 |
% 226.22/34.64 | ALPHA: (fact_norm__power__ineq) implies:
% 226.22/34.64 | (13) ? [v0: $i] : (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 &
% 226.22/34.64 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 226.22/34.64 | [v5: $i] : ! [v6: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v3,
% 226.22/34.64 | v2) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v0, v4) = v5) |
% 226.22/34.64 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 226.22/34.64 | class_RealVector_Oreal__normed__algebra__1(v3) | ? [v7: $i] : ?
% 226.22/34.64 | [v8: $i] : ? [v9: $i] : ? [v10: $i] :
% 226.22/34.64 | (c_Power_Opower__class_Opower(v3) = v7 &
% 226.22/34.64 | c_RealVector_Onorm__class_Onorm(v3, v9) = v10 & hAPP(v8, v1) =
% 226.22/34.64 | v9 & hAPP(v7, v2) = v8 & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 226.22/34.64 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, v6))))
% 226.22/34.64 |
% 226.22/34.64 | ALPHA: (fact_power__eq__0__iff) implies:
% 226.22/34.65 | (14) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v0)
% 226.22/34.65 | & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 226.22/34.65 | $i] : ! [v6: $i] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) |
% 226.22/34.65 | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ $i(v3) | ~
% 226.22/34.65 | $i(v2) | ~ $i(v1) | ~ class_Rings_Ozero__neq__one(v3) | ~
% 226.22/34.65 | class_Rings_Omult__zero(v3) | ~
% 226.22/34.65 | class_Rings_Ono__zero__divisors(v3) | ~ class_Power_Opower(v3) |
% 226.22/34.65 | ? [v7: $i] : (c_Groups_Ozero__class_Ozero(v3) = v7 & $i(v7) & ( ~
% 226.22/34.65 | (v7 = v6) | (v6 = v2 & ~ (v1 = v0))) & ( ~ (v7 = v2) | v6 =
% 226.22/34.65 | v2 | v1 = v0))))
% 226.22/34.65 |
% 226.22/34.65 | ALPHA: (fact_norm__one) implies:
% 226.22/34.65 | (15) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 226.22/34.65 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 226.22/34.65 | (c_Groups_Oone__class_Oone(v1) = v2) | ~
% 226.22/34.65 | (c_RealVector_Onorm__class_Onorm(v1, v2) = v3) | ~ $i(v1) | ~
% 226.22/34.65 | class_RealVector_Oreal__normed__algebra__1(v1)))
% 226.22/34.65 |
% 226.22/34.65 | ALPHA: (fact_power__one__right) implies:
% 226.22/34.65 | (16) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v0) &
% 226.22/34.65 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 226.22/34.65 | (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v3, v1) = v4) |
% 226.22/34.65 | ~ $i(v2) | ~ $i(v1) | ~ class_Groups_Omonoid__mult(v2) |
% 226.22/34.65 | hAPP(v4, v0) = v1))
% 226.22/34.65 |
% 226.22/34.65 | ALPHA: (fact_norm__eq__zero) implies:
% 226.22/34.65 | (17) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 226.22/34.65 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 226.22/34.65 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ $i(v2) | ~
% 226.22/34.65 | $i(v1) | ~ class_RealVector_Oreal__normed__vector(v2) | ? [v4:
% 226.22/34.65 | $i] : (( ~ (v3 = v0) | (v4 = v1 &
% 226.22/34.65 | c_Groups_Ozero__class_Ozero(v2) = v1)) & (v3 = v0 | ( ~ (v4
% 226.22/34.65 | = v1) & c_Groups_Ozero__class_Ozero(v2) = v4 & $i(v4))))))
% 226.22/34.65 |
% 226.22/34.65 | ALPHA: (fact_norm__zero) implies:
% 226.22/34.65 | (18) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 226.22/34.65 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 226.22/34.65 | (c_RealVector_Onorm__class_Onorm(v1, v2) = v3) | ~
% 226.22/34.65 | (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ $i(v1) | ~
% 226.22/34.65 | class_RealVector_Oreal__normed__vector(v1)))
% 226.22/34.65 |
% 226.22/34.65 | ALPHA: (fact_norm__mult) implies:
% 226.22/34.65 | (19) ? [v0: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 226.22/34.65 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 226.22/34.65 | [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 226.22/34.65 | (c_RealVector_Onorm__class_Onorm(v3, v2) = v4) | ~
% 226.22/34.65 | (c_RealVector_Onorm__class_Onorm(v3, v1) = v6) | ~ (hAPP(v5, v6)
% 226.22/34.65 | = v7) | ~ (hAPP(v0, v4) = v5) | ~ $i(v3) | ~ $i(v2) | ~
% 226.22/34.65 | $i(v1) | ~ class_RealVector_Oreal__normed__div__algebra(v3) | ?
% 226.22/34.65 | [v8: $i] : ? [v9: $i] : ? [v10: $i] :
% 226.22/34.65 | (c_Groups_Otimes__class_Otimes(v3) = v8 &
% 226.22/34.65 | c_RealVector_Onorm__class_Onorm(v3, v10) = v7 & hAPP(v9, v1) =
% 226.22/34.65 | v10 & hAPP(v8, v2) = v9 & $i(v10) & $i(v9) & $i(v8) & $i(v7))))
% 226.22/34.65 |
% 226.22/34.65 | ALPHA: (fact_norm__not__less__zero) implies:
% 226.22/34.65 | (20) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 226.22/34.65 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 226.22/34.65 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ $i(v2) | ~
% 226.22/34.65 | $i(v1) | ~ class_RealVector_Oreal__normed__vector(v2) | ~
% 226.22/34.65 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0)))
% 226.22/34.65 |
% 226.22/34.65 | ALPHA: (fact_norm__power) implies:
% 226.22/34.65 | (21) ? [v0: $i] : (c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v0 &
% 226.22/34.65 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 226.22/34.65 | [v5: $i] : ! [v6: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v3,
% 226.22/34.65 | v2) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v0, v4) = v5) |
% 226.22/34.65 | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 226.22/34.65 | class_RealVector_Oreal__normed__div__algebra(v3) | ? [v7: $i] :
% 226.22/34.65 | ? [v8: $i] : ? [v9: $i] : (c_Power_Opower__class_Opower(v3) = v7
% 226.22/34.65 | & c_RealVector_Onorm__class_Onorm(v3, v9) = v6 & hAPP(v8, v1) =
% 226.22/34.65 | v9 & hAPP(v7, v2) = v8 & $i(v9) & $i(v8) & $i(v7) & $i(v6))))
% 226.22/34.65 |
% 226.22/34.65 | ALPHA: (fact_Bseq__inverse__lemma) implies:
% 226.22/34.65 | (22) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 226.22/34.65 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 226.22/34.65 | [v5: $i] : ! [v6: $i] : ( ~ (c_Rings_Oinverse__class_Oinverse(v3,
% 226.22/34.65 | v1) = v4) | ~
% 226.22/34.65 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v2) = v6) | ~
% 226.22/34.65 | (c_RealVector_Onorm__class_Onorm(v3, v4) = v5) | ~ $i(v3) | ~
% 226.22/34.65 | $i(v2) | ~ $i(v1) | ~
% 226.22/34.65 | class_RealVector_Oreal__normed__div__algebra(v3) | ~
% 226.22/34.65 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2) |
% 226.22/34.65 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v6) | ?
% 226.22/34.65 | [v7: $i] : (c_RealVector_Onorm__class_Onorm(v3, v1) = v7 & $i(v7)
% 226.22/34.65 | & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2,
% 226.22/34.65 | v7))))
% 226.22/34.65 |
% 226.22/34.65 | ALPHA: (fact_norm__ratiotest__lemma) implies:
% 226.38/34.65 | (23) ? [v0: $i] : ? [v1: $i] :
% 226.38/34.65 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 226.38/34.65 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 226.38/34.65 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 226.38/34.65 | $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~
% 226.38/34.65 | (c_RealVector_Onorm__class_Onorm(v5, v3) = v6) | ~
% 226.38/34.65 | (c_RealVector_Onorm__class_Onorm(v5, v2) = v8) | ~ (hAPP(v7, v8)
% 226.38/34.65 | = v9) | ~ (hAPP(v1, v4) = v7) | ~ $i(v5) | ~ $i(v4) | ~
% 226.38/34.65 | $i(v3) | ~ $i(v2) | ~ class_RealVector_Oreal__normed__vector(v5)
% 226.38/34.65 | | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v9) |
% 226.38/34.65 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v0) |
% 226.38/34.65 | c_Groups_Ozero__class_Ozero(v5) = v3))
% 226.38/34.65 |
% 226.38/34.65 | ALPHA: (fact_real__mult__le__cancel__iff2) implies:
% 226.38/34.66 | (24) ? [v0: $i] : ? [v1: $i] :
% 226.38/34.66 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 226.38/34.66 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 226.38/34.66 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 226.38/34.66 | $i] : ! [v7: $i] : ( ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) =
% 226.38/34.66 | v7) | ~ (hAPP(v1, v4) = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2)
% 226.38/34.66 | | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v7) |
% 226.38/34.66 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 226.38/34.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v2)) & !
% 226.38/34.66 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] :
% 226.38/34.66 | ! [v7: $i] : ( ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v7) | ~
% 226.38/34.66 | (hAPP(v1, v4) = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 226.38/34.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v2) | ~
% 226.38/34.66 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 226.38/34.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v7)))
% 226.38/34.66 |
% 226.38/34.66 | ALPHA: (fact_real__mult__le__cancel__iff1) implies:
% 226.38/34.66 | (25) ? [v0: $i] : ? [v1: $i] :
% 226.38/34.66 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 226.38/34.66 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 226.38/34.66 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 226.38/34.66 | $i] : ! [v7: $i] : ! [v8: $i] : ( ~ (hAPP(v7, v4) = v8) | ~
% 226.38/34.66 | (hAPP(v5, v4) = v6) | ~ (hAPP(v1, v3) = v5) | ~ (hAPP(v1, v2) =
% 226.38/34.66 | v7) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 226.38/34.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v8) | ~
% 226.38/34.66 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 226.38/34.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v2)) & !
% 226.38/34.66 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] :
% 226.38/34.66 | ! [v7: $i] : ! [v8: $i] : ( ~ (hAPP(v7, v4) = v8) | ~ (hAPP(v5,
% 226.38/34.66 | v4) = v6) | ~ (hAPP(v1, v3) = v5) | ~ (hAPP(v1, v2) = v7) |
% 226.38/34.66 | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 226.38/34.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v2) | ~
% 226.38/34.66 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 226.38/34.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v8)))
% 226.38/34.66 |
% 226.38/34.66 | ALPHA: (fact_m_I2_J) implies:
% 226.38/34.66 | (26) ? [v0: $i] : ? [v1: $i] : (c_Polynomial_Opoly(tc_Complex_Ocomplex,
% 226.38/34.66 | v_s____) = v1 &
% 226.38/34.66 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v0 &
% 226.38/34.66 | $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~ (hAPP(v1, v2) =
% 226.38/34.66 | v3) | ~ $i(v2) | ? [v4: $i] : ? [v5: $i] :
% 226.38/34.66 | ((c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v5 &
% 226.38/34.66 | $i(v5) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 226.38/34.66 | v5, v_m____)) |
% 226.38/34.66 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v4 &
% 226.38/34.66 | $i(v4) & ~
% 226.38/34.66 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4,
% 226.38/34.66 | v0)))))
% 226.38/34.66 |
% 226.38/34.66 | ALPHA: (fact_real__zero__not__eq__one) implies:
% 226.38/34.66 | (27) ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) &
% 226.38/34.66 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 226.38/34.66 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) &
% 226.38/34.66 | $i(v0))
% 226.38/34.66 |
% 226.38/34.66 | ALPHA: (fact_real__mult__commute) implies:
% 226.38/34.66 | (28) ? [v0: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 226.38/34.66 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 226.38/34.66 | (hAPP(v3, v2) = v4) | ~ (hAPP(v0, v1) = v3) | ~ $i(v2) | ~
% 226.38/34.66 | $i(v1) | ? [v5: $i] : (hAPP(v5, v1) = v4 & hAPP(v0, v2) = v5 &
% 226.38/34.66 | $i(v5) & $i(v4))))
% 226.38/34.66 |
% 226.38/34.66 | ALPHA: (fact_real__mult__assoc) implies:
% 226.38/34.66 | (29) ? [v0: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 226.38/34.66 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 226.38/34.66 | [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~ (hAPP(v6, v1) = v7) | ~
% 226.38/34.66 | (hAPP(v4, v2) = v5) | ~ (hAPP(v0, v5) = v6) | ~ (hAPP(v0, v3) =
% 226.38/34.66 | v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ? [v8: $i] : ? [v9:
% 226.38/34.66 | $i] : (hAPP(v8, v1) = v9 & hAPP(v4, v9) = v7 & hAPP(v0, v2) = v8
% 226.38/34.66 | & $i(v9) & $i(v8) & $i(v7))))
% 226.38/34.66 |
% 226.38/34.66 | ALPHA: (fact_real__mult__1) implies:
% 226.38/34.66 | (30) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 226.38/34.66 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 226.38/34.66 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 & hAPP(v0, v1) = v2
% 226.38/34.66 | & $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : (v4 = v3 |
% 226.38/34.66 | ~ (hAPP(v2, v3) = v4) | ~ $i(v3)))
% 226.38/34.66 |
% 226.38/34.66 | ALPHA: (fact_real__add__mult__distrib) implies:
% 226.38/34.66 | (31) ? [v0: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 226.38/34.66 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 226.38/34.66 | [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~
% 226.38/34.66 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v7) = v8) | ~
% 226.38/34.66 | (hAPP(v6, v1) = v7) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v0, v3) =
% 226.38/34.66 | v4) | ~ (hAPP(v0, v2) = v6) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1)
% 226.38/34.66 | | ? [v9: $i] : ? [v10: $i] :
% 226.38/34.66 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v2) = v9 &
% 226.38/34.66 | hAPP(v10, v1) = v8 & hAPP(v0, v9) = v10 & $i(v10) & $i(v9) &
% 226.38/34.66 | $i(v8))))
% 226.38/34.66 |
% 226.38/34.66 | ALPHA: (fact_real__mult__right__cancel) implies:
% 226.38/34.66 | (32) ? [v0: $i] : ? [v1: $i] :
% 226.38/34.66 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 226.38/34.66 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 226.38/34.66 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 226.38/34.66 | $i] : ! [v7: $i] : (v4 = v0 | v3 = v2 | ~ (hAPP(v7, v4) = v6) |
% 226.38/34.66 | ~ (hAPP(v5, v4) = v6) | ~ (hAPP(v1, v3) = v5) | ~ (hAPP(v1, v2)
% 226.38/34.66 | = v7) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2)))
% 226.38/34.66 |
% 226.38/34.66 | ALPHA: (fact_real__mult__left__cancel) implies:
% 226.38/34.66 | (33) ? [v0: $i] : ? [v1: $i] :
% 226.38/34.66 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 226.38/34.66 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 226.38/34.66 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 226.38/34.66 | $i] : (v4 = v0 | v3 = v2 | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5,
% 226.38/34.66 | v2) = v6) | ~ (hAPP(v1, v4) = v5) | ~ $i(v4) | ~ $i(v3) |
% 226.38/34.66 | ~ $i(v2)))
% 226.38/34.66 |
% 226.38/34.66 | ALPHA: (fact_real__two__squares__add__zero__iff) implies:
% 226.38/34.66 | (34) ? [v0: $i] : ? [v1: $i] :
% 226.38/34.66 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 226.38/34.66 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v1 & $i(v1) & $i(v0)
% 226.38/34.66 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 226.38/34.66 | $i] : ! [v7: $i] : (v3 = v1 | ~
% 226.38/34.66 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v7) = v1) | ~
% 226.38/34.66 | (hAPP(v6, v2) = v7) | ~ (hAPP(v4, v3) = v5) | ~ (hAPP(v0, v3) =
% 226.38/34.66 | v4) | ~ (hAPP(v0, v2) = v6) | ~ $i(v3) | ~ $i(v2)) & ! [v2:
% 226.38/34.66 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 226.38/34.66 | [v7: $i] : (v2 = v1 | ~
% 226.38/34.66 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v7) = v1) | ~
% 226.38/34.66 | (hAPP(v6, v2) = v7) | ~ (hAPP(v4, v3) = v5) | ~ (hAPP(v0, v3) =
% 226.38/34.66 | v4) | ~ (hAPP(v0, v2) = v6) | ~ $i(v3) | ~ $i(v2)) & ! [v2:
% 226.38/34.66 | $i] : ! [v3: $i] : ! [v4: $i] : (v4 = v1 | ~
% 226.38/34.66 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v3) = v4) | ~
% 226.38/34.66 | (hAPP(v2, v1) = v3) | ~ (hAPP(v0, v1) = v2)))
% 226.38/34.66 |
% 226.38/34.66 | ALPHA: (fact_INVERSE__ZERO) implies:
% 226.38/34.67 | (35) ? [v0: $i] : (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v0)
% 226.38/34.67 | = v0 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v0))
% 226.38/34.67 |
% 226.38/34.67 | ALPHA: (fact_real__mult__less__iff1) implies:
% 226.38/34.67 | (36) ? [v0: $i] : ? [v1: $i] :
% 226.38/34.67 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 226.38/34.67 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 226.38/34.67 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 226.38/34.67 | $i] : ! [v7: $i] : ! [v8: $i] : ( ~ (hAPP(v7, v4) = v8) | ~
% 226.38/34.67 | (hAPP(v5, v4) = v6) | ~ (hAPP(v1, v3) = v5) | ~ (hAPP(v1, v2) =
% 226.38/34.67 | v7) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 226.38/34.67 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v8) | ~
% 226.38/34.67 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 226.38/34.67 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v2)) & ! [v2:
% 226.38/34.67 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 226.38/34.67 | [v7: $i] : ! [v8: $i] : ( ~ (hAPP(v7, v4) = v8) | ~ (hAPP(v5, v4)
% 226.38/34.67 | = v6) | ~ (hAPP(v1, v3) = v5) | ~ (hAPP(v1, v2) = v7) | ~
% 226.38/34.67 | $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 226.38/34.67 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v2) | ~
% 226.38/34.67 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 226.38/34.67 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v8)))
% 226.38/34.67 |
% 226.38/34.67 | ALPHA: (fact_real__mult__order) implies:
% 226.38/34.67 | (37) ? [v0: $i] : ? [v1: $i] :
% 226.38/34.67 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 226.38/34.67 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 226.38/34.67 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 226.38/34.67 | (hAPP(v4, v2) = v5) | ~ (hAPP(v1, v3) = v4) | ~ $i(v3) | ~
% 226.38/34.67 | $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 226.38/34.67 | v3) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v2)
% 226.38/34.67 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v5)))
% 226.38/34.67 |
% 226.38/34.67 | ALPHA: (fact_real__mult__less__mono2) implies:
% 226.38/34.67 | (38) ? [v0: $i] : ? [v1: $i] :
% 226.38/34.67 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 226.38/34.67 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 226.38/34.67 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 226.38/34.67 | $i] : ! [v7: $i] : ( ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) =
% 226.38/34.67 | v7) | ~ (hAPP(v1, v4) = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2)
% 226.38/34.67 | | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v2) | ~
% 226.38/34.67 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4) |
% 226.38/34.67 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v7)))
% 226.38/34.67 |
% 226.38/34.67 | ALPHA: (fact_real__mult__inverse__left) implies:
% 226.38/34.67 | (39) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 226.38/34.67 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 226.38/34.67 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v2 &
% 226.38/34.67 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v2) & $i(v1)
% 226.38/34.67 | & $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] :
% 226.38/34.67 | (v6 = v2 | v3 = v0 | ~
% 226.38/34.67 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v3) = v4) | ~
% 226.38/34.67 | (hAPP(v5, v3) = v6) | ~ (hAPP(v1, v4) = v5) | ~ $i(v3)))
% 226.38/34.67 |
% 226.38/34.67 | 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)
% 226.38/34.67 | implies:
% 226.38/34.67 | (40) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 226.38/34.67 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 226.38/34.67 | (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v0, v8) = v3 &
% 226.38/34.67 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v1 &
% 226.38/34.67 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v2 &
% 226.38/34.67 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 &
% 226.38/34.67 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v3 & hAPP(v7,
% 226.38/34.67 | v_a____) = v8 & hAPP(v5, v_k____) = v6 & hAPP(v2, v4) = v5 &
% 226.38/34.67 | hAPP(v1, v6) = v7 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 226.38/34.67 | $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 226.38/34.67 |
% 226.38/34.67 | ALPHA: (fact__0961_A_L_Aw_A_094_Ak_A_K_Aa_A_N_A1_A_061_A0_A_N_A1_096) implies:
% 226.38/34.67 | (41) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 226.38/34.67 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 226.38/34.67 | (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v9, v0) = v8 &
% 226.38/34.67 | c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v7, v0) = v8 &
% 226.38/34.67 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v0, v6) = v7 &
% 226.38/34.67 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v1 &
% 226.38/34.67 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v2 &
% 226.38/34.67 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 &
% 226.38/34.67 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v9 & hAPP(v5,
% 226.38/34.67 | v_a____) = v6 & hAPP(v3, v_k____) = v4 & hAPP(v2, v_w____) = v3 &
% 226.38/34.67 | hAPP(v1, v4) = v5 & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) &
% 226.38/34.67 | $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 226.38/34.67 |
% 226.38/34.67 | ALPHA: (fact_wm1) implies:
% 226.38/34.67 | (42) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 226.38/34.67 | ? [v5: $i] : ? [v6: $i] :
% 226.38/34.67 | (c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v6) = v5 &
% 226.38/34.67 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v0 &
% 226.38/34.67 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v1 &
% 226.38/34.67 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v6 & hAPP(v4,
% 226.38/34.67 | v_a____) = v5 & hAPP(v2, v_k____) = v3 & hAPP(v1, v_w____) = v2 &
% 226.38/34.67 | hAPP(v0, v3) = v4 & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 226.38/34.67 | $i(v1) & $i(v0))
% 226.38/34.67 |
% 226.38/34.67 | ALPHA: (fact_less_Oprems) implies:
% 226.38/34.67 | (43) ? [v0: $i] : (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____) = v0
% 226.38/34.67 | & $i(v0) & ~
% 226.38/34.67 | c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,
% 226.38/34.67 | tc_Complex_Ocomplex, v0))
% 226.38/34.67 |
% 226.38/34.67 | ALPHA: (fact_nat__mult__eq__1__iff) implies:
% 226.38/34.67 | (44) ? [v0: $i] : ? [v1: $i] :
% 226.38/34.67 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 226.38/34.67 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v1) & $i(v0) & !
% 226.38/34.67 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v3 = v1 | ~ (hAPP(v4, v2) =
% 226.38/34.67 | v1) | ~ (hAPP(v0, v3) = v4) | ~ $i(v3) | ~ $i(v2)) & ! [v2:
% 226.38/34.67 | $i] : ! [v3: $i] : ! [v4: $i] : (v2 = v1 | ~ (hAPP(v4, v2) =
% 226.38/34.67 | v1) | ~ (hAPP(v0, v3) = v4) | ~ $i(v3) | ~ $i(v2)) & ! [v2:
% 226.38/34.67 | $i] : ! [v3: $i] : (v3 = v1 | ~ (hAPP(v2, v1) = v3) | ~
% 226.38/34.67 | (hAPP(v0, v1) = v2)))
% 226.38/34.67 |
% 226.38/34.67 | ALPHA: (fact_nat__mult__1__right) implies:
% 226.38/34.67 | (45) ? [v0: $i] : ? [v1: $i] :
% 226.38/34.67 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 226.38/34.67 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v1) & $i(v0) & !
% 226.38/34.67 | [v2: $i] : ! [v3: $i] : ( ~ (hAPP(v0, v2) = v3) | ~ $i(v2) |
% 226.38/34.67 | hAPP(v3, v1) = v2))
% 226.38/34.67 |
% 226.38/34.67 | ALPHA: (fact_nat__1__eq__mult__iff) implies:
% 226.38/34.67 | (46) ? [v0: $i] : ? [v1: $i] :
% 226.38/34.67 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v1 &
% 226.38/34.67 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v1) & $i(v0) & !
% 226.38/34.67 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v3 = v0 | ~ (hAPP(v4, v2) =
% 226.38/34.67 | v0) | ~ (hAPP(v1, v3) = v4) | ~ $i(v3) | ~ $i(v2)) & ! [v2:
% 226.38/34.67 | $i] : ! [v3: $i] : ! [v4: $i] : (v2 = v0 | ~ (hAPP(v4, v2) =
% 226.38/34.67 | v0) | ~ (hAPP(v1, v3) = v4) | ~ $i(v3) | ~ $i(v2)) & ! [v2:
% 226.38/34.67 | $i] : ! [v3: $i] : (v3 = v0 | ~ (hAPP(v2, v0) = v3) | ~
% 226.38/34.67 | (hAPP(v1, v0) = v2)))
% 226.38/34.67 |
% 226.38/34.67 | ALPHA: (fact_nat__mult__1) implies:
% 226.38/34.68 | (47) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 226.38/34.68 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 226.38/34.68 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & hAPP(v0, v1) = v2 &
% 226.38/34.68 | $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : (v4 = v3 | ~
% 226.38/34.68 | (hAPP(v2, v3) = v4) | ~ $i(v3)))
% 226.38/34.68 |
% 226.38/34.68 | ALPHA: (fact_mult__eq__self__implies__10) implies:
% 226.38/34.68 | (48) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 226.38/34.68 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v0 &
% 226.38/34.68 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 &
% 226.38/34.68 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v2 & $i(v2) & $i(v1) &
% 226.38/34.68 | $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v4 = v2 | v3 =
% 226.38/34.68 | v1 | ~ (hAPP(v5, v3) = v4) | ~ (hAPP(v0, v4) = v5) | ~ $i(v4) |
% 226.38/34.68 | ~ $i(v3)))
% 226.38/34.68 |
% 226.38/34.68 | ALPHA: (fact_reduce__poly__simple) implies:
% 226.38/34.68 | (49) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 226.38/34.68 | ? [v5: $i] : (c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v3
% 226.38/34.68 | & c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v4 &
% 226.38/34.68 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v2 &
% 226.38/34.68 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v5 &
% 226.38/34.68 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 &
% 226.38/34.68 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0 & $i(v5) &
% 226.38/34.68 | $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ? [v6: $i] : ! [v7:
% 226.38/34.68 | $i] : ! [v8: $i] : (v7 = v0 | v6 = v1 | ~ (hAPP(v3, v7) = v8) |
% 226.38/34.68 | ~ $i(v7) | ~ $i(v6) | ? [v9: $i] : ? [v10: $i] : ? [v11: $i] :
% 226.38/34.68 | ? [v12: $i] : ? [v13: $i] : ? [v14: $i] :
% 226.38/34.68 | (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v2, v12) = v13 &
% 226.38/34.68 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v13) = v14
% 226.38/34.68 | & hAPP(v10, v6) = v11 & hAPP(v8, v11) = v12 & hAPP(v4, v9) = v10
% 226.38/34.68 | & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) &
% 226.38/34.68 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v14, v5))))
% 226.38/34.68 |
% 226.38/34.68 | ALPHA: (fact_not__real__square__gt__zero) implies:
% 226.38/34.68 | (50) ? [v0: $i] : ? [v1: $i] :
% 226.38/34.68 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 226.38/34.68 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 226.38/34.68 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v2 = v0 | ~ (hAPP(v3,
% 226.38/34.68 | v2) = v4) | ~ (hAPP(v1, v2) = v3) | ~ $i(v2) |
% 226.38/34.68 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4)) & ! [v2:
% 226.38/34.68 | $i] : ! [v3: $i] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(v1, v0) =
% 226.38/34.68 | v2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 226.38/34.68 | v3)))
% 226.38/34.68 |
% 226.38/34.68 | ALPHA: (fact_pc0) implies:
% 226.38/34.68 | (51) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ( ~ (v2 = v1) &
% 226.38/34.68 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____) = v0 &
% 226.38/34.68 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 & hAPP(v0,
% 226.38/34.68 | v_c____) = v1 & $i(v2) & $i(v1) & $i(v0))
% 226.38/34.68 |
% 226.38/34.68 | ALPHA: (fact_c) implies:
% 226.38/34.68 | (52) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 226.38/34.68 | (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____) = v0 &
% 226.38/34.68 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v2 &
% 226.38/34.68 | hAPP(v0, v_c____) = v1 & $i(v2) & $i(v1) & $i(v0) & ! [v3: $i] : !
% 226.38/34.68 | [v4: $i] : ( ~ (hAPP(v0, v3) = v4) | ~ $i(v3) | ? [v5: $i] :
% 226.38/34.68 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v5 &
% 226.38/34.68 | $i(v5) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2,
% 226.38/34.68 | v5))))
% 226.38/34.68 |
% 226.38/34.68 | ALPHA: (fact_kn) implies:
% 226.38/34.68 | (53) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ( ~ (v2 = v0) &
% 226.38/34.68 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 226.38/34.68 | v_pa____) = v0 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____,
% 226.38/34.68 | v1) = v2 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v2) &
% 226.38/34.68 | $i(v1) & $i(v0))
% 226.38/34.68 |
% 226.38/34.68 | ALPHA: (fact_real__le__eq__diff) implies:
% 226.38/34.68 | (54) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 226.38/34.68 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 226.38/34.68 | (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v2, v1) = v3) |
% 226.38/34.68 | ~ $i(v2) | ~ $i(v1) | ~
% 226.38/34.68 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0) |
% 226.38/34.68 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1)) & !
% 226.38/34.68 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 226.38/34.68 | (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v2, v1) = v3) |
% 226.38/34.68 | ~ $i(v2) | ~ $i(v1) | ~
% 226.38/34.68 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1) |
% 226.38/34.68 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0)))
% 226.38/34.68 |
% 226.38/34.68 | ALPHA: (fact_real__minus__mult__self__le) implies:
% 226.38/34.68 | (55) ? [v0: $i] : (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v0 &
% 226.38/34.68 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 226.38/34.68 | [v5: $i] : ! [v6: $i] : ( ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v2)
% 226.38/34.68 | = v4) | ~ (hAPP(v0, v2) = v3) | ~ (hAPP(v0, v1) = v5) | ~
% 226.38/34.68 | $i(v2) | ~ $i(v1) | ? [v7: $i] :
% 226.38/34.68 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v4) = v7 &
% 226.38/34.68 | $i(v7) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v7,
% 226.38/34.68 | v6))))
% 226.38/34.68 |
% 226.38/34.68 | ALPHA: (fact_real__add__minus__iff) implies:
% 226.38/34.68 | (56) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 226.38/34.68 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 226.38/34.68 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2) | ~
% 226.38/34.68 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v2) = v3) | ~
% 226.38/34.68 | $i(v1)) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v2 = v1 | ~
% 226.38/34.68 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v3) | ~
% 226.38/34.68 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v3) = v0) | ~
% 226.38/34.68 | $i(v2) | ~ $i(v1)))
% 226.38/34.68 |
% 226.38/34.68 | ALPHA: (fact_real__add__eq__0__iff) implies:
% 226.38/34.68 | (57) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 226.38/34.68 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v3 = v0 | ~
% 226.38/34.68 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 226.38/34.68 | $i(v2) | ~ $i(v1) | ? [v4: $i] : ( ~ (v4 = v1) &
% 226.38/34.68 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v4 &
% 226.38/34.68 | $i(v4))) & ! [v1: $i] : ! [v2: $i] : ( ~
% 226.38/34.68 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v0) | ~
% 226.38/34.68 | $i(v2) | ~ $i(v1) |
% 226.38/34.68 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) = v1))
% 226.38/34.68 |
% 226.38/34.68 | ALPHA: (fact_real__add__le__0__iff) implies:
% 226.38/34.68 | (58) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 226.38/34.68 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 226.38/34.68 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 226.38/34.68 | $i(v2) | ~ $i(v1) | ~
% 226.38/34.68 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0) | ?
% 226.38/34.68 | [v4: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2)
% 226.38/34.68 | = v4 & $i(v4) &
% 226.38/34.68 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v4))) &
% 226.38/34.68 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 226.38/34.68 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 226.38/34.68 | $i(v2) | ~ $i(v1) |
% 226.38/34.68 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0) | ?
% 226.38/34.68 | [v4: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2)
% 226.38/34.68 | = v4 & $i(v4) & ~
% 226.38/34.68 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v4))))
% 226.38/34.68 |
% 226.38/34.68 | ALPHA: (fact_real__0__le__add__iff) implies:
% 226.38/34.68 | (59) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 226.38/34.68 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 226.38/34.68 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 226.38/34.68 | $i(v2) | ~ $i(v1) | ~
% 226.38/34.68 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) | ?
% 226.38/34.68 | [v4: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2)
% 226.38/34.68 | = v4 & $i(v4) &
% 226.38/34.68 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v1))) &
% 226.38/34.68 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 226.38/34.68 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 226.38/34.68 | $i(v2) | ~ $i(v1) |
% 226.38/34.68 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3) | ?
% 226.38/34.68 | [v4: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2)
% 226.38/34.68 | = v4 & $i(v4) & ~
% 226.38/34.68 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v1))))
% 226.38/34.68 |
% 226.38/34.68 | ALPHA: (fact_real__0__less__add__iff) implies:
% 226.38/34.68 | (60) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 226.38/34.68 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 226.38/34.68 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 226.38/34.68 | $i(v2) | ~ $i(v1) | ~
% 226.38/34.68 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) | ? [v4:
% 226.38/34.68 | $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) =
% 226.38/34.68 | v4 & $i(v4) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 226.38/34.68 | v4, v1))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 226.38/34.68 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 226.38/34.68 | $i(v2) | ~ $i(v1) |
% 226.38/34.68 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) | ? [v4:
% 226.38/34.68 | $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) =
% 226.38/34.68 | v4 & $i(v4) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 226.38/34.68 | v4, v1))))
% 226.38/34.68 |
% 226.38/34.68 | ALPHA: (fact_real__add__less__0__iff) implies:
% 226.38/34.68 | (61) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 226.38/34.68 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 226.38/34.68 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 226.38/34.68 | $i(v2) | ~ $i(v1) | ~
% 226.38/34.68 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0) | ? [v4:
% 226.38/34.68 | $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) =
% 226.38/34.68 | v4 & $i(v4) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 226.38/34.68 | v1, v4))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 226.38/34.68 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v3) | ~
% 226.38/34.68 | $i(v2) | ~ $i(v1) |
% 226.38/34.68 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0) | ? [v4:
% 226.38/34.68 | $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v2) =
% 226.38/34.68 | v4 & $i(v4) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 226.38/34.68 | v1, v4))))
% 226.38/34.68 |
% 226.38/34.68 | ALPHA: (fact_mult__eq__if) implies:
% 226.38/34.68 | (62) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 226.38/34.68 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v1 &
% 226.38/34.68 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v2 &
% 226.38/34.68 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v2) & $i(v1) &
% 226.38/34.68 | $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 226.38/34.68 | [v7: $i] : ! [v8: $i] : (v4 = v0 | ~
% 226.38/34.68 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v4, v2) = v5) | ~
% 226.38/34.68 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v7) = v8) | ~
% 226.38/34.68 | (hAPP(v6, v3) = v7) | ~ (hAPP(v1, v5) = v6) | ~ $i(v4) | ~
% 226.38/34.68 | $i(v3) | ? [v9: $i] : (hAPP(v9, v3) = v8 & hAPP(v1, v4) = v9 &
% 226.38/34.68 | $i(v9) & $i(v8))) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] :
% 226.38/34.68 | (v5 = v0 | ~ (hAPP(v4, v3) = v5) | ~ (hAPP(v1, v0) = v4) | ~
% 226.38/34.68 | $i(v3)))
% 226.38/34.68 |
% 226.38/34.68 | ALPHA: (fact_power__eq__if) implies:
% 226.38/34.68 | (63) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 226.38/34.68 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v3 &
% 226.38/34.68 | c_Power_Opower__class_Opower(tc_Nat_Onat) = v1 &
% 226.38/34.68 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v2 &
% 226.38/34.68 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v3) & $i(v2) &
% 226.38/34.68 | $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 226.38/34.68 | $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : (v5 = v0 | ~
% 226.38/34.68 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v5, v2) = v8) | ~
% 226.38/34.68 | (hAPP(v7, v9) = v10) | ~ (hAPP(v6, v8) = v9) | ~ (hAPP(v3, v4) =
% 226.38/34.68 | v7) | ~ (hAPP(v1, v4) = v6) | ~ $i(v5) | ~ $i(v4) | (hAPP(v6,
% 226.38/34.68 | v5) = v10 & $i(v10))) & ! [v4: $i] : ! [v5: $i] : ! [v6:
% 226.38/34.68 | $i] : (v6 = v2 | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v1, v4) = v5) |
% 226.38/34.68 | ~ $i(v4)))
% 226.38/34.68 |
% 226.38/34.68 | ALPHA: (fact_realpow__num__eq__if) implies:
% 226.38/34.69 | (64) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) =
% 226.38/34.69 | v1 & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v1) & $i(v0)
% 226.38/34.69 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 226.38/34.69 | $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : !
% 226.38/34.69 | [v11: $i] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v1)
% 226.38/34.69 | = v9) | ~ (c_Groups_Otimes__class_Otimes(v4) = v7) | ~
% 226.38/34.69 | (c_Power_Opower__class_Opower(v4) = v5) | ~ (hAPP(v8, v10) = v11)
% 226.38/34.69 | | ~ (hAPP(v7, v2) = v8) | ~ (hAPP(v6, v9) = v10) | ~ (hAPP(v5,
% 226.38/34.69 | v2) = v6) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 226.38/34.69 | class_Power_Opower(v4) | ? [v12: $i] : ? [v13: $i] : (( ~ (v3 =
% 226.38/34.69 | v0) | (v13 = v12 & c_Groups_Oone__class_Oone(v4) = v12 &
% 226.38/34.69 | hAPP(v6, v0) = v12 & $i(v12))) & (v3 = v0 | (v12 = v11 &
% 226.38/34.69 | hAPP(v6, v3) = v11 & $i(v11))))))
% 226.38/34.69 |
% 226.38/34.69 | ALPHA: (fact_realpow__minus__mult) implies:
% 226.38/34.69 | (65) ? [v0: $i] : ? [v1: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) =
% 226.38/34.69 | v1 & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v1) & $i(v0)
% 226.38/34.69 | & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6:
% 226.38/34.69 | $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : !
% 226.38/34.69 | [v11: $i] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v1)
% 226.38/34.69 | = v8) | ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~
% 226.38/34.69 | (c_Power_Opower__class_Opower(v4) = v6) | ~ (hAPP(v10, v2) = v11)
% 226.38/34.69 | | ~ (hAPP(v7, v8) = v9) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5,
% 226.38/34.69 | v9) = v10) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 226.38/34.69 | class_Groups_Omonoid__mult(v4) | ~
% 226.38/34.69 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) | (hAPP(v7, v3)
% 226.38/34.69 | = v11 & $i(v11))))
% 226.38/34.69 |
% 226.38/34.69 | ALPHA: (fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J)
% 226.38/34.69 | implies:
% 226.38/34.69 | (66) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v0) &
% 226.38/34.69 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 226.38/34.69 | (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v3, v1) = v4) |
% 226.38/34.69 | ~ $i(v2) | ~ $i(v1) | ~ class_Rings_Ocomm__semiring__1(v2) |
% 226.38/34.69 | hAPP(v4, v0) = v1))
% 226.38/34.69 |
% 226.38/34.69 | ALPHA: (fact_k1n) implies:
% 226.38/34.69 | (67) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 226.38/34.69 | (c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 226.38/34.69 | v_pa____) = v2 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____,
% 226.38/34.69 | v0) = v1 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v2) &
% 226.38/34.69 | $i(v1) & $i(v0) & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1,
% 226.38/34.69 | v2))
% 226.38/34.69 |
% 226.38/34.69 | 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)
% 226.38/34.69 | implies:
% 226.38/34.69 | (68) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 226.38/34.69 | (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = v2 &
% 226.38/34.69 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v1 &
% 226.38/34.69 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v3) & $i(v2)
% 226.38/34.69 | & $i(v1) & $i(v0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 226.38/34.69 | v0, v3) & ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v2, v4) = v5) | ~
% 226.38/34.69 | $i(v4) | ? [v6: $i] : ? [v7: $i] :
% 226.38/34.69 | ((c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v7 &
% 226.38/34.69 | $i(v7) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 226.38/34.69 | v7, v3)) |
% 226.38/34.69 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v4) = v6 &
% 226.38/34.69 | $i(v6) & ~
% 226.38/34.69 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6,
% 226.38/34.69 | v1)))))
% 226.38/34.69 |
% 226.38/34.69 | ALPHA: (fact_cq0) implies:
% 226.38/34.69 | (69) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 226.38/34.69 | (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v0 &
% 226.38/34.69 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____) = v4 &
% 226.38/34.69 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3 &
% 226.38/34.69 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 & hAPP(v0, v1)
% 226.38/34.69 | = v2 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ! [v5: $i] : !
% 226.38/34.69 | [v6: $i] : ( ~ (hAPP(v4, v5) = v6) | ~ $i(v5) | ? [v7: $i] :
% 226.38/34.69 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v6) = v7 &
% 226.38/34.69 | $i(v7) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3,
% 226.38/34.69 | v7))))
% 226.38/34.69 |
% 226.38/34.69 | ALPHA: (fact_a00) implies:
% 226.38/34.69 | (70) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ( ~ (v2 = v1) &
% 226.38/34.69 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v0 &
% 226.38/34.69 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 & hAPP(v0, v1)
% 226.38/34.69 | = v2 & $i(v2) & $i(v1) & $i(v0))
% 226.38/34.69 |
% 226.38/34.69 | ALPHA: (fact_q_I2_J) implies:
% 226.38/34.69 | (71) ? [v0: $i] : ? [v1: $i] : (c_Polynomial_Opoly(tc_Complex_Ocomplex,
% 226.38/34.69 | v_q____) = v0 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____)
% 226.38/34.69 | = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~ (hAPP(v0,
% 226.38/34.69 | v2) = v3) | ~ $i(v2) | ? [v4: $i] :
% 226.38/34.69 | (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_c____, v2) =
% 226.38/34.69 | v4 & hAPP(v1, v4) = v3 & $i(v4) & $i(v3))))
% 226.38/34.69 |
% 226.38/34.69 | ALPHA: (fact_qnc) implies:
% 226.38/34.69 | (72) ? [v0: $i] : (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v0 &
% 226.38/34.69 | $i(v0) & ~
% 226.38/34.69 | c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,
% 226.38/34.69 | tc_Complex_Ocomplex, v0))
% 226.38/34.69 |
% 226.38/34.69 | ALPHA: (fact_pqc0) implies:
% 226.38/34.69 | (73) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 226.38/34.69 | (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v2 &
% 226.38/34.69 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____) = v0 &
% 226.38/34.69 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v3 & hAPP(v2, v3)
% 226.38/34.69 | = v1 & hAPP(v0, v_c____) = v1 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 226.38/34.69 |
% 226.38/34.69 | ALPHA: (fact_kas_I3_J) implies:
% 226.38/34.69 | (74) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 226.38/34.69 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 226.38/34.69 | (c_Polynomial_Osmult(tc_Complex_Ocomplex, v7, v_q____) = v8 &
% 226.38/34.69 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 226.38/34.69 | v8) = v3 &
% 226.38/34.69 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 226.38/34.69 | v_s____) = v0 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) =
% 226.38/34.69 | v4 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v2) = v3 &
% 226.38/34.69 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v_k____) = v1 &
% 226.38/34.69 | c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, v6) = v7 &
% 226.38/34.69 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v2 &
% 226.38/34.69 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v5 & hAPP(v4, v5)
% 226.38/34.69 | = v6 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2)
% 226.38/34.69 | & $i(v1) & $i(v0))
% 226.38/34.69 |
% 226.38/34.69 | ALPHA: (fact_less_Ohyps) implies:
% 226.38/34.69 | (75) ? [v0: $i] : ? [v1: $i] :
% 226.38/34.69 | (c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 226.38/34.69 | v_pa____) = v0 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)
% 226.38/34.69 | = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~
% 226.38/34.69 | (c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 226.38/34.69 | v2) = v3) | ~ $i(v2) | ~
% 226.38/34.69 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v0) | ? [v4: $i] :
% 226.38/34.69 | ? [v5: $i] : ? [v6: $i] :
% 226.38/34.69 | (c_Polynomial_Opoly(tc_Complex_Ocomplex, v2) = v4 & $i(v5) &
% 226.38/34.69 | $i(v4) &
% 226.38/34.69 | (c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,
% 226.38/34.69 | tc_Complex_Ocomplex, v4) | (v6 = v1 & hAPP(v4, v5) = v1)))))
% 226.38/34.69 |
% 226.38/34.69 | ALPHA: (fact__096poly_Ap_Ac_A_061_A0_A_061_061_062_AEX_Az_O_Apoly_Ap_Az_A_061_A0_096)
% 226.38/34.69 | implies:
% 226.38/34.69 | (76) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 226.38/34.69 | (c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____) = v0 &
% 226.38/34.69 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 & $i(v3) &
% 226.38/34.69 | $i(v2) & $i(v0) & ((v4 = v2 & hAPP(v0, v3) = v2) | ( ~ (v2 = v1) &
% 226.38/34.69 | hAPP(v0, v_c____) = v1 & $i(v1))))
% 226.38/34.69 |
% 226.38/34.69 | ALPHA: (fact_qr) implies:
% 226.38/34.69 | (77) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 226.38/34.69 | ? [v5: $i] : ? [v6: $i] : (c_Polynomial_Osmult(tc_Complex_Ocomplex,
% 226.38/34.69 | v4, v_q____) = v5 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v5) =
% 226.38/34.69 | v6 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v0 &
% 226.38/34.69 | c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, v3) = v4 &
% 226.38/34.69 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v1 &
% 226.38/34.69 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 & hAPP(v0, v2)
% 226.38/34.69 | = v3 & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)
% 226.38/34.69 | & ! [v7: $i] : ! [v8: $i] : ( ~ (hAPP(v6, v7) = v8) | ~ $i(v7) |
% 226.38/34.69 | ? [v9: $i] : ? [v10: $i] : (hAPP(v10, v3) = v9 & hAPP(v1, v8) =
% 226.38/34.69 | v10 & hAPP(v0, v7) = v9 & $i(v10) & $i(v9))))
% 226.38/34.69 |
% 226.38/34.69 | 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)
% 226.38/34.69 | implies:
% 226.38/34.69 | (78) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 226.38/34.69 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 226.38/34.69 | (c_Polynomial_Osmult(tc_Complex_Ocomplex, v4, v_q____) = v5 &
% 226.38/34.69 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v5) = v6 &
% 226.38/34.69 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v0 &
% 226.38/34.69 | c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, v2) = v4 &
% 226.38/34.69 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v3 &
% 226.38/34.69 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 & hAPP(v8, v2)
% 226.38/34.69 | = v2 & hAPP(v6, v1) = v7 & hAPP(v3, v7) = v8 & hAPP(v0, v1) = v2 &
% 226.38/34.69 | $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) &
% 226.38/34.69 | $i(v1) & $i(v0))
% 226.38/34.69 |
% 226.38/34.69 | ALPHA: (fact_r01) implies:
% 226.38/34.69 | (79) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 226.38/34.69 | ? [v5: $i] : ? [v6: $i] : (c_Polynomial_Osmult(tc_Complex_Ocomplex,
% 226.38/34.69 | v3, v_q____) = v4 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v4) =
% 226.38/34.69 | v5 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v0 &
% 226.38/34.69 | c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, v2) = v3 &
% 226.38/34.69 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v6 &
% 226.38/34.69 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 & hAPP(v5, v1)
% 226.38/34.69 | = v6 & hAPP(v0, v1) = v2 & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 226.38/34.69 | $i(v2) & $i(v1) & $i(v0))
% 226.38/34.69 |
% 226.38/34.69 | ALPHA: (fact_lgqr) implies:
% 226.38/34.69 | (80) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 226.38/34.69 | ? [v5: $i] : (c_Polynomial_Osmult(tc_Complex_Ocomplex, v4, v_q____) =
% 226.38/34.69 | v5 &
% 226.38/34.69 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 226.38/34.69 | v5) = v0 &
% 226.38/34.69 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 226.38/34.69 | v_q____) = v0 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) =
% 226.38/34.69 | v1 & c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, v3) = v4
% 226.38/34.69 | & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v2 & hAPP(v1,
% 226.38/34.69 | v2) = v3 & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 226.38/34.69 |
% 226.38/34.69 | ALPHA: (fact_rnc) implies:
% 226.38/34.69 | (81) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 226.38/34.69 | ? [v5: $i] : (c_Polynomial_Osmult(tc_Complex_Ocomplex, v3, v_q____) =
% 226.38/34.69 | v4 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v4) = v5 &
% 226.38/34.69 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v0 &
% 226.38/34.69 | c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, v2) = v3 &
% 226.38/34.69 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 & hAPP(v0, v1)
% 226.38/34.69 | = v2 & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ~
% 226.38/34.69 | c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,
% 226.38/34.69 | tc_Complex_Ocomplex, v5))
% 226.38/34.69 |
% 226.38/34.69 | ALPHA: (fact_mrmq__eq) implies:
% 226.38/34.69 | (82) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 226.38/34.69 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 226.38/34.69 | (c_Polynomial_Osmult(tc_Complex_Ocomplex, v3, v_q____) = v4 &
% 226.38/34.69 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v4) = v5 &
% 226.38/34.69 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v0 &
% 226.38/34.69 | c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, v2) = v3 &
% 226.38/34.69 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v6 &
% 226.38/34.69 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v7 &
% 226.38/34.69 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 & hAPP(v0, v1)
% 226.38/34.69 | = v2 & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1)
% 226.38/34.69 | & $i(v0) & ! [v8: $i] : ! [v9: $i] : ( ~ (hAPP(v5, v8) = v9) | ~
% 226.38/34.69 | $i(v8) | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] :
% 226.38/34.69 | ((c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v11) = v12
% 226.38/34.69 | & hAPP(v0, v8) = v11 & $i(v12) & $i(v11) &
% 226.38/34.69 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12, v7)) |
% 226.38/34.69 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v9) = v10
% 226.38/34.69 | & $i(v10) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 226.38/34.69 | v10, v6)))) & ! [v8: $i] : ! [v9: $i] : ( ~ (hAPP(v5, v8)
% 226.38/34.69 | = v9) | ~ $i(v8) | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] :
% 226.38/34.69 | ((c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v10) = v11
% 226.38/34.69 | & hAPP(v0, v8) = v10 & $i(v11) & $i(v10) & ~
% 226.38/34.69 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11, v7)) |
% 226.38/34.69 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v9) = v12
% 226.38/34.69 | & $i(v12) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 226.38/34.69 | v12, v6)))))
% 226.38/34.69 |
% 226.38/34.69 | ALPHA: (fact_kas_I4_J) implies:
% 226.38/34.70 | (83) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 226.38/34.70 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 226.38/34.70 | ? [v10: $i] : (c_Polynomial_OpCons(tc_Complex_Ocomplex, v_a____,
% 226.38/34.70 | v_s____) = v9 & c_Polynomial_Osmult(tc_Complex_Ocomplex, v3,
% 226.38/34.70 | v_q____) = v4 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v9) = v10
% 226.38/34.70 | & c_Polynomial_Opoly(tc_Complex_Ocomplex, v4) = v5 &
% 226.38/34.70 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v0 &
% 226.38/34.70 | c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, v2) = v3 &
% 226.38/34.70 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v7 &
% 226.38/34.70 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v8 &
% 226.38/34.70 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 & hAPP(v5, v1)
% 226.38/34.70 | = v6 & hAPP(v0, v1) = v2 & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 226.38/34.70 | $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & !
% 226.38/34.70 | [v11: $i] : ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ! [v15:
% 226.38/34.70 | $i] : ! [v16: $i] : ( ~ (hAPP(v14, v15) = v16) | ~ (hAPP(v12,
% 226.38/34.70 | v_k____) = v13) | ~ (hAPP(v10, v11) = v15) | ~ (hAPP(v8,
% 226.38/34.70 | v11) = v12) | ~ (hAPP(v7, v13) = v14) | ~ $i(v11) | ? [v17:
% 226.38/34.70 | $i] : (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v6, v16)
% 226.38/34.70 | = v17 & hAPP(v5, v11) = v17 & $i(v17))))
% 226.38/34.70 |
% 226.38/34.70 | ALPHA: (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)
% 226.38/34.70 | implies:
% 226.38/34.70 | (84) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 226.38/34.70 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : (
% 226.38/34.70 | ~ (v9 = v8) & c_Polynomial_Osmult(tc_Complex_Ocomplex, v3, v_q____)
% 226.38/34.70 | = v4 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v4) = v5 &
% 226.38/34.70 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v0 &
% 226.38/34.70 | c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, v2) = v3 &
% 226.38/34.70 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v1 & hAPP(v5, v7)
% 226.38/34.70 | = v9 & hAPP(v5, v6) = v8 & hAPP(v0, v1) = v2 & $i(v9) & $i(v8) &
% 226.38/34.70 | $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 226.38/34.70 | $i(v0))
% 226.38/34.70 |
% 226.38/34.70 | ALPHA: (fact_th01) implies:
% 226.38/34.70 | (85) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 226.38/34.70 | ? [v5: $i] : (c_Polynomial_Omonom(tc_Complex_Ocomplex, v_a____, v2) =
% 226.38/34.70 | v3 & c_Polynomial_OpCons(tc_Complex_Ocomplex, v0, v3) = v4 &
% 226.38/34.70 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v_k____, v1) = v2 &
% 226.38/34.70 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v4) = v5 &
% 226.38/34.70 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 &
% 226.38/34.70 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 & $i(v5) &
% 226.38/34.70 | $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ~
% 226.38/34.70 | c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,
% 226.38/34.70 | tc_Complex_Ocomplex, v5))
% 226.38/34.70 |
% 226.38/34.70 | ALPHA: (fact_th02) implies:
% 226.38/34.70 | (86) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 226.38/34.70 | ? [v5: $i] : (c_Polynomial_Omonom(tc_Complex_Ocomplex, v_a____, v3) =
% 226.38/34.70 | v4 & c_Polynomial_OpCons(tc_Complex_Ocomplex, v2, v4) = v5 &
% 226.38/34.70 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 226.38/34.70 | v5) = v1 & c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v_k____, v0)
% 226.38/34.70 | = v3 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, v0) = v1 &
% 226.38/34.70 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 &
% 226.38/34.70 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v2 & $i(v5) &
% 226.38/34.70 | $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 226.38/34.70 |
% 226.38/34.70 | 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)
% 226.38/34.70 | implies:
% 226.38/34.70 | (87) $i(v_a____)
% 226.38/34.70 | (88) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 226.38/34.70 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] :
% 226.38/34.70 | (c_Polynomial_Omonom(tc_Complex_Ocomplex, v_a____, v2) = v3 &
% 226.38/34.70 | c_Polynomial_OpCons(tc_Complex_Ocomplex, v0, v3) = v4 &
% 226.38/34.70 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v_k____, v1) = v2 &
% 226.38/34.70 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v4) = v5 &
% 226.38/34.70 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 &
% 226.38/34.70 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 &
% 226.38/34.70 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v6 & hAPP(v5, v7)
% 226.38/34.70 | = v6 & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1)
% 226.38/34.70 | & $i(v0))
% 226.38/34.70 |
% 226.38/34.70 | ALPHA: (fact_unimodular__reduce__norm) implies:
% 226.38/34.70 | (89) ? [v0: $i] : ? [v1: $i] :
% 226.38/34.70 | (c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v1 &
% 226.38/34.70 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0) &
% 226.38/34.70 | ! [v2: $i] : ! [v3: $i] : ( ~
% 226.38/34.70 | (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v2, v1) = v3)
% 226.38/34.70 | | ~ $i(v2) | ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7:
% 226.38/34.70 | $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] :
% 226.38/34.70 | (( ~ (v4 = v0) &
% 226.38/34.70 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v4
% 226.38/34.70 | & $i(v4)) |
% 226.38/34.70 | (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v2,
% 226.38/34.70 | c_Complex_Oii) = v10 &
% 226.38/34.70 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v10) =
% 226.38/34.70 | v11 & $i(v11) & $i(v10) &
% 226.38/34.70 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11, v0)) |
% 226.38/34.70 | (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v2, v1) = v5 &
% 226.38/34.70 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v5) = v6
% 226.38/34.70 | & $i(v6) & $i(v5) &
% 226.38/34.70 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v0)) |
% 226.38/34.70 | (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v2,
% 226.38/34.70 | c_Complex_Oii) = v8 &
% 226.38/34.70 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v8) = v9
% 226.38/34.70 | & $i(v9) & $i(v8) &
% 226.38/34.70 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9, v0)) |
% 226.38/34.70 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v7 &
% 226.38/34.70 | $i(v7) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7,
% 226.38/34.70 | v0)))))
% 226.38/34.70 |
% 226.38/34.70 | ALPHA: (fact_complex__i__not__zero) implies:
% 226.38/34.70 | (90) ? [v0: $i] : ( ~ (v0 = c_Complex_Oii) &
% 226.38/34.70 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0 & $i(v0))
% 226.38/34.70 |
% 226.38/34.70 | ALPHA: (fact_complex__i__not__one) implies:
% 226.38/34.70 | (91) ? [v0: $i] : ( ~ (v0 = c_Complex_Oii) &
% 226.38/34.70 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v0 & $i(v0))
% 226.38/34.70 |
% 226.38/34.70 | ALPHA: (fact_complex__i__mult__minus) implies:
% 226.38/34.70 | (92) ? [v0: $i] : ? [v1: $i] :
% 226.38/34.70 | (c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v0 & hAPP(v0,
% 226.38/34.70 | c_Complex_Oii) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i]
% 226.38/34.70 | : ( ~ (hAPP(v1, v2) = v3) | ~ $i(v2) | ? [v4: $i] :
% 226.38/34.70 | (c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v2) = v4 &
% 226.38/34.70 | hAPP(v1, v3) = v4 & $i(v4))))
% 226.38/34.70 |
% 226.38/34.70 | ALPHA: (fact_inverse__i) implies:
% 226.38/34.70 | (93) ? [v0: $i] : (c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex,
% 226.38/34.70 | c_Complex_Oii) = v0 &
% 226.38/34.70 | c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, c_Complex_Oii)
% 226.38/34.70 | = v0 & $i(v0))
% 226.38/34.70 |
% 226.38/34.70 | ALPHA: (fact_i__mult__eq2) implies:
% 226.38/34.70 | (94) $i(c_Complex_Oii)
% 226.38/34.70 | (95) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 226.38/34.70 | (c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v3) = v2 &
% 226.38/34.70 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v0 &
% 226.38/34.70 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v3 & hAPP(v1,
% 226.38/34.70 | c_Complex_Oii) = v2 & hAPP(v0, c_Complex_Oii) = v1 & $i(v3) &
% 226.38/34.70 | $i(v2) & $i(v1) & $i(v0))
% 226.38/34.70 |
% 226.38/34.70 | 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)
% 226.38/34.70 | implies:
% 226.38/34.70 | (96) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 226.38/34.70 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 226.38/34.70 | ? [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14:
% 226.38/34.70 | $i] : ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : (
% 226.38/34.70 | ~ (v13 = v0) & ~ (v12 = v1) &
% 226.38/34.70 | c_Polynomial_OpCons(tc_Complex_Ocomplex, v13, v14) = v17 &
% 226.38/34.70 | c_Polynomial_Osmult(tc_Complex_Ocomplex, v5, v_q____) = v6 &
% 226.38/34.70 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 226.38/34.70 | v14) = v15 &
% 226.38/34.70 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 226.38/34.70 | v6) = v7 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v17) = v18 &
% 226.38/34.70 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v6) = v8 &
% 226.38/34.70 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = v3 &
% 226.38/34.70 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v16, v2) = v7 &
% 226.38/34.70 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v15, v12) = v16 &
% 226.38/34.70 | c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, v4) = v5 &
% 226.38/34.70 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v10 &
% 226.38/34.70 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v11 &
% 226.38/34.70 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v2 &
% 226.38/34.70 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 &
% 226.38/34.70 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0 & hAPP(v8, v0)
% 226.38/34.70 | = v9 & hAPP(v3, v0) = v4 & $i(v18) & $i(v17) & $i(v16) & $i(v15) &
% 226.38/34.70 | $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) &
% 226.38/34.70 | $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) &
% 226.38/34.70 | $i(v0) & ! [v19: $i] : ! [v20: $i] : ( ~ (hAPP(v8, v19) = v20) |
% 226.38/34.70 | ~ $i(v19) | ? [v21: $i] : ? [v22: $i] : ? [v23: $i] : ? [v24:
% 226.38/34.70 | $i] : ? [v25: $i] :
% 226.38/34.70 | (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v9, v25) = v20 &
% 226.38/34.70 | hAPP(v23, v24) = v25 & hAPP(v21, v12) = v22 & hAPP(v18, v19) =
% 226.38/34.70 | v24 & hAPP(v11, v19) = v21 & hAPP(v10, v22) = v23 & $i(v25) &
% 226.38/34.70 | $i(v24) & $i(v23) & $i(v22) & $i(v21) & $i(v20))))
% 226.38/34.70 |
% 226.38/34.70 | ALPHA: (fact_lemmaCauchy) implies:
% 226.38/34.70 | (97) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 &
% 226.38/34.70 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 226.38/34.70 | [v5: $i] : ! [v6: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v4,
% 226.38/34.70 | v5) = v6) | ~ (hAPP(v1, v2) = v5) | ~ $i(v4) | ~ $i(v3) |
% 226.38/34.70 | ~ $i(v2) | ~ $i(v1) | ~ class_Orderings_Oord(v3) | ~
% 226.38/34.70 | class_RealVector_Oreal__normed__vector(v4) | ? [v7: $i] : ? [v8:
% 226.38/34.70 | $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ($i(v8) &
% 226.38/34.70 | ((c_Groups_Ominus__class_Ominus(v4, v5, v9) = v10 &
% 226.38/34.70 | c_RealVector_Onorm__class_Onorm(v4, v10) = v11 & hAPP(v1,
% 226.38/34.70 | v8) = v9 & $i(v11) & $i(v10) & $i(v9) &
% 226.38/34.70 | c_Orderings_Oord__class_Oless__eq(v3, v2, v8) & ~
% 226.38/34.70 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11, v0)) |
% 226.38/34.70 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v0, v6) = v7 &
% 226.38/34.70 | $i(v7) & ! [v12: $i] : ! [v13: $i] : ! [v14: $i] : ( ~
% 226.38/34.70 | (c_RealVector_Onorm__class_Onorm(v4, v13) = v14) | ~
% 226.38/34.70 | (hAPP(v1, v12) = v13) | ~ $i(v12) | ~
% 226.38/34.70 | c_Orderings_Oord__class_Oless__eq(v3, v2, v12) |
% 226.38/34.70 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v14,
% 226.38/34.70 | v7)))))))
% 226.38/34.70 |
% 226.38/34.70 | ALPHA: (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)
% 226.38/34.70 | implies:
% 226.38/34.70 | (98) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 226.38/34.70 | (c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 226.38/34.70 | v2) = v0 &
% 226.38/34.70 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 226.38/34.70 | v_pa____) = v0 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v2) = v3
% 226.38/34.70 | & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____) = v1 & $i(v3) &
% 226.38/34.70 | $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ( ~
% 226.38/34.70 | (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_c____, v4) =
% 226.38/34.70 | v5) | ~ $i(v4) | ? [v6: $i] : (hAPP(v3, v4) = v6 & hAPP(v1,
% 226.38/34.70 | v5) = v6 & $i(v6))))
% 226.38/34.70 |
% 226.38/34.70 | ALPHA: (fact_mult__left_Opos__bounded) implies:
% 226.38/34.70 | (99) ? [v0: $i] : ? [v1: $i] :
% 226.38/34.70 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 226.38/34.70 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) & $i(v0)
% 226.38/34.70 | & ? [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 226.38/34.70 | (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ $i(v3) | ~ $i(v2) |
% 226.38/34.70 | ~ class_RealVector_Oreal__normed__algebra(v3) | ? [v5: $i] :
% 226.38/34.70 | ($i(v5) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v5)
% 226.38/34.70 | & ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~
% 226.38/34.70 | (c_RealVector_Onorm__class_Onorm(v3, v6) = v7) | ~ (hAPP(v8,
% 226.38/34.70 | v5) = v9) | ~ (hAPP(v1, v7) = v8) | ~ $i(v6) | ? [v10:
% 226.38/34.70 | $i] : ? [v11: $i] : ? [v12: $i] :
% 226.38/34.70 | (c_RealVector_Onorm__class_Onorm(v3, v11) = v12 & hAPP(v10,
% 226.38/34.70 | v2) = v11 & hAPP(v4, v6) = v10 & $i(v12) & $i(v11) &
% 226.38/34.70 | $i(v10) &
% 226.38/34.70 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v12,
% 226.38/34.70 | v9))))))
% 226.38/34.70 |
% 226.38/34.70 | ALPHA: (fact_mult_Opos__bounded) implies:
% 226.38/34.71 | (100) ? [v0: $i] : ? [v1: $i] :
% 226.38/34.71 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 226.38/34.71 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) &
% 226.38/34.71 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~
% 226.38/34.71 | (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ $i(v2) | ~
% 226.38/34.71 | class_RealVector_Oreal__normed__algebra(v2) | ? [v4: $i] :
% 226.38/34.71 | ($i(v4) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v4)
% 226.38/34.71 | & ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : !
% 226.38/34.71 | [v9: $i] : ! [v10: $i] : ! [v11: $i] : ! [v12: $i] : ( ~
% 226.38/34.71 | (c_RealVector_Onorm__class_Onorm(v2, v6) = v9) | ~
% 226.38/34.71 | (c_RealVector_Onorm__class_Onorm(v2, v5) = v7) | ~
% 226.38/34.71 | (hAPP(v11, v4) = v12) | ~ (hAPP(v8, v9) = v10) | ~
% 226.38/34.71 | (hAPP(v1, v10) = v11) | ~ (hAPP(v1, v7) = v8) | ~ $i(v6) |
% 226.38/34.71 | ~ $i(v5) | ? [v13: $i] : ? [v14: $i] : ? [v15: $i] :
% 226.38/34.71 | (c_RealVector_Onorm__class_Onorm(v2, v14) = v15 & hAPP(v13,
% 226.38/34.71 | v6) = v14 & hAPP(v3, v5) = v13 & $i(v15) & $i(v14) &
% 226.38/34.71 | $i(v13) &
% 226.38/34.71 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v15,
% 226.38/34.71 | v12))))))
% 226.38/34.71 |
% 226.38/34.71 | ALPHA: (fact_mult__right_Opos__bounded) implies:
% 226.38/34.71 | (101) ? [v0: $i] : ? [v1: $i] :
% 226.38/34.71 | (c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 226.38/34.71 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) &
% 226.38/34.71 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (
% 226.38/34.71 | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v4, v2) =
% 226.38/34.71 | v5) | ~ $i(v3) | ~ $i(v2) | ~
% 226.38/34.71 | class_RealVector_Oreal__normed__algebra(v3) | ? [v6: $i] :
% 226.38/34.71 | ($i(v6) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v6)
% 226.38/34.71 | & ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ( ~
% 226.38/34.71 | (c_RealVector_Onorm__class_Onorm(v3, v7) = v8) | ~ (hAPP(v9,
% 226.38/34.71 | v6) = v10) | ~ (hAPP(v1, v8) = v9) | ~ $i(v7) | ?
% 226.38/34.71 | [v11: $i] : ? [v12: $i] :
% 226.38/34.71 | (c_RealVector_Onorm__class_Onorm(v3, v11) = v12 & hAPP(v5,
% 226.38/34.71 | v7) = v11 & $i(v12) & $i(v11) &
% 226.38/34.71 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v12,
% 226.38/34.71 | v10))))))
% 226.38/34.71 |
% 226.38/34.71 | ALPHA: (fact_poly__cont) implies:
% 226.38/34.71 | (102) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 226.38/34.71 | $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 226.38/34.71 | [v5: $i] : ( ~ (c_Polynomial_Opoly(tc_Complex_Ocomplex, v1) = v4) |
% 226.38/34.71 | ~ (hAPP(v4, v2) = v5) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~
% 226.38/34.71 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) | ? [v6:
% 226.38/34.71 | $i] : ($i(v6) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 226.38/34.71 | v0, v6) & ! [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~
% 226.38/34.71 | (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v8, v5) =
% 226.38/34.71 | v9) | ~ (hAPP(v4, v7) = v8) | ~ $i(v7) | ? [v10: $i] :
% 226.38/34.71 | ? [v11: $i] : ? [v12: $i] :
% 226.38/34.71 | ((c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v7, v2)
% 226.38/34.71 | = v10 &
% 226.38/34.71 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v10)
% 226.38/34.71 | = v11 & $i(v11) & $i(v10) & ( ~
% 226.38/34.71 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11,
% 226.38/34.71 | v6) | ~
% 226.38/34.71 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 226.38/34.71 | v11))) |
% 226.38/34.71 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v9) =
% 226.38/34.71 | v12 & $i(v12) &
% 226.38/34.71 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12,
% 226.38/34.71 | v3)))))))
% 226.38/34.71 |
% 226.38/34.71 | ALPHA: (fact_norm__sgn) implies:
% 226.38/34.71 | (103) ? [v0: $i] : ? [v1: $i] :
% 226.38/34.71 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 226.38/34.71 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) &
% 226.38/34.71 | $i(v0) & ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (
% 226.38/34.71 | ~ (c_Groups_Osgn__class_Osgn(v3, v2) = v4) | ~
% 226.38/34.71 | (c_RealVector_Onorm__class_Onorm(v3, v4) = v5) | ~ $i(v3) | ~
% 226.38/34.71 | $i(v2) | ~ class_RealVector_Oreal__normed__vector(v3) | ? [v6:
% 226.38/34.71 | $i] : ((v5 = v1 | (v6 = v2 & c_Groups_Ozero__class_Ozero(v3) =
% 226.38/34.71 | v2)) & (v5 = v0 | ( ~ (v6 = v2) &
% 226.38/34.71 | c_Groups_Ozero__class_Ozero(v3) = v6 & $i(v6))))))
% 226.38/34.71 |
% 226.38/34.71 | ALPHA: (fact_nat__dvd__1__iff__1) implies:
% 226.38/34.71 | (104) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v0) &
% 226.38/34.71 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v0, v0) & ! [v1: $i] : (v1 =
% 226.38/34.71 | v0 | ~ $i(v1) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1,
% 226.38/34.71 | v0)))
% 226.38/34.71 |
% 226.38/34.71 | ALPHA: (fact_real__sgn__pos) implies:
% 226.38/34.71 | (105) ? [v0: $i] : ? [v1: $i] :
% 226.38/34.71 | (c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 226.38/34.71 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v1) &
% 226.38/34.71 | $i(v0) & ! [v2: $i] : ! [v3: $i] : (v3 = v1 | ~
% 226.38/34.71 | (c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, v2) = v3) | ~
% 226.38/34.71 | $i(v2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 226.38/34.71 | v2)))
% 226.38/34.71 |
% 226.38/34.71 | ALPHA: (fact_dvd__mult__cancel1) implies:
% 226.38/34.71 | (106) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 226.38/34.71 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v1 &
% 226.38/34.71 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v2 &
% 226.38/34.71 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v2) & $i(v1) &
% 226.38/34.71 | $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] :
% 226.38/34.71 | (v3 = v2 | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v1, v4) = v5) | ~
% 226.38/34.71 | $i(v4) | ~ $i(v3) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v6,
% 226.38/34.71 | v4) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v4)) &
% 226.38/34.71 | ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v4, v2) = v5) |
% 226.38/34.71 | ~ (hAPP(v1, v3) = v4) | ~ $i(v3) | ~
% 226.38/34.71 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) |
% 226.38/34.71 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v5, v3)))
% 226.38/34.71 |
% 226.38/34.71 | ALPHA: (fact_dvd__mult__cancel2) implies:
% 226.38/34.71 | (107) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 226.38/34.71 | (c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v1 &
% 226.38/34.71 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v2 &
% 226.38/34.71 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & $i(v2) & $i(v1) &
% 226.38/34.71 | $i(v0) & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] :
% 226.38/34.71 | (v3 = v2 | ~ (hAPP(v5, v4) = v6) | ~ (hAPP(v1, v3) = v5) | ~
% 226.38/34.71 | $i(v4) | ~ $i(v3) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v6,
% 226.38/34.71 | v4) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v4)) &
% 226.38/34.71 | ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v4, v3) = v5) |
% 226.38/34.71 | ~ (hAPP(v1, v2) = v4) | ~ $i(v3) | ~
% 226.38/34.71 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v3) |
% 226.38/34.71 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v5, v3)))
% 226.38/34.71 |
% 226.38/34.71 | ALPHA: (fact_power__dvd__imp__le) implies:
% 226.38/34.71 | (108) ? [v0: $i] : ? [v1: $i] :
% 226.38/34.71 | (c_Power_Opower__class_Opower(tc_Nat_Onat) = v0 &
% 226.38/34.71 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v1 & $i(v1) & $i(v0) & !
% 226.38/34.71 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] :
% 226.38/34.71 | ! [v7: $i] : ( ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v7) | ~
% 226.38/34.71 | (hAPP(v0, v4) = v5) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) | ~
% 226.38/34.71 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v6, v7) | ~
% 226.38/34.71 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v4) |
% 226.38/34.71 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v2)))
% 226.38/34.71 |
% 226.38/34.71 | ALPHA: (fact_sgn__real__def) implies:
% 226.38/34.71 | (109) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] :
% 226.38/34.71 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2 &
% 226.38/34.71 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v1 &
% 226.38/34.71 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & $i(v2) &
% 226.38/34.71 | $i(v1) & $i(v0) & ! [v3: $i] : ! [v4: $i] : (v4 = v2 | v3 = v0 |
% 226.38/34.71 | ~ (c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, v3) = v4) | ~
% 226.38/34.71 | $i(v3) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3))
% 226.38/34.71 | & ! [v3: $i] : ! [v4: $i] : (v4 = v1 | v3 = v0 | ~
% 226.38/34.71 | (c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, v3) = v4) | ~
% 226.38/34.71 | $i(v3) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 226.38/34.71 | v3)) & ! [v3: $i] : (v3 = v0 | ~
% 226.38/34.71 | (c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, v0) = v3)))
% 226.38/34.71 |
% 226.38/34.71 | ALPHA: (fact_Suc__eq__plus1) implies:
% 226.38/34.71 | (110) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v0) &
% 226.38/34.71 | ! [v1: $i] : ! [v2: $i] : ( ~
% 226.38/34.71 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ~
% 226.38/34.71 | $i(v1) | (c_Nat_OSuc(v1) = v2 & $i(v2))))
% 226.38/34.71 |
% 226.38/34.71 | ALPHA: (fact_Suc__eq__plus1__left) implies:
% 226.38/34.71 | (111) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v0) &
% 226.38/34.71 | ! [v1: $i] : ! [v2: $i] : ( ~
% 226.38/34.71 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v2) | ~
% 226.38/34.71 | $i(v1) | (c_Nat_OSuc(v1) = v2 & $i(v2))))
% 226.38/34.71 |
% 226.38/34.71 | ALPHA: (fact_One__nat__def) implies:
% 226.38/34.71 | (112) ? [v0: $i] : ? [v1: $i] : (c_Nat_OSuc(v1) = v0 &
% 226.38/34.71 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 &
% 226.38/34.71 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v1 & $i(v1) & $i(v0))
% 226.38/34.71 |
% 226.38/34.71 | ALPHA: (fact_diff__Suc__1) implies:
% 226.38/34.71 | (113) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v0) &
% 226.38/34.71 | ! [v1: $i] : ! [v2: $i] : ( ~ (c_Nat_OSuc(v1) = v2) | ~ $i(v1) |
% 226.38/34.71 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v0) = v1))
% 226.38/34.71 |
% 226.38/34.71 | ALPHA: (fact_diff__Suc__eq__diff__pred) implies:
% 226.38/34.71 | (114) ? [v0: $i] : (c_Groups_Oone__class_Oone(tc_Nat_Onat) = v0 & $i(v0) &
% 226.38/34.71 | ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~
% 226.38/34.71 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v1) = v4) | ~
% 226.38/34.71 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v0) = v3) | ~
% 226.38/34.71 | $i(v2) | ~ $i(v1) | ? [v5: $i] : (c_Nat_OSuc(v1) = v5 &
% 226.38/34.71 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v5) = v4 &
% 226.38/34.71 | $i(v5) & $i(v4))))
% 226.38/34.71 |
% 226.38/34.71 | ALPHA: (arity_RealDef__Oreal__Fields_Olinordered__field__inverse__zero)
% 226.38/34.71 | implies:
% 226.38/34.71 | (115) class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal)
% 226.38/34.71 |
% 226.38/34.71 | ALPHA: (arity_RealDef__Oreal__Rings_Olinordered__semiring__strict) implies:
% 226.38/34.71 | (116) class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal)
% 226.38/34.71 |
% 226.38/34.71 | ALPHA: (arity_RealDef__Oreal__Rings_Odivision__ring__inverse__zero) implies:
% 226.38/34.71 | (117) class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal)
% 226.38/34.71 |
% 226.38/34.71 | ALPHA: (arity_RealDef__Oreal__Rings_Oring__1__no__zero__divisors) implies:
% 226.38/34.71 | (118) class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal)
% 226.38/34.71 |
% 226.38/34.71 | ALPHA: (arity_RealDef__Oreal__Rings_Oordered__cancel__semiring) implies:
% 226.38/34.71 | (119) class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal)
% 226.38/34.71 |
% 226.38/34.71 | ALPHA: (arity_RealDef__Oreal__Rings_Olinordered__ring__strict) implies:
% 226.38/34.71 | (120) class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal)
% 226.38/34.71 |
% 226.38/34.71 | ALPHA: (arity_RealDef__Oreal__Rings_Oring__no__zero__divisors) implies:
% 226.38/34.71 | (121) class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal)
% 226.38/34.71 |
% 226.38/34.71 | ALPHA: (arity_RealDef__Oreal__Groups_Oordered__ab__group__add) implies:
% 226.38/34.71 | (122) class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal)
% 226.38/34.71 |
% 226.38/34.71 | ALPHA: (arity_RealDef__Oreal__Rings_Olinordered__semidom) implies:
% 226.38/34.71 | (123) class_Rings_Olinordered__semidom(tc_RealDef_Oreal)
% 226.38/34.71 |
% 226.38/34.71 | ALPHA: (arity_RealDef__Oreal__Fields_Olinordered__field) implies:
% 226.38/34.71 | (124) class_Fields_Olinordered__field(tc_RealDef_Oreal)
% 226.38/34.71 |
% 226.38/34.71 | ALPHA: (arity_RealDef__Oreal__Rings_Ono__zero__divisors) implies:
% 226.63/34.71 | (125) class_Rings_Ono__zero__divisors(tc_RealDef_Oreal)
% 226.63/34.71 |
% 226.63/34.71 | ALPHA: (arity_RealDef__Oreal__Rings_Odivision__ring) implies:
% 226.63/34.71 | (126) class_Rings_Odivision__ring(tc_RealDef_Oreal)
% 226.63/34.71 |
% 226.63/34.71 | ALPHA: (arity_RealDef__Oreal__Rings_Ozero__neq__one) implies:
% 226.63/34.71 | (127) class_Rings_Ozero__neq__one(tc_RealDef_Oreal)
% 226.63/34.71 |
% 226.63/34.71 | ALPHA: (arity_RealDef__Oreal__Rings_Oordered__ring) implies:
% 226.63/34.71 | (128) class_Rings_Oordered__ring(tc_RealDef_Oreal)
% 226.63/34.71 |
% 226.63/34.71 | ALPHA: (arity_RealDef__Oreal__Groups_Ogroup__add) implies:
% 226.63/34.71 | (129) class_Groups_Ogroup__add(tc_RealDef_Oreal)
% 226.63/34.71 |
% 226.63/34.71 | ALPHA: (arity_RealDef__Oreal__Rings_Omult__zero) implies:
% 226.63/34.71 | (130) class_Rings_Omult__zero(tc_RealDef_Oreal)
% 226.63/34.71 |
% 226.63/34.71 | ALPHA: (arity_RealDef__Oreal__Power_Opower) implies:
% 226.63/34.71 | (131) class_Power_Opower(tc_RealDef_Oreal)
% 226.63/34.71 |
% 226.63/34.71 | ALPHA: (arity_Complex__Ocomplex__Rings_Odivision__ring__inverse__zero)
% 226.63/34.71 | implies:
% 226.63/34.71 | (132) class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex)
% 226.63/34.71 |
% 226.63/34.71 | ALPHA: (arity_Complex__Ocomplex__Rings_Oring__1__no__zero__divisors) implies:
% 226.63/34.71 | (133) class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex)
% 226.63/34.71 |
% 226.63/34.71 | ALPHA: (arity_Complex__Ocomplex__RealVector_Oreal__normed__vector) implies:
% 226.63/34.71 | (134) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)
% 226.63/34.71 |
% 226.63/34.71 | ALPHA: (arity_Complex__Ocomplex__Rings_Oring__no__zero__divisors) implies:
% 226.63/34.71 | (135) class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex)
% 226.63/34.71 |
% 226.63/34.71 | ALPHA: (arity_Complex__Ocomplex__Rings_Ono__zero__divisors) implies:
% 226.63/34.71 | (136) class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex)
% 226.63/34.71 |
% 226.63/34.71 | ALPHA: (arity_Complex__Ocomplex__Rings_Odivision__ring) implies:
% 226.63/34.71 | (137) class_Rings_Odivision__ring(tc_Complex_Ocomplex)
% 226.63/34.71 |
% 226.63/34.71 | ALPHA: (arity_Complex__Ocomplex__Rings_Ozero__neq__one) implies:
% 226.63/34.71 | (138) class_Rings_Ozero__neq__one(tc_Complex_Ocomplex)
% 226.63/34.71 |
% 226.63/34.71 | ALPHA: (arity_Complex__Ocomplex__Groups_Ogroup__add) implies:
% 226.63/34.71 | (139) class_Groups_Ogroup__add(tc_Complex_Ocomplex)
% 226.63/34.71 |
% 226.63/34.71 | ALPHA: (arity_Complex__Ocomplex__Rings_Omult__zero) implies:
% 226.63/34.71 | (140) class_Rings_Omult__zero(tc_Complex_Ocomplex)
% 226.63/34.71 |
% 226.63/34.71 | ALPHA: (arity_Complex__Ocomplex__Power_Opower) implies:
% 226.63/34.71 | (141) class_Power_Opower(tc_Complex_Ocomplex)
% 226.63/34.71 |
% 226.63/34.71 | ALPHA: (conj_0) implies:
% 226.63/34.71 | (142) $i(tc_RealDef_Oreal)
% 226.63/34.71 | (143) $i(v_m____)
% 226.63/34.72 | (144) $i(tc_Complex_Ocomplex)
% 226.63/34.72 | (145) $i(v_w____)
% 226.63/34.72 | (146) $i(v_k____)
% 226.63/34.72 | (147) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 226.63/34.72 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 226.63/34.72 | ? [v10: $i] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, v5)
% 226.63/34.72 | = v6 & c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v9) = v10
% 226.63/34.72 | & c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v1 &
% 226.63/34.72 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v2 &
% 226.63/34.72 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = v5 &
% 226.63/34.72 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) = v3
% 226.63/34.72 | & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 & hAPP(v8,
% 226.63/34.72 | v_m____) = v9 & hAPP(v4, v6) = v7 & hAPP(v2, v3) = v4 & hAPP(v1,
% 226.63/34.72 | v7) = v8 & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) &
% 226.63/34.72 | $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ~
% 226.63/34.72 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v10))
% 226.63/34.72 |
% 226.63/34.72 | ALPHA: (function-axioms) implies:
% 226.63/34.72 | (148) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 226.63/34.72 | (c_Groups_Ozero__class_Ozero(v2) = v1) | ~
% 226.63/34.72 | (c_Groups_Ozero__class_Ozero(v2) = v0))
% 226.63/34.72 | (149) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 226.63/34.72 | (c_Groups_Oone__class_Oone(v2) = v1) | ~
% 226.63/34.72 | (c_Groups_Oone__class_Oone(v2) = v0))
% 226.63/34.72 | (150) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 226.63/34.72 | (c_Power_Opower__class_Opower(v2) = v1) | ~
% 226.63/34.72 | (c_Power_Opower__class_Opower(v2) = v0))
% 226.63/34.72 | (151) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 226.63/34.72 | (c_Groups_Otimes__class_Otimes(v2) = v1) | ~
% 226.63/34.72 | (c_Groups_Otimes__class_Otimes(v2) = v0))
% 226.63/34.72 | (152) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 226.63/34.72 | (hAPP(v3, v2) = v1) | ~ (hAPP(v3, v2) = v0))
% 226.63/34.72 | (153) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 226.63/34.72 | (c_RealVector_Onorm__class_Onorm(v3, v2) = v1) | ~
% 226.63/34.72 | (c_RealVector_Onorm__class_Onorm(v3, v2) = v0))
% 226.63/34.72 | (154) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 226.63/34.72 | (c_Rings_Oinverse__class_Oinverse(v3, v2) = v1) | ~
% 226.63/34.72 | (c_Rings_Oinverse__class_Oinverse(v3, v2) = v0))
% 226.63/34.72 | (155) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 226.63/34.72 | (c_Polynomial_Opoly(v3, v2) = v1) | ~ (c_Polynomial_Opoly(v3, v2)
% 226.63/34.72 | = v0))
% 226.63/34.72 | (156) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 226.63/34.72 | (c_Groups_Ouminus__class_Ouminus(v3, v2) = v1) | ~
% 226.63/34.72 | (c_Groups_Ouminus__class_Ouminus(v3, v2) = v0))
% 226.63/34.72 | (157) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 226.63/34.72 | (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(v4, v3, v2) = v1) | ~
% 226.63/34.72 | (c_Groups_Oplus__class_Oplus(v4, v3, v2) = v0))
% 226.63/34.72 | (158) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 226.63/34.72 | (v1 = v0 | ~ (c_Polynomial_Osmult(v4, v3, v2) = v1) | ~
% 226.63/34.72 | (c_Polynomial_Osmult(v4, v3, v2) = v0))
% 226.63/34.72 |
% 226.63/34.72 | DELTA: instantiating (35) with fresh symbol all_737_0 gives:
% 226.63/34.72 | (159) c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, all_737_0) =
% 226.63/34.72 | all_737_0 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_737_0
% 226.63/34.72 | & $i(all_737_0)
% 226.63/34.72 |
% 226.63/34.72 | ALPHA: (159) implies:
% 226.63/34.72 | (160) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_737_0
% 226.63/34.72 |
% 226.63/34.72 | DELTA: instantiating (91) with fresh symbol all_745_0 gives:
% 226.63/34.72 | (161) ~ (all_745_0 = c_Complex_Oii) &
% 226.63/34.72 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_745_0 &
% 226.63/34.72 | $i(all_745_0)
% 226.63/34.72 |
% 226.63/34.72 | ALPHA: (161) implies:
% 226.63/34.72 | (162) c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_745_0
% 226.63/34.72 |
% 226.63/34.72 | DELTA: instantiating (1) with fresh symbol all_747_0 gives:
% 226.63/34.72 | (163) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_747_0 &
% 226.63/34.72 | $i(all_747_0) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 226.63/34.72 | all_747_0, v_m____)
% 226.63/34.72 |
% 226.63/34.72 | ALPHA: (163) implies:
% 226.63/34.72 | (164) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_747_0, v_m____)
% 226.63/34.72 | (165) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_747_0
% 226.63/34.72 |
% 226.63/34.72 | DELTA: instantiating (8) with fresh symbol all_749_0 gives:
% 226.63/34.72 | (166) ~ (all_749_0 = v_a____) &
% 226.63/34.72 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_749_0 &
% 226.63/34.72 | $i(all_749_0)
% 226.63/34.72 |
% 226.63/34.72 | ALPHA: (166) implies:
% 226.63/34.72 | (167) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_749_0
% 226.63/34.72 |
% 226.63/34.72 | DELTA: instantiating (72) with fresh symbol all_751_0 gives:
% 226.63/34.72 | (168) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = all_751_0 &
% 226.63/34.72 | $i(all_751_0) & ~
% 226.63/34.72 | c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,
% 226.63/34.72 | tc_Complex_Ocomplex, all_751_0)
% 226.63/34.72 |
% 226.63/34.72 | ALPHA: (168) implies:
% 226.63/34.72 | (169) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = all_751_0
% 226.63/34.72 |
% 226.63/34.72 | DELTA: instantiating (93) with fresh symbol all_753_0 gives:
% 226.63/34.72 | (170) c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, c_Complex_Oii) =
% 226.63/34.72 | all_753_0 & c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,
% 226.63/34.72 | c_Complex_Oii) = all_753_0 & $i(all_753_0)
% 226.63/34.72 |
% 226.63/34.72 | ALPHA: (170) implies:
% 226.63/34.72 | (171) c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, c_Complex_Oii)
% 226.63/34.72 | = all_753_0
% 226.63/34.72 | (172) c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, c_Complex_Oii) =
% 226.63/34.72 | all_753_0
% 226.63/34.72 |
% 226.63/34.72 | DELTA: instantiating (2) with fresh symbol all_755_0 gives:
% 226.63/34.72 | (173) ~ (all_755_0 = v_w____) &
% 226.63/34.72 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_755_0 &
% 226.63/34.72 | $i(all_755_0)
% 226.63/34.72 |
% 226.63/34.72 | ALPHA: (173) implies:
% 226.63/34.72 | (174) ~ (all_755_0 = v_w____)
% 226.63/34.72 | (175) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_755_0
% 226.63/34.72 |
% 226.63/34.72 | DELTA: instantiating (43) with fresh symbol all_757_0 gives:
% 226.63/34.72 | (176) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____) = all_757_0 &
% 226.63/34.72 | $i(all_757_0) & ~
% 226.63/34.72 | c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,
% 226.63/34.72 | tc_Complex_Ocomplex, all_757_0)
% 226.63/34.72 |
% 226.63/34.72 | ALPHA: (176) implies:
% 226.63/34.72 | (177) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____) = all_757_0
% 226.63/34.72 |
% 226.63/34.72 | DELTA: instantiating (90) with fresh symbol all_761_0 gives:
% 226.63/34.72 | (178) ~ (all_761_0 = c_Complex_Oii) &
% 226.63/34.72 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_761_0 &
% 226.63/34.72 | $i(all_761_0)
% 226.63/34.72 |
% 226.63/34.72 | ALPHA: (178) implies:
% 226.63/34.72 | (179) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_761_0
% 226.63/34.72 |
% 226.63/34.72 | DELTA: instantiating (112) with fresh symbols all_814_0, all_814_1 gives:
% 226.63/34.72 | (180) c_Nat_OSuc(all_814_0) = all_814_1 &
% 226.63/34.72 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_814_1 &
% 226.63/34.72 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_814_0 & $i(all_814_0)
% 226.63/34.72 | & $i(all_814_1)
% 226.63/34.72 |
% 226.63/34.72 | ALPHA: (180) implies:
% 226.63/34.72 | (181) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_814_1
% 226.63/34.72 |
% 226.63/34.72 | DELTA: instantiating (3) with fresh symbols all_819_0, all_819_1 gives:
% 226.63/34.72 | (182) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 226.63/34.72 | all_819_0 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_819_1
% 226.63/34.72 | & $i(all_819_0) & $i(all_819_1) &
% 226.63/34.72 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_819_1,
% 226.63/34.72 | all_819_0)
% 226.63/34.72 |
% 226.63/34.72 | ALPHA: (182) implies:
% 226.63/34.72 | (183) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_819_1
% 226.63/34.72 | (184) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 226.63/34.72 | all_819_0
% 226.63/34.72 |
% 226.63/34.72 | DELTA: instantiating (113) with fresh symbol all_854_0 gives:
% 226.63/34.72 | (185) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_854_0 & $i(all_854_0) &
% 226.63/34.72 | ! [v0: $i] : ! [v1: $i] : ( ~ (c_Nat_OSuc(v0) = v1) | ~ $i(v0) |
% 226.63/34.72 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, all_854_0) = v0)
% 226.63/34.72 |
% 226.63/34.72 | ALPHA: (185) implies:
% 226.63/34.72 | (186) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_854_0
% 226.63/34.72 |
% 226.63/34.72 | DELTA: instantiating (27) with fresh symbols all_857_0, all_857_1 gives:
% 226.63/34.72 | (187) ~ (all_857_0 = all_857_1) &
% 226.63/34.72 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_857_0 &
% 226.63/34.72 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_857_1 &
% 226.63/34.72 | $i(all_857_0) & $i(all_857_1)
% 226.63/34.72 |
% 226.63/34.72 | ALPHA: (187) implies:
% 226.63/34.72 | (188) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_857_1
% 226.63/34.72 | (189) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_857_0
% 226.63/34.72 |
% 226.63/34.72 | DELTA: instantiating (110) with fresh symbol all_876_0 gives:
% 226.63/34.72 | (190) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_876_0 & $i(all_876_0) &
% 226.63/34.72 | ! [v0: $i] : ! [v1: $i] : ( ~
% 226.63/34.72 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, all_876_0) = v1) | ~
% 226.63/34.72 | $i(v0) | (c_Nat_OSuc(v0) = v1 & $i(v1)))
% 226.63/34.72 |
% 226.63/34.72 | ALPHA: (190) implies:
% 226.63/34.72 | (191) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_876_0
% 226.63/34.72 |
% 226.63/34.72 | DELTA: instantiating (104) with fresh symbol all_879_0 gives:
% 226.63/34.72 | (192) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_879_0 & $i(all_879_0) &
% 226.63/34.72 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, all_879_0, all_879_0) & ! [v0:
% 226.63/34.72 | any] : (v0 = all_879_0 | ~ $i(v0) | ~
% 226.63/34.72 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v0, all_879_0))
% 226.63/34.72 |
% 226.63/34.72 | ALPHA: (192) implies:
% 226.63/34.72 | (193) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_879_0
% 226.63/34.72 |
% 226.63/34.72 | DELTA: instantiating (111) with fresh symbol all_882_0 gives:
% 226.63/34.72 | (194) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_882_0 & $i(all_882_0) &
% 226.63/34.72 | ! [v0: $i] : ! [v1: $i] : ( ~
% 226.63/34.72 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_882_0, v0) = v1) | ~
% 226.63/34.72 | $i(v0) | (c_Nat_OSuc(v0) = v1 & $i(v1)))
% 226.63/34.72 |
% 226.63/34.72 | ALPHA: (194) implies:
% 226.63/34.72 | (195) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_882_0
% 226.63/34.72 |
% 226.63/34.72 | DELTA: instantiating (45) with fresh symbols all_913_0, all_913_1 gives:
% 226.63/34.72 | (196) c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_913_1 &
% 226.63/34.72 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_913_0 & $i(all_913_0) &
% 226.63/34.72 | $i(all_913_1) & ! [v0: $i] : ! [v1: $i] : ( ~ (hAPP(all_913_1, v0)
% 226.63/34.72 | = v1) | ~ $i(v0) | hAPP(v1, all_913_0) = v0)
% 226.63/34.72 |
% 226.63/34.72 | ALPHA: (196) implies:
% 226.63/34.72 | (197) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_913_0
% 226.63/34.72 |
% 226.63/34.72 | DELTA: instantiating (53) with fresh symbols all_928_0, all_928_1, all_928_2
% 226.63/34.72 | gives:
% 226.63/34.73 | (198) ~ (all_928_0 = all_928_2) &
% 226.63/34.73 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 226.63/34.73 | v_pa____) = all_928_2 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat,
% 226.63/34.73 | v_k____, all_928_1) = all_928_0 &
% 226.63/34.73 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_928_1 & $i(all_928_0) &
% 226.63/34.73 | $i(all_928_1) & $i(all_928_2)
% 226.63/34.73 |
% 226.63/34.73 | ALPHA: (198) implies:
% 226.63/34.73 | (199) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_928_1
% 226.63/34.73 | (200) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_928_1) =
% 226.63/34.73 | all_928_0
% 226.63/34.73 |
% 226.63/34.73 | DELTA: instantiating (20) with fresh symbol all_936_0 gives:
% 226.63/34.73 | (201) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_936_0 &
% 226.63/34.73 | $i(all_936_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 226.63/34.73 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~
% 226.63/34.73 | $i(v0) | ~ class_RealVector_Oreal__normed__vector(v1) | ~
% 226.63/34.73 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, all_936_0))
% 226.63/34.73 |
% 226.63/34.73 | ALPHA: (201) implies:
% 226.63/34.73 | (202) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_936_0
% 226.63/34.73 |
% 226.63/34.73 | DELTA: instantiating (18) with fresh symbol all_939_0 gives:
% 226.63/34.73 | (203) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_939_0 &
% 226.63/34.73 | $i(all_939_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 =
% 226.63/34.73 | all_939_0 | ~ (c_RealVector_Onorm__class_Onorm(v0, v1) = v2) | ~
% 226.63/34.73 | (c_Groups_Ozero__class_Ozero(v0) = v1) | ~ $i(v0) | ~
% 226.63/34.73 | class_RealVector_Oreal__normed__vector(v0))
% 226.63/34.73 |
% 226.63/34.73 | ALPHA: (203) implies:
% 226.63/34.73 | (204) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_939_0
% 226.63/34.73 |
% 226.63/34.73 | DELTA: instantiating (67) with fresh symbols all_947_0, all_947_1, all_947_2
% 226.63/34.73 | gives:
% 226.63/34.73 | (205) c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 226.63/34.73 | v_pa____) = all_947_0 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat,
% 226.63/34.73 | v_k____, all_947_2) = all_947_1 &
% 226.63/34.73 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_947_2 & $i(all_947_0) &
% 226.63/34.73 | $i(all_947_1) & $i(all_947_2) &
% 226.63/34.73 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_947_1, all_947_0)
% 226.63/34.73 |
% 226.63/34.73 | ALPHA: (205) implies:
% 226.63/34.73 | (206) $i(all_947_1)
% 226.63/34.73 | (207) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_947_2
% 226.63/34.73 | (208) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_947_2) =
% 226.63/34.73 | all_947_1
% 226.63/34.73 |
% 226.63/34.73 | DELTA: instantiating (15) with fresh symbol all_955_0 gives:
% 226.63/34.73 | (209) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_955_0 &
% 226.63/34.73 | $i(all_955_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 =
% 226.63/34.73 | all_955_0 | ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~
% 226.63/34.73 | (c_RealVector_Onorm__class_Onorm(v0, v1) = v2) | ~ $i(v0) | ~
% 226.63/34.73 | class_RealVector_Oreal__normed__algebra__1(v0))
% 226.63/34.73 |
% 226.63/34.73 | ALPHA: (209) implies:
% 226.63/34.73 | (210) $i(all_955_0)
% 226.63/34.73 | (211) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_955_0
% 226.63/34.73 |
% 226.63/34.73 | DELTA: instantiating (51) with fresh symbols all_960_0, all_960_1, all_960_2
% 226.63/34.73 | gives:
% 226.63/34.73 | (212) ~ (all_960_0 = all_960_1) & c_Polynomial_Opoly(tc_Complex_Ocomplex,
% 226.63/34.73 | v_pa____) = all_960_2 &
% 226.63/34.73 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_960_0 &
% 226.63/34.73 | hAPP(all_960_2, v_c____) = all_960_1 & $i(all_960_0) & $i(all_960_1)
% 226.63/34.73 | & $i(all_960_2)
% 226.63/34.73 |
% 226.63/34.73 | ALPHA: (212) implies:
% 226.63/34.73 | (213) hAPP(all_960_2, v_c____) = all_960_1
% 226.63/34.73 | (214) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_960_0
% 226.63/34.73 | (215) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____) = all_960_2
% 226.63/34.73 |
% 226.63/34.73 | DELTA: instantiating (70) with fresh symbols all_970_0, all_970_1, all_970_2
% 226.63/34.73 | gives:
% 226.63/34.73 | (216) ~ (all_970_0 = all_970_1) & c_Polynomial_Opoly(tc_Complex_Ocomplex,
% 226.63/34.73 | v_q____) = all_970_2 &
% 226.63/34.73 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_970_1 &
% 226.63/34.73 | hAPP(all_970_2, all_970_1) = all_970_0 & $i(all_970_0) &
% 226.63/34.73 | $i(all_970_1) & $i(all_970_2)
% 226.63/34.73 |
% 226.63/34.73 | ALPHA: (216) implies:
% 226.63/34.73 | (217) $i(all_970_0)
% 226.63/34.73 | (218) hAPP(all_970_2, all_970_1) = all_970_0
% 226.63/34.73 | (219) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_970_1
% 226.63/34.73 | (220) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = all_970_2
% 226.63/34.73 |
% 226.63/34.73 | DELTA: instantiating (10) with fresh symbol all_974_0 gives:
% 226.63/34.73 | (221) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_974_0 &
% 226.63/34.73 | $i(all_974_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 226.63/34.73 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~
% 226.63/34.73 | $i(v0) | ~ class_RealVector_Oreal__normed__vector(v1) |
% 226.63/34.73 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_974_0, v2))
% 226.63/34.73 |
% 226.63/34.73 | ALPHA: (221) implies:
% 226.63/34.73 | (222) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_974_0
% 226.63/34.73 |
% 226.63/34.73 | DELTA: instantiating (105) with fresh symbols all_982_0, all_982_1 gives:
% 226.63/34.73 | (223) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_982_0 &
% 226.63/34.73 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_982_1 &
% 226.63/34.73 | $i(all_982_0) & $i(all_982_1) & ! [v0: $i] : ! [v1: int] : (v1 =
% 226.63/34.73 | all_982_0 | ~ (c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, v0) =
% 226.63/34.73 | v1) | ~ $i(v0) | ~
% 226.63/34.73 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_982_1, v0))
% 226.63/34.73 |
% 226.63/34.73 | ALPHA: (223) implies:
% 226.63/34.73 | (224) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_982_1
% 226.63/34.73 | (225) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_982_0
% 226.63/34.73 |
% 226.63/34.73 | DELTA: instantiating (66) with fresh symbol all_994_0 gives:
% 226.63/34.73 | (226) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_994_0 & $i(all_994_0) &
% 226.63/34.73 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 226.63/34.73 | (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v2, v0) = v3) |
% 226.63/34.73 | ~ $i(v1) | ~ $i(v0) | ~ class_Rings_Ocomm__semiring__1(v1) |
% 226.63/34.73 | hAPP(v3, all_994_0) = v0)
% 226.63/34.73 |
% 226.63/34.73 | ALPHA: (226) implies:
% 226.63/34.73 | (227) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_994_0
% 226.63/34.73 |
% 226.63/34.73 | DELTA: instantiating (16) with fresh symbol all_1000_0 gives:
% 226.63/34.73 | (228) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1000_0 & $i(all_1000_0)
% 226.63/34.73 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 226.63/34.73 | (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v2, v0) = v3) |
% 226.63/34.73 | ~ $i(v1) | ~ $i(v0) | ~ class_Groups_Omonoid__mult(v1) | hAPP(v3,
% 226.63/34.73 | all_1000_0) = v0)
% 226.63/34.73 |
% 226.63/34.73 | ALPHA: (228) implies:
% 226.63/34.73 | (229) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1000_0
% 226.63/34.73 |
% 226.63/34.73 | DELTA: instantiating (92) with fresh symbols all_1006_0, all_1006_1 gives:
% 226.63/34.73 | (230) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1006_1 &
% 226.63/34.73 | hAPP(all_1006_1, c_Complex_Oii) = all_1006_0 & $i(all_1006_0) &
% 226.63/34.73 | $i(all_1006_1) & ! [v0: $i] : ! [v1: $i] : ( ~ (hAPP(all_1006_0,
% 226.63/34.73 | v0) = v1) | ~ $i(v0) | ? [v2: $i] :
% 226.63/34.73 | (c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v0) = v2 &
% 226.63/34.73 | hAPP(all_1006_0, v1) = v2 & $i(v2)))
% 226.63/34.73 |
% 226.63/34.73 | ALPHA: (230) implies:
% 226.63/34.73 | (231) hAPP(all_1006_1, c_Complex_Oii) = all_1006_0
% 226.63/34.73 | (232) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1006_1
% 226.63/34.73 |
% 226.63/34.73 | DELTA: instantiating (95) with fresh symbols all_1018_0, all_1018_1,
% 226.63/34.73 | all_1018_2, all_1018_3 gives:
% 226.63/34.73 | (233) c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, all_1018_0) =
% 226.63/34.73 | all_1018_1 & c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) =
% 226.63/34.73 | all_1018_3 & c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) =
% 226.63/34.73 | all_1018_0 & hAPP(all_1018_2, c_Complex_Oii) = all_1018_1 &
% 226.63/34.73 | hAPP(all_1018_3, c_Complex_Oii) = all_1018_2 & $i(all_1018_0) &
% 226.63/34.73 | $i(all_1018_1) & $i(all_1018_2) & $i(all_1018_3)
% 226.63/34.73 |
% 226.63/34.73 | ALPHA: (233) implies:
% 226.63/34.73 | (234) hAPP(all_1018_3, c_Complex_Oii) = all_1018_2
% 226.63/34.73 | (235) hAPP(all_1018_2, c_Complex_Oii) = all_1018_1
% 226.63/34.73 | (236) c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1018_0
% 226.63/34.73 | (237) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1018_3
% 226.63/34.73 | (238) c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, all_1018_0) =
% 226.63/34.73 | all_1018_1
% 226.63/34.73 |
% 226.63/34.73 | DELTA: instantiating (30) with fresh symbols all_1020_0, all_1020_1,
% 226.63/34.73 | all_1020_2 gives:
% 226.63/34.73 | (239) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1020_2 &
% 226.63/34.73 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1020_1 &
% 226.63/34.73 | hAPP(all_1020_2, all_1020_1) = all_1020_0 & $i(all_1020_0) &
% 226.63/34.73 | $i(all_1020_1) & $i(all_1020_2) & ! [v0: $i] : ! [v1: $i] : (v1 =
% 226.63/34.73 | v0 | ~ (hAPP(all_1020_0, v0) = v1) | ~ $i(v0))
% 226.63/34.73 |
% 226.63/34.73 | ALPHA: (239) implies:
% 226.63/34.73 | (240) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1020_1
% 226.63/34.73 | (241) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1020_2
% 226.63/34.73 |
% 226.63/34.73 | DELTA: instantiating (47) with fresh symbols all_1026_0, all_1026_1,
% 226.63/34.73 | all_1026_2 gives:
% 226.63/34.73 | (242) c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1026_2 &
% 226.63/34.73 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1026_1 &
% 226.63/34.73 | hAPP(all_1026_2, all_1026_1) = all_1026_0 & $i(all_1026_0) &
% 226.63/34.73 | $i(all_1026_1) & $i(all_1026_2) & ! [v0: $i] : ! [v1: $i] : (v1 =
% 226.63/34.73 | v0 | ~ (hAPP(all_1026_0, v0) = v1) | ~ $i(v0))
% 226.63/34.73 |
% 226.63/34.73 | ALPHA: (242) implies:
% 226.63/34.73 | (243) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1026_1
% 226.63/34.73 |
% 226.63/34.73 | DELTA: instantiating (73) with fresh symbols all_1032_0, all_1032_1,
% 226.63/34.73 | all_1032_2, all_1032_3 gives:
% 226.63/34.73 | (244) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = all_1032_1 &
% 226.63/34.73 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____) = all_1032_3 &
% 226.63/34.73 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1032_0 &
% 226.63/34.73 | hAPP(all_1032_1, all_1032_0) = all_1032_2 & hAPP(all_1032_3, v_c____)
% 226.63/34.73 | = all_1032_2 & $i(all_1032_0) & $i(all_1032_1) & $i(all_1032_2) &
% 226.63/34.73 | $i(all_1032_3)
% 226.63/34.73 |
% 226.63/34.73 | ALPHA: (244) implies:
% 226.63/34.73 | (245) hAPP(all_1032_3, v_c____) = all_1032_2
% 226.63/34.73 | (246) hAPP(all_1032_1, all_1032_0) = all_1032_2
% 226.63/34.73 | (247) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1032_0
% 226.63/34.73 | (248) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____) = all_1032_3
% 226.63/34.73 | (249) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = all_1032_1
% 226.63/34.73 |
% 226.63/34.73 | DELTA: instantiating (76) with fresh symbols all_1035_0, all_1035_1,
% 226.63/34.73 | all_1035_2, all_1035_3, all_1035_4 gives:
% 226.63/34.73 | (250) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____) = all_1035_4 &
% 226.63/34.73 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1035_2 &
% 226.63/34.73 | $i(all_1035_1) & $i(all_1035_2) & $i(all_1035_4) & ((all_1035_0 =
% 226.63/34.73 | all_1035_2 & hAPP(all_1035_4, all_1035_1) = all_1035_2) | ( ~
% 226.63/34.73 | (all_1035_2 = all_1035_3) & hAPP(all_1035_4, v_c____) =
% 226.63/34.73 | all_1035_3 & $i(all_1035_3)))
% 226.63/34.73 |
% 226.63/34.73 | ALPHA: (250) implies:
% 226.63/34.73 | (251) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1035_2
% 226.63/34.73 | (252) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____) = all_1035_4
% 226.63/34.73 |
% 226.63/34.73 | DELTA: instantiating (71) with fresh symbols all_1046_0, all_1046_1 gives:
% 226.63/34.73 | (253) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = all_1046_1 &
% 226.63/34.73 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____) = all_1046_0 &
% 226.63/34.73 | $i(all_1046_0) & $i(all_1046_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 226.63/34.73 | (hAPP(all_1046_1, v0) = v1) | ~ $i(v0) | ? [v2: $i] :
% 226.63/34.73 | (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_c____, v0) = v2
% 226.63/34.73 | & hAPP(all_1046_0, v2) = v1 & $i(v2) & $i(v1)))
% 226.63/34.73 |
% 226.63/34.73 | ALPHA: (253) implies:
% 226.63/34.73 | (254) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____) = all_1046_0
% 226.63/34.73 | (255) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = all_1046_1
% 226.63/34.73 |
% 226.63/34.73 | DELTA: instantiating (114) with fresh symbol all_1060_0 gives:
% 226.63/34.73 | (256) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1060_0 & $i(all_1060_0)
% 226.63/34.73 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 226.63/34.73 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v0) = v3) | ~
% 226.63/34.73 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, all_1060_0) = v2) |
% 226.63/34.73 | ~ $i(v1) | ~ $i(v0) | ? [v4: $i] : (c_Nat_OSuc(v0) = v4 &
% 226.63/34.73 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v4) = v3 & $i(v4)
% 226.63/34.73 | & $i(v3)))
% 226.63/34.73 |
% 226.63/34.73 | ALPHA: (256) implies:
% 226.63/34.73 | (257) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1060_0
% 226.63/34.73 |
% 226.63/34.73 | DELTA: instantiating (28) with fresh symbol all_1068_0 gives:
% 226.63/34.73 | (258) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1068_0 &
% 226.63/34.73 | $i(all_1068_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 226.63/34.73 | $i] : ( ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_1068_0, v0) = v2) | ~
% 226.63/34.73 | $i(v1) | ~ $i(v0) | ? [v4: $i] : (hAPP(v4, v0) = v3 &
% 226.63/34.73 | hAPP(all_1068_0, v1) = v4 & $i(v4) & $i(v3)))
% 226.63/34.73 |
% 226.63/34.73 | ALPHA: (258) implies:
% 226.63/34.73 | (259) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1068_0
% 226.63/34.73 |
% 226.63/34.73 | DELTA: instantiating (37) with fresh symbols all_1083_0, all_1083_1 gives:
% 226.63/34.74 | (260) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1083_0 &
% 226.63/34.74 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1083_1 &
% 226.63/34.74 | $i(all_1083_0) & $i(all_1083_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 226.63/34.74 | $i] : ! [v3: $i] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_1083_0,
% 226.63/34.74 | v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~
% 226.63/34.74 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1083_1, v1) |
% 226.63/34.74 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1083_1, v0) |
% 226.63/34.74 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1083_1, v3))
% 226.63/34.74 |
% 226.63/34.74 | ALPHA: (260) implies:
% 226.63/34.74 | (261) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1083_1
% 226.63/34.74 | (262) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1083_0
% 226.63/34.74 |
% 226.63/34.74 | DELTA: instantiating (52) with fresh symbols all_1102_0, all_1102_1,
% 226.63/34.74 | all_1102_2 gives:
% 226.63/34.74 | (263) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____) = all_1102_2 &
% 226.63/34.74 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1102_1) =
% 226.63/34.74 | all_1102_0 & hAPP(all_1102_2, v_c____) = all_1102_1 & $i(all_1102_0)
% 226.63/34.74 | & $i(all_1102_1) & $i(all_1102_2) & ! [v0: $i] : ! [v1: $i] : ( ~
% 226.63/34.74 | (hAPP(all_1102_2, v0) = v1) | ~ $i(v0) | ? [v2: $i] :
% 226.63/34.74 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v2 &
% 226.63/34.74 | $i(v2) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 226.63/34.74 | all_1102_0, v2)))
% 226.63/34.74 |
% 226.63/34.74 | ALPHA: (263) implies:
% 226.63/34.74 | (264) hAPP(all_1102_2, v_c____) = all_1102_1
% 226.63/34.74 | (265) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____) = all_1102_2
% 226.63/34.74 |
% 226.63/34.74 | DELTA: instantiating (55) with fresh symbol all_1105_0 gives:
% 226.63/34.74 | (266) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1105_0 &
% 226.63/34.74 | $i(all_1105_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 226.63/34.74 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v4, v0) = v5) | ~
% 226.63/34.74 | (hAPP(v2, v1) = v3) | ~ (hAPP(all_1105_0, v1) = v2) | ~
% 226.63/34.74 | (hAPP(all_1105_0, v0) = v4) | ~ $i(v1) | ~ $i(v0) | ? [v6: $i] :
% 226.63/34.74 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v3) = v6 &
% 226.63/34.74 | $i(v6) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6,
% 226.63/34.74 | v5)))
% 226.63/34.74 |
% 226.63/34.74 | ALPHA: (266) implies:
% 226.63/34.74 | (267) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1105_0
% 226.63/34.74 |
% 226.63/34.74 | DELTA: instantiating (56) with fresh symbol all_1108_0 gives:
% 226.63/34.74 | (268) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1108_0 &
% 226.63/34.74 | $i(all_1108_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 =
% 226.63/34.74 | all_1108_0 | ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 226.63/34.74 | v0) = v1) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,
% 226.63/34.74 | v0, v1) = v2) | ~ $i(v0)) & ! [v0: $i] : ! [v1: $i] : !
% 226.63/34.74 | [v2: $i] : (v1 = v0 | ~
% 226.63/34.74 | (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v0) = v2) | ~
% 226.63/34.74 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v2) =
% 226.63/34.74 | all_1108_0) | ~ $i(v1) | ~ $i(v0))
% 226.63/34.74 |
% 226.63/34.74 | ALPHA: (268) implies:
% 226.63/34.74 | (269) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1108_0
% 226.63/34.74 |
% 226.63/34.74 | DELTA: instantiating (39) with fresh symbols all_1111_0, all_1111_1,
% 226.63/34.74 | all_1111_2 gives:
% 226.63/34.74 | (270) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1111_1 &
% 226.63/34.74 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1111_0 &
% 226.63/34.74 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1111_2 &
% 226.63/34.74 | $i(all_1111_0) & $i(all_1111_1) & $i(all_1111_2) & ! [v0: any] : !
% 226.63/34.74 | [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = all_1111_0 | v0 =
% 226.63/34.74 | all_1111_2 | ~ (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,
% 226.63/34.74 | v0) = v1) | ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_1111_1, v1) =
% 226.63/34.74 | v2) | ~ $i(v0))
% 226.63/34.74 |
% 226.63/34.74 | ALPHA: (270) implies:
% 226.63/34.74 | (271) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1111_2
% 226.63/34.74 | (272) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1111_0
% 226.63/34.74 | (273) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1111_1
% 226.63/34.74 |
% 226.63/34.74 | DELTA: instantiating (54) with fresh symbol all_1114_0 gives:
% 226.63/34.74 | (274) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1114_0 &
% 226.63/34.74 | $i(all_1114_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 226.63/34.74 | (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v1, v0) = v2) | ~
% 226.63/34.74 | $i(v1) | ~ $i(v0) | ~
% 226.63/34.74 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, all_1114_0)
% 226.63/34.74 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0)) & !
% 226.63/34.74 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 226.63/34.74 | (c_Groups_Ominus__class_Ominus(tc_RealDef_Oreal, v1, v0) = v2) | ~
% 226.63/34.74 | $i(v1) | ~ $i(v0) | ~
% 226.63/34.74 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) |
% 226.63/34.74 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2,
% 226.63/34.74 | all_1114_0))
% 226.63/34.74 |
% 226.63/34.74 | ALPHA: (274) implies:
% 226.63/34.74 | (275) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1114_0
% 226.63/34.74 |
% 226.63/34.74 | DELTA: instantiating (48) with fresh symbols all_1120_0, all_1120_1,
% 226.63/34.74 | all_1120_2 gives:
% 226.63/34.74 | (276) c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1120_2 &
% 226.63/34.74 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1120_1 &
% 226.63/34.74 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1120_0 &
% 226.63/34.74 | $i(all_1120_0) & $i(all_1120_1) & $i(all_1120_2) & ! [v0: any] : !
% 226.63/34.74 | [v1: any] : ! [v2: $i] : (v1 = all_1120_0 | v0 = all_1120_1 | ~
% 226.63/34.74 | (hAPP(v2, v0) = v1) | ~ (hAPP(all_1120_2, v1) = v2) | ~ $i(v1) |
% 226.63/34.74 | ~ $i(v0))
% 226.63/34.74 |
% 226.63/34.74 | ALPHA: (276) implies:
% 226.63/34.74 | (277) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1120_1
% 226.63/34.74 |
% 226.63/34.74 | DELTA: instantiating (50) with fresh symbols all_1129_0, all_1129_1 gives:
% 226.63/34.74 | (278) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1129_0 &
% 226.63/34.74 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1129_1 &
% 226.63/34.74 | $i(all_1129_0) & $i(all_1129_1) & ! [v0: any] : ! [v1: $i] : !
% 226.63/34.74 | [v2: $i] : (v0 = all_1129_1 | ~ (hAPP(v1, v0) = v2) | ~
% 226.63/34.74 | (hAPP(all_1129_0, v0) = v1) | ~ $i(v0) |
% 226.63/34.74 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1129_1, v2)) &
% 226.63/34.74 | ! [v0: $i] : ! [v1: $i] : ( ~ (hAPP(v0, all_1129_1) = v1) | ~
% 226.63/34.74 | (hAPP(all_1129_0, all_1129_1) = v0) | ~
% 226.63/34.74 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1129_1, v1))
% 226.63/34.74 |
% 226.63/34.74 | ALPHA: (278) implies:
% 226.63/34.74 | (279) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1129_1
% 226.63/34.74 | (280) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1129_0
% 226.63/34.74 |
% 226.63/34.74 | DELTA: instantiating (33) with fresh symbols all_1137_0, all_1137_1 gives:
% 226.63/34.74 | (281) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1137_0 &
% 226.63/34.74 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1137_1 &
% 226.63/34.74 | $i(all_1137_0) & $i(all_1137_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 226.63/34.74 | any] : ! [v3: $i] : ! [v4: $i] : (v2 = all_1137_1 | v1 = v0 | ~
% 226.63/34.74 | (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_1137_0,
% 226.63/34.74 | v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0))
% 226.63/34.74 |
% 226.63/34.74 | ALPHA: (281) implies:
% 226.63/34.74 | (282) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1137_1
% 226.63/34.74 | (283) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1137_0
% 226.63/34.74 |
% 226.63/34.74 | DELTA: instantiating (26) with fresh symbols all_1149_0, all_1149_1 gives:
% 226.63/34.74 | (284) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = all_1149_0 &
% 226.63/34.74 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 226.63/34.74 | all_1149_1 & $i(all_1149_0) & $i(all_1149_1) & ! [v0: $i] : ! [v1:
% 226.63/34.74 | $i] : ( ~ (hAPP(all_1149_0, v0) = v1) | ~ $i(v0) | ? [v2: $i] :
% 226.63/34.74 | ? [v3: $i] : ((c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 226.63/34.74 | v1) = v3 & $i(v3) &
% 226.63/34.74 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3,
% 226.63/34.74 | v_m____)) |
% 226.63/34.74 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v0) = v2 &
% 226.63/34.74 | $i(v2) & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 226.63/34.74 | v2, all_1149_1))))
% 226.63/34.74 |
% 226.63/34.74 | ALPHA: (284) implies:
% 226.63/34.74 | (285) $i(all_1149_1)
% 226.63/34.74 | (286) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 226.63/34.74 | all_1149_1
% 226.63/34.74 |
% 226.63/34.74 | DELTA: instantiating (38) with fresh symbols all_1155_0, all_1155_1 gives:
% 226.63/34.74 | (287) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1155_0 &
% 226.63/34.74 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1155_1 &
% 226.63/34.74 | $i(all_1155_0) & $i(all_1155_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 226.63/34.74 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v3, v1) =
% 226.63/34.74 | v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_1155_0, v2) = v3) |
% 226.63/34.74 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 226.63/34.74 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) | ~
% 226.63/34.74 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1155_1, v2) |
% 226.63/34.74 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v5))
% 226.63/34.74 |
% 226.63/34.74 | ALPHA: (287) implies:
% 226.63/34.74 | (288) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1155_1
% 226.63/34.74 | (289) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1155_0
% 226.63/34.74 |
% 226.63/34.74 | DELTA: instantiating (86) with fresh symbols all_1161_0, all_1161_1,
% 226.63/34.74 | all_1161_2, all_1161_3, all_1161_4, all_1161_5 gives:
% 226.63/34.74 | (290) c_Polynomial_Omonom(tc_Complex_Ocomplex, v_a____, all_1161_2) =
% 226.63/34.74 | all_1161_1 & c_Polynomial_OpCons(tc_Complex_Ocomplex, all_1161_3,
% 226.63/34.74 | all_1161_1) = all_1161_0 &
% 226.63/34.74 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 226.63/34.74 | all_1161_0) = all_1161_4 &
% 226.63/34.74 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v_k____, all_1161_5) =
% 226.63/34.74 | all_1161_2 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____,
% 226.63/34.74 | all_1161_5) = all_1161_4 & c_Groups_Oone__class_Oone(tc_Nat_Onat) =
% 226.63/34.74 | all_1161_5 & c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) =
% 226.63/34.74 | all_1161_3 & $i(all_1161_0) & $i(all_1161_1) & $i(all_1161_2) &
% 226.63/34.74 | $i(all_1161_3) & $i(all_1161_4) & $i(all_1161_5)
% 226.63/34.74 |
% 226.63/34.74 | ALPHA: (290) implies:
% 226.63/34.74 | (291) c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1161_3
% 226.63/34.74 | (292) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1161_5
% 226.63/34.74 | (293) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_1161_5) =
% 226.63/34.74 | all_1161_4
% 226.63/34.74 |
% 226.63/34.74 | DELTA: instantiating (32) with fresh symbols all_1165_0, all_1165_1 gives:
% 226.63/34.74 | (294) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1165_0 &
% 226.63/34.74 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1165_1 &
% 226.63/34.74 | $i(all_1165_0) & $i(all_1165_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 226.63/34.74 | any] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v2 = all_1165_1 |
% 226.63/34.74 | v1 = v0 | ~ (hAPP(v5, v2) = v4) | ~ (hAPP(v3, v2) = v4) | ~
% 226.63/34.74 | (hAPP(all_1165_0, v1) = v3) | ~ (hAPP(all_1165_0, v0) = v5) | ~
% 226.63/34.74 | $i(v2) | ~ $i(v1) | ~ $i(v0))
% 226.63/34.74 |
% 226.63/34.74 | ALPHA: (294) implies:
% 226.63/34.74 | (295) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1165_1
% 226.63/34.74 | (296) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1165_0
% 226.63/34.74 |
% 226.63/34.74 | DELTA: instantiating (108) with fresh symbols all_1171_0, all_1171_1 gives:
% 226.63/34.74 | (297) c_Power_Opower__class_Opower(tc_Nat_Onat) = all_1171_1 &
% 226.63/34.74 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1171_0 & $i(all_1171_0)
% 226.63/34.74 | & $i(all_1171_1) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 226.63/34.74 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v3, v1) = v4) | ~
% 226.63/34.74 | (hAPP(v3, v0) = v5) | ~ (hAPP(all_1171_1, v2) = v3) | ~ $i(v2) |
% 226.63/34.74 | ~ $i(v1) | ~ $i(v0) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v4,
% 226.63/34.74 | v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1171_0,
% 226.63/34.74 | v2) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0))
% 226.63/34.74 |
% 226.63/34.74 | ALPHA: (297) implies:
% 226.63/34.74 | (298) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1171_0
% 226.63/34.74 |
% 226.63/34.74 | DELTA: instantiating (80) with fresh symbols all_1183_0, all_1183_1,
% 226.63/34.74 | all_1183_2, all_1183_3, all_1183_4, all_1183_5 gives:
% 226.63/34.74 | (299) c_Polynomial_Osmult(tc_Complex_Ocomplex, all_1183_1, v_q____) =
% 226.63/34.74 | all_1183_0 &
% 226.63/34.74 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 226.63/34.74 | all_1183_0) = all_1183_5 &
% 226.63/34.74 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 226.63/34.74 | v_q____) = all_1183_5 & c_Polynomial_Opoly(tc_Complex_Ocomplex,
% 226.63/34.74 | v_q____) = all_1183_4 &
% 226.63/34.74 | c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, all_1183_2) =
% 226.63/34.74 | all_1183_1 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 226.63/34.74 | all_1183_3 & hAPP(all_1183_4, all_1183_3) = all_1183_2 &
% 226.63/34.74 | $i(all_1183_0) & $i(all_1183_1) & $i(all_1183_2) & $i(all_1183_3) &
% 226.63/34.74 | $i(all_1183_4) & $i(all_1183_5)
% 226.63/34.74 |
% 226.63/34.74 | ALPHA: (299) implies:
% 226.63/34.74 | (300) hAPP(all_1183_4, all_1183_3) = all_1183_2
% 226.63/34.74 | (301) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1183_3
% 226.63/34.74 | (302) c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, all_1183_2) =
% 226.63/34.74 | all_1183_1
% 226.63/34.74 | (303) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = all_1183_4
% 226.63/34.74 | (304) c_Polynomial_Osmult(tc_Complex_Ocomplex, all_1183_1, v_q____) =
% 226.63/34.74 | all_1183_0
% 226.63/34.74 |
% 226.63/34.74 | DELTA: instantiating (75) with fresh symbols all_1194_0, all_1194_1 gives:
% 226.63/34.74 | (305) c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 226.63/34.74 | v_pa____) = all_1194_1 &
% 226.63/34.74 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1194_0 &
% 226.63/34.74 | $i(all_1194_0) & $i(all_1194_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 226.63/34.74 | (c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 226.63/34.74 | v0) = v1) | ~ $i(v0) | ~
% 226.63/34.74 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, all_1194_1) | ?
% 226.63/34.74 | [v2: $i] : ? [v3: $i] : ? [v4: int] :
% 226.63/34.74 | (c_Polynomial_Opoly(tc_Complex_Ocomplex, v0) = v2 & $i(v3) & $i(v2)
% 226.63/34.74 | &
% 226.63/34.74 | (c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,
% 226.63/34.74 | tc_Complex_Ocomplex, v2) | (v4 = all_1194_0 & hAPP(v2, v3) =
% 226.63/34.74 | all_1194_0))))
% 226.63/34.74 |
% 226.63/34.74 | ALPHA: (305) implies:
% 226.63/34.74 | (306) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1194_0
% 226.63/34.74 |
% 226.63/34.74 | DELTA: instantiating (81) with fresh symbols all_1200_0, all_1200_1,
% 226.63/34.74 | all_1200_2, all_1200_3, all_1200_4, all_1200_5 gives:
% 226.63/34.74 | (307) c_Polynomial_Osmult(tc_Complex_Ocomplex, all_1200_2, v_q____) =
% 226.63/34.75 | all_1200_1 & c_Polynomial_Opoly(tc_Complex_Ocomplex, all_1200_1) =
% 226.63/34.75 | all_1200_0 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) =
% 226.63/34.75 | all_1200_5 & c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,
% 226.63/34.75 | all_1200_3) = all_1200_2 &
% 226.63/34.75 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1200_4 &
% 226.63/34.75 | hAPP(all_1200_5, all_1200_4) = all_1200_3 & $i(all_1200_0) &
% 226.63/34.75 | $i(all_1200_1) & $i(all_1200_2) & $i(all_1200_3) & $i(all_1200_4) &
% 226.63/34.75 | $i(all_1200_5) & ~
% 226.63/34.75 | c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,
% 226.63/34.75 | tc_Complex_Ocomplex, all_1200_0)
% 226.63/34.75 |
% 226.63/34.75 | ALPHA: (307) implies:
% 226.63/34.75 | (308) hAPP(all_1200_5, all_1200_4) = all_1200_3
% 226.63/34.75 | (309) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1200_4
% 226.63/34.75 | (310) c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, all_1200_3) =
% 226.63/34.75 | all_1200_2
% 226.63/34.75 | (311) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = all_1200_5
% 226.63/34.75 | (312) c_Polynomial_Opoly(tc_Complex_Ocomplex, all_1200_1) = all_1200_0
% 226.63/34.75 | (313) c_Polynomial_Osmult(tc_Complex_Ocomplex, all_1200_2, v_q____) =
% 226.63/34.75 | all_1200_1
% 226.63/34.75 |
% 226.63/34.75 | DELTA: instantiating (17) with fresh symbol all_1208_0 gives:
% 226.63/34.75 | (314) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1208_0 &
% 226.63/34.75 | $i(all_1208_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 226.63/34.75 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~
% 226.63/34.75 | $i(v0) | ~ class_RealVector_Oreal__normed__vector(v1) | ? [v3:
% 226.63/34.75 | $i] : (( ~ (v2 = all_1208_0) | (v3 = v0 &
% 226.63/34.75 | c_Groups_Ozero__class_Ozero(v1) = v0)) & (v2 = all_1208_0 | (
% 226.63/34.75 | ~ (v3 = v0) & c_Groups_Ozero__class_Ozero(v1) = v3 &
% 226.63/34.75 | $i(v3)))))
% 226.63/34.75 |
% 226.63/34.75 | ALPHA: (314) implies:
% 226.63/34.75 | (315) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1208_0
% 226.63/34.75 |
% 226.63/34.75 | DELTA: instantiating (57) with fresh symbol all_1211_0 gives:
% 226.63/34.75 | (316) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1211_0 &
% 226.63/34.75 | $i(all_1211_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 =
% 226.63/34.75 | all_1211_0 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1,
% 226.63/34.75 | v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ( ~ (v3 = v0)
% 226.63/34.75 | & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v3 &
% 226.63/34.75 | $i(v3))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 226.63/34.75 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) =
% 226.63/34.75 | all_1211_0) | ~ $i(v1) | ~ $i(v0) |
% 226.63/34.75 | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v0)
% 226.63/34.75 |
% 226.63/34.75 | ALPHA: (316) implies:
% 226.63/34.75 | (317) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1211_0
% 226.63/34.75 |
% 226.63/34.75 | DELTA: instantiating (98) with fresh symbols all_1223_0, all_1223_1,
% 226.63/34.75 | all_1223_2, all_1223_3 gives:
% 226.63/34.75 | (318) c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 226.63/34.75 | all_1223_1) = all_1223_3 &
% 226.63/34.75 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 226.63/34.75 | v_pa____) = all_1223_3 & c_Polynomial_Opoly(tc_Complex_Ocomplex,
% 226.63/34.75 | all_1223_1) = all_1223_0 & c_Polynomial_Opoly(tc_Complex_Ocomplex,
% 226.63/34.75 | v_pa____) = all_1223_2 & $i(all_1223_0) & $i(all_1223_1) &
% 226.63/34.75 | $i(all_1223_2) & $i(all_1223_3) & ! [v0: $i] : ! [v1: $i] : ( ~
% 226.63/34.75 | (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_c____, v0) =
% 226.63/34.75 | v1) | ~ $i(v0) | ? [v2: $i] : (hAPP(all_1223_0, v0) = v2 &
% 226.63/34.75 | hAPP(all_1223_2, v1) = v2 & $i(v2)))
% 226.63/34.75 |
% 226.63/34.75 | ALPHA: (318) implies:
% 226.63/34.75 | (319) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____) = all_1223_2
% 226.63/34.75 |
% 226.63/34.75 | DELTA: instantiating (11) with fresh symbol all_1226_0 gives:
% 226.63/34.75 | (320) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1226_0 &
% 226.63/34.75 | $i(all_1226_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 226.63/34.75 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~
% 226.63/34.75 | $i(v0) | ~ class_RealVector_Oreal__normed__vector(v1) | ? [v3:
% 226.63/34.75 | $i] : (( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 226.63/34.75 | v2, all_1226_0) | (v3 = v0 & c_Groups_Ozero__class_Ozero(v1)
% 226.63/34.75 | = v0)) & (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 226.63/34.75 | v2, all_1226_0) | ( ~ (v3 = v0) &
% 226.63/34.75 | c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3)))))
% 226.63/34.75 |
% 226.63/34.75 | ALPHA: (320) implies:
% 226.63/34.75 | (321) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1226_0
% 226.63/34.75 |
% 226.63/34.75 | DELTA: instantiating (7) with fresh symbol all_1229_0 gives:
% 226.63/34.75 | (322) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1229_0 &
% 226.63/34.75 | $i(all_1229_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 226.63/34.75 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~
% 226.63/34.75 | $i(v0) | ~ class_RealVector_Oreal__normed__vector(v1) | ? [v3:
% 226.63/34.75 | $i] : (( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 226.63/34.75 | all_1229_0, v2) | ( ~ (v3 = v0) &
% 226.63/34.75 | c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3))) &
% 226.63/34.75 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1229_0, v2)
% 226.63/34.75 | | (v3 = v0 & c_Groups_Ozero__class_Ozero(v1) = v0))))
% 226.63/34.75 |
% 226.63/34.75 | ALPHA: (322) implies:
% 226.63/34.75 | (323) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1229_0
% 226.63/34.75 | (324) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 226.63/34.75 | (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ $i(v1) | ~
% 226.63/34.75 | $i(v0) | ~ class_RealVector_Oreal__normed__vector(v1) | ? [v3:
% 226.63/34.75 | $i] : (( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 226.63/34.75 | all_1229_0, v2) | ( ~ (v3 = v0) &
% 226.63/34.75 | c_Groups_Ozero__class_Ozero(v1) = v3 & $i(v3))) &
% 226.63/34.75 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1229_0, v2)
% 226.63/34.75 | | (v3 = v0 & c_Groups_Ozero__class_Ozero(v1) = v0))))
% 226.63/34.75 |
% 226.63/34.75 | DELTA: instantiating (98) with fresh symbols all_1232_0, all_1232_1,
% 226.63/34.75 | all_1232_2, all_1232_3 gives:
% 226.63/34.75 | (325) c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 226.63/34.75 | all_1232_1) = all_1232_3 &
% 226.63/34.75 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 226.63/34.75 | v_pa____) = all_1232_3 & c_Polynomial_Opoly(tc_Complex_Ocomplex,
% 226.63/34.75 | all_1232_1) = all_1232_0 & c_Polynomial_Opoly(tc_Complex_Ocomplex,
% 226.63/34.75 | v_pa____) = all_1232_2 & $i(all_1232_0) & $i(all_1232_1) &
% 226.63/34.75 | $i(all_1232_2) & $i(all_1232_3) & ! [v0: $i] : ! [v1: $i] : ( ~
% 226.63/34.75 | (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v_c____, v0) =
% 226.63/34.75 | v1) | ~ $i(v0) | ? [v2: $i] : (hAPP(all_1232_0, v0) = v2 &
% 226.63/34.75 | hAPP(all_1232_2, v1) = v2 & $i(v2)))
% 226.63/34.75 |
% 226.63/34.75 | ALPHA: (325) implies:
% 226.63/34.75 | (326) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____) = all_1232_2
% 226.63/34.75 |
% 226.63/34.75 | DELTA: instantiating (85) with fresh symbols all_1238_0, all_1238_1,
% 226.63/34.75 | all_1238_2, all_1238_3, all_1238_4, all_1238_5 gives:
% 226.63/34.75 | (327) c_Polynomial_Omonom(tc_Complex_Ocomplex, v_a____, all_1238_3) =
% 226.63/34.75 | all_1238_2 & c_Polynomial_OpCons(tc_Complex_Ocomplex, all_1238_5,
% 226.63/34.75 | all_1238_2) = all_1238_1 &
% 226.63/34.75 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v_k____, all_1238_4) =
% 226.63/34.75 | all_1238_3 & c_Polynomial_Opoly(tc_Complex_Ocomplex, all_1238_1) =
% 226.63/34.75 | all_1238_0 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1238_4 &
% 226.63/34.75 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1238_5 &
% 226.63/34.75 | $i(all_1238_0) & $i(all_1238_1) & $i(all_1238_2) & $i(all_1238_3) &
% 226.63/34.75 | $i(all_1238_4) & $i(all_1238_5) & ~
% 226.63/34.75 | c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,
% 226.63/34.75 | tc_Complex_Ocomplex, all_1238_0)
% 226.63/34.75 |
% 226.63/34.75 | ALPHA: (327) implies:
% 226.63/34.75 | (328) c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1238_5
% 226.63/34.75 | (329) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1238_4
% 226.63/34.75 |
% 226.63/34.75 | DELTA: instantiating (22) with fresh symbol all_1246_0 gives:
% 226.63/34.75 | (330) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1246_0 &
% 226.63/34.75 | $i(all_1246_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 226.63/34.75 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 226.63/34.75 | (c_Rings_Oinverse__class_Oinverse(v2, v0) = v3) | ~
% 226.63/34.75 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v1) = v5) | ~
% 226.63/34.75 | (c_RealVector_Onorm__class_Onorm(v2, v3) = v4) | ~ $i(v2) | ~
% 226.63/34.75 | $i(v1) | ~ $i(v0) | ~
% 226.63/34.75 | class_RealVector_Oreal__normed__div__algebra(v2) | ~
% 226.63/34.75 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1246_0, v1) |
% 226.63/34.75 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v5) | ?
% 226.63/34.75 | [v6: $i] : (c_RealVector_Onorm__class_Onorm(v2, v0) = v6 & $i(v6) &
% 226.63/34.75 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v6)))
% 226.63/34.75 |
% 226.63/34.75 | ALPHA: (330) implies:
% 226.63/34.75 | (331) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1246_0
% 226.63/34.75 |
% 226.63/34.75 | DELTA: instantiating (29) with fresh symbol all_1270_0 gives:
% 226.63/34.75 | (332) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1270_0 &
% 226.63/34.75 | $i(all_1270_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 226.63/34.75 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~ (hAPP(v5, v0) =
% 226.63/34.75 | v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_1270_0, v4) = v5) |
% 226.63/34.75 | ~ (hAPP(all_1270_0, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 226.63/34.75 | ? [v7: $i] : ? [v8: $i] : (hAPP(v7, v0) = v8 & hAPP(v3, v8) = v6
% 226.63/34.75 | & hAPP(all_1270_0, v1) = v7 & $i(v8) & $i(v7) & $i(v6)))
% 226.63/34.75 |
% 226.63/34.75 | ALPHA: (332) implies:
% 226.63/34.75 | (333) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1270_0
% 226.63/34.75 |
% 226.63/34.75 | DELTA: instantiating (42) with fresh symbols all_1276_0, all_1276_1,
% 226.63/34.75 | all_1276_2, all_1276_3, all_1276_4, all_1276_5, all_1276_6 gives:
% 226.63/34.75 | (334) c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, all_1276_0) =
% 226.63/34.75 | all_1276_1 & c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) =
% 226.63/34.75 | all_1276_6 & c_Power_Opower__class_Opower(tc_Complex_Ocomplex) =
% 226.63/34.75 | all_1276_5 & c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) =
% 226.63/34.75 | all_1276_0 & hAPP(all_1276_2, v_a____) = all_1276_1 &
% 226.63/34.75 | hAPP(all_1276_4, v_k____) = all_1276_3 & hAPP(all_1276_5, v_w____) =
% 226.63/34.75 | all_1276_4 & hAPP(all_1276_6, all_1276_3) = all_1276_2 &
% 226.63/34.75 | $i(all_1276_0) & $i(all_1276_1) & $i(all_1276_2) & $i(all_1276_3) &
% 226.63/34.75 | $i(all_1276_4) & $i(all_1276_5) & $i(all_1276_6)
% 226.63/34.75 |
% 226.63/34.75 | ALPHA: (334) implies:
% 226.63/34.75 | (335) hAPP(all_1276_6, all_1276_3) = all_1276_2
% 226.63/34.75 | (336) hAPP(all_1276_5, v_w____) = all_1276_4
% 226.63/34.75 | (337) hAPP(all_1276_4, v_k____) = all_1276_3
% 226.63/34.75 | (338) hAPP(all_1276_2, v_a____) = all_1276_1
% 226.63/34.75 | (339) c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1276_0
% 226.63/34.75 | (340) c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1276_5
% 226.63/34.75 | (341) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1276_6
% 226.63/34.75 | (342) c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, all_1276_0) =
% 226.63/34.75 | all_1276_1
% 226.63/34.75 |
% 226.63/34.75 | DELTA: instantiating (69) with fresh symbols all_1281_0, all_1281_1,
% 226.63/34.75 | all_1281_2, all_1281_3, all_1281_4 gives:
% 226.63/34.75 | (343) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = all_1281_4 &
% 226.63/34.75 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____) = all_1281_0 &
% 226.63/34.75 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1281_2) =
% 226.63/34.75 | all_1281_1 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 226.63/34.75 | all_1281_3 & hAPP(all_1281_4, all_1281_3) = all_1281_2 &
% 226.63/34.75 | $i(all_1281_0) & $i(all_1281_1) & $i(all_1281_2) & $i(all_1281_3) &
% 226.63/34.75 | $i(all_1281_4) & ! [v0: $i] : ! [v1: $i] : ( ~ (hAPP(all_1281_0,
% 226.63/34.75 | v0) = v1) | ~ $i(v0) | ? [v2: $i] :
% 226.63/34.75 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v2 &
% 226.63/34.75 | $i(v2) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 226.63/34.75 | all_1281_1, v2)))
% 226.63/34.75 |
% 226.63/34.75 | ALPHA: (343) implies:
% 226.63/34.75 | (344) hAPP(all_1281_4, all_1281_3) = all_1281_2
% 226.63/34.75 | (345) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1281_3
% 226.63/34.75 | (346) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_pa____) = all_1281_0
% 226.63/34.75 | (347) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = all_1281_4
% 226.63/34.75 |
% 226.63/34.75 | DELTA: instantiating (79) with fresh symbols all_1284_0, all_1284_1,
% 226.63/34.75 | all_1284_2, all_1284_3, all_1284_4, all_1284_5, all_1284_6 gives:
% 226.63/34.75 | (348) c_Polynomial_Osmult(tc_Complex_Ocomplex, all_1284_3, v_q____) =
% 226.63/34.75 | all_1284_2 & c_Polynomial_Opoly(tc_Complex_Ocomplex, all_1284_2) =
% 226.63/34.75 | all_1284_1 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) =
% 226.63/34.75 | all_1284_6 & c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,
% 226.63/34.75 | all_1284_4) = all_1284_3 &
% 226.63/34.75 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1284_0 &
% 226.63/34.75 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1284_5 &
% 226.63/34.75 | hAPP(all_1284_1, all_1284_5) = all_1284_0 & hAPP(all_1284_6,
% 226.63/34.75 | all_1284_5) = all_1284_4 & $i(all_1284_0) & $i(all_1284_1) &
% 226.63/34.75 | $i(all_1284_2) & $i(all_1284_3) & $i(all_1284_4) & $i(all_1284_5) &
% 226.63/34.75 | $i(all_1284_6)
% 226.63/34.75 |
% 226.63/34.75 | ALPHA: (348) implies:
% 226.63/34.75 | (349) hAPP(all_1284_6, all_1284_5) = all_1284_4
% 226.63/34.75 | (350) hAPP(all_1284_1, all_1284_5) = all_1284_0
% 226.63/34.75 | (351) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1284_5
% 226.63/34.75 | (352) c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1284_0
% 226.63/34.75 | (353) c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, all_1284_4) =
% 226.63/34.75 | all_1284_3
% 226.63/34.75 | (354) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = all_1284_6
% 226.63/34.75 | (355) c_Polynomial_Opoly(tc_Complex_Ocomplex, all_1284_2) = all_1284_1
% 226.63/34.75 | (356) c_Polynomial_Osmult(tc_Complex_Ocomplex, all_1284_3, v_q____) =
% 226.63/34.75 | all_1284_2
% 226.63/34.75 |
% 226.63/34.75 | DELTA: instantiating (68) with fresh symbols all_1286_0, all_1286_1,
% 226.63/34.75 | all_1286_2, all_1286_3 gives:
% 226.63/34.75 | (357) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = all_1286_1 &
% 226.63/34.75 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 226.63/34.75 | all_1286_2 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 226.63/34.75 | all_1286_3 & $i(all_1286_0) & $i(all_1286_1) & $i(all_1286_2) &
% 226.63/34.75 | $i(all_1286_3) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 226.63/34.75 | all_1286_3, all_1286_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 226.63/34.75 | (hAPP(all_1286_1, v0) = v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: $i]
% 226.63/34.75 | : ((c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v3 &
% 226.63/34.75 | $i(v3) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 226.63/34.75 | v3, all_1286_0)) |
% 226.63/34.75 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v0) = v2 &
% 226.63/34.75 | $i(v2) & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 226.63/34.75 | v2, all_1286_2))))
% 226.63/34.75 |
% 226.63/34.75 | ALPHA: (357) implies:
% 226.63/34.75 | (358) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1286_3
% 226.63/34.75 | (359) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 226.63/34.75 | all_1286_2
% 226.63/34.75 |
% 226.63/34.75 | DELTA: instantiating (68) with fresh symbols all_1289_0, all_1289_1,
% 226.63/34.75 | all_1289_2, all_1289_3 gives:
% 226.63/34.76 | (360) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_s____) = all_1289_1 &
% 226.63/34.76 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 226.63/34.76 | all_1289_2 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 226.63/34.76 | all_1289_3 & $i(all_1289_0) & $i(all_1289_1) & $i(all_1289_2) &
% 226.63/34.76 | $i(all_1289_3) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 226.63/34.76 | all_1289_3, all_1289_0) & ! [v0: $i] : ! [v1: $i] : ( ~
% 226.63/34.76 | (hAPP(all_1289_1, v0) = v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: $i]
% 226.63/34.76 | : ((c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v3 &
% 226.63/34.76 | $i(v3) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 226.63/34.76 | v3, all_1289_0)) |
% 226.63/34.76 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v0) = v2 &
% 226.63/34.76 | $i(v2) & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 226.63/34.76 | v2, all_1289_2))))
% 226.63/34.76 |
% 226.63/34.76 | ALPHA: (360) implies:
% 226.63/34.76 | (361) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1289_3
% 226.63/34.76 | (362) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 226.63/34.76 | all_1289_2
% 226.63/34.76 |
% 226.63/34.76 | DELTA: instantiating (88) with fresh symbols all_1292_0, all_1292_1,
% 226.63/34.76 | all_1292_2, all_1292_3, all_1292_4, all_1292_5, all_1292_6, all_1292_7
% 226.63/34.76 | gives:
% 226.63/34.76 | (363) c_Polynomial_Omonom(tc_Complex_Ocomplex, v_a____, all_1292_5) =
% 226.63/34.76 | all_1292_4 & c_Polynomial_OpCons(tc_Complex_Ocomplex, all_1292_7,
% 226.63/34.76 | all_1292_4) = all_1292_3 &
% 226.63/34.76 | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v_k____, all_1292_6) =
% 226.63/34.76 | all_1292_5 & c_Polynomial_Opoly(tc_Complex_Ocomplex, all_1292_3) =
% 226.63/34.76 | all_1292_2 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1292_6 &
% 226.63/34.76 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1292_7 &
% 226.63/34.76 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1292_1 &
% 226.63/34.76 | hAPP(all_1292_2, all_1292_0) = all_1292_1 & $i(all_1292_0) &
% 226.63/34.76 | $i(all_1292_1) & $i(all_1292_2) & $i(all_1292_3) & $i(all_1292_4) &
% 226.63/34.76 | $i(all_1292_5) & $i(all_1292_6) & $i(all_1292_7)
% 226.63/34.76 |
% 226.63/34.76 | ALPHA: (363) implies:
% 226.63/34.76 | (364) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1292_1
% 226.63/34.76 | (365) c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1292_7
% 226.63/34.76 | (366) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1292_6
% 226.63/34.76 |
% 226.63/34.76 | DELTA: instantiating (60) with fresh symbol all_1300_0 gives:
% 226.82/34.76 | (367) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1300_0 &
% 226.82/34.76 | $i(all_1300_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 226.82/34.76 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~
% 226.82/34.76 | $i(v1) | ~ $i(v0) | ~
% 226.82/34.76 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1300_0, v2) |
% 226.82/34.76 | ? [v3: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1)
% 226.82/34.76 | = v3 & $i(v3) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 226.82/34.76 | v3, v0))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 226.82/34.76 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~
% 226.82/34.76 | $i(v1) | ~ $i(v0) |
% 226.82/34.76 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1300_0, v2) |
% 226.82/34.76 | ? [v3: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1)
% 226.82/34.76 | = v3 & $i(v3) & ~
% 226.82/34.76 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0)))
% 226.82/34.76 |
% 226.82/34.76 | ALPHA: (367) implies:
% 226.82/34.76 | (368) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1300_0
% 226.82/34.76 |
% 226.82/34.76 | DELTA: instantiating (59) with fresh symbol all_1303_0 gives:
% 226.82/34.76 | (369) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1303_0 &
% 226.82/34.76 | $i(all_1303_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 226.82/34.76 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~
% 226.82/34.76 | $i(v1) | ~ $i(v0) | ~
% 226.82/34.76 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1303_0, v2)
% 226.82/34.76 | | ? [v3: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 226.82/34.76 | v1) = v3 & $i(v3) &
% 226.82/34.76 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0))) &
% 226.82/34.76 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 226.82/34.76 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~
% 226.82/34.76 | $i(v1) | ~ $i(v0) |
% 226.82/34.76 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1303_0, v2)
% 226.82/34.76 | | ? [v3: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 226.82/34.76 | v1) = v3 & $i(v3) & ~
% 226.82/34.76 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0)))
% 226.82/34.76 |
% 226.82/34.76 | ALPHA: (369) implies:
% 226.82/34.76 | (370) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1303_0
% 226.82/34.76 |
% 226.82/34.76 | DELTA: instantiating (61) with fresh symbol all_1306_0 gives:
% 226.82/34.76 | (371) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1306_0 &
% 226.82/34.76 | $i(all_1306_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 226.82/34.76 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~
% 226.82/34.76 | $i(v1) | ~ $i(v0) | ~
% 226.82/34.76 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, all_1306_0) |
% 226.82/34.76 | ? [v3: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1)
% 226.82/34.76 | = v3 & $i(v3) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 226.82/34.76 | v0, v3))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 226.82/34.76 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~
% 226.82/34.76 | $i(v1) | ~ $i(v0) |
% 226.82/34.76 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, all_1306_0) |
% 226.82/34.76 | ? [v3: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1)
% 226.82/34.76 | = v3 & $i(v3) & ~
% 226.82/34.76 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3)))
% 226.82/34.76 |
% 226.82/34.76 | ALPHA: (371) implies:
% 226.82/34.76 | (372) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1306_0
% 226.82/34.76 |
% 226.82/34.76 | DELTA: instantiating (103) with fresh symbols all_1315_0, all_1315_1 gives:
% 226.82/34.76 | (373) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1315_0 &
% 226.82/34.76 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1315_1 &
% 226.82/34.76 | $i(all_1315_0) & $i(all_1315_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 226.82/34.76 | $i] : ! [v3: $i] : ( ~ (c_Groups_Osgn__class_Osgn(v1, v0) = v2) |
% 226.82/34.76 | ~ (c_RealVector_Onorm__class_Onorm(v1, v2) = v3) | ~ $i(v1) | ~
% 226.82/34.76 | $i(v0) | ~ class_RealVector_Oreal__normed__vector(v1) | ? [v4:
% 226.82/34.76 | $i] : ((v3 = all_1315_0 | (v4 = v0 &
% 226.82/34.76 | c_Groups_Ozero__class_Ozero(v1) = v0)) & (v3 = all_1315_1 | (
% 226.82/34.76 | ~ (v4 = v0) & c_Groups_Ozero__class_Ozero(v1) = v4 &
% 226.82/34.76 | $i(v4)))))
% 226.82/34.76 |
% 226.82/34.76 | ALPHA: (373) implies:
% 226.82/34.76 | (374) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1315_1
% 226.82/34.76 | (375) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1315_0
% 226.82/34.76 |
% 226.82/34.76 | DELTA: instantiating (31) with fresh symbol all_1318_0 gives:
% 226.82/34.76 | (376) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1318_0 &
% 226.82/34.76 | $i(all_1318_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 226.82/34.76 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~
% 226.82/34.76 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v6) = v7) | ~
% 226.82/34.76 | (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_1318_0,
% 226.82/34.76 | v2) = v3) | ~ (hAPP(all_1318_0, v1) = v5) | ~ $i(v2) | ~
% 226.82/34.76 | $i(v1) | ~ $i(v0) | ? [v8: $i] : ? [v9: $i] :
% 226.82/34.76 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v8 &
% 226.82/34.76 | hAPP(v9, v0) = v7 & hAPP(all_1318_0, v8) = v9 & $i(v9) & $i(v8) &
% 226.82/34.76 | $i(v7)))
% 226.82/34.76 |
% 226.82/34.76 | ALPHA: (376) implies:
% 226.82/34.76 | (377) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1318_0
% 226.82/34.76 |
% 226.82/34.76 | DELTA: instantiating (58) with fresh symbol all_1327_0 gives:
% 226.82/34.76 | (378) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1327_0 &
% 226.82/34.76 | $i(all_1327_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 226.82/34.76 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~
% 226.82/34.76 | $i(v1) | ~ $i(v0) | ~
% 226.82/34.76 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, all_1327_0)
% 226.82/34.76 | | ? [v3: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 226.82/34.76 | v1) = v3 & $i(v3) &
% 226.82/34.76 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3))) &
% 226.82/34.76 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 226.82/34.76 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~
% 226.82/34.76 | $i(v1) | ~ $i(v0) |
% 226.82/34.76 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, all_1327_0)
% 226.82/34.76 | | ? [v3: $i] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal,
% 226.82/34.76 | v1) = v3 & $i(v3) & ~
% 226.82/34.76 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3)))
% 226.82/34.76 |
% 226.82/34.76 | ALPHA: (378) implies:
% 226.82/34.76 | (379) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1327_0
% 226.82/34.76 |
% 226.82/34.76 | DELTA: instantiating (23) with fresh symbols all_1330_0, all_1330_1 gives:
% 226.82/34.76 | (380) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1330_0 &
% 226.82/34.76 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1330_1 &
% 226.82/34.76 | $i(all_1330_0) & $i(all_1330_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 226.82/34.76 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 226.82/34.76 | [v7: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v3, v1) = v4) | ~
% 226.82/34.76 | (c_RealVector_Onorm__class_Onorm(v3, v0) = v6) | ~ (hAPP(v5, v6) =
% 226.82/34.76 | v7) | ~ (hAPP(all_1330_0, v2) = v5) | ~ $i(v3) | ~ $i(v2) | ~
% 226.82/34.76 | $i(v1) | ~ $i(v0) | ~ class_RealVector_Oreal__normed__vector(v3)
% 226.82/34.76 | | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v7) |
% 226.82/34.76 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2,
% 226.82/34.76 | all_1330_1) | c_Groups_Ozero__class_Ozero(v3) = v1)
% 226.82/34.76 |
% 226.82/34.76 | ALPHA: (380) implies:
% 226.82/34.76 | (381) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1330_1
% 226.82/34.76 | (382) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1330_0
% 226.82/34.76 |
% 226.82/34.76 | DELTA: instantiating (9) with fresh symbols all_1336_0, all_1336_1,
% 226.82/34.76 | all_1336_2, all_1336_3, all_1336_4, all_1336_5, all_1336_6, all_1336_7
% 226.82/34.76 | gives:
% 226.82/34.76 | (383) c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, all_1336_7,
% 226.82/34.76 | all_1336_1) = all_1336_0 &
% 226.82/34.76 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1336_6 &
% 226.82/34.76 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1336_5 &
% 226.82/34.76 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1336_7 &
% 226.82/34.76 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1336_0 &
% 226.82/34.76 | hAPP(all_1336_2, v_a____) = all_1336_1 & hAPP(all_1336_4, v_k____) =
% 226.82/34.76 | all_1336_3 & hAPP(all_1336_5, v_w____) = all_1336_4 &
% 226.82/34.76 | hAPP(all_1336_6, all_1336_3) = all_1336_2 & $i(all_1336_0) &
% 226.82/34.76 | $i(all_1336_1) & $i(all_1336_2) & $i(all_1336_3) & $i(all_1336_4) &
% 226.82/34.76 | $i(all_1336_5) & $i(all_1336_6) & $i(all_1336_7)
% 226.82/34.76 |
% 226.82/34.76 | ALPHA: (383) implies:
% 226.82/34.76 | (384) $i(all_1336_3)
% 226.82/34.76 | (385) hAPP(all_1336_6, all_1336_3) = all_1336_2
% 226.82/34.76 | (386) hAPP(all_1336_5, v_w____) = all_1336_4
% 226.82/34.76 | (387) hAPP(all_1336_4, v_k____) = all_1336_3
% 226.82/34.76 | (388) hAPP(all_1336_2, v_a____) = all_1336_1
% 226.82/34.76 | (389) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1336_0
% 226.82/34.76 | (390) c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1336_7
% 226.82/34.76 | (391) c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1336_5
% 226.82/34.76 | (392) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1336_6
% 226.82/34.76 |
% 226.82/34.76 | DELTA: instantiating (44) with fresh symbols all_1338_0, all_1338_1 gives:
% 226.82/34.76 | (393) c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1338_1 &
% 226.82/34.76 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1338_0 & $i(all_1338_0)
% 226.82/34.76 | & $i(all_1338_1) & ! [v0: $i] : ! [v1: any] : ! [v2: $i] : (v1 =
% 226.82/34.76 | all_1338_0 | ~ (hAPP(v2, v0) = all_1338_0) | ~ (hAPP(all_1338_1,
% 226.82/34.76 | v1) = v2) | ~ $i(v1) | ~ $i(v0)) & ! [v0: any] : ! [v1: $i]
% 226.82/34.76 | : ! [v2: $i] : (v0 = all_1338_0 | ~ (hAPP(v2, v0) = all_1338_0) |
% 226.82/34.76 | ~ (hAPP(all_1338_1, v1) = v2) | ~ $i(v1) | ~ $i(v0)) & ! [v0:
% 226.82/34.76 | $i] : ! [v1: int] : (v1 = all_1338_0 | ~ (hAPP(v0, all_1338_0) =
% 226.82/34.76 | v1) | ~ (hAPP(all_1338_1, all_1338_0) = v0))
% 226.82/34.76 |
% 226.82/34.76 | ALPHA: (393) implies:
% 226.82/34.76 | (394) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1338_0
% 226.82/34.76 |
% 226.82/34.76 | DELTA: instantiating (46) with fresh symbols all_1341_0, all_1341_1 gives:
% 226.82/34.76 | (395) c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1341_0 &
% 226.82/34.76 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1341_1 & $i(all_1341_0)
% 226.82/34.76 | & $i(all_1341_1) & ! [v0: $i] : ! [v1: any] : ! [v2: $i] : (v1 =
% 226.82/34.76 | all_1341_1 | ~ (hAPP(v2, v0) = all_1341_1) | ~ (hAPP(all_1341_0,
% 226.82/34.76 | v1) = v2) | ~ $i(v1) | ~ $i(v0)) & ! [v0: any] : ! [v1: $i]
% 226.82/34.76 | : ! [v2: $i] : (v0 = all_1341_1 | ~ (hAPP(v2, v0) = all_1341_1) |
% 226.82/34.76 | ~ (hAPP(all_1341_0, v1) = v2) | ~ $i(v1) | ~ $i(v0)) & ! [v0:
% 226.82/34.76 | $i] : ! [v1: int] : (v1 = all_1341_1 | ~ (hAPP(v0, all_1341_1) =
% 226.82/34.76 | v1) | ~ (hAPP(all_1341_0, all_1341_1) = v0))
% 226.82/34.76 |
% 226.82/34.76 | ALPHA: (395) implies:
% 226.82/34.76 | (396) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1341_1
% 226.82/34.76 |
% 226.82/34.76 | DELTA: instantiating (21) with fresh symbol all_1347_0 gives:
% 226.82/34.76 | (397) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1347_0 &
% 226.82/34.76 | $i(all_1347_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 226.82/34.76 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 226.82/34.76 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ (hAPP(v4, v0) =
% 226.82/34.76 | v5) | ~ (hAPP(all_1347_0, v3) = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 226.82/34.76 | $i(v0) | ~ class_RealVector_Oreal__normed__div__algebra(v2) | ?
% 226.82/34.76 | [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 226.82/34.76 | (c_Power_Opower__class_Opower(v2) = v6 &
% 226.82/34.76 | c_RealVector_Onorm__class_Onorm(v2, v8) = v5 & hAPP(v7, v0) = v8
% 226.82/34.76 | & hAPP(v6, v1) = v7 & $i(v8) & $i(v7) & $i(v6) & $i(v5)))
% 226.82/34.76 |
% 226.82/34.76 | ALPHA: (397) implies:
% 226.82/34.76 | (398) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1347_0
% 226.82/34.76 |
% 226.82/34.76 | DELTA: instantiating (107) with fresh symbols all_1356_0, all_1356_1,
% 226.82/34.76 | all_1356_2 gives:
% 226.82/34.76 | (399) c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1356_1 &
% 226.82/34.76 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1356_0 &
% 226.82/34.76 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1356_2 &
% 226.82/34.76 | $i(all_1356_0) & $i(all_1356_1) & $i(all_1356_2) & ! [v0: any] : !
% 226.82/34.76 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v0 = all_1356_0 | ~
% 226.82/34.76 | (hAPP(v2, v1) = v3) | ~ (hAPP(all_1356_1, v0) = v2) | ~ $i(v1) |
% 226.82/34.76 | ~ $i(v0) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v3, v1) | ~
% 226.82/34.76 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1356_2, v1)) & !
% 226.82/34.76 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (hAPP(v1, v0) = v2) | ~
% 226.82/34.76 | (hAPP(all_1356_1, all_1356_0) = v1) | ~ $i(v0) | ~
% 226.82/34.76 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1356_2, v0) |
% 226.82/34.76 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v0))
% 226.82/34.76 |
% 226.82/34.76 | ALPHA: (399) implies:
% 226.82/34.76 | (400) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1356_0
% 226.82/34.76 |
% 226.82/34.76 | DELTA: instantiating (109) with fresh symbols all_1359_0, all_1359_1,
% 226.82/34.76 | all_1359_2 gives:
% 226.82/34.77 | (401) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, all_1359_1) =
% 226.82/34.77 | all_1359_0 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1359_1
% 226.82/34.77 | & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1359_2 &
% 226.82/34.77 | $i(all_1359_0) & $i(all_1359_1) & $i(all_1359_2) & ! [v0: any] : !
% 226.82/34.77 | [v1: int] : (v1 = all_1359_0 | v0 = all_1359_2 | ~
% 226.82/34.77 | (c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, v0) = v1) | ~ $i(v0)
% 226.82/34.77 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1359_2, v0))
% 226.82/34.77 | & ! [v0: any] : ! [v1: int] : (v1 = all_1359_1 | v0 = all_1359_2 |
% 226.82/34.77 | ~ (c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, v0) = v1) | ~
% 226.82/34.77 | $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 226.82/34.77 | all_1359_2, v0)) & ! [v0: int] : (v0 = all_1359_2 | ~
% 226.82/34.77 | (c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, all_1359_2) = v0))
% 226.82/34.77 |
% 226.82/34.77 | ALPHA: (401) implies:
% 226.82/34.77 | (402) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1359_2
% 226.82/34.77 | (403) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1359_1
% 226.82/34.77 | (404) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, all_1359_1) =
% 226.82/34.77 | all_1359_0
% 226.82/34.77 |
% 226.82/34.77 | DELTA: instantiating (109) with fresh symbols all_1374_0, all_1374_1,
% 226.82/34.77 | all_1374_2 gives:
% 226.82/34.77 | (405) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, all_1374_1) =
% 226.82/34.77 | all_1374_0 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1374_1
% 226.82/34.77 | & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1374_2 &
% 226.82/34.77 | $i(all_1374_0) & $i(all_1374_1) & $i(all_1374_2) & ! [v0: any] : !
% 226.82/34.77 | [v1: int] : (v1 = all_1374_0 | v0 = all_1374_2 | ~
% 226.82/34.77 | (c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, v0) = v1) | ~ $i(v0)
% 226.82/34.77 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1374_2, v0))
% 226.82/34.77 | & ! [v0: any] : ! [v1: int] : (v1 = all_1374_1 | v0 = all_1374_2 |
% 226.82/34.77 | ~ (c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, v0) = v1) | ~
% 226.82/34.77 | $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 226.82/34.77 | all_1374_2, v0)) & ! [v0: int] : (v0 = all_1374_2 | ~
% 226.82/34.77 | (c_Groups_Osgn__class_Osgn(tc_RealDef_Oreal, all_1374_2) = v0))
% 226.82/34.77 |
% 226.82/34.77 | ALPHA: (405) implies:
% 226.82/34.77 | (406) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1374_2
% 226.82/34.77 | (407) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1374_1
% 226.82/34.77 | (408) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, all_1374_1) =
% 226.82/34.77 | all_1374_0
% 226.82/34.77 |
% 226.82/34.77 | DELTA: instantiating (13) with fresh symbol all_1380_0 gives:
% 226.82/34.77 | (409) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1380_0 &
% 226.82/34.77 | $i(all_1380_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 226.82/34.77 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 226.82/34.77 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ (hAPP(v4, v0) =
% 226.82/34.77 | v5) | ~ (hAPP(all_1380_0, v3) = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 226.82/34.77 | $i(v0) | ~ class_RealVector_Oreal__normed__algebra__1(v2) | ?
% 226.82/34.77 | [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 226.82/34.77 | (c_Power_Opower__class_Opower(v2) = v6 &
% 226.82/34.77 | c_RealVector_Onorm__class_Onorm(v2, v8) = v9 & hAPP(v7, v0) = v8
% 226.82/34.77 | & hAPP(v6, v1) = v7 & $i(v9) & $i(v8) & $i(v7) & $i(v6) &
% 226.82/34.77 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v9, v5)))
% 226.82/34.77 |
% 226.82/34.77 | ALPHA: (409) implies:
% 226.82/34.77 | (410) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1380_0
% 226.82/34.77 |
% 226.82/34.77 | DELTA: instantiating (106) with fresh symbols all_1383_0, all_1383_1,
% 226.82/34.77 | all_1383_2 gives:
% 226.82/34.77 | (411) c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1383_1 &
% 226.82/34.77 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1383_0 &
% 226.82/34.77 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1383_2 &
% 226.82/34.77 | $i(all_1383_0) & $i(all_1383_1) & $i(all_1383_2) & ! [v0: any] : !
% 226.82/34.77 | [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v0 = all_1383_0 | ~
% 226.82/34.77 | (hAPP(v2, v0) = v3) | ~ (hAPP(all_1383_1, v1) = v2) | ~ $i(v1) |
% 226.82/34.77 | ~ $i(v0) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v3, v1) | ~
% 226.82/34.77 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1383_2, v1)) & !
% 226.82/34.77 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (hAPP(v1, all_1383_0) =
% 226.82/34.77 | v2) | ~ (hAPP(all_1383_1, v0) = v1) | ~ $i(v0) | ~
% 226.82/34.77 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1383_2, v0) |
% 226.82/34.77 | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v0))
% 226.82/34.77 |
% 226.82/34.77 | ALPHA: (411) implies:
% 226.82/34.77 | (412) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1383_0
% 226.82/34.77 |
% 226.82/34.77 | DELTA: instantiating (65) with fresh symbols all_1386_0, all_1386_1 gives:
% 226.82/34.77 | (413) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1386_0 &
% 226.82/34.77 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1386_1 &
% 226.82/34.77 | $i(all_1386_0) & $i(all_1386_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 226.82/34.77 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 226.82/34.77 | [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~
% 226.82/34.77 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, all_1386_0) = v6) |
% 226.82/34.77 | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~
% 226.82/34.77 | (c_Power_Opower__class_Opower(v2) = v4) | ~ (hAPP(v8, v0) = v9) |
% 226.82/34.77 | ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v7) =
% 226.82/34.77 | v8) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 226.82/34.77 | class_Groups_Omonoid__mult(v2) | ~
% 226.82/34.77 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_1386_1, v1) |
% 226.82/34.77 | (hAPP(v5, v1) = v9 & $i(v9)))
% 226.82/34.77 |
% 226.82/34.77 | ALPHA: (413) implies:
% 226.82/34.77 | (414) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1386_0
% 226.82/34.77 |
% 226.82/34.77 | DELTA: instantiating (40) with fresh symbols all_1395_0, all_1395_1,
% 226.82/34.77 | all_1395_2, all_1395_3, all_1395_4, all_1395_5, all_1395_6, all_1395_7,
% 226.82/34.77 | all_1395_8 gives:
% 226.82/34.77 | (415) c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, all_1395_8,
% 226.82/34.77 | all_1395_0) = all_1395_5 &
% 226.82/34.77 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1395_7 &
% 226.82/34.77 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1395_6 &
% 226.82/34.77 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1395_8 &
% 226.82/34.77 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1395_5 &
% 226.82/34.77 | hAPP(all_1395_1, v_a____) = all_1395_0 & hAPP(all_1395_3, v_k____) =
% 226.82/34.77 | all_1395_2 & hAPP(all_1395_6, all_1395_4) = all_1395_3 &
% 226.82/34.77 | hAPP(all_1395_7, all_1395_2) = all_1395_1 & $i(all_1395_0) &
% 226.82/34.77 | $i(all_1395_1) & $i(all_1395_2) & $i(all_1395_3) & $i(all_1395_4) &
% 226.82/34.77 | $i(all_1395_5) & $i(all_1395_6) & $i(all_1395_7) & $i(all_1395_8)
% 226.82/34.77 |
% 226.82/34.77 | ALPHA: (415) implies:
% 226.82/34.77 | (416) $i(all_1395_4)
% 226.82/34.77 | (417) $i(all_1395_2)
% 226.82/34.77 | (418) hAPP(all_1395_7, all_1395_2) = all_1395_1
% 226.82/34.77 | (419) hAPP(all_1395_6, all_1395_4) = all_1395_3
% 226.82/34.77 | (420) hAPP(all_1395_3, v_k____) = all_1395_2
% 226.82/34.77 | (421) hAPP(all_1395_1, v_a____) = all_1395_0
% 226.82/34.77 | (422) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1395_5
% 226.82/34.77 | (423) c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1395_8
% 226.82/34.77 | (424) c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1395_6
% 226.82/34.77 | (425) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1395_7
% 226.82/34.77 |
% 226.82/34.77 | DELTA: instantiating (19) with fresh symbol all_1400_0 gives:
% 226.82/34.77 | (426) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1400_0 &
% 226.82/34.77 | $i(all_1400_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 226.82/34.77 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 226.82/34.77 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~
% 226.82/34.77 | (c_RealVector_Onorm__class_Onorm(v2, v0) = v5) | ~ (hAPP(v4, v5) =
% 226.82/34.77 | v6) | ~ (hAPP(all_1400_0, v3) = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 226.82/34.77 | $i(v0) | ~ class_RealVector_Oreal__normed__div__algebra(v2) | ?
% 226.82/34.77 | [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 226.82/34.77 | (c_Groups_Otimes__class_Otimes(v2) = v7 &
% 226.82/34.77 | c_RealVector_Onorm__class_Onorm(v2, v9) = v6 & hAPP(v8, v0) = v9
% 226.82/34.77 | & hAPP(v7, v1) = v8 & $i(v9) & $i(v8) & $i(v7) & $i(v6)))
% 226.82/34.77 |
% 226.82/34.77 | ALPHA: (426) implies:
% 226.82/34.77 | (427) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1400_0
% 226.82/34.77 |
% 226.82/34.77 | DELTA: instantiating (78) with fresh symbols all_1412_0, all_1412_1,
% 226.82/34.77 | all_1412_2, all_1412_3, all_1412_4, all_1412_5, all_1412_6, all_1412_7,
% 226.82/34.77 | all_1412_8 gives:
% 226.82/34.77 | (428) c_Polynomial_Osmult(tc_Complex_Ocomplex, all_1412_4, v_q____) =
% 226.82/34.77 | all_1412_3 & c_Polynomial_Opoly(tc_Complex_Ocomplex, all_1412_3) =
% 226.82/34.77 | all_1412_2 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) =
% 226.82/34.77 | all_1412_8 & c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,
% 226.82/34.77 | all_1412_6) = all_1412_4 &
% 226.82/34.77 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1412_5 &
% 226.82/34.77 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1412_7 &
% 226.82/34.77 | hAPP(all_1412_0, all_1412_6) = all_1412_6 & hAPP(all_1412_2,
% 226.82/34.77 | all_1412_7) = all_1412_1 & hAPP(all_1412_5, all_1412_1) =
% 226.82/34.77 | all_1412_0 & hAPP(all_1412_8, all_1412_7) = all_1412_6 &
% 226.82/34.77 | $i(all_1412_0) & $i(all_1412_1) & $i(all_1412_2) & $i(all_1412_3) &
% 226.82/34.77 | $i(all_1412_4) & $i(all_1412_5) & $i(all_1412_6) & $i(all_1412_7) &
% 226.82/34.77 | $i(all_1412_8)
% 226.82/34.77 |
% 226.82/34.77 | ALPHA: (428) implies:
% 226.82/34.77 | (429) $i(all_1412_1)
% 226.82/34.77 | (430) hAPP(all_1412_8, all_1412_7) = all_1412_6
% 226.82/34.77 | (431) hAPP(all_1412_5, all_1412_1) = all_1412_0
% 226.82/34.77 | (432) hAPP(all_1412_2, all_1412_7) = all_1412_1
% 226.82/34.77 | (433) hAPP(all_1412_0, all_1412_6) = all_1412_6
% 226.82/34.77 | (434) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1412_7
% 226.82/34.77 | (435) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1412_5
% 226.82/34.77 | (436) c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, all_1412_6) =
% 226.82/34.77 | all_1412_4
% 226.82/34.77 | (437) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = all_1412_8
% 226.82/34.77 | (438) c_Polynomial_Opoly(tc_Complex_Ocomplex, all_1412_3) = all_1412_2
% 226.82/34.77 | (439) c_Polynomial_Osmult(tc_Complex_Ocomplex, all_1412_4, v_q____) =
% 226.82/34.77 | all_1412_3
% 226.82/34.77 |
% 226.82/34.77 | DELTA: instantiating (84) with fresh symbols all_1414_0, all_1414_1,
% 226.82/34.77 | all_1414_2, all_1414_3, all_1414_4, all_1414_5, all_1414_6, all_1414_7,
% 226.82/34.77 | all_1414_8, all_1414_9 gives:
% 226.82/34.77 | (440) ~ (all_1414_0 = all_1414_1) &
% 226.82/34.77 | c_Polynomial_Osmult(tc_Complex_Ocomplex, all_1414_6, v_q____) =
% 226.82/34.77 | all_1414_5 & c_Polynomial_Opoly(tc_Complex_Ocomplex, all_1414_5) =
% 226.82/34.77 | all_1414_4 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) =
% 226.82/34.77 | all_1414_9 & c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,
% 226.82/34.77 | all_1414_7) = all_1414_6 &
% 226.82/34.77 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1414_8 &
% 226.82/34.77 | hAPP(all_1414_4, all_1414_2) = all_1414_0 & hAPP(all_1414_4,
% 226.82/34.77 | all_1414_3) = all_1414_1 & hAPP(all_1414_9, all_1414_8) =
% 226.82/34.77 | all_1414_7 & $i(all_1414_0) & $i(all_1414_1) & $i(all_1414_2) &
% 226.82/34.77 | $i(all_1414_3) & $i(all_1414_4) & $i(all_1414_5) & $i(all_1414_6) &
% 226.82/34.77 | $i(all_1414_7) & $i(all_1414_8) & $i(all_1414_9)
% 226.82/34.77 |
% 226.82/34.77 | ALPHA: (440) implies:
% 226.82/34.77 | (441) hAPP(all_1414_9, all_1414_8) = all_1414_7
% 226.82/34.77 | (442) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1414_8
% 226.82/34.77 | (443) c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, all_1414_7) =
% 226.82/34.77 | all_1414_6
% 226.82/34.77 | (444) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = all_1414_9
% 226.82/34.77 | (445) c_Polynomial_Opoly(tc_Complex_Ocomplex, all_1414_5) = all_1414_4
% 226.82/34.77 | (446) c_Polynomial_Osmult(tc_Complex_Ocomplex, all_1414_6, v_q____) =
% 226.82/34.77 | all_1414_5
% 226.82/34.77 |
% 226.82/34.77 | DELTA: instantiating (74) with fresh symbols all_1416_0, all_1416_1,
% 226.82/34.77 | all_1416_2, all_1416_3, all_1416_4, all_1416_5, all_1416_6, all_1416_7,
% 226.82/34.77 | all_1416_8 gives:
% 226.82/34.77 | (447) c_Polynomial_Osmult(tc_Complex_Ocomplex, all_1416_1, v_q____) =
% 226.82/34.77 | all_1416_0 &
% 226.82/34.77 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 226.82/34.77 | all_1416_0) = all_1416_5 &
% 226.82/34.77 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 226.82/34.77 | v_s____) = all_1416_8 & c_Polynomial_Opoly(tc_Complex_Ocomplex,
% 226.82/34.77 | v_q____) = all_1416_4 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat,
% 226.82/34.77 | all_1416_7, all_1416_6) = all_1416_5 &
% 226.82/34.77 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_1416_8, v_k____) =
% 226.82/34.77 | all_1416_7 & c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,
% 226.82/34.77 | all_1416_2) = all_1416_1 & c_Groups_Oone__class_Oone(tc_Nat_Onat) =
% 226.82/34.77 | all_1416_6 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 226.82/34.77 | all_1416_3 & hAPP(all_1416_4, all_1416_3) = all_1416_2 &
% 226.82/34.77 | $i(all_1416_0) & $i(all_1416_1) & $i(all_1416_2) & $i(all_1416_3) &
% 226.82/34.77 | $i(all_1416_4) & $i(all_1416_5) & $i(all_1416_6) & $i(all_1416_7) &
% 226.82/34.77 | $i(all_1416_8)
% 226.82/34.77 |
% 226.82/34.77 | ALPHA: (447) implies:
% 226.82/34.77 | (448) hAPP(all_1416_4, all_1416_3) = all_1416_2
% 226.82/34.77 | (449) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1416_3
% 226.82/34.77 | (450) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1416_6
% 226.82/34.77 | (451) c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, all_1416_2) =
% 226.82/34.77 | all_1416_1
% 226.82/34.77 | (452) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = all_1416_4
% 226.82/34.77 | (453) c_Polynomial_Osmult(tc_Complex_Ocomplex, all_1416_1, v_q____) =
% 226.82/34.77 | all_1416_0
% 226.82/34.77 |
% 226.82/34.77 | DELTA: instantiating (12) with fresh symbol all_1418_0 gives:
% 226.82/34.77 | (454) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1418_0 &
% 226.82/34.77 | $i(all_1418_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 226.82/34.77 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 226.82/34.77 | (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~
% 226.82/34.77 | (c_RealVector_Onorm__class_Onorm(v2, v0) = v5) | ~ (hAPP(v4, v5) =
% 226.82/34.77 | v6) | ~ (hAPP(all_1418_0, v3) = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 226.82/34.77 | $i(v0) | ~ class_RealVector_Oreal__normed__algebra(v2) | ? [v7:
% 226.82/34.77 | $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] :
% 226.82/34.77 | (c_Groups_Otimes__class_Otimes(v2) = v7 &
% 226.82/34.77 | c_RealVector_Onorm__class_Onorm(v2, v9) = v10 & hAPP(v8, v0) = v9
% 226.82/34.77 | & hAPP(v7, v1) = v8 & $i(v10) & $i(v9) & $i(v8) & $i(v7) &
% 226.82/34.77 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, v6)))
% 226.82/34.77 |
% 226.82/34.77 | ALPHA: (454) implies:
% 226.82/34.77 | (455) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1418_0
% 226.82/34.77 |
% 226.82/34.77 | DELTA: instantiating (14) with fresh symbol all_1430_0 gives:
% 226.82/34.77 | (456) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1430_0 &
% 226.82/34.77 | $i(all_1430_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 226.82/34.77 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 226.82/34.77 | (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v0) = v5) |
% 226.82/34.77 | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 226.82/34.77 | class_Rings_Ozero__neq__one(v2) | ~ class_Rings_Omult__zero(v2) |
% 226.82/34.77 | ~ class_Rings_Ono__zero__divisors(v2) | ~ class_Power_Opower(v2) |
% 226.82/34.77 | ? [v6: $i] : (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~
% 226.82/34.77 | (v6 = v5) | (v5 = v1 & ~ (v0 = all_1430_0))) & ( ~ (v6 = v1) |
% 226.82/34.77 | v5 = v1 | v0 = all_1430_0)))
% 226.82/34.77 |
% 226.82/34.77 | ALPHA: (456) implies:
% 226.82/34.78 | (457) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 226.82/34.78 | ! [v5: $i] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~
% 226.82/34.78 | (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~
% 226.82/34.78 | $i(v1) | ~ $i(v0) | ~ class_Rings_Ozero__neq__one(v2) | ~
% 226.82/34.78 | class_Rings_Omult__zero(v2) | ~
% 226.82/34.78 | class_Rings_Ono__zero__divisors(v2) | ~ class_Power_Opower(v2) |
% 226.82/34.78 | ? [v6: $i] : (c_Groups_Ozero__class_Ozero(v2) = v6 & $i(v6) & ( ~
% 226.82/34.78 | (v6 = v5) | (v5 = v1 & ~ (v0 = all_1430_0))) & ( ~ (v6 = v1) |
% 226.82/34.78 | v5 = v1 | v0 = all_1430_0)))
% 226.82/34.78 |
% 226.82/34.78 | DELTA: instantiating (101) with fresh symbols all_1442_0, all_1442_1 gives:
% 226.82/34.78 | (458) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1442_0 &
% 226.82/34.78 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1442_1 &
% 226.82/34.78 | $i(all_1442_0) & $i(all_1442_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 226.82/34.78 | $i] : ! [v3: $i] : ( ~ (c_Groups_Otimes__class_Otimes(v1) = v2) |
% 226.82/34.78 | ~ (hAPP(v2, v0) = v3) | ~ $i(v1) | ~ $i(v0) | ~
% 226.82/34.78 | class_RealVector_Oreal__normed__algebra(v1) | ? [v4: $i] : ($i(v4)
% 226.82/34.78 | & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1442_1, v4)
% 226.82/34.78 | & ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~
% 226.82/34.78 | (c_RealVector_Onorm__class_Onorm(v1, v5) = v6) | ~ (hAPP(v7,
% 226.82/34.78 | v4) = v8) | ~ (hAPP(all_1442_0, v6) = v7) | ~ $i(v5) | ?
% 226.82/34.78 | [v9: $i] : ? [v10: $i] : (c_RealVector_Onorm__class_Onorm(v1,
% 226.82/34.78 | v9) = v10 & hAPP(v3, v5) = v9 & $i(v10) & $i(v9) &
% 226.82/34.78 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10,
% 226.82/34.78 | v8)))))
% 226.82/34.78 |
% 226.82/34.78 | ALPHA: (458) implies:
% 226.82/34.78 | (459) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1442_1
% 226.82/34.78 | (460) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1442_0
% 226.82/34.78 |
% 226.82/34.78 | DELTA: instantiating (99) with fresh symbols all_1451_0, all_1451_1 gives:
% 226.82/34.78 | (461) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1451_0 &
% 226.82/34.78 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1451_1 &
% 226.82/34.78 | $i(all_1451_0) & $i(all_1451_1) & ? [v0: $i] : ! [v1: $i] : ! [v2:
% 226.82/34.78 | $i] : ( ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ $i(v1) | ~
% 226.82/34.78 | $i(v0) | ~ class_RealVector_Oreal__normed__algebra(v1) | ? [v3:
% 226.82/34.78 | $i] : ($i(v3) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 226.82/34.78 | all_1451_1, v3) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 226.82/34.78 | [v7: $i] : ( ~ (c_RealVector_Onorm__class_Onorm(v1, v4) = v5) |
% 226.82/34.78 | ~ (hAPP(v6, v3) = v7) | ~ (hAPP(all_1451_0, v5) = v6) | ~
% 226.82/34.78 | $i(v4) | ? [v8: $i] : ? [v9: $i] : ? [v10: $i] :
% 226.82/34.78 | (c_RealVector_Onorm__class_Onorm(v1, v9) = v10 & hAPP(v8, v0) =
% 226.82/34.78 | v9 & hAPP(v2, v4) = v8 & $i(v10) & $i(v9) & $i(v8) &
% 226.82/34.78 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10,
% 226.82/34.78 | v7)))))
% 226.82/34.78 |
% 226.82/34.78 | ALPHA: (461) implies:
% 226.82/34.78 | (462) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1451_1
% 226.82/34.78 | (463) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1451_0
% 226.82/34.78 |
% 226.82/34.78 | DELTA: instantiating (77) with fresh symbols all_1453_0, all_1453_1,
% 226.82/34.78 | all_1453_2, all_1453_3, all_1453_4, all_1453_5, all_1453_6 gives:
% 226.82/34.78 | (464) c_Polynomial_Osmult(tc_Complex_Ocomplex, all_1453_2, v_q____) =
% 226.82/34.78 | all_1453_1 & c_Polynomial_Opoly(tc_Complex_Ocomplex, all_1453_1) =
% 226.82/34.78 | all_1453_0 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) =
% 226.82/34.78 | all_1453_6 & c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,
% 226.82/34.78 | all_1453_3) = all_1453_2 &
% 226.82/34.78 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1453_5 &
% 226.82/34.78 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1453_4 &
% 226.82/34.78 | hAPP(all_1453_6, all_1453_4) = all_1453_3 & $i(all_1453_0) &
% 226.82/34.78 | $i(all_1453_1) & $i(all_1453_2) & $i(all_1453_3) & $i(all_1453_4) &
% 226.82/34.78 | $i(all_1453_5) & $i(all_1453_6) & ! [v0: $i] : ! [v1: $i] : ( ~
% 226.82/34.78 | (hAPP(all_1453_0, v0) = v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: $i]
% 226.82/34.78 | : (hAPP(v3, all_1453_3) = v2 & hAPP(all_1453_5, v1) = v3 &
% 226.82/34.78 | hAPP(all_1453_6, v0) = v2 & $i(v3) & $i(v2)))
% 226.82/34.78 |
% 226.82/34.78 | ALPHA: (464) implies:
% 226.82/34.78 | (465) hAPP(all_1453_6, all_1453_4) = all_1453_3
% 226.82/34.78 | (466) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1453_4
% 226.82/34.78 | (467) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1453_5
% 226.82/34.78 | (468) c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, all_1453_3) =
% 226.82/34.78 | all_1453_2
% 226.82/34.78 | (469) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = all_1453_6
% 226.82/34.78 | (470) c_Polynomial_Opoly(tc_Complex_Ocomplex, all_1453_1) = all_1453_0
% 226.82/34.78 | (471) c_Polynomial_Osmult(tc_Complex_Ocomplex, all_1453_2, v_q____) =
% 226.82/34.78 | all_1453_1
% 226.82/34.78 |
% 226.82/34.78 | DELTA: instantiating (41) with fresh symbols all_1459_0, all_1459_1,
% 226.82/34.78 | all_1459_2, all_1459_3, all_1459_4, all_1459_5, all_1459_6, all_1459_7,
% 226.82/34.78 | all_1459_8, all_1459_9 gives:
% 226.82/34.78 | (472) c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, all_1459_0,
% 226.82/34.78 | all_1459_9) = all_1459_1 &
% 226.82/34.78 | c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, all_1459_2,
% 226.82/34.78 | all_1459_9) = all_1459_1 &
% 226.82/34.78 | c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, all_1459_9,
% 226.82/34.78 | all_1459_3) = all_1459_2 &
% 226.82/34.78 | c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1459_8 &
% 226.82/34.78 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1459_7 &
% 226.82/34.78 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1459_9 &
% 226.82/34.78 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1459_0 &
% 226.82/34.78 | hAPP(all_1459_4, v_a____) = all_1459_3 & hAPP(all_1459_6, v_k____) =
% 226.82/34.78 | all_1459_5 & hAPP(all_1459_7, v_w____) = all_1459_6 &
% 226.82/34.78 | hAPP(all_1459_8, all_1459_5) = all_1459_4 & $i(all_1459_0) &
% 226.82/34.78 | $i(all_1459_1) & $i(all_1459_2) & $i(all_1459_3) & $i(all_1459_4) &
% 226.82/34.78 | $i(all_1459_5) & $i(all_1459_6) & $i(all_1459_7) & $i(all_1459_8) &
% 226.82/34.78 | $i(all_1459_9)
% 226.82/34.78 |
% 226.82/34.78 | ALPHA: (472) implies:
% 226.82/34.78 | (473) hAPP(all_1459_8, all_1459_5) = all_1459_4
% 226.82/34.78 | (474) hAPP(all_1459_7, v_w____) = all_1459_6
% 226.82/34.78 | (475) hAPP(all_1459_6, v_k____) = all_1459_5
% 226.82/34.78 | (476) hAPP(all_1459_4, v_a____) = all_1459_3
% 226.82/34.78 | (477) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1459_0
% 226.82/34.78 | (478) c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1459_9
% 226.82/34.78 | (479) c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1459_7
% 226.82/34.78 | (480) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1459_8
% 226.82/34.78 |
% 226.82/34.78 | DELTA: instantiating (62) with fresh symbols all_1461_0, all_1461_1,
% 226.82/34.78 | all_1461_2 gives:
% 226.82/34.78 | (481) c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1461_1 &
% 226.82/34.78 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1461_0 &
% 226.82/34.78 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1461_2 &
% 226.82/34.78 | $i(all_1461_0) & $i(all_1461_1) & $i(all_1461_2) & ! [v0: $i] : !
% 226.82/34.78 | [v1: any] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] :
% 226.82/34.78 | (v1 = all_1461_2 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1,
% 226.82/34.78 | all_1461_0) = v2) | ~
% 226.82/34.78 | (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v4) = v5) | ~
% 226.82/34.78 | (hAPP(v3, v0) = v4) | ~ (hAPP(all_1461_1, v2) = v3) | ~ $i(v1) |
% 226.82/34.78 | ~ $i(v0) | ? [v6: $i] : (hAPP(v6, v0) = v5 & hAPP(all_1461_1, v1)
% 226.82/34.78 | = v6 & $i(v6) & $i(v5))) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 226.82/34.78 | int] : (v2 = all_1461_2 | ~ (hAPP(v1, v0) = v2) | ~
% 226.82/34.78 | (hAPP(all_1461_1, all_1461_2) = v1) | ~ $i(v0))
% 226.82/34.78 |
% 226.82/34.78 | ALPHA: (481) implies:
% 226.82/34.78 | (482) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1461_0
% 226.82/34.78 |
% 226.82/34.78 | DELTA: instantiating (6) with fresh symbol all_1464_0 gives:
% 226.82/34.78 | (483) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1464_0 &
% 226.82/34.78 | $i(all_1464_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 226.82/34.78 | $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : !
% 226.82/34.78 | [v8: $i] : ! [v9: $i] : ! [v10: $i] : ( ~
% 226.82/34.78 | (c_Groups_Otimes__class_Otimes(v4) = v5) | ~
% 226.82/34.78 | (c_RealVector_Onorm__class_Onorm(v4, v7) = v8) | ~ (hAPP(v9, v0) =
% 226.82/34.78 | v10) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v3) = v6) | ~
% 226.82/34.78 | (hAPP(all_1464_0, v2) = v9) | ~ $i(v4) | ~ $i(v3) | ~ $i(v2) |
% 226.82/34.78 | ~ $i(v1) | ~ $i(v0) | ~
% 226.82/34.78 | class_RealVector_Oreal__normed__algebra(v4) |
% 226.82/34.78 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v10) | ? [v11:
% 226.82/34.78 | $i] : ? [v12: $i] : ((c_RealVector_Onorm__class_Onorm(v4, v3) =
% 226.82/34.78 | v11 & $i(v11) & ~
% 226.82/34.78 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11, v2)) |
% 226.82/34.78 | (c_RealVector_Onorm__class_Onorm(v4, v1) = v12 & $i(v12) & ~
% 226.82/34.78 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v12, v0))))
% 226.82/34.78 |
% 226.82/34.78 | ALPHA: (483) implies:
% 226.82/34.78 | (484) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1464_0
% 226.82/34.78 |
% 226.82/34.78 | DELTA: instantiating (63) with fresh symbols all_1476_0, all_1476_1,
% 226.82/34.78 | all_1476_2, all_1476_3 gives:
% 226.82/34.78 | (485) c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_1476_0 &
% 226.82/34.78 | c_Power_Opower__class_Opower(tc_Nat_Onat) = all_1476_2 &
% 226.82/34.78 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1476_1 &
% 226.82/34.78 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1476_3 &
% 226.82/34.78 | $i(all_1476_0) & $i(all_1476_1) & $i(all_1476_2) & $i(all_1476_3) &
% 226.82/34.78 | ! [v0: $i] : ! [v1: any] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 226.82/34.78 | ! [v5: $i] : ! [v6: $i] : (v1 = all_1476_3 | ~
% 226.82/34.78 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, all_1476_1) = v4) |
% 226.82/34.78 | ~ (hAPP(v3, v5) = v6) | ~ (hAPP(v2, v4) = v5) | ~
% 226.82/34.78 | (hAPP(all_1476_0, v0) = v3) | ~ (hAPP(all_1476_2, v0) = v2) | ~
% 226.82/34.78 | $i(v1) | ~ $i(v0) | (hAPP(v2, v1) = v6 & $i(v6))) & ! [v0: $i] :
% 226.82/34.78 | ! [v1: $i] : ! [v2: int] : (v2 = all_1476_1 | ~ (hAPP(v1,
% 226.82/34.78 | all_1476_3) = v2) | ~ (hAPP(all_1476_2, v0) = v1) | ~ $i(v0))
% 226.82/34.78 |
% 226.82/34.78 | ALPHA: (485) implies:
% 226.82/34.78 | (486) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1476_1
% 226.82/34.78 |
% 226.82/34.78 | DELTA: instantiating (102) with fresh symbol all_1479_0 gives:
% 226.82/34.78 | (487) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1479_0 &
% 226.82/34.78 | $i(all_1479_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 226.82/34.78 | $i] : ! [v4: $i] : ( ~ (c_Polynomial_Opoly(tc_Complex_Ocomplex,
% 226.82/34.78 | v0) = v3) | ~ (hAPP(v3, v1) = v4) | ~ $i(v2) | ~ $i(v1) | ~
% 226.82/34.78 | $i(v0) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 226.82/34.78 | all_1479_0, v2) | ? [v5: $i] : ($i(v5) &
% 226.82/34.78 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1479_0, v5) &
% 226.82/34.78 | ! [v6: $i] : ! [v7: $i] : ! [v8: $i] : ( ~
% 226.82/34.78 | (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v7, v4) =
% 226.82/34.78 | v8) | ~ (hAPP(v3, v6) = v7) | ~ $i(v6) | ? [v9: $i] : ?
% 226.82/34.78 | [v10: $i] : ? [v11: $i] :
% 226.82/34.78 | ((c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v6, v1) =
% 226.82/34.78 | v9 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex,
% 226.82/34.78 | v9) = v10 & $i(v10) & $i(v9) & ( ~
% 226.82/34.78 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10, v5)
% 226.82/34.78 | | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 226.82/34.78 | all_1479_0, v10))) |
% 226.82/34.78 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v8) =
% 226.82/34.78 | v11 & $i(v11) &
% 226.82/34.78 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11,
% 226.82/34.78 | v2))))))
% 226.82/34.78 |
% 226.82/34.78 | ALPHA: (487) implies:
% 226.82/34.78 | (488) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1479_0
% 226.82/34.78 |
% 226.82/34.78 | DELTA: instantiating (24) with fresh symbols all_1494_0, all_1494_1 gives:
% 226.82/34.78 | (489) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1494_0 &
% 226.82/34.78 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1494_1 &
% 226.82/34.78 | $i(all_1494_0) & $i(all_1494_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 226.82/34.78 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v3, v1) =
% 226.82/34.78 | v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_1494_0, v2) = v3) |
% 226.82/34.78 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 226.82/34.78 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v5) | ~
% 226.82/34.78 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1494_1, v2) |
% 226.82/34.78 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0)) & !
% 226.82/34.78 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 226.82/34.78 | [v5: $i] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~
% 226.82/34.78 | (hAPP(all_1494_0, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) |
% 226.82/34.78 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) | ~
% 226.82/34.78 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1494_1, v2) |
% 226.82/34.78 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v5))
% 226.82/34.78 |
% 226.82/34.78 | ALPHA: (489) implies:
% 226.82/34.78 | (490) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1494_1
% 226.82/34.78 | (491) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1494_0
% 226.82/34.78 |
% 226.82/34.78 | DELTA: instantiating (147) with fresh symbols all_1503_0, all_1503_1,
% 226.82/34.78 | all_1503_2, all_1503_3, all_1503_4, all_1503_5, all_1503_6, all_1503_7,
% 226.82/34.78 | all_1503_8, all_1503_9, all_1503_10 gives:
% 226.82/34.78 | (492) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_1503_5) =
% 226.82/34.78 | all_1503_4 & c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal,
% 226.82/34.78 | all_1503_1) = all_1503_0 &
% 226.82/34.78 | c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1503_9 &
% 226.82/34.78 | c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1503_8 &
% 226.82/34.78 | c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1503_5 &
% 226.82/34.78 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 226.82/34.78 | all_1503_7 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) =
% 226.82/34.78 | all_1503_10 & hAPP(all_1503_2, v_m____) = all_1503_1 &
% 226.82/34.78 | hAPP(all_1503_6, all_1503_4) = all_1503_3 & hAPP(all_1503_8,
% 226.82/34.78 | all_1503_7) = all_1503_6 & hAPP(all_1503_9, all_1503_3) =
% 226.82/34.78 | all_1503_2 & $i(all_1503_0) & $i(all_1503_1) & $i(all_1503_2) &
% 226.82/34.78 | $i(all_1503_3) & $i(all_1503_4) & $i(all_1503_5) & $i(all_1503_6) &
% 226.82/34.78 | $i(all_1503_7) & $i(all_1503_8) & $i(all_1503_9) & $i(all_1503_10) &
% 226.82/34.78 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1503_10,
% 226.82/34.78 | all_1503_0)
% 226.82/34.78 |
% 226.82/34.78 | ALPHA: (492) implies:
% 226.82/34.78 | (493) ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1503_10,
% 226.82/34.78 | all_1503_0)
% 226.82/34.78 | (494) $i(all_1503_3)
% 226.82/34.78 | (495) $i(all_1503_1)
% 226.82/34.78 | (496) hAPP(all_1503_9, all_1503_3) = all_1503_2
% 226.82/34.78 | (497) hAPP(all_1503_8, all_1503_7) = all_1503_6
% 226.82/34.78 | (498) hAPP(all_1503_6, all_1503_4) = all_1503_3
% 226.82/34.78 | (499) hAPP(all_1503_2, v_m____) = all_1503_1
% 226.82/34.78 | (500) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1503_10
% 226.82/34.78 | (501) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_w____) =
% 226.82/34.78 | all_1503_7
% 226.82/34.78 | (502) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1503_5
% 226.82/34.78 | (503) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_1503_8
% 226.82/34.78 | (504) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1503_9
% 226.82/34.78 | (505) c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, all_1503_1) =
% 226.82/34.78 | all_1503_0
% 226.82/34.78 | (506) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_1503_5) =
% 226.82/34.78 | all_1503_4
% 226.82/34.78 |
% 226.82/34.78 | DELTA: instantiating (100) with fresh symbols all_1508_0, all_1508_1 gives:
% 226.82/34.78 | (507) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1508_0 &
% 226.82/34.78 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1508_1 &
% 226.82/34.78 | $i(all_1508_0) & $i(all_1508_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 226.82/34.78 | (c_Groups_Otimes__class_Otimes(v0) = v1) | ~ $i(v0) | ~
% 226.82/34.78 | class_RealVector_Oreal__normed__algebra(v0) | ? [v2: $i] : ($i(v2)
% 226.82/34.78 | & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1508_1, v2)
% 226.82/34.78 | & ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ! [v7:
% 226.82/34.79 | $i] : ! [v8: $i] : ! [v9: $i] : ! [v10: $i] : ( ~
% 226.82/34.79 | (c_RealVector_Onorm__class_Onorm(v0, v4) = v7) | ~
% 226.82/34.79 | (c_RealVector_Onorm__class_Onorm(v0, v3) = v5) | ~ (hAPP(v9,
% 226.82/34.79 | v2) = v10) | ~ (hAPP(v6, v7) = v8) | ~ (hAPP(all_1508_0,
% 226.82/34.79 | v8) = v9) | ~ (hAPP(all_1508_0, v5) = v6) | ~ $i(v4) | ~
% 226.82/34.79 | $i(v3) | ? [v11: $i] : ? [v12: $i] : ? [v13: $i] :
% 226.82/34.79 | (c_RealVector_Onorm__class_Onorm(v0, v12) = v13 & hAPP(v11, v4)
% 226.82/34.79 | = v12 & hAPP(v1, v3) = v11 & $i(v13) & $i(v12) & $i(v11) &
% 226.82/34.79 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v13,
% 226.82/34.79 | v10)))))
% 226.82/34.79 |
% 226.82/34.79 | ALPHA: (507) implies:
% 226.82/34.79 | (508) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1508_1
% 226.82/34.79 | (509) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1508_0
% 226.82/34.79 |
% 226.82/34.79 | DELTA: instantiating (34) with fresh symbols all_1511_0, all_1511_1 gives:
% 226.82/34.79 | (510) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1511_1 &
% 226.82/34.79 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1511_0 &
% 226.82/34.79 | $i(all_1511_0) & $i(all_1511_1) & ! [v0: $i] : ! [v1: any] : !
% 226.82/34.79 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v1 = all_1511_0
% 226.82/34.79 | | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) =
% 226.82/34.79 | all_1511_0) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v1) = v3) |
% 226.82/34.79 | ~ (hAPP(all_1511_1, v1) = v2) | ~ (hAPP(all_1511_1, v0) = v4) | ~
% 226.82/34.79 | $i(v1) | ~ $i(v0)) & ! [v0: any] : ! [v1: $i] : ! [v2: $i] : !
% 226.82/34.79 | [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v0 = all_1511_0 | ~
% 226.82/34.79 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) =
% 226.82/34.79 | all_1511_0) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v1) = v3) |
% 226.82/34.79 | ~ (hAPP(all_1511_1, v1) = v2) | ~ (hAPP(all_1511_1, v0) = v4) | ~
% 226.82/34.79 | $i(v1) | ~ $i(v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: int] :
% 226.82/34.79 | (v2 = all_1511_0 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal,
% 226.82/34.79 | v1, v1) = v2) | ~ (hAPP(v0, all_1511_0) = v1) | ~
% 226.82/34.79 | (hAPP(all_1511_1, all_1511_0) = v0))
% 226.82/34.79 |
% 226.82/34.79 | ALPHA: (510) implies:
% 226.82/34.79 | (511) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1511_0
% 226.82/34.79 | (512) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1511_1
% 226.82/34.79 |
% 226.82/34.79 | DELTA: instantiating (25) with fresh symbols all_1514_0, all_1514_1 gives:
% 226.82/34.79 | (513) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1514_0 &
% 226.82/34.79 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1514_1 &
% 226.82/34.79 | $i(all_1514_0) & $i(all_1514_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 226.82/34.79 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 226.82/34.79 | (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(all_1514_0,
% 226.82/34.79 | v1) = v3) | ~ (hAPP(all_1514_0, v0) = v5) | ~ $i(v2) | ~
% 226.82/34.79 | $i(v1) | ~ $i(v0) | ~
% 226.82/34.79 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v6) | ~
% 226.82/34.79 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1514_1, v2) |
% 226.82/34.79 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0)) & !
% 226.82/34.79 | [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 226.82/34.79 | [v5: $i] : ! [v6: $i] : ( ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v2) =
% 226.82/34.79 | v4) | ~ (hAPP(all_1514_0, v1) = v3) | ~ (hAPP(all_1514_0, v0) =
% 226.82/34.79 | v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 226.82/34.79 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) | ~
% 226.82/34.79 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1514_1, v2) |
% 226.82/34.79 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v6))
% 226.82/34.79 |
% 226.82/34.79 | ALPHA: (513) implies:
% 226.82/34.79 | (514) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1514_1
% 226.82/34.79 | (515) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1514_0
% 226.82/34.79 |
% 226.82/34.79 | DELTA: instantiating (36) with fresh symbols all_1517_0, all_1517_1 gives:
% 226.82/34.79 | (516) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1517_0 &
% 226.82/34.79 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1517_1 &
% 226.82/34.79 | $i(all_1517_0) & $i(all_1517_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 226.82/34.79 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~
% 226.82/34.79 | (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(all_1517_0,
% 226.82/34.79 | v1) = v3) | ~ (hAPP(all_1517_0, v0) = v5) | ~ $i(v2) | ~
% 226.82/34.79 | $i(v1) | ~ $i(v0) | ~
% 226.82/34.79 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v6) | ~
% 226.82/34.79 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1517_1, v2) |
% 226.82/34.79 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0)) & ! [v0:
% 226.82/34.79 | $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : !
% 226.82/34.79 | [v5: $i] : ! [v6: $i] : ( ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v2) =
% 226.82/34.79 | v4) | ~ (hAPP(all_1517_0, v1) = v3) | ~ (hAPP(all_1517_0, v0) =
% 226.82/34.79 | v5) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 226.82/34.79 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) | ~
% 226.82/34.79 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1517_1, v2) |
% 226.82/34.79 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v6))
% 226.82/34.79 |
% 226.82/34.79 | ALPHA: (516) implies:
% 226.82/34.79 | (517) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1517_1
% 226.82/34.79 | (518) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1517_0
% 226.82/34.79 |
% 226.82/34.79 | DELTA: instantiating (64) with fresh symbols all_1520_0, all_1520_1 gives:
% 226.82/34.79 | (519) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1520_0 &
% 226.82/34.79 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1520_1 &
% 226.82/34.79 | $i(all_1520_0) & $i(all_1520_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 226.82/34.79 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 226.82/34.79 | [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~
% 226.82/34.79 | (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, all_1520_0) = v7) |
% 226.82/34.79 | ~ (c_Groups_Otimes__class_Otimes(v2) = v5) | ~
% 226.82/34.79 | (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v6, v8) = v9) |
% 226.82/34.79 | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v7) = v8) | ~ (hAPP(v3, v0) =
% 226.82/34.79 | v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 226.82/34.79 | class_Power_Opower(v2) | ? [v10: $i] : ? [v11: $i] : (( ~ (v1 =
% 226.82/34.79 | all_1520_1) | (v11 = v10 & c_Groups_Oone__class_Oone(v2) =
% 226.82/34.79 | v10 & hAPP(v4, all_1520_1) = v10 & $i(v10))) & (v1 =
% 226.82/34.79 | all_1520_1 | (v10 = v9 & hAPP(v4, v1) = v9 & $i(v9)))))
% 226.82/34.79 |
% 226.82/34.79 | ALPHA: (519) implies:
% 226.82/34.79 | (520) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1520_0
% 226.82/34.79 |
% 226.82/34.79 | DELTA: instantiating (97) with fresh symbol all_1531_0 gives:
% 226.82/34.79 | (521) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1531_0 &
% 226.82/34.79 | $i(all_1531_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 226.82/34.79 | $i] : ! [v4: $i] : ! [v5: $i] : ( ~
% 226.82/34.79 | (c_RealVector_Onorm__class_Onorm(v3, v4) = v5) | ~ (hAPP(v0, v1) =
% 226.82/34.79 | v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 226.82/34.79 | class_Orderings_Oord(v2) | ~
% 226.82/34.79 | class_RealVector_Oreal__normed__vector(v3) | ? [v6: $i] : ? [v7:
% 226.82/34.79 | $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ($i(v7) &
% 226.82/34.79 | ((c_Groups_Ominus__class_Ominus(v3, v4, v8) = v9 &
% 226.82/34.79 | c_RealVector_Onorm__class_Onorm(v3, v9) = v10 & hAPP(v0, v7)
% 226.82/34.79 | = v8 & $i(v10) & $i(v9) & $i(v8) &
% 226.82/34.79 | c_Orderings_Oord__class_Oless__eq(v2, v1, v7) & ~
% 226.82/34.79 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10,
% 226.82/34.79 | all_1531_0)) |
% 226.82/34.79 | (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_1531_0, v5)
% 226.82/34.79 | = v6 & $i(v6) & ! [v11: $i] : ! [v12: $i] : ! [v13: $i] :
% 226.82/34.79 | ( ~ (c_RealVector_Onorm__class_Onorm(v3, v12) = v13) | ~
% 226.82/34.79 | (hAPP(v0, v11) = v12) | ~ $i(v11) | ~
% 226.82/34.79 | c_Orderings_Oord__class_Oless__eq(v2, v1, v11) |
% 226.82/34.79 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v13,
% 226.82/34.79 | v6))))))
% 226.82/34.79 |
% 226.82/34.79 | ALPHA: (521) implies:
% 226.82/34.79 | (522) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1531_0
% 226.82/34.79 |
% 226.82/34.79 | DELTA: instantiating (4) with fresh symbols all_1534_0, all_1534_1 gives:
% 226.82/34.79 | (523) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1534_0 &
% 226.82/34.79 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1534_1 &
% 226.82/34.79 | $i(all_1534_0) & $i(all_1534_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 226.82/34.79 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 226.82/34.79 | [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~
% 226.82/34.79 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v3) = v5) | ~
% 226.82/34.79 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v2) = v8) | ~
% 226.82/34.79 | (hAPP(v7, v8) = v9) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(all_1534_0,
% 226.82/34.79 | v1) = v4) | ~ (hAPP(all_1534_0, v0) = v7) | ~ $i(v3) | ~
% 226.82/34.79 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 226.82/34.79 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1534_1, v3) |
% 226.82/34.79 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1534_1, v2) |
% 226.82/34.79 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v9) | ? [v10:
% 226.82/34.79 | $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : (hAPP(v12, v0)
% 226.82/34.79 | = v13 & hAPP(v10, v1) = v11 & hAPP(all_1534_0, v3) = v12 &
% 226.82/34.79 | hAPP(all_1534_0, v2) = v10 & $i(v13) & $i(v12) & $i(v11) &
% 226.82/34.79 | $i(v10) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11,
% 226.82/34.79 | v13)))
% 226.82/34.79 |
% 226.82/34.79 | ALPHA: (523) implies:
% 226.82/34.79 | (524) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1534_1
% 226.82/34.79 | (525) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1534_0
% 226.82/34.79 |
% 226.82/34.79 | DELTA: instantiating (5) with fresh symbols all_1537_0, all_1537_1 gives:
% 226.82/34.79 | (526) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1537_0 &
% 226.82/34.79 | c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1537_1 &
% 226.82/34.79 | $i(all_1537_0) & $i(all_1537_1) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 226.82/34.79 | $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : !
% 226.82/34.79 | [v7: $i] : ! [v8: $i] : ! [v9: $i] : ( ~
% 226.82/34.79 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v3) = v4) | ~
% 226.82/34.79 | (c_Rings_Oinverse__class_Oinverse(tc_RealDef_Oreal, v2) = v7) | ~
% 226.82/34.79 | (hAPP(v8, v0) = v9) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(all_1537_0,
% 226.82/34.79 | v7) = v8) | ~ (hAPP(all_1537_0, v4) = v5) | ~ $i(v3) | ~
% 226.82/34.79 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ~
% 226.82/34.79 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1537_1, v3) |
% 226.82/34.79 | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1537_1, v2) |
% 226.82/34.79 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v9) | ? [v10:
% 226.82/34.79 | $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : (hAPP(v12, v0)
% 226.82/34.79 | = v13 & hAPP(v10, v1) = v11 & hAPP(all_1537_0, v3) = v12 &
% 226.82/34.79 | hAPP(all_1537_0, v2) = v10 & $i(v13) & $i(v12) & $i(v11) &
% 226.82/34.79 | $i(v10) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11,
% 226.82/34.79 | v13)))
% 226.82/34.79 |
% 226.82/34.79 | ALPHA: (526) implies:
% 226.82/34.79 | (527) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1537_1
% 226.82/34.79 | (528) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_1537_0
% 226.82/34.79 |
% 226.82/34.79 | DELTA: instantiating (89) with fresh symbols all_1543_0, all_1543_1 gives:
% 226.82/34.79 | (529) c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1543_0 &
% 226.82/34.79 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1543_1 &
% 226.82/34.79 | $i(all_1543_0) & $i(all_1543_1) & ! [v0: $i] : ! [v1: $i] : ( ~
% 226.82/34.79 | (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex, v0, all_1543_0)
% 226.82/34.79 | = v1) | ~ $i(v0) | ? [v2: any] : ? [v3: $i] : ? [v4: $i] : ?
% 226.82/34.79 | [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] :
% 226.82/34.79 | (( ~ (v2 = all_1543_1) &
% 226.82/34.79 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v0) = v2 &
% 226.82/34.79 | $i(v2)) | (c_Groups_Ominus__class_Ominus(tc_Complex_Ocomplex,
% 226.82/34.79 | v0, c_Complex_Oii) = v8 &
% 226.82/34.79 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v8) = v9 &
% 226.82/34.79 | $i(v9) & $i(v8) &
% 226.82/34.79 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9,
% 226.82/34.79 | all_1543_1)) |
% 226.82/34.79 | (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v0, all_1543_0)
% 226.82/34.79 | = v3 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3)
% 226.82/34.79 | = v4 & $i(v4) & $i(v3) &
% 226.82/34.79 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4,
% 226.82/34.79 | all_1543_1)) |
% 226.82/34.79 | (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v0,
% 226.82/34.79 | c_Complex_Oii) = v6 &
% 226.82/34.79 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v6) = v7 &
% 226.82/34.79 | $i(v7) & $i(v6) &
% 226.82/34.79 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v7,
% 226.82/34.79 | all_1543_1)) |
% 226.82/34.79 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v5 &
% 226.82/34.79 | $i(v5) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v5,
% 226.82/34.79 | all_1543_1))))
% 226.82/34.79 |
% 226.82/34.79 | ALPHA: (529) implies:
% 226.82/34.79 | (530) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1543_1
% 226.82/34.79 | (531) c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1543_0
% 226.82/34.79 |
% 226.82/34.79 | DELTA: instantiating (49) with fresh symbols all_1566_0, all_1566_1,
% 226.82/34.79 | all_1566_2, all_1566_3, all_1566_4, all_1566_5 gives:
% 226.82/34.79 | (532) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1566_2 &
% 226.82/34.79 | c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1566_1 &
% 226.82/34.79 | c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1566_3 &
% 226.82/34.79 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1566_0 &
% 226.82/34.79 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1566_4 &
% 226.82/34.79 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1566_5 &
% 226.82/34.79 | $i(all_1566_0) & $i(all_1566_1) & $i(all_1566_2) & $i(all_1566_3) &
% 226.82/34.79 | $i(all_1566_4) & $i(all_1566_5) & ? [v0: any] : ! [v1: any] : !
% 226.82/34.79 | [v2: $i] : (v1 = all_1566_5 | v0 = all_1566_4 | ~ (hAPP(all_1566_2,
% 226.82/34.79 | v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] :
% 226.82/34.79 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] :
% 226.82/34.79 | (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, all_1566_3, v6) =
% 226.82/34.79 | v7 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v7) =
% 226.82/34.79 | v8 & hAPP(v4, v0) = v5 & hAPP(v2, v5) = v6 & hAPP(all_1566_1, v3)
% 226.82/34.79 | = v4 & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 226.82/34.79 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, all_1566_0)))
% 226.82/34.79 |
% 226.82/34.79 | ALPHA: (532) implies:
% 226.82/34.79 | (533) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1566_5
% 226.82/34.79 | (534) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1566_0
% 226.82/34.79 | (535) c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_1566_3
% 226.82/34.79 | (536) c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1566_1
% 226.82/34.79 | (537) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1566_2
% 226.82/34.79 |
% 226.82/34.79 | DELTA: instantiating (83) with fresh symbols all_1571_0, all_1571_1,
% 226.82/34.79 | all_1571_2, all_1571_3, all_1571_4, all_1571_5, all_1571_6, all_1571_7,
% 226.82/34.79 | all_1571_8, all_1571_9, all_1571_10 gives:
% 226.82/34.79 | (538) c_Polynomial_OpCons(tc_Complex_Ocomplex, v_a____, v_s____) =
% 226.82/34.79 | all_1571_1 & c_Polynomial_Osmult(tc_Complex_Ocomplex, all_1571_7,
% 226.82/34.79 | v_q____) = all_1571_6 & c_Polynomial_Opoly(tc_Complex_Ocomplex,
% 226.82/34.79 | all_1571_1) = all_1571_0 & c_Polynomial_Opoly(tc_Complex_Ocomplex,
% 226.82/34.79 | all_1571_6) = all_1571_5 & c_Polynomial_Opoly(tc_Complex_Ocomplex,
% 226.82/34.79 | v_q____) = all_1571_10 &
% 226.82/34.79 | c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, all_1571_8) =
% 226.82/34.79 | all_1571_7 & c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) =
% 226.82/34.79 | all_1571_3 & c_Power_Opower__class_Opower(tc_Complex_Ocomplex) =
% 226.82/34.79 | all_1571_2 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 226.82/34.79 | all_1571_9 & hAPP(all_1571_5, all_1571_9) = all_1571_4 &
% 226.82/34.79 | hAPP(all_1571_10, all_1571_9) = all_1571_8 & $i(all_1571_0) &
% 226.82/34.79 | $i(all_1571_1) & $i(all_1571_2) & $i(all_1571_3) & $i(all_1571_4) &
% 226.82/34.79 | $i(all_1571_5) & $i(all_1571_6) & $i(all_1571_7) & $i(all_1571_8) &
% 226.82/34.79 | $i(all_1571_9) & $i(all_1571_10) & ! [v0: $i] : ! [v1: $i] : !
% 226.82/34.79 | [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ (hAPP(v3,
% 226.82/34.79 | v4) = v5) | ~ (hAPP(v1, v_k____) = v2) | ~ (hAPP(all_1571_0,
% 226.82/34.79 | v0) = v4) | ~ (hAPP(all_1571_2, v0) = v1) | ~
% 226.82/34.79 | (hAPP(all_1571_3, v2) = v3) | ~ $i(v0) | ? [v6: $i] :
% 226.82/34.79 | (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, all_1571_4, v5) =
% 226.82/34.79 | v6 & hAPP(all_1571_5, v0) = v6 & $i(v6)))
% 226.82/34.79 |
% 226.82/34.79 | ALPHA: (538) implies:
% 226.82/34.79 | (539) hAPP(all_1571_10, all_1571_9) = all_1571_8
% 226.82/34.79 | (540) hAPP(all_1571_5, all_1571_9) = all_1571_4
% 226.82/34.79 | (541) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1571_9
% 226.82/34.79 | (542) c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1571_2
% 226.82/34.79 | (543) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1571_3
% 226.82/34.79 | (544) c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, all_1571_8) =
% 226.82/34.79 | all_1571_7
% 226.82/34.79 | (545) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = all_1571_10
% 226.82/34.79 | (546) c_Polynomial_Opoly(tc_Complex_Ocomplex, all_1571_6) = all_1571_5
% 226.82/34.80 | (547) c_Polynomial_Osmult(tc_Complex_Ocomplex, all_1571_7, v_q____) =
% 226.82/34.80 | all_1571_6
% 226.82/34.80 |
% 226.82/34.80 | DELTA: instantiating (82) with fresh symbols all_1597_0, all_1597_1,
% 226.82/34.80 | all_1597_2, all_1597_3, all_1597_4, all_1597_5, all_1597_6, all_1597_7
% 226.82/34.80 | gives:
% 226.82/34.80 | (548) c_Polynomial_Osmult(tc_Complex_Ocomplex, all_1597_4, v_q____) =
% 226.82/34.80 | all_1597_3 & c_Polynomial_Opoly(tc_Complex_Ocomplex, all_1597_3) =
% 226.82/34.80 | all_1597_2 & c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) =
% 226.82/34.80 | all_1597_7 & c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex,
% 226.82/34.80 | all_1597_5) = all_1597_4 &
% 226.82/34.80 | c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1597_1 &
% 226.82/34.80 | c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_1597_5) =
% 226.82/34.80 | all_1597_0 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) =
% 226.82/34.80 | all_1597_6 & hAPP(all_1597_7, all_1597_6) = all_1597_5 &
% 226.82/34.80 | $i(all_1597_0) & $i(all_1597_1) & $i(all_1597_2) & $i(all_1597_3) &
% 226.82/34.80 | $i(all_1597_4) & $i(all_1597_5) & $i(all_1597_6) & $i(all_1597_7) &
% 226.82/34.80 | ! [v0: $i] : ! [v1: $i] : ( ~ (hAPP(all_1597_2, v0) = v1) | ~
% 226.82/34.80 | $i(v0) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 226.82/34.80 | ((c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v3) = v4 &
% 226.82/34.80 | hAPP(all_1597_7, v0) = v3 & $i(v4) & $i(v3) &
% 226.82/34.80 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4,
% 226.82/34.80 | all_1597_0)) |
% 226.82/34.80 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v2 &
% 226.82/34.80 | $i(v2) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2,
% 226.82/34.80 | all_1597_1)))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 226.82/34.80 | (hAPP(all_1597_2, v0) = v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: $i]
% 226.82/34.80 | : ? [v4: $i] :
% 226.82/34.80 | ((c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3 &
% 226.82/34.80 | hAPP(all_1597_7, v0) = v2 & $i(v3) & $i(v2) & ~
% 226.82/34.80 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3,
% 226.82/34.80 | all_1597_0)) |
% 226.82/34.80 | (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v4 &
% 226.82/34.80 | $i(v4) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4,
% 226.82/34.80 | all_1597_1))))
% 226.82/34.80 |
% 226.82/34.80 | ALPHA: (548) implies:
% 226.82/34.80 | (549) hAPP(all_1597_7, all_1597_6) = all_1597_5
% 226.82/34.80 | (550) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1597_6
% 226.82/34.80 | (551) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_1597_1
% 226.82/34.80 | (552) c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, all_1597_5) =
% 226.82/34.80 | all_1597_4
% 226.82/34.80 | (553) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = all_1597_7
% 226.82/34.80 | (554) c_Polynomial_Opoly(tc_Complex_Ocomplex, all_1597_3) = all_1597_2
% 226.82/34.80 | (555) c_Polynomial_Osmult(tc_Complex_Ocomplex, all_1597_4, v_q____) =
% 226.82/34.80 | all_1597_3
% 226.82/34.80 |
% 226.82/34.80 | DELTA: instantiating (96) with fresh symbols all_1606_0, all_1606_1,
% 226.82/34.80 | all_1606_2, all_1606_3, all_1606_4, all_1606_5, all_1606_6, all_1606_7,
% 226.82/34.80 | all_1606_8, all_1606_9, all_1606_10, all_1606_11, all_1606_12,
% 226.82/34.80 | all_1606_13, all_1606_14, all_1606_15, all_1606_16, all_1606_17,
% 226.82/34.80 | all_1606_18 gives:
% 226.82/34.80 | (556) ~ (all_1606_5 = all_1606_18) & ~ (all_1606_6 = all_1606_17) &
% 226.82/34.80 | c_Polynomial_OpCons(tc_Complex_Ocomplex, all_1606_5, all_1606_4) =
% 226.82/34.80 | all_1606_1 & c_Polynomial_Osmult(tc_Complex_Ocomplex, all_1606_13,
% 226.82/34.80 | v_q____) = all_1606_12 &
% 226.82/34.80 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 226.82/34.80 | all_1606_4) = all_1606_3 &
% 226.82/34.80 | c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(tc_Complex_Ocomplex,
% 226.82/34.80 | all_1606_12) = all_1606_11 &
% 226.82/34.80 | c_Polynomial_Opoly(tc_Complex_Ocomplex, all_1606_1) = all_1606_0 &
% 226.82/34.80 | c_Polynomial_Opoly(tc_Complex_Ocomplex, all_1606_12) = all_1606_10 &
% 226.82/34.80 | c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = all_1606_15 &
% 226.82/34.80 | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_1606_2, all_1606_16) =
% 226.82/34.80 | all_1606_11 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_1606_3,
% 226.82/34.80 | all_1606_6) = all_1606_2 &
% 226.82/34.80 | c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, all_1606_14) =
% 226.82/34.80 | all_1606_13 & c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) =
% 226.82/34.80 | all_1606_8 & c_Power_Opower__class_Opower(tc_Complex_Ocomplex) =
% 226.82/34.80 | all_1606_7 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1606_16 &
% 226.82/34.80 | c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_1606_17 &
% 226.82/34.80 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1606_18 &
% 226.82/34.80 | hAPP(all_1606_10, all_1606_18) = all_1606_9 & hAPP(all_1606_15,
% 226.82/34.80 | all_1606_18) = all_1606_14 & $i(all_1606_0) & $i(all_1606_1) &
% 226.82/34.80 | $i(all_1606_2) & $i(all_1606_3) & $i(all_1606_4) & $i(all_1606_5) &
% 226.82/34.80 | $i(all_1606_6) & $i(all_1606_7) & $i(all_1606_8) & $i(all_1606_9) &
% 226.82/34.80 | $i(all_1606_10) & $i(all_1606_11) & $i(all_1606_12) & $i(all_1606_13)
% 226.82/34.80 | & $i(all_1606_14) & $i(all_1606_15) & $i(all_1606_16) &
% 226.82/34.80 | $i(all_1606_17) & $i(all_1606_18) & ! [v0: $i] : ! [v1: $i] : ( ~
% 226.82/34.80 | (hAPP(all_1606_10, v0) = v1) | ~ $i(v0) | ? [v2: $i] : ? [v3:
% 226.82/34.80 | $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] :
% 226.82/34.80 | (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, all_1606_9, v6) =
% 226.82/34.80 | v1 & hAPP(v4, v5) = v6 & hAPP(v2, all_1606_6) = v3 &
% 226.82/34.80 | hAPP(all_1606_0, v0) = v5 & hAPP(all_1606_7, v0) = v2 &
% 226.82/34.80 | hAPP(all_1606_8, v3) = v4 & $i(v6) & $i(v5) & $i(v4) & $i(v3) &
% 226.82/34.80 | $i(v2) & $i(v1)))
% 226.82/34.80 |
% 226.82/34.80 | ALPHA: (556) implies:
% 226.82/34.80 | (557) hAPP(all_1606_15, all_1606_18) = all_1606_14
% 226.82/34.80 | (558) hAPP(all_1606_10, all_1606_18) = all_1606_9
% 226.82/34.80 | (559) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1606_18
% 226.82/34.80 | (560) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_1606_16
% 226.82/34.80 | (561) c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_1606_7
% 226.82/34.80 | (562) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_1606_8
% 226.82/34.80 | (563) c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, all_1606_14) =
% 226.82/34.80 | all_1606_13
% 226.82/34.80 | (564) c_Polynomial_Opoly(tc_Complex_Ocomplex, v_q____) = all_1606_15
% 226.82/34.80 | (565) c_Polynomial_Opoly(tc_Complex_Ocomplex, all_1606_12) = all_1606_10
% 226.82/34.80 | (566) c_Polynomial_Osmult(tc_Complex_Ocomplex, all_1606_13, v_q____) =
% 226.82/34.80 | all_1606_12
% 226.82/34.80 |
% 226.82/34.80 | GROUND_INST: instantiating (148) with all_819_1, all_857_1, tc_RealDef_Oreal,
% 226.82/34.80 | simplifying with (183), (188) gives:
% 226.82/34.80 | (567) all_857_1 = all_819_1
% 226.82/34.80 |
% 226.82/34.80 | GROUND_INST: instantiating (148) with all_857_1, all_939_0, tc_RealDef_Oreal,
% 226.82/34.80 | simplifying with (188), (204) gives:
% 226.82/34.80 | (568) all_939_0 = all_857_1
% 226.82/34.80 |
% 226.82/34.80 | GROUND_INST: instantiating (148) with all_737_0, all_939_0, tc_RealDef_Oreal,
% 226.82/34.80 | simplifying with (160), (204) gives:
% 226.82/34.80 | (569) all_939_0 = all_737_0
% 226.82/34.80 |
% 226.82/34.80 | GROUND_INST: instantiating (148) with all_1083_1, all_1108_0,
% 226.82/34.80 | tc_RealDef_Oreal, simplifying with (261), (269) gives:
% 226.82/34.80 | (570) all_1108_0 = all_1083_1
% 226.82/34.80 |
% 226.82/34.80 | GROUND_INST: instantiating (148) with all_982_1, all_1108_0, tc_RealDef_Oreal,
% 226.82/34.80 | simplifying with (224), (269) gives:
% 226.82/34.80 | (571) all_1108_0 = all_982_1
% 226.82/34.80 |
% 226.82/34.80 | GROUND_INST: instantiating (148) with all_939_0, all_1108_0, tc_RealDef_Oreal,
% 226.82/34.80 | simplifying with (204), (269) gives:
% 226.82/34.80 | (572) all_1108_0 = all_939_0
% 226.82/34.80 |
% 226.82/34.80 | GROUND_INST: instantiating (148) with all_936_0, all_1108_0, tc_RealDef_Oreal,
% 226.82/34.80 | simplifying with (202), (269) gives:
% 226.82/34.80 | (573) all_1108_0 = all_936_0
% 226.82/34.80 |
% 226.82/34.80 | GROUND_INST: instantiating (148) with all_1083_1, all_1111_2,
% 226.82/34.80 | tc_RealDef_Oreal, simplifying with (261), (271) gives:
% 226.82/34.80 | (574) all_1111_2 = all_1083_1
% 226.82/34.80 |
% 226.82/34.80 | GROUND_INST: instantiating (148) with all_819_1, all_1114_0, tc_RealDef_Oreal,
% 226.82/34.80 | simplifying with (183), (275) gives:
% 226.82/34.80 | (575) all_1114_0 = all_819_1
% 226.82/34.80 |
% 226.82/34.80 | GROUND_INST: instantiating (148) with all_747_0, all_1114_0, tc_RealDef_Oreal,
% 226.82/34.80 | simplifying with (165), (275) gives:
% 226.82/34.80 | (576) all_1114_0 = all_747_0
% 226.82/34.80 |
% 226.82/34.80 | GROUND_INST: instantiating (148) with all_1111_2, all_1129_1,
% 226.82/34.80 | tc_RealDef_Oreal, simplifying with (271), (279) gives:
% 226.82/34.80 | (577) all_1129_1 = all_1111_2
% 226.82/34.80 |
% 226.82/34.80 | GROUND_INST: instantiating (148) with all_1129_1, all_1155_1,
% 226.82/34.80 | tc_RealDef_Oreal, simplifying with (279), (288) gives:
% 226.82/34.80 | (578) all_1155_1 = all_1129_1
% 226.82/34.80 |
% 226.82/34.80 | GROUND_INST: instantiating (148) with all_1155_1, all_1165_1,
% 226.82/34.80 | tc_RealDef_Oreal, simplifying with (288), (295) gives:
% 226.82/34.80 | (579) all_1165_1 = all_1155_1
% 226.82/34.80 |
% 226.82/34.80 | GROUND_INST: instantiating (148) with all_1165_1, all_1208_0,
% 226.82/34.80 | tc_RealDef_Oreal, simplifying with (295), (315) gives:
% 226.82/34.80 | (580) all_1208_0 = all_1165_1
% 226.82/34.80 |
% 226.82/34.80 | GROUND_INST: instantiating (148) with all_1208_0, all_1211_0,
% 226.82/34.80 | tc_RealDef_Oreal, simplifying with (315), (317) gives:
% 226.82/34.80 | (581) all_1211_0 = all_1208_0
% 226.82/34.80 |
% 226.82/34.80 | GROUND_INST: instantiating (148) with all_1211_0, all_1226_0,
% 226.82/34.80 | tc_RealDef_Oreal, simplifying with (317), (321) gives:
% 226.82/34.80 | (582) all_1226_0 = all_1211_0
% 226.82/34.80 |
% 226.82/34.80 | GROUND_INST: instantiating (148) with all_1226_0, all_1229_0,
% 226.82/34.80 | tc_RealDef_Oreal, simplifying with (321), (323) gives:
% 226.82/34.80 | (583) all_1229_0 = all_1226_0
% 226.82/34.80 |
% 226.82/34.80 | GROUND_INST: instantiating (148) with all_1229_0, all_1246_0,
% 226.82/34.80 | tc_RealDef_Oreal, simplifying with (323), (331) gives:
% 226.82/34.80 | (584) all_1246_0 = all_1229_0
% 226.82/34.80 |
% 226.82/34.80 | GROUND_INST: instantiating (148) with all_1246_0, all_1286_3,
% 226.82/34.80 | tc_RealDef_Oreal, simplifying with (331), (358) gives:
% 226.82/34.80 | (585) all_1286_3 = all_1246_0
% 226.82/34.80 |
% 226.82/34.80 | GROUND_INST: instantiating (148) with all_1286_3, all_1289_3,
% 226.82/34.80 | tc_RealDef_Oreal, simplifying with (358), (361) gives:
% 226.82/34.80 | (586) all_1289_3 = all_1286_3
% 226.82/34.80 |
% 226.82/34.80 | GROUND_INST: instantiating (148) with all_1289_3, all_1300_0,
% 226.82/34.80 | tc_RealDef_Oreal, simplifying with (361), (368) gives:
% 226.82/34.80 | (587) all_1300_0 = all_1289_3
% 226.82/34.80 |
% 226.82/34.80 | GROUND_INST: instantiating (148) with all_1300_0, all_1303_0,
% 226.82/34.80 | tc_RealDef_Oreal, simplifying with (368), (370) gives:
% 226.82/34.80 | (588) all_1303_0 = all_1300_0
% 226.82/34.80 |
% 226.82/34.80 | GROUND_INST: instantiating (148) with all_1303_0, all_1306_0,
% 226.82/34.80 | tc_RealDef_Oreal, simplifying with (370), (372) gives:
% 226.82/34.80 | (589) all_1306_0 = all_1303_0
% 226.82/34.80 |
% 226.82/34.80 | GROUND_INST: instantiating (148) with all_1306_0, all_1315_1,
% 226.82/34.80 | tc_RealDef_Oreal, simplifying with (372), (374) gives:
% 226.82/34.80 | (590) all_1315_1 = all_1306_0
% 226.82/34.80 |
% 226.82/34.80 | GROUND_INST: instantiating (148) with all_1315_1, all_1327_0,
% 226.82/34.80 | tc_RealDef_Oreal, simplifying with (374), (379) gives:
% 226.82/34.80 | (591) all_1327_0 = all_1315_1
% 226.82/34.80 |
% 226.82/34.80 | GROUND_INST: instantiating (148) with all_1327_0, all_1330_1,
% 226.82/34.80 | tc_RealDef_Oreal, simplifying with (379), (381) gives:
% 226.82/34.80 | (592) all_1330_1 = all_1327_0
% 226.82/34.80 |
% 226.82/34.80 | GROUND_INST: instantiating (148) with all_1330_1, all_1359_2,
% 226.82/34.80 | tc_RealDef_Oreal, simplifying with (381), (402) gives:
% 226.82/34.80 | (593) all_1359_2 = all_1330_1
% 226.82/34.80 |
% 226.82/34.80 | GROUND_INST: instantiating (148) with all_1359_2, all_1374_2,
% 226.82/34.80 | tc_RealDef_Oreal, simplifying with (402), (406) gives:
% 226.82/34.80 | (594) all_1374_2 = all_1359_2
% 226.82/34.80 |
% 226.82/34.80 | GROUND_INST: instantiating (148) with all_1374_2, all_1442_1,
% 226.82/34.80 | tc_RealDef_Oreal, simplifying with (406), (459) gives:
% 226.82/34.80 | (595) all_1442_1 = all_1374_2
% 226.82/34.80 |
% 226.82/34.80 | GROUND_INST: instantiating (148) with all_1442_1, all_1451_1,
% 226.82/34.80 | tc_RealDef_Oreal, simplifying with (459), (462) gives:
% 226.82/34.80 | (596) all_1451_1 = all_1442_1
% 226.82/34.80 |
% 226.82/34.80 | GROUND_INST: instantiating (148) with all_1451_1, all_1479_0,
% 226.82/34.80 | tc_RealDef_Oreal, simplifying with (462), (488) gives:
% 226.82/34.80 | (597) all_1479_0 = all_1451_1
% 226.82/34.80 |
% 226.82/34.80 | GROUND_INST: instantiating (148) with all_1479_0, all_1494_1,
% 226.82/34.80 | tc_RealDef_Oreal, simplifying with (488), (490) gives:
% 226.82/34.80 | (598) all_1494_1 = all_1479_0
% 226.82/34.80 |
% 226.82/34.80 | GROUND_INST: instantiating (148) with all_1494_1, all_1503_10,
% 226.82/34.80 | tc_RealDef_Oreal, simplifying with (490), (500) gives:
% 226.82/34.80 | (599) all_1503_10 = all_1494_1
% 226.82/34.80 |
% 226.82/34.80 | GROUND_INST: instantiating (148) with all_1503_10, all_1508_1,
% 226.82/34.80 | tc_RealDef_Oreal, simplifying with (500), (508) gives:
% 226.82/34.80 | (600) all_1508_1 = all_1503_10
% 226.82/34.80 |
% 226.82/34.80 | GROUND_INST: instantiating (148) with all_1508_1, all_1511_0,
% 226.82/34.80 | tc_RealDef_Oreal, simplifying with (508), (511) gives:
% 226.82/34.80 | (601) all_1511_0 = all_1508_1
% 226.82/34.80 |
% 226.82/34.80 | GROUND_INST: instantiating (148) with all_1511_0, all_1514_1,
% 226.82/34.80 | tc_RealDef_Oreal, simplifying with (511), (514) gives:
% 226.82/34.80 | (602) all_1514_1 = all_1511_0
% 226.82/34.80 |
% 226.82/34.81 | GROUND_INST: instantiating (148) with all_1155_1, all_1517_1,
% 226.82/34.81 | tc_RealDef_Oreal, simplifying with (288), (517) gives:
% 226.82/34.81 | (603) all_1517_1 = all_1155_1
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (148) with all_974_0, all_1517_1, tc_RealDef_Oreal,
% 226.82/34.81 | simplifying with (222), (517) gives:
% 226.82/34.81 | (604) all_1517_1 = all_974_0
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (148) with all_1514_1, all_1534_1,
% 226.82/34.81 | tc_RealDef_Oreal, simplifying with (514), (524) gives:
% 226.82/34.81 | (605) all_1534_1 = all_1514_1
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (148) with all_1534_1, all_1537_1,
% 226.82/34.81 | tc_RealDef_Oreal, simplifying with (524), (527) gives:
% 226.82/34.81 | (606) all_1537_1 = all_1534_1
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (148) with all_1137_1, all_1537_1,
% 226.82/34.81 | tc_RealDef_Oreal, simplifying with (282), (527) gives:
% 226.82/34.81 | (607) all_1537_1 = all_1137_1
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (148) with all_761_0, all_960_0,
% 226.82/34.81 | tc_Complex_Ocomplex, simplifying with (179), (214) gives:
% 226.82/34.81 | (608) all_960_0 = all_761_0
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (148) with all_960_0, all_970_1,
% 226.82/34.81 | tc_Complex_Ocomplex, simplifying with (214), (219) gives:
% 226.82/34.81 | (609) all_970_1 = all_960_0
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (148) with all_970_1, all_1032_0,
% 226.82/34.81 | tc_Complex_Ocomplex, simplifying with (219), (247) gives:
% 226.82/34.81 | (610) all_1032_0 = all_970_1
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (148) with all_1032_0, all_1035_2,
% 226.82/34.81 | tc_Complex_Ocomplex, simplifying with (247), (251) gives:
% 226.82/34.81 | (611) all_1035_2 = all_1032_0
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (148) with all_1035_2, all_1183_3,
% 226.82/34.81 | tc_Complex_Ocomplex, simplifying with (251), (301) gives:
% 226.82/34.81 | (612) all_1183_3 = all_1035_2
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (148) with all_1183_3, all_1194_0,
% 226.82/34.81 | tc_Complex_Ocomplex, simplifying with (301), (306) gives:
% 226.82/34.81 | (613) all_1194_0 = all_1183_3
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (148) with all_1194_0, all_1200_4,
% 226.82/34.81 | tc_Complex_Ocomplex, simplifying with (306), (309) gives:
% 226.82/34.81 | (614) all_1200_4 = all_1194_0
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (148) with all_1200_4, all_1281_3,
% 226.82/34.81 | tc_Complex_Ocomplex, simplifying with (309), (345) gives:
% 226.82/34.81 | (615) all_1281_3 = all_1200_4
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (148) with all_1281_3, all_1284_5,
% 226.82/34.81 | tc_Complex_Ocomplex, simplifying with (345), (351) gives:
% 226.82/34.81 | (616) all_1284_5 = all_1281_3
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (148) with all_1284_5, all_1292_1,
% 226.82/34.81 | tc_Complex_Ocomplex, simplifying with (351), (364) gives:
% 226.82/34.81 | (617) all_1292_1 = all_1284_5
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (148) with all_1292_1, all_1336_0,
% 226.82/34.81 | tc_Complex_Ocomplex, simplifying with (364), (389) gives:
% 226.82/34.81 | (618) all_1336_0 = all_1292_1
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (148) with all_1336_0, all_1395_5,
% 226.82/34.81 | tc_Complex_Ocomplex, simplifying with (389), (422) gives:
% 226.82/34.81 | (619) all_1395_5 = all_1336_0
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (148) with all_1395_5, all_1412_7,
% 226.82/34.81 | tc_Complex_Ocomplex, simplifying with (422), (434) gives:
% 226.82/34.81 | (620) all_1412_7 = all_1395_5
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (148) with all_1412_7, all_1414_8,
% 226.82/34.81 | tc_Complex_Ocomplex, simplifying with (434), (442) gives:
% 226.82/34.81 | (621) all_1414_8 = all_1412_7
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (148) with all_1414_8, all_1416_3,
% 226.82/34.81 | tc_Complex_Ocomplex, simplifying with (442), (449) gives:
% 226.82/34.81 | (622) all_1416_3 = all_1414_8
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (148) with all_761_0, all_1453_4,
% 226.82/34.81 | tc_Complex_Ocomplex, simplifying with (179), (466) gives:
% 226.82/34.81 | (623) all_1453_4 = all_761_0
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (148) with all_749_0, all_1453_4,
% 226.82/34.81 | tc_Complex_Ocomplex, simplifying with (167), (466) gives:
% 226.82/34.81 | (624) all_1453_4 = all_749_0
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (148) with all_1416_3, all_1459_0,
% 226.82/34.81 | tc_Complex_Ocomplex, simplifying with (449), (477) gives:
% 226.82/34.81 | (625) all_1459_0 = all_1416_3
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (148) with all_1459_0, all_1566_5,
% 226.82/34.81 | tc_Complex_Ocomplex, simplifying with (477), (533) gives:
% 226.82/34.81 | (626) all_1566_5 = all_1459_0
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (148) with all_1566_5, all_1571_9,
% 226.82/34.81 | tc_Complex_Ocomplex, simplifying with (533), (541) gives:
% 226.82/34.81 | (627) all_1571_9 = all_1566_5
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (148) with all_1571_9, all_1597_6,
% 226.82/34.81 | tc_Complex_Ocomplex, simplifying with (541), (550) gives:
% 226.82/34.81 | (628) all_1597_6 = all_1571_9
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (148) with all_1597_6, all_1606_18,
% 226.82/34.81 | tc_Complex_Ocomplex, simplifying with (550), (559) gives:
% 226.82/34.81 | (629) all_1606_18 = all_1597_6
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (148) with all_755_0, all_1606_18,
% 226.82/34.81 | tc_Complex_Ocomplex, simplifying with (175), (559) gives:
% 226.82/34.81 | (630) all_1606_18 = all_755_0
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (153) with all_819_0, all_1286_2, v_w____,
% 226.82/34.81 | tc_Complex_Ocomplex, simplifying with (184), (359) gives:
% 226.82/34.81 | (631) all_1286_2 = all_819_0
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (153) with all_1289_2, all_1503_7, v_w____,
% 226.82/34.81 | tc_Complex_Ocomplex, simplifying with (362), (501) gives:
% 226.82/34.81 | (632) all_1503_7 = all_1289_2
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (153) with all_1286_2, all_1503_7, v_w____,
% 226.82/34.81 | tc_Complex_Ocomplex, simplifying with (359), (501) gives:
% 226.82/34.81 | (633) all_1503_7 = all_1286_2
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (153) with all_1149_1, all_1503_7, v_w____,
% 226.82/34.81 | tc_Complex_Ocomplex, simplifying with (286), (501) gives:
% 226.82/34.81 | (634) all_1503_7 = all_1149_1
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (149) with all_982_0, all_1020_1, tc_RealDef_Oreal,
% 226.82/34.81 | simplifying with (225), (240) gives:
% 226.82/34.81 | (635) all_1020_1 = all_982_0
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (149) with all_1020_1, all_1111_0,
% 226.82/34.81 | tc_RealDef_Oreal, simplifying with (240), (272) gives:
% 226.82/34.81 | (636) all_1111_0 = all_1020_1
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (149) with all_1111_0, all_1374_1,
% 226.82/34.81 | tc_RealDef_Oreal, simplifying with (272), (407) gives:
% 226.82/34.81 | (637) all_1374_1 = all_1111_0
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (149) with all_955_0, all_1531_0, tc_RealDef_Oreal,
% 226.82/34.81 | simplifying with (211), (522) gives:
% 226.82/34.81 | (638) all_1531_0 = all_955_0
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (149) with all_1374_1, all_1543_1,
% 226.82/34.81 | tc_RealDef_Oreal, simplifying with (407), (530) gives:
% 226.82/34.81 | (639) all_1543_1 = all_1374_1
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (149) with all_1315_0, all_1543_1,
% 226.82/34.81 | tc_RealDef_Oreal, simplifying with (375), (530) gives:
% 226.82/34.81 | (640) all_1543_1 = all_1315_0
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (149) with all_1531_0, all_1566_0,
% 226.82/34.81 | tc_RealDef_Oreal, simplifying with (522), (534) gives:
% 226.82/34.81 | (641) all_1566_0 = all_1531_0
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (149) with all_1374_1, all_1566_0,
% 226.82/34.81 | tc_RealDef_Oreal, simplifying with (407), (534) gives:
% 226.82/34.81 | (642) all_1566_0 = all_1374_1
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (149) with all_1359_1, all_1566_0,
% 226.82/34.81 | tc_RealDef_Oreal, simplifying with (403), (534) gives:
% 226.82/34.81 | (643) all_1566_0 = all_1359_1
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (149) with all_982_0, all_1597_1, tc_RealDef_Oreal,
% 226.82/34.81 | simplifying with (225), (551) gives:
% 226.82/34.81 | (644) all_1597_1 = all_982_0
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (149) with all_857_0, all_1597_1, tc_RealDef_Oreal,
% 226.82/34.81 | simplifying with (189), (551) gives:
% 226.82/34.81 | (645) all_1597_1 = all_857_0
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (149) with all_1161_3, all_1276_0,
% 226.82/34.81 | tc_Complex_Ocomplex, simplifying with (291), (339) gives:
% 226.82/34.81 | (646) all_1276_0 = all_1161_3
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (149) with all_1276_0, all_1284_0,
% 226.82/34.81 | tc_Complex_Ocomplex, simplifying with (339), (352) gives:
% 226.82/34.81 | (647) all_1284_0 = all_1276_0
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (149) with all_1284_0, all_1292_7,
% 226.82/34.81 | tc_Complex_Ocomplex, simplifying with (352), (365) gives:
% 226.82/34.81 | (648) all_1292_7 = all_1284_0
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (149) with all_1292_7, all_1336_7,
% 226.82/34.81 | tc_Complex_Ocomplex, simplifying with (365), (390) gives:
% 226.82/34.81 | (649) all_1336_7 = all_1292_7
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (149) with all_1276_0, all_1395_8,
% 226.82/34.81 | tc_Complex_Ocomplex, simplifying with (339), (423) gives:
% 226.82/34.81 | (650) all_1395_8 = all_1276_0
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (149) with all_1336_7, all_1459_9,
% 226.82/34.81 | tc_Complex_Ocomplex, simplifying with (390), (478) gives:
% 226.82/34.81 | (651) all_1459_9 = all_1336_7
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (149) with all_1238_5, all_1459_9,
% 226.82/34.81 | tc_Complex_Ocomplex, simplifying with (328), (478) gives:
% 226.82/34.81 | (652) all_1459_9 = all_1238_5
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (149) with all_1395_8, all_1543_0,
% 226.82/34.81 | tc_Complex_Ocomplex, simplifying with (423), (531) gives:
% 226.82/34.81 | (653) all_1543_0 = all_1395_8
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (149) with all_745_0, all_1543_0,
% 226.82/34.81 | tc_Complex_Ocomplex, simplifying with (162), (531) gives:
% 226.82/34.81 | (654) all_1543_0 = all_745_0
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (149) with all_1276_0, all_1566_3,
% 226.82/34.81 | tc_Complex_Ocomplex, simplifying with (339), (535) gives:
% 226.82/34.81 | (655) all_1566_3 = all_1276_0
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (149) with all_1018_0, all_1566_3,
% 226.82/34.81 | tc_Complex_Ocomplex, simplifying with (236), (535) gives:
% 226.82/34.81 | (656) all_1566_3 = all_1018_0
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (149) with all_876_0, all_913_0, tc_Nat_Onat,
% 226.82/34.81 | simplifying with (191), (197) gives:
% 226.82/34.81 | (657) all_913_0 = all_876_0
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (149) with all_913_0, all_1026_1, tc_Nat_Onat,
% 226.82/34.81 | simplifying with (197), (243) gives:
% 226.82/34.81 | (658) all_1026_1 = all_913_0
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (149) with all_1000_0, all_1120_1, tc_Nat_Onat,
% 226.82/34.81 | simplifying with (229), (277) gives:
% 226.82/34.81 | (659) all_1120_1 = all_1000_0
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (149) with all_854_0, all_1120_1, tc_Nat_Onat,
% 226.82/34.81 | simplifying with (186), (277) gives:
% 226.82/34.81 | (660) all_1120_1 = all_854_0
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (149) with all_1026_1, all_1171_0, tc_Nat_Onat,
% 226.82/34.81 | simplifying with (243), (298) gives:
% 226.82/34.81 | (661) all_1171_0 = all_1026_1
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (149) with all_1060_0, all_1292_6, tc_Nat_Onat,
% 226.82/34.81 | simplifying with (257), (366) gives:
% 226.82/34.81 | (662) all_1292_6 = all_1060_0
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (149) with all_1171_0, all_1338_0, tc_Nat_Onat,
% 226.82/34.81 | simplifying with (298), (394) gives:
% 226.82/34.81 | (663) all_1338_0 = all_1171_0
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (149) with all_928_1, all_1338_0, tc_Nat_Onat,
% 226.82/34.81 | simplifying with (199), (394) gives:
% 226.82/34.81 | (664) all_1338_0 = all_928_1
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (149) with all_1171_0, all_1341_1, tc_Nat_Onat,
% 226.82/34.81 | simplifying with (298), (396) gives:
% 226.82/34.81 | (665) all_1341_1 = all_1171_0
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (149) with all_947_2, all_1341_1, tc_Nat_Onat,
% 226.82/34.81 | simplifying with (207), (396) gives:
% 226.82/34.81 | (666) all_1341_1 = all_947_2
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (149) with all_1171_0, all_1356_0, tc_Nat_Onat,
% 226.82/34.81 | simplifying with (298), (400) gives:
% 226.82/34.81 | (667) all_1356_0 = all_1171_0
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (149) with all_1161_5, all_1356_0, tc_Nat_Onat,
% 226.82/34.81 | simplifying with (292), (400) gives:
% 226.82/34.81 | (668) all_1356_0 = all_1161_5
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (149) with all_1383_0, all_1416_6, tc_Nat_Onat,
% 226.82/34.81 | simplifying with (412), (450) gives:
% 226.82/34.81 | (669) all_1416_6 = all_1383_0
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (149) with all_1292_6, all_1461_0, tc_Nat_Onat,
% 226.82/34.81 | simplifying with (366), (482) gives:
% 226.82/34.81 | (670) all_1461_0 = all_1292_6
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (149) with all_1238_4, all_1461_0, tc_Nat_Onat,
% 226.82/34.81 | simplifying with (329), (482) gives:
% 226.82/34.81 | (671) all_1461_0 = all_1238_4
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (149) with all_1120_1, all_1461_0, tc_Nat_Onat,
% 226.82/34.81 | simplifying with (277), (482) gives:
% 226.82/34.81 | (672) all_1461_0 = all_1120_1
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (149) with all_1416_6, all_1476_1, tc_Nat_Onat,
% 226.82/34.81 | simplifying with (450), (486) gives:
% 226.82/34.81 | (673) all_1476_1 = all_1416_6
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (149) with all_1386_0, all_1476_1, tc_Nat_Onat,
% 226.82/34.81 | simplifying with (414), (486) gives:
% 226.82/34.81 | (674) all_1476_1 = all_1386_0
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (149) with all_1356_0, all_1476_1, tc_Nat_Onat,
% 226.82/34.81 | simplifying with (400), (486) gives:
% 226.82/34.81 | (675) all_1476_1 = all_1356_0
% 226.82/34.81 |
% 226.82/34.81 | GROUND_INST: instantiating (149) with all_882_0, all_1476_1, tc_Nat_Onat,
% 226.82/34.81 | simplifying with (195), (486) gives:
% 226.82/34.82 | (676) all_1476_1 = all_882_0
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (149) with all_1341_1, all_1503_5, tc_Nat_Onat,
% 226.82/34.82 | simplifying with (396), (502) gives:
% 226.82/34.82 | (677) all_1503_5 = all_1341_1
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (149) with all_1000_0, all_1503_5, tc_Nat_Onat,
% 226.82/34.82 | simplifying with (229), (502) gives:
% 226.82/34.82 | (678) all_1503_5 = all_1000_0
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (149) with all_994_0, all_1503_5, tc_Nat_Onat,
% 226.82/34.82 | simplifying with (227), (502) gives:
% 226.82/34.82 | (679) all_1503_5 = all_994_0
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (149) with all_1026_1, all_1520_0, tc_Nat_Onat,
% 226.82/34.82 | simplifying with (243), (520) gives:
% 226.82/34.82 | (680) all_1520_0 = all_1026_1
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (149) with all_879_0, all_1520_0, tc_Nat_Onat,
% 226.82/34.82 | simplifying with (193), (520) gives:
% 226.82/34.82 | (681) all_1520_0 = all_879_0
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (149) with all_1026_1, all_1606_16, tc_Nat_Onat,
% 226.82/34.82 | simplifying with (243), (560) gives:
% 226.82/34.82 | (682) all_1606_16 = all_1026_1
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (149) with all_814_1, all_1606_16, tc_Nat_Onat,
% 226.82/34.82 | simplifying with (181), (560) gives:
% 226.82/34.82 | (683) all_1606_16 = all_814_1
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (150) with all_1380_0, all_1503_8,
% 226.82/34.82 | tc_RealDef_Oreal, simplifying with (410), (503) gives:
% 226.82/34.82 | (684) all_1503_8 = all_1380_0
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (150) with all_1347_0, all_1503_8,
% 226.82/34.82 | tc_RealDef_Oreal, simplifying with (398), (503) gives:
% 226.82/34.82 | (685) all_1503_8 = all_1347_0
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (150) with all_1459_7, all_1566_1,
% 226.82/34.82 | tc_Complex_Ocomplex, simplifying with (479), (536) gives:
% 226.82/34.82 | (686) all_1566_1 = all_1459_7
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (150) with all_1566_1, all_1571_2,
% 226.82/34.82 | tc_Complex_Ocomplex, simplifying with (536), (542) gives:
% 226.82/34.82 | (687) all_1571_2 = all_1566_1
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (150) with all_1276_5, all_1571_2,
% 226.82/34.82 | tc_Complex_Ocomplex, simplifying with (340), (542) gives:
% 226.82/34.82 | (688) all_1571_2 = all_1276_5
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (150) with all_1459_7, all_1606_7,
% 226.82/34.82 | tc_Complex_Ocomplex, simplifying with (479), (561) gives:
% 226.82/34.82 | (689) all_1606_7 = all_1459_7
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (150) with all_1395_6, all_1606_7,
% 226.82/34.82 | tc_Complex_Ocomplex, simplifying with (424), (561) gives:
% 226.82/34.82 | (690) all_1606_7 = all_1395_6
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (150) with all_1336_5, all_1606_7,
% 226.82/34.82 | tc_Complex_Ocomplex, simplifying with (391), (561) gives:
% 226.82/34.82 | (691) all_1606_7 = all_1336_5
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (151) with all_1083_0, all_1105_0,
% 226.82/34.82 | tc_RealDef_Oreal, simplifying with (262), (267) gives:
% 226.82/34.82 | (692) all_1105_0 = all_1083_0
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (151) with all_1105_0, all_1111_1,
% 226.82/34.82 | tc_RealDef_Oreal, simplifying with (267), (273) gives:
% 226.82/34.82 | (693) all_1111_1 = all_1105_0
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (151) with all_1111_1, all_1137_0,
% 226.82/34.82 | tc_RealDef_Oreal, simplifying with (273), (283) gives:
% 226.82/34.82 | (694) all_1137_0 = all_1111_1
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (151) with all_1083_0, all_1155_0,
% 226.82/34.82 | tc_RealDef_Oreal, simplifying with (262), (289) gives:
% 226.82/34.82 | (695) all_1155_0 = all_1083_0
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (151) with all_1270_0, all_1330_0,
% 226.82/34.82 | tc_RealDef_Oreal, simplifying with (333), (382) gives:
% 226.82/34.82 | (696) all_1330_0 = all_1270_0
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (151) with all_1155_0, all_1330_0,
% 226.82/34.82 | tc_RealDef_Oreal, simplifying with (289), (382) gives:
% 226.82/34.82 | (697) all_1330_0 = all_1155_0
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (151) with all_1330_0, all_1400_0,
% 226.82/34.82 | tc_RealDef_Oreal, simplifying with (382), (427) gives:
% 226.82/34.82 | (698) all_1400_0 = all_1330_0
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (151) with all_1155_0, all_1418_0,
% 226.82/34.82 | tc_RealDef_Oreal, simplifying with (289), (455) gives:
% 226.82/34.82 | (699) all_1418_0 = all_1155_0
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (151) with all_1020_2, all_1418_0,
% 226.82/34.82 | tc_RealDef_Oreal, simplifying with (241), (455) gives:
% 226.82/34.82 | (700) all_1418_0 = all_1020_2
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (151) with all_1400_0, all_1451_0,
% 226.82/34.82 | tc_RealDef_Oreal, simplifying with (427), (463) gives:
% 226.82/34.82 | (701) all_1451_0 = all_1400_0
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (151) with all_1442_0, all_1464_0,
% 226.82/34.82 | tc_RealDef_Oreal, simplifying with (460), (484) gives:
% 226.82/34.82 | (702) all_1464_0 = all_1442_0
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (151) with all_1400_0, all_1464_0,
% 226.82/34.82 | tc_RealDef_Oreal, simplifying with (427), (484) gives:
% 226.82/34.82 | (703) all_1464_0 = all_1400_0
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (151) with all_1451_0, all_1494_0,
% 226.82/34.82 | tc_RealDef_Oreal, simplifying with (463), (491) gives:
% 226.82/34.82 | (704) all_1494_0 = all_1451_0
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (151) with all_1129_0, all_1494_0,
% 226.82/34.82 | tc_RealDef_Oreal, simplifying with (280), (491) gives:
% 226.82/34.82 | (705) all_1494_0 = all_1129_0
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (151) with all_1137_0, all_1503_9,
% 226.82/34.82 | tc_RealDef_Oreal, simplifying with (283), (504) gives:
% 226.82/34.82 | (706) all_1503_9 = all_1137_0
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (151) with all_1503_9, all_1511_1,
% 226.82/34.82 | tc_RealDef_Oreal, simplifying with (504), (512) gives:
% 226.82/34.82 | (707) all_1511_1 = all_1503_9
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (151) with all_1511_1, all_1514_0,
% 226.82/34.82 | tc_RealDef_Oreal, simplifying with (512), (515) gives:
% 226.82/34.82 | (708) all_1514_0 = all_1511_1
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (151) with all_1514_0, all_1517_0,
% 226.82/34.82 | tc_RealDef_Oreal, simplifying with (515), (518) gives:
% 226.82/34.82 | (709) all_1517_0 = all_1514_0
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (151) with all_1068_0, all_1517_0,
% 226.82/34.82 | tc_RealDef_Oreal, simplifying with (259), (518) gives:
% 226.82/34.82 | (710) all_1517_0 = all_1068_0
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (151) with all_1464_0, all_1534_0,
% 226.82/34.82 | tc_RealDef_Oreal, simplifying with (484), (525) gives:
% 226.82/34.82 | (711) all_1534_0 = all_1464_0
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (151) with all_1318_0, all_1534_0,
% 226.82/34.82 | tc_RealDef_Oreal, simplifying with (377), (525) gives:
% 226.82/34.82 | (712) all_1534_0 = all_1318_0
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (151) with all_1508_0, all_1537_0,
% 226.82/34.82 | tc_RealDef_Oreal, simplifying with (509), (528) gives:
% 226.82/34.82 | (713) all_1537_0 = all_1508_0
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (151) with all_1503_9, all_1537_0,
% 226.82/34.82 | tc_RealDef_Oreal, simplifying with (504), (528) gives:
% 226.82/34.82 | (714) all_1537_0 = all_1503_9
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (151) with all_1165_0, all_1537_0,
% 226.82/34.82 | tc_RealDef_Oreal, simplifying with (296), (528) gives:
% 226.82/34.82 | (715) all_1537_0 = all_1165_0
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (151) with all_1018_3, all_1276_6,
% 226.82/34.82 | tc_Complex_Ocomplex, simplifying with (237), (341) gives:
% 226.82/34.82 | (716) all_1276_6 = all_1018_3
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (151) with all_1276_6, all_1336_6,
% 226.82/34.82 | tc_Complex_Ocomplex, simplifying with (341), (392) gives:
% 226.82/34.82 | (717) all_1336_6 = all_1276_6
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (151) with all_1336_6, all_1395_7,
% 226.82/34.82 | tc_Complex_Ocomplex, simplifying with (392), (425) gives:
% 226.82/34.82 | (718) all_1395_7 = all_1336_6
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (151) with all_1395_7, all_1412_5,
% 226.82/34.82 | tc_Complex_Ocomplex, simplifying with (425), (435) gives:
% 226.82/34.82 | (719) all_1412_5 = all_1395_7
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (151) with all_1412_5, all_1453_5,
% 226.82/34.82 | tc_Complex_Ocomplex, simplifying with (435), (467) gives:
% 226.82/34.82 | (720) all_1453_5 = all_1412_5
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (151) with all_1453_5, all_1459_8,
% 226.82/34.82 | tc_Complex_Ocomplex, simplifying with (467), (480) gives:
% 226.82/34.82 | (721) all_1459_8 = all_1453_5
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (151) with all_1571_3, all_1606_8,
% 226.82/34.82 | tc_Complex_Ocomplex, simplifying with (543), (562) gives:
% 226.82/34.82 | (722) all_1606_8 = all_1571_3
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (151) with all_1566_2, all_1606_8,
% 226.82/34.82 | tc_Complex_Ocomplex, simplifying with (537), (562) gives:
% 226.82/34.82 | (723) all_1606_8 = all_1566_2
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (151) with all_1459_8, all_1606_8,
% 226.82/34.82 | tc_Complex_Ocomplex, simplifying with (480), (562) gives:
% 226.82/34.82 | (724) all_1606_8 = all_1459_8
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (151) with all_1006_1, all_1606_8,
% 226.82/34.82 | tc_Complex_Ocomplex, simplifying with (232), (562) gives:
% 226.82/34.82 | (725) all_1606_8 = all_1006_1
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (155) with all_757_0, all_1032_3, v_pa____,
% 226.82/34.82 | tc_Complex_Ocomplex, simplifying with (177), (248) gives:
% 226.82/34.82 | (726) all_1032_3 = all_757_0
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (155) with all_1032_3, all_1035_4, v_pa____,
% 226.82/34.82 | tc_Complex_Ocomplex, simplifying with (248), (252) gives:
% 226.82/34.82 | (727) all_1035_4 = all_1032_3
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (155) with all_1035_4, all_1102_2, v_pa____,
% 226.82/34.82 | tc_Complex_Ocomplex, simplifying with (252), (265) gives:
% 226.82/34.82 | (728) all_1102_2 = all_1035_4
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (155) with all_960_2, all_1102_2, v_pa____,
% 226.82/34.82 | tc_Complex_Ocomplex, simplifying with (215), (265) gives:
% 226.82/34.82 | (729) all_1102_2 = all_960_2
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (155) with all_1102_2, all_1232_2, v_pa____,
% 226.82/34.82 | tc_Complex_Ocomplex, simplifying with (265), (326) gives:
% 226.82/34.82 | (730) all_1232_2 = all_1102_2
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (155) with all_1046_0, all_1232_2, v_pa____,
% 226.82/34.82 | tc_Complex_Ocomplex, simplifying with (254), (326) gives:
% 226.82/34.82 | (731) all_1232_2 = all_1046_0
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (155) with all_1232_2, all_1281_0, v_pa____,
% 226.82/34.82 | tc_Complex_Ocomplex, simplifying with (326), (346) gives:
% 226.82/34.82 | (732) all_1281_0 = all_1232_2
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (155) with all_1223_2, all_1281_0, v_pa____,
% 226.82/34.82 | tc_Complex_Ocomplex, simplifying with (319), (346) gives:
% 226.82/34.82 | (733) all_1281_0 = all_1223_2
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (155) with all_970_2, all_1032_1, v_q____,
% 226.82/34.82 | tc_Complex_Ocomplex, simplifying with (220), (249) gives:
% 226.82/34.82 | (734) all_1032_1 = all_970_2
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (155) with all_1032_1, all_1046_1, v_q____,
% 226.82/34.82 | tc_Complex_Ocomplex, simplifying with (249), (255) gives:
% 226.82/34.82 | (735) all_1046_1 = all_1032_1
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (155) with all_1200_5, all_1281_4, v_q____,
% 226.82/34.82 | tc_Complex_Ocomplex, simplifying with (311), (347) gives:
% 226.82/34.82 | (736) all_1281_4 = all_1200_5
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (155) with all_1200_5, all_1284_6, v_q____,
% 226.82/34.82 | tc_Complex_Ocomplex, simplifying with (311), (354) gives:
% 226.82/34.82 | (737) all_1284_6 = all_1200_5
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (155) with all_1183_4, all_1284_6, v_q____,
% 226.82/34.82 | tc_Complex_Ocomplex, simplifying with (303), (354) gives:
% 226.82/34.82 | (738) all_1284_6 = all_1183_4
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (155) with all_1046_1, all_1284_6, v_q____,
% 226.82/34.82 | tc_Complex_Ocomplex, simplifying with (255), (354) gives:
% 226.82/34.82 | (739) all_1284_6 = all_1046_1
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (155) with all_1281_4, all_1412_8, v_q____,
% 226.82/34.82 | tc_Complex_Ocomplex, simplifying with (347), (437) gives:
% 226.82/34.82 | (740) all_1412_8 = all_1281_4
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (155) with all_1412_8, all_1414_9, v_q____,
% 226.82/34.82 | tc_Complex_Ocomplex, simplifying with (437), (444) gives:
% 226.82/34.82 | (741) all_1414_9 = all_1412_8
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (155) with all_1414_9, all_1416_4, v_q____,
% 226.82/34.82 | tc_Complex_Ocomplex, simplifying with (444), (452) gives:
% 226.82/34.82 | (742) all_1416_4 = all_1414_9
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (155) with all_1416_4, all_1453_6, v_q____,
% 226.82/34.82 | tc_Complex_Ocomplex, simplifying with (452), (469) gives:
% 226.82/34.82 | (743) all_1453_6 = all_1416_4
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (155) with all_1453_6, all_1571_10, v_q____,
% 226.82/34.82 | tc_Complex_Ocomplex, simplifying with (469), (545) gives:
% 226.82/34.82 | (744) all_1571_10 = all_1453_6
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (155) with all_1571_10, all_1597_7, v_q____,
% 226.82/34.82 | tc_Complex_Ocomplex, simplifying with (545), (553) gives:
% 226.82/34.82 | (745) all_1597_7 = all_1571_10
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (155) with all_1597_7, all_1606_15, v_q____,
% 226.82/34.82 | tc_Complex_Ocomplex, simplifying with (553), (564) gives:
% 226.82/34.82 | (746) all_1606_15 = all_1597_7
% 226.82/34.82 |
% 226.82/34.82 | GROUND_INST: instantiating (155) with all_751_0, all_1606_15, v_q____,
% 226.82/34.82 | tc_Complex_Ocomplex, simplifying with (169), (564) gives:
% 226.82/34.82 | (747) all_1606_15 = all_751_0
% 226.82/34.82 |
% 226.82/34.82 | COMBINE_EQS: (689), (690) imply:
% 226.82/34.82 | (748) all_1459_7 = all_1395_6
% 226.82/34.82 |
% 226.82/34.82 | SIMP: (748) implies:
% 226.82/34.82 | (749) all_1459_7 = all_1395_6
% 226.82/34.82 |
% 226.82/34.82 | COMBINE_EQS: (690), (691) imply:
% 226.82/34.82 | (750) all_1395_6 = all_1336_5
% 226.82/34.82 |
% 226.82/34.82 | COMBINE_EQS: (722), (725) imply:
% 226.82/34.82 | (751) all_1571_3 = all_1006_1
% 226.82/34.82 |
% 226.82/34.82 | COMBINE_EQS: (722), (724) imply:
% 226.82/34.82 | (752) all_1571_3 = all_1459_8
% 226.82/34.82 |
% 226.82/34.82 | COMBINE_EQS: (722), (723) imply:
% 226.82/34.82 | (753) all_1571_3 = all_1566_2
% 226.82/34.82 |
% 226.82/34.82 | COMBINE_EQS: (746), (747) imply:
% 226.82/34.82 | (754) all_1597_7 = all_751_0
% 226.82/34.82 |
% 226.82/34.82 | SIMP: (754) implies:
% 226.82/34.82 | (755) all_1597_7 = all_751_0
% 226.82/34.82 |
% 226.82/34.82 | COMBINE_EQS: (682), (683) imply:
% 226.82/34.82 | (756) all_1026_1 = all_814_1
% 226.82/34.82 |
% 226.82/34.82 | SIMP: (756) implies:
% 226.82/34.82 | (757) all_1026_1 = all_814_1
% 226.82/34.82 |
% 226.82/34.82 | COMBINE_EQS: (629), (630) imply:
% 226.82/34.82 | (758) all_1597_6 = all_755_0
% 226.82/34.82 |
% 226.82/34.82 | SIMP: (758) implies:
% 226.82/34.82 | (759) all_1597_6 = all_755_0
% 226.82/34.82 |
% 226.82/34.82 | COMBINE_EQS: (644), (645) imply:
% 226.82/34.82 | (760) all_982_0 = all_857_0
% 226.82/34.82 |
% 226.82/34.82 | SIMP: (760) implies:
% 226.82/34.82 | (761) all_982_0 = all_857_0
% 226.82/34.82 |
% 226.82/34.82 | COMBINE_EQS: (628), (759) imply:
% 226.82/34.82 | (762) all_1571_9 = all_755_0
% 226.82/34.82 |
% 226.82/34.82 | SIMP: (762) implies:
% 226.82/34.82 | (763) all_1571_9 = all_755_0
% 226.82/34.82 |
% 226.82/34.82 | COMBINE_EQS: (745), (755) imply:
% 226.82/34.82 | (764) all_1571_10 = all_751_0
% 226.82/34.82 |
% 226.82/34.82 | SIMP: (764) implies:
% 226.82/34.82 | (765) all_1571_10 = all_751_0
% 226.82/34.82 |
% 226.82/34.82 | COMBINE_EQS: (687), (688) imply:
% 226.82/34.82 | (766) all_1566_1 = all_1276_5
% 226.82/34.82 |
% 226.82/34.82 | SIMP: (766) implies:
% 226.82/34.82 | (767) all_1566_1 = all_1276_5
% 226.82/34.82 |
% 226.82/34.82 | COMBINE_EQS: (752), (753) imply:
% 226.82/34.82 | (768) all_1566_2 = all_1459_8
% 226.82/34.82 |
% 226.82/34.82 | COMBINE_EQS: (751), (753) imply:
% 226.82/34.82 | (769) all_1566_2 = all_1006_1
% 226.82/34.82 |
% 226.82/34.82 | COMBINE_EQS: (627), (763) imply:
% 226.82/34.82 | (770) all_1566_5 = all_755_0
% 226.82/34.82 |
% 226.82/34.82 | SIMP: (770) implies:
% 226.82/34.82 | (771) all_1566_5 = all_755_0
% 226.82/34.82 |
% 226.82/34.83 | COMBINE_EQS: (744), (765) imply:
% 226.82/34.83 | (772) all_1453_6 = all_751_0
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (772) implies:
% 226.82/34.83 | (773) all_1453_6 = all_751_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (642), (643) imply:
% 226.82/34.83 | (774) all_1374_1 = all_1359_1
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (774) implies:
% 226.82/34.83 | (775) all_1374_1 = all_1359_1
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (641), (643) imply:
% 226.82/34.83 | (776) all_1531_0 = all_1359_1
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (776) implies:
% 226.82/34.83 | (777) all_1531_0 = all_1359_1
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (686), (767) imply:
% 226.82/34.83 | (778) all_1459_7 = all_1276_5
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (778) implies:
% 226.82/34.83 | (779) all_1459_7 = all_1276_5
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (768), (769) imply:
% 226.82/34.83 | (780) all_1459_8 = all_1006_1
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (780) implies:
% 226.82/34.83 | (781) all_1459_8 = all_1006_1
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (655), (656) imply:
% 226.82/34.83 | (782) all_1276_0 = all_1018_0
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (782) implies:
% 226.82/34.83 | (783) all_1276_0 = all_1018_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (626), (771) imply:
% 226.82/34.83 | (784) all_1459_0 = all_755_0
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (784) implies:
% 226.82/34.83 | (785) all_1459_0 = all_755_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (653), (654) imply:
% 226.82/34.83 | (786) all_1395_8 = all_745_0
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (786) implies:
% 226.82/34.83 | (787) all_1395_8 = all_745_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (639), (640) imply:
% 226.82/34.83 | (788) all_1374_1 = all_1315_0
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (788) implies:
% 226.82/34.83 | (789) all_1374_1 = all_1315_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (713), (714) imply:
% 226.82/34.83 | (790) all_1508_0 = all_1503_9
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (713), (715) imply:
% 226.82/34.83 | (791) all_1508_0 = all_1165_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (606), (607) imply:
% 226.82/34.83 | (792) all_1534_1 = all_1137_1
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (792) implies:
% 226.82/34.83 | (793) all_1534_1 = all_1137_1
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (711), (712) imply:
% 226.82/34.83 | (794) all_1464_0 = all_1318_0
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (794) implies:
% 226.82/34.83 | (795) all_1464_0 = all_1318_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (605), (793) imply:
% 226.82/34.83 | (796) all_1514_1 = all_1137_1
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (796) implies:
% 226.82/34.83 | (797) all_1514_1 = all_1137_1
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (638), (777) imply:
% 226.82/34.83 | (798) all_1359_1 = all_955_0
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (798) implies:
% 226.82/34.83 | (799) all_1359_1 = all_955_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (680), (681) imply:
% 226.82/34.83 | (800) all_1026_1 = all_879_0
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (800) implies:
% 226.82/34.83 | (801) all_1026_1 = all_879_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (709), (710) imply:
% 226.82/34.83 | (802) all_1514_0 = all_1068_0
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (802) implies:
% 226.82/34.83 | (803) all_1514_0 = all_1068_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (603), (604) imply:
% 226.82/34.83 | (804) all_1155_1 = all_974_0
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (804) implies:
% 226.82/34.83 | (805) all_1155_1 = all_974_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (708), (803) imply:
% 226.82/34.83 | (806) all_1511_1 = all_1068_0
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (806) implies:
% 226.82/34.83 | (807) all_1511_1 = all_1068_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (602), (797) imply:
% 226.82/34.83 | (808) all_1511_0 = all_1137_1
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (808) implies:
% 226.82/34.83 | (809) all_1511_0 = all_1137_1
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (601), (809) imply:
% 226.82/34.83 | (810) all_1508_1 = all_1137_1
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (810) implies:
% 226.82/34.83 | (811) all_1508_1 = all_1137_1
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (707), (807) imply:
% 226.82/34.83 | (812) all_1503_9 = all_1068_0
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (812) implies:
% 226.82/34.83 | (813) all_1503_9 = all_1068_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (790), (791) imply:
% 226.82/34.83 | (814) all_1503_9 = all_1165_0
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (814) implies:
% 226.82/34.83 | (815) all_1503_9 = all_1165_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (600), (811) imply:
% 226.82/34.83 | (816) all_1503_10 = all_1137_1
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (816) implies:
% 226.82/34.83 | (817) all_1503_10 = all_1137_1
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (678), (679) imply:
% 226.82/34.83 | (818) all_1000_0 = all_994_0
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (818) implies:
% 226.82/34.83 | (819) all_1000_0 = all_994_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (677), (679) imply:
% 226.82/34.83 | (820) all_1341_1 = all_994_0
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (820) implies:
% 226.82/34.83 | (821) all_1341_1 = all_994_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (632), (634) imply:
% 226.82/34.83 | (822) all_1289_2 = all_1149_1
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (632), (633) imply:
% 226.82/34.83 | (823) all_1289_2 = all_1286_2
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (684), (685) imply:
% 226.82/34.83 | (824) all_1380_0 = all_1347_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (813), (815) imply:
% 226.82/34.83 | (825) all_1165_0 = all_1068_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (706), (815) imply:
% 226.82/34.83 | (826) all_1165_0 = all_1137_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (599), (817) imply:
% 226.82/34.83 | (827) all_1494_1 = all_1137_1
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (827) implies:
% 226.82/34.83 | (828) all_1494_1 = all_1137_1
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (704), (705) imply:
% 226.82/34.83 | (829) all_1451_0 = all_1129_0
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (829) implies:
% 226.82/34.83 | (830) all_1451_0 = all_1129_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (598), (828) imply:
% 226.82/34.83 | (831) all_1479_0 = all_1137_1
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (831) implies:
% 226.82/34.83 | (832) all_1479_0 = all_1137_1
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (597), (832) imply:
% 226.82/34.83 | (833) all_1451_1 = all_1137_1
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (833) implies:
% 226.82/34.83 | (834) all_1451_1 = all_1137_1
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (673), (674) imply:
% 226.82/34.83 | (835) all_1416_6 = all_1386_0
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (835) implies:
% 226.82/34.83 | (836) all_1416_6 = all_1386_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (674), (676) imply:
% 226.82/34.83 | (837) all_1386_0 = all_882_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (674), (675) imply:
% 226.82/34.83 | (838) all_1386_0 = all_1356_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (702), (703) imply:
% 226.82/34.83 | (839) all_1442_0 = all_1400_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (702), (795) imply:
% 226.82/34.83 | (840) all_1442_0 = all_1318_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (670), (671) imply:
% 226.82/34.83 | (841) all_1292_6 = all_1238_4
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (841) implies:
% 226.82/34.83 | (842) all_1292_6 = all_1238_4
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (671), (672) imply:
% 226.82/34.83 | (843) all_1238_4 = all_1120_1
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (625), (785) imply:
% 226.82/34.83 | (844) all_1416_3 = all_755_0
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (844) implies:
% 226.82/34.83 | (845) all_1416_3 = all_755_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (749), (779) imply:
% 226.82/34.83 | (846) all_1395_6 = all_1276_5
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (846) implies:
% 226.82/34.83 | (847) all_1395_6 = all_1276_5
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (721), (781) imply:
% 226.82/34.83 | (848) all_1453_5 = all_1006_1
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (848) implies:
% 226.82/34.83 | (849) all_1453_5 = all_1006_1
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (651), (652) imply:
% 226.82/34.83 | (850) all_1336_7 = all_1238_5
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (850) implies:
% 226.82/34.83 | (851) all_1336_7 = all_1238_5
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (623), (624) imply:
% 226.82/34.83 | (852) all_761_0 = all_749_0
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (852) implies:
% 226.82/34.83 | (853) all_761_0 = all_749_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (720), (849) imply:
% 226.82/34.83 | (854) all_1412_5 = all_1006_1
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (854) implies:
% 226.82/34.83 | (855) all_1412_5 = all_1006_1
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (743), (773) imply:
% 226.82/34.83 | (856) all_1416_4 = all_751_0
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (856) implies:
% 226.82/34.83 | (857) all_1416_4 = all_751_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (701), (830) imply:
% 226.82/34.83 | (858) all_1400_0 = all_1129_0
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (858) implies:
% 226.82/34.83 | (859) all_1400_0 = all_1129_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (596), (834) imply:
% 226.82/34.83 | (860) all_1442_1 = all_1137_1
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (860) implies:
% 226.82/34.83 | (861) all_1442_1 = all_1137_1
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (839), (840) imply:
% 226.82/34.83 | (862) all_1400_0 = all_1318_0
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (862) implies:
% 226.82/34.83 | (863) all_1400_0 = all_1318_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (595), (861) imply:
% 226.82/34.83 | (864) all_1374_2 = all_1137_1
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (864) implies:
% 226.82/34.83 | (865) all_1374_2 = all_1137_1
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (699), (700) imply:
% 226.82/34.83 | (866) all_1155_0 = all_1020_2
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (866) implies:
% 226.82/34.83 | (867) all_1155_0 = all_1020_2
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (622), (845) imply:
% 226.82/34.83 | (868) all_1414_8 = all_755_0
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (868) implies:
% 226.82/34.83 | (869) all_1414_8 = all_755_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (742), (857) imply:
% 226.82/34.83 | (870) all_1414_9 = all_751_0
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (870) implies:
% 226.82/34.83 | (871) all_1414_9 = all_751_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (669), (836) imply:
% 226.82/34.83 | (872) all_1386_0 = all_1383_0
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (872) implies:
% 226.82/34.83 | (873) all_1386_0 = all_1383_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (621), (869) imply:
% 226.82/34.83 | (874) all_1412_7 = all_755_0
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (874) implies:
% 226.82/34.83 | (875) all_1412_7 = all_755_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (741), (871) imply:
% 226.82/34.83 | (876) all_1412_8 = all_751_0
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (876) implies:
% 226.82/34.83 | (877) all_1412_8 = all_751_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (719), (855) imply:
% 226.82/34.83 | (878) all_1395_7 = all_1006_1
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (878) implies:
% 226.82/34.83 | (879) all_1395_7 = all_1006_1
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (620), (875) imply:
% 226.82/34.83 | (880) all_1395_5 = all_755_0
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (880) implies:
% 226.82/34.83 | (881) all_1395_5 = all_755_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (740), (877) imply:
% 226.82/34.83 | (882) all_1281_4 = all_751_0
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (882) implies:
% 226.82/34.83 | (883) all_1281_4 = all_751_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (859), (863) imply:
% 226.82/34.83 | (884) all_1318_0 = all_1129_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (698), (863) imply:
% 226.82/34.83 | (885) all_1330_0 = all_1318_0
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (885) implies:
% 226.82/34.83 | (886) all_1330_0 = all_1318_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (619), (881) imply:
% 226.82/34.83 | (887) all_1336_0 = all_755_0
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (887) implies:
% 226.82/34.83 | (888) all_1336_0 = all_755_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (750), (847) imply:
% 226.82/34.83 | (889) all_1336_5 = all_1276_5
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (718), (879) imply:
% 226.82/34.83 | (890) all_1336_6 = all_1006_1
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (890) implies:
% 226.82/34.83 | (891) all_1336_6 = all_1006_1
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (650), (787) imply:
% 226.82/34.83 | (892) all_1276_0 = all_745_0
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (892) implies:
% 226.82/34.83 | (893) all_1276_0 = all_745_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (837), (873) imply:
% 226.82/34.83 | (894) all_1383_0 = all_882_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (838), (873) imply:
% 226.82/34.83 | (895) all_1383_0 = all_1356_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (894), (895) imply:
% 226.82/34.83 | (896) all_1356_0 = all_882_0
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (896) implies:
% 226.82/34.83 | (897) all_1356_0 = all_882_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (637), (789) imply:
% 226.82/34.83 | (898) all_1315_0 = all_1111_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (775), (789) imply:
% 226.82/34.83 | (899) all_1359_1 = all_1315_0
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (899) implies:
% 226.82/34.83 | (900) all_1359_1 = all_1315_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (594), (865) imply:
% 226.82/34.83 | (901) all_1359_2 = all_1137_1
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (901) implies:
% 226.82/34.83 | (902) all_1359_2 = all_1137_1
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (799), (900) imply:
% 226.82/34.83 | (903) all_1315_0 = all_955_0
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (903) implies:
% 226.82/34.83 | (904) all_1315_0 = all_955_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (593), (902) imply:
% 226.82/34.83 | (905) all_1330_1 = all_1137_1
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (905) implies:
% 226.82/34.83 | (906) all_1330_1 = all_1137_1
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (667), (668) imply:
% 226.82/34.83 | (907) all_1171_0 = all_1161_5
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (907) implies:
% 226.82/34.83 | (908) all_1171_0 = all_1161_5
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (668), (897) imply:
% 226.82/34.83 | (909) all_1161_5 = all_882_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (665), (666) imply:
% 226.82/34.83 | (910) all_1171_0 = all_947_2
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (910) implies:
% 226.82/34.83 | (911) all_1171_0 = all_947_2
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (666), (821) imply:
% 226.82/34.83 | (912) all_994_0 = all_947_2
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (912) implies:
% 226.82/34.83 | (913) all_994_0 = all_947_2
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (663), (664) imply:
% 226.82/34.83 | (914) all_1171_0 = all_928_1
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (914) implies:
% 226.82/34.83 | (915) all_1171_0 = all_928_1
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (618), (888) imply:
% 226.82/34.83 | (916) all_1292_1 = all_755_0
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (916) implies:
% 226.82/34.83 | (917) all_1292_1 = all_755_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (717), (891) imply:
% 226.82/34.83 | (918) all_1276_6 = all_1006_1
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (918) implies:
% 226.82/34.83 | (919) all_1276_6 = all_1006_1
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (649), (851) imply:
% 226.82/34.83 | (920) all_1292_7 = all_1238_5
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (920) implies:
% 226.82/34.83 | (921) all_1292_7 = all_1238_5
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (696), (886) imply:
% 226.82/34.83 | (922) all_1318_0 = all_1270_0
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (922) implies:
% 226.82/34.83 | (923) all_1318_0 = all_1270_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (696), (697) imply:
% 226.82/34.83 | (924) all_1270_0 = all_1155_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (592), (906) imply:
% 226.82/34.83 | (925) all_1327_0 = all_1137_1
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (925) implies:
% 226.82/34.83 | (926) all_1327_0 = all_1137_1
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (591), (926) imply:
% 226.82/34.83 | (927) all_1315_1 = all_1137_1
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (927) implies:
% 226.82/34.83 | (928) all_1315_1 = all_1137_1
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (884), (923) imply:
% 226.82/34.83 | (929) all_1270_0 = all_1129_0
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (929) implies:
% 226.82/34.83 | (930) all_1270_0 = all_1129_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (898), (904) imply:
% 226.82/34.83 | (931) all_1111_0 = all_955_0
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (931) implies:
% 226.82/34.83 | (932) all_1111_0 = all_955_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (590), (928) imply:
% 226.82/34.83 | (933) all_1306_0 = all_1137_1
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (933) implies:
% 226.82/34.83 | (934) all_1306_0 = all_1137_1
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (589), (934) imply:
% 226.82/34.83 | (935) all_1303_0 = all_1137_1
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (935) implies:
% 226.82/34.83 | (936) all_1303_0 = all_1137_1
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (588), (936) imply:
% 226.82/34.83 | (937) all_1300_0 = all_1137_1
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (937) implies:
% 226.82/34.83 | (938) all_1300_0 = all_1137_1
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (587), (938) imply:
% 226.82/34.83 | (939) all_1289_3 = all_1137_1
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (939) implies:
% 226.82/34.83 | (940) all_1289_3 = all_1137_1
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (617), (917) imply:
% 226.82/34.83 | (941) all_1284_5 = all_755_0
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (941) implies:
% 226.82/34.83 | (942) all_1284_5 = all_755_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (662), (842) imply:
% 226.82/34.83 | (943) all_1238_4 = all_1060_0
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (943) implies:
% 226.82/34.83 | (944) all_1238_4 = all_1060_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (648), (921) imply:
% 226.82/34.83 | (945) all_1284_0 = all_1238_5
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (945) implies:
% 226.82/34.83 | (946) all_1284_0 = all_1238_5
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (822), (823) imply:
% 226.82/34.83 | (947) all_1286_2 = all_1149_1
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (947) implies:
% 226.82/34.83 | (948) all_1286_2 = all_1149_1
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (586), (940) imply:
% 226.82/34.83 | (949) all_1286_3 = all_1137_1
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (949) implies:
% 226.82/34.83 | (950) all_1286_3 = all_1137_1
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (631), (948) imply:
% 226.82/34.83 | (951) all_1149_1 = all_819_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (585), (950) imply:
% 226.82/34.83 | (952) all_1246_0 = all_1137_1
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (952) implies:
% 226.82/34.83 | (953) all_1246_0 = all_1137_1
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (647), (946) imply:
% 226.82/34.83 | (954) all_1276_0 = all_1238_5
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (954) implies:
% 226.82/34.83 | (955) all_1276_0 = all_1238_5
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (616), (942) imply:
% 226.82/34.83 | (956) all_1281_3 = all_755_0
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (956) implies:
% 226.82/34.83 | (957) all_1281_3 = all_755_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (738), (739) imply:
% 226.82/34.83 | (958) all_1183_4 = all_1046_1
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (737), (738) imply:
% 226.82/34.83 | (959) all_1200_5 = all_1183_4
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (959) implies:
% 226.82/34.83 | (960) all_1200_5 = all_1183_4
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (732), (733) imply:
% 226.82/34.83 | (961) all_1232_2 = all_1223_2
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (961) implies:
% 226.82/34.83 | (962) all_1232_2 = all_1223_2
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (615), (957) imply:
% 226.82/34.83 | (963) all_1200_4 = all_755_0
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (963) implies:
% 226.82/34.83 | (964) all_1200_4 = all_755_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (736), (883) imply:
% 226.82/34.83 | (965) all_1200_5 = all_751_0
% 226.82/34.83 |
% 226.82/34.83 | SIMP: (965) implies:
% 226.82/34.83 | (966) all_1200_5 = all_751_0
% 226.82/34.83 |
% 226.82/34.83 | COMBINE_EQS: (646), (955) imply:
% 226.82/34.83 | (967) all_1238_5 = all_1161_3
% 226.82/34.83 |
% 226.82/34.84 | COMBINE_EQS: (783), (955) imply:
% 226.82/34.84 | (968) all_1238_5 = all_1018_0
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (893), (955) imply:
% 226.82/34.84 | (969) all_1238_5 = all_745_0
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (716), (919) imply:
% 226.82/34.84 | (970) all_1018_3 = all_1006_1
% 226.82/34.84 |
% 226.82/34.84 | SIMP: (970) implies:
% 226.82/34.84 | (971) all_1018_3 = all_1006_1
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (924), (930) imply:
% 226.82/34.84 | (972) all_1155_0 = all_1129_0
% 226.82/34.84 |
% 226.82/34.84 | SIMP: (972) implies:
% 226.82/34.84 | (973) all_1155_0 = all_1129_0
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (584), (953) imply:
% 226.82/34.84 | (974) all_1229_0 = all_1137_1
% 226.82/34.84 |
% 226.82/34.84 | SIMP: (974) implies:
% 226.82/34.84 | (975) all_1229_0 = all_1137_1
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (843), (944) imply:
% 226.82/34.84 | (976) all_1120_1 = all_1060_0
% 226.82/34.84 |
% 226.82/34.84 | SIMP: (976) implies:
% 226.82/34.84 | (977) all_1120_1 = all_1060_0
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (967), (968) imply:
% 226.82/34.84 | (978) all_1161_3 = all_1018_0
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (967), (969) imply:
% 226.82/34.84 | (979) all_1161_3 = all_745_0
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (730), (962) imply:
% 226.82/34.84 | (980) all_1223_2 = all_1102_2
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (731), (962) imply:
% 226.82/34.84 | (981) all_1223_2 = all_1046_0
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (583), (975) imply:
% 226.82/34.84 | (982) all_1226_0 = all_1137_1
% 226.82/34.84 |
% 226.82/34.84 | SIMP: (982) implies:
% 226.82/34.84 | (983) all_1226_0 = all_1137_1
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (582), (983) imply:
% 226.82/34.84 | (984) all_1211_0 = all_1137_1
% 226.82/34.84 |
% 226.82/34.84 | SIMP: (984) implies:
% 226.82/34.84 | (985) all_1211_0 = all_1137_1
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (980), (981) imply:
% 226.82/34.84 | (986) all_1102_2 = all_1046_0
% 226.82/34.84 |
% 226.82/34.84 | SIMP: (986) implies:
% 226.82/34.84 | (987) all_1102_2 = all_1046_0
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (581), (985) imply:
% 226.82/34.84 | (988) all_1208_0 = all_1137_1
% 226.82/34.84 |
% 226.82/34.84 | SIMP: (988) implies:
% 226.82/34.84 | (989) all_1208_0 = all_1137_1
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (580), (989) imply:
% 226.82/34.84 | (990) all_1165_1 = all_1137_1
% 226.82/34.84 |
% 226.82/34.84 | SIMP: (990) implies:
% 226.82/34.84 | (991) all_1165_1 = all_1137_1
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (614), (964) imply:
% 226.82/34.84 | (992) all_1194_0 = all_755_0
% 226.82/34.84 |
% 226.82/34.84 | SIMP: (992) implies:
% 226.82/34.84 | (993) all_1194_0 = all_755_0
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (960), (966) imply:
% 226.82/34.84 | (994) all_1183_4 = all_751_0
% 226.82/34.84 |
% 226.82/34.84 | SIMP: (994) implies:
% 226.82/34.84 | (995) all_1183_4 = all_751_0
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (613), (993) imply:
% 226.82/34.84 | (996) all_1183_3 = all_755_0
% 226.82/34.84 |
% 226.82/34.84 | SIMP: (996) implies:
% 226.82/34.84 | (997) all_1183_3 = all_755_0
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (612), (997) imply:
% 226.82/34.84 | (998) all_1035_2 = all_755_0
% 226.82/34.84 |
% 226.82/34.84 | SIMP: (998) implies:
% 226.82/34.84 | (999) all_1035_2 = all_755_0
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (958), (995) imply:
% 226.82/34.84 | (1000) all_1046_1 = all_751_0
% 226.82/34.84 |
% 226.82/34.84 | SIMP: (1000) implies:
% 226.82/34.84 | (1001) all_1046_1 = all_751_0
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (661), (915) imply:
% 226.82/34.84 | (1002) all_1026_1 = all_928_1
% 226.82/34.84 |
% 226.82/34.84 | SIMP: (1002) implies:
% 226.82/34.84 | (1003) all_1026_1 = all_928_1
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (911), (915) imply:
% 226.82/34.84 | (1004) all_947_2 = all_928_1
% 226.82/34.84 |
% 226.82/34.84 | SIMP: (1004) implies:
% 226.82/34.84 | (1005) all_947_2 = all_928_1
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (908), (915) imply:
% 226.82/34.84 | (1006) all_1161_5 = all_928_1
% 226.82/34.84 |
% 226.82/34.84 | SIMP: (1006) implies:
% 226.82/34.84 | (1007) all_1161_5 = all_928_1
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (825), (826) imply:
% 226.82/34.84 | (1008) all_1137_0 = all_1068_0
% 226.82/34.84 |
% 226.82/34.84 | SIMP: (1008) implies:
% 226.82/34.84 | (1009) all_1137_0 = all_1068_0
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (579), (991) imply:
% 226.82/34.84 | (1010) all_1155_1 = all_1137_1
% 226.82/34.84 |
% 226.82/34.84 | SIMP: (1010) implies:
% 226.82/34.84 | (1011) all_1155_1 = all_1137_1
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (978), (979) imply:
% 226.82/34.84 | (1012) all_1018_0 = all_745_0
% 226.82/34.84 |
% 226.82/34.84 | SIMP: (1012) implies:
% 226.82/34.84 | (1013) all_1018_0 = all_745_0
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (909), (1007) imply:
% 226.82/34.84 | (1014) all_928_1 = all_882_0
% 226.82/34.84 |
% 226.82/34.84 | SIMP: (1014) implies:
% 226.82/34.84 | (1015) all_928_1 = all_882_0
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (695), (973) imply:
% 226.82/34.84 | (1016) all_1129_0 = all_1083_0
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (867), (973) imply:
% 226.82/34.84 | (1017) all_1129_0 = all_1020_2
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (578), (1011) imply:
% 226.82/34.84 | (1018) all_1137_1 = all_1129_1
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (805), (1011) imply:
% 226.82/34.84 | (1019) all_1137_1 = all_974_0
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (694), (1009) imply:
% 226.82/34.84 | (1020) all_1111_1 = all_1068_0
% 226.82/34.84 |
% 226.82/34.84 | SIMP: (1020) implies:
% 226.82/34.84 | (1021) all_1111_1 = all_1068_0
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (1018), (1019) imply:
% 226.82/34.84 | (1022) all_1129_1 = all_974_0
% 226.82/34.84 |
% 226.82/34.84 | SIMP: (1022) implies:
% 226.82/34.84 | (1023) all_1129_1 = all_974_0
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (1016), (1017) imply:
% 226.82/34.84 | (1024) all_1083_0 = all_1020_2
% 226.82/34.84 |
% 226.82/34.84 | SIMP: (1024) implies:
% 226.82/34.84 | (1025) all_1083_0 = all_1020_2
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (577), (1023) imply:
% 226.82/34.84 | (1026) all_1111_2 = all_974_0
% 226.82/34.84 |
% 226.82/34.84 | SIMP: (1026) implies:
% 226.82/34.84 | (1027) all_1111_2 = all_974_0
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (659), (977) imply:
% 226.82/34.84 | (1028) all_1060_0 = all_1000_0
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (660), (977) imply:
% 226.82/34.84 | (1029) all_1060_0 = all_854_0
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (575), (576) imply:
% 226.82/34.84 | (1030) all_819_1 = all_747_0
% 226.82/34.84 |
% 226.82/34.84 | SIMP: (1030) implies:
% 226.82/34.84 | (1031) all_819_1 = all_747_0
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (636), (932) imply:
% 226.82/34.84 | (1032) all_1020_1 = all_955_0
% 226.82/34.84 |
% 226.82/34.84 | SIMP: (1032) implies:
% 226.82/34.84 | (1033) all_1020_1 = all_955_0
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (693), (1021) imply:
% 226.82/34.84 | (1034) all_1105_0 = all_1068_0
% 226.82/34.84 |
% 226.82/34.84 | SIMP: (1034) implies:
% 226.82/34.84 | (1035) all_1105_0 = all_1068_0
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (574), (1027) imply:
% 226.82/34.84 | (1036) all_1083_1 = all_974_0
% 226.82/34.84 |
% 226.82/34.84 | SIMP: (1036) implies:
% 226.82/34.84 | (1037) all_1083_1 = all_974_0
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (571), (572) imply:
% 226.82/34.84 | (1038) all_982_1 = all_939_0
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (571), (573) imply:
% 226.82/34.84 | (1039) all_982_1 = all_936_0
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (570), (571) imply:
% 226.82/34.84 | (1040) all_1083_1 = all_982_1
% 226.82/34.84 |
% 226.82/34.84 | SIMP: (1040) implies:
% 226.82/34.84 | (1041) all_1083_1 = all_982_1
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (692), (1035) imply:
% 226.82/34.84 | (1042) all_1083_0 = all_1068_0
% 226.82/34.84 |
% 226.82/34.84 | SIMP: (1042) implies:
% 226.82/34.84 | (1043) all_1083_0 = all_1068_0
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (729), (987) imply:
% 226.82/34.84 | (1044) all_1046_0 = all_960_2
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (728), (987) imply:
% 226.82/34.84 | (1045) all_1046_0 = all_1035_4
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (1025), (1043) imply:
% 226.82/34.84 | (1046) all_1068_0 = all_1020_2
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (1037), (1041) imply:
% 226.82/34.84 | (1047) all_982_1 = all_974_0
% 226.82/34.84 |
% 226.82/34.84 | SIMP: (1047) implies:
% 226.82/34.84 | (1048) all_982_1 = all_974_0
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (1028), (1029) imply:
% 226.82/34.84 | (1049) all_1000_0 = all_854_0
% 226.82/34.84 |
% 226.82/34.84 | SIMP: (1049) implies:
% 226.82/34.84 | (1050) all_1000_0 = all_854_0
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (1044), (1045) imply:
% 226.82/34.84 | (1051) all_1035_4 = all_960_2
% 226.82/34.84 |
% 226.82/34.84 | SIMP: (1051) implies:
% 226.82/34.84 | (1052) all_1035_4 = all_960_2
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (735), (1001) imply:
% 226.82/34.84 | (1053) all_1032_1 = all_751_0
% 226.82/34.84 |
% 226.82/34.84 | SIMP: (1053) implies:
% 226.82/34.84 | (1054) all_1032_1 = all_751_0
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (611), (999) imply:
% 226.82/34.84 | (1055) all_1032_0 = all_755_0
% 226.82/34.84 |
% 226.82/34.84 | SIMP: (1055) implies:
% 226.82/34.84 | (1056) all_1032_0 = all_755_0
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (727), (1052) imply:
% 226.82/34.84 | (1057) all_1032_3 = all_960_2
% 226.82/34.84 |
% 226.82/34.84 | SIMP: (1057) implies:
% 226.82/34.84 | (1058) all_1032_3 = all_960_2
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (610), (1056) imply:
% 226.82/34.84 | (1059) all_970_1 = all_755_0
% 226.82/34.84 |
% 226.82/34.84 | SIMP: (1059) implies:
% 226.82/34.84 | (1060) all_970_1 = all_755_0
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (734), (1054) imply:
% 226.82/34.84 | (1061) all_970_2 = all_751_0
% 226.82/34.84 |
% 226.82/34.84 | SIMP: (1061) implies:
% 226.82/34.84 | (1062) all_970_2 = all_751_0
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (726), (1058) imply:
% 226.82/34.84 | (1063) all_960_2 = all_757_0
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (658), (801) imply:
% 226.82/34.84 | (1064) all_913_0 = all_879_0
% 226.82/34.84 |
% 226.82/34.84 | SIMP: (1064) implies:
% 226.82/34.84 | (1065) all_913_0 = all_879_0
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (757), (801) imply:
% 226.82/34.84 | (1066) all_879_0 = all_814_1
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (801), (1003) imply:
% 226.82/34.84 | (1067) all_928_1 = all_879_0
% 226.82/34.84 |
% 226.82/34.84 | SIMP: (1067) implies:
% 226.82/34.84 | (1068) all_928_1 = all_879_0
% 226.82/34.84 |
% 226.82/34.84 | COMBINE_EQS: (635), (1033) imply:
% 226.82/34.84 | (1069) all_982_0 = all_955_0
% 226.82/34.84 |
% 227.19/34.84 | SIMP: (1069) implies:
% 227.19/34.84 | (1070) all_982_0 = all_955_0
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (819), (1050) imply:
% 227.19/34.84 | (1071) all_994_0 = all_854_0
% 227.19/34.84 |
% 227.19/34.84 | SIMP: (1071) implies:
% 227.19/34.84 | (1072) all_994_0 = all_854_0
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (913), (1072) imply:
% 227.19/34.84 | (1073) all_947_2 = all_854_0
% 227.19/34.84 |
% 227.19/34.84 | SIMP: (1073) implies:
% 227.19/34.84 | (1074) all_947_2 = all_854_0
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (761), (1070) imply:
% 227.19/34.84 | (1075) all_955_0 = all_857_0
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (1039), (1048) imply:
% 227.19/34.84 | (1076) all_974_0 = all_936_0
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (1038), (1048) imply:
% 227.19/34.84 | (1077) all_974_0 = all_939_0
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (1076), (1077) imply:
% 227.19/34.84 | (1078) all_939_0 = all_936_0
% 227.19/34.84 |
% 227.19/34.84 | SIMP: (1078) implies:
% 227.19/34.84 | (1079) all_939_0 = all_936_0
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (609), (1060) imply:
% 227.19/34.84 | (1080) all_960_0 = all_755_0
% 227.19/34.84 |
% 227.19/34.84 | SIMP: (1080) implies:
% 227.19/34.84 | (1081) all_960_0 = all_755_0
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (608), (1081) imply:
% 227.19/34.84 | (1082) all_761_0 = all_755_0
% 227.19/34.84 |
% 227.19/34.84 | SIMP: (1082) implies:
% 227.19/34.84 | (1083) all_761_0 = all_755_0
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (1005), (1074) imply:
% 227.19/34.84 | (1084) all_928_1 = all_854_0
% 227.19/34.84 |
% 227.19/34.84 | SIMP: (1084) implies:
% 227.19/34.84 | (1085) all_928_1 = all_854_0
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (568), (1079) imply:
% 227.19/34.84 | (1086) all_936_0 = all_857_1
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (569), (1079) imply:
% 227.19/34.84 | (1087) all_936_0 = all_737_0
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (1086), (1087) imply:
% 227.19/34.84 | (1088) all_857_1 = all_737_0
% 227.19/34.84 |
% 227.19/34.84 | SIMP: (1088) implies:
% 227.19/34.84 | (1089) all_857_1 = all_737_0
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (1015), (1085) imply:
% 227.19/34.84 | (1090) all_882_0 = all_854_0
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (1015), (1068) imply:
% 227.19/34.84 | (1091) all_882_0 = all_879_0
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (657), (1065) imply:
% 227.19/34.84 | (1092) all_879_0 = all_876_0
% 227.19/34.84 |
% 227.19/34.84 | SIMP: (1092) implies:
% 227.19/34.84 | (1093) all_879_0 = all_876_0
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (1090), (1091) imply:
% 227.19/34.84 | (1094) all_879_0 = all_854_0
% 227.19/34.84 |
% 227.19/34.84 | SIMP: (1094) implies:
% 227.19/34.84 | (1095) all_879_0 = all_854_0
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (1066), (1093) imply:
% 227.19/34.84 | (1096) all_876_0 = all_814_1
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (1093), (1095) imply:
% 227.19/34.84 | (1097) all_876_0 = all_854_0
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (1096), (1097) imply:
% 227.19/34.84 | (1098) all_854_0 = all_814_1
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (567), (1089) imply:
% 227.19/34.84 | (1099) all_819_1 = all_737_0
% 227.19/34.84 |
% 227.19/34.84 | SIMP: (1099) implies:
% 227.19/34.84 | (1100) all_819_1 = all_737_0
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (1031), (1100) imply:
% 227.19/34.84 | (1101) all_747_0 = all_737_0
% 227.19/34.84 |
% 227.19/34.84 | SIMP: (1101) implies:
% 227.19/34.84 | (1102) all_747_0 = all_737_0
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (853), (1083) imply:
% 227.19/34.84 | (1103) all_755_0 = all_749_0
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (1090), (1098) imply:
% 227.19/34.84 | (1104) all_882_0 = all_814_1
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (1015), (1104) imply:
% 227.19/34.84 | (1105) all_928_1 = all_814_1
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (1074), (1098) imply:
% 227.19/34.84 | (1106) all_947_2 = all_814_1
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (1060), (1103) imply:
% 227.19/34.84 | (1107) all_970_1 = all_749_0
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (1076), (1087) imply:
% 227.19/34.84 | (1108) all_974_0 = all_737_0
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (1072), (1098) imply:
% 227.19/34.84 | (1109) all_994_0 = all_814_1
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (1056), (1103) imply:
% 227.19/34.84 | (1110) all_1032_0 = all_749_0
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (1044), (1063) imply:
% 227.19/34.84 | (1111) all_1046_0 = all_757_0
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (987), (1111) imply:
% 227.19/34.84 | (1112) all_1102_2 = all_757_0
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (1019), (1108) imply:
% 227.19/34.84 | (1113) all_1137_1 = all_737_0
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (909), (1104) imply:
% 227.19/34.84 | (1114) all_1161_5 = all_814_1
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (825), (1046) imply:
% 227.19/34.84 | (1115) all_1165_0 = all_1020_2
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (997), (1103) imply:
% 227.19/34.84 | (1116) all_1183_3 = all_749_0
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (964), (1103) imply:
% 227.19/34.84 | (1117) all_1200_4 = all_749_0
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (975), (1113) imply:
% 227.19/34.84 | (1118) all_1229_0 = all_737_0
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (957), (1103) imply:
% 227.19/34.84 | (1119) all_1281_3 = all_749_0
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (738), (995) imply:
% 227.19/34.84 | (1120) all_1284_6 = all_751_0
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (942), (1103) imply:
% 227.19/34.84 | (1121) all_1284_5 = all_749_0
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (946), (969) imply:
% 227.19/34.84 | (1122) all_1284_0 = all_745_0
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (822), (951) imply:
% 227.19/34.84 | (1123) all_1289_2 = all_819_0
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (904), (1075) imply:
% 227.19/34.84 | (1124) all_1315_0 = all_857_0
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (799), (1075) imply:
% 227.19/34.84 | (1125) all_1359_1 = all_857_0
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (789), (1124) imply:
% 227.19/34.84 | (1126) all_1374_1 = all_857_0
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (875), (1103) imply:
% 227.19/34.84 | (1127) all_1412_7 = all_749_0
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (869), (1103) imply:
% 227.19/34.84 | (1128) all_1414_8 = all_749_0
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (845), (1103) imply:
% 227.19/34.84 | (1129) all_1416_3 = all_749_0
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (817), (1113) imply:
% 227.19/34.84 | (1130) all_1503_10 = all_737_0
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (815), (1115) imply:
% 227.19/34.84 | (1131) all_1503_9 = all_1020_2
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (632), (1123) imply:
% 227.19/34.84 | (1132) all_1503_7 = all_819_0
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (679), (1109) imply:
% 227.19/34.84 | (1133) all_1503_5 = all_814_1
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (763), (1103) imply:
% 227.19/34.84 | (1134) all_1571_9 = all_749_0
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (759), (1103) imply:
% 227.19/34.84 | (1135) all_1597_6 = all_749_0
% 227.19/34.84 |
% 227.19/34.84 | COMBINE_EQS: (630), (1103) imply:
% 227.19/34.84 | (1136) all_1606_18 = all_749_0
% 227.19/34.84 |
% 227.19/34.84 | REDUCE: (174), (1103) imply:
% 227.19/34.84 | (1137) ~ (all_749_0 = v_w____)
% 227.19/34.84 |
% 227.19/34.84 | REDUCE: (342), (893) imply:
% 227.19/34.84 | (1138) c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, all_745_0) =
% 227.19/34.84 | all_1276_1
% 227.19/34.84 |
% 227.19/34.84 | REDUCE: (238), (1013) imply:
% 227.19/34.84 | (1139) c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, all_745_0) =
% 227.19/34.84 | all_1018_1
% 227.19/34.84 |
% 227.19/34.84 | REDUCE: (408), (1126) imply:
% 227.19/34.84 | (1140) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, all_857_0) =
% 227.19/34.84 | all_1374_0
% 227.19/34.84 |
% 227.19/34.84 | REDUCE: (404), (1125) imply:
% 227.19/34.84 | (1141) c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, all_857_0) =
% 227.19/34.84 | all_1359_0
% 227.19/34.84 |
% 227.19/34.84 | REDUCE: (506), (1133) imply:
% 227.19/34.84 | (1142) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_814_1) =
% 227.19/34.84 | all_1503_4
% 227.19/34.84 |
% 227.19/34.84 | REDUCE: (293), (1114) imply:
% 227.19/34.84 | (1143) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_814_1) =
% 227.19/34.84 | all_1161_4
% 227.19/34.84 |
% 227.19/34.84 | REDUCE: (208), (1106) imply:
% 227.19/34.84 | (1144) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_814_1) =
% 227.19/34.84 | all_947_1
% 227.19/34.84 |
% 227.19/34.84 | REDUCE: (200), (1105) imply:
% 227.19/34.84 | (1145) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v_k____, all_814_1) =
% 227.19/34.84 | all_928_0
% 227.19/34.84 |
% 227.19/34.84 | REDUCE: (558), (1136) imply:
% 227.19/34.84 | (1146) hAPP(all_1606_10, all_749_0) = all_1606_9
% 227.19/34.84 |
% 227.19/34.84 | REDUCE: (557), (747), (1136) imply:
% 227.19/34.84 | (1147) hAPP(all_751_0, all_749_0) = all_1606_14
% 227.19/34.84 |
% 227.19/34.84 | REDUCE: (549), (755), (1135) imply:
% 227.19/34.84 | (1148) hAPP(all_751_0, all_749_0) = all_1597_5
% 227.19/34.84 |
% 227.19/34.84 | REDUCE: (540), (1134) imply:
% 227.19/34.84 | (1149) hAPP(all_1571_5, all_749_0) = all_1571_4
% 227.19/34.84 |
% 227.19/34.84 | REDUCE: (539), (765), (1134) imply:
% 227.19/34.84 | (1150) hAPP(all_751_0, all_749_0) = all_1571_8
% 227.19/34.84 |
% 227.19/34.84 | REDUCE: (497), (685), (1132) imply:
% 227.19/34.84 | (1151) hAPP(all_1347_0, all_819_0) = all_1503_6
% 227.19/34.84 |
% 227.19/34.84 | REDUCE: (496), (1131) imply:
% 227.19/34.84 | (1152) hAPP(all_1020_2, all_1503_3) = all_1503_2
% 227.19/34.84 |
% 227.19/34.84 | REDUCE: (474), (779) imply:
% 227.19/34.84 | (1153) hAPP(all_1276_5, v_w____) = all_1459_6
% 227.19/34.84 |
% 227.19/34.84 | REDUCE: (473), (781) imply:
% 227.19/34.84 | (1154) hAPP(all_1006_1, all_1459_5) = all_1459_4
% 227.19/34.84 |
% 227.19/34.84 | REDUCE: (465), (624), (773) imply:
% 227.19/34.84 | (1155) hAPP(all_751_0, all_749_0) = all_1453_3
% 227.19/34.84 |
% 227.19/34.84 | REDUCE: (448), (857), (1129) imply:
% 227.19/34.84 | (1156) hAPP(all_751_0, all_749_0) = all_1416_2
% 227.19/34.84 |
% 227.19/34.84 | REDUCE: (441), (871), (1128) imply:
% 227.19/34.84 | (1157) hAPP(all_751_0, all_749_0) = all_1414_7
% 227.19/34.84 |
% 227.19/34.84 | REDUCE: (432), (1127) imply:
% 227.19/34.84 | (1158) hAPP(all_1412_2, all_749_0) = all_1412_1
% 227.19/34.84 |
% 227.19/34.84 | REDUCE: (431), (855) imply:
% 227.19/34.84 | (1159) hAPP(all_1006_1, all_1412_1) = all_1412_0
% 227.19/34.84 |
% 227.19/34.84 | REDUCE: (430), (877), (1127) imply:
% 227.19/34.84 | (1160) hAPP(all_751_0, all_749_0) = all_1412_6
% 227.19/34.84 |
% 227.19/34.84 | REDUCE: (419), (847) imply:
% 227.19/34.84 | (1161) hAPP(all_1276_5, all_1395_4) = all_1395_3
% 227.19/34.85 |
% 227.19/34.85 | REDUCE: (418), (879) imply:
% 227.19/34.85 | (1162) hAPP(all_1006_1, all_1395_2) = all_1395_1
% 227.19/34.85 |
% 227.19/34.85 | REDUCE: (386), (889) imply:
% 227.19/34.85 | (1163) hAPP(all_1276_5, v_w____) = all_1336_4
% 227.19/34.85 |
% 227.19/34.85 | REDUCE: (385), (891) imply:
% 227.19/34.85 | (1164) hAPP(all_1006_1, all_1336_3) = all_1336_2
% 227.19/34.85 |
% 227.19/34.85 | REDUCE: (350), (1121), (1122) imply:
% 227.19/34.85 | (1165) hAPP(all_1284_1, all_749_0) = all_745_0
% 227.19/34.85 |
% 227.19/34.85 | REDUCE: (349), (1120), (1121) imply:
% 227.19/34.85 | (1166) hAPP(all_751_0, all_749_0) = all_1284_4
% 227.19/34.85 |
% 227.19/34.85 | REDUCE: (344), (883), (1119) imply:
% 227.19/34.85 | (1167) hAPP(all_751_0, all_749_0) = all_1281_2
% 227.19/34.85 |
% 227.19/34.85 | REDUCE: (335), (919) imply:
% 227.19/34.85 | (1168) hAPP(all_1006_1, all_1276_3) = all_1276_2
% 227.19/34.85 |
% 227.19/34.85 | REDUCE: (308), (966), (1117) imply:
% 227.19/34.85 | (1169) hAPP(all_751_0, all_749_0) = all_1200_3
% 227.19/34.85 |
% 227.19/34.85 | REDUCE: (300), (995), (1116) imply:
% 227.19/34.85 | (1170) hAPP(all_751_0, all_749_0) = all_1183_2
% 227.19/34.85 |
% 227.19/34.85 | REDUCE: (264), (1112) imply:
% 227.19/34.85 | (1171) hAPP(all_757_0, v_c____) = all_1102_1
% 227.19/34.85 |
% 227.19/34.85 | REDUCE: (246), (1054), (1110) imply:
% 227.19/34.85 | (1172) hAPP(all_751_0, all_749_0) = all_1032_2
% 227.19/34.85 |
% 227.19/34.85 | REDUCE: (245), (726) imply:
% 227.19/34.85 | (1173) hAPP(all_757_0, v_c____) = all_1032_2
% 227.19/34.85 |
% 227.19/34.85 | REDUCE: (234), (971) imply:
% 227.19/34.85 | (1174) hAPP(all_1006_1, c_Complex_Oii) = all_1018_2
% 227.19/34.85 |
% 227.19/34.85 | REDUCE: (218), (1062), (1107) imply:
% 227.19/34.85 | (1175) hAPP(all_751_0, all_749_0) = all_970_0
% 227.19/34.85 |
% 227.19/34.85 | REDUCE: (213), (1063) imply:
% 227.19/34.85 | (1176) hAPP(all_757_0, v_c____) = all_960_1
% 227.19/34.85 |
% 227.19/34.85 | REDUCE: (285), (951) imply:
% 227.19/34.85 | (1177) $i(all_819_0)
% 227.19/34.85 |
% 227.19/34.85 | REDUCE: (210), (1075) imply:
% 227.19/34.85 | (1178) $i(all_857_0)
% 227.19/34.85 |
% 227.19/34.85 | REDUCE: (164), (1102) imply:
% 227.19/34.85 | (1179) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_737_0, v_m____)
% 227.19/34.85 |
% 227.19/34.85 | REDUCE: (493), (1130) imply:
% 227.19/34.85 | (1180) ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_737_0,
% 227.19/34.85 | all_1503_0)
% 227.19/34.85 |
% 227.19/34.85 | GROUND_INST: instantiating (152) with all_1183_2, all_1453_3, all_749_0,
% 227.19/34.85 | all_751_0, simplifying with (1155), (1170) gives:
% 227.19/34.85 | (1181) all_1453_3 = all_1183_2
% 227.19/34.85 |
% 227.19/34.85 | GROUND_INST: instantiating (152) with all_1032_2, all_1453_3, all_749_0,
% 227.19/34.85 | all_751_0, simplifying with (1155), (1172) gives:
% 227.19/34.85 | (1182) all_1453_3 = all_1032_2
% 227.19/34.85 |
% 227.19/34.85 | GROUND_INST: instantiating (152) with all_1284_4, all_1571_8, all_749_0,
% 227.19/34.85 | all_751_0, simplifying with (1150), (1166) gives:
% 227.19/34.85 | (1183) all_1571_8 = all_1284_4
% 227.19/34.85 |
% 227.19/34.85 | GROUND_INST: instantiating (152) with all_1453_3, all_1597_5, all_749_0,
% 227.19/34.85 | all_751_0, simplifying with (1148), (1155) gives:
% 227.19/34.85 | (1184) all_1597_5 = all_1453_3
% 227.19/34.85 |
% 227.19/34.85 | GROUND_INST: instantiating (152) with all_1414_7, all_1597_5, all_749_0,
% 227.19/34.85 | all_751_0, simplifying with (1148), (1157) gives:
% 227.19/34.85 | (1185) all_1597_5 = all_1414_7
% 227.19/34.85 |
% 227.19/34.85 | GROUND_INST: instantiating (152) with all_1412_6, all_1597_5, all_749_0,
% 227.19/34.85 | all_751_0, simplifying with (1148), (1160) gives:
% 227.19/34.85 | (1186) all_1597_5 = all_1412_6
% 227.19/34.85 |
% 227.19/34.85 | GROUND_INST: instantiating (152) with all_1281_2, all_1597_5, all_749_0,
% 227.19/34.85 | all_751_0, simplifying with (1148), (1167) gives:
% 227.19/34.85 | (1187) all_1597_5 = all_1281_2
% 227.19/34.85 |
% 227.19/34.85 | GROUND_INST: instantiating (152) with all_1200_3, all_1597_5, all_749_0,
% 227.19/34.85 | all_751_0, simplifying with (1148), (1169) gives:
% 227.19/34.85 | (1188) all_1597_5 = all_1200_3
% 227.19/34.85 |
% 227.19/34.85 | GROUND_INST: instantiating (152) with all_970_0, all_1597_5, all_749_0,
% 227.19/34.85 | all_751_0, simplifying with (1148), (1175) gives:
% 227.19/34.85 | (1189) all_1597_5 = all_970_0
% 227.19/34.85 |
% 227.19/34.85 | GROUND_INST: instantiating (152) with all_1571_8, all_1606_14, all_749_0,
% 227.19/34.85 | all_751_0, simplifying with (1147), (1150) gives:
% 227.19/34.85 | (1190) all_1606_14 = all_1571_8
% 227.19/34.85 |
% 227.19/34.85 | GROUND_INST: instantiating (152) with all_1416_2, all_1606_14, all_749_0,
% 227.19/34.85 | all_751_0, simplifying with (1147), (1156) gives:
% 227.19/34.85 | (1191) all_1606_14 = all_1416_2
% 227.19/34.85 |
% 227.19/34.85 | GROUND_INST: instantiating (152) with all_1414_7, all_1606_14, all_749_0,
% 227.19/34.85 | all_751_0, simplifying with (1147), (1157) gives:
% 227.19/34.85 | (1192) all_1606_14 = all_1414_7
% 227.19/34.85 |
% 227.19/34.85 | GROUND_INST: instantiating (152) with all_1032_2, all_1102_1, v_c____,
% 227.19/34.85 | all_757_0, simplifying with (1171), (1173) gives:
% 227.19/34.85 | (1193) all_1102_1 = all_1032_2
% 227.19/34.85 |
% 227.19/34.85 | GROUND_INST: instantiating (152) with all_960_1, all_1102_1, v_c____,
% 227.19/34.85 | all_757_0, simplifying with (1171), (1176) gives:
% 227.19/34.85 | (1194) all_1102_1 = all_960_1
% 227.19/34.85 |
% 227.19/34.85 | GROUND_INST: instantiating (152) with all_1006_0, all_1018_2, c_Complex_Oii,
% 227.19/34.85 | all_1006_1, simplifying with (231), (1174) gives:
% 227.19/34.85 | (1195) all_1018_2 = all_1006_0
% 227.19/34.85 |
% 227.19/34.85 | GROUND_INST: instantiating (152) with all_1276_4, all_1459_6, v_w____,
% 227.19/34.85 | all_1276_5, simplifying with (336), (1153) gives:
% 227.19/34.85 | (1196) all_1459_6 = all_1276_4
% 227.19/34.85 |
% 227.19/34.85 | GROUND_INST: instantiating (152) with all_1336_4, all_1459_6, v_w____,
% 227.19/34.85 | all_1276_5, simplifying with (1153), (1163) gives:
% 227.19/34.85 | (1197) all_1459_6 = all_1336_4
% 227.19/34.85 |
% 227.19/34.85 | GROUND_INST: instantiating (157) with all_947_1, all_1161_4, all_814_1,
% 227.19/34.85 | v_k____, tc_Nat_Onat, simplifying with (1143), (1144) gives:
% 227.19/34.85 | (1198) all_1161_4 = all_947_1
% 227.19/34.85 |
% 227.19/34.85 | GROUND_INST: instantiating (157) with all_1161_4, all_1503_4, all_814_1,
% 227.19/34.85 | v_k____, tc_Nat_Onat, simplifying with (1142), (1143) gives:
% 227.19/34.85 | (1199) all_1503_4 = all_1161_4
% 227.19/34.85 |
% 227.19/34.85 | GROUND_INST: instantiating (157) with all_928_0, all_1503_4, all_814_1,
% 227.19/34.85 | v_k____, tc_Nat_Onat, simplifying with (1142), (1145) gives:
% 227.19/34.85 | (1200) all_1503_4 = all_928_0
% 227.19/34.85 |
% 227.19/34.85 | GROUND_INST: instantiating (156) with all_1359_0, all_1374_0, all_857_0,
% 227.19/34.85 | tc_RealDef_Oreal, simplifying with (1140), (1141) gives:
% 227.19/34.85 | (1201) all_1374_0 = all_1359_0
% 227.19/34.85 |
% 227.19/34.85 | GROUND_INST: instantiating (156) with all_1018_1, all_1276_1, all_745_0,
% 227.19/34.85 | tc_Complex_Ocomplex, simplifying with (1138), (1139) gives:
% 227.19/34.85 | (1202) all_1276_1 = all_1018_1
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1190), (1191) imply:
% 227.19/34.85 | (1203) all_1571_8 = all_1416_2
% 227.19/34.85 |
% 227.19/34.85 | SIMP: (1203) implies:
% 227.19/34.85 | (1204) all_1571_8 = all_1416_2
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1191), (1192) imply:
% 227.19/34.85 | (1205) all_1416_2 = all_1414_7
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1185), (1186) imply:
% 227.19/34.85 | (1206) all_1414_7 = all_1412_6
% 227.19/34.85 |
% 227.19/34.85 | SIMP: (1206) implies:
% 227.19/34.85 | (1207) all_1414_7 = all_1412_6
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1184), (1186) imply:
% 227.19/34.85 | (1208) all_1453_3 = all_1412_6
% 227.19/34.85 |
% 227.19/34.85 | SIMP: (1208) implies:
% 227.19/34.85 | (1209) all_1453_3 = all_1412_6
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1186), (1189) imply:
% 227.19/34.85 | (1210) all_1412_6 = all_970_0
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1186), (1187) imply:
% 227.19/34.85 | (1211) all_1412_6 = all_1281_2
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1186), (1188) imply:
% 227.19/34.85 | (1212) all_1412_6 = all_1200_3
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1183), (1204) imply:
% 227.19/34.85 | (1213) all_1416_2 = all_1284_4
% 227.19/34.85 |
% 227.19/34.85 | SIMP: (1213) implies:
% 227.19/34.85 | (1214) all_1416_2 = all_1284_4
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1199), (1200) imply:
% 227.19/34.85 | (1215) all_1161_4 = all_928_0
% 227.19/34.85 |
% 227.19/34.85 | SIMP: (1215) implies:
% 227.19/34.85 | (1216) all_1161_4 = all_928_0
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1196), (1197) imply:
% 227.19/34.85 | (1217) all_1336_4 = all_1276_4
% 227.19/34.85 |
% 227.19/34.85 | SIMP: (1217) implies:
% 227.19/34.85 | (1218) all_1336_4 = all_1276_4
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1181), (1182) imply:
% 227.19/34.85 | (1219) all_1183_2 = all_1032_2
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1181), (1209) imply:
% 227.19/34.85 | (1220) all_1412_6 = all_1183_2
% 227.19/34.85 |
% 227.19/34.85 | SIMP: (1220) implies:
% 227.19/34.85 | (1221) all_1412_6 = all_1183_2
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1205), (1214) imply:
% 227.19/34.85 | (1222) all_1414_7 = all_1284_4
% 227.19/34.85 |
% 227.19/34.85 | SIMP: (1222) implies:
% 227.19/34.85 | (1223) all_1414_7 = all_1284_4
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1207), (1223) imply:
% 227.19/34.85 | (1224) all_1412_6 = all_1284_4
% 227.19/34.85 |
% 227.19/34.85 | SIMP: (1224) implies:
% 227.19/34.85 | (1225) all_1412_6 = all_1284_4
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1212), (1225) imply:
% 227.19/34.85 | (1226) all_1284_4 = all_1200_3
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1210), (1225) imply:
% 227.19/34.85 | (1227) all_1284_4 = all_970_0
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1211), (1225) imply:
% 227.19/34.85 | (1228) all_1284_4 = all_1281_2
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1221), (1225) imply:
% 227.19/34.85 | (1229) all_1284_4 = all_1183_2
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1226), (1228) imply:
% 227.19/34.85 | (1230) all_1281_2 = all_1200_3
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1227), (1228) imply:
% 227.19/34.85 | (1231) all_1281_2 = all_970_0
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1228), (1229) imply:
% 227.19/34.85 | (1232) all_1281_2 = all_1183_2
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1230), (1231) imply:
% 227.19/34.85 | (1233) all_1200_3 = all_970_0
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1230), (1232) imply:
% 227.19/34.85 | (1234) all_1200_3 = all_1183_2
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1233), (1234) imply:
% 227.19/34.85 | (1235) all_1183_2 = all_970_0
% 227.19/34.85 |
% 227.19/34.85 | SIMP: (1235) implies:
% 227.19/34.85 | (1236) all_1183_2 = all_970_0
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1219), (1236) imply:
% 227.19/34.85 | (1237) all_1032_2 = all_970_0
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1198), (1216) imply:
% 227.19/34.85 | (1238) all_947_1 = all_928_0
% 227.19/34.85 |
% 227.19/34.85 | SIMP: (1238) implies:
% 227.19/34.85 | (1239) all_947_1 = all_928_0
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1193), (1194) imply:
% 227.19/34.85 | (1240) all_1032_2 = all_960_1
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1237), (1240) imply:
% 227.19/34.85 | (1241) all_970_0 = all_960_1
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1219), (1240) imply:
% 227.19/34.85 | (1242) all_1183_2 = all_960_1
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1233), (1241) imply:
% 227.19/34.85 | (1243) all_1200_3 = all_960_1
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1230), (1243) imply:
% 227.19/34.85 | (1244) all_1281_2 = all_960_1
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1228), (1244) imply:
% 227.19/34.85 | (1245) all_1284_4 = all_960_1
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1225), (1245) imply:
% 227.19/34.85 | (1246) all_1412_6 = all_960_1
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1223), (1245) imply:
% 227.19/34.85 | (1247) all_1414_7 = all_960_1
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1214), (1245) imply:
% 227.19/34.85 | (1248) all_1416_2 = all_960_1
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1181), (1242) imply:
% 227.19/34.85 | (1249) all_1453_3 = all_960_1
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1183), (1245) imply:
% 227.19/34.85 | (1250) all_1571_8 = all_960_1
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1186), (1246) imply:
% 227.19/34.85 | (1251) all_1597_5 = all_960_1
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1191), (1248) imply:
% 227.19/34.85 | (1252) all_1606_14 = all_960_1
% 227.19/34.85 |
% 227.19/34.85 | REDUCE: (563), (1252) imply:
% 227.19/34.85 | (1253) c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, all_960_1) =
% 227.19/34.85 | all_1606_13
% 227.19/34.85 |
% 227.19/34.85 | REDUCE: (552), (1251) imply:
% 227.19/34.85 | (1254) c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, all_960_1) =
% 227.19/34.85 | all_1597_4
% 227.19/34.85 |
% 227.19/34.85 | REDUCE: (544), (1250) imply:
% 227.19/34.85 | (1255) c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, all_960_1) =
% 227.19/34.85 | all_1571_7
% 227.19/34.85 |
% 227.19/34.85 | REDUCE: (468), (1249) imply:
% 227.19/34.85 | (1256) c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, all_960_1) =
% 227.19/34.85 | all_1453_2
% 227.19/34.85 |
% 227.19/34.85 | REDUCE: (451), (1248) imply:
% 227.19/34.85 | (1257) c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, all_960_1) =
% 227.19/34.85 | all_1416_1
% 227.19/34.85 |
% 227.19/34.85 | REDUCE: (443), (1247) imply:
% 227.19/34.85 | (1258) c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, all_960_1) =
% 227.19/34.85 | all_1414_6
% 227.19/34.85 |
% 227.19/34.85 | REDUCE: (436), (1246) imply:
% 227.19/34.85 | (1259) c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, all_960_1) =
% 227.19/34.85 | all_1412_4
% 227.19/34.85 |
% 227.19/34.85 | REDUCE: (353), (1245) imply:
% 227.19/34.85 | (1260) c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, all_960_1) =
% 227.19/34.85 | all_1284_3
% 227.19/34.85 |
% 227.19/34.85 | REDUCE: (310), (1243) imply:
% 227.19/34.85 | (1261) c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, all_960_1) =
% 227.19/34.85 | all_1200_2
% 227.19/34.85 |
% 227.19/34.85 | REDUCE: (302), (1242) imply:
% 227.19/34.85 | (1262) c_Rings_Oinverse__class_Oinverse(tc_Complex_Ocomplex, all_960_1) =
% 227.19/34.85 | all_1183_1
% 227.19/34.85 |
% 227.19/34.85 | REDUCE: (498), (1200) imply:
% 227.19/34.85 | (1263) hAPP(all_1503_6, all_928_0) = all_1503_3
% 227.19/34.85 |
% 227.19/34.85 | REDUCE: (475), (1196) imply:
% 227.19/34.85 | (1264) hAPP(all_1276_4, v_k____) = all_1459_5
% 227.19/34.85 |
% 227.19/34.85 | REDUCE: (433), (1246) imply:
% 227.19/34.85 | (1265) hAPP(all_1412_0, all_960_1) = all_960_1
% 227.19/34.85 |
% 227.19/34.85 | REDUCE: (387), (1218) imply:
% 227.19/34.85 | (1266) hAPP(all_1276_4, v_k____) = all_1336_3
% 227.19/34.85 |
% 227.19/34.85 | REDUCE: (338), (1202) imply:
% 227.19/34.85 | (1267) hAPP(all_1276_2, v_a____) = all_1018_1
% 227.19/34.85 |
% 227.19/34.85 | REDUCE: (235), (1195) imply:
% 227.19/34.85 | (1268) hAPP(all_1006_0, c_Complex_Oii) = all_1018_1
% 227.19/34.85 |
% 227.19/34.85 | REDUCE: (217), (1241) imply:
% 227.19/34.85 | (1269) $i(all_960_1)
% 227.19/34.85 |
% 227.19/34.85 | REDUCE: (206), (1239) imply:
% 227.19/34.85 | (1270) $i(all_928_0)
% 227.19/34.85 |
% 227.19/34.85 | GROUND_INST: instantiating (152) with all_1276_3, all_1459_5, v_k____,
% 227.19/34.85 | all_1276_4, simplifying with (337), (1264) gives:
% 227.19/34.85 | (1271) all_1459_5 = all_1276_3
% 227.19/34.85 |
% 227.19/34.85 | GROUND_INST: instantiating (152) with all_1336_3, all_1459_5, v_k____,
% 227.19/34.85 | all_1276_4, simplifying with (1264), (1266) gives:
% 227.19/34.85 | (1272) all_1459_5 = all_1336_3
% 227.19/34.85 |
% 227.19/34.85 | GROUND_INST: instantiating (154) with all_1183_1, all_1284_3, all_960_1,
% 227.19/34.85 | tc_Complex_Ocomplex, simplifying with (1260), (1262) gives:
% 227.19/34.85 | (1273) all_1284_3 = all_1183_1
% 227.19/34.85 |
% 227.19/34.85 | GROUND_INST: instantiating (154) with all_1284_3, all_1412_4, all_960_1,
% 227.19/34.85 | tc_Complex_Ocomplex, simplifying with (1259), (1260) gives:
% 227.19/34.85 | (1274) all_1412_4 = all_1284_3
% 227.19/34.85 |
% 227.19/34.85 | GROUND_INST: instantiating (154) with all_1412_4, all_1414_6, all_960_1,
% 227.19/34.85 | tc_Complex_Ocomplex, simplifying with (1258), (1259) gives:
% 227.19/34.85 | (1275) all_1414_6 = all_1412_4
% 227.19/34.85 |
% 227.19/34.85 | GROUND_INST: instantiating (154) with all_1414_6, all_1416_1, all_960_1,
% 227.19/34.85 | tc_Complex_Ocomplex, simplifying with (1257), (1258) gives:
% 227.19/34.85 | (1276) all_1416_1 = all_1414_6
% 227.19/34.85 |
% 227.19/34.85 | GROUND_INST: instantiating (154) with all_1416_1, all_1453_2, all_960_1,
% 227.19/34.85 | tc_Complex_Ocomplex, simplifying with (1256), (1257) gives:
% 227.19/34.85 | (1277) all_1453_2 = all_1416_1
% 227.19/34.85 |
% 227.19/34.85 | GROUND_INST: instantiating (154) with all_1571_7, all_1597_4, all_960_1,
% 227.19/34.85 | tc_Complex_Ocomplex, simplifying with (1254), (1255) gives:
% 227.19/34.85 | (1278) all_1597_4 = all_1571_7
% 227.19/34.85 |
% 227.19/34.85 | GROUND_INST: instantiating (154) with all_1453_2, all_1597_4, all_960_1,
% 227.19/34.85 | tc_Complex_Ocomplex, simplifying with (1254), (1256) gives:
% 227.19/34.85 | (1279) all_1597_4 = all_1453_2
% 227.19/34.85 |
% 227.19/34.85 | GROUND_INST: instantiating (154) with all_1597_4, all_1606_13, all_960_1,
% 227.19/34.85 | tc_Complex_Ocomplex, simplifying with (1253), (1254) gives:
% 227.19/34.85 | (1280) all_1606_13 = all_1597_4
% 227.19/34.85 |
% 227.19/34.85 | GROUND_INST: instantiating (154) with all_1200_2, all_1606_13, all_960_1,
% 227.19/34.85 | tc_Complex_Ocomplex, simplifying with (1253), (1261) gives:
% 227.19/34.85 | (1281) all_1606_13 = all_1200_2
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1280), (1281) imply:
% 227.19/34.85 | (1282) all_1597_4 = all_1200_2
% 227.19/34.85 |
% 227.19/34.85 | SIMP: (1282) implies:
% 227.19/34.85 | (1283) all_1597_4 = all_1200_2
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1278), (1283) imply:
% 227.19/34.85 | (1284) all_1571_7 = all_1200_2
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1278), (1279) imply:
% 227.19/34.85 | (1285) all_1571_7 = all_1453_2
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1284), (1285) imply:
% 227.19/34.85 | (1286) all_1453_2 = all_1200_2
% 227.19/34.85 |
% 227.19/34.85 | SIMP: (1286) implies:
% 227.19/34.85 | (1287) all_1453_2 = all_1200_2
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1271), (1272) imply:
% 227.19/34.85 | (1288) all_1336_3 = all_1276_3
% 227.19/34.85 |
% 227.19/34.85 | SIMP: (1288) implies:
% 227.19/34.85 | (1289) all_1336_3 = all_1276_3
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1277), (1287) imply:
% 227.19/34.85 | (1290) all_1416_1 = all_1200_2
% 227.19/34.85 |
% 227.19/34.85 | SIMP: (1290) implies:
% 227.19/34.85 | (1291) all_1416_1 = all_1200_2
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1276), (1291) imply:
% 227.19/34.85 | (1292) all_1414_6 = all_1200_2
% 227.19/34.85 |
% 227.19/34.85 | SIMP: (1292) implies:
% 227.19/34.85 | (1293) all_1414_6 = all_1200_2
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1275), (1293) imply:
% 227.19/34.85 | (1294) all_1412_4 = all_1200_2
% 227.19/34.85 |
% 227.19/34.85 | SIMP: (1294) implies:
% 227.19/34.85 | (1295) all_1412_4 = all_1200_2
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1274), (1295) imply:
% 227.19/34.85 | (1296) all_1284_3 = all_1200_2
% 227.19/34.85 |
% 227.19/34.85 | SIMP: (1296) implies:
% 227.19/34.85 | (1297) all_1284_3 = all_1200_2
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1273), (1297) imply:
% 227.19/34.85 | (1298) all_1200_2 = all_1183_1
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1295), (1298) imply:
% 227.19/34.85 | (1299) all_1412_4 = all_1183_1
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1293), (1298) imply:
% 227.19/34.85 | (1300) all_1414_6 = all_1183_1
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1291), (1298) imply:
% 227.19/34.85 | (1301) all_1416_1 = all_1183_1
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1287), (1298) imply:
% 227.19/34.85 | (1302) all_1453_2 = all_1183_1
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1284), (1298) imply:
% 227.19/34.85 | (1303) all_1571_7 = all_1183_1
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1278), (1303) imply:
% 227.19/34.85 | (1304) all_1597_4 = all_1183_1
% 227.19/34.85 |
% 227.19/34.85 | COMBINE_EQS: (1281), (1298) imply:
% 227.19/34.85 | (1305) all_1606_13 = all_1183_1
% 227.19/34.85 |
% 227.19/34.85 | REDUCE: (566), (1305) imply:
% 227.19/34.85 | (1306) c_Polynomial_Osmult(tc_Complex_Ocomplex, all_1183_1, v_q____) =
% 227.19/34.85 | all_1606_12
% 227.19/34.85 |
% 227.19/34.85 | REDUCE: (555), (1304) imply:
% 227.19/34.85 | (1307) c_Polynomial_Osmult(tc_Complex_Ocomplex, all_1183_1, v_q____) =
% 227.19/34.85 | all_1597_3
% 227.19/34.85 |
% 227.19/34.85 | REDUCE: (547), (1303) imply:
% 227.19/34.85 | (1308) c_Polynomial_Osmult(tc_Complex_Ocomplex, all_1183_1, v_q____) =
% 227.19/34.85 | all_1571_6
% 227.19/34.85 |
% 227.19/34.85 | REDUCE: (471), (1302) imply:
% 227.19/34.85 | (1309) c_Polynomial_Osmult(tc_Complex_Ocomplex, all_1183_1, v_q____) =
% 227.19/34.85 | all_1453_1
% 227.19/34.85 |
% 227.19/34.85 | REDUCE: (453), (1301) imply:
% 227.19/34.85 | (1310) c_Polynomial_Osmult(tc_Complex_Ocomplex, all_1183_1, v_q____) =
% 227.19/34.85 | all_1416_0
% 227.19/34.85 |
% 227.19/34.85 | REDUCE: (446), (1300) imply:
% 227.19/34.85 | (1311) c_Polynomial_Osmult(tc_Complex_Ocomplex, all_1183_1, v_q____) =
% 227.19/34.85 | all_1414_5
% 227.19/34.85 |
% 227.19/34.85 | REDUCE: (439), (1299) imply:
% 227.19/34.86 | (1312) c_Polynomial_Osmult(tc_Complex_Ocomplex, all_1183_1, v_q____) =
% 227.19/34.86 | all_1412_3
% 227.19/34.86 |
% 227.19/34.86 | REDUCE: (356), (1273) imply:
% 227.19/34.86 | (1313) c_Polynomial_Osmult(tc_Complex_Ocomplex, all_1183_1, v_q____) =
% 227.19/34.86 | all_1284_2
% 227.19/34.86 |
% 227.19/34.86 | REDUCE: (313), (1298) imply:
% 227.19/34.86 | (1314) c_Polynomial_Osmult(tc_Complex_Ocomplex, all_1183_1, v_q____) =
% 227.19/34.86 | all_1200_1
% 227.19/34.86 |
% 227.19/34.86 | REDUCE: (1154), (1271) imply:
% 227.19/34.86 | (1315) hAPP(all_1006_1, all_1276_3) = all_1459_4
% 227.19/34.86 |
% 227.19/34.86 | REDUCE: (1164), (1289) imply:
% 227.19/34.86 | (1316) hAPP(all_1006_1, all_1276_3) = all_1336_2
% 227.19/34.86 |
% 227.19/34.86 | REDUCE: (384), (1289) imply:
% 227.19/34.86 | (1317) $i(all_1276_3)
% 227.19/34.86 |
% 227.19/34.86 | GROUND_INST: instantiating (152) with all_1276_2, all_1459_4, all_1276_3,
% 227.19/34.86 | all_1006_1, simplifying with (1168), (1315) gives:
% 227.19/34.86 | (1318) all_1459_4 = all_1276_2
% 227.19/34.86 |
% 227.19/34.86 | GROUND_INST: instantiating (152) with all_1336_2, all_1459_4, all_1276_3,
% 227.19/34.86 | all_1006_1, simplifying with (1315), (1316) gives:
% 227.19/34.86 | (1319) all_1459_4 = all_1336_2
% 227.19/34.86 |
% 227.19/34.86 | GROUND_INST: instantiating (158) with all_1284_2, all_1416_0, v_q____,
% 227.19/34.86 | all_1183_1, tc_Complex_Ocomplex, simplifying with (1310), (1313)
% 227.19/34.86 | gives:
% 227.19/34.86 | (1320) all_1416_0 = all_1284_2
% 227.19/34.86 |
% 227.19/34.86 | GROUND_INST: instantiating (158) with all_1416_0, all_1453_1, v_q____,
% 227.19/34.86 | all_1183_1, tc_Complex_Ocomplex, simplifying with (1309), (1310)
% 227.19/34.86 | gives:
% 227.19/34.86 | (1321) all_1453_1 = all_1416_0
% 227.19/34.86 |
% 227.19/34.86 | GROUND_INST: instantiating (158) with all_1200_1, all_1453_1, v_q____,
% 227.19/34.86 | all_1183_1, tc_Complex_Ocomplex, simplifying with (1309), (1314)
% 227.19/34.86 | gives:
% 227.19/34.86 | (1322) all_1453_1 = all_1200_1
% 227.19/34.86 |
% 227.19/34.86 | GROUND_INST: instantiating (158) with all_1183_0, all_1571_6, v_q____,
% 227.19/34.86 | all_1183_1, tc_Complex_Ocomplex, simplifying with (304), (1308)
% 227.19/34.86 | gives:
% 227.19/34.86 | (1323) all_1571_6 = all_1183_0
% 227.19/34.86 |
% 227.19/34.86 | GROUND_INST: instantiating (158) with all_1416_0, all_1571_6, v_q____,
% 227.19/34.86 | all_1183_1, tc_Complex_Ocomplex, simplifying with (1308), (1310)
% 227.19/34.86 | gives:
% 227.19/34.86 | (1324) all_1571_6 = all_1416_0
% 227.19/34.86 |
% 227.19/34.86 | GROUND_INST: instantiating (158) with all_1416_0, all_1597_3, v_q____,
% 227.19/34.86 | all_1183_1, tc_Complex_Ocomplex, simplifying with (1307), (1310)
% 227.19/34.86 | gives:
% 227.19/34.86 | (1325) all_1597_3 = all_1416_0
% 227.19/34.86 |
% 227.19/34.86 | GROUND_INST: instantiating (158) with all_1412_3, all_1597_3, v_q____,
% 227.19/34.86 | all_1183_1, tc_Complex_Ocomplex, simplifying with (1307), (1312)
% 227.19/34.86 | gives:
% 227.19/34.86 | (1326) all_1597_3 = all_1412_3
% 227.19/34.86 |
% 227.19/34.86 | GROUND_INST: instantiating (158) with all_1571_6, all_1606_12, v_q____,
% 227.19/34.86 | all_1183_1, tc_Complex_Ocomplex, simplifying with (1306), (1308)
% 227.19/34.86 | gives:
% 227.19/34.86 | (1327) all_1606_12 = all_1571_6
% 227.19/34.86 |
% 227.19/34.86 | GROUND_INST: instantiating (158) with all_1414_5, all_1606_12, v_q____,
% 227.19/34.86 | all_1183_1, tc_Complex_Ocomplex, simplifying with (1306), (1311)
% 227.19/34.86 | gives:
% 227.19/34.86 | (1328) all_1606_12 = all_1414_5
% 227.19/34.86 |
% 227.19/34.86 | COMBINE_EQS: (1327), (1328) imply:
% 227.19/34.86 | (1329) all_1571_6 = all_1414_5
% 227.19/34.86 |
% 227.19/34.86 | SIMP: (1329) implies:
% 227.19/34.86 | (1330) all_1571_6 = all_1414_5
% 227.19/34.86 |
% 227.19/34.86 | COMBINE_EQS: (1325), (1326) imply:
% 227.19/34.86 | (1331) all_1416_0 = all_1412_3
% 227.19/34.86 |
% 227.19/34.86 | SIMP: (1331) implies:
% 227.19/34.86 | (1332) all_1416_0 = all_1412_3
% 227.19/34.86 |
% 227.19/34.86 | COMBINE_EQS: (1324), (1330) imply:
% 227.19/34.86 | (1333) all_1416_0 = all_1414_5
% 227.19/34.86 |
% 227.19/34.86 | SIMP: (1333) implies:
% 227.19/34.86 | (1334) all_1416_0 = all_1414_5
% 227.19/34.86 |
% 227.19/34.86 | COMBINE_EQS: (1323), (1330) imply:
% 227.19/34.86 | (1335) all_1414_5 = all_1183_0
% 227.19/34.86 |
% 227.19/34.86 | COMBINE_EQS: (1318), (1319) imply:
% 227.19/34.86 | (1336) all_1336_2 = all_1276_2
% 227.19/34.86 |
% 227.19/34.86 | SIMP: (1336) implies:
% 227.19/34.86 | (1337) all_1336_2 = all_1276_2
% 227.19/34.86 |
% 227.19/34.86 | COMBINE_EQS: (1321), (1322) imply:
% 227.19/34.86 | (1338) all_1416_0 = all_1200_1
% 227.19/34.86 |
% 227.19/34.86 | SIMP: (1338) implies:
% 227.19/34.86 | (1339) all_1416_0 = all_1200_1
% 227.19/34.86 |
% 227.19/34.86 | COMBINE_EQS: (1332), (1339) imply:
% 227.19/34.86 | (1340) all_1412_3 = all_1200_1
% 227.19/34.86 |
% 227.19/34.86 | COMBINE_EQS: (1320), (1332) imply:
% 227.19/34.86 | (1341) all_1412_3 = all_1284_2
% 227.19/34.86 |
% 227.19/34.86 | COMBINE_EQS: (1332), (1334) imply:
% 227.19/34.86 | (1342) all_1414_5 = all_1412_3
% 227.19/34.86 |
% 227.19/34.86 | SIMP: (1342) implies:
% 227.19/34.86 | (1343) all_1414_5 = all_1412_3
% 227.19/34.86 |
% 227.19/34.86 | COMBINE_EQS: (1335), (1343) imply:
% 227.19/34.86 | (1344) all_1412_3 = all_1183_0
% 227.19/34.86 |
% 227.19/34.86 | SIMP: (1344) implies:
% 227.19/34.86 | (1345) all_1412_3 = all_1183_0
% 227.19/34.86 |
% 227.19/34.86 | COMBINE_EQS: (1341), (1345) imply:
% 227.19/34.86 | (1346) all_1284_2 = all_1183_0
% 227.19/34.86 |
% 227.19/34.86 | COMBINE_EQS: (1340), (1341) imply:
% 227.19/34.86 | (1347) all_1284_2 = all_1200_1
% 227.19/34.86 |
% 227.19/34.86 | COMBINE_EQS: (1346), (1347) imply:
% 227.19/34.86 | (1348) all_1200_1 = all_1183_0
% 227.19/34.86 |
% 227.19/34.86 | SIMP: (1348) implies:
% 227.19/34.86 | (1349) all_1200_1 = all_1183_0
% 227.19/34.86 |
% 227.19/34.86 | COMBINE_EQS: (1322), (1349) imply:
% 227.19/34.86 | (1350) all_1453_1 = all_1183_0
% 227.19/34.86 |
% 227.19/34.86 | COMBINE_EQS: (1326), (1345) imply:
% 227.19/34.86 | (1351) all_1597_3 = all_1183_0
% 227.19/34.86 |
% 227.19/34.86 | COMBINE_EQS: (1328), (1335) imply:
% 227.19/34.86 | (1352) all_1606_12 = all_1183_0
% 227.19/34.86 |
% 227.19/34.86 | REDUCE: (565), (1352) imply:
% 227.19/34.86 | (1353) c_Polynomial_Opoly(tc_Complex_Ocomplex, all_1183_0) = all_1606_10
% 227.19/34.86 |
% 227.19/34.86 | REDUCE: (554), (1351) imply:
% 227.19/34.86 | (1354) c_Polynomial_Opoly(tc_Complex_Ocomplex, all_1183_0) = all_1597_2
% 227.19/34.86 |
% 227.19/34.86 | REDUCE: (546), (1323) imply:
% 227.19/34.86 | (1355) c_Polynomial_Opoly(tc_Complex_Ocomplex, all_1183_0) = all_1571_5
% 227.19/34.86 |
% 227.19/34.86 | REDUCE: (470), (1350) imply:
% 227.19/34.86 | (1356) c_Polynomial_Opoly(tc_Complex_Ocomplex, all_1183_0) = all_1453_0
% 227.19/34.86 |
% 227.19/34.86 | REDUCE: (445), (1335) imply:
% 227.19/34.86 | (1357) c_Polynomial_Opoly(tc_Complex_Ocomplex, all_1183_0) = all_1414_4
% 227.19/34.86 |
% 227.19/34.86 | REDUCE: (438), (1345) imply:
% 227.19/34.86 | (1358) c_Polynomial_Opoly(tc_Complex_Ocomplex, all_1183_0) = all_1412_2
% 227.19/34.86 |
% 227.19/34.86 | REDUCE: (355), (1346) imply:
% 227.19/34.86 | (1359) c_Polynomial_Opoly(tc_Complex_Ocomplex, all_1183_0) = all_1284_1
% 227.19/34.86 |
% 227.19/34.86 | REDUCE: (312), (1349) imply:
% 227.19/34.86 | (1360) c_Polynomial_Opoly(tc_Complex_Ocomplex, all_1183_0) = all_1200_0
% 227.19/34.86 |
% 227.19/34.86 | REDUCE: (476), (1318) imply:
% 227.19/34.86 | (1361) hAPP(all_1276_2, v_a____) = all_1459_3
% 227.19/34.86 |
% 227.19/34.86 | REDUCE: (388), (1337) imply:
% 227.19/34.86 | (1362) hAPP(all_1276_2, v_a____) = all_1336_1
% 227.19/34.86 |
% 227.19/34.86 | GROUND_INST: instantiating (152) with all_1018_1, all_1459_3, v_a____,
% 227.19/34.86 | all_1276_2, simplifying with (1267), (1361) gives:
% 227.19/34.86 | (1363) all_1459_3 = all_1018_1
% 227.19/34.86 |
% 227.19/34.86 | GROUND_INST: instantiating (152) with all_1336_1, all_1459_3, v_a____,
% 227.19/34.86 | all_1276_2, simplifying with (1361), (1362) gives:
% 227.19/34.86 | (1364) all_1459_3 = all_1336_1
% 227.19/34.86 |
% 227.19/34.86 | GROUND_INST: instantiating (155) with all_1284_1, all_1414_4, all_1183_0,
% 227.19/34.86 | tc_Complex_Ocomplex, simplifying with (1357), (1359) gives:
% 227.19/34.86 | (1365) all_1414_4 = all_1284_1
% 227.19/34.86 |
% 227.19/34.86 | GROUND_INST: instantiating (155) with all_1414_4, all_1453_0, all_1183_0,
% 227.19/34.86 | tc_Complex_Ocomplex, simplifying with (1356), (1357) gives:
% 227.19/34.86 | (1366) all_1453_0 = all_1414_4
% 227.19/34.86 |
% 227.19/34.86 | GROUND_INST: instantiating (155) with all_1412_2, all_1453_0, all_1183_0,
% 227.19/34.86 | tc_Complex_Ocomplex, simplifying with (1356), (1358) gives:
% 227.19/34.86 | (1367) all_1453_0 = all_1412_2
% 227.19/34.86 |
% 227.19/34.86 | GROUND_INST: instantiating (155) with all_1414_4, all_1571_5, all_1183_0,
% 227.19/34.86 | tc_Complex_Ocomplex, simplifying with (1355), (1357) gives:
% 227.19/34.86 | (1368) all_1571_5 = all_1414_4
% 227.19/34.86 |
% 227.19/34.86 | GROUND_INST: instantiating (155) with all_1571_5, all_1597_2, all_1183_0,
% 227.19/34.86 | tc_Complex_Ocomplex, simplifying with (1354), (1355) gives:
% 227.19/34.86 | (1369) all_1597_2 = all_1571_5
% 227.19/34.86 |
% 227.19/34.86 | GROUND_INST: instantiating (155) with all_1597_2, all_1606_10, all_1183_0,
% 227.19/34.86 | tc_Complex_Ocomplex, simplifying with (1353), (1354) gives:
% 227.19/34.86 | (1370) all_1606_10 = all_1597_2
% 227.19/34.86 |
% 227.19/34.86 | GROUND_INST: instantiating (155) with all_1200_0, all_1606_10, all_1183_0,
% 227.19/34.86 | tc_Complex_Ocomplex, simplifying with (1353), (1360) gives:
% 227.19/34.86 | (1371) all_1606_10 = all_1200_0
% 227.19/34.86 |
% 227.19/34.86 | COMBINE_EQS: (1370), (1371) imply:
% 227.19/34.86 | (1372) all_1597_2 = all_1200_0
% 227.19/34.86 |
% 227.19/34.86 | SIMP: (1372) implies:
% 227.19/34.86 | (1373) all_1597_2 = all_1200_0
% 227.19/34.86 |
% 227.19/34.86 | COMBINE_EQS: (1369), (1373) imply:
% 227.19/34.86 | (1374) all_1571_5 = all_1200_0
% 227.19/34.86 |
% 227.19/34.86 | SIMP: (1374) implies:
% 227.19/34.86 | (1375) all_1571_5 = all_1200_0
% 227.19/34.86 |
% 227.19/34.86 | COMBINE_EQS: (1368), (1375) imply:
% 227.19/34.86 | (1376) all_1414_4 = all_1200_0
% 227.19/34.86 |
% 227.19/34.86 | SIMP: (1376) implies:
% 227.19/34.86 | (1377) all_1414_4 = all_1200_0
% 227.19/34.86 |
% 227.19/34.86 | COMBINE_EQS: (1363), (1364) imply:
% 227.19/34.86 | (1378) all_1336_1 = all_1018_1
% 227.19/34.86 |
% 227.19/34.86 | COMBINE_EQS: (1366), (1367) imply:
% 227.19/34.86 | (1379) all_1414_4 = all_1412_2
% 227.19/34.86 |
% 227.19/34.86 | SIMP: (1379) implies:
% 227.19/34.86 | (1380) all_1414_4 = all_1412_2
% 227.19/34.86 |
% 227.19/34.86 | COMBINE_EQS: (1377), (1380) imply:
% 227.19/34.86 | (1381) all_1412_2 = all_1200_0
% 227.19/34.86 |
% 227.19/34.86 | COMBINE_EQS: (1365), (1380) imply:
% 227.19/34.86 | (1382) all_1412_2 = all_1284_1
% 227.19/34.86 |
% 227.19/34.86 | COMBINE_EQS: (1381), (1382) imply:
% 227.19/34.86 | (1383) all_1284_1 = all_1200_0
% 227.19/34.86 |
% 227.19/34.86 | REDUCE: (1146), (1371) imply:
% 227.19/34.86 | (1384) hAPP(all_1200_0, all_749_0) = all_1606_9
% 227.19/34.86 |
% 227.19/34.86 | REDUCE: (1149), (1375) imply:
% 227.19/34.86 | (1385) hAPP(all_1200_0, all_749_0) = all_1571_4
% 227.19/34.86 |
% 227.19/34.86 | REDUCE: (1158), (1381) imply:
% 227.19/34.86 | (1386) hAPP(all_1200_0, all_749_0) = all_1412_1
% 227.19/34.86 |
% 227.19/34.86 | REDUCE: (1165), (1383) imply:
% 227.19/34.86 | (1387) hAPP(all_1200_0, all_749_0) = all_745_0
% 227.19/34.86 |
% 227.19/34.86 | GROUND_INST: instantiating (152) with all_1412_1, all_1571_4, all_749_0,
% 227.19/34.86 | all_1200_0, simplifying with (1385), (1386) gives:
% 227.19/34.86 | (1388) all_1571_4 = all_1412_1
% 227.19/34.86 |
% 227.19/34.86 | GROUND_INST: instantiating (152) with all_1571_4, all_1606_9, all_749_0,
% 227.19/34.86 | all_1200_0, simplifying with (1384), (1385) gives:
% 227.19/34.86 | (1389) all_1606_9 = all_1571_4
% 227.19/34.86 |
% 227.19/34.86 | GROUND_INST: instantiating (152) with all_745_0, all_1606_9, all_749_0,
% 227.19/34.86 | all_1200_0, simplifying with (1384), (1387) gives:
% 227.19/34.86 | (1390) all_1606_9 = all_745_0
% 227.19/34.86 |
% 227.19/34.86 | COMBINE_EQS: (1389), (1390) imply:
% 227.19/34.86 | (1391) all_1571_4 = all_745_0
% 227.19/34.86 |
% 227.19/34.86 | SIMP: (1391) implies:
% 227.19/34.86 | (1392) all_1571_4 = all_745_0
% 227.19/34.86 |
% 227.19/34.86 | COMBINE_EQS: (1388), (1392) imply:
% 227.19/34.86 | (1393) all_1412_1 = all_745_0
% 227.19/34.86 |
% 227.19/34.86 | SIMP: (1393) implies:
% 227.19/34.86 | (1394) all_1412_1 = all_745_0
% 227.19/34.86 |
% 227.19/34.86 | REDUCE: (1159), (1394) imply:
% 227.19/34.86 | (1395) hAPP(all_1006_1, all_745_0) = all_1412_0
% 227.19/34.86 |
% 227.19/34.86 | REDUCE: (429), (1394) imply:
% 227.19/34.86 | (1396) $i(all_745_0)
% 227.19/34.86 |
% 227.19/34.86 | GROUND_INST: instantiating (324) with v_w____, tc_Complex_Ocomplex, all_819_0,
% 227.19/34.86 | simplifying with (134), (144), (145), (184) gives:
% 227.19/34.86 | (1397) ? [v0: $i] : (( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.19/34.86 | all_1229_0, all_819_0) | ( ~ (v0 = v_w____) &
% 227.19/34.86 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0 &
% 227.19/34.86 | $i(v0))) & (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.19/34.86 | all_1229_0, all_819_0) | (v0 = v_w____ &
% 227.19/34.86 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v_w____)))
% 227.19/34.86 |
% 227.19/34.86 | GROUND_INST: instantiating (fact_zero__le__one) with tc_RealDef_Oreal,
% 227.19/34.86 | all_857_0, simplifying with (123), (142), (189) gives:
% 227.19/34.86 | (1398) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 227.19/34.86 | $i(v0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 227.19/34.86 | all_857_0))
% 227.19/34.86 |
% 227.19/34.86 | GROUND_INST: instantiating (fact_not__one__le__zero) with tc_RealDef_Oreal,
% 227.19/34.86 | all_857_0, simplifying with (123), (142), (189) gives:
% 227.19/34.86 | (1399) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 227.19/34.86 | $i(v0) & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 227.19/34.86 | all_857_0, v0))
% 227.19/34.86 |
% 227.19/34.86 | GROUND_INST: instantiating (fact_not__one__less__zero) with tc_RealDef_Oreal,
% 227.19/34.86 | all_857_0, simplifying with (123), (142), (189) gives:
% 227.19/34.86 | (1400) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 227.19/34.86 | $i(v0) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.19/34.86 | all_857_0, v0))
% 227.19/34.86 |
% 227.19/34.86 | GROUND_INST: instantiating (fact_zero__neq__one) with tc_Complex_Ocomplex,
% 227.19/34.86 | all_745_0, simplifying with (138), (144), (162) gives:
% 227.19/34.86 | (1401) ? [v0: any] : ( ~ (v0 = all_745_0) &
% 227.19/34.86 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0 & $i(v0))
% 227.19/34.86 |
% 227.19/34.86 | GROUND_INST: instantiating (fact_field__power__not__zero) with all_928_0,
% 227.19/34.86 | all_819_0, tc_RealDef_Oreal, all_1347_0, all_1503_6, all_1503_3,
% 227.19/34.86 | simplifying with (118), (142), (398), (1151), (1177), (1263),
% 227.19/34.86 | (1270) gives:
% 227.19/34.86 | (1402) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 227.19/34.86 | $i(v0) & ( ~ (v0 = all_1503_3) | all_1503_3 = all_819_0))
% 227.19/34.86 |
% 227.19/34.86 | GROUND_INST: instantiating (457) with all_928_0, all_819_0, tc_RealDef_Oreal,
% 227.19/34.86 | all_1347_0, all_1503_6, all_1503_3, simplifying with (125),
% 227.19/34.86 | (127), (130), (131), (142), (398), (1151), (1177), (1263), (1270)
% 227.19/34.86 | gives:
% 227.19/34.86 | (1403) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 227.19/34.86 | $i(v0) & ( ~ (v0 = all_1503_3) | (all_1503_3 = all_819_0 & ~
% 227.19/34.86 | (all_1430_0 = all_928_0))) & ( ~ (v0 = all_819_0) | all_1503_3
% 227.19/34.86 | = all_819_0 | all_1430_0 = all_928_0))
% 227.19/34.86 |
% 227.19/34.86 | GROUND_INST: instantiating (fact_zero__le__power) with all_928_0, all_819_0,
% 227.19/34.86 | tc_RealDef_Oreal, all_1347_0, all_1503_6, all_1503_3, simplifying
% 227.19/34.86 | with (123), (142), (398), (1151), (1177), (1263), (1270) gives:
% 227.19/34.86 | (1404) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 227.19/34.86 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 227.19/34.86 | v0, all_819_0) |
% 227.19/34.86 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 227.19/34.86 | all_1503_3)))
% 227.19/34.86 |
% 227.19/34.86 | GROUND_INST: instantiating (fact_zero__less__power) with all_928_0, all_819_0,
% 227.19/34.86 | tc_RealDef_Oreal, all_1347_0, all_1503_6, all_1503_3, simplifying
% 227.19/34.86 | with (123), (142), (398), (1151), (1177), (1263), (1270) gives:
% 227.19/34.86 | (1405) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 227.19/34.86 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 227.19/34.86 | all_819_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.19/34.86 | v0, all_1503_3)))
% 227.19/34.86 |
% 227.19/34.86 | GROUND_INST: instantiating (fact_field__power__not__zero) with v_k____,
% 227.19/34.86 | all_1395_4, tc_Complex_Ocomplex, all_1276_5, all_1395_3,
% 227.19/34.86 | all_1395_2, simplifying with (133), (144), (146), (340), (416),
% 227.19/34.86 | (420), (1161) gives:
% 227.19/34.86 | (1406) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0
% 227.19/34.86 | & $i(v0) & ( ~ (v0 = all_1395_2) | all_1395_2 = all_1395_4))
% 227.19/34.86 |
% 227.19/34.86 | GROUND_INST: instantiating (457) with v_k____, all_1395_4,
% 227.19/34.86 | tc_Complex_Ocomplex, all_1276_5, all_1395_3, all_1395_2,
% 227.19/34.86 | simplifying with (136), (138), (140), (141), (144), (146), (340),
% 227.19/34.86 | (416), (420), (1161) gives:
% 227.19/34.86 | (1407) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0
% 227.19/34.86 | & $i(v0) & ( ~ (v0 = all_1395_2) | (all_1395_2 = all_1395_4 & ~
% 227.19/34.86 | (all_1430_0 = v_k____))) & ( ~ (v0 = all_1395_4) | all_1430_0
% 227.19/34.86 | = v_k____ | all_1395_2 = all_1395_4))
% 227.19/34.86 |
% 227.19/34.86 | GROUND_INST: instantiating (fact_field__power__not__zero) with v_k____,
% 227.19/34.86 | v_w____, tc_Complex_Ocomplex, all_1276_5, all_1276_4, all_1276_3,
% 227.19/34.86 | simplifying with (133), (144), (145), (146), (336), (337), (340)
% 227.19/34.86 | gives:
% 227.19/34.86 | (1408) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0
% 227.19/34.86 | & $i(v0) & ( ~ (v0 = all_1276_3) | all_1276_3 = v_w____))
% 227.19/34.86 |
% 227.19/34.86 | GROUND_INST: instantiating (457) with v_k____, v_w____, tc_Complex_Ocomplex,
% 227.19/34.86 | all_1276_5, all_1276_4, all_1276_3, simplifying with (136),
% 227.19/34.86 | (138), (140), (141), (144), (145), (146), (336), (337), (340)
% 227.19/34.86 | gives:
% 227.19/34.86 | (1409) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0
% 227.19/34.86 | & $i(v0) & ( ~ (v0 = all_1276_3) | (all_1276_3 = v_w____ & ~
% 227.19/34.86 | (all_1430_0 = v_k____))) & ( ~ (v0 = v_w____) | all_1430_0 =
% 227.19/34.86 | v_k____ | all_1276_3 = v_w____))
% 227.19/34.86 |
% 227.19/34.86 | GROUND_INST: instantiating (fact_mult__pos__neg2) with all_1503_3, v_m____,
% 227.19/34.86 | tc_RealDef_Oreal, all_1020_2, all_1503_2, all_1503_1, simplifying
% 227.19/34.86 | with (116), (142), (143), (241), (494), (499), (1152) gives:
% 227.19/34.87 | (1410) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 227.19/34.87 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 227.19/34.87 | v_m____) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.19/34.87 | all_1503_3, v0) |
% 227.19/34.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1503_1,
% 227.19/34.87 | v0)))
% 227.19/34.87 |
% 227.19/34.87 | GROUND_INST: instantiating (fact_zero__less__mult__pos2) with v_m____,
% 227.19/34.87 | all_1503_3, tc_RealDef_Oreal, all_1020_2, all_1503_2, all_1503_1,
% 227.19/34.87 | simplifying with (116), (142), (143), (241), (494), (499), (1152)
% 227.19/34.87 | gives:
% 227.19/34.87 | (1411) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 227.19/34.87 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 227.19/34.87 | all_1503_1) | ~
% 227.19/34.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v_m____) |
% 227.19/34.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 227.19/34.87 | all_1503_3)))
% 227.19/34.87 |
% 227.19/34.87 | GROUND_INST: instantiating (fact_mult__pos__pos) with v_m____, all_1503_3,
% 227.19/34.87 | tc_RealDef_Oreal, all_1020_2, all_1503_2, all_1503_1, simplifying
% 227.19/34.87 | with (116), (142), (143), (241), (494), (499), (1152) gives:
% 227.19/34.87 | (1412) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 227.19/34.87 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 227.19/34.87 | all_1503_3) | ~
% 227.19/34.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v_m____) |
% 227.19/34.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 227.19/34.87 | all_1503_1)))
% 227.19/34.87 |
% 227.19/34.87 | GROUND_INST: instantiating (fact_mult__pos__neg) with v_m____, all_1503_3,
% 227.19/34.87 | tc_RealDef_Oreal, all_1020_2, all_1503_2, all_1503_1, simplifying
% 227.19/34.87 | with (116), (142), (143), (241), (494), (499), (1152) gives:
% 227.19/34.87 | (1413) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 227.19/34.87 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 227.19/34.87 | all_1503_3) | ~
% 227.19/34.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_m____, v0) |
% 227.19/34.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1503_1,
% 227.19/34.87 | v0)))
% 227.19/34.87 |
% 227.19/34.87 | GROUND_INST: instantiating (fact_mult__nonneg__nonpos2) with all_1503_3,
% 227.19/34.87 | v_m____, tc_RealDef_Oreal, all_1020_2, all_1503_2, all_1503_1,
% 227.19/34.87 | simplifying with (119), (142), (143), (241), (494), (499), (1152)
% 227.19/34.87 | gives:
% 227.19/34.87 | (1414) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 227.19/34.87 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 227.19/34.87 | v0, v_m____) | ~
% 227.19/34.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1503_3,
% 227.19/34.87 | v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 227.19/34.87 | all_1503_1, v0)))
% 227.19/34.87 |
% 227.19/34.87 | GROUND_INST: instantiating (fact_mult__nonneg__nonneg) with v_m____,
% 227.19/34.87 | all_1503_3, tc_RealDef_Oreal, all_1020_2, all_1503_2, all_1503_1,
% 227.19/34.87 | simplifying with (119), (142), (143), (241), (494), (499), (1152)
% 227.19/34.87 | gives:
% 227.19/34.87 | (1415) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 227.19/34.87 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 227.19/34.87 | v0, all_1503_3) | ~
% 227.19/34.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v_m____)
% 227.19/34.87 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 227.19/34.87 | all_1503_1)))
% 227.19/34.87 |
% 227.19/34.87 | GROUND_INST: instantiating (fact_mult__nonneg__nonpos) with v_m____,
% 227.19/34.87 | all_1503_3, tc_RealDef_Oreal, all_1020_2, all_1503_2, all_1503_1,
% 227.19/34.87 | simplifying with (119), (142), (143), (241), (494), (499), (1152)
% 227.19/34.87 | gives:
% 227.19/34.87 | (1416) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 227.19/34.87 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 227.19/34.87 | v0, all_1503_3) | ~
% 227.19/34.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____, v0)
% 227.19/34.87 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 227.19/34.87 | all_1503_1, v0)))
% 227.19/34.87 |
% 227.19/34.87 | GROUND_INST: instantiating (fact_split__mult__neg__le) with v_m____,
% 227.19/34.87 | all_1503_3, tc_RealDef_Oreal, all_1020_2, all_1503_2, all_1503_1,
% 227.19/34.87 | simplifying with (119), (142), (143), (241), (494), (499), (1152)
% 227.19/34.87 | gives:
% 227.19/34.87 | (1417) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 227.19/34.87 | $i(v0) & (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 227.19/34.87 | all_1503_1, v0) | (( ~
% 227.19/34.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 227.19/34.87 | all_1503_3) | ~
% 227.19/34.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 227.19/34.87 | v0)) & ( ~
% 227.19/34.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 227.19/34.87 | v_m____) | ~
% 227.19/34.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 227.19/34.87 | all_1503_3, v0)))))
% 227.19/34.87 |
% 227.19/34.87 | GROUND_INST: instantiating (fact_mult__eq__0__iff) with v_m____, all_1503_3,
% 227.19/34.87 | tc_RealDef_Oreal, all_1020_2, all_1503_2, all_1503_1, simplifying
% 227.19/34.87 | with (121), (142), (143), (241), (494), (499), (1152) gives:
% 227.19/34.87 | (1418) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 227.19/34.87 | $i(v0) & ( ~ (v0 = all_1503_1) | all_1503_1 = all_1503_3 |
% 227.19/34.87 | all_1503_1 = v_m____) & (v0 = all_1503_1 | ( ~ (v0 = all_1503_3)
% 227.19/34.87 | & ~ (v0 = v_m____))))
% 227.19/34.87 |
% 227.19/34.87 | GROUND_INST: instantiating (fact_no__zero__divisors) with v_m____, all_1503_3,
% 227.19/34.87 | tc_RealDef_Oreal, all_1020_2, all_1503_2, all_1503_1, simplifying
% 227.19/34.87 | with (125), (142), (143), (241), (494), (499), (1152) gives:
% 227.19/34.87 | (1419) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 227.19/34.87 | $i(v0) & ( ~ (v0 = all_1503_1) | all_1503_1 = all_1503_3 |
% 227.19/34.87 | all_1503_1 = v_m____))
% 227.19/34.87 |
% 227.19/34.87 | GROUND_INST: instantiating (fact_zero__le__mult__iff) with v_m____,
% 227.19/34.87 | all_1503_3, tc_RealDef_Oreal, all_1020_2, all_1503_2, all_1503_1,
% 227.19/34.87 | simplifying with (120), (142), (143), (241), (494), (499), (1152)
% 227.19/34.87 | gives:
% 227.19/34.87 | (1420) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 227.19/34.87 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 227.19/34.87 | v0, all_1503_1) |
% 227.19/34.87 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 227.19/34.87 | all_1503_3) &
% 227.19/34.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 227.19/34.87 | v_m____)) |
% 227.19/34.87 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1503_3,
% 227.19/34.87 | v0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 227.19/34.87 | v_m____, v0))) &
% 227.19/34.87 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 227.19/34.87 | all_1503_1) | (( ~
% 227.19/34.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 227.19/34.87 | all_1503_3) | ~
% 227.19/34.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 227.19/34.87 | v_m____)) & ( ~
% 227.19/34.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 227.19/34.87 | all_1503_3, v0) | ~
% 227.19/34.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 227.19/34.87 | v0)))))
% 227.19/34.87 |
% 227.19/34.87 | GROUND_INST: instantiating (fact_mult__le__0__iff) with v_m____, all_1503_3,
% 227.19/34.87 | tc_RealDef_Oreal, all_1020_2, all_1503_2, all_1503_1, simplifying
% 227.19/34.87 | with (120), (142), (143), (241), (494), (499), (1152) gives:
% 227.19/34.87 | (1421) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 227.19/34.87 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 227.19/34.87 | all_1503_1, v0) |
% 227.19/34.87 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 227.19/34.87 | all_1503_3) &
% 227.19/34.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 227.19/34.87 | v0)) | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 227.19/34.87 | v0, v_m____) &
% 227.19/34.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 227.19/34.87 | all_1503_3, v0))) &
% 227.19/34.87 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1503_1,
% 227.19/34.87 | v0) | (( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 227.19/34.87 | v0, all_1503_3) | ~
% 227.19/34.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 227.19/34.87 | v0)) & ( ~
% 227.19/34.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 227.19/34.87 | v_m____) | ~
% 227.19/34.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 227.19/34.87 | all_1503_3, v0)))))
% 227.19/34.87 |
% 227.19/34.87 | GROUND_INST: instantiating (fact_mult__neg__neg) with v_m____, all_1503_3,
% 227.19/34.87 | tc_RealDef_Oreal, all_1020_2, all_1503_2, all_1503_1, simplifying
% 227.19/34.87 | with (120), (142), (143), (241), (494), (499), (1152) gives:
% 227.19/34.87 | (1422) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 227.19/34.87 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.19/34.87 | all_1503_3, v0) | ~
% 227.19/34.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_m____, v0) |
% 227.19/34.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 227.19/34.87 | all_1503_1)))
% 227.19/34.87 |
% 227.19/34.87 | GROUND_INST: instantiating (fact_mult__nonpos__nonpos) with v_m____,
% 227.19/34.87 | all_1503_3, tc_RealDef_Oreal, all_1020_2, all_1503_2, all_1503_1,
% 227.19/34.87 | simplifying with (128), (142), (143), (241), (494), (499), (1152)
% 227.19/34.87 | gives:
% 227.19/34.87 | (1423) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 227.19/34.87 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 227.19/34.87 | all_1503_3, v0) | ~
% 227.19/34.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____, v0)
% 227.19/34.87 | | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 227.19/34.87 | all_1503_1)))
% 227.19/34.87 |
% 227.19/34.87 | GROUND_INST: instantiating (fact_split__mult__pos__le) with v_m____,
% 227.19/34.87 | all_1503_3, tc_RealDef_Oreal, all_1020_2, all_1503_2, all_1503_1,
% 227.19/34.87 | simplifying with (128), (142), (143), (241), (494), (499), (1152)
% 227.19/34.87 | gives:
% 227.19/34.87 | (1424) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 227.19/34.87 | $i(v0) & (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 227.19/34.87 | all_1503_1) | (( ~
% 227.19/34.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 227.19/34.87 | all_1503_3) | ~
% 227.19/34.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 227.19/34.87 | v_m____)) & ( ~
% 227.19/34.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 227.19/34.87 | all_1503_3, v0) | ~
% 227.19/34.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 227.19/34.87 | v0)))))
% 227.19/34.87 |
% 227.19/34.87 | GROUND_INST: instantiating (fact_mult__eq__0__iff) with all_960_1, all_745_0,
% 227.19/34.87 | tc_Complex_Ocomplex, all_1006_1, all_1412_0, all_960_1,
% 227.19/34.87 | simplifying with (135), (144), (232), (1265), (1269), (1395),
% 227.19/34.87 | (1396) gives:
% 227.19/34.87 | (1425) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0
% 227.19/34.87 | & $i(v0) & ( ~ (v0 = all_745_0) | all_960_1 = all_745_0))
% 227.19/34.87 |
% 227.19/34.87 | GROUND_INST: instantiating (fact_mult__eq__0__iff) with v_a____, all_1395_2,
% 227.19/34.87 | tc_Complex_Ocomplex, all_1006_1, all_1395_1, all_1395_0,
% 227.19/34.87 | simplifying with (87), (135), (144), (232), (417), (421), (1162)
% 227.19/34.87 | gives:
% 227.19/34.87 | (1426) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0
% 227.19/34.87 | & $i(v0) & ( ~ (v0 = all_1395_0) | all_1395_0 = all_1395_2 |
% 227.19/34.87 | all_1395_0 = v_a____) & (v0 = all_1395_0 | ( ~ (v0 = all_1395_2)
% 227.19/34.87 | & ~ (v0 = v_a____))))
% 227.19/34.87 |
% 227.19/34.87 | GROUND_INST: instantiating (fact_no__zero__divisors) with v_a____, all_1395_2,
% 227.19/34.87 | tc_Complex_Ocomplex, all_1006_1, all_1395_1, all_1395_0,
% 227.19/34.87 | simplifying with (87), (136), (144), (232), (417), (421), (1162)
% 227.19/34.87 | gives:
% 227.19/34.87 | (1427) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0
% 227.19/34.87 | & $i(v0) & ( ~ (v0 = all_1395_0) | all_1395_0 = all_1395_2 |
% 227.19/34.87 | all_1395_0 = v_a____))
% 227.19/34.87 |
% 227.19/34.87 | GROUND_INST: instantiating (fact_mult__eq__0__iff) with v_a____, all_1276_3,
% 227.19/34.87 | tc_Complex_Ocomplex, all_1006_1, all_1276_2, all_1018_1,
% 227.19/34.87 | simplifying with (87), (135), (144), (232), (1168), (1267),
% 227.19/34.87 | (1317) gives:
% 227.19/34.87 | (1428) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0
% 227.19/34.87 | & $i(v0) & ( ~ (v0 = all_1018_1) | all_1276_3 = all_1018_1 |
% 227.19/34.87 | all_1018_1 = v_a____) & (v0 = all_1018_1 | ( ~ (v0 = all_1276_3)
% 227.19/34.87 | & ~ (v0 = v_a____))))
% 227.19/34.87 |
% 227.19/34.87 | GROUND_INST: instantiating (fact_no__zero__divisors) with v_a____, all_1276_3,
% 227.19/34.87 | tc_Complex_Ocomplex, all_1006_1, all_1276_2, all_1018_1,
% 227.19/34.87 | simplifying with (87), (136), (144), (232), (1168), (1267),
% 227.19/34.87 | (1317) gives:
% 227.19/34.87 | (1429) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0
% 227.19/34.87 | & $i(v0) & ( ~ (v0 = all_1018_1) | all_1276_3 = all_1018_1 |
% 227.19/34.87 | all_1018_1 = v_a____))
% 227.19/34.87 |
% 227.19/34.87 | GROUND_INST: instantiating (fact_mult__eq__0__iff) with c_Complex_Oii,
% 227.19/34.87 | c_Complex_Oii, tc_Complex_Ocomplex, all_1006_1, all_1006_0,
% 227.19/34.87 | all_1018_1, simplifying with (94), (135), (144), (231), (232),
% 227.19/34.87 | (1268) gives:
% 227.19/34.87 | (1430) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0
% 227.19/34.87 | & $i(v0) & ( ~ (v0 = all_1018_1) | all_1018_1 = c_Complex_Oii) & (
% 227.19/34.87 | ~ (v0 = c_Complex_Oii) | all_1018_1 = c_Complex_Oii))
% 227.19/34.87 |
% 227.19/34.87 | GROUND_INST: instantiating (fact_no__zero__divisors) with c_Complex_Oii,
% 227.19/34.87 | c_Complex_Oii, tc_Complex_Ocomplex, all_1006_1, all_1006_0,
% 227.19/34.87 | all_1018_1, simplifying with (94), (136), (144), (231), (232),
% 227.19/34.87 | (1268) gives:
% 227.19/34.87 | (1431) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0
% 227.19/34.87 | & $i(v0) & ( ~ (v0 = all_1018_1) | all_1018_1 = c_Complex_Oii))
% 227.19/34.87 |
% 227.19/34.87 | GROUND_INST: instantiating (fact_inverse__nonzero__iff__nonzero) with
% 227.19/34.87 | all_1503_1, tc_RealDef_Oreal, all_1503_0, simplifying with (117),
% 227.19/34.87 | (142), (495), (505) gives:
% 227.19/34.87 | (1432) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 227.19/34.87 | $i(v0) & ( ~ (v0 = all_1503_0) | all_1503_0 = all_1503_1) & ( ~
% 227.19/34.87 | (v0 = all_1503_1) | all_1503_0 = all_1503_1))
% 227.19/34.87 |
% 227.19/34.87 | GROUND_INST: instantiating (fact_inverse__negative__imp__negative) with
% 227.19/34.87 | all_1503_1, tc_RealDef_Oreal, all_1503_0, simplifying with (124),
% 227.19/34.87 | (142), (495), (505) gives:
% 227.19/34.87 | (1433) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 227.19/34.87 | $i(v0) & (v0 = all_1503_1 | ~
% 227.19/34.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1503_0, v0)
% 227.19/34.87 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1503_1,
% 227.19/34.87 | v0)))
% 227.19/34.87 |
% 227.19/34.87 | GROUND_INST: instantiating (fact_positive__imp__inverse__positive) with
% 227.19/34.87 | all_1503_1, tc_RealDef_Oreal, all_1503_0, simplifying with (124),
% 227.19/34.87 | (142), (495), (505) gives:
% 227.19/34.87 | (1434) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 227.19/34.87 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 227.19/34.87 | all_1503_1) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.19/34.87 | v0, all_1503_0)))
% 227.19/34.87 |
% 227.19/34.87 | GROUND_INST: instantiating (fact_negative__imp__inverse__negative) with
% 227.19/34.87 | all_1503_1, tc_RealDef_Oreal, all_1503_0, simplifying with (124),
% 227.19/34.87 | (142), (495), (505) gives:
% 227.19/34.87 | (1435) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 227.19/34.87 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.19/34.87 | all_1503_1, v0) |
% 227.19/34.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1503_0,
% 227.19/34.87 | v0)))
% 227.19/34.87 |
% 227.19/34.87 | GROUND_INST: instantiating (fact_inverse__nonnegative__iff__nonnegative) with
% 227.19/34.87 | all_1503_1, tc_RealDef_Oreal, all_1503_0, simplifying with (115),
% 227.19/34.87 | (142), (495), (505) gives:
% 227.19/34.87 | (1436) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 227.19/34.87 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 227.19/34.87 | v0, all_1503_0) |
% 227.19/34.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 227.19/34.87 | all_1503_1)) & ( ~
% 227.19/34.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 227.19/34.87 | all_1503_1) |
% 227.19/34.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 227.19/34.87 | all_1503_0)))
% 227.19/34.87 |
% 227.19/34.87 | GROUND_INST: instantiating (fact_inverse__nonpositive__iff__nonpositive) with
% 227.19/34.87 | all_1503_1, tc_RealDef_Oreal, all_1503_0, simplifying with (115),
% 227.19/34.87 | (142), (495), (505) gives:
% 227.19/34.87 | (1437) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 227.19/34.87 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 227.19/34.87 | all_1503_0, v0) |
% 227.19/34.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1503_1,
% 227.19/34.87 | v0)) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 227.19/34.87 | all_1503_1, v0) |
% 227.19/34.87 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1503_0,
% 227.19/34.87 | v0)))
% 227.19/34.87 |
% 227.19/34.87 | GROUND_INST: instantiating (fact_inverse__positive__iff__positive) with
% 227.19/34.87 | all_1503_1, tc_RealDef_Oreal, all_1503_0, simplifying with (115),
% 227.19/34.87 | (142), (495), (505) gives:
% 227.19/34.87 | (1438) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 227.19/34.87 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 227.19/34.87 | all_1503_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.19/34.87 | v0, all_1503_1)) & ( ~
% 227.19/34.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_1503_1)
% 227.19/34.87 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 227.19/34.87 | all_1503_0)))
% 227.19/34.87 |
% 227.19/34.87 | GROUND_INST: instantiating (fact_inverse__negative__iff__negative) with
% 227.19/34.87 | all_1503_1, tc_RealDef_Oreal, all_1503_0, simplifying with (115),
% 227.19/34.87 | (142), (495), (505) gives:
% 227.19/34.87 | (1439) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 227.19/34.87 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.19/34.87 | all_1503_0, v0) |
% 227.19/34.87 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1503_1, v0))
% 227.19/34.87 | & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1503_1,
% 227.19/34.87 | v0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.19/34.87 | all_1503_0, v0)))
% 227.19/34.87 |
% 227.19/34.87 | GROUND_INST: instantiating (fact_nonzero__imp__inverse__nonzero) with
% 227.19/34.87 | all_1503_1, tc_RealDef_Oreal, all_1503_0, simplifying with (126),
% 227.19/34.87 | (142), (495), (505) gives:
% 227.19/34.87 | (1440) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 227.19/34.87 | $i(v0) & ( ~ (v0 = all_1503_0) | all_1503_0 = all_1503_1))
% 227.19/34.87 |
% 227.19/34.87 | GROUND_INST: instantiating (fact_nonzero__imp__inverse__nonzero) with
% 227.19/34.87 | c_Complex_Oii, tc_Complex_Ocomplex, all_753_0, simplifying with
% 227.19/34.87 | (94), (137), (144), (171) gives:
% 227.19/34.87 | (1441) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0
% 227.19/34.87 | & $i(v0) & ( ~ (v0 = all_753_0) | all_753_0 = c_Complex_Oii))
% 227.19/34.87 |
% 227.19/34.87 | GROUND_INST: instantiating (fact_inverse__nonzero__iff__nonzero) with
% 227.19/34.87 | all_960_1, tc_Complex_Ocomplex, all_1183_1, simplifying with
% 227.19/34.87 | (132), (144), (1262), (1269) gives:
% 227.19/34.87 | (1442) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0
% 227.19/34.87 | & $i(v0) & ( ~ (v0 = all_1183_1) | all_1183_1 = all_960_1) & ( ~
% 227.19/34.88 | (v0 = all_960_1) | all_1183_1 = all_960_1))
% 227.19/34.88 |
% 227.19/34.88 | GROUND_INST: instantiating (fact_nonzero__imp__inverse__nonzero) with
% 227.19/34.88 | all_960_1, tc_Complex_Ocomplex, all_1183_1, simplifying with
% 227.19/34.88 | (137), (144), (1262), (1269) gives:
% 227.19/34.88 | (1443) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0
% 227.19/34.88 | & $i(v0) & ( ~ (v0 = all_1183_1) | all_1183_1 = all_960_1))
% 227.19/34.88 |
% 227.19/34.88 | GROUND_INST: instantiating (fact_neg__0__le__iff__le) with all_857_0,
% 227.19/34.88 | tc_RealDef_Oreal, all_1359_0, simplifying with (122), (142),
% 227.19/34.88 | (1141), (1178) gives:
% 227.19/34.88 | (1444) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 227.19/34.88 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 227.19/34.88 | v0, all_1359_0) |
% 227.19/34.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_857_0,
% 227.19/34.88 | v0)) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 227.19/34.88 | all_857_0, v0) |
% 227.19/34.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 227.19/34.88 | all_1359_0)))
% 227.19/34.88 |
% 227.19/34.88 | GROUND_INST: instantiating (fact_neg__le__0__iff__le) with all_857_0,
% 227.19/34.88 | tc_RealDef_Oreal, all_1359_0, simplifying with (122), (142),
% 227.19/34.88 | (1141), (1178) gives:
% 227.19/34.88 | (1445) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 227.19/34.88 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 227.19/34.88 | v0, all_857_0) |
% 227.19/34.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1359_0,
% 227.19/34.88 | v0)) & ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 227.19/34.88 | all_1359_0, v0) |
% 227.19/34.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0,
% 227.19/34.88 | all_857_0)))
% 227.19/34.88 |
% 227.19/34.88 | GROUND_INST: instantiating (fact_neg__0__less__iff__less) with all_857_0,
% 227.19/34.88 | tc_RealDef_Oreal, all_1359_0, simplifying with (122), (142),
% 227.19/34.88 | (1141), (1178) gives:
% 227.19/34.88 | (1446) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 227.19/34.88 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 227.19/34.88 | all_1359_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.19/34.88 | all_857_0, v0)) & ( ~
% 227.19/34.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_857_0, v0) |
% 227.19/34.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 227.19/34.88 | all_1359_0)))
% 227.19/34.88 |
% 227.19/34.88 | GROUND_INST: instantiating (fact_neg__less__0__iff__less) with all_857_0,
% 227.19/34.88 | tc_RealDef_Oreal, all_1359_0, simplifying with (122), (142),
% 227.19/34.88 | (1141), (1178) gives:
% 227.19/34.88 | (1447) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 227.19/34.88 | $i(v0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 227.19/34.88 | all_857_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.19/34.88 | all_1359_0, v0)) & ( ~
% 227.19/34.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1359_0, v0)
% 227.19/34.88 | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0,
% 227.19/34.88 | all_857_0)))
% 227.19/34.88 |
% 227.19/34.88 | GROUND_INST: instantiating (fact_neg__equal__0__iff__equal) with all_857_0,
% 227.19/34.88 | tc_RealDef_Oreal, all_1359_0, simplifying with (129), (142),
% 227.19/34.88 | (1141), (1178) gives:
% 227.19/34.88 | (1448) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v0 &
% 227.19/34.88 | $i(v0) & ( ~ (v0 = all_1359_0) | all_1359_0 = all_857_0) & ( ~ (v0
% 227.19/34.88 | = all_857_0) | all_1359_0 = all_857_0))
% 227.19/34.88 |
% 227.19/34.88 | GROUND_INST: instantiating (fact_neg__equal__0__iff__equal) with
% 227.19/34.88 | c_Complex_Oii, tc_Complex_Ocomplex, all_753_0, simplifying with
% 227.19/34.88 | (94), (139), (144), (172) gives:
% 227.19/34.88 | (1449) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0
% 227.19/34.88 | & $i(v0) & ( ~ (v0 = all_753_0) | all_753_0 = c_Complex_Oii) & ( ~
% 227.19/34.88 | (v0 = c_Complex_Oii) | all_753_0 = c_Complex_Oii))
% 227.19/34.88 |
% 227.19/34.88 | GROUND_INST: instantiating (fact_neg__equal__0__iff__equal) with all_745_0,
% 227.19/34.88 | tc_Complex_Ocomplex, all_1018_1, simplifying with (139), (144),
% 227.19/34.88 | (1139), (1396) gives:
% 227.19/34.88 | (1450) ? [v0: $i] : (c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v0
% 227.19/34.88 | & $i(v0) & ( ~ (v0 = all_1018_1) | all_1018_1 = all_745_0) & ( ~
% 227.19/34.88 | (v0 = all_745_0) | all_1018_1 = all_745_0))
% 227.19/34.88 |
% 227.19/34.88 | DELTA: instantiating (1401) with fresh symbol all_1676_0 gives:
% 227.19/34.88 | (1451) ~ (all_1676_0 = all_745_0) &
% 227.19/34.88 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1676_0 &
% 227.19/34.88 | $i(all_1676_0)
% 227.19/34.88 |
% 227.19/34.88 | ALPHA: (1451) implies:
% 227.19/34.88 | (1452) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1676_0
% 227.19/34.88 |
% 227.19/34.88 | DELTA: instantiating (1398) with fresh symbol all_1688_0 gives:
% 227.19/34.88 | (1453) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1688_0 &
% 227.19/34.88 | $i(all_1688_0) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 227.19/34.88 | all_1688_0, all_857_0)
% 227.19/34.88 |
% 227.19/34.88 | ALPHA: (1453) implies:
% 227.19/34.88 | (1454) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1688_0
% 227.19/34.88 |
% 227.19/34.88 | DELTA: instantiating (1400) with fresh symbol all_1712_0 gives:
% 227.19/34.88 | (1455) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1712_0 &
% 227.19/34.88 | $i(all_1712_0) & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.19/34.88 | all_857_0, all_1712_0)
% 227.19/34.88 |
% 227.19/34.88 | ALPHA: (1455) implies:
% 227.19/34.88 | (1456) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1712_0
% 227.19/34.88 |
% 227.19/34.88 | DELTA: instantiating (1399) with fresh symbol all_1714_0 gives:
% 227.19/34.88 | (1457) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1714_0 &
% 227.19/34.88 | $i(all_1714_0) & ~
% 227.19/34.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_857_0,
% 227.19/34.88 | all_1714_0)
% 227.19/34.88 |
% 227.19/34.88 | ALPHA: (1457) implies:
% 227.19/34.88 | (1458) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1714_0
% 227.19/34.88 |
% 227.19/34.88 | DELTA: instantiating (1441) with fresh symbol all_1730_0 gives:
% 227.19/34.88 | (1459) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1730_0 &
% 227.19/34.88 | $i(all_1730_0) & ( ~ (all_1730_0 = all_753_0) | all_753_0 =
% 227.19/34.88 | c_Complex_Oii)
% 227.19/34.88 |
% 227.19/34.88 | ALPHA: (1459) implies:
% 227.19/34.88 | (1460) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1730_0
% 227.19/34.88 |
% 227.19/34.88 | DELTA: instantiating (1431) with fresh symbol all_1732_0 gives:
% 227.19/34.88 | (1461) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1732_0 &
% 227.19/34.88 | $i(all_1732_0) & ( ~ (all_1732_0 = all_1018_1) | all_1018_1 =
% 227.19/34.88 | c_Complex_Oii)
% 227.19/34.88 |
% 227.19/34.88 | ALPHA: (1461) implies:
% 227.19/34.88 | (1462) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1732_0
% 227.19/34.88 |
% 227.19/34.88 | DELTA: instantiating (1405) with fresh symbol all_1734_0 gives:
% 227.19/34.88 | (1463) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1734_0 &
% 227.19/34.88 | $i(all_1734_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.19/34.88 | all_1734_0, all_819_0) |
% 227.19/34.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1734_0,
% 227.19/34.88 | all_1503_3))
% 227.19/34.88 |
% 227.19/34.88 | ALPHA: (1463) implies:
% 227.19/34.88 | (1464) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1734_0
% 227.19/34.88 | (1465) ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1734_0,
% 227.19/34.88 | all_819_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.19/34.88 | all_1734_0, all_1503_3)
% 227.19/34.88 |
% 227.19/34.88 | DELTA: instantiating (1404) with fresh symbol all_1736_0 gives:
% 227.19/34.88 | (1466) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1736_0 &
% 227.19/34.88 | $i(all_1736_0) & ( ~
% 227.19/34.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1736_0,
% 227.19/34.88 | all_819_0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 227.19/34.88 | all_1736_0, all_1503_3))
% 227.19/34.88 |
% 227.19/34.88 | ALPHA: (1466) implies:
% 227.19/34.88 | (1467) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1736_0
% 227.19/34.88 |
% 227.19/34.88 | DELTA: instantiating (1408) with fresh symbol all_1742_0 gives:
% 227.19/34.88 | (1468) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1742_0 &
% 227.19/34.88 | $i(all_1742_0) & ( ~ (all_1742_0 = all_1276_3) | all_1276_3 =
% 227.19/34.88 | v_w____)
% 227.19/34.88 |
% 227.19/34.88 | ALPHA: (1468) implies:
% 227.19/34.88 | (1469) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1742_0
% 227.19/34.88 |
% 227.19/34.88 | DELTA: instantiating (1406) with fresh symbol all_1746_0 gives:
% 227.19/34.88 | (1470) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1746_0 &
% 227.19/34.88 | $i(all_1746_0) & ( ~ (all_1746_0 = all_1395_2) | all_1395_2 =
% 227.19/34.88 | all_1395_4)
% 227.19/34.88 |
% 227.19/34.88 | ALPHA: (1470) implies:
% 227.19/34.88 | (1471) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1746_0
% 227.19/34.88 |
% 227.19/34.88 | DELTA: instantiating (1435) with fresh symbol all_1755_0 gives:
% 227.19/34.88 | (1472) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1755_0 &
% 227.19/34.88 | $i(all_1755_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.19/34.88 | all_1503_1, all_1755_0) |
% 227.19/34.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1503_0,
% 227.19/34.88 | all_1755_0))
% 227.19/34.88 |
% 227.19/34.88 | ALPHA: (1472) implies:
% 227.19/34.88 | (1473) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1755_0
% 227.19/34.88 |
% 227.19/34.88 | DELTA: instantiating (1443) with fresh symbol all_1757_0 gives:
% 227.19/34.88 | (1474) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1757_0 &
% 227.19/34.88 | $i(all_1757_0) & ( ~ (all_1757_0 = all_1183_1) | all_1183_1 =
% 227.19/34.88 | all_960_1)
% 227.19/34.88 |
% 227.19/34.88 | ALPHA: (1474) implies:
% 227.19/34.88 | (1475) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1757_0
% 227.19/34.88 |
% 227.19/34.88 | DELTA: instantiating (1434) with fresh symbol all_1759_0 gives:
% 227.19/34.88 | (1476) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1759_0 &
% 227.19/34.88 | $i(all_1759_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.19/34.88 | all_1759_0, all_1503_1) |
% 227.19/34.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1759_0,
% 227.19/34.88 | all_1503_0))
% 227.19/34.88 |
% 227.19/34.88 | ALPHA: (1476) implies:
% 227.19/34.88 | (1477) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1759_0
% 227.19/34.88 |
% 227.19/34.88 | DELTA: instantiating (1425) with fresh symbol all_1765_0 gives:
% 227.19/34.88 | (1478) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1765_0 &
% 227.19/34.88 | $i(all_1765_0) & ( ~ (all_1765_0 = all_745_0) | all_960_1 =
% 227.19/34.88 | all_745_0)
% 227.19/34.88 |
% 227.19/34.88 | ALPHA: (1478) implies:
% 227.19/34.88 | (1479) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1765_0
% 227.19/34.88 |
% 227.19/34.88 | DELTA: instantiating (1402) with fresh symbol all_1769_0 gives:
% 227.19/34.88 | (1480) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1769_0 &
% 227.19/34.88 | $i(all_1769_0) & ( ~ (all_1769_0 = all_1503_3) | all_1503_3 =
% 227.19/34.88 | all_819_0)
% 227.19/34.88 |
% 227.19/34.88 | ALPHA: (1480) implies:
% 227.19/34.88 | (1481) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1769_0
% 227.19/34.88 |
% 227.19/34.88 | DELTA: instantiating (1440) with fresh symbol all_1771_0 gives:
% 227.19/34.88 | (1482) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1771_0 &
% 227.19/34.88 | $i(all_1771_0) & ( ~ (all_1771_0 = all_1503_0) | all_1503_0 =
% 227.19/34.88 | all_1503_1)
% 227.19/34.88 |
% 227.19/34.88 | ALPHA: (1482) implies:
% 227.19/34.88 | (1483) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1771_0
% 227.19/34.88 |
% 227.19/34.88 | DELTA: instantiating (1427) with fresh symbol all_1773_0 gives:
% 227.35/34.88 | (1484) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1773_0 &
% 227.35/34.88 | $i(all_1773_0) & ( ~ (all_1773_0 = all_1395_0) | all_1395_0 =
% 227.35/34.88 | all_1395_2 | all_1395_0 = v_a____)
% 227.35/34.88 |
% 227.35/34.88 | ALPHA: (1484) implies:
% 227.35/34.88 | (1485) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1773_0
% 227.35/34.88 |
% 227.35/34.88 | DELTA: instantiating (1423) with fresh symbol all_1827_0 gives:
% 227.35/34.88 | (1486) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1827_0 &
% 227.35/34.88 | $i(all_1827_0) & ( ~
% 227.35/34.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1503_3,
% 227.35/34.88 | all_1827_0) | ~
% 227.35/34.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 227.35/34.88 | all_1827_0) |
% 227.35/34.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1827_0,
% 227.35/34.88 | all_1503_1))
% 227.35/34.88 |
% 227.35/34.88 | ALPHA: (1486) implies:
% 227.35/34.88 | (1487) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1827_0
% 227.35/34.88 |
% 227.35/34.88 | DELTA: instantiating (1422) with fresh symbol all_1829_0 gives:
% 227.35/34.88 | (1488) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1829_0 &
% 227.35/34.88 | $i(all_1829_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.35/34.88 | all_1503_3, all_1829_0) | ~
% 227.35/34.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_m____,
% 227.35/34.88 | all_1829_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.35/34.88 | all_1829_0, all_1503_1))
% 227.35/34.88 |
% 227.35/34.88 | ALPHA: (1488) implies:
% 227.35/34.88 | (1489) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1829_0
% 227.35/34.88 |
% 227.35/34.88 | DELTA: instantiating (1419) with fresh symbol all_1839_0 gives:
% 227.35/34.88 | (1490) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1839_0 &
% 227.35/34.88 | $i(all_1839_0) & ( ~ (all_1839_0 = all_1503_1) | all_1503_1 =
% 227.35/34.88 | all_1503_3 | all_1503_1 = v_m____)
% 227.35/34.88 |
% 227.35/34.88 | ALPHA: (1490) implies:
% 227.35/34.88 | (1491) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1839_0
% 227.35/34.88 |
% 227.35/34.88 | DELTA: instantiating (1416) with fresh symbol all_1841_0 gives:
% 227.35/34.88 | (1492) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1841_0 &
% 227.35/34.88 | $i(all_1841_0) & ( ~
% 227.35/34.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1841_0,
% 227.35/34.88 | all_1503_3) | ~
% 227.35/34.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 227.35/34.88 | all_1841_0) |
% 227.35/34.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1503_1,
% 227.35/34.88 | all_1841_0))
% 227.35/34.88 |
% 227.35/34.88 | ALPHA: (1492) implies:
% 227.35/34.88 | (1493) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1841_0
% 227.35/34.88 |
% 227.35/34.88 | DELTA: instantiating (1429) with fresh symbol all_1844_0 gives:
% 227.35/34.88 | (1494) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1844_0 &
% 227.35/34.88 | $i(all_1844_0) & ( ~ (all_1844_0 = all_1018_1) | all_1276_3 =
% 227.35/34.88 | all_1018_1 | all_1018_1 = v_a____)
% 227.35/34.88 |
% 227.35/34.88 | ALPHA: (1494) implies:
% 227.35/34.88 | (1495) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1844_0
% 227.35/34.88 |
% 227.35/34.88 | DELTA: instantiating (1415) with fresh symbol all_1864_0 gives:
% 227.35/34.88 | (1496) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1864_0 &
% 227.35/34.88 | $i(all_1864_0) & ( ~
% 227.35/34.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1864_0,
% 227.35/34.88 | all_1503_3) | ~
% 227.35/34.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1864_0,
% 227.35/34.88 | v_m____) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 227.35/34.88 | all_1864_0, all_1503_1))
% 227.35/34.88 |
% 227.35/34.88 | ALPHA: (1496) implies:
% 227.35/34.88 | (1497) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1864_0
% 227.35/34.88 |
% 227.35/34.88 | DELTA: instantiating (1414) with fresh symbol all_1866_0 gives:
% 227.35/34.88 | (1498) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1866_0 &
% 227.35/34.88 | $i(all_1866_0) & ( ~
% 227.35/34.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1866_0,
% 227.35/34.88 | v_m____) | ~
% 227.35/34.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1503_3,
% 227.35/34.88 | all_1866_0) |
% 227.35/34.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1503_1,
% 227.35/34.88 | all_1866_0))
% 227.35/34.88 |
% 227.35/34.88 | ALPHA: (1498) implies:
% 227.35/34.88 | (1499) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1866_0
% 227.35/34.88 |
% 227.35/34.88 | DELTA: instantiating (1411) with fresh symbol all_1868_0 gives:
% 227.35/34.88 | (1500) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1868_0 &
% 227.35/34.88 | $i(all_1868_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.35/34.88 | all_1868_0, all_1503_1) | ~
% 227.35/34.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1868_0,
% 227.35/34.88 | v_m____) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.35/34.88 | all_1868_0, all_1503_3))
% 227.35/34.88 |
% 227.35/34.88 | ALPHA: (1500) implies:
% 227.35/34.88 | (1501) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1868_0
% 227.35/34.88 |
% 227.35/34.88 | DELTA: instantiating (1410) with fresh symbol all_1870_0 gives:
% 227.35/34.88 | (1502) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1870_0 &
% 227.35/34.88 | $i(all_1870_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.35/34.88 | all_1870_0, v_m____) | ~
% 227.35/34.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1503_3,
% 227.35/34.88 | all_1870_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.35/34.88 | all_1503_1, all_1870_0))
% 227.35/34.88 |
% 227.35/34.88 | ALPHA: (1502) implies:
% 227.35/34.88 | (1503) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1870_0
% 227.35/34.88 |
% 227.35/34.88 | DELTA: instantiating (1413) with fresh symbol all_1872_0 gives:
% 227.35/34.88 | (1504) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1872_0 &
% 227.35/34.88 | $i(all_1872_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.35/34.88 | all_1872_0, all_1503_3) | ~
% 227.35/34.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v_m____,
% 227.35/34.88 | all_1872_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.35/34.88 | all_1503_1, all_1872_0))
% 227.35/34.88 |
% 227.35/34.88 | ALPHA: (1504) implies:
% 227.35/34.88 | (1505) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1872_0
% 227.35/34.88 |
% 227.35/34.88 | DELTA: instantiating (1412) with fresh symbol all_1874_0 gives:
% 227.35/34.88 | (1506) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1874_0 &
% 227.35/34.88 | $i(all_1874_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.35/34.88 | all_1874_0, all_1503_3) | ~
% 227.35/34.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1874_0,
% 227.35/34.88 | v_m____) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.35/34.88 | all_1874_0, all_1503_1))
% 227.35/34.88 |
% 227.35/34.88 | ALPHA: (1506) implies:
% 227.35/34.88 | (1507) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1874_0
% 227.35/34.88 | (1508) ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1874_0,
% 227.35/34.88 | all_1503_3) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.35/34.88 | all_1874_0, v_m____) |
% 227.35/34.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1874_0,
% 227.35/34.88 | all_1503_1)
% 227.35/34.88 |
% 227.35/34.88 | DELTA: instantiating (1433) with fresh symbol all_1884_0 gives:
% 227.35/34.88 | (1509) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1884_0 &
% 227.35/34.88 | $i(all_1884_0) & (all_1884_0 = all_1503_1 | ~
% 227.35/34.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1503_0,
% 227.35/34.88 | all_1884_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.35/34.88 | all_1503_1, all_1884_0))
% 227.35/34.88 |
% 227.35/34.88 | ALPHA: (1509) implies:
% 227.35/34.88 | (1510) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1884_0
% 227.35/34.88 |
% 227.35/34.88 | DELTA: instantiating (1445) with fresh symbol all_1891_0 gives:
% 227.35/34.88 | (1511) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1891_0 &
% 227.35/34.88 | $i(all_1891_0) & ( ~
% 227.35/34.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1891_0,
% 227.35/34.88 | all_857_0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 227.35/34.88 | all_1359_0, all_1891_0)) & ( ~
% 227.35/34.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1359_0,
% 227.35/34.88 | all_1891_0) |
% 227.35/34.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1891_0,
% 227.35/34.88 | all_857_0))
% 227.35/34.88 |
% 227.35/34.88 | ALPHA: (1511) implies:
% 227.35/34.88 | (1512) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1891_0
% 227.35/34.88 |
% 227.35/34.88 | DELTA: instantiating (1444) with fresh symbol all_1893_0 gives:
% 227.35/34.88 | (1513) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1893_0 &
% 227.35/34.88 | $i(all_1893_0) & ( ~
% 227.35/34.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1893_0,
% 227.35/34.88 | all_1359_0) |
% 227.35/34.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_857_0,
% 227.35/34.88 | all_1893_0)) & ( ~
% 227.35/34.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_857_0,
% 227.35/34.88 | all_1893_0) |
% 227.35/34.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1893_0,
% 227.35/34.88 | all_1359_0))
% 227.35/34.88 |
% 227.35/34.88 | ALPHA: (1513) implies:
% 227.35/34.88 | (1514) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1893_0
% 227.35/34.88 |
% 227.35/34.88 | DELTA: instantiating (1432) with fresh symbol all_1895_0 gives:
% 227.35/34.88 | (1515) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1895_0 &
% 227.35/34.88 | $i(all_1895_0) & ( ~ (all_1895_0 = all_1503_0) | all_1503_0 =
% 227.35/34.88 | all_1503_1) & ( ~ (all_1895_0 = all_1503_1) | all_1503_0 =
% 227.35/34.88 | all_1503_1)
% 227.35/34.88 |
% 227.35/34.88 | ALPHA: (1515) implies:
% 227.35/34.88 | (1516) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1895_0
% 227.35/34.88 |
% 227.35/34.88 | DELTA: instantiating (1439) with fresh symbol all_1899_0 gives:
% 227.35/34.88 | (1517) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1899_0 &
% 227.35/34.88 | $i(all_1899_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.35/34.88 | all_1503_0, all_1899_0) |
% 227.35/34.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1503_1,
% 227.35/34.88 | all_1899_0)) & ( ~
% 227.35/34.88 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1503_1,
% 227.35/34.88 | all_1899_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.35/34.88 | all_1503_0, all_1899_0))
% 227.35/34.88 |
% 227.35/34.88 | ALPHA: (1517) implies:
% 227.35/34.88 | (1518) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1899_0
% 227.35/34.88 |
% 227.35/34.88 | DELTA: instantiating (1437) with fresh symbol all_1901_0 gives:
% 227.35/34.88 | (1519) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1901_0 &
% 227.35/34.88 | $i(all_1901_0) & ( ~
% 227.35/34.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1503_0,
% 227.35/34.88 | all_1901_0) |
% 227.35/34.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1503_1,
% 227.35/34.88 | all_1901_0)) & ( ~
% 227.35/34.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1503_1,
% 227.35/34.88 | all_1901_0) |
% 227.35/34.88 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1503_0,
% 227.35/34.88 | all_1901_0))
% 227.35/34.88 |
% 227.35/34.88 | ALPHA: (1519) implies:
% 227.35/34.88 | (1520) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1901_0
% 227.35/34.88 |
% 227.35/34.88 | DELTA: instantiating (1450) with fresh symbol all_1903_0 gives:
% 227.35/34.88 | (1521) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1903_0 &
% 227.35/34.88 | $i(all_1903_0) & ( ~ (all_1903_0 = all_1018_1) | all_1018_1 =
% 227.35/34.88 | all_745_0) & ( ~ (all_1903_0 = all_745_0) | all_1018_1 =
% 227.35/34.88 | all_745_0)
% 227.35/34.88 |
% 227.35/34.88 | ALPHA: (1521) implies:
% 227.35/34.88 | (1522) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1903_0
% 227.35/34.88 |
% 227.35/34.88 | DELTA: instantiating (1449) with fresh symbol all_1905_0 gives:
% 227.35/34.88 | (1523) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1905_0 &
% 227.35/34.88 | $i(all_1905_0) & ( ~ (all_1905_0 = all_753_0) | all_753_0 =
% 227.35/34.88 | c_Complex_Oii) & ( ~ (all_1905_0 = c_Complex_Oii) | all_753_0 =
% 227.35/34.88 | c_Complex_Oii)
% 227.35/34.88 |
% 227.35/34.88 | ALPHA: (1523) implies:
% 227.35/34.88 | (1524) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1905_0
% 227.35/34.88 |
% 227.35/34.88 | DELTA: instantiating (1442) with fresh symbol all_1907_0 gives:
% 227.35/34.88 | (1525) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1907_0 &
% 227.35/34.88 | $i(all_1907_0) & ( ~ (all_1907_0 = all_1183_1) | all_1183_1 =
% 227.35/34.88 | all_960_1) & ( ~ (all_1907_0 = all_960_1) | all_1183_1 =
% 227.35/34.88 | all_960_1)
% 227.35/34.88 |
% 227.35/34.88 | ALPHA: (1525) implies:
% 227.35/34.88 | (1526) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1907_0
% 227.35/34.88 |
% 227.35/34.89 | DELTA: instantiating (1436) with fresh symbol all_1921_0 gives:
% 227.35/34.89 | (1527) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1921_0 &
% 227.35/34.89 | $i(all_1921_0) & ( ~
% 227.35/34.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1921_0,
% 227.35/34.89 | all_1503_0) |
% 227.35/34.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1921_0,
% 227.35/34.89 | all_1503_1)) & ( ~
% 227.35/34.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1921_0,
% 227.35/34.89 | all_1503_1) |
% 227.35/34.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1921_0,
% 227.35/34.89 | all_1503_0))
% 227.35/34.89 |
% 227.35/34.89 | ALPHA: (1527) implies:
% 227.35/34.89 | (1528) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1921_0
% 227.35/34.89 |
% 227.35/34.89 | DELTA: instantiating (1438) with fresh symbol all_1923_0 gives:
% 227.35/34.89 | (1529) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1923_0 &
% 227.35/34.89 | $i(all_1923_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.35/34.89 | all_1923_0, all_1503_0) |
% 227.35/34.89 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1923_0,
% 227.35/34.89 | all_1503_1)) & ( ~
% 227.35/34.89 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1923_0,
% 227.35/34.89 | all_1503_1) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.35/34.89 | all_1923_0, all_1503_0))
% 227.35/34.89 |
% 227.35/34.89 | ALPHA: (1529) implies:
% 227.35/34.89 | (1530) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1923_0
% 227.35/34.89 | (1531) ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1923_0,
% 227.35/34.89 | all_1503_1) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.35/34.89 | all_1923_0, all_1503_0)
% 227.35/34.89 |
% 227.35/34.89 | DELTA: instantiating (1430) with fresh symbol all_1929_0 gives:
% 227.35/34.89 | (1532) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1929_0 &
% 227.35/34.89 | $i(all_1929_0) & ( ~ (all_1929_0 = all_1018_1) | all_1018_1 =
% 227.35/34.89 | c_Complex_Oii) & ( ~ (all_1929_0 = c_Complex_Oii) | all_1018_1 =
% 227.35/34.89 | c_Complex_Oii)
% 227.35/34.89 |
% 227.35/34.89 | ALPHA: (1532) implies:
% 227.35/34.89 | (1533) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1929_0
% 227.35/34.89 |
% 227.35/34.89 | DELTA: instantiating (1448) with fresh symbol all_1931_0 gives:
% 227.35/34.89 | (1534) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1931_0 &
% 227.35/34.89 | $i(all_1931_0) & ( ~ (all_1931_0 = all_1359_0) | all_1359_0 =
% 227.35/34.89 | all_857_0) & ( ~ (all_1931_0 = all_857_0) | all_1359_0 =
% 227.35/34.89 | all_857_0)
% 227.35/34.89 |
% 227.35/34.89 | ALPHA: (1534) implies:
% 227.35/34.89 | (1535) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1931_0
% 227.35/34.89 |
% 227.35/34.89 | DELTA: instantiating (1447) with fresh symbol all_1933_0 gives:
% 227.35/34.89 | (1536) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1933_0 &
% 227.35/34.89 | $i(all_1933_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.35/34.89 | all_1933_0, all_857_0) |
% 227.35/34.89 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1359_0,
% 227.35/34.89 | all_1933_0)) & ( ~
% 227.35/34.89 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1359_0,
% 227.35/34.89 | all_1933_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.35/34.89 | all_1933_0, all_857_0))
% 227.35/34.89 |
% 227.35/34.89 | ALPHA: (1536) implies:
% 227.35/34.89 | (1537) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1933_0
% 227.35/34.89 |
% 227.35/34.89 | DELTA: instantiating (1446) with fresh symbol all_1937_0 gives:
% 227.35/34.89 | (1538) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1937_0 &
% 227.35/34.89 | $i(all_1937_0) & ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.35/34.89 | all_1937_0, all_1359_0) |
% 227.35/34.89 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_857_0,
% 227.35/34.89 | all_1937_0)) & ( ~
% 227.35/34.89 | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_857_0,
% 227.35/34.89 | all_1937_0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.35/34.89 | all_1937_0, all_1359_0))
% 227.35/34.89 |
% 227.35/34.89 | ALPHA: (1538) implies:
% 227.35/34.89 | (1539) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1937_0
% 227.35/34.89 |
% 227.35/34.89 | DELTA: instantiating (1397) with fresh symbol all_1946_0 gives:
% 227.35/34.89 | (1540) ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1229_0,
% 227.35/34.89 | all_819_0) | ( ~ (all_1946_0 = v_w____) &
% 227.35/34.89 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1946_0 &
% 227.35/34.89 | $i(all_1946_0))) &
% 227.35/34.89 | (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1229_0,
% 227.35/34.89 | all_819_0) | (all_1946_0 = v_w____ &
% 227.35/34.89 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v_w____))
% 227.35/34.89 |
% 227.35/34.89 | ALPHA: (1540) implies:
% 227.35/34.89 | (1541) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1229_0,
% 227.35/34.89 | all_819_0) | (all_1946_0 = v_w____ &
% 227.35/34.89 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v_w____)
% 227.35/34.89 | (1542) ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1229_0,
% 227.35/34.89 | all_819_0) | ( ~ (all_1946_0 = v_w____) &
% 227.35/34.89 | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1946_0 &
% 227.35/34.89 | $i(all_1946_0))
% 227.35/34.89 |
% 227.35/34.89 | DELTA: instantiating (1417) with fresh symbol all_1950_0 gives:
% 227.35/34.89 | (1543) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1950_0 &
% 227.35/34.89 | $i(all_1950_0) &
% 227.35/34.89 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1503_1,
% 227.35/34.89 | all_1950_0) | (( ~
% 227.35/34.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 227.35/34.89 | all_1950_0, all_1503_3) | ~
% 227.35/34.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 227.35/34.89 | all_1950_0)) & ( ~
% 227.35/34.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 227.35/34.89 | all_1950_0, v_m____) | ~
% 227.35/34.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 227.35/34.89 | all_1503_3, all_1950_0))))
% 227.35/34.89 |
% 227.35/34.89 | ALPHA: (1543) implies:
% 227.35/34.89 | (1544) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1950_0
% 227.35/34.89 |
% 227.35/34.89 | DELTA: instantiating (1424) with fresh symbol all_1956_0 gives:
% 227.35/34.89 | (1545) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1956_0 &
% 227.35/34.89 | $i(all_1956_0) &
% 227.35/34.89 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1956_0,
% 227.35/34.89 | all_1503_1) | (( ~
% 227.35/34.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 227.35/34.89 | all_1956_0, all_1503_3) | ~
% 227.35/34.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 227.35/34.89 | all_1956_0, v_m____)) & ( ~
% 227.35/34.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 227.35/34.89 | all_1503_3, all_1956_0) | ~
% 227.35/34.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 227.35/34.89 | all_1956_0))))
% 227.35/34.89 |
% 227.35/34.89 | ALPHA: (1545) implies:
% 227.35/34.89 | (1546) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1956_0
% 227.35/34.89 |
% 227.35/34.89 | DELTA: instantiating (1403) with fresh symbol all_1958_0 gives:
% 227.35/34.89 | (1547) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1958_0 &
% 227.35/34.89 | $i(all_1958_0) & ( ~ (all_1958_0 = all_1503_3) | (all_1503_3 =
% 227.35/34.89 | all_819_0 & ~ (all_1430_0 = all_928_0))) & ( ~ (all_1958_0 =
% 227.35/34.89 | all_819_0) | all_1503_3 = all_819_0 | all_1430_0 = all_928_0)
% 227.35/34.89 |
% 227.35/34.89 | ALPHA: (1547) implies:
% 227.35/34.89 | (1548) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1958_0
% 227.35/34.89 |
% 227.35/34.89 | DELTA: instantiating (1426) with fresh symbol all_1960_0 gives:
% 227.35/34.89 | (1549) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1960_0 &
% 227.35/34.89 | $i(all_1960_0) & ( ~ (all_1960_0 = all_1395_0) | all_1395_0 =
% 227.35/34.89 | all_1395_2 | all_1395_0 = v_a____) & (all_1960_0 = all_1395_0 | (
% 227.35/34.89 | ~ (all_1960_0 = all_1395_2) & ~ (all_1960_0 = v_a____)))
% 227.35/34.89 |
% 227.35/34.89 | ALPHA: (1549) implies:
% 227.35/34.89 | (1550) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1960_0
% 227.35/34.89 |
% 227.35/34.89 | DELTA: instantiating (1409) with fresh symbol all_1962_0 gives:
% 227.35/34.89 | (1551) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1962_0 &
% 227.35/34.89 | $i(all_1962_0) & ( ~ (all_1962_0 = all_1276_3) | (all_1276_3 =
% 227.35/34.89 | v_w____ & ~ (all_1430_0 = v_k____))) & ( ~ (all_1962_0 =
% 227.35/34.89 | v_w____) | all_1430_0 = v_k____ | all_1276_3 = v_w____)
% 227.35/34.89 |
% 227.35/34.89 | ALPHA: (1551) implies:
% 227.35/34.89 | (1552) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1962_0
% 227.35/34.89 |
% 227.35/34.89 | DELTA: instantiating (1407) with fresh symbol all_1973_0 gives:
% 227.35/34.89 | (1553) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1973_0 &
% 227.35/34.89 | $i(all_1973_0) & ( ~ (all_1973_0 = all_1395_2) | (all_1395_2 =
% 227.35/34.89 | all_1395_4 & ~ (all_1430_0 = v_k____))) & ( ~ (all_1973_0 =
% 227.35/34.89 | all_1395_4) | all_1430_0 = v_k____ | all_1395_2 = all_1395_4)
% 227.35/34.89 |
% 227.35/34.89 | ALPHA: (1553) implies:
% 227.35/34.89 | (1554) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1973_0
% 227.35/34.89 |
% 227.35/34.89 | DELTA: instantiating (1428) with fresh symbol all_1975_0 gives:
% 227.35/34.89 | (1555) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1975_0 &
% 227.35/34.89 | $i(all_1975_0) & ( ~ (all_1975_0 = all_1018_1) | all_1276_3 =
% 227.35/34.89 | all_1018_1 | all_1018_1 = v_a____) & (all_1975_0 = all_1018_1 | (
% 227.35/34.89 | ~ (all_1975_0 = all_1276_3) & ~ (all_1975_0 = v_a____)))
% 227.35/34.89 |
% 227.35/34.89 | ALPHA: (1555) implies:
% 227.35/34.89 | (1556) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_1975_0
% 227.35/34.89 |
% 227.35/34.89 | DELTA: instantiating (1418) with fresh symbol all_1979_0 gives:
% 227.35/34.89 | (1557) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1979_0 &
% 227.35/34.89 | $i(all_1979_0) & ( ~ (all_1979_0 = all_1503_1) | all_1503_1 =
% 227.35/34.89 | all_1503_3 | all_1503_1 = v_m____) & (all_1979_0 = all_1503_1 | (
% 227.35/34.89 | ~ (all_1979_0 = all_1503_3) & ~ (all_1979_0 = v_m____)))
% 227.35/34.89 |
% 227.35/34.89 | ALPHA: (1557) implies:
% 227.35/34.89 | (1558) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_1979_0
% 227.35/34.89 |
% 227.35/34.89 | DELTA: instantiating (1421) with fresh symbol all_2062_0 gives:
% 227.35/34.89 | (1559) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2062_0 &
% 227.35/34.89 | $i(all_2062_0) & ( ~
% 227.35/34.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1503_1,
% 227.35/34.89 | all_2062_0) |
% 227.35/34.89 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2062_0,
% 227.35/34.89 | all_1503_3) &
% 227.35/34.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 227.35/34.89 | all_2062_0)) |
% 227.35/34.89 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2062_0,
% 227.35/34.89 | v_m____) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 227.35/34.89 | all_1503_3, all_2062_0))) &
% 227.35/34.89 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1503_1,
% 227.35/34.89 | all_2062_0) | (( ~
% 227.35/34.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 227.35/34.89 | all_2062_0, all_1503_3) | ~
% 227.35/34.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 227.35/34.89 | all_2062_0)) & ( ~
% 227.35/34.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 227.35/34.89 | all_2062_0, v_m____) | ~
% 227.35/34.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 227.35/34.89 | all_1503_3, all_2062_0))))
% 227.35/34.89 |
% 227.35/34.89 | ALPHA: (1559) implies:
% 227.35/34.89 | (1560) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2062_0
% 227.35/34.89 |
% 227.35/34.89 | DELTA: instantiating (1420) with fresh symbol all_2064_0 gives:
% 227.35/34.89 | (1561) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2064_0 &
% 227.35/34.89 | $i(all_2064_0) & ( ~
% 227.35/34.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2064_0,
% 227.35/34.89 | all_1503_1) |
% 227.35/34.89 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2064_0,
% 227.35/34.89 | all_1503_3) &
% 227.35/34.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2064_0,
% 227.35/34.89 | v_m____)) |
% 227.35/34.89 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_1503_3,
% 227.35/34.89 | all_2064_0) &
% 227.35/34.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 227.35/34.89 | all_2064_0))) &
% 227.35/34.89 | (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_2064_0,
% 227.35/34.89 | all_1503_1) | (( ~
% 227.35/34.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 227.35/34.89 | all_2064_0, all_1503_3) | ~
% 227.35/34.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 227.35/34.89 | all_2064_0, v_m____)) & ( ~
% 227.35/34.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal,
% 227.35/34.89 | all_1503_3, all_2064_0) | ~
% 227.35/34.89 | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_m____,
% 227.35/34.89 | all_2064_0))))
% 227.35/34.89 |
% 227.35/34.89 | ALPHA: (1561) implies:
% 227.35/34.89 | (1562) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_2064_0
% 227.35/34.89 |
% 227.35/34.89 | BETA: splitting (1541) gives:
% 227.35/34.89 |
% 227.35/34.89 | Case 1:
% 227.35/34.89 | |
% 227.35/34.89 | | (1563) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1229_0,
% 227.35/34.89 | | all_819_0)
% 227.35/34.89 | |
% 227.35/34.89 | | REDUCE: (1118), (1563) imply:
% 227.35/34.89 | | (1564) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_737_0,
% 227.35/34.89 | | all_819_0)
% 227.35/34.89 | |
% 227.35/34.89 | | BETA: splitting (1542) gives:
% 227.35/34.89 | |
% 227.35/34.89 | | Case 1:
% 227.35/34.89 | | |
% 227.35/34.89 | | | (1565) ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1229_0,
% 227.35/34.89 | | | all_819_0)
% 227.35/34.89 | | |
% 227.35/34.89 | | | REDUCE: (1118), (1565) imply:
% 227.35/34.89 | | | (1566) ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_737_0,
% 227.35/34.89 | | | all_819_0)
% 227.35/34.89 | | |
% 227.35/34.89 | | | PRED_UNIFY: (1564), (1566) imply:
% 227.35/34.89 | | | (1567) $false
% 227.35/34.89 | | |
% 227.35/34.89 | | | CLOSE: (1567) is inconsistent.
% 227.35/34.89 | | |
% 227.35/34.89 | | Case 2:
% 227.35/34.89 | | |
% 227.35/34.89 | | |
% 227.35/34.89 | | | GROUND_INST: instantiating (148) with all_737_0, all_1712_0,
% 227.35/34.89 | | | tc_RealDef_Oreal, simplifying with (160), (1456) gives:
% 227.35/34.89 | | | (1568) all_1712_0 = all_737_0
% 227.35/34.89 | | |
% 227.35/34.89 | | | GROUND_INST: instantiating (148) with all_1769_0, all_1771_0,
% 227.35/34.89 | | | tc_RealDef_Oreal, simplifying with (1481), (1483) gives:
% 227.35/34.89 | | | (1569) all_1771_0 = all_1769_0
% 227.35/34.89 | | |
% 227.35/34.89 | | | GROUND_INST: instantiating (148) with all_1771_0, all_1827_0,
% 227.35/34.89 | | | tc_RealDef_Oreal, simplifying with (1483), (1487) gives:
% 227.35/34.89 | | | (1570) all_1827_0 = all_1771_0
% 227.35/34.89 | | |
% 227.35/34.89 | | | GROUND_INST: instantiating (148) with all_1769_0, all_1829_0,
% 227.35/34.89 | | | tc_RealDef_Oreal, simplifying with (1481), (1489) gives:
% 227.35/34.89 | | | (1571) all_1829_0 = all_1769_0
% 227.35/34.89 | | |
% 227.35/34.89 | | | GROUND_INST: instantiating (148) with all_1759_0, all_1829_0,
% 227.35/34.89 | | | tc_RealDef_Oreal, simplifying with (1477), (1489) gives:
% 227.35/34.89 | | | (1572) all_1829_0 = all_1759_0
% 227.35/34.89 | | |
% 227.35/34.89 | | | GROUND_INST: instantiating (148) with all_1755_0, all_1829_0,
% 227.35/34.89 | | | tc_RealDef_Oreal, simplifying with (1473), (1489) gives:
% 227.35/34.89 | | | (1573) all_1829_0 = all_1755_0
% 227.35/34.89 | | |
% 227.35/34.89 | | | GROUND_INST: instantiating (148) with all_1755_0, all_1839_0,
% 227.35/34.89 | | | tc_RealDef_Oreal, simplifying with (1473), (1491) gives:
% 227.35/34.89 | | | (1574) all_1839_0 = all_1755_0
% 227.35/34.89 | | |
% 227.35/34.89 | | | GROUND_INST: instantiating (148) with all_1734_0, all_1839_0,
% 227.35/34.89 | | | tc_RealDef_Oreal, simplifying with (1464), (1491) gives:
% 227.35/34.89 | | | (1575) all_1839_0 = all_1734_0
% 227.35/34.89 | | |
% 227.35/34.89 | | | GROUND_INST: instantiating (148) with all_1870_0, all_1872_0,
% 227.35/34.89 | | | tc_RealDef_Oreal, simplifying with (1503), (1505) gives:
% 227.35/34.89 | | | (1576) all_1872_0 = all_1870_0
% 227.35/34.89 | | |
% 227.35/34.89 | | | GROUND_INST: instantiating (148) with all_1827_0, all_1874_0,
% 227.35/34.89 | | | tc_RealDef_Oreal, simplifying with (1487), (1507) gives:
% 227.35/34.89 | | | (1577) all_1874_0 = all_1827_0
% 227.35/34.89 | | |
% 227.35/34.89 | | | GROUND_INST: instantiating (148) with all_1870_0, all_1891_0,
% 227.35/34.89 | | | tc_RealDef_Oreal, simplifying with (1503), (1512) gives:
% 227.35/34.89 | | | (1578) all_1891_0 = all_1870_0
% 227.35/34.89 | | |
% 227.35/34.89 | | | GROUND_INST: instantiating (148) with all_1874_0, all_1893_0,
% 227.35/34.89 | | | tc_RealDef_Oreal, simplifying with (1507), (1514) gives:
% 227.35/34.89 | | | (1579) all_1893_0 = all_1874_0
% 227.35/34.89 | | |
% 227.35/34.89 | | | GROUND_INST: instantiating (148) with all_1874_0, all_1899_0,
% 227.35/34.89 | | | tc_RealDef_Oreal, simplifying with (1507), (1518) gives:
% 227.35/34.89 | | | (1580) all_1899_0 = all_1874_0
% 227.35/34.89 | | |
% 227.35/34.89 | | | GROUND_INST: instantiating (148) with all_1891_0, all_1921_0,
% 227.35/34.89 | | | tc_RealDef_Oreal, simplifying with (1512), (1528) gives:
% 227.35/34.89 | | | (1581) all_1921_0 = all_1891_0
% 227.35/34.89 | | |
% 227.35/34.89 | | | GROUND_INST: instantiating (148) with all_1736_0, all_1921_0,
% 227.35/34.89 | | | tc_RealDef_Oreal, simplifying with (1467), (1528) gives:
% 227.35/34.89 | | | (1582) all_1921_0 = all_1736_0
% 227.35/34.89 | | |
% 227.35/34.89 | | | GROUND_INST: instantiating (148) with all_1870_0, all_1923_0,
% 227.35/34.89 | | | tc_RealDef_Oreal, simplifying with (1503), (1530) gives:
% 227.35/34.89 | | | (1583) all_1923_0 = all_1870_0
% 227.35/34.89 | | |
% 227.35/34.89 | | | GROUND_INST: instantiating (148) with all_1839_0, all_1923_0,
% 227.35/34.89 | | | tc_RealDef_Oreal, simplifying with (1491), (1530) gives:
% 227.35/34.89 | | | (1584) all_1923_0 = all_1839_0
% 227.35/34.89 | | |
% 227.35/34.89 | | | GROUND_INST: instantiating (148) with all_1899_0, all_1931_0,
% 227.35/34.89 | | | tc_RealDef_Oreal, simplifying with (1518), (1535) gives:
% 227.35/34.89 | | | (1585) all_1931_0 = all_1899_0
% 227.35/34.89 | | |
% 227.35/34.89 | | | GROUND_INST: instantiating (148) with all_1884_0, all_1933_0,
% 227.35/34.89 | | | tc_RealDef_Oreal, simplifying with (1510), (1537) gives:
% 227.35/34.89 | | | (1586) all_1933_0 = all_1884_0
% 227.35/34.89 | | |
% 227.35/34.89 | | | GROUND_INST: instantiating (148) with all_1864_0, all_1933_0,
% 227.35/34.89 | | | tc_RealDef_Oreal, simplifying with (1497), (1537) gives:
% 227.35/34.89 | | | (1587) all_1933_0 = all_1864_0
% 227.35/34.89 | | |
% 227.35/34.89 | | | GROUND_INST: instantiating (148) with all_1734_0, all_1933_0,
% 227.35/34.89 | | | tc_RealDef_Oreal, simplifying with (1464), (1537) gives:
% 227.35/34.89 | | | (1588) all_1933_0 = all_1734_0
% 227.35/34.89 | | |
% 227.35/34.89 | | | GROUND_INST: instantiating (148) with all_1714_0, all_1933_0,
% 227.35/34.89 | | | tc_RealDef_Oreal, simplifying with (1458), (1537) gives:
% 227.35/34.89 | | | (1589) all_1933_0 = all_1714_0
% 227.35/34.89 | | |
% 227.35/34.90 | | | GROUND_INST: instantiating (148) with all_1712_0, all_1933_0,
% 227.35/34.90 | | | tc_RealDef_Oreal, simplifying with (1456), (1537) gives:
% 227.35/34.90 | | | (1590) all_1933_0 = all_1712_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | GROUND_INST: instantiating (148) with all_1923_0, all_1937_0,
% 227.35/34.90 | | | tc_RealDef_Oreal, simplifying with (1530), (1539) gives:
% 227.35/34.90 | | | (1591) all_1937_0 = all_1923_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | GROUND_INST: instantiating (148) with all_1841_0, all_1937_0,
% 227.35/34.90 | | | tc_RealDef_Oreal, simplifying with (1493), (1539) gives:
% 227.35/34.90 | | | (1592) all_1937_0 = all_1841_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | GROUND_INST: instantiating (148) with all_1893_0, all_1950_0,
% 227.35/34.90 | | | tc_RealDef_Oreal, simplifying with (1514), (1544) gives:
% 227.35/34.90 | | | (1593) all_1950_0 = all_1893_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | GROUND_INST: instantiating (148) with all_1688_0, all_1950_0,
% 227.35/34.90 | | | tc_RealDef_Oreal, simplifying with (1454), (1544) gives:
% 227.35/34.90 | | | (1594) all_1950_0 = all_1688_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | GROUND_INST: instantiating (148) with all_1931_0, all_1958_0,
% 227.35/34.90 | | | tc_RealDef_Oreal, simplifying with (1535), (1548) gives:
% 227.35/34.90 | | | (1595) all_1958_0 = all_1931_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | GROUND_INST: instantiating (148) with all_1868_0, all_1958_0,
% 227.35/34.90 | | | tc_RealDef_Oreal, simplifying with (1501), (1548) gives:
% 227.35/34.90 | | | (1596) all_1958_0 = all_1868_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | GROUND_INST: instantiating (148) with all_1901_0, all_1979_0,
% 227.35/34.90 | | | tc_RealDef_Oreal, simplifying with (1520), (1558) gives:
% 227.35/34.90 | | | (1597) all_1979_0 = all_1901_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | GROUND_INST: instantiating (148) with all_1872_0, all_1979_0,
% 227.35/34.90 | | | tc_RealDef_Oreal, simplifying with (1505), (1558) gives:
% 227.35/34.90 | | | (1598) all_1979_0 = all_1872_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | GROUND_INST: instantiating (148) with all_1866_0, all_1979_0,
% 227.35/34.90 | | | tc_RealDef_Oreal, simplifying with (1499), (1558) gives:
% 227.35/34.90 | | | (1599) all_1979_0 = all_1866_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | GROUND_INST: instantiating (148) with all_1979_0, all_2062_0,
% 227.35/34.90 | | | tc_RealDef_Oreal, simplifying with (1558), (1560) gives:
% 227.35/34.90 | | | (1600) all_2062_0 = all_1979_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | GROUND_INST: instantiating (148) with all_1956_0, all_2062_0,
% 227.35/34.90 | | | tc_RealDef_Oreal, simplifying with (1546), (1560) gives:
% 227.35/34.90 | | | (1601) all_2062_0 = all_1956_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | GROUND_INST: instantiating (148) with all_1899_0, all_2064_0,
% 227.35/34.90 | | | tc_RealDef_Oreal, simplifying with (1518), (1562) gives:
% 227.35/34.90 | | | (1602) all_2064_0 = all_1899_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | GROUND_INST: instantiating (148) with all_1895_0, all_2064_0,
% 227.35/34.90 | | | tc_RealDef_Oreal, simplifying with (1516), (1562) gives:
% 227.35/34.90 | | | (1603) all_2064_0 = all_1895_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1602), (1603) imply:
% 227.35/34.90 | | | (1604) all_1899_0 = all_1895_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | SIMP: (1604) implies:
% 227.35/34.90 | | | (1605) all_1899_0 = all_1895_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1600), (1601) imply:
% 227.35/34.90 | | | (1606) all_1979_0 = all_1956_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | SIMP: (1606) implies:
% 227.35/34.90 | | | (1607) all_1979_0 = all_1956_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1599), (1607) imply:
% 227.35/34.90 | | | (1608) all_1956_0 = all_1866_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1598), (1607) imply:
% 227.35/34.90 | | | (1609) all_1956_0 = all_1872_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1597), (1607) imply:
% 227.35/34.90 | | | (1610) all_1956_0 = all_1901_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1595), (1596) imply:
% 227.35/34.90 | | | (1611) all_1931_0 = all_1868_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | SIMP: (1611) implies:
% 227.35/34.90 | | | (1612) all_1931_0 = all_1868_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1608), (1610) imply:
% 227.35/34.90 | | | (1613) all_1901_0 = all_1866_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1609), (1610) imply:
% 227.35/34.90 | | | (1614) all_1901_0 = all_1872_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1593), (1594) imply:
% 227.35/34.90 | | | (1615) all_1893_0 = all_1688_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | SIMP: (1615) implies:
% 227.35/34.90 | | | (1616) all_1893_0 = all_1688_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1591), (1592) imply:
% 227.35/34.90 | | | (1617) all_1923_0 = all_1841_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | SIMP: (1617) implies:
% 227.35/34.90 | | | (1618) all_1923_0 = all_1841_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1586), (1590) imply:
% 227.35/34.90 | | | (1619) all_1884_0 = all_1712_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1586), (1589) imply:
% 227.35/34.90 | | | (1620) all_1884_0 = all_1714_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1586), (1588) imply:
% 227.35/34.90 | | | (1621) all_1884_0 = all_1734_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1586), (1587) imply:
% 227.35/34.90 | | | (1622) all_1884_0 = all_1864_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1585), (1612) imply:
% 227.35/34.90 | | | (1623) all_1899_0 = all_1868_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | SIMP: (1623) implies:
% 227.35/34.90 | | | (1624) all_1899_0 = all_1868_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1583), (1618) imply:
% 227.35/34.90 | | | (1625) all_1870_0 = all_1841_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | SIMP: (1625) implies:
% 227.35/34.90 | | | (1626) all_1870_0 = all_1841_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1584), (1618) imply:
% 227.35/34.90 | | | (1627) all_1841_0 = all_1839_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1581), (1582) imply:
% 227.35/34.90 | | | (1628) all_1891_0 = all_1736_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | SIMP: (1628) implies:
% 227.35/34.90 | | | (1629) all_1891_0 = all_1736_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1613), (1614) imply:
% 227.35/34.90 | | | (1630) all_1872_0 = all_1866_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | SIMP: (1630) implies:
% 227.35/34.90 | | | (1631) all_1872_0 = all_1866_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1605), (1624) imply:
% 227.35/34.90 | | | (1632) all_1895_0 = all_1868_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1580), (1605) imply:
% 227.35/34.90 | | | (1633) all_1895_0 = all_1874_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1632), (1633) imply:
% 227.35/34.90 | | | (1634) all_1874_0 = all_1868_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | SIMP: (1634) implies:
% 227.35/34.90 | | | (1635) all_1874_0 = all_1868_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1579), (1616) imply:
% 227.35/34.90 | | | (1636) all_1874_0 = all_1688_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | SIMP: (1636) implies:
% 227.35/34.90 | | | (1637) all_1874_0 = all_1688_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1578), (1629) imply:
% 227.35/34.90 | | | (1638) all_1870_0 = all_1736_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | SIMP: (1638) implies:
% 227.35/34.90 | | | (1639) all_1870_0 = all_1736_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1619), (1622) imply:
% 227.35/34.90 | | | (1640) all_1864_0 = all_1712_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1620), (1622) imply:
% 227.35/34.90 | | | (1641) all_1864_0 = all_1714_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1621), (1622) imply:
% 227.35/34.90 | | | (1642) all_1864_0 = all_1734_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1635), (1637) imply:
% 227.35/34.90 | | | (1643) all_1868_0 = all_1688_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1577), (1635) imply:
% 227.35/34.90 | | | (1644) all_1868_0 = all_1827_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1576), (1631) imply:
% 227.35/34.90 | | | (1645) all_1870_0 = all_1866_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | SIMP: (1645) implies:
% 227.35/34.90 | | | (1646) all_1870_0 = all_1866_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1639), (1646) imply:
% 227.35/34.90 | | | (1647) all_1866_0 = all_1736_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1626), (1646) imply:
% 227.35/34.90 | | | (1648) all_1866_0 = all_1841_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1643), (1644) imply:
% 227.35/34.90 | | | (1649) all_1827_0 = all_1688_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | SIMP: (1649) implies:
% 227.35/34.90 | | | (1650) all_1827_0 = all_1688_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1647), (1648) imply:
% 227.35/34.90 | | | (1651) all_1841_0 = all_1736_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | SIMP: (1651) implies:
% 227.35/34.90 | | | (1652) all_1841_0 = all_1736_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1641), (1642) imply:
% 227.35/34.90 | | | (1653) all_1734_0 = all_1714_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | SIMP: (1653) implies:
% 227.35/34.90 | | | (1654) all_1734_0 = all_1714_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1640), (1641) imply:
% 227.35/34.90 | | | (1655) all_1714_0 = all_1712_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1627), (1652) imply:
% 227.35/34.90 | | | (1656) all_1839_0 = all_1736_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | SIMP: (1656) implies:
% 227.35/34.90 | | | (1657) all_1839_0 = all_1736_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1575), (1657) imply:
% 227.35/34.90 | | | (1658) all_1736_0 = all_1734_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1574), (1657) imply:
% 227.35/34.90 | | | (1659) all_1755_0 = all_1736_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | SIMP: (1659) implies:
% 227.35/34.90 | | | (1660) all_1755_0 = all_1736_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1571), (1572) imply:
% 227.35/34.90 | | | (1661) all_1769_0 = all_1759_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | SIMP: (1661) implies:
% 227.35/34.90 | | | (1662) all_1769_0 = all_1759_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1572), (1573) imply:
% 227.35/34.90 | | | (1663) all_1759_0 = all_1755_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1570), (1650) imply:
% 227.35/34.90 | | | (1664) all_1771_0 = all_1688_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | SIMP: (1664) implies:
% 227.35/34.90 | | | (1665) all_1771_0 = all_1688_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1569), (1665) imply:
% 227.35/34.90 | | | (1666) all_1769_0 = all_1688_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | SIMP: (1666) implies:
% 227.35/34.90 | | | (1667) all_1769_0 = all_1688_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1662), (1667) imply:
% 227.35/34.90 | | | (1668) all_1759_0 = all_1688_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | SIMP: (1668) implies:
% 227.35/34.90 | | | (1669) all_1759_0 = all_1688_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1663), (1669) imply:
% 227.35/34.90 | | | (1670) all_1755_0 = all_1688_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | SIMP: (1670) implies:
% 227.35/34.90 | | | (1671) all_1755_0 = all_1688_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1660), (1671) imply:
% 227.35/34.90 | | | (1672) all_1736_0 = all_1688_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | SIMP: (1672) implies:
% 227.35/34.90 | | | (1673) all_1736_0 = all_1688_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1658), (1673) imply:
% 227.35/34.90 | | | (1674) all_1734_0 = all_1688_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | SIMP: (1674) implies:
% 227.35/34.90 | | | (1675) all_1734_0 = all_1688_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1654), (1675) imply:
% 227.35/34.90 | | | (1676) all_1714_0 = all_1688_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | SIMP: (1676) implies:
% 227.35/34.90 | | | (1677) all_1714_0 = all_1688_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1655), (1677) imply:
% 227.35/34.90 | | | (1678) all_1712_0 = all_1688_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | SIMP: (1678) implies:
% 227.35/34.90 | | | (1679) all_1712_0 = all_1688_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1568), (1679) imply:
% 227.35/34.90 | | | (1680) all_1688_0 = all_737_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1675), (1680) imply:
% 227.35/34.90 | | | (1681) all_1734_0 = all_737_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1673), (1680) imply:
% 227.35/34.90 | | | (1682) all_1736_0 = all_737_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1652), (1682) imply:
% 227.35/34.90 | | | (1683) all_1841_0 = all_737_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1643), (1680) imply:
% 227.35/34.90 | | | (1684) all_1868_0 = all_737_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1635), (1684) imply:
% 227.35/34.90 | | | (1685) all_1874_0 = all_737_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | COMBINE_EQS: (1618), (1683) imply:
% 227.35/34.90 | | | (1686) all_1923_0 = all_737_0
% 227.35/34.90 | | |
% 227.35/34.90 | | | BETA: splitting (1465) gives:
% 227.35/34.90 | | |
% 227.35/34.90 | | | Case 1:
% 227.35/34.90 | | | |
% 227.35/34.90 | | | | (1687) ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1734_0,
% 227.35/34.90 | | | | all_819_0)
% 227.35/34.90 | | | |
% 227.35/34.90 | | | | REDUCE: (1681), (1687) imply:
% 227.35/34.90 | | | | (1688) ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_737_0,
% 227.35/34.90 | | | | all_819_0)
% 227.35/34.90 | | | |
% 227.35/34.90 | | | | PRED_UNIFY: (1564), (1688) imply:
% 227.35/34.90 | | | | (1689) $false
% 227.35/34.90 | | | |
% 227.35/34.90 | | | | CLOSE: (1689) is inconsistent.
% 227.35/34.90 | | | |
% 227.35/34.90 | | | Case 2:
% 227.35/34.90 | | | |
% 227.35/34.90 | | | | (1690) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1734_0,
% 227.35/34.90 | | | | all_1503_3)
% 227.35/34.90 | | | |
% 227.35/34.90 | | | | REDUCE: (1681), (1690) imply:
% 227.35/34.90 | | | | (1691) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_737_0,
% 227.35/34.90 | | | | all_1503_3)
% 227.35/34.90 | | | |
% 227.35/34.90 | | | | BETA: splitting (1508) gives:
% 227.35/34.90 | | | |
% 227.35/34.90 | | | | Case 1:
% 227.35/34.90 | | | | |
% 227.35/34.90 | | | | | (1692) ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.35/34.90 | | | | | all_1874_0, all_1503_3)
% 227.35/34.90 | | | | |
% 227.35/34.90 | | | | | REDUCE: (1685), (1692) imply:
% 227.35/34.90 | | | | | (1693) ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.35/34.90 | | | | | all_737_0, all_1503_3)
% 227.35/34.90 | | | | |
% 227.35/34.90 | | | | | PRED_UNIFY: (1691), (1693) imply:
% 227.35/34.90 | | | | | (1694) $false
% 227.35/34.90 | | | | |
% 227.35/34.90 | | | | | CLOSE: (1694) is inconsistent.
% 227.35/34.90 | | | | |
% 227.35/34.90 | | | | Case 2:
% 227.35/34.90 | | | | |
% 227.35/34.90 | | | | | (1695) ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.35/34.90 | | | | | all_1874_0, v_m____) |
% 227.35/34.90 | | | | | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_1874_0,
% 227.35/34.90 | | | | | all_1503_1)
% 227.35/34.90 | | | | |
% 227.35/34.90 | | | | | BETA: splitting (1531) gives:
% 227.35/34.90 | | | | |
% 227.35/34.90 | | | | | Case 1:
% 227.35/34.90 | | | | | |
% 227.35/34.90 | | | | | | (1696) ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.35/34.90 | | | | | | all_1923_0, all_1503_1)
% 227.35/34.90 | | | | | |
% 227.35/34.90 | | | | | | REDUCE: (1686), (1696) imply:
% 227.35/34.90 | | | | | | (1697) ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.35/34.90 | | | | | | all_737_0, all_1503_1)
% 227.35/34.90 | | | | | |
% 227.35/34.90 | | | | | | BETA: splitting (1695) gives:
% 227.35/34.90 | | | | | |
% 227.35/34.90 | | | | | | Case 1:
% 227.35/34.90 | | | | | | |
% 227.35/34.90 | | | | | | | (1698) ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.35/34.90 | | | | | | | all_1874_0, v_m____)
% 227.35/34.90 | | | | | | |
% 227.35/34.90 | | | | | | | REDUCE: (1685), (1698) imply:
% 227.35/34.90 | | | | | | | (1699) ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.35/34.90 | | | | | | | all_737_0, v_m____)
% 227.35/34.90 | | | | | | |
% 227.35/34.90 | | | | | | | PRED_UNIFY: (1179), (1699) imply:
% 227.35/34.90 | | | | | | | (1700) $false
% 227.35/34.90 | | | | | | |
% 227.35/34.90 | | | | | | | CLOSE: (1700) is inconsistent.
% 227.35/34.90 | | | | | | |
% 227.35/34.90 | | | | | | Case 2:
% 227.35/34.90 | | | | | | |
% 227.35/34.90 | | | | | | | (1701) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.35/34.90 | | | | | | | all_1874_0, all_1503_1)
% 227.35/34.90 | | | | | | |
% 227.35/34.90 | | | | | | | REDUCE: (1685), (1701) imply:
% 227.35/34.90 | | | | | | | (1702) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.35/34.90 | | | | | | | all_737_0, all_1503_1)
% 227.35/34.90 | | | | | | |
% 227.35/34.90 | | | | | | | PRED_UNIFY: (1697), (1702) imply:
% 227.35/34.90 | | | | | | | (1703) $false
% 227.35/34.90 | | | | | | |
% 227.35/34.90 | | | | | | | CLOSE: (1703) is inconsistent.
% 227.35/34.90 | | | | | | |
% 227.35/34.90 | | | | | | End of split
% 227.35/34.90 | | | | | |
% 227.35/34.90 | | | | | Case 2:
% 227.35/34.90 | | | | | |
% 227.35/34.90 | | | | | | (1704) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal,
% 227.35/34.90 | | | | | | all_1923_0, all_1503_0)
% 227.35/34.90 | | | | | |
% 227.35/34.90 | | | | | | REDUCE: (1686), (1704) imply:
% 227.35/34.90 | | | | | | (1705) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_737_0,
% 227.35/34.90 | | | | | | all_1503_0)
% 227.35/34.90 | | | | | |
% 227.35/34.90 | | | | | | PRED_UNIFY: (1180), (1705) imply:
% 227.35/34.90 | | | | | | (1706) $false
% 227.35/34.90 | | | | | |
% 227.35/34.90 | | | | | | CLOSE: (1706) is inconsistent.
% 227.35/34.90 | | | | | |
% 227.35/34.90 | | | | | End of split
% 227.35/34.90 | | | | |
% 227.35/34.90 | | | | End of split
% 227.35/34.90 | | | |
% 227.35/34.90 | | | End of split
% 227.35/34.90 | | |
% 227.35/34.91 | | End of split
% 227.35/34.91 | |
% 227.35/34.91 | Case 2:
% 227.35/34.91 | |
% 227.35/34.91 | | (1707) all_1946_0 = v_w____ &
% 227.35/34.91 | | c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v_w____
% 227.35/34.91 | |
% 227.35/34.91 | | ALPHA: (1707) implies:
% 227.35/34.91 | | (1708) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v_w____
% 227.35/34.91 | |
% 227.35/34.91 | | GROUND_INST: instantiating (148) with all_1730_0, all_1732_0,
% 227.35/34.91 | | tc_Complex_Ocomplex, simplifying with (1460), (1462) gives:
% 227.35/34.91 | | (1709) all_1732_0 = all_1730_0
% 227.35/34.91 | |
% 227.35/34.91 | | GROUND_INST: instantiating (148) with all_1732_0, all_1746_0,
% 227.35/34.91 | | tc_Complex_Ocomplex, simplifying with (1462), (1471) gives:
% 227.35/34.91 | | (1710) all_1746_0 = all_1732_0
% 227.35/34.91 | |
% 227.35/34.91 | | GROUND_INST: instantiating (148) with all_1757_0, all_1773_0,
% 227.35/34.91 | | tc_Complex_Ocomplex, simplifying with (1475), (1485) gives:
% 227.35/34.91 | | (1711) all_1773_0 = all_1757_0
% 227.35/34.91 | |
% 227.35/34.91 | | GROUND_INST: instantiating (148) with v_w____, all_1773_0,
% 227.35/34.91 | | tc_Complex_Ocomplex, simplifying with (1485), (1708) gives:
% 227.35/34.91 | | (1712) all_1773_0 = v_w____
% 227.35/34.91 | |
% 227.35/34.91 | | GROUND_INST: instantiating (148) with all_1757_0, all_1903_0,
% 227.35/34.91 | | tc_Complex_Ocomplex, simplifying with (1475), (1522) gives:
% 227.35/34.91 | | (1713) all_1903_0 = all_1757_0
% 227.35/34.91 | |
% 227.35/34.91 | | GROUND_INST: instantiating (148) with all_1742_0, all_1903_0,
% 227.35/34.91 | | tc_Complex_Ocomplex, simplifying with (1469), (1522) gives:
% 227.35/34.91 | | (1714) all_1903_0 = all_1742_0
% 227.35/34.91 | |
% 227.35/34.91 | | GROUND_INST: instantiating (148) with all_749_0, all_1905_0,
% 227.35/34.91 | | tc_Complex_Ocomplex, simplifying with (167), (1524) gives:
% 227.35/34.91 | | (1715) all_1905_0 = all_749_0
% 227.35/34.91 | |
% 227.35/34.91 | | GROUND_INST: instantiating (148) with all_1746_0, all_1905_0,
% 227.35/34.91 | | tc_Complex_Ocomplex, simplifying with (1471), (1524) gives:
% 227.35/34.91 | | (1716) all_1905_0 = all_1746_0
% 227.35/34.91 | |
% 227.35/34.91 | | GROUND_INST: instantiating (148) with all_1905_0, all_1907_0,
% 227.35/34.91 | | tc_Complex_Ocomplex, simplifying with (1524), (1526) gives:
% 227.35/34.91 | | (1717) all_1907_0 = all_1905_0
% 227.35/34.91 | |
% 227.35/34.91 | | GROUND_INST: instantiating (148) with all_1903_0, all_1929_0,
% 227.35/34.91 | | tc_Complex_Ocomplex, simplifying with (1522), (1533) gives:
% 227.35/34.91 | | (1718) all_1929_0 = all_1903_0
% 227.35/34.91 | |
% 227.35/34.91 | | GROUND_INST: instantiating (148) with all_1929_0, all_1960_0,
% 227.35/34.91 | | tc_Complex_Ocomplex, simplifying with (1533), (1550) gives:
% 227.35/34.91 | | (1719) all_1960_0 = all_1929_0
% 227.35/34.91 | |
% 227.35/34.91 | | GROUND_INST: instantiating (148) with all_1844_0, all_1960_0,
% 227.35/34.91 | | tc_Complex_Ocomplex, simplifying with (1495), (1550) gives:
% 227.35/34.91 | | (1720) all_1960_0 = all_1844_0
% 227.35/34.91 | |
% 227.35/34.91 | | GROUND_INST: instantiating (148) with all_1757_0, all_1962_0,
% 227.35/34.91 | | tc_Complex_Ocomplex, simplifying with (1475), (1552) gives:
% 227.35/34.91 | | (1721) all_1962_0 = all_1757_0
% 227.35/34.91 | |
% 227.35/34.91 | | GROUND_INST: instantiating (148) with all_1730_0, all_1962_0,
% 227.35/34.91 | | tc_Complex_Ocomplex, simplifying with (1460), (1552) gives:
% 227.35/34.91 | | (1722) all_1962_0 = all_1730_0
% 227.35/34.91 | |
% 227.35/34.91 | | GROUND_INST: instantiating (148) with all_1676_0, all_1962_0,
% 227.35/34.91 | | tc_Complex_Ocomplex, simplifying with (1452), (1552) gives:
% 227.35/34.91 | | (1723) all_1962_0 = all_1676_0
% 227.35/34.91 | |
% 227.35/34.91 | | GROUND_INST: instantiating (148) with all_1907_0, all_1973_0,
% 227.35/34.91 | | tc_Complex_Ocomplex, simplifying with (1526), (1554) gives:
% 227.35/34.91 | | (1724) all_1973_0 = all_1907_0
% 227.35/34.91 | |
% 227.35/34.91 | | GROUND_INST: instantiating (148) with all_1973_0, all_1975_0,
% 227.35/34.91 | | tc_Complex_Ocomplex, simplifying with (1554), (1556) gives:
% 227.35/34.91 | | (1725) all_1975_0 = all_1973_0
% 227.35/34.91 | |
% 227.35/34.91 | | GROUND_INST: instantiating (148) with all_1765_0, all_1975_0,
% 227.35/34.91 | | tc_Complex_Ocomplex, simplifying with (1479), (1556) gives:
% 227.35/34.91 | | (1726) all_1975_0 = all_1765_0
% 227.35/34.91 | |
% 227.35/34.91 | | COMBINE_EQS: (1725), (1726) imply:
% 227.35/34.91 | | (1727) all_1973_0 = all_1765_0
% 227.35/34.91 | |
% 227.35/34.91 | | SIMP: (1727) implies:
% 227.35/34.91 | | (1728) all_1973_0 = all_1765_0
% 227.35/34.91 | |
% 227.35/34.91 | | COMBINE_EQS: (1724), (1728) imply:
% 227.35/34.91 | | (1729) all_1907_0 = all_1765_0
% 227.35/34.91 | |
% 227.35/34.91 | | SIMP: (1729) implies:
% 227.35/34.91 | | (1730) all_1907_0 = all_1765_0
% 227.35/34.91 | |
% 227.35/34.91 | | COMBINE_EQS: (1722), (1723) imply:
% 227.35/34.91 | | (1731) all_1730_0 = all_1676_0
% 227.35/34.91 | |
% 227.35/34.91 | | SIMP: (1731) implies:
% 227.35/34.91 | | (1732) all_1730_0 = all_1676_0
% 227.35/34.91 | |
% 227.35/34.91 | | COMBINE_EQS: (1721), (1723) imply:
% 227.35/34.91 | | (1733) all_1757_0 = all_1676_0
% 227.35/34.91 | |
% 227.35/34.91 | | SIMP: (1733) implies:
% 227.35/34.91 | | (1734) all_1757_0 = all_1676_0
% 227.35/34.91 | |
% 227.35/34.91 | | COMBINE_EQS: (1719), (1720) imply:
% 227.35/34.91 | | (1735) all_1929_0 = all_1844_0
% 227.35/34.91 | |
% 227.35/34.91 | | SIMP: (1735) implies:
% 227.35/34.91 | | (1736) all_1929_0 = all_1844_0
% 227.35/34.91 | |
% 227.35/34.91 | | COMBINE_EQS: (1718), (1736) imply:
% 227.35/34.91 | | (1737) all_1903_0 = all_1844_0
% 227.35/34.91 | |
% 227.35/34.91 | | SIMP: (1737) implies:
% 227.35/34.91 | | (1738) all_1903_0 = all_1844_0
% 227.35/34.91 | |
% 227.35/34.91 | | COMBINE_EQS: (1717), (1730) imply:
% 227.35/34.91 | | (1739) all_1905_0 = all_1765_0
% 227.35/34.91 | |
% 227.35/34.91 | | SIMP: (1739) implies:
% 227.35/34.91 | | (1740) all_1905_0 = all_1765_0
% 227.35/34.91 | |
% 227.35/34.91 | | COMBINE_EQS: (1716), (1740) imply:
% 227.35/34.91 | | (1741) all_1765_0 = all_1746_0
% 227.35/34.91 | |
% 227.35/34.91 | | COMBINE_EQS: (1715), (1740) imply:
% 227.35/34.91 | | (1742) all_1765_0 = all_749_0
% 227.35/34.91 | |
% 227.35/34.91 | | COMBINE_EQS: (1713), (1738) imply:
% 227.35/34.91 | | (1743) all_1844_0 = all_1757_0
% 227.35/34.91 | |
% 227.35/34.91 | | COMBINE_EQS: (1714), (1738) imply:
% 227.35/34.91 | | (1744) all_1844_0 = all_1742_0
% 227.35/34.91 | |
% 227.35/34.91 | | COMBINE_EQS: (1743), (1744) imply:
% 227.35/34.91 | | (1745) all_1757_0 = all_1742_0
% 227.35/34.91 | |
% 227.35/34.91 | | SIMP: (1745) implies:
% 227.35/34.91 | | (1746) all_1757_0 = all_1742_0
% 227.35/34.91 | |
% 227.35/34.91 | | COMBINE_EQS: (1711), (1712) imply:
% 227.35/34.91 | | (1747) all_1757_0 = v_w____
% 227.35/34.91 | |
% 227.35/34.91 | | SIMP: (1747) implies:
% 227.35/34.91 | | (1748) all_1757_0 = v_w____
% 227.35/34.91 | |
% 227.35/34.91 | | COMBINE_EQS: (1741), (1742) imply:
% 227.35/34.91 | | (1749) all_1746_0 = all_749_0
% 227.35/34.91 | |
% 227.35/34.91 | | SIMP: (1749) implies:
% 227.35/34.91 | | (1750) all_1746_0 = all_749_0
% 227.35/34.91 | |
% 227.35/34.91 | | COMBINE_EQS: (1734), (1746) imply:
% 227.35/34.91 | | (1751) all_1742_0 = all_1676_0
% 227.35/34.91 | |
% 227.35/34.91 | | COMBINE_EQS: (1746), (1748) imply:
% 227.35/34.91 | | (1752) all_1742_0 = v_w____
% 227.35/34.91 | |
% 227.35/34.91 | | COMBINE_EQS: (1710), (1750) imply:
% 227.35/34.91 | | (1753) all_1732_0 = all_749_0
% 227.35/34.91 | |
% 227.35/34.91 | | SIMP: (1753) implies:
% 227.35/34.91 | | (1754) all_1732_0 = all_749_0
% 227.35/34.91 | |
% 227.35/34.91 | | COMBINE_EQS: (1751), (1752) imply:
% 227.35/34.91 | | (1755) all_1676_0 = v_w____
% 227.35/34.91 | |
% 227.35/34.91 | | SIMP: (1755) implies:
% 227.35/34.91 | | (1756) all_1676_0 = v_w____
% 227.35/34.91 | |
% 227.35/34.91 | | COMBINE_EQS: (1709), (1754) imply:
% 227.35/34.91 | | (1757) all_1730_0 = all_749_0
% 227.35/34.91 | |
% 227.35/34.91 | | SIMP: (1757) implies:
% 227.35/34.91 | | (1758) all_1730_0 = all_749_0
% 227.35/34.91 | |
% 227.35/34.91 | | COMBINE_EQS: (1732), (1758) imply:
% 227.35/34.91 | | (1759) all_1676_0 = all_749_0
% 227.35/34.91 | |
% 227.35/34.91 | | SIMP: (1759) implies:
% 227.35/34.91 | | (1760) all_1676_0 = all_749_0
% 227.35/34.91 | |
% 227.35/34.91 | | COMBINE_EQS: (1756), (1760) imply:
% 227.35/34.91 | | (1761) all_749_0 = v_w____
% 227.35/34.91 | |
% 227.35/34.91 | | SIMP: (1761) implies:
% 227.35/34.91 | | (1762) all_749_0 = v_w____
% 227.35/34.91 | |
% 227.35/34.91 | | REDUCE: (1137), (1762) imply:
% 227.35/34.91 | | (1763) $false
% 227.35/34.91 | |
% 227.35/34.91 | | CLOSE: (1763) is inconsistent.
% 227.35/34.91 | |
% 227.35/34.92 | End of split
% 227.35/34.92 |
% 227.35/34.92 End of proof
% 227.35/34.92 % SZS output end Proof for theBenchmark
% 227.35/34.92
% 227.35/34.92 34311ms
%------------------------------------------------------------------------------